diff --git a/Changelog.txt b/Changelog.txt index 1f7d7a8fa..4f1d1dc5a 100644 --- a/Changelog.txt +++ b/Changelog.txt @@ -1,3 +1,22 @@ +Version 1.0.8.4 + -Added mpfr lib as an option for the reference calculations which adds a lot of speed-up in very deep zooms + -Added and an option to choose the high precision library: Double (53 bits), DoubleDouble(106 Bits), Built-in, Mpfr, Automatic + -Added semi-automatic precision setting + -Optimized the Complex extended exponent library to increase performance + -Optimized the pixel calculation when using high precision libraries + -Added the Nanomb1 approximation method for Mandelbrot + -Added Normal Map (and distance estimation) Statistical coloring method support for Series Approximation and Nanomb1 + -Fixed the Julia Perturbation algorithm in order to use a dedicated second reference for glitch checks + -Changed the Julia seed to support high precision + -Added the multiwave algorithm with some presets under the "Generated Palette option" + -Changed the thread mechanism to support different type of splits (Grid, Vertical, Horizontal) + -Added a direct palette loader (Map files in rgp triplet format) and included a lot of presets + -Added pixel jitter as an option + -Added an option to cancel the current render + -Modified quick-draw in order to have a configurable delay before the full render, and also added an option to zoom only to current center + -Fixed a bug with BLA and period + -Bug fixes and stability changes + Version 1.0.8.3 -Fixed Normal Map (and distance estimation) Statistical coloring method to work correctly with BLA -Changed the 1-Step BLA radius which increased the performance diff --git a/README.txt b/README.txt index bfdf3106a..5d208dd73 100644 --- a/README.txt +++ b/README.txt @@ -1,12 +1,11 @@ -Fractal Zoomer 1.0.8.3 +Fractal Zoomer 1.0.8.4 The most complete fractal generating software using java! Optimizations: Boundary Tracing Divide and Conquer -Pertubation Theory -Periodicity Checking +Perturbation Theory Functions: Over 200 different fractal generating functions @@ -16,7 +15,7 @@ User Formulas Custom user functions (code written by the user) Plane transformations Rotation -Perturbation +Initial Perturbation Initial Value Bailout Tests Palette editor diff --git a/lib/jackson-annotations-2.13.4.jar b/lib/jackson-annotations-2.13.4.jar new file mode 100644 index 000000000..0c5e9c1b0 Binary files /dev/null and b/lib/jackson-annotations-2.13.4.jar differ diff --git a/lib/jackson-annotations-2.9.0.jar b/lib/jackson-annotations-2.9.0.jar deleted file mode 100644 index c602d75d4..000000000 Binary files a/lib/jackson-annotations-2.9.0.jar and /dev/null differ diff --git a/lib/jackson-core-2.13.4.jar b/lib/jackson-core-2.13.4.jar new file mode 100644 index 000000000..0cb7a375f Binary files /dev/null and b/lib/jackson-core-2.13.4.jar differ diff --git a/lib/jackson-core-2.9.8.jar b/lib/jackson-core-2.9.8.jar deleted file mode 100644 index 362f1f393..000000000 Binary files a/lib/jackson-core-2.9.8.jar and /dev/null differ diff --git a/lib/jackson-databind-2.13.4.jar b/lib/jackson-databind-2.13.4.jar new file mode 100644 index 000000000..e59347432 Binary files /dev/null and b/lib/jackson-databind-2.13.4.jar differ diff --git a/lib/jackson-databind-2.9.8.jar b/lib/jackson-databind-2.9.8.jar deleted file mode 100644 index 2d8687b5d..000000000 Binary files a/lib/jackson-databind-2.9.8.jar and /dev/null differ diff --git a/lib/jna-5.12.1.jar b/lib/jna-5.12.1.jar new file mode 100644 index 000000000..77f8c7ae0 Binary files /dev/null and b/lib/jna-5.12.1.jar differ diff --git a/src/fractalzoomer/bailout_conditions/BailoutCondition.java b/src/fractalzoomer/bailout_conditions/BailoutCondition.java index 62de8e2b6..dd3cc717d 100644 --- a/src/fractalzoomer/bailout_conditions/BailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/BailoutCondition.java @@ -18,6 +18,7 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -28,13 +29,15 @@ public abstract class BailoutCondition { protected double bound; protected Apfloat ddbound; protected BigNum bnbound; + protected DoubleDouble ddcbound; protected int id; - public BailoutCondition(double bound) { + protected BailoutCondition(double bound) { this.bound = bound; if(ThreadDraw.PERTURBATION_THEORY) { ddbound = new MyApfloat(bound); + ddcbound = new DoubleDouble(bound); if(ThreadDraw.USE_BIGNUM_FOR_REF_IF_POSSIBLE) { bnbound = new BigNum(ddbound); @@ -47,14 +50,26 @@ public BailoutCondition(double bound) { public abstract boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, Apfloat norm_squared, BigComplex pixel); public abstract boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel); + public abstract boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel); + + public abstract boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel); public boolean Escaped(GenericComplex z, GenericComplex zold, GenericComplex zold2, int iterations, GenericComplex c, GenericComplex start, GenericComplex c0, Object norm_squared, GenericComplex pixel) { if(z instanceof BigNumComplex) { return escaped((BigNumComplex)z, (BigNumComplex)zold, (BigNumComplex)zold2, iterations, (BigNumComplex)c, (BigNumComplex)start, (BigNumComplex)c0, (BigNum) norm_squared, (BigNumComplex)pixel); } - else { + else if(z instanceof MpfrBigNumComplex) { + return escaped((MpfrBigNumComplex)z, (MpfrBigNumComplex)zold, (MpfrBigNumComplex)zold2, iterations, (MpfrBigNumComplex)c, (MpfrBigNumComplex)start, (MpfrBigNumComplex)c0, (MpfrBigNum) norm_squared, (MpfrBigNumComplex)pixel); + } + else if (z instanceof BigComplex) { return escaped((BigComplex)z, (BigComplex)zold, (BigComplex)zold2, iterations, (BigComplex)c, (BigComplex)start, (BigComplex)c0, (Apfloat) norm_squared, (BigComplex)pixel); } + else if (z instanceof DDComplex) { + return escaped((DDComplex)z, (DDComplex)zold, (DDComplex)zold2, iterations, (DDComplex)c, (DDComplex)start, (DDComplex)c0, (DoubleDouble) norm_squared, (DDComplex)pixel); + } + else { + return escaped((Complex) z, (Complex)zold, (Complex)zold2, iterations, (Complex)c, (Complex)start, (Complex)c0, (double) norm_squared, (Complex)pixel); + } } public int getId() { diff --git a/src/fractalzoomer/bailout_conditions/CircleBailoutCondition.java b/src/fractalzoomer/bailout_conditions/CircleBailoutCondition.java index 4088a324c..3f884afba 100644 --- a/src/fractalzoomer/bailout_conditions/CircleBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/CircleBailoutCondition.java @@ -16,10 +16,8 @@ */ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; @@ -53,5 +51,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.norm_squared().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.norm_squared().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.norm_squared().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/CircleBailoutPreCalcNormCondition.java b/src/fractalzoomer/bailout_conditions/CircleBailoutPreCalcNormCondition.java index 92277e9e5..114d01538 100644 --- a/src/fractalzoomer/bailout_conditions/CircleBailoutPreCalcNormCondition.java +++ b/src/fractalzoomer/bailout_conditions/CircleBailoutPreCalcNormCondition.java @@ -1,9 +1,7 @@ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class CircleBailoutPreCalcNormCondition extends BailoutCondition { @@ -32,4 +30,16 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return norm_squared.compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return norm_squared.compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return norm_squared.compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/CrossBailoutCondition.java b/src/fractalzoomer/bailout_conditions/CrossBailoutCondition.java index e1c1c77fa..609616fc2 100644 --- a/src/fractalzoomer/bailout_conditions/CrossBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/CrossBailoutCondition.java @@ -16,10 +16,8 @@ */ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -52,5 +50,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.getAbsRe().compare(bnbound) >= 0 && z.getAbsIm().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.getAbsRe().compare(bound) >= 0 && z.getAbsIm().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.getAbsRe().compareTo(ddcbound) >= 0 && z.getAbsIm().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/CustomBailoutCondition.java b/src/fractalzoomer/bailout_conditions/CustomBailoutCondition.java index bc4ffc783..83a27e047 100644 --- a/src/fractalzoomer/bailout_conditions/CustomBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/CustomBailoutCondition.java @@ -1,9 +1,7 @@ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class CustomBailoutCondition extends BailoutCondition { @@ -32,4 +30,16 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.toComplex().norm() >= bound; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.norm().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.norm().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/FieldLinesBailoutCondition.java b/src/fractalzoomer/bailout_conditions/FieldLinesBailoutCondition.java index 6fe1532ab..d740053ef 100644 --- a/src/fractalzoomer/bailout_conditions/FieldLinesBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/FieldLinesBailoutCondition.java @@ -17,6 +17,7 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -63,5 +64,31 @@ public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, return false; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + MpfrBigNum zoldRe = zold.getRe(); + MpfrBigNum zoldIm = zold.getIm(); + + if(iterations > 1 && (zoldRe.compare(0) == 0 || zoldIm.compare(0) == 0)) { + return false; + } + + return iterations > 1 && z.getRe().divide(zoldRe).compare(bound) >= 0 && z.getIm().divide(zoldIm).compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + DoubleDouble zoldRe = zold.getRe(); + DoubleDouble zoldIm = zold.getIm(); + + if(iterations > 1 && (zoldRe.compareTo(0) == 0 || zoldIm.compareTo(0) == 0)) { + return false; + } + + return iterations > 1 && z.getRe().divide(zoldRe).compareTo(ddcbound) >= 0 && z.getIm().divide(zoldIm).compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/HalfplaneBailoutCondition.java b/src/fractalzoomer/bailout_conditions/HalfplaneBailoutCondition.java index e681eb11e..14597f4c3 100644 --- a/src/fractalzoomer/bailout_conditions/HalfplaneBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/HalfplaneBailoutCondition.java @@ -16,10 +16,8 @@ */ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; @@ -53,5 +51,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.getRe().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.getRe().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.getRe().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/ImaginaryStripBailoutCondition.java b/src/fractalzoomer/bailout_conditions/ImaginaryStripBailoutCondition.java index 82c9bc974..47c5e19d0 100644 --- a/src/fractalzoomer/bailout_conditions/ImaginaryStripBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/ImaginaryStripBailoutCondition.java @@ -16,10 +16,8 @@ */ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -52,5 +50,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.getAbsIm().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.getAbsIm().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.getAbsIm().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/NNormBailoutCondition.java b/src/fractalzoomer/bailout_conditions/NNormBailoutCondition.java index d0175c142..b76e9066e 100644 --- a/src/fractalzoomer/bailout_conditions/NNormBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/NNormBailoutCondition.java @@ -18,6 +18,8 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.LibMpfr; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apcomplex; import org.apfloat.Apfloat; @@ -28,13 +30,27 @@ public class NNormBailoutCondition extends BailoutCondition { protected double n_norm; protected Apfloat ddn_norm; + protected MpfrBigNum mpfrbn_norm; + + protected DoubleDouble dddn_norm; public NNormBailoutCondition(double bound, double n_norm) { super(bound); this.n_norm = n_norm; - ddn_norm = new MyApfloat(n_norm); - + + if(ThreadDraw.PERTURBATION_THEORY) { + ddn_norm = new MyApfloat(n_norm); + dddn_norm = new DoubleDouble(n_norm); + + if(ThreadDraw.USE_BIGNUM_FOR_REF_IF_POSSIBLE) { + + if(LibMpfr.LOAD_ERROR == null) { + mpfrbn_norm = new MpfrBigNum(n_norm); + } + } + } + } @Override //N norm @@ -57,7 +73,30 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter @Override public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { + if(n_norm == 0) { + return false; + } return z.toComplex().nnorm(n_norm) >= bound; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + if(mpfrbn_norm.isZero()) { + return false; + } + + return z.nnorm(mpfrbn_norm).compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + if(dddn_norm.isZero()) { + return false; + } + + return z.nnorm(dddn_norm).compareTo(ddcbound) >= 0; + + } } \ No newline at end of file diff --git a/src/fractalzoomer/bailout_conditions/NoBailoutCondition.java b/src/fractalzoomer/bailout_conditions/NoBailoutCondition.java index 349e4eaf6..6f8f3faaa 100644 --- a/src/fractalzoomer/bailout_conditions/NoBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/NoBailoutCondition.java @@ -1,9 +1,7 @@ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class NoBailoutCondition extends BailoutCondition { @@ -32,4 +30,16 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return false; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return false; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return false; + + } } diff --git a/src/fractalzoomer/bailout_conditions/RealPlusImaginarySquaredBailoutCondition.java b/src/fractalzoomer/bailout_conditions/RealPlusImaginarySquaredBailoutCondition.java index 6753640a0..565af2e5f 100644 --- a/src/fractalzoomer/bailout_conditions/RealPlusImaginarySquaredBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/RealPlusImaginarySquaredBailoutCondition.java @@ -17,6 +17,7 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -52,5 +53,22 @@ public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, BigNum temp = z.getRe().add(z.getIm()); return temp.squareFull().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + MpfrBigNum temp = new MpfrBigNum(); + temp.set(z.getRe()); + temp.add(z.getIm(), temp); + temp.square(temp); + return temp.compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + DoubleDouble temp = z.getRe().add(z.getIm()); + return temp.sqr().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/RealStripBailoutCondition.java b/src/fractalzoomer/bailout_conditions/RealStripBailoutCondition.java index 9e7528964..182ba7cb6 100644 --- a/src/fractalzoomer/bailout_conditions/RealStripBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/RealStripBailoutCondition.java @@ -17,10 +17,8 @@ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; @@ -54,5 +52,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.getAbsRe().compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.getAbsRe().compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.getAbsRe().compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/RhombusBailoutCondition.java b/src/fractalzoomer/bailout_conditions/RhombusBailoutCondition.java index 2a4f46bb4..0fb13313e 100644 --- a/src/fractalzoomer/bailout_conditions/RhombusBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/RhombusBailoutCondition.java @@ -18,6 +18,7 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -50,5 +51,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return z.getAbsRe().add(z.getAbsIm()).compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return z.getAbsRe().add(z.getAbsIm()).compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return z.getAbsRe().add(z.getAbsIm()).compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/SkipBailoutCondition.java b/src/fractalzoomer/bailout_conditions/SkipBailoutCondition.java index 4ff5b5694..29b950492 100644 --- a/src/fractalzoomer/bailout_conditions/SkipBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/SkipBailoutCondition.java @@ -16,10 +16,8 @@ */ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -59,6 +57,17 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter } + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.escaped(z, zold, zold2, iterations, c, start, c0, norm_squared, pixel); + + } + @Override public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { if(iterations < SKIPPED_ITERATION_COUNT) { @@ -67,5 +76,14 @@ public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, return wrappedCondition.escaped(z, zold, zold2, iterations, c, start, c0, norm_squared, pixel); } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.escaped(z, zold, zold2, iterations, c, start, c0, norm_squared, pixel); + } } diff --git a/src/fractalzoomer/bailout_conditions/SquareBailoutCondition.java b/src/fractalzoomer/bailout_conditions/SquareBailoutCondition.java index 934163e47..c9d9beecf 100644 --- a/src/fractalzoomer/bailout_conditions/SquareBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/SquareBailoutCondition.java @@ -17,10 +17,8 @@ package fractalzoomer.bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.BigNum; -import fractalzoomer.core.BigNumComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; import org.apfloat.ApfloatMath; @@ -65,5 +63,27 @@ public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, return max.compare(bnbound) >= 0; } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + MpfrBigNum absRe = z.getAbsRe(); + MpfrBigNum absIm = z.getAbsIm(); + + MpfrBigNum max = absRe.compare(absIm) == 1 ? absRe : absIm; + + return max.compare(bound) >= 0; + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + DoubleDouble absRe = z.getAbsRe(); + DoubleDouble absIm = z.getAbsIm(); + + DoubleDouble max = absRe.compareTo(absIm) == 1 ? absRe : absIm; + + return max.compareTo(ddcbound) >= 0; + + } } diff --git a/src/fractalzoomer/bailout_conditions/UserBailoutCondition.java b/src/fractalzoomer/bailout_conditions/UserBailoutCondition.java index 8e9af544e..c298c8241 100644 --- a/src/fractalzoomer/bailout_conditions/UserBailoutCondition.java +++ b/src/fractalzoomer/bailout_conditions/UserBailoutCondition.java @@ -18,6 +18,7 @@ package fractalzoomer.bailout_conditions; import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import fractalzoomer.main.MainWindow; import fractalzoomer.parser.ExpressionNode; import fractalzoomer.parser.Parser; @@ -223,4 +224,16 @@ public boolean escaped(BigComplex z, BigComplex zold, BigComplex zold2, int iter public boolean escaped(BigNumComplex z, BigNumComplex zold, BigNumComplex zold2, int iterations, BigNumComplex c, BigNumComplex start, BigNumComplex c0, BigNum norm_squared, BigNumComplex pixel) { return escaped(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), norm_squared.doubleValue(), pixel.toComplex()); } + + @Override + public boolean escaped(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNum norm_squared, MpfrBigNumComplex pixel) { + return escaped(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), norm_squared.doubleValue(), pixel.toComplex()); + } + + @Override + public boolean escaped(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DoubleDouble norm_squared, DDComplex pixel) { + + return escaped(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), norm_squared.doubleValue(), pixel.toComplex()); + + } } diff --git a/src/fractalzoomer/color_maps/BLEND8.MAP b/src/fractalzoomer/color_maps/BLEND8.MAP new file 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--git a/src/fractalzoomer/color_maps/VOLCANO.MAP b/src/fractalzoomer/color_maps/VOLCANO.MAP new file mode 100644 index 000000000..365b8320e --- /dev/null +++ b/src/fractalzoomer/color_maps/VOLCANO.MAP @@ -0,0 +1,256 @@ + 0 0 0 An explosion of lava ... by D. 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4 +1 3 5 +0 4 7 +0 6 9 diff --git a/src/fractalzoomer/color_maps/sgg057.map b/src/fractalzoomer/color_maps/sgg057.map new file mode 100644 index 000000000..f07a776d0 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg057.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +70 218 96 RGB cycles 1 1 1 +73 221 99 RGB max's 255 255 255 +76 223 102 RGB phases 4.22 5.48 4.43 +79 225 105 SEED was 6 +82 227 108 +85 229 111 +88 231 114 +91 232 117 +94 234 120 +97 236 124 +100 238 127 +103 239 130 +106 241 133 +109 242 136 +112 243 139 +116 245 142 +119 246 145 +122 247 149 +125 248 152 +128 249 155 +131 250 158 +134 251 161 +138 252 164 +141 252 167 +144 253 170 +147 253 173 +150 254 176 +153 254 179 +156 255 181 +159 255 184 +162 255 187 +165 255 190 +168 255 193 +171 255 195 +174 255 198 +177 255 200 +180 254 203 +183 254 206 +186 253 208 +188 253 210 +191 252 213 +194 252 215 +196 251 217 +199 250 220 +202 249 222 +204 248 224 +207 247 226 +209 246 228 +211 245 230 +214 243 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a/src/fractalzoomer/color_maps/sgg061.map b/src/fractalzoomer/color_maps/sgg061.map new file mode 100644 index 000000000..41e5579b2 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg061.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +252 251 72 RGB cycles 1 1 4 +252 251 61 RGB max's 255 255 255 +251 252 50 RGB phases 0.18 5.99 1.93 +250 253 41 SEED was 6 +249 253 32 +248 254 24 +247 254 17 +246 254 11 +245 255 7 +244 255 3 +242 255 1 +241 255 0 +239 255 0 +238 255 2 +236 255 4 +235 254 8 +233 254 13 +231 253 19 +229 253 26 +227 252 35 +225 252 44 +223 251 54 +221 250 64 +219 249 75 +217 248 87 +215 247 99 +212 246 111 +210 245 124 +207 244 137 +205 242 149 +202 241 161 +200 239 173 +197 238 185 +195 236 196 +192 235 206 +189 233 215 +186 231 224 +184 229 232 +181 227 239 +178 225 244 +175 223 249 +172 221 252 +169 219 254 +166 217 255 +163 215 255 +160 212 253 +157 210 250 +154 207 246 +151 205 241 +148 202 235 +145 200 228 +142 197 219 +139 195 210 +135 192 200 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251 +252 226 247 +253 228 242 +253 230 236 +254 232 229 +254 234 221 +254 235 212 +255 237 203 +255 239 192 +255 240 181 +255 242 169 +255 243 157 +255 244 145 +255 246 133 +254 247 120 +254 248 108 +253 249 95 +253 250 83 diff --git a/src/fractalzoomer/color_maps/sgg062.map b/src/fractalzoomer/color_maps/sgg062.map new file mode 100644 index 000000000..abeb33eab --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg062.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +91 86 66 RGB cycles 3 6 2 +101 68 71 RGB max's 255 255 255 +110 52 77 RGB phases 4.35 1.76 4.16 +119 38 83 SEED was 6 +129 26 89 +138 15 95 +147 8 101 +157 3 107 +166 0 113 +175 1 120 +183 4 126 +192 10 132 +199 18 138 +207 29 145 +214 42 151 +221 57 157 +227 73 163 +233 91 169 +238 109 175 +242 128 181 +246 147 186 +249 165 192 +252 182 197 +253 199 202 +255 214 207 +255 227 212 +255 237 217 +254 246 221 +252 251 225 +250 254 229 +247 255 233 +243 252 236 +239 247 239 +234 239 242 +229 229 245 +223 217 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253 41 +131 253 53 +121 254 67 +112 254 81 +103 254 96 +93 255 111 +85 255 127 +76 255 143 +67 255 158 +59 255 173 +51 255 187 +44 255 201 +37 254 213 +31 254 224 +25 254 234 +20 253 241 diff --git a/src/fractalzoomer/color_maps/sgg066.map b/src/fractalzoomer/color_maps/sgg066.map new file mode 100644 index 000000000..52b1ebab2 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg066.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +196 140 103 RGB cycles 1 1 1 +193 137 99 RGB max's 255 255 255 +191 134 96 RGB phases 0.98 1.45 1.74 +188 130 93 SEED was 6 +185 127 90 +182 124 87 +179 121 84 +177 118 81 +174 115 79 +171 112 76 +168 109 73 +165 105 70 +162 102 67 +159 99 64 +156 96 62 +153 93 59 +150 90 56 +146 87 54 +143 84 51 +140 81 49 +137 78 46 +134 75 44 +131 73 42 +128 70 39 +124 67 37 +121 64 35 +118 62 33 +115 59 31 +112 56 29 +109 54 27 +106 51 25 +103 49 23 +100 46 21 +97 44 20 +93 41 18 +90 39 16 +87 37 15 +85 35 13 +82 33 12 +79 31 11 +76 29 9 +73 27 8 +70 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0 +40 144 1 +49 132 2 +59 118 3 +70 103 5 +82 85 8 +94 68 10 +106 51 13 +118 36 17 diff --git a/src/fractalzoomer/color_maps/sgg083.map b/src/fractalzoomer/color_maps/sgg083.map new file mode 100644 index 000000000..d8879170a --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg083.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +68 0 42 RGB cycles 9 11 8 +81 2 49 RGB max's 118 64 75 +92 6 56 RGB phases 4.64 2.93 4.64 +102 11 62 SEED was 33 +110 19 67 +115 27 71 +118 36 74 +118 44 75 +115 51 75 +109 58 73 +100 62 70 +90 64 66 +78 63 60 +65 61 54 +52 56 47 +40 50 40 +28 42 32 +17 33 25 +9 25 18 +4 17 13 +0 10 8 +0 4 4 +3 1 1 +8 0 0 +16 1 0 +26 5 2 +38 10 5 +51 17 10 +64 25 15 +77 34 21 +89 43 28 +99 50 36 +108 57 43 +114 61 50 +117 64 57 +118 64 63 +116 61 68 +111 57 71 +103 51 74 +94 43 75 +82 35 74 +70 26 73 +57 18 69 +44 11 65 +32 5 59 +21 2 53 +12 0 46 +5 1 39 +1 4 31 +0 9 24 +2 16 18 +6 24 12 +13 33 7 +23 41 3 +34 49 1 +46 56 0 +59 60 1 +72 63 2 +85 64 6 +96 62 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000000000..04879b4de --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg084.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +43 8 4 RGB cycles 2 2 2 +45 10 5 RGB max's 100 76 65 +48 11 6 RGB phases 4.52 3.77 3.61 +50 12 7 SEED was 33 +53 14 8 +55 15 9 +57 17 10 +60 18 11 +62 20 12 +65 21 14 +67 23 15 +69 25 16 +72 27 18 +74 28 19 +76 30 21 +78 32 22 +80 34 24 +82 36 25 +84 38 27 +85 40 28 +87 41 30 +89 43 32 +90 45 33 +92 47 35 +93 49 36 +94 51 38 +95 52 40 +96 54 41 +97 56 43 +98 57 44 +98 59 46 +99 60 47 +99 62 48 +100 63 50 +100 65 51 +100 66 52 +100 67 54 +99 68 55 +99 70 56 +99 71 57 +98 71 58 +97 72 59 +97 73 60 +96 74 61 +95 74 61 +94 75 62 +92 75 63 +91 76 63 +90 76 64 +88 76 64 +86 76 64 +85 76 65 +83 76 65 +81 76 65 +79 75 65 +77 75 65 +75 74 64 +73 74 64 +70 73 64 +68 72 63 +66 72 63 +64 71 62 +61 70 62 +59 69 61 +56 67 60 +54 66 59 +51 65 59 +49 63 58 +47 62 57 +44 61 56 +42 59 54 +39 57 53 +37 56 52 +34 54 51 +32 52 49 +30 51 48 +28 49 46 +26 47 45 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b/src/fractalzoomer/color_maps/sgg088.map new file mode 100644 index 000000000..bc40b1924 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg088.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +180 60 150 RGB cycles 5 4 7 +189 71 171 RGB max's 209 245 251 +196 82 190 RGB phases 5.39 4.08 4.74 +201 94 208 SEED was 33 +206 106 223 +208 118 235 +209 130 244 +209 142 250 +207 154 251 +203 165 249 +198 176 244 +192 187 235 +184 197 222 +175 206 207 +165 215 189 +154 222 170 +142 229 149 +130 234 127 +117 239 106 +104 242 85 +91 244 65 +79 245 47 +66 245 31 +55 244 18 +44 241 9 +34 237 3 +25 233 0 +17 227 1 +11 220 6 +6 212 15 +2 203 26 +0 194 41 +0 184 58 +1 173 77 +4 162 98 +8 150 119 +14 138 141 +21 126 162 +30 114 182 +39 102 201 +50 90 217 +61 79 230 +73 68 241 +86 57 248 +99 47 251 +112 38 251 +124 30 247 +137 22 239 +149 16 228 +160 10 214 +171 6 197 +180 3 178 +189 1 158 +196 0 137 +201 0 115 +206 2 94 +208 5 73 +209 8 54 +209 13 38 +207 19 24 +203 26 13 +198 34 5 +192 43 1 +184 53 0 +175 63 4 +165 74 11 +154 85 21 +142 97 34 +130 109 50 +117 121 69 +104 133 89 +91 145 110 +79 157 132 +66 168 153 +55 179 174 +44 189 193 +34 199 210 +25 208 225 +17 216 237 +11 224 245 +6 230 250 +2 235 251 +0 240 249 +0 243 243 +1 245 233 +4 245 220 +8 245 205 +14 243 187 +21 240 167 +30 236 146 +39 231 124 +50 225 103 +61 218 82 +73 210 62 +86 201 45 +99 191 29 +112 181 17 +124 170 8 +137 159 2 +149 147 0 +160 135 2 +171 123 7 +180 111 16 +189 99 28 +196 87 43 +201 76 61 +206 65 80 +208 55 101 +209 45 122 +209 36 144 +207 28 165 +203 21 185 +198 14 203 +192 9 219 +184 5 232 +175 2 242 +165 1 248 +154 0 251 +142 1 250 +130 2 246 +117 5 238 +104 10 226 +91 15 212 +79 21 195 +66 28 176 +55 36 155 +44 45 134 +34 55 112 +25 66 91 +17 77 70 +11 88 52 +6 100 36 +2 112 22 +0 124 11 +0 136 4 +1 148 0 +4 159 1 +8 171 4 +14 182 12 +21 192 23 +30 202 36 +39 210 53 +50 218 72 +61 225 92 +73 232 113 +86 237 135 +99 241 156 +112 243 177 +124 245 196 +137 245 213 +149 245 227 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24 76 +8 17 57 +14 12 40 +21 7 25 +30 4 14 +39 1 6 +50 0 1 +61 0 0 +73 1 3 +86 4 9 +99 7 19 +112 12 32 +124 18 48 +137 24 66 +149 32 86 +160 41 107 +171 50 129 diff --git a/src/fractalzoomer/color_maps/sgg089.map b/src/fractalzoomer/color_maps/sgg089.map new file mode 100644 index 000000000..dbf6920a6 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg089.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +199 141 7 RGB cycles 4 2 7 +199 147 3 RGB max's 199 240 103 +198 153 1 RGB phases 6.11 4.84 2.45 +197 158 0 SEED was 33 +194 164 1 +190 169 3 +186 175 7 +181 180 12 +175 185 18 +168 190 25 +161 195 33 +152 199 41 +144 203 50 +135 208 59 +126 211 68 +116 215 76 +106 219 83 +97 222 89 +87 225 95 +77 228 99 +68 230 101 +59 232 102 +50 234 102 +42 236 100 +34 237 97 +27 238 92 +20 239 86 +15 240 79 +10 240 71 +6 240 63 +3 239 54 +1 239 45 +0 238 37 +0 237 29 +1 235 21 +3 233 14 +5 231 9 +9 229 5 +14 226 2 +19 223 0 +25 220 0 +32 217 2 +40 213 5 +48 210 9 +56 206 15 +65 201 22 +75 197 29 +84 192 38 +94 187 46 +104 182 55 +114 177 64 +123 172 72 +133 167 80 +142 161 87 +150 156 93 +158 150 97 +166 144 100 +173 138 102 +179 133 102 +185 127 101 +189 121 98 +193 115 94 +196 109 89 +198 103 82 +199 97 75 +199 91 67 +198 86 58 +196 80 49 +193 75 40 +189 69 32 +185 64 24 +179 59 17 +173 54 11 +166 49 6 +159 44 3 +150 40 1 +142 35 0 +133 31 1 +123 27 3 +114 24 7 +104 20 12 +94 17 19 +84 14 26 +75 12 34 +65 9 43 +56 7 51 +48 5 60 +40 4 69 +32 2 77 +25 1 84 +19 1 90 +14 0 95 +9 0 99 +5 0 102 +3 1 103 +1 1 102 +0 2 100 +0 4 96 +1 5 91 +3 7 85 +6 9 78 +10 12 70 +15 14 62 +20 17 53 +27 20 44 +34 24 36 +41 27 27 +50 31 20 +58 35 14 +68 40 8 +77 44 4 +87 49 1 +96 54 0 +106 59 0 +116 64 2 +126 69 5 +135 75 10 +144 80 16 +152 86 23 +160 91 31 +168 97 39 +175 103 48 +181 109 56 +186 115 65 +190 121 73 +194 127 81 +197 132 88 +198 138 93 +199 144 98 +199 150 101 +198 156 102 +195 161 102 +192 167 101 +188 172 98 +184 177 94 +178 182 88 +171 187 81 +164 192 74 +157 197 65 +148 201 57 +139 205 48 +130 210 39 +121 213 31 +111 217 23 +101 220 16 +92 223 10 +82 226 6 +72 229 2 +63 231 0 +54 233 0 +46 235 1 +38 237 4 +30 238 8 +24 239 13 +18 239 20 +12 240 27 +8 240 35 +5 240 44 +2 239 53 +1 238 61 +0 237 70 +0 236 78 +2 234 85 +4 232 91 +7 230 96 +11 228 100 +16 225 102 +22 222 103 +28 219 102 +36 215 99 +43 212 96 +52 208 91 +61 203 84 +70 199 77 +79 195 69 +89 190 61 +99 185 52 +109 180 43 +118 175 34 +128 169 26 +137 164 19 +146 158 13 +154 153 7 +162 147 4 +170 141 1 +176 135 0 +182 130 1 +187 124 3 +191 118 6 +195 112 11 +197 106 17 +199 100 24 +199 94 32 +199 89 40 +197 83 49 +195 77 58 +191 72 66 +187 67 74 +182 61 82 +176 56 89 +170 51 94 +162 47 98 +155 42 101 +146 38 102 +137 33 102 +128 29 101 +118 26 97 +109 22 93 +99 19 87 +89 16 80 +79 13 73 +70 10 64 +61 8 56 +52 6 47 +44 4 38 +36 3 30 +29 2 22 +22 1 15 +16 0 10 +11 0 5 +7 0 2 +4 0 0 +2 1 0 +0 2 2 +0 3 4 +1 4 9 +2 6 14 +5 8 21 +8 10 28 +12 13 36 +18 16 45 +24 19 54 +30 22 63 +38 26 71 +46 29 79 +54 33 86 +63 37 92 +72 42 97 +82 46 100 +92 51 102 +101 56 102 +111 61 101 +121 66 99 +130 72 95 +139 77 90 +148 83 83 +156 88 76 +164 94 68 +171 100 59 +178 106 51 +183 112 42 +188 118 33 +192 124 25 +195 129 18 +198 135 12 diff --git a/src/fractalzoomer/color_maps/sgg090.map b/src/fractalzoomer/color_maps/sgg090.map new file mode 100644 index 000000000..309d0659e --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg090.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +247 204 0 RGB cycles 9 7 6 +254 186 1 RGB max's 255 255 255 +255 165 4 RGB phases 5.71 0.75 2.94 +249 144 10 SEED was 24 +237 122 18 +221 100 29 +199 79 42 +174 60 57 +147 42 73 +119 27 91 +91 15 109 +65 6 128 +42 1 147 +23 0 165 +10 2 183 +2 9 199 +0 18 214 +5 31 227 +15 47 237 +31 65 246 +52 85 251 +76 107 254 +103 128 255 +132 150 252 +159 171 247 +186 191 239 +209 209 229 +229 225 216 +243 238 202 +252 247 186 +255 253 169 +251 255 150 +242 253 132 +227 248 113 +207 239 94 +183 227 77 +156 212 60 +128 194 45 +100 174 31 +73 153 20 +49 131 11 +29 109 5 +14 88 1 +4 68 0 +0 49 2 +2 33 6 +11 20 14 +25 10 23 +45 3 35 +68 0 49 +94 1 65 +122 6 82 +150 14 100 +177 25 119 +202 40 137 +223 57 156 +239 76 174 +250 97 191 +255 119 207 +253 141 220 +246 163 232 +232 183 242 +214 202 249 +191 219 253 +165 233 255 +138 243 254 +109 251 250 +82 255 243 +57 255 234 +35 251 223 +18 243 210 +6 232 194 +1 218 177 +1 202 160 +8 183 141 +20 162 122 +38 141 104 +60 119 85 +85 97 68 +113 76 52 +141 57 38 +169 40 25 +194 25 15 +216 14 8 +234 5 3 +247 1 0 +254 0 1 +255 3 4 +249 10 10 +237 20 18 +221 33 29 +199 50 42 +174 68 57 +147 88 73 +119 110 91 +91 132 109 +65 153 128 +42 174 147 +23 194 165 +10 212 183 +2 227 199 +0 239 214 +5 248 227 +15 253 237 +31 255 246 +52 253 251 +76 247 254 +103 237 255 +132 225 252 +159 209 247 +186 191 239 +209 171 229 +229 150 216 +243 128 202 +252 106 186 +255 85 169 +251 65 150 +242 47 132 +227 31 113 +207 18 94 +183 9 77 +156 2 60 +128 0 45 +100 1 31 +73 7 20 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+4 255 0 +0 254 2 +2 249 6 +11 241 14 +25 229 23 +45 214 35 +68 197 49 +94 177 65 +122 156 82 +150 134 100 +177 112 119 +202 91 137 +223 71 156 +239 52 174 +250 35 191 +255 22 207 +253 11 220 +246 4 232 +232 0 242 +214 1 249 +191 5 253 +165 12 255 +138 24 254 +109 38 250 +82 55 243 +57 74 234 +35 94 223 +18 116 210 +6 138 194 +1 159 177 +1 180 160 +8 199 141 +20 216 122 +38 231 104 +60 242 85 +85 250 68 +113 254 52 +141 255 38 +169 251 25 +194 245 15 +216 234 8 +234 221 3 diff --git a/src/fractalzoomer/color_maps/sgg091.map b/src/fractalzoomer/color_maps/sgg091.map new file mode 100644 index 000000000..3e29be281 --- /dev/null +++ b/src/fractalzoomer/color_maps/sgg091.map @@ -0,0 +1,256 @@ +0 0 0 MAPGEN FRACTINT .MAP created 03-09-1995 +161 132 9 RGB cycles 1 2 3 +163 138 12 RGB max's 206 255 143 +165 145 15 RGB phases 5.28 4.70 3.58 +167 151 18 SEED was 3 +169 157 22 +171 163 26 +173 169 30 +175 175 35 +176 181 39 +178 186 44 +180 192 49 +182 197 54 +183 202 59 +185 207 65 +186 212 70 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75 +109 6 80 +107 8 86 +104 10 91 +102 13 96 +99 16 101 +96 19 105 +94 22 110 +91 26 114 +89 30 118 +86 34 122 +84 38 126 +81 43 129 +79 48 132 +76 52 135 +74 58 137 +72 63 139 +69 68 141 +67 74 142 +64 80 143 +62 86 143 +60 92 143 +57 98 143 +55 104 142 +53 110 141 +51 116 139 +49 123 137 +46 129 135 +44 135 133 +42 141 130 +40 148 126 +38 154 123 +36 160 119 +34 166 115 +32 172 111 +31 178 106 +29 183 101 +27 189 97 +25 194 92 +24 200 86 +22 205 81 +21 210 76 +19 214 71 +18 219 65 +16 223 60 +15 227 55 +14 231 50 +12 234 45 +11 238 40 +10 241 35 +9 243 31 +8 246 27 +7 248 23 +6 250 19 +5 251 16 +5 253 12 +4 254 10 +3 254 7 +3 255 5 +2 255 3 +2 254 2 +1 254 1 +1 253 0 +1 252 0 +0 250 0 +0 248 1 +0 246 2 +0 244 3 +0 241 5 +0 238 7 +0 235 9 +0 232 12 +1 228 15 +1 224 18 +1 220 22 +2 215 26 +2 211 30 +3 206 35 +4 201 39 +4 196 44 +5 190 49 +6 185 54 +7 179 59 +8 173 65 +9 167 70 +10 161 75 +11 155 80 +12 149 86 +13 143 91 +15 137 96 +16 130 101 +17 124 105 +19 118 110 +20 112 114 +22 105 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10 76 SEED was 3 +87 9 74 +84 8 72 +82 7 70 +79 7 68 +76 6 65 +73 5 63 +70 4 61 +67 4 59 +64 3 57 +61 2 55 +58 2 53 +55 2 51 +52 1 49 +49 1 47 +46 1 45 +43 0 43 +40 0 42 +37 0 40 +35 0 38 +32 0 36 +29 0 34 +27 0 33 +24 0 31 +22 1 29 +20 1 28 +18 1 26 +15 2 25 +14 2 23 +12 3 22 +10 3 20 +8 4 19 +7 5 18 +6 5 16 +4 6 15 +3 7 14 +2 8 13 +2 9 12 +1 10 11 +1 11 10 +0 12 9 +0 13 8 +0 14 7 +0 16 6 +0 17 5 +1 18 5 +1 20 4 +2 21 3 +3 22 3 +4 24 2 +5 26 2 +6 27 1 +8 29 1 +9 31 1 +11 32 0 +13 34 0 +14 36 0 +16 38 0 +19 39 0 +21 41 0 +23 43 0 +26 45 0 +28 47 0 +31 49 1 +33 51 1 +36 53 1 +39 56 2 +42 58 2 +44 60 3 +47 62 3 +50 64 4 +53 66 4 +56 69 5 +59 71 6 +62 73 7 +65 75 8 +68 78 9 +71 80 9 +74 82 10 +77 84 12 +80 87 13 +83 89 14 +86 91 15 +88 94 16 +91 96 18 +94 98 19 +96 101 20 +99 103 22 +101 105 23 +103 107 25 +105 110 26 +107 112 28 +109 114 29 +111 117 31 +113 119 33 +114 121 34 +116 123 36 +117 125 38 +118 128 40 +119 130 41 +120 132 43 +121 134 45 +121 136 47 +122 138 49 +122 140 51 +122 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cycles 2 2 1 +0 4 150 RGB max's 170 122 151 +0 3 151 RGB phases 2.97 2.69 6.09 +0 2 151 SEED was 3 +0 1 151 +1 1 151 +1 0 151 +2 0 151 +3 0 151 +4 0 151 +6 0 151 +7 1 151 +9 1 151 +11 2 150 +13 2 150 +16 3 150 +18 4 149 +21 6 149 +24 7 148 +26 8 148 +30 10 147 +33 12 147 +36 14 146 +40 15 145 +43 18 145 +47 20 144 +51 22 143 +55 24 142 +59 27 141 +63 29 140 +67 32 139 +71 35 138 +75 37 137 +79 40 136 +83 43 135 +88 46 134 +92 49 133 +96 52 131 +100 55 130 +104 58 129 +108 61 128 +112 64 126 +116 67 125 +120 70 123 +124 73 122 +128 76 120 +131 79 119 +135 81 117 +138 84 116 +141 87 114 +144 90 113 +147 92 111 +150 95 109 +153 97 108 +155 100 106 +158 102 104 +160 104 102 +162 106 101 +163 108 99 +165 110 97 +166 112 95 +168 113 94 +169 115 92 +169 116 90 +170 117 88 +170 118 86 +170 119 84 +170 120 83 +170 121 81 +170 121 79 +169 122 77 +168 122 75 +167 122 73 +166 122 71 +164 122 70 +163 121 68 +161 121 66 +159 120 64 +157 119 62 +154 118 60 +152 117 58 +149 116 57 +146 115 55 +143 113 53 +140 112 51 +137 110 50 +133 108 48 +130 106 46 +126 104 44 +123 102 43 +119 99 41 +115 97 39 +111 95 38 +107 92 36 +103 89 35 +99 87 33 +94 84 32 +90 81 30 +86 78 29 +82 75 27 +78 72 26 +73 70 24 +69 67 23 +65 64 22 +61 61 20 +57 58 19 +53 55 18 +49 52 17 +46 49 16 +42 46 14 +38 43 13 +35 40 12 +32 37 11 +28 34 10 +25 32 9 +22 29 9 +20 27 8 +17 24 7 +15 22 6 +12 20 5 +10 17 5 +8 15 4 +7 13 4 +5 12 3 +4 10 3 +3 8 2 +2 7 2 +1 6 1 +0 4 1 +0 3 1 +0 2 0 +0 2 0 +0 1 0 +1 1 0 +2 0 0 +3 0 0 +4 0 0 +5 0 0 +6 0 0 +8 1 0 +10 1 1 +12 2 1 +14 3 1 +17 4 2 +19 5 2 +22 6 3 +25 8 3 +28 9 4 +31 11 4 +35 13 5 +38 15 5 +42 17 6 +45 19 7 +49 21 8 +53 23 9 +57 26 9 +61 28 10 +65 31 11 +69 33 12 +73 36 13 +77 39 14 +81 42 16 +86 44 17 +90 47 18 +94 50 19 +98 53 20 +102 56 22 +106 59 23 +110 62 24 +114 65 26 +118 68 27 +122 71 29 +126 74 30 +129 77 32 +133 80 33 +136 83 35 +140 86 36 +143 88 38 +146 91 39 +149 94 41 +152 96 43 +154 98 44 +156 101 46 +159 103 48 +161 105 50 +163 107 51 +164 109 53 +166 111 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207 207 +255 208 208 +209 255 209 +210 255 210 +211 255 211 +212 212 255 +213 213 255 +214 214 255 +255 215 215 +255 216 216 +217 255 217 +218 255 218 +219 255 219 +220 220 255 +221 221 255 +255 222 222 +255 223 223 +255 224 224 +225 255 225 +226 255 226 +227 227 255 +228 228 255 +229 229 255 +255 230 230 +255 231 231 +232 255 232 +233 255 233 +234 255 234 +235 235 255 +236 236 255 +237 237 255 +255 238 238 +255 239 239 +240 255 240 +241 255 241 +242 255 242 +243 243 255 +244 244 255 +255 245 245 +255 246 246 +255 247 247 +248 255 248 +249 255 249 +250 250 255 +251 251 255 +252 252 255 +255 253 253 +255 254 254 + 0 0 0 diff --git a/src/fractalzoomer/convergent_bailout_conditions/CircleDistanceBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/CircleDistanceBailoutCondition.java index 04a02b268..620c23bea 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/CircleDistanceBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/CircleDistanceBailoutCondition.java @@ -1,7 +1,7 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class CircleDistanceBailoutCondition extends ConvergentBailoutCondition { @@ -22,6 +22,20 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return distance.compareTo(ddconvergent_bailout) <= 0; } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + DoubleDouble distance = z.distance_squared(zold); + this.distance = distance.doubleValue(); + return distance.compareTo(ddcconvergent_bailout) <= 0; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNum distance = z.distance_squared(zold); + this.distance = distance.doubleValue(); + return distance.compare(convergent_bailout) <= 0; + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { distance = z.distance_squared(root); @@ -35,6 +49,20 @@ public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex return distance.compareTo(ddconvergent_bailout) <= 0; } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + DoubleDouble distance = z.distance_squared(root); + this.distance = distance.doubleValue(); + return distance.compareTo(ddcconvergent_bailout) <= 0; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNum distance = z.distance_squared(root); + this.distance = distance.doubleValue(); + return distance.compare(convergent_bailout) <= 0; + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { distance = z.distance_squared(root); @@ -47,4 +75,18 @@ public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComp this.distance = distance.doubleValue(); return distance.compareTo(ddconvergent_bailout) <= 0; } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + DoubleDouble distance = z.distance_squared(root); + this.distance = distance.doubleValue(); + return distance.compareTo(ddcconvergent_bailout) <= 0; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNum distance = z.distance_squared(root); + this.distance = distance.doubleValue(); + return distance.compare(convergent_bailout) <= 0; + } } diff --git a/src/fractalzoomer/convergent_bailout_conditions/ConvergentBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/ConvergentBailoutCondition.java index beb1b7ce5..af1ab27ea 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/ConvergentBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/ConvergentBailoutCondition.java @@ -17,9 +17,8 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; -import fractalzoomer.core.MyApfloat; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -29,22 +28,74 @@ public abstract class ConvergentBailoutCondition { protected double convergent_bailout; protected Apfloat ddconvergent_bailout; + protected DoubleDouble ddcconvergent_bailout; protected double distance; - public ConvergentBailoutCondition(double convergent_bailout) { + protected ConvergentBailoutCondition(double convergent_bailout) { this.convergent_bailout = convergent_bailout; - ddconvergent_bailout = new MyApfloat(convergent_bailout); + + if(ThreadDraw.PERTURBATION_THEORY) { + ddconvergent_bailout = new MyApfloat(convergent_bailout); + ddcconvergent_bailout = new DoubleDouble(convergent_bailout); + } } public abstract boolean converged(Complex z, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel); public abstract boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel); - public abstract boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel); - public abstract boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel); + public abstract boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel); + + public abstract boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel); + + public abstract boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel); public abstract boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel); + public abstract boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel); + + public abstract boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel); + + + public abstract boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel); + public abstract boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel); + public abstract boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel); + + public abstract boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel); + + public boolean Converged(GenericComplex z, GenericComplex zold, GenericComplex zold2, int iterations, GenericComplex c, GenericComplex start, GenericComplex c0, GenericComplex pixel) { +// if(z instanceof BigNumComplex) { +// return converged((BigNumComplex)z, (BigNumComplex)zold, (BigNumComplex)zold2, iterations, (BigNumComplex)c, (BigNumComplex)start, (BigNumComplex)c0, (BigNumComplex)pixel); +// } + if(z instanceof MpfrBigNumComplex) { + return converged((MpfrBigNumComplex)z, (MpfrBigNumComplex)zold, (MpfrBigNumComplex)zold2, iterations, (MpfrBigNumComplex)c, (MpfrBigNumComplex)start, (MpfrBigNumComplex)c0, (MpfrBigNumComplex)pixel); + } + else if (z instanceof BigComplex) { + return converged((BigComplex)z, (BigComplex)zold, (BigComplex)zold2, iterations, (BigComplex)c, (BigComplex)start, (BigComplex)c0, (BigComplex)pixel); + } + else if (z instanceof DDComplex) { + return converged((DDComplex)z, (DDComplex)zold, (DDComplex)zold2, iterations, (DDComplex)c, (DDComplex)start, (DDComplex)c0, (DDComplex)pixel); + } + else { + return converged((Complex) z, (Complex)zold, (Complex)zold2, iterations, (Complex)c, (Complex)start, (Complex)c0, (Complex)pixel); + } + } + + public boolean Converged(GenericComplex z, Object root, GenericComplex zold, GenericComplex zold2, int iterations, GenericComplex c, GenericComplex start, GenericComplex c0, GenericComplex pixel) { + + if(z instanceof MpfrBigNumComplex) { + return converged((MpfrBigNumComplex)z, (MpfrBigNum)root, (MpfrBigNumComplex)zold, (MpfrBigNumComplex)zold2, iterations, (MpfrBigNumComplex)c, (MpfrBigNumComplex)start, (MpfrBigNumComplex)c0, (MpfrBigNumComplex)pixel); + } + else if (z instanceof BigComplex) { + return converged((BigComplex)z, (Apfloat)root, (BigComplex)zold, (BigComplex)zold2, iterations, (BigComplex)c, (BigComplex)start, (BigComplex)c0, (BigComplex)pixel); + } + else if (z instanceof DDComplex) { + return converged((DDComplex)z, (DoubleDouble) root, (DDComplex)zold, (DDComplex)zold2, iterations, (DDComplex)c, (DDComplex)start, (DDComplex)c0, (DDComplex)pixel); + } + else { + return converged((Complex) z, (Double)root, (Complex)zold, (Complex)zold2, iterations, (Complex)c, (Complex)start, (Complex)c0, (Complex)pixel); + } + } public double getDistance() { return distance; } diff --git a/src/fractalzoomer/convergent_bailout_conditions/NNormDistanceBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/NNormDistanceBailoutCondition.java index e7f3bf999..23c1b6569 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/NNormDistanceBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/NNormDistanceBailoutCondition.java @@ -1,24 +1,43 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; -import fractalzoomer.core.MyApfloat; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.LibMpfr; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apcomplex; import org.apfloat.Apfloat; public class NNormDistanceBailoutCondition extends ConvergentBailoutCondition { protected double n_norm; protected Apfloat ddn_norm; + protected MpfrBigNum mpfrbn_norm; + + protected DoubleDouble ddcn_norm; public NNormDistanceBailoutCondition(double convergent_bailout, double n_norm) { super(convergent_bailout); this.n_norm = n_norm; - ddn_norm = new MyApfloat(n_norm); + + + if(ThreadDraw.PERTURBATION_THEORY) { + ddn_norm = new MyApfloat(n_norm); + ddcn_norm = new DoubleDouble(n_norm); + + if(ThreadDraw.USE_BIGNUM_FOR_REF_IF_POSSIBLE) { + + if(LibMpfr.LOAD_ERROR == null) { + mpfrbn_norm = new MpfrBigNum(n_norm); + } + } + } } @Override public boolean converged(Complex z, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { + if(n_norm == 0) { + return false; + } + Complex diff = z.sub(zold); boolean result = diff.nnorm(n_norm) <= convergent_bailout; @@ -47,9 +66,49 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return result; } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + if(ddcn_norm.isZero()) { + return false; + } + + DDComplex diff = z.sub(zold); + + boolean result = diff.nnorm(ddcn_norm).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + + if(n_norm == 0) { + return false; + } + + MpfrBigNumComplex diff = z.sub(zold); + + boolean result = diff.nnorm(mpfrbn_norm).compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { + if(n_norm == 0) { + return false; + } + Complex diff = z.sub(root); boolean result = diff.nnorm(n_norm) <= convergent_bailout; @@ -60,6 +119,23 @@ public boolean converged(Complex z, double root, Complex zold, Complex zold2, in return result; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + if(n_norm == 0) { + return false; + } + + MpfrBigNumComplex diff = z.sub(root); + + boolean result = diff.nnorm(mpfrbn_norm).compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + @Override public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { @@ -78,9 +154,31 @@ public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex return result; } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + if(ddcn_norm.isZero()) { + return false; + } + + DDComplex diff = z.sub(root); + + boolean result = diff.nnorm(ddcn_norm).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { + if(n_norm == 0) { + return false; + } + Complex diff = z.sub(root); boolean result = diff.nnorm(n_norm) <= convergent_bailout; @@ -108,4 +206,39 @@ public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComp return result; } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + if(ddcn_norm.isZero()) { + return false; + } + + DDComplex diff = z.sub(root); + + boolean result = diff.nnorm(ddcn_norm).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + if(n_norm == 0) { + return false; + } + + MpfrBigNumComplex diff = z.sub(root); + + boolean result = diff.nnorm(mpfrbn_norm).compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } } diff --git a/src/fractalzoomer/convergent_bailout_conditions/NoConvergentBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/NoConvergentBailoutCondition.java index 9aa73612d..13c583fc1 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/NoConvergentBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/NoConvergentBailoutCondition.java @@ -1,7 +1,7 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class NoConvergentBailoutCondition extends ConvergentBailoutCondition { @@ -22,16 +22,36 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return false; } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return false; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return false; + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { return false; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return false; + } + @Override public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { return false; } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return false; + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { return false; @@ -41,4 +61,14 @@ public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, i public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { return false; } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return false; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return false; + } } diff --git a/src/fractalzoomer/convergent_bailout_conditions/RhombusDistanceBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/RhombusDistanceBailoutCondition.java index f4a780f4b..ba361254e 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/RhombusDistanceBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/RhombusDistanceBailoutCondition.java @@ -1,8 +1,7 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; -import fractalzoomer.core.MyApfloat; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; public class RhombusDistanceBailoutCondition extends ConvergentBailoutCondition { @@ -23,6 +22,21 @@ public boolean converged(Complex z, Complex zold, Complex zold2, int iterations, return result; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNumComplex diff = z.sub(zold); + + MpfrBigNum tempRe = diff.getAbsRe(); + tempRe.add(diff.getAbsIm(), tempRe); + boolean result = tempRe.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + @Override public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { @@ -37,6 +51,20 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return result; } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(zold); + + boolean result = diff.getAbsRe().add(diff.getAbsIm()).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { @@ -50,6 +78,23 @@ public boolean converged(Complex z, double root, Complex zold, Complex zold2, in return result; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + + MpfrBigNumComplex diff = z.sub(root); + + MpfrBigNum tempRe = diff.getAbsRe(); + tempRe.add(diff.getAbsIm(), tempRe); + boolean result = tempRe.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + + } + @Override public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { @@ -64,6 +109,20 @@ public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex return result; } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(root); + + boolean result = diff.getAbsRe().add(diff.getAbsIm()).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { @@ -77,6 +136,21 @@ public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, i return result; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNumComplex diff = z.sub(root); + + MpfrBigNum tempRe = diff.getAbsRe(); + tempRe.add(diff.getAbsIm(), tempRe); + boolean result = tempRe.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + @Override public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { @@ -90,4 +164,18 @@ public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComp return result; } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(root); + + boolean result = diff.getAbsRe().add(diff.getAbsIm()).compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } } diff --git a/src/fractalzoomer/convergent_bailout_conditions/SkipConvergentBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/SkipConvergentBailoutCondition.java index 37a335537..db9c1a2c2 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/SkipConvergentBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/SkipConvergentBailoutCondition.java @@ -16,8 +16,8 @@ */ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; /** @@ -54,6 +54,24 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return wrappedCondition.converged(z, zold, zold2, iterations, c, start, c0, pixel); } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, zold, zold2, iterations, c, start, c0, pixel); + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, zold, zold2, iterations, c, start, c0, pixel); + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { if(iterations < SKIPPED_ITERATION_COUNT) { @@ -72,6 +90,24 @@ public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { if(iterations < SKIPPED_ITERATION_COUNT) { @@ -81,6 +117,15 @@ public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, i return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); + } + @Override public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { if(iterations < SKIPPED_ITERATION_COUNT) { @@ -89,4 +134,13 @@ public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComp return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + if(iterations < SKIPPED_ITERATION_COUNT) { + return false; + } + + return wrappedCondition.converged(z, root, zold, zold2, iterations, c, start, c0, pixel); + } } diff --git a/src/fractalzoomer/convergent_bailout_conditions/SquareDistanceBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/SquareDistanceBailoutCondition.java index b9d59502c..3bb2a8ade 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/SquareDistanceBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/SquareDistanceBailoutCondition.java @@ -1,7 +1,7 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import org.apfloat.Apfloat; import org.apfloat.ApfloatMath; @@ -23,6 +23,23 @@ public boolean converged(Complex z, Complex zold, Complex zold2, int iterations, return result; } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNumComplex diff = z.sub(zold); + MpfrBigNum absRe = diff.getAbsRe(); + MpfrBigNum absIm = diff.getAbsIm(); + + MpfrBigNum max = MpfrBigNum.max(absRe, absIm); + + boolean result = max.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + @Override public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { @@ -41,6 +58,24 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return result; } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(zold); + DoubleDouble absRe = diff.getAbsRe(); + DoubleDouble absIm = diff.getAbsIm(); + + DoubleDouble max = absRe.max(absIm); + + boolean result = max.compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(zold).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { @@ -72,6 +107,41 @@ public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex return result; } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(root); + DoubleDouble absRe = diff.getAbsRe(); + DoubleDouble absIm = diff.getAbsIm(); + + DoubleDouble max = absRe.max(absIm); + + boolean result = max.compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNumComplex diff = z.sub(root); + MpfrBigNum absRe = diff.getAbsRe(); + MpfrBigNum absIm = diff.getAbsIm(); + + MpfrBigNum max = MpfrBigNum.max(absRe, absIm); + + boolean result = max.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { @@ -103,4 +173,39 @@ public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComp return result; } + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + + DDComplex diff = z.sub(root); + DoubleDouble absRe = diff.getAbsRe(); + DoubleDouble absIm = diff.getAbsIm(); + + DoubleDouble max = absRe.max(absIm); + + boolean result = max.compareTo(ddcconvergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + MpfrBigNumComplex diff = z.sub(root); + MpfrBigNum absRe = diff.getAbsRe(); + MpfrBigNum absIm = diff.getAbsIm(); + + MpfrBigNum max = MpfrBigNum.max(absRe, absIm); + + boolean result = max.compare(convergent_bailout) <= 0; + + if(result) { + distance = z.distance_squared(root).doubleValue(); + } + + return result; + } + } diff --git a/src/fractalzoomer/convergent_bailout_conditions/UserConvergentBailoutCondition.java b/src/fractalzoomer/convergent_bailout_conditions/UserConvergentBailoutCondition.java index e25483688..c5a0c753f 100644 --- a/src/fractalzoomer/convergent_bailout_conditions/UserConvergentBailoutCondition.java +++ b/src/fractalzoomer/convergent_bailout_conditions/UserConvergentBailoutCondition.java @@ -1,8 +1,7 @@ package fractalzoomer.convergent_bailout_conditions; -import fractalzoomer.core.BigComplex; -import fractalzoomer.core.Complex; -import fractalzoomer.core.ThreadDraw; +import fractalzoomer.core.*; +import fractalzoomer.core.mpfr.MpfrBigNum; import fractalzoomer.main.MainWindow; import fractalzoomer.parser.ExpressionNode; import fractalzoomer.parser.Parser; @@ -211,16 +210,36 @@ public boolean converged(BigComplex z, BigComplex zold, BigComplex zold2, int it return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); } + @Override + public boolean converged(DDComplex z, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } + @Override public boolean converged(Complex z, double root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { return converged(z, zold, zold2, iterations, c, start, c0, pixel); } + @Override + public boolean converged(DDComplex z, DoubleDouble root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } + @Override public boolean converged(BigComplex z, Apfloat root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); } + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNum root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } + @Override public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, int iterations, Complex c, Complex start, Complex c0, Complex pixel) { return converged(z, zold, zold2, iterations, c, start, c0, pixel); @@ -230,4 +249,14 @@ public boolean converged(Complex z, Complex root, Complex zold, Complex zold2, i public boolean converged(BigComplex z, BigComplex root, BigComplex zold, BigComplex zold2, int iterations, BigComplex c, BigComplex start, BigComplex c0, BigComplex pixel) { return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); } + + @Override + public boolean converged(MpfrBigNumComplex z, MpfrBigNumComplex root, MpfrBigNumComplex zold, MpfrBigNumComplex zold2, int iterations, MpfrBigNumComplex c, MpfrBigNumComplex start, MpfrBigNumComplex c0, MpfrBigNumComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } + + @Override + public boolean converged(DDComplex z, DDComplex root, DDComplex zold, DDComplex zold2, int iterations, DDComplex c, DDComplex start, DDComplex c0, DDComplex pixel) { + return converged(z.toComplex(), zold.toComplex(), zold2.toComplex(), iterations, c.toComplex(), start.toComplex(), c0.toComplex(), pixel.toComplex()); + } } diff --git a/src/fractalzoomer/core/BigComplex.java b/src/fractalzoomer/core/BigComplex.java index 8c25da887..696d87578 100644 --- a/src/fractalzoomer/core/BigComplex.java +++ b/src/fractalzoomer/core/BigComplex.java @@ -3,7 +3,6 @@ import fractalzoomer.utils.NormComponents; import org.apfloat.Apfloat; import org.apfloat.ApfloatMath; -import org.apfloat.FixedPrecisionApfloatHelper; public class BigComplex extends GenericComplex { private Apfloat re; @@ -47,6 +46,9 @@ public BigComplex(Complex z) { @Override public BigNumComplex toBigNumComplex() { return new BigNumComplex(this); } + @Override + public MpfrBigNumComplex toMpfrBigNumComplex() { return new MpfrBigNumComplex(this);} + public final Apfloat getRe() { return re; @@ -71,8 +73,9 @@ public final void setIm(Apfloat im) { } + @Override public final Complex toComplex() { - return new Complex(re.doubleValue(), im.doubleValue()); + return new Complex(this); } /* @@ -87,6 +90,7 @@ public final BigComplex plus(BigComplex z) { /* * z + Real */ + @Override public final BigComplex plus(Apfloat number) { return new BigComplex(MyApfloat.fp.add(re, number), im); @@ -121,10 +125,18 @@ public final BigComplex sub(Apfloat number) { } + /* + * z - Imaginary + */ + public final BigComplex sub_i(Apfloat number) { + + return new BigComplex(re, MyApfloat.fp.subtract(im , number)); + + } + /* * Real - z1 */ - @Override public final BigComplex r_sub(Apfloat number) { return new BigComplex(MyApfloat.fp.subtract(number, re), im.negate()); @@ -184,6 +196,7 @@ public final BigComplex divide(BigComplex z) { /* * z / Real */ + @Override public final BigComplex divide(Apfloat number) { return new BigComplex(MyApfloat.fp.divide(re, number), MyApfloat.fp.divide(im, number)); @@ -241,9 +254,8 @@ public final BigComplex cube() { Apfloat temp = MyApfloat.fp.multiply(re, re); Apfloat temp2 = MyApfloat.fp.multiply(im, im); - Apfloat three = new MyApfloat(3.0); - return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(temp2, three))), MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, three), temp2))); + return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(temp2, MyApfloat.THREE))), MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, MyApfloat.THREE), temp2))); } @@ -256,7 +268,7 @@ public final BigComplex fourth() { Apfloat temp = MyApfloat.fp.multiply(re, re); Apfloat temp2 = MyApfloat.fp.multiply(im, im); - return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(new MyApfloat(6), temp2))), MyApfloat.fp.multiply(temp2, temp2)), MyApfloat.fp.multiply(new MyApfloat(4), MyApfloat.fp.multiply(re, MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(temp, temp2))))); + return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(MyApfloat.SIX, temp2))), MyApfloat.fp.multiply(temp2, temp2)), MyApfloat.fp.multiply(MyApfloat.FOUR, MyApfloat.fp.multiply(re, MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(temp, temp2))))); } @@ -269,10 +281,7 @@ public final BigComplex fifth() { Apfloat temp = MyApfloat.fp.multiply(re, re); Apfloat temp2 = MyApfloat.fp.multiply(im, im); - Apfloat five = new MyApfloat(5); - Apfloat ten = new MyApfloat(10); - - return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.add(MyApfloat.fp.multiply(temp, temp), MyApfloat.fp.multiply(temp2, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp2, five), MyApfloat.fp.multiply(temp, ten))))), MyApfloat.fp.multiply(im, MyApfloat.fp.add(MyApfloat.fp.multiply(temp2, temp2), MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, five), MyApfloat.fp.multiply(temp2, ten)))))); + return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.add(MyApfloat.fp.multiply(temp, temp), MyApfloat.fp.multiply(temp2, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp2, MyApfloat.FIVE), MyApfloat.fp.multiply(temp, MyApfloat.TEN))))), MyApfloat.fp.multiply(im, MyApfloat.fp.add(MyApfloat.fp.multiply(temp2, temp2), MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, MyApfloat.FIVE), MyApfloat.fp.multiply(temp2, MyApfloat.TEN)))))); } @@ -286,7 +295,7 @@ public final Apfloat norm_squared() { } @Override - public NormComponents normSquaredWithComponents() { + public NormComponents normSquaredWithComponents(NormComponents n) { Apfloat reSqr = MyApfloat.fp.multiply(re, re); Apfloat imSqr = MyApfloat.fp.multiply(im, im); return new NormComponents(reSqr, imSqr, MyApfloat.fp.add(reSqr, imSqr)); @@ -392,6 +401,7 @@ public final BigComplex conjugate() { /* * -z */ + @Override public final BigComplex negative() { return new BigComplex(re.negate(), im.negate()); @@ -649,6 +659,20 @@ public static final String toString2Pretty(Apfloat real, Apfloat imaginary, Apfl return temp; } + public static final String toString2Pretty(Apfloat real, Apfloat imaginary) { + String temp = ""; + + real = real.compareTo(MyApfloat.ZERO) == 0 ? MyApfloat.ZERO : real; + imaginary = imaginary.compareTo(MyApfloat.ZERO) == 0 ? MyApfloat.ZERO : imaginary; + + if (imaginary.compareTo(MyApfloat.ZERO) >= 0) { + temp = MyApfloat.toStringPretty(real) + "+" + MyApfloat.toStringPretty(imaginary) + "i"; + } else { + temp = MyApfloat.toStringPretty(real) + "" + MyApfloat.toStringPretty(imaginary) + "i"; + } + return temp; + } + /* more efficient z^2 + c */ public final BigComplex square_plus_c(BigComplex c) { @@ -699,16 +723,7 @@ public final boolean isZero() { } - /* more efficient z^2 + c */ - @Override - public final BigComplex square_plus_c(GenericComplex cn) { - BigComplex c = (BigComplex)cn; - Apfloat temp = MyApfloat.fp.multiply(re, im); - - return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(MyApfloat.fp.add(re, im), MyApfloat.fp.subtract(re, im)), c.re), MyApfloat.fp.add(MyApfloat.fp.add(temp, temp), c.im)); - - } /* * z^2 + c @@ -743,9 +758,8 @@ public final BigComplex cubeFast(NormComponents normComponents) { Apfloat temp = (Apfloat) normComponents.reSqr; Apfloat temp2 = (Apfloat) normComponents.imSqr; - Apfloat three = new MyApfloat(3.0); - return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(temp2, three))), MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, three), temp2))); + return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(temp2, MyApfloat.THREE))), MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, MyApfloat.THREE), temp2))); } @@ -758,7 +772,7 @@ public final BigComplex fourthFast(NormComponents normComponents) { Apfloat temp = (Apfloat) normComponents.reSqr; Apfloat temp2 = (Apfloat) normComponents.imSqr; - return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(new MyApfloat(6), temp2))), MyApfloat.fp.multiply(temp2, temp2)), MyApfloat.fp.multiply(new MyApfloat(4), MyApfloat.fp.multiply(re, MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(temp, temp2))))); + return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(temp, MyApfloat.fp.multiply(MyApfloat.SIX, temp2))), MyApfloat.fp.multiply(temp2, temp2)), MyApfloat.fp.multiply(MyApfloat.FOUR, MyApfloat.fp.multiply(re, MyApfloat.fp.multiply(im, MyApfloat.fp.subtract(temp, temp2))))); } @@ -771,10 +785,7 @@ public final BigComplex fifthFast(NormComponents normComponents) { Apfloat temp = (Apfloat) normComponents.reSqr; Apfloat temp2 = (Apfloat) normComponents.imSqr; - Apfloat five = new MyApfloat(5); - Apfloat ten = new MyApfloat(10); - - return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.add(MyApfloat.fp.multiply(temp, temp), MyApfloat.fp.multiply(temp2, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp2, five), MyApfloat.fp.multiply(temp, ten))))), MyApfloat.fp.multiply(im, MyApfloat.fp.add(MyApfloat.fp.multiply(temp2, temp2), MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, five), MyApfloat.fp.multiply(temp2, ten)))))); + return new BigComplex(MyApfloat.fp.multiply(re, MyApfloat.fp.add(MyApfloat.fp.multiply(temp, temp), MyApfloat.fp.multiply(temp2, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp2, MyApfloat.FIVE), MyApfloat.fp.multiply(temp, MyApfloat.TEN))))), MyApfloat.fp.multiply(im, MyApfloat.fp.add(MyApfloat.fp.multiply(temp2, temp2), MyApfloat.fp.multiply(temp, MyApfloat.fp.subtract(MyApfloat.fp.multiply(temp, MyApfloat.FIVE), MyApfloat.fp.multiply(temp2, MyApfloat.TEN)))))); } /* @@ -833,63 +844,57 @@ public final Apfloat distanceSquared(GenericComplex za) { } + @Override + public BigComplex times2() { + return new BigComplex(re.multiply(MyApfloat.TWO), im.multiply(MyApfloat.TWO)); + } - public static void main(String[] args) { - - - MyApfloat.precision = 1500; - MyApfloat.fp = new FixedPrecisionApfloatHelper( MyApfloat.precision); - BigComplex c1 = new BigComplex(new MyApfloat("-1.76856539435366368125259371293453236892641782036550238084035683278139847516020579836940755448093853806358532335622720215954860387925973462676210264185332619249622446097144464301696263314670575799470331597794419853481280083049813344714412669978249805531445637915677921147242961218729448326140934509447244923346834491904750058368493978125046376837105104088610590469955376290684019988563370767077290823529345255614107999427775332199891983963556882307645602243231590462852451961554663143998042396613582745038196155573683320524468218885621413135815233178922623800880270744324820393949165276400291219551742132035215660506960425009699199467178686542633858457116215710847955765911389610660640760093031838759495011431952174690031733085134861830812337744591371152885478077354772622020072507170087102831622232514924494081112032259257747492310876060757910257868803734144196405678120512443001786915069999243567634982118143679073365001032947680409484031048637779321233465936777391817115730373775376125971055725674328445312481196980698269861097741754301242350002619529351486080897755930259555714557011668880546952923003933637167679746220379199085840523329826374660"), new MyApfloat("0.00149693415390767795776818884840489556855946301445691471574014563855527433886417969977385819538260268120841953162872636930325763746322273045770475720864573841501787930094585669029854545526055550254240550601638349230447392478835897915689588386917873306732459133130195499040290663241163281171562214964938877814041525983714426684720617999806166857035264185620487882712073265176954914054913266203287997924901540871019242527521230712886590484380712839459054394699971951683593643432733875864612142164058384584027531954686991700717520592706134315477867770419967332102686480959769035927998828366145957010260008071330081671951130257876517738836139132327131150083875547829353693231330986024536074662266149266972020406424662729505261246207754916338512723205243386084554727716044392705072728590247105881028092304993724655676823686703579759639901910397135711042548453158584111749222905493046484296618244721966973379997931675069363108125568864266991641443350605262290076130999673222331940884558082142583551902556005768303536299446355536559649684565312212482597275388117026700207573378170627060834006934127513560312023382257072757055987599151386137785304306581858")); - //Apcomplex c3 = new Apcomplex(new Apfloat("-1.76856539435366368125259371293453236892641782036550238084035683278139847516020579836940755448093853806358532335622720215954860387925973462676210264185332619249622446097144464301696263314670575799470331597794419853481280083049813344714412669978249805531445637915677921147242961218729448326140934509447244923346834491904750058368493978125046376837105104088610590469955376290684019988563370767077290823529345255614107999427775332199891983963556882307645602243231590462852451961554663143998042396613582745038196155573683320524468218885621413135815233178922623800880270744324820393949165276400291219551742132035215660506960425009699199467178686542633858457116215710847955765911389610660640760093031838759495011431952174690031733085134861830812337744591371152885478077354772622020072507170087102831622232514924494081112032259257747492310876060757910257868803734144196405678120512443001786915069999243567634982118143679073365001032947680409484031048637779321233465936777391817115730373775376125971055725674328445312481196980698269861097741754301242350002619529351486080897755930259555714557011668880546952923003933637167679746220379199085840523329826374660", 1200), new Apfloat("0.00149693415390767795776818884840489556855946301445691471574014563855527433886417969977385819538260268120841953162872636930325763746322273045770475720864573841501787930094585669029854545526055550254240550601638349230447392478835897915689588386917873306732459133130195499040290663241163281171562214964938877814041525983714426684720617999806166857035264185620487882712073265176954914054913266203287997924901540871019242527521230712886590484380712839459054394699971951683593643432733875864612142164058384584027531954686991700717520592706134315477867770419967332102686480959769035927998828366145957010260008071330081671951130257876517738836139132327131150083875547829353693231330986024536074662266149266972020406424662729505261246207754916338512723205243386084554727716044392705072728590247105881028092304993724655676823686703579759639901910397135711042548453158584111749222905493046484296618244721966973379997931675069363108125568864266991641443350605262290076130999673222331940884558082142583551902556005768303536299446355536559649684565312212482597275388117026700207573378170627060834006934127513560312023382257072757055987599151386137785304306581858", 1200)); - - - long runs = 100000; - + @Override + public BigComplex times4() { + return new BigComplex(re.multiply(MyApfloat.FOUR), im.multiply(MyApfloat.FOUR)); + } - BigComplex z; + @Override + public MantExpComplex toMantExpComplex() { return new MantExpComplex(this);} - z = new BigComplex(); - for(long i = 0; i < runs; i++) { - z = z.square_plus_c(c1); - } + @Override + public void set(GenericComplex za) { + BigComplex z = (BigComplex) za; + re = z.re; + im = z.im; + } - z = new BigComplex(); - for(long i = 0; i < runs; i++) { - // z = z.square_plus_c2(c1); - } + /* more efficient z^2 + c */ + @Override + public final BigComplex square_plus_c(GenericComplex cn) { - z = new BigComplex(); - for(long i = 0; i < runs; i++) { - z = z.square_plus_c(c1); - } + BigComplex c = (BigComplex)cn; + Apfloat temp = MyApfloat.fp.multiply(re, im); + return new BigComplex(MyApfloat.fp.add(MyApfloat.fp.multiply(MyApfloat.fp.add(re, im), MyApfloat.fp.subtract(re, im)), c.re), MyApfloat.fp.add(MyApfloat.fp.add(temp, temp), c.im)); - z = new BigComplex(); - for(long i = 0; i < runs; i++) { - //z = z.square_plus_c2(c1); - } + } + /* + * z1 / z2 + */ + @Override + public final BigComplex divide(GenericComplex za) { - z = new BigComplex(); - long time = System.currentTimeMillis(); - for(long i = 0; i < runs; i++) { - z = z.square_plus_c(c1); - } - System.out.println(System.currentTimeMillis() - time); - System.out.println(z.getRe().precision() + " " + z.getIm().precision()); - System.out.println(z); - - z = new BigComplex(); - time = System.currentTimeMillis(); - for(long i = 0; i < runs; i++) { - //z = z.square_plus_c2(c1); - } + BigComplex z = (BigComplex)za; + Apfloat temp = z.re; + Apfloat temp2 = z.im; + Apfloat temp3 = MyApfloat.fp.add(MyApfloat.fp.multiply(temp, temp), MyApfloat.fp.multiply(temp2, temp2)); - System.out.println(System.currentTimeMillis() - time); - System.out.println(z.getRe().precision() + " " + z.getIm().precision()); - System.out.println(z); + return new BigComplex(MyApfloat.fp.divide(MyApfloat.fp.add(MyApfloat.fp.multiply(re, temp), MyApfloat.fp.multiply(im, temp2)), temp3), MyApfloat.fp.divide(MyApfloat.fp.subtract(MyApfloat.fp.multiply(im, temp), MyApfloat.fp.multiply(re, temp2)), temp3)); + } + @Override + public DDComplex toDDComplex() { return new DDComplex(this); } + @Override + public GenericComplex times_mutable(GenericComplex a) {return times(a);} - } + @Override + public GenericComplex sub_mutable(GenericComplex v) { return sub(v); } } diff --git a/src/fractalzoomer/core/BigNum.java b/src/fractalzoomer/core/BigNum.java index 584d51018..b4614dbe4 100644 --- a/src/fractalzoomer/core/BigNum.java +++ b/src/fractalzoomer/core/BigNum.java @@ -42,7 +42,7 @@ public class BigNum { public static void reinitialize(double digits) { //Lets always have even fracDigits - int temp = (int)((digits / SHIFT)); + int temp = (int)(digits / SHIFT); if(temp == 0) { temp = 1; @@ -69,7 +69,7 @@ else if(digits % SHIFT != 0) { } public static void reinitializeTest(double digits) { - fracDigits = ((int)((digits / SHIFT)) + 1) * ThreadDraw.BIGNUM_PRECISION_FACTOR;//should be two if comparing with 64version + fracDigits = ((int)(digits / SHIFT) + 1) * ThreadDraw.BIGNUM_PRECISION_FACTOR;//should be two if comparing with 64version fracDigitsm1 = fracDigits - 1; fracDigitsp1 = fracDigits + 1; @@ -290,7 +290,7 @@ public long getScale() { public static BigNum getNegative(BigNum other) { BigNum copy = new BigNum(); - copy.sign = other.sign;; + copy.sign = other.sign; copy.isOne = other.isOne; int[] otherDigits = other.digits; @@ -371,7 +371,7 @@ public String toString() { public void print() { - Apfloat sum = new MyApfloat(0); + Apfloat sum = MyApfloat.ZERO; int decimal_bit_count = -1; if(sign == -1) { @@ -432,7 +432,7 @@ public int compare(BigNum other) { else if(signA > signB) { return 1; } - else if(signA == signB) { + else {//if(signA == signB) if (signA == 0) { return 0; } @@ -668,6 +668,93 @@ else if(sign == 0) { return result; } + + public BigNum add(int a) { + + BigNum result = new BigNum(); + + int otherSign; + if(a == 0) { + otherSign = 0; + } + else if(a < 0) { + otherSign = -1; + } + else { + otherSign = 1; + } + + int otherDigits = a; + + boolean aIsOne = a == 1 || a == -1; + + int[] resDigits = result.digits; + + int[] digits = this.digits; + int sign = this.sign; + + if(sign == 0 || otherSign == 0) { + if(sign == 0 && otherSign == 0){ + return result; + } + else if(sign == 0) { + result.sign = otherSign; + result.isOne = aIsOne; + + if(otherSign < 0) { + a = ~a + 1; + } + + resDigits[0] = a; + } + else { + result.sign = sign; + result.isOne = isOne; + System.arraycopy(digits, 0, resDigits, 0, digits.length); + } + return result; + } + + if(sign != otherSign) { + if(sign == -1) { + BigNum copy = getNegative(this); + digits = copy.digits; + } + } + else { + if(otherSign < 0) { + otherDigits = ~otherDigits + 1; + } + } + + int isNonZero = 0; + int temp; + for(int i=fracDigits; i>0; i--) { + temp = resDigits[i] = digits[i]; + isNonZero |= temp; + } + + temp = digits[0] + otherDigits; + result.isOne = (temp == 1 || temp == -1) && isNonZero == 0; + isNonZero |= temp; + resDigits[0] = temp; + + if(sign != otherSign) { + if(resDigits[0] < 0) { + result.sign = -1; + result.negSelf(); + } + else { + result.sign = isNonZero != 0 ? 1 : 0; + } + } + else { + result.sign = isNonZero != 0 ? sign : 0; + } + + return result; + } + /* When sign was not an extra field public BigNum sub(BigNum a) { BigNum result = new BigNum(); @@ -768,6 +855,102 @@ else if(sign == 0) { return result; } + public BigNum sub(int a) { + + BigNum result = new BigNum(); + + int otherSign; + if(a == 0) { + otherSign = 0; + } + else if(a < 0) { + otherSign = -1; + } + else { + otherSign = 1; + } + + int otherDigits = a; + + boolean aIsOne = a == 1 || a == -1; + + int[] resDigits = result.digits; + + int[] digits = this.digits; + int sign = this.sign; + + if(sign == 0 || otherSign == 0) { + if(sign == 0 && otherSign == 0){ + return result; + } + else if(sign == 0) { + result.sign = -otherSign; + result.isOne = aIsOne; + + if(otherSign < 0) { + a = ~a + 1; + } + + resDigits[0] = a; + } + else { + result.sign = sign; + result.isOne = isOne; + System.arraycopy(digits, 0, resDigits, 0, digits.length); + } + return result; + } + + if(sign == otherSign) { + // + + -> + - + // - - -> - + + if(sign == -1) { + BigNum copy = getNegative(this); + digits = copy.digits; + + if(otherSign < 0) { + otherDigits = ~otherDigits + 1; + } + } + else { + otherDigits = ~otherDigits + 1; + } + } + else { + if(otherSign < 0) { + otherDigits = ~otherDigits + 1; + } + } + + + int isNonZero = 0; + int temp; + for(int i=fracDigits; i>0; i--) { + temp = resDigits[i] = digits[i]; + isNonZero |= temp; + } + + temp = digits[0] + otherDigits; + result.isOne = (temp == 1 || temp == -1) && isNonZero == 0; + isNonZero |= temp; + resDigits[0] = temp; + + if(sign == otherSign) { + if(resDigits[0] < 0) { + result.sign = -1; + result.negSelf(); + } + else { + result.sign = isNonZero != 0 ? 1 : 0; + } + } + else { + result.sign = isNonZero != 0 ? sign : 0; + } + + return result; + } + public BigNum square() { if(offset <= 15) { return squareFull(); @@ -1871,6 +2054,78 @@ public BigNum mult(BigNum b) { } } + /* Sign is positive */ + public BigNum mult(int value) { + BigNum result = new BigNum(); + + if(sign == 0 || value == 0) { + return result; + } + + int[] resDigits = result.digits; + + boolean bIsOne = value == 1 || value == -1; + + int bsign; + + if(value < 0) { + bsign = -1; + value = ~value + 1; + } + else { + bsign = 1; + } + + if(isOne || bIsOne) { + if (isOne && bIsOne) { + resDigits[0] = 1; + result.isOne = true; + result.sign = sign * bsign; + } + else if(isOne) { + resDigits[0] = value; + result.sign = sign * bsign; + } + else { + System.arraycopy(digits, 0, resDigits, 0, digits.length); + result.sign = sign * bsign; + } + return result; + } + + long old_sum = 0; + long sum; + long carry; + + int isNonZero = 0; + for(int i = fracDigits; i > 0; i--) { + sum = old_sum; //carry from prev + carry = 0; + + sum += (long)digits[i] * (long)value; + carry += sum >>> SHIFT; + sum = sum & MASK; + + int di = (int) (sum); + resDigits[i] = di; + isNonZero |= di; + old_sum = carry; + } + + sum = old_sum; + + sum += (long)digits[0] * (long)value; + + int d0 = (int) (sum); + resDigits[0] = d0; + + result.isOne = d0 == 1 && isNonZero == 0; + + result.sign = sign * bsign; + + return result; + } + @Deprecated public BigNum multFullOLD(BigNum b) { @@ -2966,4 +3221,5 @@ public static BigNum max(BigNum a, BigNum b) { public static BigNum min(BigNum a, BigNum b) { return a.compare(b) < 0 ? a : b; } + } diff --git a/src/fractalzoomer/core/BigNumComplex.java b/src/fractalzoomer/core/BigNumComplex.java index 1d98ec3b1..a6317bef4 100644 --- a/src/fractalzoomer/core/BigNumComplex.java +++ b/src/fractalzoomer/core/BigNumComplex.java @@ -2,7 +2,6 @@ import fractalzoomer.utils.NormComponents; import org.apfloat.Apfloat; -import org.apfloat.FixedPrecisionApfloatHelper; public class BigNumComplex extends GenericComplex { private BigNum re; @@ -72,6 +71,7 @@ public final void setIm(BigNum im) { } + @Override public final Complex toComplex() { return new Complex(re.doubleValue(), im.doubleValue()); } @@ -94,6 +94,13 @@ public final BigNumComplex plus(BigNum number) { } + @Override + public final BigNumComplex plus(int number) { + + return new BigNumComplex(re.add(number), im); + + } + /* * z + Imaginary */ @@ -115,17 +122,31 @@ public final BigNumComplex sub(BigNumComplex z) { /* * z - Real */ - @Override public final BigNumComplex sub(BigNum number) { return new BigNumComplex(re.sub(number), im); } + @Override + public final BigNumComplex sub(int number) { + + return new BigNumComplex(re.sub(number), im); + + } + + /* + * z - Imaginary + */ + public final BigNumComplex sub_i(BigNum number) { + + return new BigNumComplex(re, im.sub(number)); + + } + /* * Real - z1 */ - @Override public final BigNumComplex r_sub(BigNum number) { return new BigNumComplex(number.sub(re), im.negate()); @@ -153,13 +174,22 @@ public final BigNumComplex times(BigNumComplex z) { /* * z1 * Real */ - @Override public final BigNumComplex times(BigNum number) { return new BigNumComplex(re.mult(number), im.mult(number)); } + /* + * z1 * Real + */ + @Override + public final BigNumComplex times(int number) { + + return new BigNumComplex(re.mult(number), im.mult(number)); + + } + /* * z * Imaginary */ @@ -210,9 +240,7 @@ public final BigNumComplex cubeFast(NormComponents normComponents) { BigNum temp = (BigNum)normComponents.reSqr; BigNum temp2 = (BigNum)normComponents.imSqr; - BigNum three = new BigNum(3); - - return new BigNumComplex(re.mult(temp.sub(temp2.mult(three))), im.mult(temp.mult(three).sub(temp2))); + return new BigNumComplex(re.mult(temp.sub(temp2.mult(3))), im.mult(temp.mult(3).sub(temp2))); } @@ -225,7 +253,7 @@ public final BigNumComplex fourthFast(NormComponents normComponents) { BigNum temp = (BigNum)normComponents.reSqr; BigNum temp2 = (BigNum)normComponents.imSqr; - return new BigNumComplex(temp.mult(temp.sub(temp2.mult(new BigNum(6)))).add(temp2.squareFull()), re.mult(im).mult4().mult(temp.sub(temp2))); + return new BigNumComplex(temp.mult(temp.sub(temp2.mult(6))).add(temp2.squareFull()), re.mult(im).mult4().mult(temp.sub(temp2))); } @@ -238,15 +266,12 @@ public final BigNumComplex fifthFast(NormComponents normComponents) { BigNum temp = (BigNum)normComponents.reSqr; BigNum temp2 = (BigNum)normComponents.imSqr; - BigNum five = new BigNum(5); - BigNum ten = new BigNum(10); - - return new BigNumComplex(re.mult(temp.squareFull().add(temp2.mult(temp2.mult(five).sub(temp.mult(ten))))), im.mult(temp2.squareFull().add(temp.mult(temp.mult(five).sub(temp2.mult(ten)))))); + return new BigNumComplex(re.mult(temp.squareFull().add(temp2.mult(temp2.mult(5).sub(temp.mult(10))))), im.mult(temp2.squareFull().add(temp.mult(temp.mult(5).sub(temp2.mult(10)))))); } @Override - public NormComponents normSquaredWithComponents() { + public NormComponents normSquaredWithComponents(NormComponents n) { BigNum reSqr = re.square(); BigNum imSqr = im.square(); return new NormComponents(reSqr, imSqr, reSqr.add(imSqr)); @@ -322,6 +347,7 @@ public final BigNumComplex conjugate() { /* * -z */ + @Override public final BigNumComplex negative() { return new BigNumComplex(re.negate(), im.negate()); @@ -337,9 +363,7 @@ public final BigNumComplex cube() { BigNum temp = re.square(); BigNum temp2 = im.square(); - BigNum three = new BigNum(3); - - return new BigNumComplex(re.mult(temp.sub(temp2.mult(three))), im.mult(temp.mult(three).sub(temp2))); + return new BigNumComplex(re.mult(temp.sub(temp2.mult(3))), im.mult(temp.mult(3).sub(temp2))); } @@ -352,7 +376,7 @@ public final BigNumComplex fourth() { BigNum temp = re.square(); BigNum temp2 = im.square(); - return new BigNumComplex(temp.mult(temp.sub(temp2.mult(new BigNum(6)))).add(temp2.squareFull()), re.mult(im).mult4().mult(temp.sub(temp2))); + return new BigNumComplex(temp.mult(temp.sub(temp2.mult(6))).add(temp2.squareFull()), re.mult(im).mult4().mult(temp.sub(temp2))); } @@ -365,10 +389,7 @@ public final BigNumComplex fifth() { BigNum temp = re.square(); BigNum temp2 = im.square(); - BigNum five = new BigNum(5); - BigNum ten = new BigNum(10); - - return new BigNumComplex(re.mult(temp.squareFull().add(temp2.mult(temp2.mult(five).sub(temp.mult(ten))))), im.mult(temp2.squareFull().add(temp.mult(temp.mult(five).sub(temp2.mult(ten)))))); + return new BigNumComplex(re.mult(temp.squareFull().add(temp2.mult(temp2.mult(5).sub(temp.mult(10))))), im.mult(temp2.squareFull().add(temp.mult(temp.mult(5).sub(temp2.mult(10)))))); } @@ -424,6 +445,7 @@ public final BigNumComplex sub(GenericComplex zn) { /* * z1 + z2 */ + @Override public final BigNumComplex plus(GenericComplex zn) { BigNumComplex z = (BigNumComplex)zn; @@ -446,6 +468,7 @@ public final BigNumComplex square_plus_c(GenericComplex cn) { /* * z1 * z2 */ + @Override public final BigNumComplex times(GenericComplex zn) { BigNumComplex z = (BigNumComplex)zn; @@ -578,4 +601,30 @@ public final BigNum distanceSquared(GenericComplex za) { return temp_re.squareFull().add(temp_im.squareFull()); } + + @Override + public BigNumComplex times2() { + return new BigNumComplex(re.mult2(), im.mult2()); + } + + @Override + public BigNumComplex times4() { + return new BigNumComplex(re.mult4(), im.mult4()); + } + + @Override + public MantExpComplex toMantExpComplex() { return new MantExpComplex(this);} + + @Override + public void set(GenericComplex za) { + BigNumComplex z = (BigNumComplex) za; + re = z.re; + im = z.im; + } + + @Override + public GenericComplex sub_mutable(int a) {return sub(a);} + + @Override + public GenericComplex times_mutable(GenericComplex a) {return times(a);} } diff --git a/src/fractalzoomer/core/Complex.java b/src/fractalzoomer/core/Complex.java index 3f6fd39e3..3912c34eb 100644 --- a/src/fractalzoomer/core/Complex.java +++ b/src/fractalzoomer/core/Complex.java @@ -17,6 +17,7 @@ package fractalzoomer.core; import fractalzoomer.filters_utils.math.Noise; +import fractalzoomer.utils.NormComponents; public final class Complex extends GenericComplex { public static final double HALF_PI = Math.PI * 0.5; @@ -49,6 +50,13 @@ public Complex(Complex z) { } + public Complex(BigComplex c) { + + this.re = c.getRe().doubleValue(); + this.im = c.getIm().doubleValue(); + + } + public final void reset() { re = 0; @@ -71,6 +79,9 @@ public final double getIm() { @Override public BigNumComplex toBigNumComplex() { return new BigNumComplex(this); } + @Override + public MpfrBigNumComplex toMpfrBigNumComplex() { return new MpfrBigNumComplex(this);} + public final void setRe(double re) { this.re = re; @@ -89,6 +100,13 @@ public final void assign(Complex z) { im = z.im; } + + @Override + public void set(GenericComplex za) { + Complex z = (Complex) za; + re = z.re; + im = z.im; + } public final void assign(double re) { @@ -138,6 +156,28 @@ public final Complex plus_mutable(double number) { } + /* + * z + Real + */ + @Override + public final Complex plus(int number) { + + return new Complex(re + number, im); + + } + + /* + * z = z + Real + */ + @Override + public final Complex plus_mutable(int number) { + + re = re + number; + + return this; + + } + /* * z + Imaginary */ @@ -199,6 +239,28 @@ public final Complex sub_mutable(double number) { } + /* + * z - Real + */ + @Override + public final Complex sub(int number) { + + return new Complex(re - number, im); + + } + + /* + * z = z - Real + */ + @Override + public final Complex sub_mutable(int number) { + + re = re - number; + + return this; + + } + /* * Real - z1 */ @@ -320,6 +382,29 @@ public final Complex times_mutable(double number) { } + /* + * z1 * Real + */ + @Override + public final Complex times(int number) { + + return new Complex(re * number, im * number); + + } + + /* + * z1 = z1 * Real + */ + @Override + public final Complex times_mutable(int number) { + + re = re * number; + im = im * number; + + return this; + + } + /* * z * Imaginary */ @@ -393,6 +478,28 @@ public final Complex divide_mutable(double number) { } + /* + * z / Real + */ + @Override + public final Complex divide(int number) { + + return new Complex(re / number, im / number); + + } + + /* + * z = z / Real + */ + public final Complex divide_mutable(int number) { + + re = re / number; + im = im / number; + + return this; + + } + /* * z1 / Imaginary */ @@ -631,6 +738,7 @@ public final Complex reciprocal_mutable() { /* * z^2 */ + @Override public final Complex square() { double temp = re * im; @@ -642,6 +750,7 @@ public final Complex square() { /* * z = z^2 */ + @Override public final Complex square_mutable() { double temp = re * im; @@ -656,6 +765,7 @@ public final Complex square_mutable() { /* * z^3 */ + @Override public final Complex cube() { double temp = re * re; @@ -683,6 +793,7 @@ public final Complex cube_mutable() { /* * z^4 */ + @Override public final Complex fourth() { double temp = re * re; @@ -711,6 +822,7 @@ public final Complex fourth_mutable() { /* * z^5 */ + @Override public final Complex fifth() { double temp = re * re; @@ -1015,6 +1127,7 @@ public final double getAbsIm() { /* * abs(z) */ + @Override public final Complex abs() { return new Complex(re >= 0 ? re : -re, im >= 0 ? im : -im); @@ -1076,6 +1189,7 @@ public final Complex absim_mutable() { /* * Real -Imaginary i */ + @Override public final Complex conjugate() { return new Complex(re, -im); @@ -1096,6 +1210,7 @@ public final Complex conjugate_mutable() { /* * -z */ + @Override public final Complex negative() { return new Complex(-re, -im); @@ -1105,6 +1220,7 @@ public final Complex negative() { /* * z = -z */ + @Override public final Complex negative_mutable() { re = -re; @@ -2049,7 +2165,7 @@ public final Complex erf() { Complex sum = new Complex(); for (int k = 0; k < 50; k++) { - double temp = 2 * k + 1; + double temp = 2 * k + 1.0; sum.plus_mutable((this.pow(temp).times_mutable(Math.pow(-1, k))).divide_mutable(new Complex(k, 0).factorial().times_mutable(temp))); } @@ -2065,7 +2181,7 @@ private final Complex riemann_zeta_positive() { Complex sum2 = new Complex(); for (int k = 1; k < 101; k++) { - sum2.plus_mutable((new Complex(-1, 0).pow(k - 1)).times_mutable(new Complex(k, 0).pow(temp2))); + sum2.plus_mutable((new Complex(-1, 0).pow(k - 1.0)).times_mutable(new Complex(k, 0).pow(temp2))); } return sum2.divide_mutable(new Complex(2, 0).pow(temp).r_sub_mutable(1)); @@ -2233,6 +2349,15 @@ public final Complex shear(Complex sh) { } + public final Complex shear_mutable(Complex sh) { + + double tempRe = re + (im * sh.re); + im = im + (re * sh.im); + re = tempRe; + return this; + + } + public final Complex kaleidoscope(Complex center, double phi, double phi2, double radius, int sides) { double angle = Math.toRadians(phi); @@ -2359,11 +2484,6 @@ public final Complex ripples(Complex wavelength, Complex amplitude, int waveType double ny = re / wavelength.im; double fx, fy; switch (waveType) { - case 0: - default: - fx = Math.sin(nx); - fy = Math.sin(ny); - break; case 1: fx = mod(nx, 1); fy = mod(ny, 1); @@ -2376,6 +2496,11 @@ public final Complex ripples(Complex wavelength, Complex amplitude, int waveType fx = Noise.noise1((float) nx); fy = Noise.noise1((float) ny); break; + case 0: + default: + fx = Math.sin(nx); + fy = Math.sin(ny); + break; } return new Complex(re + amplitude.re * fx, im + amplitude.im * fy); @@ -2495,4 +2620,278 @@ public static final Complex AtXpY(Complex A, Complex X, Complex Y) { return new Complex(Ax * zx - Ay * zy + cx, Ax * zy + Ay * zx + cy); } + + @Override + public MantExpComplex toMantExpComplex() { return new MantExpComplex(this);} + + @Override + public Complex toComplex() {return new Complex(this);} + + @Override + public NormComponents normSquaredWithComponents(NormComponents n) { + double reSqr = re * re; + double imSqr = im * im; + return new NormComponents(reSqr, imSqr, reSqr + imSqr); + } + + /* + * z1 - z2 + */ + @Override + public final Complex sub(GenericComplex zn) { + + Complex z = (Complex)zn; + + return new Complex(re - z.re, im - z.im); + + } + + /* + * z1 * z2 + */ + @Override + public final Complex times(GenericComplex zn) { + + Complex z = (Complex)zn; + return new Complex(re * z.re - im * z.im, re * z.im + im * z.re); + + } + + @Override + public Complex times2() { + return new Complex(re * 2, im * 2); + } + + @Override + public Complex times4() { + return new Complex(re * 4, im * 4); + } + + @Override + public Complex times2_mutable() { + re = 2 * re; + im = 2 * im; + return this; + } + + public Complex times4_mutable() { + + re = 4 * re; + im = 4 * im; + return this; + + } + + /* + * z1 + z2 + */ + @Override + public final Complex plus(GenericComplex zn) { + + Complex z = (Complex)zn; + return new Complex(re + z.re, im + z.im); + + } + + /* + * lexicographical comparison between two complex numbers + * -1 when z1 > z2 + * 1 when z1 < z2 + * 0 when z1 == z2 + */ + @Override + public final int compare(GenericComplex z2c) { + + Complex z2 = (Complex)z2c; + + if (re > z2.re) { + return -1; + } else if (re < z2.re) { + return 1; + } else if (im > z2.im) { + return -1; + } else if (im < z2.im) { + return 1; + } else if (re == z2.re && im == z2.im) { + return 0; + } + + return 2; + + } + + /* + * |z|^2 + */ + @Override + public final Double normSquared() { + + return re * re + im * im; + + } + + /* + * |z1 - z2|^2 + */ + @Override + public final Double distanceSquared(GenericComplex za) { + Complex z = (Complex) za; + double temp_re = re - z.re; + double temp_im = im - z.im; + return temp_re * temp_re + temp_im * temp_im; + + } + + /* + * z^2 + c + */ + @Override + public final Complex squareFast_plus_c(NormComponents normComponents, GenericComplex ca) { + double reSqr = (double) normComponents.reSqr; + double imSqr = (double) normComponents.imSqr; + double normSquared = (double) normComponents.normSquared; + Complex c = (Complex) ca; + double temp = re + im; + return new Complex(reSqr - imSqr + c.re, temp * temp - normSquared + c.im); + } + + /* + * z^2 + c + */ + @Override + public final Complex squareFast(NormComponents normComponents) { + double reSqr = (double) normComponents.reSqr; + double imSqr = (double) normComponents.imSqr; + double normSquared = (double) normComponents.normSquared; + double temp = re + im; + return new Complex(reSqr - imSqr, temp * temp - normSquared); + } + + /* + * z^3 + */ + @Override + public final Complex cubeFast(NormComponents normComponents) { + + double temp = (double) normComponents.reSqr; + double temp2 = (double) normComponents.imSqr; + + return new Complex(re * (temp - 3 * temp2), im * (3 * temp - temp2)); + } + + /* + * z^4 + */ + @Override + public final Complex fourthFast(NormComponents normComponents) { + + double temp = (double) normComponents.reSqr; + double temp2 = (double) normComponents.imSqr; + + return new Complex(temp * (temp - 6 * temp2) + temp2 * temp2, 4 * re * im * (temp - temp2)); + } + + /* + * z^5 + */ + @Override + public final Complex fifthFast(NormComponents normComponents) { + + double temp = (double) normComponents.reSqr; + double temp2 = (double) normComponents.imSqr; + + return new Complex(re * (temp * temp + temp2 * (5 * temp2 - 10 * temp)), im * (temp2 * temp2 + temp * (5 * temp - 10 * temp2))); + } + + /* more efficient z^2 + c */ + @Override + public final Complex square_plus_c(GenericComplex cn) { + + Complex c = (Complex)cn; + double temp = re * im; + + return new Complex((re + im) * (re - im) + c.re, temp + temp + c.im); + } + + /* + * z1 / z2 + */ + @Override + public final Complex divide(GenericComplex za) { + Complex z = (Complex) za; + + double temp = z.re; + double temp2 = z.im; + double temp3 = temp * temp + temp2 * temp2; + + return new Complex((re * temp + im * temp2) / temp3, (im * temp - re * temp2) / temp3); + + } + + /* + * z1 = z1 * z2 + */ + @Override + public final Complex times_mutable(GenericComplex za) { + Complex z = (Complex) za; + + double temp = z.re; + double temp2 = z.im; + + double temp3 = re * temp - im * temp2; + im = re * temp2 + im * temp; + re = temp3; + + return this; + + } + + /* + * z1 = z1 + z2 + */ + @Override + public final Complex plus_mutable(GenericComplex za) { + Complex z = (Complex) za; + + + re = re + z.re; + im = im + z.im; + + return this; + + } + + /* + * z1 = z1 / z2 + */ + public final Complex divide_mutable(GenericComplex za) { + Complex z = (Complex) za; + + double temp = z.re; + double temp2 = z.im; + double temp3 = temp * temp + temp2 * temp2; + + double temp4 = (re * temp + im * temp2) / temp3; + im = (im * temp - re * temp2) / temp3; + re = temp4; + + return this; + + } + + /* + * z1 = z1 - z2 + */ + public final Complex sub_mutable(GenericComplex za) { + Complex z = (Complex) za; + + re = re - z.re; + im = im - z.im; + + return this; + + } + + @Override + public DDComplex toDDComplex() { return new DDComplex(this); } } diff --git a/src/fractalzoomer/core/DDComplex.java b/src/fractalzoomer/core/DDComplex.java new file mode 100644 index 000000000..8864ee035 --- /dev/null +++ b/src/fractalzoomer/core/DDComplex.java @@ -0,0 +1,1531 @@ +package fractalzoomer.core; + +import fractalzoomer.utils.NormComponents; +import org.apfloat.Apfloat; + +public class DDComplex extends GenericComplex { + + private DoubleDouble re; + private DoubleDouble im; + + public DDComplex(BigComplex c) { + re = new DoubleDouble(c.getRe()); + im = new DoubleDouble(c.getIm()); + } + + public DDComplex(double re, double im) { + this.re = new DoubleDouble(re); + this.im = new DoubleDouble(im); + } + + public DDComplex(DDComplex c) { + re = new DoubleDouble(c.getRe()); + im = new DoubleDouble(c.getIm()); + } + + public DDComplex(Complex c) { + re = new DoubleDouble(c.getRe()); + im = new DoubleDouble(c.getIm()); + } + + public DDComplex(DoubleDouble re, DoubleDouble im) { + this.re = re; + this.im = im; + } + + public DDComplex(Apfloat re, Apfloat im) { + this.re = new DoubleDouble(re); + this.im = new DoubleDouble(im); + } + + public DDComplex() { + + re = new DoubleDouble(); + im = new DoubleDouble(); + + } + + public final DoubleDouble getRe() { + + return re; + + } + + public final DoubleDouble getIm() { + + return im; + + } + + public final void setRe(DoubleDouble re) { + + this.re = re; + + } + + public final void setIm(DoubleDouble im) { + + this.im = im; + + } + + @Override + public final Complex toComplex() { + return new Complex(re.doubleValue(), im.doubleValue()); + } + + /* + * z1 + z2 + */ + public final DDComplex plus(DDComplex z) { + + return new DDComplex(re.add(z.re), im.add(z.im)); + + } + + /* + * z + Real + */ + public final DDComplex plus(DoubleDouble number) { + + return new DDComplex(re.add(number), im); + + } + + @Override + public final DDComplex plus(int number) { + + return new DDComplex(re.add(new DoubleDouble(number)), im); + + } + + public final DDComplex plus(double number) { + + return new DDComplex(re.add(new DoubleDouble(number)), im); + + } + + /* + * z + Imaginary + */ + public final DDComplex plus_i(DoubleDouble number) { + + return new DDComplex(re, im.add(number)); + + } + + public final DDComplex plus_i(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re, im.add(num)); + + } + + public final DDComplex plus_i(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re, im.add(num)); + + } + + /* + * z1 - z2 + */ + public final DDComplex sub(DDComplex z) { + + return new DDComplex(re.subtract(z.re), im.subtract(z.im)); + + } + + /* + * z - Real + */ + public final DDComplex sub(DoubleDouble number) { + + return new DDComplex(re.subtract(number), im); + + } + + @Override + public final DDComplex sub(int number) { + + return new DDComplex(re.subtract(new DoubleDouble(number)), im); + + } + + public final DDComplex sub(double number) { + + return new DDComplex(re.subtract(new DoubleDouble(number)), im); + + } + + /* + * z - Imaginary + */ + public final DDComplex sub_i(DoubleDouble number) { + + return new DDComplex(re, im.subtract(number)); + + } + + public final DDComplex sub_i(int number) { + + return new DDComplex(re, im.subtract(new DoubleDouble(number))); + + } + + public final DDComplex sub_i(double number) { + + return new DDComplex(re, im.subtract(new DoubleDouble(number))); + + } + + + /* + * Real - z1 + */ + public final DDComplex r_sub(DoubleDouble number) { + + return new DDComplex(number.subtract(re), im.negate()); + + } + + public final DDComplex r_sub(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(num.subtract(re), im.negate()); + + } + + public final DDComplex r_sub(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(num.subtract(re), im.negate()); + + } + + /* + * Imaginary - z + */ + public final DDComplex i_sub(DoubleDouble number) { + + return new DDComplex(re.negate(), number.subtract(im)); + + } + + public final DDComplex i_sub(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.negate(), num.subtract(im)); + + } + + public final DDComplex i_sub(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.negate(), num.subtract(im)); + + } + + /* + * z1 * z2 + */ + public final DDComplex times(DDComplex z) { + + return new DDComplex(re.multiply(z.re).subtract(im.multiply(z.im)), re.multiply(z.im).add(im.multiply(z.re))); + + } + + /* + * z1 * Real + */ + public final DDComplex times(DoubleDouble number) { + + return new DDComplex(re.multiply(number), im.multiply(number)); + + } + + /* + * z1 * Real + */ + @Override + public final DDComplex times(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.multiply(num), im.multiply(num)); + + } + + public final DDComplex times(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.multiply(num), im.multiply(num)); + + } + + /* + * z * Imaginary + */ + public final DDComplex times_i(DoubleDouble number) { + + return new DDComplex(im.negate().multiply(number), re.multiply(number)); + + } + + public final DDComplex times_i(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(im.negate().multiply(num), re.multiply(num)); + + } + + public final DDComplex times_i(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(im.negate().multiply(num), re.multiply(num)); + + } + + /* + * z^2 + */ + @Override + public final DDComplex square() { + DoubleDouble temp = re.multiply(im); + return new DDComplex(re.add(im).multiply(re.subtract(im)), temp.add(temp)); + } + + /* + * z^2 + c + */ + @Override + public final DDComplex squareFast_plus_c(NormComponents normComponents, GenericComplex ca) { + DoubleDouble reSqr = (DoubleDouble) normComponents.reSqr; + DoubleDouble imSqr = (DoubleDouble) normComponents.imSqr; + DoubleDouble normSquared = (DoubleDouble) normComponents.normSquared; + DDComplex c = (DDComplex) ca; + return new DDComplex(reSqr.subtract(imSqr).add(c.re), re.add(im).sqr().subtract(normSquared).add(c.im)); + } + + /* + * z^2 + */ + @Override + public final DDComplex squareFast(NormComponents normComponents) { + DoubleDouble reSqr = (DoubleDouble) normComponents.reSqr; + DoubleDouble imSqr = (DoubleDouble) normComponents.imSqr; + DoubleDouble normSquared = (DoubleDouble) normComponents.normSquared; + return new DDComplex(reSqr.subtract(imSqr), re.add(im).sqr().subtract(normSquared)); + } + + /* + * z^3 + */ + @Override + public final DDComplex cubeFast(NormComponents normComponents) { + + DoubleDouble temp = (DoubleDouble)normComponents.reSqr; + DoubleDouble temp2 = (DoubleDouble)normComponents.imSqr; + + DoubleDouble three = new DoubleDouble(3); + return new DDComplex(re.multiply(temp.subtract(temp2.multiply(three))), im.multiply(temp.multiply(three).subtract(temp2))); + + } + + /* + * z^4 + */ + @Override + public final DDComplex fourthFast(NormComponents normComponents) { + + DoubleDouble temp = (DoubleDouble)normComponents.reSqr; + DoubleDouble temp2 = (DoubleDouble)normComponents.imSqr; + + DoubleDouble six = new DoubleDouble(6); + DoubleDouble four = new DoubleDouble(4); + + return new DDComplex(temp.multiply(temp.subtract(temp2.multiply(six))).add(temp2.sqr()), re.multiply(im).multiply(four).multiply(temp.subtract(temp2))); + + } + + /* + * z^5 + */ + @Override + public final DDComplex fifthFast(NormComponents normComponents) { + + DoubleDouble temp = (DoubleDouble)normComponents.reSqr; + DoubleDouble temp2 = (DoubleDouble)normComponents.imSqr; + + DoubleDouble five = new DoubleDouble(5); + DoubleDouble ten = new DoubleDouble(10); + + return new DDComplex(re.multiply(temp.sqr().add(temp2.multiply(temp2.multiply(five).subtract(temp.multiply(ten))))), im.multiply(temp2.sqr().add(temp.multiply(temp.multiply(five).subtract(temp2.multiply(ten)))))); + + } + + @Override + public NormComponents normSquaredWithComponents(NormComponents n) { + DoubleDouble reSqr = re.sqr(); + DoubleDouble imSqr = im.sqr(); + return new NormComponents(reSqr, imSqr, reSqr.add(imSqr)); + } + + /* + * |z|^2 + */ + public final DoubleDouble norm_squared() { + + return re.sqr().add(im.sqr()); + //return re.mult(re).add(im.mult(im)); + + } + + + /* + * |z|, euclidean norm + */ + public final DoubleDouble norm() { + + return re.sqr().add(im.sqr()).sqrt(); + + } + + /* + * |z1 - z2|^2 + */ + public final DoubleDouble distance_squared(DDComplex z) { + + DoubleDouble temp_re = re.subtract(z.re); + DoubleDouble temp_im = im.subtract(z.im); + return temp_re.sqr().add(temp_im.sqr()); + + } + + /* + * |z1 - z2| + */ + public final DoubleDouble distance(DDComplex z) { + + DoubleDouble temp_re = re.subtract(z.re); + DoubleDouble temp_im = im.subtract(z.im); + return temp_re.sqr().add(temp_im.sqr()).sqrt(); + + } + + /* + * n-norm + */ + public final DoubleDouble nnorm(DoubleDouble n) { + return re.abs().pow(n).add(im.abs().pow(n)).pow(n.reciprocal()); + } + + /* + * |z1 - z2|^2 + */ + public final DoubleDouble distance_squared(DoubleDouble rootRe) { + + DoubleDouble temp_re = re.subtract(rootRe); + return temp_re.sqr().add(im.sqr()); + + } + + /* + * |z1 - z2| + */ + public final DoubleDouble distance(DoubleDouble rootRe) { + + DoubleDouble temp_re = re.subtract(rootRe); + return temp_re.sqr().add(im.sqr()).sqrt(); + + } + + /* + * |Real| + */ + public final DoubleDouble getAbsRe() { + + return re.abs(); + + } + + /* + * |Imaginary| + */ + public final DoubleDouble getAbsIm() { + + return im.abs(); + + } + + /* + * |Re(z)| + Im(z)i + */ + public final DDComplex absre() { + + return new DDComplex(re.abs(), im); + + } + + /* + * Re(z) + |Im(z)|i + */ + public final DDComplex absim() { + + return new DDComplex(re, im.abs()); + + } + + /* + * Real -Imaginary i + */ + @Override + public final DDComplex conjugate() { + + return new DDComplex(re, im.negate()); + + } + + /* + * -z + */ + @Override + public final DDComplex negative() { + + return new DDComplex(re.negate(), im.negate()); + + } + + /* + * z^3 + */ + @Override + public final DDComplex cube() { + + DoubleDouble temp = re.sqr(); + DoubleDouble temp2 = im.sqr(); + + DoubleDouble three = new DoubleDouble(3); + + return new DDComplex(re.multiply(temp.subtract(temp2.multiply(three))), im.multiply(temp.multiply(three).subtract(temp2))); + + } + + /* + * z^4 + */ + @Override + public final DDComplex fourth() { + + DoubleDouble temp = re.sqr(); + DoubleDouble temp2 = im.sqr(); + + DoubleDouble six = new DoubleDouble(6); + DoubleDouble four = new DoubleDouble(4); + + return new DDComplex(temp.multiply(temp.subtract(temp2.multiply(six))).add(temp2.sqr()), re.multiply(im).multiply(four).multiply(temp.subtract(temp2))); + + } + + /* + * z^5 + */ + @Override + public final DDComplex fifth() { + + DoubleDouble temp = re.sqr(); + DoubleDouble temp2 = im.sqr(); + + DoubleDouble five = new DoubleDouble(5); + DoubleDouble ten = new DoubleDouble(10); + + return new DDComplex(re.multiply(temp.sqr().add(temp2.multiply(temp2.multiply(five).subtract(temp.multiply(ten))))), im.multiply(temp2.sqr().add(temp.multiply(temp.multiply(five).subtract(temp2.multiply(ten)))))); + + } + + + /* + * abs(z) + */ + @Override + public final DDComplex abs() { + + return new DDComplex(re.abs(), im.abs()); + + } + + /* more efficient z^2 + c */ + public final DDComplex square_plus_c(DDComplex c) { + + DoubleDouble temp = re.multiply(im); + + return new DDComplex(re.add(im).multiply(re.subtract(im)).add(c.re), temp.add(temp).add(c.im)); + + } + + @Override + public final String toString() { + + String temp = ""; + + if(im.isPositive()) { + temp = re.doubleValue() + "+" + im.doubleValue() + "i"; + } + else if (im.isZero()) { + temp = re.doubleValue() + "+" + (0.0) + "i"; + } else { + temp = re.doubleValue() + "" + im.doubleValue() + "i"; + } + + return temp; + + } + + /* + * lexicographical comparison between two complex numbers + * -1 when z1 > z2 + * 1 when z1 < z2 + * 0 when z1 == z2 + */ + public final int compare(DDComplex z2) { + + int comparisonRe = re.compareTo(z2.re); + int comparisonIm = im.compareTo(z2.im); + + if (comparisonRe > 0) { + return -1; + } else if (comparisonRe < 0) { + return 1; + } else if (comparisonIm > 0) { + return -1; + } else if (comparisonIm < 0) { + return 1; + } else if (comparisonRe == 0 && comparisonIm == 0) { + return 0; + } + + return 2; + } + + /* + * 1 / z + */ + public final DDComplex reciprocal() { + + DoubleDouble temp = re.sqr().add(im.sqr()); + + return new DDComplex(re.divide(temp), im.negate().divide(temp)); + + } + + public final DDComplex toBiPolar(DDComplex a) { + + return this.times(0.5).cot().times(a).times_i(1); + + } + + public final DDComplex fromBiPolar(DDComplex a) { + + return this.divide(a.times_i(1)).acot().times(2); + + } + + /* + * cot(z) = i(1 + exp(-2zi)) / (1 - exp(-2zi)) + */ + public final DDComplex cot() { + + DoubleDouble temp = im.multiply(2).exp(); + + DoubleDouble temp3 = re.multiply(2); + + DoubleDouble cos_re = temp3.cos(); + DoubleDouble sin_re = temp3.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_re), temp.multiply(sin_re.negate())); + + return (temp2.times_i(1).plus_i(1)).divide(temp2.r_sub(1)); + + } + + /* + * acot(z) = (i / 2)log((z^2 - iz) / (z^2 + iz)) + */ + public final DDComplex acot() { + + DDComplex temp = this.times_i(1); + DDComplex temp2 = this.square(); + + return ((temp2.sub(temp)).divide(temp2.plus(temp))).log().times_i(0.5); + + } + + /* + * cos(z) = (exp(iz) + exp(-iz)) / 2 + */ + public final DDComplex cos() { + + DoubleDouble temp = im.negate().exp();; + + DoubleDouble cos_re = re.cos(); + DoubleDouble sin_re = re.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_re), temp.multiply(sin_re)); + + DoubleDouble temp3 = temp.reciprocal(); + DDComplex temp4 = new DDComplex(temp3.multiply(cos_re), temp3.multiply(sin_re.negate())); + + return (temp2.plus(temp4)).times(0.5); + + } + + /* + * cosh(z) = (exp(z) + exp(-z)) / 2 + */ + public final DDComplex cosh() { + + DoubleDouble temp = re.exp(); + + DoubleDouble cos_im = im.cos(); + DoubleDouble sin_im = im.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_im), temp.multiply(sin_im)); + + DoubleDouble temp3 = temp.reciprocal(); + DDComplex temp4 = new DDComplex(temp3.multiply(cos_im), temp3.multiply(sin_im.negate())); + + return (temp2.plus(temp4)).times(0.5); + + } + + /* + * acos(z) = pi / 2 + ilog(iz + sqrt(1 - z^2)) + */ + public final DDComplex acos() { + + return this.asin().r_sub(DoubleDouble.PI_2); + + } + + /* + * acosh(z) = log(z + sqrt(z^2 - 1)) + */ + public final DDComplex acosh() { + + return this.plus((this.square().sub(1)).sqrt()).log(); + + } + + /* + * sin(z) = (exp(iz) - exp(-iz)) / 2i + */ + public final DDComplex sin() { + + DoubleDouble temp = im.negate().exp(); + + DoubleDouble cos_re = re.cos(); + DoubleDouble sin_re = re.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_re), temp.multiply(sin_re)); + + DoubleDouble temp3 = temp.reciprocal(); + DDComplex temp4 = new DDComplex(temp3.multiply(cos_re), temp3.multiply(sin_re.negate())); + + return (temp2.sub(temp4)).times_i(-0.5); + + } + + /* + * sinh(z) = (exp(z) - exp(-z)) / 2 + */ + public final DDComplex sinh() { + + DoubleDouble temp = re.exp(); + + DoubleDouble cos_im = im.cos(); + DoubleDouble sin_im = im.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_im), temp.multiply(sin_im)); + + DoubleDouble temp3 = temp.reciprocal(); + DDComplex temp4 = new DDComplex(temp3.multiply(cos_im), temp3.multiply(sin_im.negate())); + + return (temp2.sub(temp4)).times(0.5); + + } + + /* + * asin(z) =-ilog(iz + sqrt(1 - z^2)) + */ + public final DDComplex asin() { + + return this.times_i(1).plus((this.square().r_sub(1)).sqrt()).log().times_i(-1); + + } + + /* + * asinh(z) = log(z + sqrt(z^2 + 1)) + */ + public final DDComplex asinh() { + + return this.plus((this.square().plus(1)).sqrt()).log(); + + } + + /* + * tan(z) = (1 - exp(-2zi)) / i(1 + exp(-2zi)) + */ + public final DDComplex tan() { + + DoubleDouble temp = im.multiply(2).exp();; + + DoubleDouble temp3 = re.multiply(2); + + DoubleDouble cos_re = temp3.cos(); + DoubleDouble sin_re = temp3.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_re), temp.multiply(sin_re.negate())); + + return (temp2.r_sub(1)).divide((temp2.plus(1)).times_i(1)); + + } + + /* + * tahn(z) = (1 - exp(-2z)) / (1 + exp(-2z)) + */ + public final DDComplex tanh() { + + DoubleDouble temp = re.multiply(-2).exp(); + + DoubleDouble temp3 = im.multiply(2); + + DoubleDouble cos_im = temp3.cos(); + DoubleDouble sin_im = temp3.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_im), temp.multiply(sin_im.negate())); + + return (temp2.r_sub(1)).divide(temp2.plus(1)); + + } + + /* + * atan(z) = (i / 2)log((1 - iz) / (iz + 1)) + */ + public final DDComplex atan() { + + DDComplex temp = this.times_i(1); + + return ((temp.r_sub(1)).divide(temp.plus(1))).log().times_i(0.5); + + } + + /* + * atanh(z) = (1 / 2)log((z + 1) / (1 - z)) + */ + public final DDComplex atanh() { + + return ((this.plus(1)).divide(this.r_sub(1))).log().times(0.5); + + } + + /* + * coth(z) = (1 + exp(-2z)) / (1 - exp(-2z)) + */ + public final DDComplex coth() { + + DoubleDouble temp = re.multiply(-2).exp(); + + DoubleDouble temp3 = im.multiply(2); + + DoubleDouble cos_im = temp3.cos(); + DoubleDouble sin_im = temp3.sin(); + + DDComplex temp2 = new DDComplex(temp.multiply(cos_im), temp.multiply(sin_im.negate())); + + return (temp2.plus(1)).divide(temp2.r_sub(1)); + + } + + /* + * acoth(z) = (1 / 2)log((1 + 1/z) / (1 - 1/z)) + */ + public final DDComplex acoth() { + + DDComplex temp = this.reciprocal(); + + return ((temp.plus(1)).divide(temp.r_sub(1))).log().times(0.5); + + } + + + /* + * sec(z) = 1 / cos(z) + */ + public final DDComplex sec() { + + return this.cos().reciprocal(); + + } + + /* + * asec(z) = pi / 2 + ilog(sqrt(1 - 1 / z^2) + i / z) + */ + public final DDComplex asec() { + + return (((this.square().reciprocal()).r_sub(1).sqrt()).plus(this.i_divide(1))).log().times_i(1).plus(DoubleDouble.PI_2); + + } + + /* + * sech(z) = 1 / cosh(z) + */ + public final DDComplex sech() { + + return this.cosh().reciprocal(); + + } + + /* + * asech(z) = log(sqrt(1 / z^2 - 1) + 1 / z) + */ + public final DDComplex asech() { + + return (((this.square().reciprocal()).sub(1).sqrt()).plus(this.reciprocal())).log(); + + } + + /* + * csc(z) = 1 / sin(z) + */ + public final DDComplex csc() { + + return this.sin().reciprocal(); + + } + + /* + * acsc(z) = -ilog(sqrt(1 - 1 / z^2) + i / z) + */ + public final DDComplex acsc() { + + return (((this.square().reciprocal()).r_sub(1).sqrt()).plus(this.i_divide(1))).log().times_i(-1); + + } + + /* + * csch(z) = 1 / sinh(z) + */ + public final DDComplex csch() { + + return this.sinh().reciprocal(); + + } + + /* + * acsch(z) = log(sqrt(1 / z^2 + 1) + 1 / z) + */ + public final DDComplex acsch() { + + return (((this.square().reciprocal()).plus(1).sqrt()).plus(this.reciprocal())).log(); + + } + + /* + * versine(z) = 1 - cos(z) + */ + public final DDComplex vsin() { + + return this.cos().r_sub(1); + + } + + /* + * arc versine(z) = acos(1 - z) + */ + public final DDComplex avsin() { + + return this.r_sub(1).acos(); + + } + + /* + * vercosine(z) = 1 + cos(z) + */ + public final DDComplex vcos() { + + return this.cos().plus(1); + + } + + /* + * arc vercosine(z) = acos(1 + z) + */ + public final DDComplex avcos() { + + return this.plus(1).acos(); + + } + + /* + * coversine(z) = 1 - sin(z) + */ + public final DDComplex cvsin() { + + return this.sin().r_sub(1); + + } + + /* + * arc coversine(z) = asin(1 - z) + */ + public final DDComplex acvsin() { + + return this.r_sub(1).asin(); + + } + + /* + * covercosine(z) = 1 + sin(z) + */ + public final DDComplex cvcos() { + + return this.sin().plus(1); + + } + + /* + * arc covercosine(z) = asin(1 + z) + */ + public final DDComplex acvcos() { + + return this.plus(1).asin(); + + } + + /* + * haversine(z) = versine(z) / 2 + */ + public final DDComplex hvsin() { + + return this.vsin().times(0.5); + + } + + /* + * arc haversine(z) = 2 * asin(sqrt(z)) + */ + public final DDComplex ahvsin() { + + return this.sqrt().asin().times(2); + + } + + /* + * havercosine(z) = vercosine(z) / 2 + */ + public final DDComplex hvcos() { + + return this.vcos().times(0.5); + + } + + /* + * arc havercosine(z) = 2 * acos(sqrt(z)) + */ + public final DDComplex ahvcos() { + + return this.sqrt().acos().times(2); + + } + + /* + * hacoversine(z) = coversine(z) / 2 + */ + public final DDComplex hcvsin() { + + return this.cvsin().times(0.5); + + } + + /* + * arc hacoversine(z) = asin(1 - 2*z) + */ + public final DDComplex ahcvsin() { + + return this.times(2).r_sub(1).asin(); + + } + + /* + * hacovercosine(z) = covercosine(z) / 2 + */ + public final DDComplex hcvcos() { + + return this.cvcos().times(0.5); + + } + + /* + * arc hacovercosine(z) = asin(-1 - 2*z) + */ + public final DDComplex ahcvcos() { + + return this.times(-2).r_sub(1).asin(); + + } + + /* + * exsecant(z) = sec(z) - 1 + */ + public final DDComplex exsec() { + + return this.sec().sub(1); + + } + + /* + * arc exsecant(z) = asec(z + 1) + */ + public final DDComplex aexsec() { + + return this.plus(1).asec(); + + } + + /* + * excosecant(z) = csc(z) - 1 + */ + public final DDComplex excsc() { + + return this.csc().sub(1); + + } + + /* + * arc excosecant(z) = acsc(z + 1) + */ + public final DDComplex aexcsc() { + + return this.plus(1).acsc(); + + } + + public final DDComplex fold_out(DDComplex z2) { + + DoubleDouble norm_sqr = re.sqr().add(im.sqr()); + + return norm_sqr.compareTo(z2.norm_squared()) > 0 ? this.divide(norm_sqr) : this; + + } + + public final DDComplex fold_in(DDComplex z2) { + + DoubleDouble norm_sqr = re.sqr().add(im.sqr()); + + return norm_sqr.compareTo(z2.norm_squared()) < 0 ? this.divide(norm_sqr) : this; + + } + + public final DDComplex fold_right(DDComplex z2) { + + return re.compareTo(z2.re) < 0 ? new DDComplex(re.add(z2.re.subtract(re).multiply(new DoubleDouble(2))), im) : this; + + } + + public final DDComplex fold_left(DDComplex z2) { + + return re.compareTo(z2.re) > 0 ? new DDComplex(re.subtract(re.subtract(z2.re).multiply(new DoubleDouble(2))), im) : this; + + } + + public final DDComplex fold_up(DDComplex z2) { + + return im.compareTo(z2.im) < 0 ? new DDComplex(re, im.add(z2.im.subtract(im).multiply(new DoubleDouble(2)))) : this; + + } + + public final DDComplex fold_down(DDComplex z2) { + + return im.compareTo(z2.im) > 0 ? new DDComplex(re, im.subtract(im.subtract(z2.im).multiply(new DoubleDouble(2)))) : this; + + } + + public final DDComplex inflection(DDComplex inf) { + + DDComplex diff = this.sub(inf); + + return inf.plus(diff.square()); + + } + + public final DDComplex shear(DDComplex sh) { + + return new DDComplex(re.add(im.multiply(sh.re)), im.add(re.multiply(sh.im))); + + } + + /* + * y + xi + */ + public final DDComplex flip() { + + return new DDComplex(im, re); + + } + + /* + * z1 / z2 + */ + public final DDComplex divide(DDComplex z) { + + DoubleDouble temp = z.re; + DoubleDouble temp2 = z.im; + DoubleDouble temp3 = temp.sqr().add(temp2.sqr()); + + return new DDComplex(re.multiply(temp).add(im.multiply(temp2)).divide(temp3), im.multiply(temp).subtract(re.multiply(temp2)).divide(temp3)); + } + + /* + * z / Real + */ + public final DDComplex divide(DoubleDouble number) { + + return new DDComplex(re.divide(number), im.divide(number)); + + } + + public final DDComplex divide(int number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.divide(num), im.divide(num)); + + } + + public final DDComplex divide(double number) { + + DoubleDouble num = new DoubleDouble(number); + return new DDComplex(re.divide(num), im.divide(num)); + + } + + /* + * z1 / Imaginary + */ + public final DDComplex divide_i(DoubleDouble number) { + + DoubleDouble temp3 = number.sqr(); + return new DDComplex(re.add(im.multiply(number)).divide(temp3), im.subtract(re.multiply(number)).divide(temp3)); + + } + + public final DDComplex divide_i(int number) { + + DoubleDouble num = new DoubleDouble(number); + DoubleDouble temp3 = num.sqr(); + return new DDComplex(re.add(im.multiply(number)).divide(temp3), im.subtract(re.multiply(number)).divide(temp3)); + + } + + public final DDComplex divide_i(double number) { + + DoubleDouble num = new DoubleDouble(number); + DoubleDouble temp3 = num.sqr(); + return new DDComplex(re.add(im.multiply(number)).divide(temp3), im.subtract(re.multiply(number)).divide(temp3)); + + } + + /* + * Real / z + */ + public final DDComplex r_divide(DoubleDouble number) { + + DoubleDouble temp = number.divide(re.sqr().add(im.sqr())); + + return new DDComplex(re.multiply(temp), im.negate().multiply(temp)); + + } + + public final DDComplex r_divide(double number) { + + DoubleDouble num = new DoubleDouble(number); + DoubleDouble temp = num.divide(re.sqr().add(im.sqr())); + + return new DDComplex(re.multiply(temp), im.negate().multiply(temp)); + + } + + public final DDComplex r_divide(int number) { + + DoubleDouble num = new DoubleDouble(number); + DoubleDouble temp = num.divide(re.sqr().add(im.sqr())); + + return new DDComplex(re.multiply(temp), im.negate().multiply(temp)); + + } + + /* + * Imaginary / z + */ + public final DDComplex i_divide(DoubleDouble number) { + + DoubleDouble temp = number.divide(re.sqr().add(im.sqr())); + + return new DDComplex(im.multiply(temp), re.multiply(temp)); + + } + + public final DDComplex i_divide(double number) { + + DoubleDouble num = new DoubleDouble(number); + + DoubleDouble temp = num.divide(re.sqr().add(im.sqr())); + + return new DDComplex(im.multiply(temp), re.multiply(temp)); + + } + + public final DDComplex i_divide(int number) { + + DoubleDouble num = new DoubleDouble(number); + + DoubleDouble temp = num.divide(re.sqr().add(im.sqr())); + + return new DDComplex(im.multiply(temp), re.multiply(temp)); + + } + + /* + * exp(z) = exp(Re(z)) * (cos(Im(z)) + sin(Im(z))i) + */ + public final DDComplex exp() { + + DoubleDouble temp = re.exp(); + + return new DDComplex(temp.multiply(im.cos()), temp.multiply(im.sin())); + + } + + /* + * log(z) = ln|z| + arctan(Im/Re)i + */ + //atan2 infinite loop + public final DDComplex log() { + + return new DDComplex(re.sqr().add(im.sqr()).log().multiply(0.5), im.atan2(re)); + + } + + /* + * z1 ^ z2 = exp(z2 * log(z1)) + */ + public final DDComplex pow(DDComplex z) { + + return (z.times(this.log())).exp(); + + } + + /* + * z^n + */ + public final DDComplex pow(double exponent) { + + DoubleDouble temp = re.sqr().add(im.sqr()).pow(exponent * 0.5); + DoubleDouble temp2 = im.atan2(re).multiply(exponent); + + return new DDComplex(temp.multiply(temp2.cos()), temp.multiply(temp2.sin())); + + } + + /* + * sqrt(z) = z^0.5 + */ + public final DDComplex sqrt() { + + DoubleDouble temp = re.sqr().add(im.sqr()).pow(0.25); + DoubleDouble temp2 = im.atan2(re).multiply(0.5); + + return new DDComplex(temp.multiply(temp2.cos()), temp.multiply(temp2.sin())); + + } + + public final DDComplex circle_inversion(DDComplex center, DoubleDouble radius) { + + DoubleDouble distance = this.distance_squared(center); + DoubleDouble radius2 = radius.sqr(); + + DoubleDouble temp = radius2.divide(distance); + + return new DDComplex(center.re.add(re.subtract(center.re).multiply(temp)), center.im.add(im.subtract(center.im).multiply(temp))); + + } + + + /* + * z1 - z2 + */ + @Override + public final DDComplex sub(GenericComplex zn) { + DDComplex z = (DDComplex)zn; + + return new DDComplex(re.subtract(z.re), im.subtract(z.im)); + + } + + /* + * z1 + z2 + */ + @Override + public final DDComplex plus(GenericComplex zn) { + + DDComplex z = (DDComplex)zn; + return new DDComplex(re.add(z.re), im.add(z.im)); + + } + + /* more efficient z^2 + c */ + @Override + public final DDComplex square_plus_c(GenericComplex cn) { + + DDComplex c = (DDComplex)cn; + + DoubleDouble temp = re.multiply(im); + + return new DDComplex(re.add(im).multiply(re.subtract(im)).add(c.re), temp.add(temp).add(c.im)); + + } + + /* + * z1 * z2 + */ + @Override + public final DDComplex times(GenericComplex zn) { + + DDComplex z = (DDComplex)zn; + return new DDComplex(re.multiply(z.re).subtract(im.multiply(z.im)), re.multiply(z.im).add(im.multiply(z.re))); + + } + + /* + * lexicographical comparison between two complex numbers + * -1 when z1 > z2 + * 1 when z1 < z2 + * 0 when z1 == z2 + */ + @Override + public final int compare(GenericComplex z2c) { + + DDComplex z2 = (DDComplex)z2c; + + int comparisonRe = re.compareTo(z2.re); + int comparisonIm = im.compareTo(z2.im); + + if (comparisonRe > 0) { + return -1; + } else if (comparisonRe < 0) { + return 1; + } else if (comparisonIm > 0) { + return -1; + } else if (comparisonIm < 0) { + return 1; + } else if (comparisonRe == 0 && comparisonIm == 0) { + return 0; + } + + return 2; + } + + /* + * |z|^2 + */ + @Override + public final DoubleDouble normSquared() { + + return re.sqr().add(im.sqr()); + //return re.mult(re).add(im.mult(im)); + + } + + /* + * |z1 - z2|^2 + */ + @Override + public final DoubleDouble distanceSquared(GenericComplex za) { + DDComplex z = (DDComplex) za; + + DoubleDouble temp_re = re.subtract(z.re); + DoubleDouble temp_im = im.subtract(z.im); + return temp_re.sqr().add(temp_im.sqr()); + + } + + @Override + public DDComplex times2() { + return new DDComplex(re.add(re), im.add(im)); + } + + @Override + public DDComplex times4() { + DoubleDouble four = new DoubleDouble(4); + return new DDComplex(re.multiply(four), im.multiply(four)); + } + + @Override + public MantExpComplex toMantExpComplex() { return new MantExpComplex(this.toComplex());} + + @Override + public void set(GenericComplex za) { + DDComplex z = (DDComplex) za; + re = z.re; + im = z.im; + } + + public boolean isZero() { + return re.isZero() && im.isZero(); + } + + @Override + public DDComplex toDDComplex() { return this; } + + @Override + public final DDComplex divide(GenericComplex za) { + + DDComplex z = (DDComplex)za; + DoubleDouble temp = z.re; + DoubleDouble temp2 = z.im; + DoubleDouble temp3 = temp.sqr().add(temp2.sqr()); + + return new DDComplex(re.multiply(temp).add(im.multiply(temp2)).divide(temp3), im.multiply(temp).subtract(re.multiply(temp2)).divide(temp3)); + } + + @Override + public GenericComplex sub_mutable(int a) { + return sub(a); + } + + @Override + public GenericComplex plus_mutable(int a) {return plus(a);} + + @Override + public GenericComplex negative_mutable() {return negative();} + + @Override + public GenericComplex sub_mutable(GenericComplex v) { return sub(v); } + + @Override + public GenericComplex plus_mutable(GenericComplex v) { return plus(v); } + + @Override + public GenericComplex times_mutable(GenericComplex a) {return times(a);} + + @Override + public GenericComplex times2_mutable() {return times2();} + + @Override + public GenericComplex divide_mutable(GenericComplex a) {return divide(a);} + + @Override + public GenericComplex times_mutable(int a) {return times(a);} + + @Override + public GenericComplex square_mutable() {return square();} +} diff --git a/src/fractalzoomer/core/unused/DoubleDouble.java b/src/fractalzoomer/core/DoubleDouble.java similarity index 97% rename from src/fractalzoomer/core/unused/DoubleDouble.java rename to src/fractalzoomer/core/DoubleDouble.java index 99b3a574f..df0c47573 100644 --- a/src/fractalzoomer/core/unused/DoubleDouble.java +++ b/src/fractalzoomer/core/DoubleDouble.java @@ -1,4 +1,6 @@ -package fractalzoomer.core.unused; +package fractalzoomer.core; + +import org.apfloat.Apfloat; import java.io.Serializable; @@ -138,10 +140,10 @@ public strictfp class DoubleDouble * @return the extended precision version of the value * @throws NumberFormatException if s is not a valid representation of a number */ - public static DoubleDouble valueOf(String str) + public static DoubleDouble valueOf(String str, boolean skipDigitsAfterANumber) throws NumberFormatException { - return parse(str); + return parse(str, Integer.MAX_VALUE); } /** @@ -215,7 +217,17 @@ public DoubleDouble(DoubleDouble dd) public DoubleDouble(String str) throws NumberFormatException { - this(parse(str)); + this(parse(str, Integer.MAX_VALUE)); + } + + public DoubleDouble(String str, int skipDecimals) + throws NumberFormatException + { + this(parse(str,skipDecimals)); + } + + public DoubleDouble(Apfloat a) { + this(a.toString(true), 100); } /** @@ -377,6 +389,14 @@ public DoubleDouble multiply(DoubleDouble y) return (new DoubleDouble(this)).selfMultiply(y); } + public DoubleDouble multiply(int y) { + return multiply(new DoubleDouble(y)); + } + + public DoubleDouble multiply(double y) { + return multiply(new DoubleDouble(y)); + } + /** * Multiplies this by the argument, returning this. * To prevent altering constants, @@ -420,6 +440,14 @@ public DoubleDouble divide(DoubleDouble y) return new DoubleDouble(zhi, zlo); } + public DoubleDouble divide(double y) { + return divide(new DoubleDouble(y)); + } + + public DoubleDouble divide(int y) { + return divide(new DoubleDouble(y)); + } + /* // experimental @@ -661,13 +689,15 @@ else if (intX <= -1) { DoubleDouble t = new DoubleDouble(fractionX); double n = 1.0; + int iters = 0; do { n += 1.0; t = t.divide(DoubleDouble.valueOf(n)); t = t.multiply(fractionX); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); if (invert) { s = s.reciprocal(); } @@ -676,6 +706,8 @@ else if (intX <= -1) { } + public static final int MAX_ITER = 5000; + /** * For x > 0, ratio = (x-1)/(x+1), log(x) = 2(ratio + ratio**3/3 + ratio**5/5 + ...) * @return @@ -714,13 +746,15 @@ public DoubleDouble log() { DoubleDouble w = (DoubleDouble)s.clone(); double n = 1.0; + int iters = 0; do { n += 2.0; t = t.multiply(ratioSquare); w = t.divide(DoubleDouble.valueOf(n)); sOld = s; s = s.add(w); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); return s.add(DoubleDouble.valueOf(intPart)); } @@ -738,6 +772,7 @@ public DoubleDouble sinh() { DoubleDouble sOld = (DoubleDouble)s.clone(); DoubleDouble t = new DoubleDouble(this); double n = 1.0; + int iters = 0; do { n += 1.0; t = t.divide(DoubleDouble.valueOf(n)); @@ -746,7 +781,8 @@ public DoubleDouble sinh() { t = t.multiply(square); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); return s; } @@ -764,6 +800,7 @@ public DoubleDouble cosh() { DoubleDouble sOld = (DoubleDouble)s.clone(); DoubleDouble t = DoubleDouble.valueOf(1.0); double n = 0.0; + int iters = 0 ; do { n += 1.0; t = t.divide(DoubleDouble.valueOf(n)); @@ -772,7 +809,8 @@ public DoubleDouble cosh() { t = t.multiply(square); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); return s; } @@ -808,6 +846,7 @@ else if (TWO_PIremainder.lt(PI.negate())) { DoubleDouble sOld = (DoubleDouble)s.clone(); DoubleDouble t = new DoubleDouble(TWO_PIremainder); double n = 1.0; + int iters = 0; do { n += 1.0; t = t.divide(DoubleDouble.valueOf(n)); @@ -816,7 +855,8 @@ else if (TWO_PIremainder.lt(PI.negate())) { t = t.multiply(msquare); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); if (negate) { s = s.negate(); } @@ -885,6 +925,7 @@ else if (TWO_PIremainder.lt(PI.negate())) { DoubleDouble sOld = (DoubleDouble)s.clone(); DoubleDouble t = DoubleDouble.valueOf(1.0); double n = 0.0; + int iters = 0; do { n += 1.0; t = t.divide(DoubleDouble.valueOf(n)); @@ -893,7 +934,8 @@ else if (TWO_PIremainder.lt(PI.negate())) { t = t.multiply(msquare); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); if (negate) { s = s.negate(); } @@ -939,6 +981,7 @@ else if (PIremainder.equals(PI_2.negate())) { DoubleDouble sOld = (DoubleDouble)s.clone(); DoubleDouble t = new DoubleDouble(PIremainder); int n = 1; + int iters = 0; do { n++; twon = 2*n; @@ -951,7 +994,8 @@ else if (PIremainder.equals(PI_2.negate())) { t = t.multiply(square); sOld = s; s = s.add(t); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); return s; } @@ -981,6 +1025,7 @@ public DoubleDouble asin() { double n = 1.0; double numn = 1.0; double denomn = 1.0; + int iters = 0; do { n += 2.0; numn = (n - 2.0); @@ -991,7 +1036,8 @@ public DoubleDouble asin() { w = t.divide(DoubleDouble.valueOf(n)); sOld = s; s = s.add(w); - } while (s.ne(sOld)); + iters++; + } while (s.ne(sOld) && iters < MAX_ITER); return s; } @@ -1092,6 +1138,8 @@ else if (this.abs().lt(DoubleDouble.valueOf(1.0))) { sOld = (DoubleDouble)s.clone(); DoubleDouble t = new DoubleDouble(this); DoubleDouble w = new DoubleDouble(this); + + int iter = 0; double n = 1.0; do { n += 2.0; @@ -1099,7 +1147,8 @@ else if (this.abs().lt(DoubleDouble.valueOf(1.0))) { w = t.divide(DoubleDouble.valueOf(n)); sOld = s; s = s.add(w); - } while (s.ne(sOld)); + iter++; + } while (s.ne(sOld) && iter < MAX_ITER); } else { DoubleDouble msquare = (this.multiply(this)).negate(); @@ -1108,13 +1157,15 @@ else if (this.abs().lt(DoubleDouble.valueOf(1.0))) { DoubleDouble t = (DoubleDouble)s.clone(); DoubleDouble w = (DoubleDouble)s.clone(); double n = 1.0; + int iter = 0; do { n += 2.0; t = t.divide(msquare); w = t.divide(DoubleDouble.valueOf(n)); sOld = s; s = s.add(w); - } while (s.ne(sOld)); + iter++; + } while (s.ne(sOld) && iter < MAX_ITER); if (isPositive()) { s = s.add(PI_2); } @@ -2023,7 +2074,7 @@ private static int magnitude(double x) * @return the value of the parsed number * @throws NumberFormatException if str is not a valid representation of a number */ - public static DoubleDouble parse(String str) + public static DoubleDouble parse(String str, int skipDecimalValue) throws NumberFormatException { int i = 0; @@ -2054,6 +2105,11 @@ public static DoubleDouble parse(String str) while (true) { if (i >= strlen) break; + + if(numDigits > skipDecimalValue) { + break; + } + char ch = str.charAt(i); i++; if (Character.isDigit(ch)) { @@ -2122,4 +2178,8 @@ public DoubleDouble toRadians() { public DoubleDouble toDegrees() { return this.multiply(new DoubleDouble(180.0)).divide(PI); } + + public MantExp getMantExp() { + return new MantExp(doubleValue()); + } } diff --git a/src/fractalzoomer/core/DrawOrbit.java b/src/fractalzoomer/core/DrawOrbit.java index eedbedc83..0bfb4360d 100644 --- a/src/fractalzoomer/core/DrawOrbit.java +++ b/src/fractalzoomer/core/DrawOrbit.java @@ -19,8 +19,8 @@ import fractalzoomer.core.iteration_algorithm.FractalIterationAlgorithm; import fractalzoomer.core.iteration_algorithm.IterationAlgorithm; import fractalzoomer.core.iteration_algorithm.JuliaIterationAlgorithm; -import fractalzoomer.core.location.CartesianLocation; -import fractalzoomer.core.location.PolarLocation; +import fractalzoomer.core.location.normal.CartesianLocationNormalApfloatArbitrary; +import fractalzoomer.core.location.normal.PolarLocationNormalApfloatArbitrary; import fractalzoomer.fractal_options.Rotation; import fractalzoomer.functions.Fractal; import fractalzoomer.functions.barnsley.Barnsley1; @@ -137,7 +137,7 @@ public DrawOrbit(Settings s, int pixel_x, int pixel_y, int image_size, MainWindo InitOrbitSettings(s.xCenter, s.yCenter, s.size, s.max_iterations > 400 ? 400 : s.max_iterations, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.perturbation_user_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.initial_value_user_formula, s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.laguerre_deg, s.fns.kleinianLine, s.fns.kleinianK, s.fns.kleinianM, s.fns.gcs, s.fns.durand_kerner_init_val, s.fns.mps, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.gcps, s.fns.igs, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.root_initialization_method, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.defaultNovaInitialValue, s.fns.useGlobalMethod, s.fns.globalMethodFactor); } else { - InitOrbitSettings(s.xCenter, s.yCenter, s.size, s.max_iterations > 400 ? 400 : s.max_iterations, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.apply_plane_on_julia, s.fns.apply_plane_on_julia_seed, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.gcs, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.laguerre_deg, s.fns.gcps, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.juliter, s.fns.juliterIterations, s.fns.juliterIncludeInitialIterations, s.fns.defaultNovaInitialValue, s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.perturbation_user_formula, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.initial_value_user_formula, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.useGlobalMethod, s.fns.globalMethodFactor, s.xJuliaCenter, s.yJuliaCenter); + InitOrbitSettings(s.xCenter, s.yCenter, s.size, s.max_iterations > 400 ? 400 : s.max_iterations, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.apply_plane_on_julia, s.fns.apply_plane_on_julia_seed, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.gcs, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.laguerre_deg, s.fns.gcps, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.juliter, s.fns.juliterIterations, s.fns.juliterIncludeInitialIterations, s.fns.defaultNovaInitialValue, s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.perturbation_user_formula, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.initial_value_user_formula, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.useGlobalMethod, s.fns.globalMethodFactor, s.xJuliaCenter.doubleValue(), s.yJuliaCenter.doubleValue()); } } @@ -148,7 +148,7 @@ public DrawOrbit(Settings s, double pixel_x, double pixel_y, int sec_points, int InitOrbitSettings(s.xCenter, s.yCenter, s.size, sec_points, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.perturbation_user_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.initial_value_user_formula, s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.laguerre_deg, s.fns.kleinianLine, s.fns.kleinianK, s.fns.kleinianM, s.fns.gcs, s.fns.durand_kerner_init_val, s.fns.mps, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.gcps, s.fns.igs, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.root_initialization_method, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.defaultNovaInitialValue, s.fns.useGlobalMethod, s.fns.globalMethodFactor); } else { - InitOrbitSettings(s.xCenter, s.yCenter, s.size, sec_points, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.apply_plane_on_julia, s.fns.apply_plane_on_julia_seed, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.gcs, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.laguerre_deg, s.fns.gcps, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.juliter, s.fns.juliterIterations, s.fns.juliterIncludeInitialIterations, s.fns.defaultNovaInitialValue, s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.perturbation_user_formula, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.initial_value_user_formula, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.useGlobalMethod, s.fns.globalMethodFactor, s.xJuliaCenter, s.yJuliaCenter); + InitOrbitSettings(s.xCenter, s.yCenter, s.size, sec_points, pixel_x, pixel_y, image_size, ptr, orbit_color, orbit_style, s.fns.plane_type, s.fns.apply_plane_on_julia, s.fns.apply_plane_on_julia_seed, s.fns.burning_ship, s.fns.mandel_grass, s.fns.mandel_grass_vals, s.fns.function, s.fns.z_exponent, s.fns.z_exponent_complex, Settings.fromDDArray(s.fns.rotation_vals), Settings.fromDDArray(s.fns.rotation_center), s.fns.coefficients, s.fns.z_exponent_nova, s.fns.relaxation, s.fns.nova_method, s.fns.user_formula, s.fns.user_formula2, s.fns.bail_technique, s.fns.user_plane, s.fns.user_plane_algorithm, s.fns.user_plane_conditions, s.fns.user_plane_condition_formula, s.fns.user_formula_iteration_based, s.fns.user_formula_conditions, s.fns.user_formula_condition_formula, s.height_ratio, s.fns.plane_transform_center, s.fns.plane_transform_angle, s.fns.plane_transform_radius, s.fns.plane_transform_scales, s.fns.plane_transform_wavelength, s.fns.waveType, s.fns.plane_transform_angle2, s.fns.plane_transform_sides, s.fns.plane_transform_amount, s.polar_projection, s.circle_period, show_converging_point, s.fns.coupling, s.fns.user_formula_coupled, s.fns.coupling_method, s.fns.coupling_amplitude, s.fns.coupling_frequency, s.fns.coupling_seed, s.fns.gcs, s.fns.coefficients_im, s.fns.lpns.lyapunovFinalExpression, s.fns.lpns.lyapunovFunction, s.fns.lpns.lyapunovExponentFunction, s.fns.user_fz_formula, s.fns.user_dfz_formula, s.fns.user_ddfz_formula, s.fns.user_dddfz_formula, s.fns.user_relaxation_formula, s.fns.user_nova_addend_formula, s.fns.laguerre_deg, s.fns.gcps, s.fns.lfns, s.fns.newton_hines_k, s.fns.lpns.lyapunovInitialValue, s.fns.lpns.lyapunovInitializationIteratons, s.fns.preffs, s.fns.postffs, s.fns.ips, s.fns.juliter, s.fns.juliterIterations, s.fns.juliterIncludeInitialIterations, s.fns.defaultNovaInitialValue, s.fns.perturbation, s.fns.perturbation_vals, s.fns.variable_perturbation, s.fns.user_perturbation_algorithm, s.fns.perturbation_user_formula, s.fns.user_perturbation_conditions, s.fns.user_perturbation_condition_formula, s.fns.init_val, s.fns.initial_vals, s.fns.variable_init_value, s.fns.user_initial_value_algorithm, s.fns.initial_value_user_formula, s.fns.user_initial_value_conditions, s.fns.user_initial_value_condition_formula, s.fns.useGlobalMethod, s.fns.globalMethodFactor, s.xJuliaCenter.doubleValue(), s.yJuliaCenter.doubleValue()); } } @@ -173,12 +173,12 @@ private void InitOrbitSettings(Apfloat xCenter, Apfloat yCenter, Apfloat size, i this.rotation_center = rotation_center; if(polar_projection) { - PolarLocation location = new PolarLocation(xCenter, yCenter, size, height_ratio, image_size, circle_period); + PolarLocationNormalApfloatArbitrary location = new PolarLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image_size, circle_period); complex_orbit = new ArrayList<>(max_iterations + 1); complex_orbit.add(location.getComplexOrbit(pixel_x, pixel_y)); } else { - CartesianLocation location = new CartesianLocation(xCenter, yCenter, size, height_ratio, image_size); + CartesianLocationNormalApfloatArbitrary location = new CartesianLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image_size); complex_orbit = new ArrayList<>(max_iterations + 1); complex_orbit.add(location.getComplexOrbit(pixel_x, pixel_y)); } @@ -245,12 +245,12 @@ private void InitOrbitSettings(Apfloat xCenter, Apfloat yCenter, Apfloat size, i this.rotation_center = rotation_center; if(polar_projection) { - PolarLocation location = new PolarLocation(xCenter, yCenter, size, height_ratio, image_size, circle_period); + PolarLocationNormalApfloatArbitrary location = new PolarLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image_size, circle_period); complex_orbit = new ArrayList<>(max_iterations + 1); complex_orbit.add(location.getComplexOrbit(pixel_x, pixel_y)); } else { - CartesianLocation location = new CartesianLocation(xCenter, yCenter, size, height_ratio, image_size); + CartesianLocationNormalApfloatArbitrary location = new CartesianLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image_size); complex_orbit = new ArrayList<>(max_iterations + 1); complex_orbit.add(location.getComplexOrbit(pixel_x, pixel_y)); } diff --git a/src/fractalzoomer/core/GenericComplex.java b/src/fractalzoomer/core/GenericComplex.java index 95a17999d..4a1f60908 100644 --- a/src/fractalzoomer/core/GenericComplex.java +++ b/src/fractalzoomer/core/GenericComplex.java @@ -7,6 +7,8 @@ public class GenericComplex { public Complex toComplex() {return null;} + public MantExpComplex toMantExpComplex() {return null;} + public GenericComplex square_plus_c(GenericComplex c) { return null;} public GenericComplex squareFast_plus_c(NormComponents normComponents, GenericComplex c) { return null;} @@ -15,14 +17,20 @@ public class GenericComplex { public GenericComplex fourthFast(NormComponents normComponents) { return null;} public GenericComplex fifthFast(NormComponents normComponents) { return null;} + public GenericComplex squareFast_non_mutable(NormComponents normComponents) { return null;} + public GenericComplex abs() {return null;} public GenericComplex sub(GenericComplex v) { return null; } + public GenericComplex sub_mutable(GenericComplex v) { return null; } + public int compare(GenericComplex z2) { return 2; } public GenericComplex square() {return null;} + public GenericComplex square_mutable() {return null;} + public GenericComplex cube() {return null;} public GenericComplex fourth() {return null;} @@ -31,28 +39,56 @@ public class GenericComplex { public GenericComplex plus(GenericComplex z2) {return null;} + public GenericComplex plus_mutable(GenericComplex z2) {return null;} + public GenericComplex conjugate() {return null;} + public GenericComplex times2() {return null;} + + public GenericComplex times2_mutable() {return null;} + + public GenericComplex times4() {return null;} + public GenericComplex times(Apfloat a) {return null;} - public GenericComplex sub(Apfloat a) {return null;} + public GenericComplex divide(Apfloat a) {return null;} - public GenericComplex r_sub(Apfloat a) {return null;} + public GenericComplex divide(int a) {return null;} + public GenericComplex times(int a) {return null;} + public GenericComplex times_mutable(int a) {return null;} - public GenericComplex times(BigNum a) {return null;} + public GenericComplex times_mutable(GenericComplex a) {return null;} - public GenericComplex sub(BigNum a) {return null;} + public GenericComplex negative() { return null;} + public GenericComplex negative_mutable() { return null;} - public GenericComplex r_sub(BigNum a) {return null;} + public GenericComplex plus(Apfloat a) {return null;} + public GenericComplex plus(int a) {return null;} + public GenericComplex plus_mutable(int a) {return null;} + public GenericComplex sub(Apfloat a) {return null;} + + public GenericComplex sub(int a) {return null;} + public GenericComplex sub_mutable(int a) {return null;} public GenericComplex times(GenericComplex c) {return null;} public Object normSquared() { return null;} public Object distanceSquared(GenericComplex z) { return null;} - public NormComponents normSquaredWithComponents() {return null;} + public NormComponents normSquaredWithComponents(NormComponents n) {return null;} public BigNumComplex toBigNumComplex() { return null; } + public MpfrBigNumComplex toMpfrBigNumComplex() { return null; } + + public DDComplex toDDComplex() { return null; } + + + public void set(GenericComplex z) {}; + + public GenericComplex divide(GenericComplex z) {return null;} + + public GenericComplex divide_mutable(GenericComplex z) {return null;} + } diff --git a/src/fractalzoomer/core/ImageFilters.java b/src/fractalzoomer/core/ImageFilters.java index ee77de5e2..dd2e164f5 100644 --- a/src/fractalzoomer/core/ImageFilters.java +++ b/src/fractalzoomer/core/ImageFilters.java @@ -42,7 +42,6 @@ public class ImageFilters { private static final float[] sharpness_high = {-0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, 3.4f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f, -0.1f}; private static float[] sharpness_low = {0.0f, -0.2f, 0.0f, -0.2f, 1.8f, -0.2f, 0.0f, -0.2f, 0.0f}; private static final float[] EMBOSS = {1.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, -1.0f}; - public static final int IMAGE_SIZE_LIMIT = 4000; private static void filterEmboss(BufferedImage image, int filter_value) { @@ -121,10 +120,6 @@ private static void filterEmboss(BufferedImage image, int filter_value) { f.filter(image, image); } - if (image_size > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterEdgeDetection(BufferedImage image, int filter_value, Color filter_color) { @@ -188,10 +183,6 @@ private static void filterEdgeDetection(BufferedImage image, int filter_value, C newSource = null; newSource2 = null; - if (image_size > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterSharpness(BufferedImage image, int filter_value) { @@ -225,9 +216,6 @@ private static void filterSharpness(BufferedImage image, int filter_value) { cop = null; newSource = null; - if (image_size > IMAGE_SIZE_LIMIT) { - System.gc(); - } } private static void filterBlurring(BufferedImage image, int filter_value) { //OLD antialiasing method (blurring) @@ -373,11 +361,6 @@ private static void filterBlurring(BufferedImage image, int filter_value) { //OL f.filter(image, image); } - - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterInvertColors(BufferedImage image, int filter_value) { @@ -467,10 +450,6 @@ private static void filterMaskColors(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterFadeOut(BufferedImage image) { @@ -479,10 +458,6 @@ private static void filterFadeOut(BufferedImage image) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorChannelSwapping(BufferedImage image, int filter_value) { @@ -529,10 +504,6 @@ private static void filterContrastBrightness(BufferedImage image, int filter_val f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorTemperature(BufferedImage image, int filter_value) { @@ -542,11 +513,6 @@ private static void filterColorTemperature(BufferedImage image, int filter_value f.setTemperature((float) filter_value); f.filter(image, image); - - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterGrayscale(BufferedImage image, int filter_value) { @@ -923,10 +889,6 @@ private static void filterHistogramEqualization(BufferedImage image, int filter_ }); } - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorChannelSwizzling(BufferedImage image, int filter_value) { @@ -951,10 +913,6 @@ private static void filterColorChannelSwizzling(BufferedImage image, int filter_ f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorChannelAdjusting(BufferedImage image, int filter_value) { @@ -971,9 +929,6 @@ private static void filterColorChannelAdjusting(BufferedImage image, int filter_ f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } } private static void filterDither(BufferedImage image, int filter_value) { @@ -1035,10 +990,6 @@ private static void filterDither(BufferedImage image, int filter_value) { f.filter(image, image); } - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterHSBcolorChannelAdjusting(BufferedImage image, int filter_value) { @@ -1053,10 +1004,6 @@ private static void filterHSBcolorChannelAdjusting(BufferedImage image, int filt f.setBFactor((float) bFactor); f.filter(image, image); - - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } } private static void filterPosterize(BufferedImage image, int filter_value) { @@ -1068,10 +1015,6 @@ private static void filterPosterize(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterSolarize(BufferedImage image) { @@ -1080,10 +1023,6 @@ private static void filterSolarize(BufferedImage image) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterGain(BufferedImage image, int filter_value) { @@ -1097,10 +1036,6 @@ private static void filterGain(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterGamma(BufferedImage image, int filter_value) { @@ -1112,10 +1047,6 @@ private static void filterGamma(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterExposure(BufferedImage image, int filter_value) { @@ -1127,10 +1058,6 @@ private static void filterExposure(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterCrystallize(BufferedImage image, int filter_value, int filter_value2, Color filter_color) { @@ -1164,9 +1091,6 @@ private static void filterCrystallize(BufferedImage image, int filter_value, int f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } } private static void filterMarble(BufferedImage image, int filter_value) { @@ -1187,9 +1111,6 @@ private static void filterMarble(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } } @@ -1226,10 +1147,6 @@ private static void filterPointillize(BufferedImage image, int filter_value, int f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterOil(BufferedImage image, int filter_value) { @@ -1244,10 +1161,6 @@ private static void filterOil(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterWeave(BufferedImage image, int filter_value, Color filter_color) { @@ -1285,10 +1198,6 @@ private static void filterWeave(BufferedImage image, int filter_value, Color fil f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterSparkle(BufferedImage image, int filter_value, Color filter_color) { @@ -1308,10 +1217,6 @@ private static void filterSparkle(BufferedImage image, int filter_value, Color f f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterGlow(BufferedImage image, int filter_value) { @@ -1326,10 +1231,6 @@ private static void filterGlow(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterNoise(BufferedImage image, int filter_value) { @@ -1353,10 +1254,6 @@ private static void filterNoise(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorChannelScaling(BufferedImage image, int filter_value) { @@ -1368,10 +1265,6 @@ private static void filterColorChannelScaling(BufferedImage image, int filter_va f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterMirror(BufferedImage image, int filter_value) { @@ -1388,10 +1281,6 @@ private static void filterMirror(BufferedImage image, int filter_value) { f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterLightEffects(BufferedImage image, int filter_value, int filter_value2, int filter_value3, Color filter_color, Color filter_color2, Color filter_color3) { @@ -1441,10 +1330,6 @@ private static void filterLightEffects(BufferedImage image, int filter_value, in f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterColorChannelMixing(BufferedImage image, int filter_value, Color filter_color) { @@ -1468,10 +1353,6 @@ private static void filterColorChannelMixing(BufferedImage image, int filter_val f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } - } private static void filterEdgeDetection2(BufferedImage image, int filter_value) { @@ -1484,9 +1365,6 @@ private static void filterEdgeDetection2(BufferedImage image, int filter_value) f.filter(image, image); - if (image.getHeight() > IMAGE_SIZE_LIMIT) { - System.gc(); - } } private static float[] createGaussianKernel(int length, double weight) { diff --git a/src/fractalzoomer/core/MantExp.java b/src/fractalzoomer/core/MantExp.java index 2f2246cc5..bb4746bb1 100644 --- a/src/fractalzoomer/core/MantExp.java +++ b/src/fractalzoomer/core/MantExp.java @@ -7,6 +7,7 @@ public class MantExp { public static final long MIN_BIG_EXPONENT = Long.MIN_VALUE >> 3; public static final MantExp ZERO = new MantExp(MIN_BIG_EXPONENT, 0.0); public static final MantExp POINTTWOFIVE = new MantExp(0.25); + public static final MantExp POINTFIVE = new MantExp(0.5); public static final MantExp ONEPOINTFIVE = new MantExp(1.5); public static final MantExp ONE = new MantExp(1.0); public static final MantExp TWO = new MantExp(2.0); @@ -31,6 +32,9 @@ public class MantExp { public static final double LOG_10_2 = Math.log10(2); private static final double LN2 = Math.log(2); private static final double LN2_REC = 1.0/LN2; + + public static long EXPONENT_DIFF_IGNORED = 120; + public static long MINUS_EXPONENT_DIFF_IGNORED = -EXPONENT_DIFF_IGNORED; double mantissa; long exp; @@ -57,7 +61,7 @@ public MantExp(MantExp other) { public MantExp(double mantissa, long exp) { this.mantissa = mantissa; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; } public MantExp(long exp, double mantissa) { @@ -118,15 +122,24 @@ public void Reduce() { long bits = Double.doubleToRawLongBits(mantissa); long f_exp = ((bits & 0x7FF0000000000000L) >> 52) + MIN_SMALL_EXPONENT; double f_val = Double.longBitsToDouble((bits & 0x800FFFFFFFFFFFFFL) | 0x3FF0000000000000L); - double temp_mantissa = f_val; - long temp_exp = f_exp; - if (mantissa != temp_mantissa) { - exp += temp_exp; - mantissa = temp_mantissa; - } + exp += f_exp; + mantissa = f_val; + } + /*public void Reduce() { + + if(mantissa == 0) { + return; + } + + long bits = Double.doubleToRawLongBits(mantissa); + long f_exp = ((bits & 0x7FF0000000000000L) >> 52) + MIN_SMALL_EXPONENT; + exp += f_exp; + mantissa = mantissa * getMultiplier(-f_exp); + }*/ + /*public double toDouble() { return mantissa * toExp(exp); }*/ @@ -144,7 +157,7 @@ else if (exp >= 1024) { }*/ public static double getMultiplier(long scaleFactor) { - if (scaleFactor <= MantExp.MIN_SMALL_EXPONENT) { + if (scaleFactor <= MIN_SMALL_EXPONENT) { return 0.0; } else if (scaleFactor >= 1024) { @@ -154,15 +167,22 @@ else if (scaleFactor >= 1024) { return twoPowExp[(int)scaleFactor - Double.MIN_EXPONENT]; } +// public double toDouble() +// { +// return toDouble(mantissa, exp); +// } + public double toDouble() { - return toDouble(mantissa, exp); + return mantissa * getMultiplier(exp); } public double getMantissa() {return mantissa;} public long getExp() { return exp;} + + /* public static double toDouble(double mantissa, long exp) { if(mantissa == 0) { @@ -178,24 +198,22 @@ public static double toDouble(double mantissa, long exp) return 0.0; } else if (sum_exp >= 1024) { - return mantissa / 0.0; + return mantissa * Double.POSITIVE_INFINITY; } return Double.longBitsToDouble((bits & 0x800FFFFFFFFFFFFFL) | ((sum_exp - MIN_SMALL_EXPONENT) << 52)); - } + }*/ public MantExp divide(MantExp factor) { double mantissa = this.mantissa / factor.mantissa; long exp = this.exp - factor.exp; - MantExp res = new MantExp(mantissa, exp); + return new MantExp(mantissa, exp); /*double abs = Math.abs(res.mantissa); if (abs > 1e50 || abs < 1e-50) { res.Reduce(); }*/ - - return res; } public MantExp divide_mutable(MantExp factor) { @@ -203,7 +221,7 @@ public MantExp divide_mutable(MantExp factor) { long exp = this.exp - factor.exp; this.mantissa = mantissa; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; /*double abs = Math.abs(mantissa); if (abs > 1e50 || abs < 1e-50) { @@ -227,14 +245,12 @@ public MantExp multiply(MantExp factor) { double mantissa = this.mantissa * factor.mantissa; long exp = this.exp + factor.exp; - MantExp res = new MantExp(mantissa, exp); + return new MantExp(mantissa, exp); /*double abs = Math.abs(res.mantissa); if (abs > 1e50 || abs < 1e-50) { res.Reduce(); }*/ - - return res; } public MantExp multiply(double factor) { @@ -247,7 +263,7 @@ public MantExp multiply_mutable(MantExp factor) { long exp = this.exp + factor.exp; this.mantissa = mantissa; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; /*double abs = Math.abs(mantissa); if (abs > 1e50 || abs < 1e-50) { @@ -266,14 +282,12 @@ public MantExp square() { double mantissa = this.mantissa * this.mantissa; long exp = this.exp << 1; - MantExp res = new MantExp(mantissa, exp); + return new MantExp(mantissa, exp); /*double abs = Math.abs(res.mantissa); if (abs > 1e50 || abs < 1e-50) { res.Reduce(); }*/ - - return res; } public MantExp square_mutable() { @@ -281,7 +295,7 @@ public MantExp square_mutable() { long exp = this.exp << 1; this.mantissa = mantissa; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; /*double abs = Math.abs(mantissa); if (abs > 1e50 || abs < 1e-50) { @@ -291,40 +305,47 @@ public MantExp square_mutable() { return this; } - public MantExp multiply05() { - MantExp res = new MantExp(mantissa, exp - 1); - return res; + public MantExp multiply2() { + return new MantExp(exp + 1, mantissa); } - public MantExp multiply05_mutable() { - long exp = this.exp - 1; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + public MantExp multiply2_mutable() { + exp++; return this; } - public MantExp multiply2() { - MantExp res = new MantExp(mantissa, exp + 1); - return res; + public MantExp multiply4() { + return new MantExp(exp + 2, mantissa); } - public MantExp multiply2_mutable() { - long exp = this.exp + 1; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + public MantExp multiply4_mutable() { + exp += 2; return this; } - public MantExp multiply4() { - MantExp res = new MantExp(mantissa, exp + 2); - return res; + + public MantExp divide2() { + return new MantExp(mantissa, exp - 1); } - public MantExp multiply4_mutable() { - long exp = this.exp + 2; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + public MantExp divide2_mutable() { + exp--; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; return this; } - public MantExp add(MantExp value) { + public MantExp divide4() { + return new MantExp(mantissa, exp - 2); + } + + public MantExp divide4_mutable() { + exp -= 2; + exp--; + this.exp = exp < MIN_BIG_EXPONENT ? MIN_BIG_EXPONENT : exp; + return this; + } + + public MantExp addOld(MantExp value) { double temp_mantissa = 0; long temp_exp = exp; @@ -334,23 +355,40 @@ public MantExp add(MantExp value) { } else if(exp > value.exp){ //temp_mantissa = value.mantissa / toExp(exp - value.exp); - temp_mantissa = toDouble(value.mantissa, value.exp - exp); - temp_mantissa = mantissa + temp_mantissa; + temp_mantissa = mantissa + getMultiplier(value.exp - exp) * value.mantissa; } else { //temp_mantissa = mantissa / toExp(value.exp - exp); - temp_mantissa = toDouble(mantissa, exp - value.exp); + temp_mantissa = getMultiplier(exp - value.exp) * mantissa; temp_exp = value.exp; temp_mantissa = temp_mantissa + value.mantissa; } - return new MantExp(temp_mantissa, temp_exp); + return new MantExp(temp_exp, temp_mantissa); } - public MantExp add_mutable(MantExp value) { + public MantExp add(MantExp value) { - double temp_mantissa = 0; + long expDiff = exp - value.exp; + + if(expDiff >= EXPONENT_DIFF_IGNORED) { + return new MantExp(exp, mantissa); + } else if(expDiff >= 0) { + double mul = getMultiplier(-expDiff); + return new MantExp(exp, mantissa + value.mantissa * mul); + } + /*else if(expDiff == 0) { + return new MantExp(exp, mantissa + value.mantissa); + }*/ + else if(expDiff > MINUS_EXPONENT_DIFF_IGNORED) { + double mul = getMultiplier(expDiff); + return new MantExp(value.exp, mantissa * mul + value.mantissa); + } else { + return new MantExp(value.exp, value.mantissa); + } + + /*double temp_mantissa = 0; long temp_exp = exp; if (exp == value.exp) { @@ -368,59 +406,77 @@ else if(exp > value.exp){ temp_mantissa = temp_mantissa + value.mantissa; } - mantissa = temp_mantissa; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; + return new MantExp(temp_exp, temp_mantissa);*/ + } + + public MantExp add_mutable(MantExp value) { + + long expDiff = exp - value.exp; + + if(expDiff >= EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = getMultiplier(-expDiff); + mantissa = mantissa + value.mantissa * mul; + } + /*else if(expDiff == 0) { + mantissa = mantissa + value.mantissa; + }*/ + else if(expDiff > MINUS_EXPONENT_DIFF_IGNORED) { + double mul = getMultiplier(expDiff); + exp = value.exp; + mantissa = mantissa * mul + value.mantissa; + } else { + exp = value.exp; + mantissa = value.mantissa; + } return this; } public MantExp subtract(MantExp value) { - double temp_mantissa = 0; - long temp_exp = exp; + long expDiff = exp - value.exp; - if (exp == value.exp) { - temp_mantissa = mantissa - value.mantissa; + if(expDiff >= EXPONENT_DIFF_IGNORED) { + return new MantExp(exp, mantissa); + } else if(expDiff >= 0) { + double mul = getMultiplier(-expDiff); + return new MantExp(exp, mantissa - value.mantissa * mul); } - else if(exp > value.exp){ - //temp_mantissa = value.mantissa / toExp(exp - value.exp); - temp_mantissa = toDouble(value.mantissa, value.exp - exp); - temp_mantissa = mantissa - temp_mantissa; - } - else { - //temp_mantissa = mantissa / toExp(value.exp - exp); - temp_mantissa = toDouble(mantissa, exp - value.exp); - temp_exp = value.exp; - temp_mantissa = temp_mantissa - value.mantissa; + /*else if(expDiff == 0) { + return new MantExp(exp, mantissa - value.mantissa); + }*/ + else if(expDiff> MINUS_EXPONENT_DIFF_IGNORED) { + double mul = getMultiplier(expDiff); + return new MantExp(value.exp, mantissa * mul - value.mantissa); + } else { + return new MantExp(value.exp, -value.mantissa); } - - return new MantExp(temp_mantissa, temp_exp); } public MantExp subtract_mutable(MantExp value) { - double temp_mantissa = 0; - long temp_exp = exp; + long expDiff = exp - value.exp; - if (exp == value.exp) { - temp_mantissa = mantissa - value.mantissa; - } - else if(exp > value.exp){ - //temp_mantissa = value.mantissa / toExp(exp - value.exp); - temp_mantissa = toDouble(value.mantissa, value.exp - exp); - temp_mantissa = mantissa - temp_mantissa; + if(expDiff >= EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = getMultiplier(-expDiff); + mantissa = mantissa - value.mantissa * mul; } - else { - //temp_mantissa = mantissa / toExp(value.exp - exp); - temp_mantissa = toDouble(mantissa, exp - value.exp); - temp_exp = value.exp; - temp_mantissa = temp_mantissa - value.mantissa; + /*else if(expDiff == 0) { + mantissa = mantissa - value.mantissa; + }*/ + else if(expDiff> MINUS_EXPONENT_DIFF_IGNORED) { + double mul = getMultiplier(expDiff); + exp = value.exp; + mantissa = mantissa * mul - value.mantissa; + } else { + exp = value.exp; + mantissa = -value.mantissa; } - - mantissa = temp_mantissa; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; - return this; } @@ -441,7 +497,7 @@ public MantExp subtract_mutable(double value) { } public MantExp negate() { - return new MantExp(-mantissa, exp); + return new MantExp(exp, -mantissa); } public MantExp negate_mutable() { @@ -450,7 +506,7 @@ public MantExp negate_mutable() { } public MantExp abs() { - return new MantExp(Math.abs(mantissa), exp); + return new MantExp(exp, Math.abs(mantissa)); } public MantExp abs_mutable() { @@ -580,7 +636,9 @@ public double log2() { } public long log2approx() { - return MantExp.getExponent(mantissa) + exp; + long bits = Double.doubleToRawLongBits(mantissa); + long exponent = ((bits & 0x7FF0000000000000L) >> 52) + MIN_SMALL_EXPONENT; + return exponent + exp; } public double log() { @@ -597,15 +655,14 @@ public MantExp sqrt() { //return new MantExp(Math.sqrt(mantissa) * Math.pow(2, dexp - (int)dexp), (int)dexp); boolean isOdd = (exp & 1) != 0; - return new MantExp(Math.sqrt(isOdd ? 2.0 * mantissa : mantissa), isOdd ? (exp - 1) >> 1 : exp >> 1); + return new MantExp(isOdd ? (exp - 1) / 2 : exp / 2, Math.sqrt(isOdd ? 2.0 * mantissa : mantissa)); } public MantExp sqrt_mutable() { boolean isOdd = (exp & 1) != 0; mantissa = Math.sqrt(isOdd ? 2.0 * mantissa : mantissa); - long exp = isOdd ? (this.exp - 1) >> 1 : this.exp >> 1; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp = isOdd ? (exp - 1) / 2 : exp / 2; return this; } diff --git a/src/fractalzoomer/core/MantExpComplex.java b/src/fractalzoomer/core/MantExpComplex.java index f08f90d24..6ef6525e0 100644 --- a/src/fractalzoomer/core/MantExpComplex.java +++ b/src/fractalzoomer/core/MantExpComplex.java @@ -37,10 +37,22 @@ public MantExpComplex(Complex c) { setMantexp(new MantExp(c.getRe()), new MantExp(c.getIm())); } + public MantExpComplex(DDComplex c) { + setMantexp(new MantExp(c.getRe().doubleValue()), new MantExp(c.getIm().doubleValue())); + } + public MantExpComplex(BigComplex c) { setMantexp(new MantExp(c.getRe()), new MantExp(c.getIm())); } + public MantExpComplex(BigNumComplex c) { + setMantexp(c.getRe().getMantExp(), c.getIm().getMantExp()); + } + + public MantExpComplex(MpfrBigNumComplex c) { + setMantexp(c.getRe().getMantExp(), c.getIm().getMantExp()); + } + public MantExpComplex(Apfloat re, Apfloat im) { setMantexp(new MantExp(re), new MantExp(im)); } @@ -89,6 +101,29 @@ else if (realIn.exp > imagIn.exp) { public MantExpComplex plus(MantExpComplex value) { + long expDiff = exp - value.exp; + + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return new MantExpComplex(exp, mantissaReal, mantissaImag); + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + return new MantExpComplex(exp, mantissaReal + value.mantissaReal * mul, mantissaImag + value.mantissaImag * mul); + } + /*else if(expDiff == 0) { + return new MantExpComplex(exp, mantissaReal + value.mantissaReal, mantissaImag + value.mantissaImag); + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + return new MantExpComplex(value.exp, mantissaReal * mul + value.mantissaReal, mantissaImag * mul + value.mantissaImag); + } else { + return new MantExpComplex(value.exp, value.mantissaReal, value.mantissaImag); + } + + } + + @Deprecated + public MantExpComplex plusOld(MantExpComplex value) { + double temp_mantissa_real = 0; double temp_mantissa_imag = 0; long temp_exp = 0; @@ -129,48 +164,35 @@ else if (exp > value.exp) { } - return new MantExpComplex(temp_mantissa_real, temp_mantissa_imag, temp_exp); + return new MantExpComplex(temp_exp, temp_mantissa_real, temp_mantissa_imag); } public MantExpComplex plus_mutable(MantExpComplex value) { - double temp_mantissa_real = 0; - double temp_mantissa_imag = 0; - long temp_exp = 0; + long expDiff = exp - value.exp; - if(exp == value.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal + value.mantissaReal; - temp_mantissa_imag = mantissaImag + value.mantissaImag; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + mantissaReal = mantissaReal + value.mantissaReal * mul; + mantissaImag = mantissaImag + value.mantissaImag * mul; } - else if (exp > value.exp) { - temp_exp = exp; - - long diff = value.exp - exp; - //temp_mantissa_real = mantissaReal + MantExp.toDouble(value.mantissaReal, diff); - //temp_mantissa_imag = mantissaImag + MantExp.toDouble(value.mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal + value.mantissaReal * d; - temp_mantissa_imag = mantissaImag + value.mantissaImag * d; - - } - else { - temp_exp = value.exp; - - long diff = exp - value.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) + value.mantissaReal; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff) + value.mantissaImag; - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d + value.mantissaReal; - temp_mantissa_imag = mantissaImag * d + value.mantissaImag; - + /*else if(expDiff == 0) { + mantissaReal = mantissaReal + value.mantissaReal; + mantissaImag = mantissaImag + value.mantissaImag; + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + exp = value.exp; + mantissaReal = mantissaReal * mul + value.mantissaReal; + mantissaImag = mantissaImag * mul + value.mantissaImag; + } else { + exp = value.exp; + mantissaReal = value.mantissaReal; + mantissaImag = value.mantissaImag; } - - mantissaReal = temp_mantissa_real; - mantissaImag = temp_mantissa_imag; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; - return this; } @@ -181,7 +203,7 @@ public MantExpComplex times(MantExpComplex factor) { double tempMantissaImag = (mantissaReal * factor.mantissaImag) + (mantissaImag * factor.mantissaReal); - MantExpComplex p = new MantExpComplex(tempMantissaReal, tempMantissaImag, exp + factor.exp); + return new MantExpComplex(tempMantissaReal, tempMantissaImag, exp + factor.exp); /*double absRe = Math.abs(tempMantissaReal); double absIm = Math.abs(tempMantissaImag); @@ -189,7 +211,6 @@ public MantExpComplex times(MantExpComplex factor) { p.Reduce(); }*/ - return p; } public MantExpComplex times_mutable(MantExpComplex factor) { @@ -225,15 +246,13 @@ public MantExpComplex times(MantExp factor) { double tempMantissaImag = mantissaImag * factor.mantissa; - MantExpComplex p = new MantExpComplex(tempMantissaReal, tempMantissaImag, exp + factor.exp); + return new MantExpComplex(tempMantissaReal, tempMantissaImag, exp + factor.exp); /*double absRe = Math.abs(tempMantissaReal); double absIm = Math.abs(tempMantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public MantExpComplex times_mutable(MantExp factor) { @@ -256,12 +275,11 @@ public MantExpComplex times_mutable(MantExp factor) { return this; } - public MantExpComplex times05() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp - 1); - return p; + public MantExpComplex divide2() { + return new MantExpComplex(mantissaReal, mantissaImag, exp - 1); } - public MantExpComplex times05_mutable() { + public MantExpComplex divide2_mutable() { long exp = this.exp - 1; this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; @@ -269,67 +287,72 @@ public MantExpComplex times05_mutable() { } + public MantExpComplex divide4() { + return new MantExpComplex(mantissaReal, mantissaImag, exp - 2); + } + + public MantExpComplex divide4_mutable() { + + long exp = this.exp - 2; + this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + return this; + + } + + @Override public MantExpComplex times2() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp + 1); - return p; + return new MantExpComplex(exp + 1, mantissaReal, mantissaImag); } + @Override public MantExpComplex times2_mutable() { - long exp = this.exp + 1; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp++; return this; } + @Override public MantExpComplex times4() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp + 2); - return p; + return new MantExpComplex(exp + 2, mantissaReal, mantissaImag); } public MantExpComplex times4_mutable() { - long exp = this.exp + 2; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp += 2; return this; } public MantExpComplex times8() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp + 3); - return p; + return new MantExpComplex(exp + 3, mantissaReal, mantissaImag); } public MantExpComplex times8_mutable() { - long exp = this.exp + 3; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp += 3; return this; } public MantExpComplex times16() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp + 4); - return p; + return new MantExpComplex(exp + 4, mantissaReal, mantissaImag); } public MantExpComplex times16_mutable() { - long exp = this.exp + 4; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp += 4; return this; } public MantExpComplex times32() { - MantExpComplex p = new MantExpComplex(mantissaReal, mantissaImag, exp + 5); - return p; + return new MantExpComplex(exp + 5, mantissaReal, mantissaImag); } public MantExpComplex times32_mutable() { - long exp = this.exp + 5; - this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; + exp += 5; return this; } @@ -344,225 +367,149 @@ public MantExpComplex plus_mutable(double real) { public MantExpComplex plus(MantExp real) { - double temp_mantissa_real = 0; - double temp_mantissa_imag; - long temp_exp = 0; + long expDiff = exp - real.exp; - if(exp == real.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal + real.mantissa; - temp_mantissa_imag = mantissaImag; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return new MantExpComplex(exp, mantissaReal, mantissaImag); + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + return new MantExpComplex(exp, mantissaReal + real.mantissa * mul, mantissaImag); } - else if (exp > real.exp) { - //double temp = MantExp.toExp(exp - real.exp); - temp_exp = exp; - //temp_mantissa_real = mantissaReal + MantExp.toDouble(real.mantissa, real.exp - exp); - //temp_mantissa_real = mantissaReal + real.mantissa / temp; - temp_mantissa_real = mantissaReal + real.mantissa * MantExp.getMultiplier(real.exp - exp); - temp_mantissa_imag = mantissaImag; - - } - else { - //double temp = MantExp.toExp(real.exp - exp); - temp_exp = real.exp; - //temp_mantissa_real = mantissaReal / temp + real.mantissa; - //temp_mantissa_imag = mantissaImag / temp; - long diff = exp - real.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) + real.mantissa; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d + real.mantissa; - temp_mantissa_imag = mantissaImag * d; + /*else if(expDiff == 0) { + return new MantExpComplex(exp, mantissaReal + real.mantissa, mantissaImag); + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + return new MantExpComplex(real.exp, mantissaReal * mul + real.mantissa, mantissaImag * mul); + } else { + return new MantExpComplex(real.exp, real.mantissa, 0.0); } - - return new MantExpComplex(temp_mantissa_real, temp_mantissa_imag, temp_exp); } public MantExpComplex plus_mutable(MantExp real) { - double temp_mantissa_real = 0; - double temp_mantissa_imag; - long temp_exp = 0; - - if(exp == real.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal + real.mantissa; - temp_mantissa_imag = mantissaImag; - } - else if (exp > real.exp) { - temp_exp = exp; - //temp_mantissa_real = mantissaReal + MantExp.toDouble(real.mantissa, real.exp - exp); - temp_mantissa_real = mantissaReal + real.mantissa * MantExp.getMultiplier(real.exp - exp); - temp_mantissa_imag = mantissaImag; + long expDiff = exp - real.exp; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + mantissaReal = mantissaReal + real.mantissa * mul; } - else { - temp_exp = real.exp; - long diff = exp - real.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) + real.mantissa; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d + real.mantissa; - temp_mantissa_imag = mantissaImag * d; + /*else if(expDiff == 0) { + mantissaReal = mantissaReal + real.mantissa; + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + exp = real.exp; + mantissaReal = mantissaReal * mul + real.mantissa; + mantissaImag = mantissaImag * mul; + } else { + exp = real.exp; + mantissaReal = real.mantissa; + mantissaImag = 0.0; } - - mantissaReal = temp_mantissa_real; - mantissaImag = temp_mantissa_imag; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; return this; + } public MantExpComplex sub(MantExpComplex value) { - double temp_mantissa_real = 0; - double temp_mantissa_imag = 0; - long temp_exp = 0; - - if(exp == value.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal - value.mantissaReal; - temp_mantissa_imag = mantissaImag - value.mantissaImag; - } - else if (exp > value.exp) { - //double temp = MantExp.toExp(exp - value.exp); - temp_exp = exp; - //temp_mantissa_real = mantissaReal - value.mantissaReal / temp; - //temp_mantissa_imag = mantissaImag - value.mantissaImag / temp; - long diff = value.exp - exp; - //temp_mantissa_real = mantissaReal - MantExp.toDouble(value.mantissaReal, diff); - //temp_mantissa_imag = mantissaImag - MantExp.toDouble(value.mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal - value.mantissaReal * d; - temp_mantissa_imag = mantissaImag - value.mantissaImag * d; + long expDiff = exp - value.exp; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return new MantExpComplex(exp, mantissaReal, mantissaImag); + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + return new MantExpComplex(exp, mantissaReal - value.mantissaReal * mul, mantissaImag - value.mantissaImag * mul); } - else { - //double temp = MantExp.toExp(value.exp - exp); - temp_exp = value.exp; - //temp_mantissa_real = mantissaReal / temp - value.mantissaReal; - //temp_mantissa_imag = mantissaImag / temp - value.mantissaImag; - long diff = exp - value.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) - value.mantissaReal; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff) - value.mantissaImag; - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d - value.mantissaReal; - temp_mantissa_imag = mantissaImag * d - value.mantissaImag; + /*else if(expDiff == 0) { + return new MantExpComplex(exp, mantissaReal - value.mantissaReal, mantissaImag - value.mantissaImag); + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + return new MantExpComplex(value.exp, mantissaReal * mul - value.mantissaReal, mantissaImag * mul - value.mantissaImag); + } else { + return new MantExpComplex(value.exp, -value.mantissaReal, -value.mantissaImag); } - return new MantExpComplex(temp_mantissa_real, temp_mantissa_imag, temp_exp); - } public MantExpComplex sub_mutable(MantExpComplex value) { - double temp_mantissa_real = 0; - double temp_mantissa_imag = 0; - long temp_exp = 0; + long expDiff = exp - value.exp; - if(exp == value.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal - value.mantissaReal; - temp_mantissa_imag = mantissaImag - value.mantissaImag; - } - else if (exp > value.exp) { - temp_exp = exp; - long diff = value.exp - exp; - //temp_mantissa_real = mantissaReal - MantExp.toDouble(value.mantissaReal, diff); - //temp_mantissa_imag = mantissaImag - MantExp.toDouble(value.mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal - value.mantissaReal * d; - temp_mantissa_imag = mantissaImag - value.mantissaImag * d; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + mantissaReal = mantissaReal - value.mantissaReal * mul; + mantissaImag = mantissaImag - value.mantissaImag * mul; } - else { - temp_exp = value.exp; - long diff = exp - value.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) - value.mantissaReal; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff) - value.mantissaImag; - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d - value.mantissaReal; - temp_mantissa_imag = mantissaImag * d - value.mantissaImag; + /*else if(expDiff == 0) { + mantissaReal = mantissaReal - value.mantissaReal; + mantissaImag = mantissaImag - value.mantissaImag; + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + exp = value.exp; + mantissaReal = mantissaReal * mul - value.mantissaReal; + mantissaImag = mantissaImag * mul - value.mantissaImag; + } else { + exp = value.exp; + mantissaReal = -value.mantissaReal; + mantissaImag = -value.mantissaImag; } - - mantissaReal = temp_mantissa_real; - mantissaImag = temp_mantissa_imag; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; return this; } public MantExpComplex sub(MantExp real) { - double temp_mantissa_real = 0; - double temp_mantissa_imag; - long temp_exp = 0; - - if(exp == real.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal - real.mantissa; - temp_mantissa_imag = mantissaImag; - } - else if (exp > real.exp) { - //double temp = MantExp.toExp(exp - real.exp); - temp_exp = exp; - //temp_mantissa_real = mantissaReal - real.mantissa / temp; - //temp_mantissa_real = mantissaReal - MantExp.toDouble(real.mantissa, real.exp - exp); - temp_mantissa_real = mantissaReal - real.mantissa * MantExp.getMultiplier(real.exp - exp); - temp_mantissa_imag = mantissaImag; + long expDiff = exp - real.exp; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return new MantExpComplex(exp, mantissaReal, mantissaImag); + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + return new MantExpComplex(exp, mantissaReal - real.mantissa * mul, mantissaImag); } - else { - //double temp = MantExp.toExp(real.exp - exp); - temp_exp = real.exp; - //temp_mantissa_real = mantissaReal / temp - real.mantissa; - //temp_mantissa_imag = mantissaImag / temp; - long diff = exp - real.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) - real.mantissa; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d - real.mantissa; - temp_mantissa_imag = mantissaImag * d; + /*else if(expDiff == 0) { + return new MantExpComplex(exp, mantissaReal - real.mantissa, mantissaImag); + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + return new MantExpComplex(real.exp, mantissaReal * mul - real.mantissa, mantissaImag * mul); + } else { + return new MantExpComplex(real.exp, -real.mantissa, 0.0); } - - return new MantExpComplex(temp_mantissa_real, temp_mantissa_imag, temp_exp); } public MantExpComplex sub_mutable(MantExp real) { - double temp_mantissa_real = 0; - double temp_mantissa_imag; - long temp_exp = 0; + long expDiff = exp - real.exp; - if(exp == real.exp) { - temp_exp = exp; - temp_mantissa_real = mantissaReal - real.mantissa; - temp_mantissa_imag = mantissaImag; + if(expDiff >= MantExp.EXPONENT_DIFF_IGNORED) { + return this; + } else if(expDiff >= 0) { + double mul = MantExp.getMultiplier(-expDiff); + mantissaReal = mantissaReal - real.mantissa * mul; } - else if (exp > real.exp) { - //double temp = MantExp.toExp(exp - real.exp); - temp_exp = exp; - //temp_mantissa_real = mantissaReal - real.mantissa / temp; - //temp_mantissa_real = mantissaReal - MantExp.toDouble(real.mantissa, real.exp - exp); - temp_mantissa_real = mantissaReal - real.mantissa * MantExp.getMultiplier(real.exp - exp); - temp_mantissa_imag = mantissaImag; - - } - else { - //double temp = MantExp.toExp(real.exp - exp); - temp_exp = real.exp; - //temp_mantissa_real = mantissaReal / temp - real.mantissa; - //temp_mantissa_imag = mantissaImag / temp; - long diff = exp - real.exp; - //temp_mantissa_real = MantExp.toDouble(mantissaReal, diff) - real.mantissa; - //temp_mantissa_imag = MantExp.toDouble(mantissaImag, diff); - double d = MantExp.getMultiplier(diff); - temp_mantissa_real = mantissaReal * d - real.mantissa; - temp_mantissa_imag = mantissaImag * d; + /*else if(expDiff == 0) { + mantissaReal = mantissaReal - real.mantissa; + }*/ + else if(expDiff > MantExp.MINUS_EXPONENT_DIFF_IGNORED) { + double mul = MantExp.getMultiplier(expDiff); + exp = real.exp; + mantissaReal = mantissaReal * mul - real.mantissa; + mantissaImag = mantissaImag * mul; + } else { + exp = real.exp; + mantissaReal = -real.mantissa; + mantissaImag = 0; } - - mantissaReal = temp_mantissa_real; - mantissaImag = temp_mantissa_imag; - exp = temp_exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : temp_exp; return this; + } public MantExpComplex sub(double real) { @@ -578,10 +525,14 @@ public void Reduce() { return; } - long expDiffRe = MantExp.getExponent(mantissaReal); - long expDiffIm = MantExp.getExponent(mantissaImag); + long bits = Double.doubleToRawLongBits(mantissaReal); + long expDiffRe = ((bits & 0x7FF0000000000000L) >> 52); + + bits = Double.doubleToRawLongBits(mantissaImag); + long expDiffIm = ((bits & 0x7FF0000000000000L) >> 52); + + long expDiff = Math.max(expDiffRe, expDiffIm) + MantExp.MIN_SMALL_EXPONENT; - long expDiff = Math.max(expDiffRe, expDiffIm); long expCombined = exp + expDiff; double mul = MantExp.getMultiplier(-expDiff); mantissaReal *= mul; @@ -642,19 +593,19 @@ else if (realExp > imagExp) { } }*/ + @Override public MantExpComplex square() { double temp = mantissaReal * mantissaImag; - MantExpComplex p = new MantExpComplex((mantissaReal + mantissaImag) * (mantissaReal - mantissaImag), temp + temp, exp << 1); + return new MantExpComplex((mantissaReal + mantissaImag) * (mantissaReal - mantissaImag), temp + temp, exp << 1); /*double absRe = Math.abs(p.mantissaReal); double absIm = Math.abs(p.mantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } + @Override public MantExpComplex square_mutable() { double temp = mantissaReal * mantissaImag; @@ -672,26 +623,25 @@ public MantExpComplex square_mutable() { return this; } + @Override public MantExpComplex cube() { double temp = mantissaReal * mantissaReal; double temp2 = mantissaImag * mantissaImag; - MantExpComplex p = new MantExpComplex(mantissaReal * (temp - 3 * temp2), mantissaImag * (3 * temp - temp2), exp + (exp << 1)); + return new MantExpComplex(mantissaReal * (temp - 3 * temp2), mantissaImag * (3 * temp - temp2), 3 * exp); /*double absRe = Math.abs(p.mantissaReal); double absIm = Math.abs(p.mantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public MantExpComplex cube_mutable() { double temp = mantissaReal * mantissaReal; double temp2 = mantissaImag * mantissaImag; - long exp = this.exp + (this.exp << 1); + long exp = 3 * this.exp; mantissaReal = mantissaReal * (temp - 3 * temp2); mantissaImag = mantissaImag * (3 * temp - temp2); this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; @@ -705,19 +655,18 @@ public MantExpComplex cube_mutable() { return this; } + @Override public MantExpComplex fourth() { double temp = mantissaReal * mantissaReal; double temp2 = mantissaImag * mantissaImag; - MantExpComplex p = new MantExpComplex(temp * (temp - 6 * temp2) + temp2 * temp2, 4 * mantissaReal * mantissaImag * (temp - temp2), exp << 2); + return new MantExpComplex(temp * (temp - 6 * temp2) + temp2 * temp2, 4 * mantissaReal * mantissaImag * (temp - temp2), exp << 2); /*double absRe = Math.abs(p.mantissaReal); double absIm = Math.abs(p.mantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public MantExpComplex fourth_mutable() { @@ -740,27 +689,26 @@ public MantExpComplex fourth_mutable() { return this; } + @Override public MantExpComplex fifth() { double temp = mantissaReal * mantissaReal; double temp2 = mantissaImag * mantissaImag; - MantExpComplex p = new MantExpComplex(mantissaReal * (temp * temp + temp2 * (5 * temp2 - 10 * temp)), mantissaImag * (temp2 * temp2 + temp * (5 * temp - 10 * temp2)), exp + (exp << 2)); + return new MantExpComplex(mantissaReal * (temp * temp + temp2 * (5 * temp2 - 10 * temp)), mantissaImag * (temp2 * temp2 + temp * (5 * temp - 10 * temp2)), 5 * exp); /*double absRe = Math.abs(p.mantissaReal); double absIm = Math.abs(p.mantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public MantExpComplex fifth_mutable() { double temp = mantissaReal * mantissaReal; double temp2 = mantissaImag * mantissaImag; - long exp = this.exp + (this.exp << 2); + long exp = 5 * this.exp; mantissaReal = mantissaReal * (temp * temp + temp2 * (5 * temp2 - 10 * temp)); mantissaImag = mantissaImag * (temp2 * temp2 + temp * (5 * temp - 10 * temp2)); this.exp = exp < MantExp.MIN_BIG_EXPONENT ? MantExp.MIN_BIG_EXPONENT : exp; @@ -794,15 +742,13 @@ public final MantExpComplex divide(MantExpComplex factor) { double tempMantissaImag = (mantissaImag * factor.mantissaReal - mantissaReal * factor.mantissaImag) / temp; - MantExpComplex p = new MantExpComplex(tempMantissaReal , tempMantissaImag, exp - factor.exp); + return new MantExpComplex(tempMantissaReal , tempMantissaImag, exp - factor.exp); /*double absRe = Math.abs(tempMantissaReal); double absIm = Math.abs(tempMantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public final MantExpComplex divide_mutable(MantExpComplex factor) { @@ -829,15 +775,13 @@ public final MantExpComplex divide_mutable(MantExpComplex factor) { public final MantExpComplex divide(MantExp real) { - MantExpComplex p = new MantExpComplex(mantissaReal / real.mantissa, mantissaImag / real.mantissa, exp - real.exp); + return new MantExpComplex(mantissaReal / real.mantissa, mantissaImag / real.mantissa, exp - real.exp); /*double absRe = Math.abs(p.mantissaReal); double absIm = Math.abs(p.mantissaImag); if (absRe > 1e50 || absIm > 1e50 || absRe < 1e-50 || absIm < 1e-50) { p.Reduce(); }*/ - - return p; } public final MantExpComplex divide_mutable(MantExp real) { @@ -868,12 +812,14 @@ public final MantExpComplex divide_mutable(double real) { } + @Override public MantExpComplex negative() { return new MantExpComplex(exp, -mantissaReal, -mantissaImag); } + @Override public MantExpComplex negative_mutable() { mantissaReal = -mantissaReal; @@ -882,6 +828,7 @@ public MantExpComplex negative_mutable() { } + @Override public MantExpComplex abs() { return new MantExpComplex(exp, Math.abs(mantissaReal), Math.abs(mantissaImag)); @@ -896,6 +843,7 @@ public MantExpComplex abs_mutable() { } + @Override public MantExpComplex conjugate() { return new MantExpComplex(exp, mantissaReal, -mantissaImag); @@ -909,6 +857,7 @@ public MantExpComplex conjugate_mutable() { } + @Override public Complex toComplex() { //return new Complex(mantissaReal * MantExp.toExp(exp), mantissaImag * MantExp.toExp(exp)); double d = MantExp.getMultiplier(exp); @@ -916,6 +865,7 @@ public Complex toComplex() { return new Complex(mantissaReal * d, mantissaImag * d); } + @Override public String toString() { return "" + mantissaReal + "*2^" + exp + " " + mantissaImag + "*2^" + exp + " " + toComplex(); } @@ -958,7 +908,10 @@ public static MantExp DiffAbs(MantExp c, MantExp d) } public long log2normApprox() { - return (MantExp.getExponent(mantissaReal*mantissaReal + mantissaImag*mantissaImag) >> 1) + exp; + double temp = mantissaReal * mantissaReal + mantissaImag * mantissaImag; + long bits = Double.doubleToRawLongBits(temp); + long exponent = ((bits & 0x7FF0000000000000L) >> 52) + MantExp.MIN_SMALL_EXPONENT; + return (exponent / 2) + exp; } /* @@ -1006,53 +959,25 @@ public static final MantExpComplex AtX(MantExpComplex A, MantExpComplex X) { } - public static void main(String[] args) { - Complex c1 = new Complex(3123423.42342, -482394.32142134); - Complex c2 = new Complex(-2313, -0.5); + public final boolean equals(MantExpComplex z2) { + return z2.exp == exp && z2.mantissaReal == mantissaReal && z2.mantissaImag == mantissaImag; - MantExpComplex mc11 = new MantExpComplex(c1); - MantExpComplex mc21 = new MantExpComplex(c2); - - //System.out.println(mc11.plus(mc21) + " " + mc11.plus2(mc21)); - //System.out.println(mc21.plus(mc11) + " " + mc21.plus2(mc11)); - - long runs = Long.MAX_VALUE >> 25; - - - for(long i = 0; i < runs; i++) { - mc11.plus(mc21); - //mc11.plus2(mc21); - } - - for(long i = 0; i < runs; i++) { - mc11.plus(mc21); - //mc11.plus2(mc21); - } - - - - - - - long time = System.currentTimeMillis(); - for(long i = 0; i < runs; i++) { - mc11.plus(mc21); - mc21.plus(mc11); - } - System.out.println(System.currentTimeMillis() - time); - - - time = System.currentTimeMillis(); - for(long i = 0; i < runs; i++) { - //mc11.plus2(mc21); - //mc21.plus2(mc11); - } - System.out.println(System.currentTimeMillis() - time); - + } + public final void assign(MantExpComplex z) { + mantissaReal = z.mantissaReal; + mantissaImag = z.mantissaImag; + exp = z.exp; } + @Override + public void set(GenericComplex za) { + MantExpComplex z = (MantExpComplex) za; + mantissaReal = z.mantissaReal; + mantissaImag = z.mantissaImag; + exp = z.exp; + } } diff --git a/src/fractalzoomer/core/MpfrBigNumComplex.java b/src/fractalzoomer/core/MpfrBigNumComplex.java new file mode 100644 index 000000000..b68c0798e --- /dev/null +++ b/src/fractalzoomer/core/MpfrBigNumComplex.java @@ -0,0 +1,2757 @@ +package fractalzoomer.core; + +import fractalzoomer.core.mpfr.MpfrBigNum; +import fractalzoomer.core.mpfr.mpfr_t; +import fractalzoomer.utils.NormComponents; +import org.apfloat.Apfloat; + +public class MpfrBigNumComplex extends GenericComplex { + private MpfrBigNum re; + private MpfrBigNum im; + + public MpfrBigNumComplex(BigComplex c) { + re = new MpfrBigNum(c.getRe()); + im = new MpfrBigNum(c.getIm()); + } + + public MpfrBigNumComplex(double re, double im) { + this.re = new MpfrBigNum(re); + this.im = new MpfrBigNum(im); + } + + public MpfrBigNumComplex(int re, int im) { + this.re = new MpfrBigNum(re); + this.im = new MpfrBigNum(im); + } + + //Does Copy + public MpfrBigNumComplex(MpfrBigNumComplex c) { + re = new MpfrBigNum(c.getRe()); + im = new MpfrBigNum(c.getIm()); + } + + public MpfrBigNumComplex(Complex c) { + re = new MpfrBigNum(c.getRe()); + im = new MpfrBigNum(c.getIm()); + } + + public MpfrBigNumComplex(MpfrBigNum re, MpfrBigNum im) { + this.re = re; + this.im = im; + } + + public MpfrBigNumComplex(mpfr_t rePeer, mpfr_t imPeer) { + + re = new MpfrBigNum(rePeer); + im = new MpfrBigNum(imPeer); + + } + + public MpfrBigNumComplex(Apfloat re, Apfloat im) { + this.re = new MpfrBigNum(re); + this.im = new MpfrBigNum(im); + } + + public MpfrBigNumComplex() { + + re = new MpfrBigNum(); + im = new MpfrBigNum(); + + } + + public MpfrBigNumComplex(String reStr, String imStr) { + + re = new MpfrBigNum(reStr); + im = new MpfrBigNum(imStr); + + } + + @Override + public MpfrBigNumComplex toMpfrBigNumComplex() { return this; } + + public final MpfrBigNum getRe() { + + return re; + + } + + public final MpfrBigNum getIm() { + + return im; + + } + + public final void setRe(MpfrBigNum re) { + + this.re = re; + + } + + public final void setIm(MpfrBigNum im) { + + this.im = im; + + } + + @Override + public final Complex toComplex() { + return new Complex(re.doubleValue(), im.doubleValue()); + } + + /* + * z1 + z2 + */ + public final MpfrBigNumComplex plus(MpfrBigNumComplex z) { + + return new MpfrBigNumComplex(re.add(z.re), im.add(z.im)); + + } + + + public final MpfrBigNumComplex plus_mutable(MpfrBigNumComplex z) { + + re.add(z.re, re); + im.add(z.im, im); + + return this; + + } + + public final MpfrBigNumComplex plus(double value) { + + return new MpfrBigNumComplex(re.add(value), new MpfrBigNum(im)); + + } + + @Override + public final MpfrBigNumComplex plus(int value) { + + return new MpfrBigNumComplex(re.add(value), new MpfrBigNum(im)); + + } + + public final MpfrBigNumComplex plus_mutable(double value) { + + re.add(value, re); + return this; + + } + + @Override + public final MpfrBigNumComplex plus_mutable(int value) { + + re.add(value, re); + return this; + + } + + /* + * z + Real + */ + public final MpfrBigNumComplex plus(MpfrBigNum number) { + + return new MpfrBigNumComplex(re.add(number), new MpfrBigNum(im)); + + } + + public final MpfrBigNumComplex plus_mutable(MpfrBigNum number) { + + re.add(number, re); + return this; + + } + + /* + * z + Imaginary + */ + public final MpfrBigNumComplex plus_i(MpfrBigNum number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.add(number)); + + } + + public final MpfrBigNumComplex plus_i_mutable(MpfrBigNum number) { + + im.add(number, im); + return this; + + } + + public final MpfrBigNumComplex plus_i(double number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.add(number)); + + } + + public final MpfrBigNumComplex plus_i(int number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.add(number)); + + } + + public final MpfrBigNumComplex plus_i_mutable(double number) { + + im.add(number, im); + return this; + + } + + public final MpfrBigNumComplex plus_i_mutable(int number) { + + im.add(number, im); + return this; + + } + + /* + * z1 - z2 + */ + public final MpfrBigNumComplex sub(MpfrBigNumComplex z) { + + return new MpfrBigNumComplex(re.sub(z.re), im.sub(z.im)); + + } + + public final MpfrBigNumComplex sub_mutable(MpfrBigNumComplex z) { + + re.sub(z.re, re); + im.sub(z.im, im); + return this; + + } + + public final MpfrBigNumComplex sub(double val) { + + return new MpfrBigNumComplex(re.sub(val), new MpfrBigNum(im)); + + } + + public final MpfrBigNumComplex sub_mutable(double val) { + + re.sub(val, re); + return this; + + } + + /* + * z - Imaginary + */ + public final MpfrBigNumComplex sub_i(MpfrBigNum number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.sub(number)); + + } + public final MpfrBigNumComplex sub_i_mutable(MpfrBigNum number) { + + im.sub(number, im); + return this; + + } + + public final MpfrBigNumComplex sub_i(double number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.sub(number)); + + } + public final MpfrBigNumComplex sub_i_mutable(double number) { + + im.sub(number, im); + return this; + + } + + public final MpfrBigNumComplex sub_i(int number) { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.sub(number)); + + } + public final MpfrBigNumComplex sub_i_mutable(int number) { + + im.sub(number, im); + return this; + + } + + @Override + public final MpfrBigNumComplex sub(int val) { + + return new MpfrBigNumComplex(re.sub(val), new MpfrBigNum(im)); + + } + + @Override + public final MpfrBigNumComplex sub_mutable(int val) { + + re.sub(val, re); + return this; + + } + + /* + * z - Real, Mutable + */ + public final MpfrBigNumComplex sub_mutable(MpfrBigNum number) { + + re.sub(number, re); + return this; + + } + + + /* + * z - Real + */ + public final MpfrBigNumComplex sub(MpfrBigNum number) { + + return new MpfrBigNumComplex(re.sub(number), new MpfrBigNum(im)); + + } + + /* + * Real - z1 + */ + public final MpfrBigNumComplex r_sub(MpfrBigNum number) { + + return new MpfrBigNumComplex(number.sub(re), im.negate()); + + } + + public final MpfrBigNumComplex r_sub_mutable(MpfrBigNum number) { + + number.sub(re, re); + im.negate(im); + return this; + + } + + public final MpfrBigNumComplex r_sub(double number) { + + return new MpfrBigNumComplex(re.r_sub(number), im.negate()); + + } + + public final MpfrBigNumComplex r_sub_mutable(double number) { + + re.r_sub(number, re); + im.negate(im); + return this; + + } + + public final MpfrBigNumComplex r_sub(int number) { + + return new MpfrBigNumComplex(re.r_sub(number), im.negate()); + + } + + public final MpfrBigNumComplex r_sub_mutable(int number) { + + re.r_sub(number, re); + im.negate(im); + return this; + + } + + /* + * Imaginary - z + */ + public final MpfrBigNumComplex i_sub(MpfrBigNum number) { + + return new MpfrBigNumComplex(re.negate(), number.sub(im)); + + } + + public final MpfrBigNumComplex i_sub_mutable(MpfrBigNum number) { + + re.negate(re); + number.sub(im, im); + return this; + + } + + public final MpfrBigNumComplex i_sub(double number) { + + return new MpfrBigNumComplex(re.negate(), im.r_sub(number)); + + } + + public final MpfrBigNumComplex i_sub_mutable(double number) { + + re.negate(re); + im.r_sub(number, im); + return this; + + } + + public final MpfrBigNumComplex i_sub(int number) { + + return new MpfrBigNumComplex(re.negate(), im.r_sub(number)); + + } + + public final MpfrBigNumComplex i_sub_mutable(int number) { + + re.negate(re); + im.r_sub(number, im); + return this; + + } + + /* + * z1 * z2 + */ + public final MpfrBigNumComplex times(MpfrBigNumComplex z) { + + MpfrBigNum tempRe = re.mult(z.re); + MpfrBigNum tempRe2 = im.mult(z.im); + tempRe.sub(tempRe2, tempRe); + + MpfrBigNum tempIm = re.mult(z.im); + MpfrBigNum tempIm2 = im.mult(z.re); + tempIm.add(tempIm2, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex times_mutable(MpfrBigNumComplex z) { + + MpfrBigNum tempRe = new MpfrBigNum(re); + MpfrBigNum tempIm = new MpfrBigNum(im); + + tempRe = tempRe.mult(z.re, tempRe); + tempIm = tempIm.mult(z.im, tempIm); + tempRe = tempRe.sub(tempIm, tempRe); + + re.mult(z.im, re); + im.mult(z.re, im); + im.add(re, im); + + re = tempRe; + + return this; + + } + + /* + * z1 * Real + */public final MpfrBigNumComplex times(MpfrBigNum number) { + + return new MpfrBigNumComplex(re.mult(number), im.mult(number)); + + } + + public final MpfrBigNumComplex times(double number) { + + return new MpfrBigNumComplex(re.mult(number), im.mult(number)); + + } + + @Override + public final MpfrBigNumComplex times(int number) { + + return new MpfrBigNumComplex(re.mult(number), im.mult(number)); + + } + + public final MpfrBigNumComplex times_mutable(MpfrBigNum number) { + + re.mult(number, re); + im.mult(number, im); + return this; + + } + + public final MpfrBigNumComplex times_mutable(double number) { + + re.mult(number, re); + im.mult(number, im); + return this; + + } + + @Override + public final MpfrBigNumComplex times_mutable(int number) { + + re.mult(number, re); + im.mult(number, im); + return this; + + } + + /* + * z * Imaginary + */ + public final MpfrBigNumComplex times_i(MpfrBigNum number) { + + return new MpfrBigNumComplex(im.negate().mult(number), re.mult(number)); + + } + + public final MpfrBigNumComplex times_i(double number) { + + return new MpfrBigNumComplex(im.negate().mult(number), re.mult(number)); + + } + + public final MpfrBigNumComplex times_i(int number) { + + return new MpfrBigNumComplex(im.negate().mult(number), re.mult(number)); + + } + + public final MpfrBigNumComplex times_i_mutable(MpfrBigNum number) { + + im.negate(im); + im.mult(number, im); + re.mult(number, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + public final MpfrBigNumComplex times_i_mutable(double number) { + + im.negate(im); + im.mult(number, im); + re.mult(number, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + public final MpfrBigNumComplex times_i_mutable(int number) { + + im.negate(im); + im.mult(number, im); + re.mult(number, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + /* + * z^2 + */ + @Override + public final MpfrBigNumComplex square() { + MpfrBigNum tempIm = re.mult(im); + tempIm.mult2(tempIm); + + MpfrBigNum tempRe = re.add(im); + MpfrBigNum tempRe2 = re.sub(im); + tempRe.mult(tempRe2, tempRe); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + @Override + public final MpfrBigNumComplex square_mutable() { + + MpfrBigNum tempRe = re.add(im); + MpfrBigNum tempRe2 = re.sub(im); + tempRe.mult(tempRe2, tempRe); + + re.mult(im, im); + im.mult2(im); + + re = tempRe; + + return this; + } + + /* + * z^2 + c + */ + public final MpfrBigNumComplex squareFast_plus_c_non_mutable(NormComponents normComponents, GenericComplex ca) { + MpfrBigNum reSqr = (MpfrBigNum) normComponents.reSqr; + MpfrBigNum imSqr = (MpfrBigNum) normComponents.imSqr; + MpfrBigNum normSquared = (MpfrBigNum) normComponents.normSquared; + MpfrBigNumComplex c = (MpfrBigNumComplex) ca; + + MpfrBigNum tempRe = new MpfrBigNum(reSqr); + tempRe.sub(imSqr, tempRe); + tempRe.add(c.re, tempRe); + + MpfrBigNum tempIm = new MpfrBigNum(re); + tempIm.add(im, tempIm); + tempIm.square(tempIm); + tempIm.sub(normSquared, tempIm); + tempIm.add(c.im, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + /* + * z^2 + c, Mutable for performance + */ + @Override + public final MpfrBigNumComplex squareFast_plus_c(NormComponents normComponents, GenericComplex ca) { + MpfrBigNum reSqr = (MpfrBigNum) normComponents.reSqr; + MpfrBigNum imSqr = (MpfrBigNum) normComponents.imSqr; + MpfrBigNum normSquared = (MpfrBigNum) normComponents.normSquared; + MpfrBigNumComplex c = (MpfrBigNumComplex) ca; + + MpfrBigNum tempRe = (MpfrBigNum) normComponents.tempRe; + reSqr.sub(imSqr, tempRe); + tempRe.add(c.re, tempRe); + + MpfrBigNum tempIm = (MpfrBigNum) normComponents.tempIm; + re.add(im, tempIm); + tempIm.square(tempIm); + tempIm.sub(normSquared, tempIm); + tempIm.add(c.im, im); + + re.set(tempRe); + + return this; + } + + /* + * z^2 , Mutable for performance + */ + @Override + public final MpfrBigNumComplex squareFast(NormComponents normComponents) { + MpfrBigNum reSqr = (MpfrBigNum) normComponents.reSqr; + MpfrBigNum imSqr = (MpfrBigNum) normComponents.imSqr; + MpfrBigNum normSquared = (MpfrBigNum) normComponents.normSquared; + + MpfrBigNum tempRe = (MpfrBigNum) normComponents.tempRe; + reSqr.sub(imSqr, tempRe); + + MpfrBigNum tempIm = (MpfrBigNum) normComponents.tempIm; + re.add(im, tempIm); + tempIm.square(tempIm); + tempIm.sub(normSquared, im); + + re.set(tempRe); + + return this; + } + + /* + * z^2 + */ + @Override + public final MpfrBigNumComplex squareFast_non_mutable(NormComponents normComponents) { + MpfrBigNum reSqr = (MpfrBigNum) normComponents.reSqr; + MpfrBigNum imSqr = (MpfrBigNum) normComponents.imSqr; + MpfrBigNum normSquared = (MpfrBigNum) normComponents.normSquared; + + MpfrBigNum tempRe = new MpfrBigNum(reSqr); + tempRe.sub(imSqr, tempRe); + + MpfrBigNum tempIm = new MpfrBigNum(re); + tempIm.add(im, tempIm); + tempIm.square(tempIm); + tempIm.sub(normSquared, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + /* + * z^3, Mutable + */ + @Override + public final MpfrBigNumComplex cubeFast(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + MpfrBigNum tempRe = (MpfrBigNum) normComponents.tempRe; + temp2.mult(3, tempRe); + temp.sub(tempRe, tempRe); + re.mult(tempRe, tempRe); + + MpfrBigNum tempIm = (MpfrBigNum) normComponents.tempIm; + temp.mult(3, tempIm); + tempIm.sub(temp2, tempIm); + im.mult(tempIm, im); + + re.set(tempRe); + + return this; + + } + + public final MpfrBigNumComplex cubeFast_non_mutable(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + MpfrBigNum tempRe = temp2.mult(3); + temp.sub(tempRe, tempRe); + tempRe.mult(re, tempRe); + + MpfrBigNum tempIm = temp.mult(3); + tempIm.sub(temp2, tempIm); + tempIm.mult(im, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + /* + * z^4 + */ + @Override + public final MpfrBigNumComplex fourthFast(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + MpfrBigNum tempRe = (MpfrBigNum) normComponents.tempRe; + temp2.mult(6, tempRe); + temp.sub(tempRe, tempRe); + temp.mult(tempRe, tempRe); + + MpfrBigNum temp1 = (MpfrBigNum) normComponents.temp1; + temp2.square(temp1); + tempRe.add(temp1, tempRe); + + + MpfrBigNum tempIm = (MpfrBigNum) normComponents.tempIm; + re.mult(im, tempIm); + tempIm.mult4(tempIm); + + temp.sub(temp2, temp1); + tempIm.mult(temp1, im); + + re.set(tempRe); + + return this; + + } + + public final MpfrBigNumComplex fourthFast_non_mutable(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + temp.mult(temp.sub(temp2.mult(6))).add(temp2.square()); + + MpfrBigNum tempRe = temp2.mult(6); + temp.sub(tempRe, tempRe); + temp.mult(tempRe, tempRe); + tempRe.add(temp2.square(), tempRe); + + MpfrBigNum tempIm = re.mult(im); + tempIm.mult4(tempIm); + tempIm.mult(temp.sub(temp2), tempIm); + + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + /* + * z^5 + */ + @Override + public final MpfrBigNumComplex fifthFast(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + MpfrBigNum tempRe = (MpfrBigNum) normComponents.tempRe; + temp.mult(10, tempRe); + + MpfrBigNum temp1 = (MpfrBigNum) normComponents.temp1; + temp2.mult(5, temp1); + temp1.sub(tempRe, tempRe); + temp.square(temp1); + temp1.add(tempRe, tempRe); + re.mult(tempRe, tempRe); + + MpfrBigNum tempIm = (MpfrBigNum) normComponents.tempIm; + temp2.mult(10, tempIm); + temp.mult(5, temp1); + temp1.sub(tempRe, tempRe); + temp2.square(temp1); + temp1.add(tempIm, tempIm); + im.mult(tempIm, im); + + re.set(tempRe); + + return this; + + } + + public final MpfrBigNumComplex fifthFast_non_mutable(NormComponents normComponents) { + + MpfrBigNum temp = (MpfrBigNum)normComponents.reSqr; + MpfrBigNum temp2 = (MpfrBigNum)normComponents.imSqr; + + MpfrBigNum tempRe = temp.mult(10); + temp2.mult(5).sub(tempRe, tempRe); + temp2.mult(tempRe, tempRe); + temp.square().add(tempRe, tempRe); + re.mult(tempRe, tempRe); + + MpfrBigNum tempIm = temp2.mult(10); + temp.mult(5).sub(tempIm, tempIm); + temp.mult(tempIm, tempIm); + temp2.square().add(tempIm, tempIm); + im.mult(tempIm, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + @Override + public NormComponents normSquaredWithComponents(NormComponents n) { + + if(n == null) { + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + MpfrBigNum tempRe = new MpfrBigNum(); + MpfrBigNum tempIm = new MpfrBigNum(); + MpfrBigNum temp1 = new MpfrBigNum(); + return new NormComponents(reSqr, imSqr, reSqr.add(imSqr), tempRe, tempIm, temp1); + } + + MpfrBigNum reSqr = (MpfrBigNum)n.reSqr; + MpfrBigNum imSqr = (MpfrBigNum)n.imSqr; + MpfrBigNum normSquared = (MpfrBigNum)n.normSquared; + + re.square(reSqr); + im.square(imSqr); + reSqr.add(imSqr, normSquared); + + return n; + } + + /* + * |z|, euclidean norm + */ + public final MpfrBigNum norm() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + + reSqr.add(imSqr, reSqr); + reSqr.sqrt(reSqr); + + return reSqr; + + } + + /* + * |z|^2 + */ + public final MpfrBigNum norm_squared() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + + reSqr.add(imSqr, reSqr); + + return reSqr; + + } + + /* + * |z1 - z2|^2 + */ + public final MpfrBigNum distance_squared(MpfrBigNumComplex z) { + + MpfrBigNum temp_re = re.sub(z.re); + MpfrBigNum temp_im = im.sub(z.im); + temp_re.square(temp_re); + temp_im.square(temp_im); + temp_re.add(temp_im, temp_re); + return temp_re; + + } + + /* + * |z1 - z2|^2 + */ + public final MpfrBigNum distance_squared(MpfrBigNum rootRe) { + + MpfrBigNum temp_re = re.sub(rootRe); + temp_re.square(temp_re); + temp_re.add(im.square(), temp_re); + return temp_re; + + } + + /* + * |z1 - z2| + */ + public final MpfrBigNum distance(MpfrBigNumComplex z) { + + MpfrBigNum temp_re = re.sub(z.re); + MpfrBigNum temp_im = im.sub(z.im); + temp_re.square(temp_re); + temp_im.square(temp_im); + temp_re.add(temp_im, temp_re); + temp_re.sqrt(temp_re); + return temp_re; + + } + + /* + * |z1 - z2| + */ + public final MpfrBigNum distance(MpfrBigNum rootRe) { + + MpfrBigNum temp_re = re.sub(rootRe); + temp_re.square(temp_re); + temp_re.add(im.square(), temp_re); + temp_re.sqrt(temp_re); + return temp_re; + + } + + /* + * |Real| + */ + public final MpfrBigNum getAbsRe() { + + return re.abs(); + + } + + /* + * |Imaginary| + */ + public final MpfrBigNum getAbsIm() { + + return im.abs(); + + } + + /* + * |Re(z)| + Im(z)i + */ + public final MpfrBigNumComplex absre() { + + return new MpfrBigNumComplex(re.abs(), new MpfrBigNum(im)); + + } + + public final MpfrBigNumComplex absre_mutable() { + + re.abs(re); + return this; + + } + + /* + * Re(z) + |Im(z)|i + */ + public final MpfrBigNumComplex absim() { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.abs()); + + } + + public final MpfrBigNumComplex absim_mutable() { + + im.abs(im); + return this; + + } + + /* + * Real -Imaginary i, mutable + */ + @Override + public final MpfrBigNumComplex conjugate() { + + im.negate(im); + return this; + + } + + public final MpfrBigNumComplex conjugate_non_mutable() { + + return new MpfrBigNumComplex(new MpfrBigNum(re), im.negate()); + + } + + /* + * -z + */ + @Override + public final MpfrBigNumComplex negative() { + + return new MpfrBigNumComplex(re.negate(), im.negate()); + + } + + @Override + public final MpfrBigNumComplex negative_mutable() { + + re.negate(re); + im.negate(im); + return this; + + } + + /* + * z^3 + */ + @Override + public final MpfrBigNumComplex cube() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + MpfrBigNum tempRe = temp2.mult(3); + temp.sub(tempRe, tempRe); + tempRe.mult(re, tempRe); + + MpfrBigNum tempIm = temp.mult(3); + tempIm.sub(temp2, tempIm); + tempIm.mult(im, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex cube_mutable() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + MpfrBigNum tempRe = temp2.mult(3); + temp.sub(tempRe, tempRe); + tempRe.mult(re, re); + + MpfrBigNum tempIm = temp.mult(3); + tempIm.sub(temp2, tempIm); + tempIm.mult(im, im); + + return this; + + } + + /* + * z^4 + */ + @Override + public final MpfrBigNumComplex fourth() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + temp.mult(temp.sub(temp2.mult(6))).add(temp2.square()); + + MpfrBigNum tempRe = temp2.mult(6); + temp.sub(tempRe, tempRe); + temp.mult(tempRe, tempRe); + tempRe.add(temp2.square(), tempRe); + + MpfrBigNum tempIm = re.mult(im); + tempIm.mult4(tempIm); + tempIm.mult(temp.sub(temp2), tempIm); + + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex fourth_mutable() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + temp.mult(temp.sub(temp2.mult(6))).add(temp2.square()); + + MpfrBigNum tempRe = temp2.mult(6); + temp.sub(tempRe, tempRe); + temp.mult(tempRe, tempRe); + tempRe.add(temp2.square(), tempRe); + + MpfrBigNum tempIm = re.mult(im); + tempIm.mult4(tempIm); + tempIm.mult(temp.sub(temp2), im); + + re = tempRe; + + + return this; + + } + + + /* + * z^5 + */ + @Override + public final MpfrBigNumComplex fifth() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + MpfrBigNum tempRe = temp.mult(10); + temp2.mult(5).sub(tempRe, tempRe); + temp2.mult(tempRe, tempRe); + temp.square().add(tempRe, tempRe); + re.mult(tempRe, tempRe); + + MpfrBigNum tempIm = temp2.mult(10); + temp.mult(5).sub(tempIm, tempIm); + temp.mult(tempIm, tempIm); + temp2.square().add(tempIm, tempIm); + im.mult(tempIm, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex fifth_mutable() { + + MpfrBigNum temp = re.square(); + MpfrBigNum temp2 = im.square(); + + MpfrBigNum tempRe = temp.mult(10); + temp2.mult(5).sub(tempRe, tempRe); + temp2.mult(tempRe, tempRe); + temp.square().add(tempRe, tempRe); + re.mult(tempRe, tempRe); + + MpfrBigNum tempIm = temp2.mult(10); + temp.mult(5).sub(tempIm, tempIm); + temp.mult(tempIm, tempIm); + temp2.square().add(tempIm, tempIm); + im.mult(tempIm, im); + + re = tempRe; + + return this; + + } + + /* + * abs(z) + */ + public final MpfrBigNumComplex abs_non_mutable() { + + return new MpfrBigNumComplex(re.abs(), im.abs()); + + } + + /* + * abs(z), mutable + */ + @Override + public final MpfrBigNumComplex abs() { + + re.abs(re); + im.abs(im); + return this; + + } + + /* more efficient z^2 + c */ + public final MpfrBigNumComplex square_plus_c(MpfrBigNumComplex c) { + + MpfrBigNum temp = re.mult(im); + + return new MpfrBigNumComplex(re.add(im).mult(re.sub(im)).add(c.re), temp.mult2().add(c.im)); + + } + + @Override + public final String toString() { + + String temp = ""; + + if(im.isPositive()) { + temp = re.doubleValue() + "+" + im.doubleValue() + "i"; + } + else if (im.isZero()) { + temp = re.doubleValue() + "+" + (0.0) + "i"; + } else { + temp = re.doubleValue() + "" + im.doubleValue() + "i"; + } + + return temp; + + } + + /* + * z1 - z2 + */ + @Override + public final MpfrBigNumComplex sub(GenericComplex zn) { + MpfrBigNumComplex z = (MpfrBigNumComplex)zn; + + return new MpfrBigNumComplex(re.sub(z.re), im.sub(z.im)); + + } + + + /* + * z1 = z1 - z2 + */ + @Override + public final MpfrBigNumComplex sub_mutable(GenericComplex zn) { + MpfrBigNumComplex z = (MpfrBigNumComplex)zn; + + re = re.sub(z.re, re); + im = im.sub(z.im, im); + + return this; + + } + + /* + * z1 + z2 + */ + @Override + public final MpfrBigNumComplex plus(GenericComplex zn) { + + MpfrBigNumComplex z = (MpfrBigNumComplex)zn; + return new MpfrBigNumComplex(re.add(z.re), im.add(z.im)); + + } + + /* + * z1 = z1 + z2 + */ + @Override + public final MpfrBigNumComplex plus_mutable(GenericComplex zn) { + + MpfrBigNumComplex z = (MpfrBigNumComplex)zn; + + re = re.add(z.re, re); + im = im.add(z.im, im); + + return this; + + } + + /* more efficient z^2 + c, Mutable for performance */ + @Override + public final MpfrBigNumComplex square_plus_c(GenericComplex cn) { + + MpfrBigNumComplex c = (MpfrBigNumComplex)cn; + + MpfrBigNum temp = re.mult(im); + temp.mult2(temp); + temp.add(c.im, temp); + + + MpfrBigNum temp2 = new MpfrBigNum(re); + temp2.add(im, temp2); + + MpfrBigNum temp3 = re.sub(im); + + temp2.mult(temp3, temp2); + temp2.add(c.re, temp2); + + return new MpfrBigNumComplex(temp2, temp); + + } + + /* + * z1 * z2 + */ + @Override + public final MpfrBigNumComplex times(GenericComplex zn) { + MpfrBigNumComplex z = (MpfrBigNumComplex)zn; + + MpfrBigNum tempRe = re.mult(z.re); + MpfrBigNum tempRe2 = im.mult(z.im); + tempRe.sub(tempRe2, tempRe); + + MpfrBigNum tempIm = re.mult(z.im); + MpfrBigNum tempIm2 = im.mult(z.re); + tempIm.add(tempIm2, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + /* + * z1 = z1 * z2 + */ + public final MpfrBigNumComplex times_mutable(MpfrBigNumComplex z, MpfrBigNum tempRe, MpfrBigNum tempIm) { + + re.mult(z.re, tempRe); + im.mult(z.im, tempIm); + tempRe.sub(tempIm, tempRe); + + re.mult(z.im, re); + im.mult(z.re, im); + im.add(re, im); + + re.set(tempRe); + + return this; + + } + + /* + * z1 / z2 + */ + public final MpfrBigNumComplex divide(MpfrBigNumComplex z) { + + MpfrBigNum temp = z.re; + MpfrBigNum temp2 = z.im; + + MpfrBigNum temp3 = temp.square(); + MpfrBigNum temp4 = temp2.square(); + temp3.add(temp4, temp3); + + re.mult(temp, temp4); + MpfrBigNum temp5 = im.mult(temp2); + temp4.add(temp5, temp4); + temp4.divide(temp3, temp4); + + im.mult(temp, temp5); + MpfrBigNum temp6 = re.mult(temp2); + temp5.sub(temp6, temp5); + temp5.divide(temp3, temp5); + + return new MpfrBigNumComplex(temp4, temp5); + } + + public final MpfrBigNumComplex divide_mutable(MpfrBigNumComplex z) { + + MpfrBigNum temp = z.re; + MpfrBigNum temp2 = z.im; + + MpfrBigNum temp3 = temp.square(); + MpfrBigNum temp4 = temp2.square(); + temp3.add(temp4, temp3); + + re.mult(temp, temp4); + MpfrBigNum temp5 = im.mult(temp2); + temp4.add(temp5, temp4); + temp4.divide(temp3, temp4); + + im.mult(temp, im); + re.mult(temp2, temp5); + im.sub(temp5, im); + im.divide(temp3, im); + + re = temp4; + + return this; + } + + /* + * z / Real + */ + public final MpfrBigNumComplex divide(MpfrBigNum number) { + + return new MpfrBigNumComplex(re.divide(number), im.divide(number)); + + } + + public final MpfrBigNumComplex divide_mutable(MpfrBigNum number) { + re.divide(number, re); + im.divide(number, im); + return this; + } + + public final MpfrBigNumComplex divide(double number) { + + return new MpfrBigNumComplex(re.divide(number), im.divide(number)); + + } + + public final MpfrBigNumComplex divide_mutable(double number) { + re.divide(number, re); + im.divide(number, im); + return this; + } + + @Override + public final MpfrBigNumComplex divide(int number) { + + return new MpfrBigNumComplex(re.divide(number), im.divide(number)); + + } + + public final MpfrBigNumComplex divide_mutable(int number) { + re.divide(number, re); + im.divide(number, im); + return this; + } + + /* + * z1 / Imaginary + */ + public final MpfrBigNumComplex divide_i(MpfrBigNum number) { + + MpfrBigNum temp3 = number.square(); + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, tempIm); + tempIm.divide(temp3, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + public final MpfrBigNumComplex divide_i_mutable(MpfrBigNum number) { + + MpfrBigNum temp3 = number.square(); + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, im); + im.divide(temp3, im); + + re = tempRe; + + return this; + } + + public final MpfrBigNumComplex divide_i(double number) { + + double temp3 = number * number; + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, tempIm); + tempIm.divide(temp3, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + public final MpfrBigNumComplex divide_i_mutable(double number) { + + double temp3 = number * number; + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, im); + im.divide(temp3, im); + + re = tempRe; + + return this; + } + + public final MpfrBigNumComplex divide_i(int number) { + + int temp3 = number * number; + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, tempIm); + tempIm.divide(temp3, tempIm); + + return new MpfrBigNumComplex(tempRe, tempIm); + } + + public final MpfrBigNumComplex divide_i_mutable(int number) { + + int temp3 = number * number; + + MpfrBigNum tempRe = im.mult(number); + tempRe.add(re, tempRe); + tempRe.divide(temp3, tempRe); + + MpfrBigNum tempIm = re.mult(number); + im.sub(tempIm, im); + im.divide(temp3, im); + + re = tempRe; + + return this; + } + + /* + * Real / z + */ + public final MpfrBigNumComplex r_divide(MpfrBigNum number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + number.divide(reSqr, reSqr); + + MpfrBigNum tempIm = im.negate(); + tempIm.mult(reSqr, tempIm); + return new MpfrBigNumComplex(re.mult(reSqr), tempIm); + + } + + public final MpfrBigNumComplex r_divide_mutable(MpfrBigNum number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + number.divide(reSqr, reSqr); + + re.mult(reSqr, re); + im.negate(im); + im.mult(reSqr, im); + + return this; + + } + + public final MpfrBigNumComplex r_divide(double number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + MpfrBigNum tempIm = im.negate(); + tempIm.mult(reSqr, tempIm); + return new MpfrBigNumComplex(re.mult(reSqr), tempIm); + + } + + public final MpfrBigNumComplex r_divide_mutable(double number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + re.mult(reSqr, re); + im.negate(im); + im.mult(reSqr, im); + + return this; + + } + + public final MpfrBigNumComplex r_divide(int number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + MpfrBigNum tempIm = im.negate(); + tempIm.mult(reSqr, tempIm); + return new MpfrBigNumComplex(re.mult(reSqr), tempIm); + + } + + public final MpfrBigNumComplex r_divide_mutable(int number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + re.mult(reSqr, re); + im.negate(im); + im.mult(reSqr, im); + + return this; + + } + + /* + * Imaginary / z + */ + public final MpfrBigNumComplex i_divide(MpfrBigNum number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + number.divide(reSqr, reSqr); + + + return new MpfrBigNumComplex(im.mult(reSqr), re.mult(reSqr)); + + } + + public final MpfrBigNumComplex i_divide_mutable(MpfrBigNum number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + number.divide(reSqr, reSqr); + + im.mult(reSqr, im); + re.mult(reSqr, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + public final MpfrBigNumComplex i_divide(double number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + + return new MpfrBigNumComplex(im.mult(reSqr), re.mult(reSqr)); + + } + + public final MpfrBigNumComplex i_divide_mutable(double number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + im.mult(reSqr, im); + re.mult(reSqr, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + public final MpfrBigNumComplex i_divide(int number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + + return new MpfrBigNumComplex(im.mult(reSqr), re.mult(reSqr)); + + } + + public final MpfrBigNumComplex i_divide_mutable(int number) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.r_divide(number, reSqr); + + im.mult(reSqr, im); + re.mult(reSqr, re); + + MpfrBigNum temp = re; + re = im; + im = temp; + + return this; + + } + + /* + * lexicographical comparison between two complex numbers + * -1 when z1 > z2 + * 1 when z1 < z2 + * 0 when z1 == z2 + */ + public final int compare(MpfrBigNumComplex z2) { + + if(isNaN() || z2.isNaN()) { + return 2; + } + + int comparisonRe = re.compare(z2.re); + int comparisonIm = im.compare(z2.im); + + if (comparisonRe > 0) { + return -1; + } else if (comparisonRe < 0) { + return 1; + } else if (comparisonIm > 0) { + return -1; + } else if (comparisonIm < 0) { + return 1; + } else if (comparisonRe == 0 && comparisonIm == 0) { + return 0; + } + + return 2; + } + + /* + * lexicographical comparison between two complex numbers + * -1 when z1 > z2 + * 1 when z1 < z2 + * 0 when z1 == z2 + */ + @Override + public final int compare(GenericComplex z2c) { + + MpfrBigNumComplex z2 = (MpfrBigNumComplex)z2c; + + if(isNaN() || z2.isNaN()) { + return 2; + } + + int comparisonRe = re.compare(z2.re); + int comparisonIm = im.compare(z2.im); + + if (comparisonRe > 0) { + return -1; + } else if (comparisonRe < 0) { + return 1; + } else if (comparisonIm > 0) { + return -1; + } else if (comparisonIm < 0) { + return 1; + } else if (comparisonRe == 0 && comparisonIm == 0) { + return 0; + } + + return 2; + } + + public final MpfrBigNumComplex fold_right(MpfrBigNumComplex z2) { + + if(re.compare(z2.re) < 0) { + MpfrBigNum tempRe = z2.re.sub(re); + tempRe.mult2(tempRe); + re.add(tempRe, tempRe); + return new MpfrBigNumComplex(tempRe, new MpfrBigNum(im)); + } + return this; + + } + + public final MpfrBigNumComplex fold_left(MpfrBigNumComplex z2) { + + if(re.compare(z2.re) > 0) { + MpfrBigNum tempRe = re.sub(z2.re); + tempRe.mult2(tempRe); + re.sub(tempRe, tempRe); + return new MpfrBigNumComplex(tempRe, new MpfrBigNum(im)); + } + return this; + + } + + public final MpfrBigNumComplex fold_up(MpfrBigNumComplex z2) { + + if(im.compare(z2.im) < 0) { + MpfrBigNum tempIm = z2.im.sub(im); + tempIm.mult2(tempIm); + im.add(tempIm, tempIm); + return new MpfrBigNumComplex(new MpfrBigNum(re), tempIm); + } + return this; + + + } + + public final MpfrBigNumComplex fold_down(MpfrBigNumComplex z2) { + + if(im.compare(z2.im) > 0) { + MpfrBigNum tempIm = im.sub(z2.im); + tempIm.mult2(tempIm); + im.sub(tempIm, tempIm); + new MpfrBigNumComplex(new MpfrBigNum(re), tempIm); + } + + return this; + + } + + public final MpfrBigNumComplex inflection(MpfrBigNumComplex inf) { + + MpfrBigNumComplex diff = this.sub(inf); + + return inf.plus(diff.square_mutable()); + + } + + public final MpfrBigNumComplex shear(MpfrBigNumComplex sh) { + + return new MpfrBigNumComplex(re.add(im.mult(sh.re)), im.add(re.mult(sh.im))); + + } + + public final MpfrBigNumComplex shear_mutable(MpfrBigNumComplex sh) { + + MpfrBigNum tempRe = im.mult(sh.re); + tempRe.add(re, tempRe); + + im.add(re.mult(sh.im), im); + re = tempRe; + + return this; + + } + + /* + * y + xi + */ + public final MpfrBigNumComplex flip() { + + return new MpfrBigNumComplex(new MpfrBigNum(im), new MpfrBigNum(re)); + + } + + public final MpfrBigNumComplex flip_mutable() { + + MpfrBigNum temp = re; + re = im; + im = temp; + return this; + + } + + /* + * |z|^2 + */ + @Override + public final MpfrBigNum normSquared() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + return reSqr; + + } + + /* + * |z1 - z2|^2 + */ + @Override + public final MpfrBigNum distanceSquared(GenericComplex za) { + MpfrBigNumComplex z = (MpfrBigNumComplex) za; + + MpfrBigNum temp_re = re.sub(z.re); + MpfrBigNum temp_im = im.sub(z.im); + temp_re.square(temp_re); + temp_im.square(temp_im); + temp_re.add(temp_im, temp_re); + return temp_re; + + } + + @Override + public MpfrBigNumComplex times2() { + return new MpfrBigNumComplex(re.mult2(), im.mult2()); + } + + @Override + public MpfrBigNumComplex times2_mutable() { + re.mult2(re); + im.mult2(im); + return this; + } + + @Override + public MpfrBigNumComplex times4() { + return new MpfrBigNumComplex(re.mult4(), im.mult4()); + } + + public MpfrBigNumComplex times4_mutable() { + re.mult4(re); + im.mult4(im); + return this; + } + + public MpfrBigNumComplex divide2() { + return new MpfrBigNumComplex(re.divide2(), im.divide2()); + } + + public MpfrBigNumComplex divide2_mutable() { + + re.divide2(re); + im.divide2(im); + return this; + } + + public MpfrBigNumComplex divide4() { + return new MpfrBigNumComplex(re.divide4(), im.divide4()); + } + + public MpfrBigNumComplex divide4_mutable() { + + re.divide4(re); + im.divide4(im); + return this; + } + + + /* + * n-norm + */ + public final MpfrBigNum nnorm(MpfrBigNum n) { + + MpfrBigNum tempRe = re.abs(); + tempRe.pow(n, tempRe); + MpfrBigNum tempIm = im.abs(); + tempIm.pow(n, tempIm); + + tempRe.add(tempIm, tempRe); + tempRe.pow(n.reciprocal(), tempRe); + return tempRe; + + } + + /* + * exp(z) = exp(Re(z)) * (cos(Im(z)) + sin(Im(z))i) + */ + public final MpfrBigNumComplex exp() { + + MpfrBigNum temp = re.exp(); + + MpfrBigNum[] res = im.sin_cos(); + + return new MpfrBigNumComplex(temp.mult(res[1]), temp.mult(res[0])); + + } + + public final MpfrBigNumComplex exp_mutable() { + + MpfrBigNum temp = re.exp(); + + MpfrBigNum[] res = im.sin_cos(); + + temp.mult(res[1], re); + temp.mult(res[0], im); + return this; + + } + + /* + * log(z) = ln|z| + arctan(Im/Re)i + */ + public final MpfrBigNumComplex log() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.log(reSqr); + reSqr.divide2(reSqr); + + + return new MpfrBigNumComplex(reSqr, MpfrBigNum.atan2(im, re)); + + } + + public final MpfrBigNumComplex log_mutable() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.log(reSqr); + reSqr.divide2(reSqr); + + MpfrBigNum.atan2(im, re, im); + re = reSqr; + + return this; + + } + + + /* + * 1 / z + */ + public final MpfrBigNumComplex reciprocal() { + MpfrBigNum tempRe = re.square(); + MpfrBigNum tempIm = im.square(); + tempRe.add(tempIm, tempRe); + + im.negate(tempIm); + tempIm.divide(tempRe, tempIm); + + re.divide(tempRe, tempRe); + + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex reciprocal_mutable() { + MpfrBigNum tempRe = re.square(); + MpfrBigNum tempIm = im.square(); + tempRe.add(tempIm, tempRe); + + im.negate(im); + im.divide(tempRe, im); + + re.divide(tempRe, re); + + return this; + + } + + /* + * sin(z) = (exp(iz) - exp(-iz)) / 2i + */ + public final MpfrBigNumComplex sin() { + + MpfrBigNum temp = im.negate(); + temp.exp(temp); + + MpfrBigNum[] res = re.sin_cos(); + MpfrBigNum cos_re = res[1]; + MpfrBigNum sin_re = res[0]; + + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + temp.reciprocal(temp); + + sin_re.negate(sin_re); + MpfrBigNumComplex temp4 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + return (temp2.sub_mutable(temp4)).times_i_mutable(-0.5); + + } + + /* + * cos(z) = (exp(iz) + exp(-iz)) / 2 + */ + public final MpfrBigNumComplex cos() { + + MpfrBigNum temp = im.negate(); + temp.exp(temp); + + MpfrBigNum[] res = re.sin_cos(); + MpfrBigNum cos_re = res[1]; + MpfrBigNum sin_re = res[0]; + + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + temp.reciprocal(temp); + + sin_re.negate(sin_re); + MpfrBigNumComplex temp4 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + return (temp2.plus_mutable(temp4)).divide2_mutable(); + + } + + /* + * tan(z) = (1 - exp(-2zi)) / i(1 + exp(-2zi)) + */ + public final MpfrBigNumComplex tan() { + + MpfrBigNum temp = im.mult2(); + temp.exp(temp); + + MpfrBigNum temp3 = re.mult2(); + + MpfrBigNum[] res = temp3.sin_cos(); + + MpfrBigNum cos_re = res[1]; + MpfrBigNum sin_re = res[0]; + sin_re.negate(sin_re); + + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + return (temp2.r_sub(1)).divide_mutable((temp2.plus(1)).times_i_mutable(1)); + + } + + /* + * cot(z) = i(1 + exp(-2zi)) / (1 - exp(-2zi)) + */ + public final MpfrBigNumComplex cot() { + + MpfrBigNum temp = im.mult2(); + temp.exp(temp); + + MpfrBigNum temp3 = re.mult2(); + + MpfrBigNum[] res = temp3.sin_cos(); + + MpfrBigNum cos_re = res[1]; + MpfrBigNum sin_re = res[0]; + + sin_re.negate(sin_re); + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_re), temp.mult(sin_re)); + + return (temp2.times_i(1).plus_i_mutable(1)).divide_mutable(temp2.r_sub(1)); + + } + + /* + * csc(z) = 1 / sin(z) + */ + public final MpfrBigNumComplex csc() { + + return this.sin().reciprocal_mutable(); + + } + + /* + * cosh(z) = (exp(z) + exp(-z)) / 2 + */ + public final MpfrBigNumComplex cosh() { + + MpfrBigNum temp = re.exp(); + + MpfrBigNum[] res = im.sin_cos(); + + MpfrBigNum cos_im = res[1]; + MpfrBigNum sin_im = res[0]; + + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + temp.reciprocal(temp); + sin_im.negate(sin_im); + MpfrBigNumComplex temp4 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + return (temp2.plus_mutable(temp4)).divide2_mutable(); + + } + + /* + * coth(z) = (1 + exp(-2z)) / (1 - exp(-2z)) + */ + public final MpfrBigNumComplex coth() { + + MpfrBigNum temp = re.mult2(); + temp.negate(temp); + temp.exp(temp); + + MpfrBigNum temp3 = im.mult2(); + + MpfrBigNum[] res = temp3.sin_cos(); + + MpfrBigNum cos_im = res[1]; + MpfrBigNum sin_im = res[0]; + + sin_im.negate(sin_im); + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + return (temp2.plus(1)).divide_mutable(temp2.r_sub(1)); + + } + + /* + * sech(z) = 1 / cosh(z) + */ + public final MpfrBigNumComplex sech() { + + return this.cosh().reciprocal_mutable(); + + } + + /* + * csch(z) = 1 / sinh(z) + */ + public final MpfrBigNumComplex csch() { + + return this.sinh().reciprocal_mutable(); + + } + + /* + * sec(z) = 1 / cos(z) + */ + public final MpfrBigNumComplex sec() { + + return this.cos().reciprocal_mutable(); + + } + + /* + * sinh(z) = (exp(z) - exp(-z)) / 2 + */ + public final MpfrBigNumComplex sinh() { + + MpfrBigNum temp = re.exp(); + + MpfrBigNum[] res = im.sin_cos(); + + MpfrBigNum cos_im = res[1]; + MpfrBigNum sin_im = res[0]; + + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + temp.reciprocal(temp); + sin_im.negate(sin_im); + MpfrBigNumComplex temp4 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + return (temp2.sub_mutable(temp4)).divide2_mutable(); + + + } + + /* + * tahn(z) = (1 - exp(-2z)) / (1 + exp(-2z)) + */ + public final MpfrBigNumComplex tanh() { + + MpfrBigNum temp = re.mult2(); + temp.negate(temp); + temp.exp(temp); + + MpfrBigNum temp3 = im.mult2(); + + MpfrBigNum[] res = temp3.sin_cos(); + + MpfrBigNum cos_im = res[1]; + MpfrBigNum sin_im = res[0]; + + sin_im.negate(sin_im); + MpfrBigNumComplex temp2 = new MpfrBigNumComplex(temp.mult(cos_im), temp.mult(sin_im)); + + return (temp2.r_sub(1)).divide_mutable(temp2.plus(1)); + + } + + + /* + * acot(z) = (i / 2)log((z^2 - iz) / (z^2 + iz)) + */ + public final MpfrBigNumComplex acot() { + + MpfrBigNumComplex temp = this.times_i(1); + MpfrBigNumComplex temp2 = this.square(); + + return ((temp2.sub(temp)).divide_mutable(temp2.plus(temp))).log_mutable().times_i_mutable(0.5); + + } + + /* + * asin(z) =-ilog(iz + sqrt(1 - z^2)) + */ + public final MpfrBigNumComplex asin() { + + return this.times_i(1).plus_mutable((this.square().r_sub_mutable(1)).sqrt_mutable()).log_mutable().times_i_mutable(-1); + + } + + /* + * asec(z) = pi / 2 + ilog(sqrt(1 - 1 / z^2) + i / z) + */ + public final MpfrBigNumComplex asec() { + + return (((this.square().reciprocal_mutable()).r_sub_mutable(1).sqrt_mutable()).plus_mutable(this.i_divide(1))).log_mutable().times_i_mutable(1).plus_mutable(MpfrBigNum.HALF_PI); + + } + + /* + * atan(z) = (i / 2)log((1 - iz) / (iz + 1)) + */ + public final MpfrBigNumComplex atan() { + + MpfrBigNumComplex temp = this.times_i(1); + + return ((temp.r_sub(1)).divide_mutable(temp.plus(1))).log_mutable().times_i_mutable(0.5); + + } + + /* + * acos(z) = pi / 2 + ilog(iz + sqrt(1 - z^2)) + */ + public final MpfrBigNumComplex acos() { + + return this.asin().r_sub_mutable(MpfrBigNum.HALF_PI); + + } + + /* + * atanh(z) = (1 / 2)log((z + 1) / (1 - z)) + */ + public final MpfrBigNumComplex atanh() { + + return ((this.plus(1)).divide_mutable(this.r_sub(1))).log_mutable().divide2_mutable(); + + } + + /* + * acsch(z) = log(sqrt(1 / z^2 + 1) + 1 / z) + */ + public final MpfrBigNumComplex acsch() { + + return (((this.square().reciprocal_mutable()).plus_mutable(1).sqrt_mutable()).plus_mutable(this.reciprocal())).log_mutable(); + + } + + /* + * acsc(z) = -ilog(sqrt(1 - 1 / z^2) + i / z) + */ + public final MpfrBigNumComplex acsc() { + + return (((this.square().reciprocal_mutable()).r_sub_mutable(1).sqrt_mutable()).plus_mutable(this.i_divide(1))).log_mutable().times_i_mutable(-1); + + } + + /* + * asech(z) = log(sqrt(1 / z^2 - 1) + 1 / z) + */ + public final MpfrBigNumComplex asech() { + + return (((this.square().reciprocal_mutable()).sub_mutable(1).sqrt_mutable()).plus_mutable(this.reciprocal())).log_mutable(); + + } + + /* + * asinh(z) = log(z + sqrt(z^2 + 1)) + */ + public final MpfrBigNumComplex asinh() { + + return this.plus((this.square().plus_mutable(1)).sqrt_mutable()).log_mutable(); + + } + + /* + * acoth(z) = (1 / 2)log((1 + 1/z) / (1 - 1/z)) + */ + public final MpfrBigNumComplex acoth() { + + MpfrBigNumComplex temp = this.reciprocal(); + + return ((temp.plus(1)).divide_mutable(temp.r_sub(1))).log_mutable().divide2_mutable(); + + } + + /* + * acosh(z) = log(z + sqrt(z^2 - 1)) + */ + public final MpfrBigNumComplex acosh() { + + return this.plus((this.square().sub_mutable(1)).sqrt_mutable()).log_mutable(); + + } + + public final MpfrBigNumComplex fold_out(MpfrBigNumComplex z2) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + + return reSqr.compare(z2.norm_squared()) > 0 ? this.divide(reSqr) : this; + + } + + public final MpfrBigNumComplex fold_in(MpfrBigNumComplex z2) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + + return reSqr.compare(z2.norm_squared()) < 0 ? this.divide(reSqr) : this; + + } + + public final MpfrBigNumComplex circle_inversion(MpfrBigNumComplex center, MpfrBigNum radius) { + + MpfrBigNum distance = this.distance_squared(center); + MpfrBigNum radius2 = radius.square(); + + radius2.divide(distance, radius2); + + MpfrBigNum tempRe = re.sub(center.re); + tempRe.add(center.re, tempRe); + tempRe.mult(radius2, tempRe); + + MpfrBigNum tempIm = im.sub(center.im); + tempIm.add(center.im, tempIm); + tempIm.mult(radius2, tempIm); + return new MpfrBigNumComplex(tempRe, tempIm); + + } + + public final MpfrBigNumComplex toBiPolar(MpfrBigNumComplex a) { + + return this.divide2().cot().times_mutable(a).times_i_mutable(1); + + } + + public final MpfrBigNumComplex fromBiPolar(MpfrBigNumComplex a) { + + return this.divide(a.times_i(1)).acot().times2_mutable(); + + } + + @Override + public MantExpComplex toMantExpComplex() { return new MantExpComplex(this);} + + public boolean isZero() { + return re.isZero() && im.isZero(); + } + public boolean isOne() { + return re.isOne() && im.isZero(); + } + + @Override + public void set(GenericComplex za) { + MpfrBigNumComplex z = (MpfrBigNumComplex) za; + re.set(z.re); + im.set(z.im); + } + + /* + * z1 ^ z2 = exp(z2 * log(z1)) + */ + public final MpfrBigNumComplex pow(MpfrBigNumComplex z) { + + return (z.times(this.log())).exp(); + + } + + /* + * z^n + */ + public final MpfrBigNumComplex pow(double exponent) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.pow(new MpfrBigNum(exponent * 0.5), reSqr); + + MpfrBigNum temp2 = MpfrBigNum.atan2(im, re); + temp2.mult(exponent, temp2); + + MpfrBigNum[] res = temp2.sin_cos(); + + return new MpfrBigNumComplex(reSqr.mult(res[1]), reSqr.mult(res[0])); + + } + + /* + * z^n + */ + public final MpfrBigNumComplex pow_mutable(double exponent) { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.pow(new MpfrBigNum(exponent * 0.5), reSqr); + + MpfrBigNum temp2 = MpfrBigNum.atan2(im, re); + temp2.mult(exponent, temp2); + + MpfrBigNum[] res = temp2.sin_cos(); + + reSqr.mult(res[1], re); + reSqr.mult(res[0], im); + + return this; + + } + + /* + * sqrt(z) = z^0.5 + */ + public final MpfrBigNumComplex sqrt() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.pow(new MpfrBigNum(0.25), reSqr); + + MpfrBigNum temp2 = MpfrBigNum.atan2(im, re); + temp2.divide2(temp2); + + MpfrBigNum[] res = temp2.sin_cos(); + + return new MpfrBigNumComplex(reSqr.mult(res[1]), reSqr.mult(res[0])); + + } + + /* + * z = sqrt(z) = z^0.5 + */ + public final MpfrBigNumComplex sqrt_mutable() { + + MpfrBigNum reSqr = re.square(); + MpfrBigNum imSqr = im.square(); + reSqr.add(imSqr, reSqr); + reSqr.pow(new MpfrBigNum(0.25), reSqr); + + MpfrBigNum temp2 = MpfrBigNum.atan2(im, re); + temp2.divide2(temp2); + + MpfrBigNum[] res = temp2.sin_cos(); + + reSqr.mult(res[1], re); + reSqr.mult(res[0], im); + + return this; + + } + + public boolean isNaN() { + if(re.isNaN() || im.isNaN()) { + return true; + } + return false; + } + + /* + * versine(z) = 1 - cos(z) + */ + public final MpfrBigNumComplex vsin() { + + return this.cos().r_sub_mutable(1); + + } + + /* + * arc versine(z) = acos(1 - z) + */ + public final MpfrBigNumComplex avsin() { + + return this.r_sub(1).acos(); + + } + + /* + * vercosine(z) = 1 + cos(z) + */ + public final MpfrBigNumComplex vcos() { + + return this.cos().plus_mutable(1); + + } + + /* + * arc vercosine(z) = acos(1 + z) + */ + public final MpfrBigNumComplex avcos() { + + return this.plus(1).acos(); + + } + + /* + * coversine(z) = 1 - sin(z) + */ + public final MpfrBigNumComplex cvsin() { + + return this.sin().r_sub_mutable(1); + + } + + /* + * arc coversine(z) = asin(1 - z) + */ + public final MpfrBigNumComplex acvsin() { + + return this.r_sub(1).asin(); + + } + + /* + * covercosine(z) = 1 + sin(z) + */ + public final MpfrBigNumComplex cvcos() { + + return this.sin().plus_mutable(1); + + } + + /* + * arc covercosine(z) = asin(1 + z) + */ + public final MpfrBigNumComplex acvcos() { + + return this.plus(1).asin(); + + } + + /* + * haversine(z) = versine(z) / 2 + */ + public final MpfrBigNumComplex hvsin() { + + return this.vsin().divide2_mutable(); + + } + + /* + * arc haversine(z) = 2 * asin(sqrt(z)) + */ + public final MpfrBigNumComplex ahvsin() { + + return this.sqrt().asin().times2_mutable(); + + } + + /* + * havercosine(z) = vercosine(z) / 2 + */ + public final MpfrBigNumComplex hvcos() { + + return this.vcos().divide2_mutable(); + + } + + /* + * arc havercosine(z) = 2 * acos(sqrt(z)) + */ + public final MpfrBigNumComplex ahvcos() { + + return this.sqrt().acos().times2_mutable(); + + } + + /* + * hacoversine(z) = coversine(z) / 2 + */ + public final MpfrBigNumComplex hcvsin() { + + return this.cvsin().divide2_mutable(); + + } + + /* + * arc hacoversine(z) = asin(1 - 2*z) + */ + public final MpfrBigNumComplex ahcvsin() { + + return this.times2().r_sub_mutable(1).asin(); + + } + + /* + * hacovercosine(z) = covercosine(z) / 2 + */ + public final MpfrBigNumComplex hcvcos() { + + return this.cvcos().divide2_mutable(); + + } + + /* + * arc hacovercosine(z) = asin(-1 - 2*z) + */ + public final MpfrBigNumComplex ahcvcos() { + + return this.times(-2).r_sub_mutable(1).asin(); + + } + + /* + * exsecant(z) = sec(z) - 1 + */ + public final MpfrBigNumComplex exsec() { + + return this.sec().sub_mutable(1); + + } + + /* + * arc exsecant(z) = asec(z + 1) + */ + public final MpfrBigNumComplex aexsec() { + + return this.plus(1).asec(); + + } + + /* + * excosecant(z) = csc(z) - 1 + */ + public final MpfrBigNumComplex excsc() { + + return this.csc().sub_mutable(1); + + } + + /* + * arc excosecant(z) = acsc(z + 1) + */ + public final MpfrBigNumComplex aexcsc() { + + return this.plus(1).acsc(); + + } + + /*s + * z1 / z2 + */ + @Override + public final MpfrBigNumComplex divide(GenericComplex za) { + MpfrBigNumComplex z = (MpfrBigNumComplex)za; + + MpfrBigNum temp = z.re; + MpfrBigNum temp2 = z.im; + + MpfrBigNum temp3 = temp.square(); + MpfrBigNum temp4 = temp2.square(); + temp3.add(temp4, temp3); + + re.mult(temp, temp4); + MpfrBigNum temp5 = im.mult(temp2); + temp4.add(temp5, temp4); + temp4.divide(temp3, temp4); + + im.mult(temp, temp5); + MpfrBigNum temp6 = re.mult(temp2); + temp5.sub(temp6, temp5); + temp5.divide(temp3, temp5); + + return new MpfrBigNumComplex(temp4, temp5); + } + + @Override + public final MpfrBigNumComplex divide_mutable(GenericComplex za) { + MpfrBigNumComplex z = (MpfrBigNumComplex)za; + + MpfrBigNum temp = z.re; + MpfrBigNum temp2 = z.im; + + MpfrBigNum temp3 = temp.square(); + MpfrBigNum temp4 = temp2.square(); + temp3.add(temp4, temp3); + + re.mult(temp, temp4); + MpfrBigNum temp5 = im.mult(temp2); + temp4.add(temp5, temp4); + temp4.divide(temp3, temp4); + + im.mult(temp, im); + re.mult(temp2, temp5); + im.sub(temp5, im); + im.divide(temp3, im); + + re = temp4; + + return this; + } + + @Override + public final MpfrBigNumComplex times_mutable(GenericComplex za) { + MpfrBigNumComplex z = (MpfrBigNumComplex)za; + + MpfrBigNum tempRe = new MpfrBigNum(re); + MpfrBigNum tempIm = new MpfrBigNum(im); + + tempRe = tempRe.mult(z.re, tempRe); + tempIm = tempIm.mult(z.im, tempIm); + tempRe = tempRe.sub(tempIm, tempRe); + + re.mult(z.im, re); + im.mult(z.re, im); + im.add(re, im); + + re = tempRe; + + return this; + + } + + +} diff --git a/src/fractalzoomer/core/MyApfloat.java b/src/fractalzoomer/core/MyApfloat.java index 8865530a6..2cb3b378b 100644 --- a/src/fractalzoomer/core/MyApfloat.java +++ b/src/fractalzoomer/core/MyApfloat.java @@ -1,62 +1,112 @@ package fractalzoomer.core; +import fractalzoomer.core.mpfr.MpfrBigNum; import fractalzoomer.main.app_settings.Settings; import org.apfloat.Apfloat; import org.apfloat.ApfloatMath; +import org.apfloat.Apint; import org.apfloat.FixedPrecisionApfloatHelper; +import java.math.BigDecimal; + public class MyApfloat extends Apfloat { - public static int precision; + public static long precision; public static Apfloat PI; public static Apfloat TWO_PI; - public static Apfloat TWO; - public static Apfloat ONE; - public static Apfloat ZERO; + public static Apint TWO; + public static Apint ONE; + public static Apint THREE; + public static Apint FOUR; + public static Apint FIVE; + public static Apint SIX; + public static Apint SEVEN; + public static Apint EIGHT; + public static Apint TEN; + public static Apint TWELVE; + public static Apint SIXTEEN; + public static Apint TWENTYFOUR; + public static Apint THIRTYTWO; + public static Apint ZERO; public static Apfloat SQRT_TWO; + public static Apfloat LOG_TWO; public static Apfloat RECIPROCAL_LOG_TWO_BASE_TEN; public static Apfloat E; public static Apfloat MAX_DOUBLE_SIZE; public static Apfloat MIN_DOUBLE_SIZE; + public static Apfloat MIN_DOUBLE_DOUBLE_SIZE; public static Apfloat SA_START_SIZE; public static Apfloat NEGATIVE_INFINITY = new Apfloat("-1e5000000000"); public static FixedPrecisionApfloatHelper fp; + public static long precHeadRoom = 30; + + public static boolean setAutomaticPrecision = true; + + public static long getAutomaticPrecision(String value) { + Apfloat val = new Apfloat(value, 10000); //Hopefully that is enough + return Math.abs(val.scale()) + precHeadRoom + 1; // + 30 for some headroom + } + + public static long getAutomaticPrecision(double value) { + Apfloat val = new Apfloat(new BigDecimal(value), 10000); //Hopefully that is enough + return Math.abs(val.scale()) + precHeadRoom + 1; // + 30 for some headroom + } + public static boolean shouldSetPrecision(long newPrecision, boolean checkForDecrease) { + return (newPrecision > precision) || (checkForDecrease && newPrecision < (precision - (precHeadRoom << 1))); + } + + public static boolean shouldIncreasePrecision(Apfloat val) { + return Math.abs(val.scale()) + 1 > precision - 10; + } + + public static void increasePrecision(Settings s) { + setPrecision(precision + precHeadRoom, s); + } static { precision = 300; fp = new FixedPrecisionApfloatHelper(precision); PI = fp.pi(); - TWO = new MyApfloat(2); - ONE = new MyApfloat(1); - ZERO = new MyApfloat(0); + TWO = new Apint(2); + ONE = Apint.ONE; + THREE = new Apint(3); + SIX = new Apint(6); + FOUR = new Apint(4); + FIVE = new Apint(5); + SEVEN = new Apint(7); + EIGHT = new Apint(8); + TEN = new Apint(10); + ZERO = Apint.ZERO; + TWELVE = new Apint(12); + SIXTEEN = new Apint(16); + TWENTYFOUR = new Apint(24); + THIRTYTWO = new Apint(32); E = fp.exp(ONE); TWO_PI = fp.multiply(PI, TWO); SQRT_TWO = fp.sqrt(TWO); - Apfloat logTwo = fp.log(TWO); - Apfloat ten = new MyApfloat(10.0); - RECIPROCAL_LOG_TWO_BASE_TEN = MyApfloat.reciprocal(fp.divide(logTwo, fp.log(ten))); - MAX_DOUBLE_SIZE = new MyApfloat("1.0e-304"); - MIN_DOUBLE_SIZE = new MyApfloat("1.0e-13"); - SA_START_SIZE = new MyApfloat("1.0e-5"); - BigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(ten, precision)), logTwo).doubleValue() : ThreadDraw.BIGNUM_PRECISION); + LOG_TWO = fp.log(TWO); + RECIPROCAL_LOG_TWO_BASE_TEN = MyApfloat.reciprocal(fp.divide(LOG_TWO, fp.log(TEN))); + MAX_DOUBLE_SIZE = new MyApfloat(1.0e-304); + MIN_DOUBLE_SIZE = new MyApfloat(1.0e-13); + MIN_DOUBLE_DOUBLE_SIZE = new MyApfloat(1.0e-28); + SA_START_SIZE = new MyApfloat(1.0e-5); + BigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue() : ThreadDraw.BIGNUM_PRECISION); + MpfrBigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue() : ThreadDraw.BIGNUM_PRECISION); } - public static void setPrecision(int prec, Settings s) { + public static void setPrecision(long prec, Settings s) { precision = prec; fp = new FixedPrecisionApfloatHelper(precision); PI = fp.pi(); - TWO = new MyApfloat(2); - ONE = new MyApfloat(1); - ZERO = new MyApfloat(0); E = fp.exp(ONE); TWO_PI = fp.multiply(PI, TWO); SQRT_TWO = fp.sqrt(TWO); - Apfloat logTwo = fp.log(TWO); - Apfloat ten = new MyApfloat(10); - RECIPROCAL_LOG_TWO_BASE_TEN = MyApfloat.reciprocal(fp.divide(logTwo, fp.log(ten))); - MAX_DOUBLE_SIZE = new MyApfloat("1.0e-304"); - MIN_DOUBLE_SIZE = new MyApfloat("1.0e-13"); - SA_START_SIZE = new MyApfloat("1.0e-5"); + LOG_TWO = fp.log(TWO); + RECIPROCAL_LOG_TWO_BASE_TEN = MyApfloat.reciprocal(fp.divide(LOG_TWO, fp.log(TEN))); + MAX_DOUBLE_SIZE = new MyApfloat(1.0e-304); + MIN_DOUBLE_SIZE = new MyApfloat(1.0e-13); + MIN_DOUBLE_DOUBLE_SIZE = new MyApfloat(1.0e-28); + SA_START_SIZE = new MyApfloat(1.0e-5); s.xCenter = s.xCenter.precision(MyApfloat.precision); s.yCenter = s.yCenter.precision(MyApfloat.precision); @@ -66,34 +116,25 @@ public static void setPrecision(int prec, Settings s) { s.fns.rotation_vals[0] = s.fns.rotation_vals[0].precision(MyApfloat.precision); s.fns.rotation_vals[1] = s.fns.rotation_vals[1].precision(MyApfloat.precision); - BigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(ten, precision)), logTwo).doubleValue() : ThreadDraw.BIGNUM_PRECISION); + BigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue() : ThreadDraw.BIGNUM_PRECISION); + MpfrBigNum.reinitialize(ThreadDraw.BIGNUM_AUTOMATIC_PRECISION ? fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue() : ThreadDraw.BIGNUM_PRECISION); } public static void setBigNumPrecision() { - TWO = new MyApfloat(2); - Apfloat logTwo = fp.log(TWO); - Apfloat ten = new MyApfloat(10.0); - BigNum.reinitialize(fp.divide(fp.log(fp.pow(ten, precision)), logTwo).doubleValue()); + BigNum.reinitialize(fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue()); + MpfrBigNum.reinitialize(fp.divide(fp.log(fp.pow(TEN, precision)), LOG_TWO).doubleValue()); } public MyApfloat(double value) { - super(value, precision); + super(new BigDecimal(value), precision); } - public MyApfloat(int value) { - super((double)value, precision); - } - - public MyApfloat(String value, int radix) { - super(value.trim(), precision, radix); - } - - public MyApfloat(double value, int radix) { - super(value, precision, radix); + public MyApfloat(long value) { + super(value, precision); } - public MyApfloat(int value, int radix) { - super((double)value, precision, radix); + public MyApfloat(int value) { + super(value, precision); } public MyApfloat(String value) { @@ -279,7 +320,7 @@ else if (intX <= -1) { baseVal = reciprocal(fp.pow(E, -intX)); } Apfloat fractionX = fp.subtract(x, new MyApfloat(intX)); - if (x.compareTo(new MyApfloat(0.0)) < 0) { + if (x.compareTo(ZERO) < 0) { // Much greater precision if all numbers in the series have the same sign. fractionX = fractionX.negate(); invert = true; @@ -421,6 +462,10 @@ public static String toStringPretty(Apfloat val, Apfloat size) { //return "" + val.doubleValue(); } + public static String toStringPretty(Apfloat val) { + return val.toString(true); + } + public static String truncateString(String s, int beginChars, int endChars) { int l = s.length(); if(l>beginChars+endChars) return s.substring(0,beginChars)+"..."+s.substring(l-endChars,l); @@ -447,6 +492,8 @@ public static void main(String[] args) { MyApfloat.precision = 1200; MyApfloat.fp = new FixedPrecisionApfloatHelper(MyApfloat.precision); + System.out.println(getAutomaticPrecision("1.26e-200")); + //Apfloat a = new MyApfloat("-1.99996619445037030418434688506350579675531241540724851511761922944801584242342684381376129778868913812287046406560949864353810575744772166485672496092803920095332"); //Apfloat b = new MyApfloat("+0.00000000000000000000000000000000030013824367909383240724973039775924987346831190773335270174257280120474975614823581185647299288414075519224186504978181625478529"); @@ -487,7 +534,7 @@ public static void main(String[] args) { System.out.println(System.currentTimeMillis() - time);*/ - /*Apfloat a = new MyApfloat("-1.99996619445037030418434688506350579675531241540724851511761922944801584242342684381376129778868913812287046406560949864353810575744772166485672496092803920095332"); + /* Apfloat a = new MyApfloat("-1.99996619445037030418434688506350579675531241540724851511761922944801584242342684381376129778868913812287046406560949864353810575744772166485672496092803920095332"); Apfloat b = new MyApfloat("+0.00000000000000000000000000000000030013824367909383240724973039775924987346831190773335270174257280120474975614823581185647299288414075519224186504978181625478529"); Apfloat c = new MyApfloat("8.99996619445037030418434688506350579675531241540724851511761922944801584242342684381376129778868913812287046406560949864353810575744772166485672496092803920095332"); @@ -499,26 +546,26 @@ public static void main(String[] args) { for(long i = 0; i < runs; i++) { - fp.pow(c, d); - MyApfloat.pow(c, d); + fp.exp(c); + MyApfloat.exp(c); } for(long i = 0; i < runs; i++) { - fp.pow(c, d); - MyApfloat.pow(c, d); + fp.exp(c); + MyApfloat.exp(c); } long time = System.currentTimeMillis(); for(long i = 0; i < runs; i++) { - fp.pow(c, d); + fp.exp(c); } System.out.println(System.currentTimeMillis() - time); time = System.currentTimeMillis(); for(long i = 0; i < runs; i++) { - MyApfloat.pow(c, d);; + MyApfloat.exp(c); } System.out.println(System.currentTimeMillis() - time);*/ diff --git a/src/fractalzoomer/core/ThreadDraw.java b/src/fractalzoomer/core/ThreadDraw.java index 3ccd8b937..eeb40b926 100644 --- a/src/fractalzoomer/core/ThreadDraw.java +++ b/src/fractalzoomer/core/ThreadDraw.java @@ -23,9 +23,11 @@ import fractalzoomer.core.iteration_algorithm.FractalIterationAlgorithm; import fractalzoomer.core.iteration_algorithm.IterationAlgorithm; import fractalzoomer.core.iteration_algorithm.JuliaIterationAlgorithm; -import fractalzoomer.core.location.CartesianLocation; import fractalzoomer.core.location.Location; -import fractalzoomer.core.location.PolarLocation; +import fractalzoomer.core.location.normal.CartesianLocationNormalApfloatArbitrary; +import fractalzoomer.core.location.normal.PolarLocationNormalApfloatArbitrary; +import fractalzoomer.core.mpfr.LibMpfr; +import fractalzoomer.core.mpfr.MpfrBigNum; import fractalzoomer.fractal_options.iteration_statistics.Equicontinuity; import fractalzoomer.fractal_options.iteration_statistics.GenericStatistic; import fractalzoomer.fractal_options.iteration_statistics.NormalMap; @@ -107,6 +109,7 @@ import fractalzoomer.functions.szegedi_butterfly.SzegediButterfly1; import fractalzoomer.functions.szegedi_butterfly.SzegediButterfly2; import fractalzoomer.functions.user_formulas.*; +import fractalzoomer.main.Constants; import fractalzoomer.main.ImageExpanderWindow; import fractalzoomer.main.MainWindow; import fractalzoomer.main.app_settings.*; @@ -231,9 +234,9 @@ public abstract class ThreadDraw extends Thread { private boolean gaussian_scaling; private double gaussian_weight; private int gaussian_kernel_size; - private static float vert[][][]; - private static float vert1[][][]; - private static float Norm1z[][][]; + private static float[][][] vert; + private static float[][][] vert1; + private static float[][][] Norm1z; private static float[] gaussian_kernel; private static float[][] temp_array; private double color_3d_blending; @@ -383,8 +386,11 @@ public abstract class ThreadDraw extends Thread { private TransferFunction color_transfer_incoloring; private Blending blending; private InterpolationMethod method; + + private GeneratedPaletteSettings gps; private int color_blending; private DomainColoring domain_color; + protected JitterSettings js; private double contourFactor; protected MainWindow ptr; private ImageExpanderWindow ptrExpander; @@ -395,7 +401,8 @@ public abstract class ThreadDraw extends Thread { private static String default_init_val; private static double convergent_bailout; public static int TILE_SIZE = 5; - private static int QUICK_DRAW_DELAY = 1500; //msec + public static int QUICK_DRAW_DELAY = 1500; //msec + public static boolean QUICK_DRAW_ZOOM_TO_CURRENT_CENTER = false; public static int SKIPPED_PIXELS_ALG = 0; public static int SKIPPED_PIXELS_COLOR = 0xFFFFFFFF; public static int[] gradient; @@ -410,12 +417,16 @@ public abstract class ThreadDraw extends Thread { public static boolean BIGNUM_AUTOMATIC_PRECISION = true; public static int BIGNUM_PRECISION = 996; public static int BIGNUM_PRECISION_FACTOR = 1; + public static int BIGNUM_LIBRARY = Constants.BIGNUM_AUTOMATIC; public static boolean USE_THREADS_FOR_SA = false; public static int BLA_BITS = 23; public static boolean USE_THREADS_FOR_BLA = true; public static boolean DETECT_PERIOD = false; public static boolean SCALED_ITERATIONS = true; public static int BLA_STARTING_LEVEL = 1; + public static int NANOMB1_N = 8; + public static int NANOMB1_M = 16; + public static final Random random = new Random(); static { @@ -438,39 +449,51 @@ public abstract class ThreadDraw extends Thread { } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsFractal(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, d3s, ptr, fractal_color, dem_color, image, fs, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, periodicity_checking, fns.plane_type, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.perturbation_user_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.initial_value_user_formula, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, ds, inverse_dem, quickDraw, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, fns.laguerre_deg, color_blending, ots, cns, fns.kleinianLine, fns.kleinianK, fns.kleinianM, post_processing_order, ls, pbs, sts, fns.gcs, fns.durand_kerner_init_val, fns.mps, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.gcps, fns.igs, fns.lfns, fns.newton_hines_k, fns.tcs, fns.lpns.lyapunovInitialValue, hss, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.root_initialization_method, fns.preffs, fns.postffs, fns.ips, fns.defaultNovaInitialValue, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor, fns.period); } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsFractalExpander(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, ptr, fractal_color, dem_color, image, fs, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, periodicity_checking, fns.plane_type, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.perturbation_user_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.initial_value_user_formula, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, ds, inverse_dem, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, fns.laguerre_deg, color_blending, ots, cns, fns.kleinianLine, fns.kleinianK, fns.kleinianM, post_processing_order, ls, pbs, sts, fns.gcs, fns.durand_kerner_init_val, fns.mps, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.gcps, fns.igs, fns.lfns, fns.newton_hines_k, fns.tcs, fns.lpns.lyapunovInitialValue, hss, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.root_initialization_method, fns.preffs, fns.postffs, fns.ips, fns.defaultNovaInitialValue, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor, fns.period); } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, double xJuliaCenter, double yJuliaCenter) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsJulia(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, d3s, ptr, fractal_color, dem_color, image, fs, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, periodicity_checking, fns.plane_type, fns.apply_plane_on_julia, fns.apply_plane_on_julia_seed, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, ds, inverse_dem, quickDraw, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, color_blending, ots, cns, post_processing_order, ls, pbs, sts, fns.gcs, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.laguerre_deg, fns.gcps, fns.lfns, fns.newton_hines_k, fns.tcs, hss, fns.lpns.lyapunovInitialValue, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.preffs, fns.postffs, fns.ips, fns.juliter, fns.juliterIterations, fns.juliterIncludeInitialIterations, fns.defaultNovaInitialValue, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.perturbation_user_formula, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.initial_value_user_formula, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor, xJuliaCenter, yJuliaCenter); } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, double xJuliaCenter, double yJuliaCenter) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsJuliaExpander(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, ptr, fractal_color, dem_color, image, fs, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, periodicity_checking, fns.plane_type, fns.apply_plane_on_julia, fns.apply_plane_on_julia_seed, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, ds, inverse_dem, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, color_blending, ots, cns, post_processing_order, ls, pbs, sts, fns.gcs, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.laguerre_deg, fns.gcps, fns.lfns, fns.newton_hines_k, fns.tcs, hss, fns.lpns.lyapunovInitialValue, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.preffs, fns.postffs, fns.ips, fns.juliter, fns.juliterIterations, fns.juliterIncludeInitialIterations, fns.defaultNovaInitialValue, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.perturbation_user_formula, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.initial_value_user_formula, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor, xJuliaCenter, yJuliaCenter); } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, boolean periodicity_checking, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsJuliaMap(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, ptr, fractal_color, dem_color, image, fs, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, periodicity_checking, fns.plane_type, fns.apply_plane_on_julia, fns.apply_plane_on_julia_seed, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, inverse_dem, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, color_blending, ots, cns, post_processing_order, ls, pbs, sts, fns.gcs, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.laguerre_deg, fns.gcps, fns.lfns, fns.newton_hines_k, fns.tcs, hss, fns.lpns.lyapunovInitialValue, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.preffs, fns.postffs, fns.ips, fns.juliter, fns.juliterIterations, fns.juliterIncludeInitialIterations, fns.defaultNovaInitialValue, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.perturbation_user_formula, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.initial_value_user_formula, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor); } - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, MainWindow ptr, Color fractal_color, Color dem_color, boolean fast_julia_filters, BufferedImage image, boolean periodicity_checking, FiltersSettings fs, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, double xJuliaCenter, double yJuliaCenter) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, FunctionSettings fns, MainWindow ptr, Color fractal_color, Color dem_color, boolean fast_julia_filters, BufferedImage image, boolean periodicity_checking, FiltersSettings fs, int color_cycling_location, int color_cycling_location2, boolean exterior_de, double exterior_de_factor, double height_ratio, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, int gradient_offset, HistogramColoringSettings hss, double contourFactor, GeneratedPaletteSettings gps, JitterSettings js, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { this.contourFactor = contourFactor; this.color_smoothing = fns.smoothing; + this.gps = gps; + this.js = js; settingsJuliaPreview(FROMx, TOx, FROMy, TOy, xCenter, yCenter, size, max_iterations, fns.bailout_test_algorithm, fns.bailout, fns.bailout_test_user_formula, fns.bailout_test_user_formula2, fns.bailout_test_comparison, fns.n_norm, ptr, fractal_color, dem_color, fast_julia_filters, image, periodicity_checking, fns.plane_type, fns.apply_plane_on_julia, fns.apply_plane_on_julia_seed, fns.out_coloring_algorithm, fns.user_out_coloring_algorithm, fns.outcoloring_formula, fns.user_outcoloring_conditions, fns.user_outcoloring_condition_formula, fns.in_coloring_algorithm, fns.user_in_coloring_algorithm, fns.incoloring_formula, fns.user_incoloring_conditions, fns.user_incoloring_condition_formula, fns.smoothing, fs, fns.burning_ship, fns.mandel_grass, fns.mandel_grass_vals, fns.function, fns.z_exponent, fns.z_exponent_complex, color_cycling_location, color_cycling_location2, fns.rotation_vals, fns.rotation_center, fns.coefficients, fns.z_exponent_nova, fns.relaxation, fns.nova_method, fns.user_formula, fns.user_formula2, fns.bail_technique, fns.user_plane, fns.user_plane_algorithm, fns.user_plane_conditions, fns.user_plane_condition_formula, fns.user_formula_iteration_based, fns.user_formula_conditions, fns.user_formula_condition_formula, exterior_de, exterior_de_factor, height_ratio, fns.plane_transform_center, fns.plane_transform_angle, fns.plane_transform_radius, fns.plane_transform_scales, fns.plane_transform_wavelength, fns.waveType, fns.plane_transform_angle2, fns.plane_transform_sides, fns.plane_transform_amount, fns.escaping_smooth_algorithm, fns.converging_smooth_algorithm, bms, polar_projection, circle_period, fdes, rps, fns.coupling, fns.user_formula_coupled, fns.coupling_method, fns.coupling_amplitude, fns.coupling_frequency, fns.coupling_seed, inverse_dem, color_intensity, transfer_function, color_intensity2, transfer_function2, usePaletteForInColoring, ens, ofs, gss, color_blending, ots, cns, post_processing_order, ls, pbs, sts, fns.gcs, fns.coefficients_im, fns.lpns.lyapunovFinalExpression, fns.lpns.useLyapunovExponent, gradient_offset, fns.lpns.lyapunovFunction, fns.lpns.lyapunovExponentFunction, fns.lpns.lyapunovVariableId, fns.user_fz_formula, fns.user_dfz_formula, fns.user_ddfz_formula, fns.user_dddfz_formula, fns.user_relaxation_formula, fns.user_nova_addend_formula, fns.laguerre_deg, fns.gcps, fns.lfns, fns.newton_hines_k, fns.tcs, hss, fns.lpns.lyapunovInitialValue, fns.lpns.lyapunovInitializationIteratons, fns.lpns.lyapunovskipBailoutCheck, fns.preffs, fns.postffs, fns.ips, fns.juliter, fns.juliterIterations, fns.juliterIncludeInitialIterations, fns.defaultNovaInitialValue, fns.perturbation, fns.perturbation_vals, fns.variable_perturbation, fns.user_perturbation_algorithm, fns.perturbation_user_formula, fns.user_perturbation_conditions, fns.user_perturbation_condition_formula, fns.init_val, fns.initial_vals, fns.variable_init_value, fns.user_initial_value_algorithm, fns.initial_value_user_formula, fns.user_initial_value_conditions, fns.user_initial_value_condition_formula, fns.cbs, fns.useGlobalMethod, fns.globalMethodFactor, xJuliaCenter, yJuliaCenter); } @@ -712,7 +735,7 @@ private void settingsFractalExpander(int FROMx, int TOx, int FROMy, int TOy, Apf } //Julia - private void settingsJulia(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, double xJuliaCenter, double yJuliaCenter) { + private void settingsJulia(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, D3Settings d3s, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, DomainColoringSettings ds, boolean inverse_dem, boolean quickDraw, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { if (quickDraw && size.compareTo(MyApfloat.MIN_DOUBLE_SIZE) > 0 && max_iterations > 3000) { max_iterations = 3000; @@ -846,7 +869,7 @@ private void settingsJulia(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCent } //Julia-Expander - private void settingsJuliaExpander(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, double xJuliaCenter, double yJuliaCenter) { + private void settingsJuliaExpander(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, ImageExpanderWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, FiltersSettings fs, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, DomainColoringSettings ds, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { this.xCenter = xCenter; this.yCenter = yCenter; @@ -1013,24 +1036,24 @@ private void settingsJuliaMap(int FROMx, int TOx, int FROMy, int TOy, Apfloat xC action = JULIA_MAP; } - double xJuliaCenter, yJuliaCenter; + Apfloat xJuliaCenter, yJuliaCenter; if (polar_projection) { - PolarLocation location = new PolarLocation(xCenter, yCenter, size, height_ratio, image.getHeight(), circle_period); + PolarLocationNormalApfloatArbitrary location = new PolarLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image.getHeight(), circle_period); BigPoint p = location.getPoint((int)(FROMx + (TOx - FROMx) * 0.5), (int)(FROMy + (TOy - FROMy) * 0.5)); p = MathUtils.rotatePointRelativeToPoint(p, rotation_vals, rotation_center); - xJuliaCenter = p.x.doubleValue(); - yJuliaCenter = p.y.doubleValue(); + xJuliaCenter = p.x; + yJuliaCenter = p.y; } else { - CartesianLocation location = new CartesianLocation(xCenter, yCenter, size, height_ratio, image.getHeight()); + CartesianLocationNormalApfloatArbitrary location = new CartesianLocationNormalApfloatArbitrary(xCenter, yCenter, size, height_ratio, image.getHeight()); BigPoint p = location.getPoint((int)(FROMx + (TOx - FROMx) * 0.5), (int)(FROMy + (TOy - FROMy) * 0.5)); p = MathUtils.rotatePointRelativeToPoint(p, rotation_vals, rotation_center); - xJuliaCenter = p.x.doubleValue(); - yJuliaCenter = p.y.doubleValue(); + xJuliaCenter = p.x; + yJuliaCenter = p.y; } double mapxCenter = 0; @@ -1070,7 +1093,7 @@ private void settingsJuliaMap(int FROMx, int TOx, int FROMy, int TOy, Apfloat xC } //Julia Preview - private void settingsJuliaPreview(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, MainWindow ptr, Color fractal_color, Color dem_color, boolean fast_julia_filters, BufferedImage image, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, FiltersSettings fs, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, double xJuliaCenter, double yJuliaCenter) { + private void settingsJuliaPreview(int FROMx, int TOx, int FROMy, int TOy, Apfloat xCenter, Apfloat yCenter, Apfloat size, int max_iterations, int bailout_test_algorithm, double bailout, String bailout_test_user_formula, String bailout_test_user_formula2, int bailout_test_comparison, double n_norm, MainWindow ptr, Color fractal_color, Color dem_color, boolean fast_julia_filters, BufferedImage image, boolean periodicity_checking, int plane_type, boolean apply_plane_on_julia, boolean apply_plane_on_julia_seed, int out_coloring_algorithm, int user_out_coloring_algorithm, String outcoloring_formula, String[] user_outcoloring_conditions, String[] user_outcoloring_condition_formula, int in_coloring_algorithm, int user_in_coloring_algorithm, String incoloring_formula, String[] user_incoloring_conditions, String[] user_incoloring_condition_formula, boolean smoothing, FiltersSettings fs, boolean burning_ship, boolean mandel_grass, double[] mandel_grass_vals, int function, double z_exponent, double[] z_exponent_complex, int color_cycling_location, int color_cycling_location2, Apfloat[] rotation_vals, Apfloat[] rotation_center, double[] coefficients, double[] z_exponent_nova, double[] relaxation, int nova_method, String user_formula, String user_formula2, int bail_technique, String user_plane, int user_plane_algorithm, String[] user_plane_conditions, String[] user_plane_condition_formula, String[] user_formula_iteration_based, String[] user_formula_conditions, String[] user_formula_condition_formula, boolean exterior_de, double exterior_de_factor, double height_ratio, double[] plane_transform_center, double plane_transform_angle, double plane_transform_radius, double[] plane_transform_scales, double[] plane_transform_wavelength, int waveType, double plane_transform_angle2, int plane_transform_sides, double plane_transform_amount, int escaping_smooth_algorithm, int converging_smooth_algorithm, BumpMapSettings bms, boolean polar_projection, double circle_period, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double coupling, String[] user_formula_coupled, int coupling_method, double coupling_amplitude, double coupling_frequency, int coupling_seed, boolean inverse_dem, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, OrbitTrapSettings ots, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, StatisticsSettings sts, GenericCaZbdZeSettings gcs, double[] coefficients_im, String[] lyapunovExpression, boolean useLyapunovExponent, int gradient_offset, String lyapunovFunction, String lyapunovExponentFunction, int lyapunovVariableId, String user_fz_formula, String user_dfz_formula, String user_ddfz_formula, String user_dddfz_formula, String user_relaxation_formula, String user_nova_addend_formula, double[] laguerre_deg, GenericCpAZpBCSettings gcps, LambdaFnFnSettings lfns, double[] newton_hines_k, TrueColorSettings tcs, HistogramColoringSettings hss, String lyapunovInitialValue, int lyapunovInitializationIteratons, boolean lyapunovskipBailoutCheck, FunctionFilterSettings preffs, FunctionFilterSettings postffs, PlaneInfluenceSettings ips, boolean juliter, int juliterIterations, boolean juliterIncludeInitialIterations, boolean defaultNovaInitialValue, boolean perturbation, double[] perturbation_vals, boolean variable_perturbation, int user_perturbation_algorithm, String perturbation_user_formula, String[] user_perturbation_conditions, String[] user_perturbation_condition_formula, boolean init_value, double[] initial_vals, boolean variable_init_value, int user_initial_value_algorithm, String initial_value_user_formula, String[] user_initial_value_conditions, String[] user_initial_value_condition_formula, ConvergentBailoutConditionSettings cbs, boolean useGlobalMethod, double[] globalMethodFactor, Apfloat xJuliaCenter, Apfloat yJuliaCenter) { this.xCenter = xCenter; this.yCenter = yCenter; @@ -1155,7 +1178,7 @@ private void settingsJuliaPreview(int FROMx, int TOx, int FROMy, int TOy, Apfloa } //Color Cycling - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, int color_cycling_location, int color_cycling_location2, BumpMapSettings bms, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, int color_cycling_speed, FiltersSettings fs, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, OrbitTrapSettings ots, boolean cycle_colors, boolean cycle_lights, boolean cycle_gradient, DomainColoringSettings ds, int gradient_offset, HistogramColoringSettings hss, double contourFactor, boolean smoothing) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, MainWindow ptr, Color fractal_color, Color dem_color, BufferedImage image, int color_cycling_location, int color_cycling_location2, BumpMapSettings bms, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, int color_cycling_speed, FiltersSettings fs, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, OrbitTrapSettings ots, boolean cycle_colors, boolean cycle_lights, boolean cycle_gradient, DomainColoringSettings ds, int gradient_offset, HistogramColoringSettings hss, double contourFactor, boolean smoothing, GeneratedPaletteSettings gps) { this.FROMx = FROMx; this.TOx = TOx; @@ -1177,6 +1200,7 @@ public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, Ma this.filters_options_extra_vals = fs.filters_options_extra_vals; this.contourFactor = contourFactor; this.color_smoothing = smoothing; + this.gps = gps; action = COLOR_CYCLING; @@ -1221,7 +1245,7 @@ public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, Ma } //Apply Filter - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, MainWindow ptr, BufferedImage image, Color fractal_color, Color dem_color, int color_cycling_location, int color_cycling_location2, FiltersSettings fs, BumpMapSettings bms, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, OrbitTrapSettings ots, DomainColoringSettings ds, int gradient_offset, HistogramColoringSettings hss, double contourFactor, boolean smoothing) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, MainWindow ptr, BufferedImage image, Color fractal_color, Color dem_color, int color_cycling_location, int color_cycling_location2, FiltersSettings fs, BumpMapSettings bms, FakeDistanceEstimationSettings fdes, RainbowPaletteSettings rps, double color_intensity, int transfer_function, double color_intensity2, int transfer_function2, boolean usePaletteForInColoring, EntropyColoringSettings ens, OffsetColoringSettings ofs, GreyscaleColoringSettings gss, int color_blending, ContourColoringSettings cns, int[] post_processing_order, LightSettings ls, PaletteGradientMergingSettings pbs, OrbitTrapSettings ots, DomainColoringSettings ds, int gradient_offset, HistogramColoringSettings hss, double contourFactor, boolean smoothing, GeneratedPaletteSettings gps) { this.FROMx = FROMx; this.TOx = TOx; @@ -1244,6 +1268,7 @@ public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, Ma this.contourFactor = contourFactor; this.color_smoothing = smoothing; action = APPLY_PALETTE_AND_FILTER; + this.gps = gps; this.color_blending = color_blending; @@ -1283,7 +1308,7 @@ public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, int max_iterations, Ma } //Rotate 3d model - public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, D3Settings d3s, boolean draw_action, MainWindow ptr, BufferedImage image, FiltersSettings fs, int color_blending, double contourFactor, boolean smoothing) { + public ThreadDraw(int FROMx, int TOx, int FROMy, int TOy, D3Settings d3s, boolean draw_action, MainWindow ptr, BufferedImage image, FiltersSettings fs, int color_blending, double contourFactor, boolean smoothing, GeneratedPaletteSettings gps) { this.FROMx = FROMx; this.TOx = TOx; @@ -1416,7 +1441,7 @@ public void run() { } private long getPixelCalculationTime(long totalTime) { - return totalTime - Fractal.ReferenceCalculationTime - Fractal.SACalculationTime - Fractal.BLACalculationTime - PostProcessingCalculationTime - D3RenderingCalculationTime - FilterCalculationTime; + return totalTime - Fractal.ReferenceCalculationTime - Fractal.SecondReferenceCalculationTime - Fractal.SACalculationTime - Fractal.Nanomb1CalculationTime - Fractal.BLACalculationTime - PostProcessingCalculationTime - D3RenderingCalculationTime - FilterCalculationTime; } private void drawDomainExpander() { @@ -1439,7 +1464,6 @@ private void drawDomainExpander() { image_iterations = null; escaped = null; - System.gc(); applyFilters(); @@ -1465,22 +1489,43 @@ public void setFullToolTipMessage(int total) { long total_time = System.currentTimeMillis() - time; + int bigNumLib = getBignumLibrary(size, fractal); + progress.setToolTipText("