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<!doctype html>
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<head>
<meta charset="utf-8">
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<title>pyspace.fold API documentation</title>
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<header>
<h1 class="title">Module <code>pyspace.fold</code></h1>
</header>
<section id="section-intro">
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">import math
import numpy as np
from .util import *
class FoldPlane:
def __init__(self, n, d=0.0):
self.n = set_global_vec3(n)
self.d = set_global_float(d)
def fold(self, p):
n = get_global(self.n)
d = get_global(self.d)
p[:3] -= 2.0 * min(0.0, np.dot(p[:3], n) - d) * n
def unfold(self, p, q):
n = get_global(self.n)
d = get_global(self.d)
if np.dot(p[:3], n) - d < 0.0:
q[:3] -= 2.0 * (np.dot(q[:3], n) - d) * n
def glsl(self):
if vec3_eq(self.n, (1,0,0)):
return '\tp.x = abs(p.x - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,1,0)):
return '\tp.y = abs(p.y - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,1)):
return '\tp.z = abs(p.z - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (-1,0,0)):
return '\tp.x = -abs(p.x + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,-1,0)):
return '\tp.y = -abs(p.y + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,-1)):
return '\tp.z = -abs(p.z + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
else:
return '\tplaneFold(p, ' + vec3_str(self.n) + ', ' + float_str(self.d) + ');\n'
'''
EQUIVALENT FOLD:
FoldPlane((1, 0, 0), c_x))
FoldPlane((0, 1, 0), c_y))
FoldPlane((0, 0, 1), c_z))
'''
class FoldAbs:
def __init__(self, c=(0,0,0)):
self.c = set_global_vec3(c)
def fold(self, p):
c = get_global(self.c)
p[:3] = np.abs(p[:3] - c) + c
def unfold(self, p, q):
c = get_global(self.c)
if p[0] < c[0]: q[0] = 2*c[0] - q[0]
if p[1] < c[1]: q[1] = 2*c[0] - q[1]
if p[2] < c[2]: q[2] = 2*c[0] - q[2]
def glsl(self):
if vec3_eq(self.c, (0,0,0)):
return '\tp.xyz = abs(p.xyz);\n'
else:
return '\tabsFold(p, ' + vec3_str(self.c) + ');\n'
'''
EQUIVALENT FOLD:
FoldPlane((inv_sqrt2, inv_sqrt2, 0)))
FoldPlane((inv_sqrt2, 0, inv_sqrt2)))
FoldPlane((0, inv_sqrt2, inv_sqrt2)))
'''
class FoldSierpinski:
def __init__(self):
pass
def fold(self, p):
if p[0] + p[1] < 0.0:
p[[0,1]] = -p[[1,0]]
if p[0] + p[2] < 0.0:
p[[0,2]] = -p[[2,0]]
if p[1] + p[2] < 0.0:
p[[2,1]] = -p[[1,2]]
def unfold(self, p, q):
mx = max(-p[1], p[0])
if max(p[1], -p[0]) + max(-mx, p[2]) < 0.0:
q[[2,1]] = -q[[1,2]]
if mx + p[2] < 0.0:
q[[0,2]] = -q[[2,0]]
if p[0] + p[1] < 0.0:
q[[0,1]] = -q[[1,0]]
def glsl(self):
return '\tsierpinskiFold(p);\n'
'''
EQUIVALENT FOLD:
FoldPlane((inv_sqrt2, -inv_sqrt2, 0)))
FoldPlane((inv_sqrt2, 0, -inv_sqrt2)))
FoldPlane((0, inv_sqrt2, -inv_sqrt2)))
'''
class FoldMenger:
def __init__(self):
pass
def fold(self, p):
if p[0] < p[1]:
p[[0,1]] = p[[1,0]]
if p[0] < p[2]:
p[[0,2]] = p[[2,0]]
if p[1] < p[2]:
p[[2,1]] = p[[1,2]]
def unfold(self, p, q):
mx = max(p[0], p[1])
if min(p[0], p[1]) < min(mx, p[2]):
q[[2,1]] = q[[1,2]]
if mx < p[2]:
q[[0,2]] = q[[2,0]]
if p[0] < p[1]:
q[[0,1]] = q[[1,0]]
def glsl(self):
return '\tmengerFold(p);\n'
class FoldScaleTranslate:
def __init__(self, s=1.0, t=(0,0,0)):
self.s = set_global_float(s)
self.t = set_global_vec3(t)
def fold(self, p):
p[:] *= get_global(self.s)
p[:3] += get_global(self.t)
def unfold(self, p, q):
q[:3] -= get_global(self.t)
q[:] /= get_global(self.s)
def glsl(self):
ret_str = ''
if self.s != 1.0:
if isinstance(self.s, (float, int)) and self.s >= 0:
ret_str += '\tp *= ' + float_str(self.s) + ';\n'
else:
ret_str += '\tp.xyz *= ' + float_str(self.s) + ';\n'
ret_str += '\tp.w *= abs(' + float_str(self.s) + ');\n'
if not np.array_equal(self.t, np.zeros((3,), dtype=np.float32)):
ret_str += '\tp.xyz += ' + vec3_str(self.t) + ';\n'
return ret_str
class FoldScaleOrigin:
def __init__(self, s=1.0):
self.s = set_global_float(s)
self.o = set_global_vec3((0,0,0))
def fold(self, p):
p[:] = p*get_global(self.s) + self.o
def unfold(self, p, q):
q[:] = (q - self.o[:3]) / get_global(self.s)
def glsl(self):
ret_str = ''
if self.s != 1.0:
ret_str += '\tp = p*' + float_str(self.s) + ';p.w = abs(p.w);p += o;\n'
else:
ret_str += '\tp += o;\n'
return ret_str
class FoldBox:
def __init__(self, r=(1.0,1.0,1.0)):
self.r = set_global_vec3(r)
def fold(self, p):
r = get_global(self.r)
p[:3] = np.clip(p[:3], -r, r)*2 - p[:3]
def unfold(self, p, q):
r = get_global(self.r)
if p[0] < -r[0]: q[0] = -2*r[0] - q[0]
if p[1] < -r[1]: q[1] = -2*r[1] - q[1]
if p[2] < -r[2]: q[2] = -2*r[2] - q[2]
if p[0] > r[0]: q[0] = 2*r[0] - q[0]
if p[1] > r[1]: q[1] = 2*r[1] - q[1]
if p[2] > r[2]: q[2] = 2*r[2] - q[2]
def glsl(self):
return '\tboxFold(p,' + vec3_str(self.r) + ');\n'
class FoldSphere:
def __init__(self, min_r=0.5, max_r=1.0):
self.min_r = set_global_float(min_r)
self.max_r = set_global_float(max_r)
def fold(self, p):
max_r = get_global(self.max_r)
min_r = get_global(self.min_r)
r2 = np.dot(p[:3], p[:3])
p[:] *= max(max_r / max(min_r, r2), 1.0)
def unfold(self, p, q):
max_r = get_global(self.max_r)
min_r = get_global(self.min_r)
r2 = np.dot(p[:3], p[:3])
q[:] /= max(max_r / max(min_r, r2), 1.0)
def glsl(self):
return '\tsphereFold(p,' + float_str(self.min_r) + ',' + float_str(self.max_r) + ');\n'
class FoldInversion:
def __init__(self, epsilon=1e-12):
self.epsilon = set_global_float(epsilon)
def fold(self, p):
epsilon = get_global(self.epsilon)
p[:] *= 1.0 / (np.dot(p[:3], p[:3]) + epsilon)
def unfold(self, p, q):
epsilon = get_global(self.epsilon)
q[:] *= (np.dot(p[:3], p[:3]) + epsilon)
def glsl(self):
return '\tp *= 1.0 / (dot(p.xyz, p.xyz) + ' + float_str(self.epsilon) + ');\n'
class FoldRotateX:
def __init__(self, a):
self.a = set_global_float(a)
def fold(self, p):
a = get_global(self.a)
s,c = math.sin(a), math.cos(a)
p[1], p[2] = (c*p[1] + s*p[2]), (c*p[2] - s*p[1])
def unfold(self, p, q):
a = get_global(self.a)
s,c = math.sin(-a), math.cos(-a)
q[1], q[2] = (c*q[1] + s*q[2]), (c*q[2] - s*q[1])
def glsl(self):
if isinstance(self.a, (float, int)):
return '\trotX(p, ' + float_str(math.sin(self.a)) + ', ' + float_str(math.cos(self.a)) + ');\n'
else:
return '\trotX(p, ' + float_str(self.a) + ');\n'
class FoldRotateY:
def __init__(self, a):
self.a = set_global_float(a)
def fold(self, p):
a = get_global(self.a)
s,c = math.sin(a), math.cos(a)
p[2], p[0] = (c*p[2] + s*p[0]), (c*p[0] - s*p[2])
def unfold(self, p, q):
a = get_global(self.a)
s,c = math.sin(-a), math.cos(-a)
q[2], q[0] = (c*q[2] + s*q[0]), (c*q[0] - s*q[2])
def glsl(self):
if isinstance(self.a, (float, int)):
return '\trotY(p, ' + float_str(math.sin(self.a)) + ', ' + float_str(math.cos(self.a)) + ');\n'
else:
return '\trotY(p, ' + float_str(self.a) + ');\n'
class FoldRotateZ:
def __init__(self, a):
self.a = set_global_float(a)
def fold(self, p):
a = get_global(self.a)
s,c = math.sin(a), math.cos(a)
p[0], p[1] = (c*p[0] + s*p[1]), (c*p[1] - s*p[0])
def unfold(self, p, q):
a = get_global(self.a)
s,c = math.sin(-a), math.cos(-a)
q[0], q[1] = (c*q[0] + s*q[1]), (c*q[1] - s*q[0])
def glsl(self):
if isinstance(self.a, (float, int)):
return '\trotZ(p, ' + float_str(math.sin(self.a)) + ', ' + float_str(math.cos(self.a)) + ');\n'
else:
return '\trotZ(p, ' + float_str(self.a) + ');\n'
class FoldRepeatX:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[0] = abs((p[0] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[0] - m/2) % m - m/2
if a < 0.0: q[0] = -q[0]
q[0] += p[0] - a
def glsl(self):
return '\tp.x = abs(mod(p.x - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'
class FoldRepeatY:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[1] = abs((p[1] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[1] - m/2) % m - m/2
if a < 0.0: q[1] = -q[1]
q[1] += p[1] - a
def glsl(self):
return '\tp.y = abs(mod(p.y - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'
class FoldRepeatZ:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[2] = abs((p[2] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[2] - m/2) % m - m/2
if a < 0.0: q[2] = -q[2]
q[2] += p[2] - a
def glsl(self):
return '\tp.z = abs(mod(p.z - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'
class FoldRepeatXYZ:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[:3] = abs((p[:3] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[:3] - m/2) % m - m/2
if a[0] < 0.0: q[0] = -q[0]
if a[1] < 0.0: q[1] = -q[1]
if a[2] < 0.0: q[2] = -q[2]
q[:3] += p[:3] - a
def glsl(self):
return '\tp.xyz = abs(mod(p.xyz - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
</section>
<section>
</section>
<section>
</section>
<section>
</section>
<section>
<h2 class="section-title" id="header-classes">Classes</h2>
<dl>
<dt id="pyspace.fold.FoldAbs"><code class="flex name class">
<span>class <span class="ident">FoldAbs</span></span>
<span>(</span><span>c=(0, 0, 0))</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldAbs:
def __init__(self, c=(0,0,0)):
self.c = set_global_vec3(c)
def fold(self, p):
c = get_global(self.c)
p[:3] = np.abs(p[:3] - c) + c
def unfold(self, p, q):
c = get_global(self.c)
if p[0] < c[0]: q[0] = 2*c[0] - q[0]
if p[1] < c[1]: q[1] = 2*c[0] - q[1]
if p[2] < c[2]: q[2] = 2*c[0] - q[2]
def glsl(self):
if vec3_eq(self.c, (0,0,0)):
return '\tp.xyz = abs(p.xyz);\n'
else:
return '\tabsFold(p, ' + vec3_str(self.c) + ');\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldAbs.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
c = get_global(self.c)
p[:3] = np.abs(p[:3] - c) + c</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldAbs.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
if vec3_eq(self.c, (0,0,0)):
return '\tp.xyz = abs(p.xyz);\n'
else:
return '\tabsFold(p, ' + vec3_str(self.c) + ');\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldAbs.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
c = get_global(self.c)
if p[0] < c[0]: q[0] = 2*c[0] - q[0]
if p[1] < c[1]: q[1] = 2*c[0] - q[1]
if p[2] < c[2]: q[2] = 2*c[0] - q[2]</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldBox"><code class="flex name class">
<span>class <span class="ident">FoldBox</span></span>
<span>(</span><span>r=(1.0, 1.0, 1.0))</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldBox:
def __init__(self, r=(1.0,1.0,1.0)):
self.r = set_global_vec3(r)
def fold(self, p):
r = get_global(self.r)
p[:3] = np.clip(p[:3], -r, r)*2 - p[:3]
def unfold(self, p, q):
r = get_global(self.r)
if p[0] < -r[0]: q[0] = -2*r[0] - q[0]
if p[1] < -r[1]: q[1] = -2*r[1] - q[1]
if p[2] < -r[2]: q[2] = -2*r[2] - q[2]
if p[0] > r[0]: q[0] = 2*r[0] - q[0]
if p[1] > r[1]: q[1] = 2*r[1] - q[1]
if p[2] > r[2]: q[2] = 2*r[2] - q[2]
def glsl(self):
return '\tboxFold(p,' + vec3_str(self.r) + ');\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldBox.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
r = get_global(self.r)
p[:3] = np.clip(p[:3], -r, r)*2 - p[:3]</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldBox.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
return '\tboxFold(p,' + vec3_str(self.r) + ');\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldBox.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
r = get_global(self.r)
if p[0] < -r[0]: q[0] = -2*r[0] - q[0]
if p[1] < -r[1]: q[1] = -2*r[1] - q[1]
if p[2] < -r[2]: q[2] = -2*r[2] - q[2]
if p[0] > r[0]: q[0] = 2*r[0] - q[0]
if p[1] > r[1]: q[1] = 2*r[1] - q[1]
if p[2] > r[2]: q[2] = 2*r[2] - q[2]</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldInversion"><code class="flex name class">
<span>class <span class="ident">FoldInversion</span></span>
<span>(</span><span>epsilon=1e-12)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldInversion:
def __init__(self, epsilon=1e-12):
self.epsilon = set_global_float(epsilon)
def fold(self, p):
epsilon = get_global(self.epsilon)
p[:] *= 1.0 / (np.dot(p[:3], p[:3]) + epsilon)
def unfold(self, p, q):
epsilon = get_global(self.epsilon)
q[:] *= (np.dot(p[:3], p[:3]) + epsilon)
def glsl(self):
return '\tp *= 1.0 / (dot(p.xyz, p.xyz) + ' + float_str(self.epsilon) + ');\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldInversion.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
epsilon = get_global(self.epsilon)
p[:] *= 1.0 / (np.dot(p[:3], p[:3]) + epsilon)</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldInversion.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
return '\tp *= 1.0 / (dot(p.xyz, p.xyz) + ' + float_str(self.epsilon) + ');\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldInversion.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
epsilon = get_global(self.epsilon)
q[:] *= (np.dot(p[:3], p[:3]) + epsilon)</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldMenger"><code class="flex name class">
<span>class <span class="ident">FoldMenger</span></span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldMenger:
def __init__(self):
pass
def fold(self, p):
if p[0] < p[1]:
p[[0,1]] = p[[1,0]]
if p[0] < p[2]:
p[[0,2]] = p[[2,0]]
if p[1] < p[2]:
p[[2,1]] = p[[1,2]]
def unfold(self, p, q):
mx = max(p[0], p[1])
if min(p[0], p[1]) < min(mx, p[2]):
q[[2,1]] = q[[1,2]]
if mx < p[2]:
q[[0,2]] = q[[2,0]]
if p[0] < p[1]:
q[[0,1]] = q[[1,0]]
def glsl(self):
return '\tmengerFold(p);\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldMenger.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
if p[0] < p[1]:
p[[0,1]] = p[[1,0]]
if p[0] < p[2]:
p[[0,2]] = p[[2,0]]
if p[1] < p[2]:
p[[2,1]] = p[[1,2]]</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldMenger.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
return '\tmengerFold(p);\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldMenger.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
mx = max(p[0], p[1])
if min(p[0], p[1]) < min(mx, p[2]):
q[[2,1]] = q[[1,2]]
if mx < p[2]:
q[[0,2]] = q[[2,0]]
if p[0] < p[1]:
q[[0,1]] = q[[1,0]]</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldPlane"><code class="flex name class">
<span>class <span class="ident">FoldPlane</span></span>
<span>(</span><span>n, d=0.0)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldPlane:
def __init__(self, n, d=0.0):
self.n = set_global_vec3(n)
self.d = set_global_float(d)
def fold(self, p):
n = get_global(self.n)
d = get_global(self.d)
p[:3] -= 2.0 * min(0.0, np.dot(p[:3], n) - d) * n
def unfold(self, p, q):
n = get_global(self.n)
d = get_global(self.d)
if np.dot(p[:3], n) - d < 0.0:
q[:3] -= 2.0 * (np.dot(q[:3], n) - d) * n
def glsl(self):
if vec3_eq(self.n, (1,0,0)):
return '\tp.x = abs(p.x - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,1,0)):
return '\tp.y = abs(p.y - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,1)):
return '\tp.z = abs(p.z - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (-1,0,0)):
return '\tp.x = -abs(p.x + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,-1,0)):
return '\tp.y = -abs(p.y + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,-1)):
return '\tp.z = -abs(p.z + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
else:
return '\tplaneFold(p, ' + vec3_str(self.n) + ', ' + float_str(self.d) + ');\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldPlane.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
n = get_global(self.n)
d = get_global(self.d)
p[:3] -= 2.0 * min(0.0, np.dot(p[:3], n) - d) * n</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldPlane.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
if vec3_eq(self.n, (1,0,0)):
return '\tp.x = abs(p.x - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,1,0)):
return '\tp.y = abs(p.y - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,1)):
return '\tp.z = abs(p.z - ' + float_str(self.d) + ') + ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (-1,0,0)):
return '\tp.x = -abs(p.x + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,-1,0)):
return '\tp.y = -abs(p.y + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
elif vec3_eq(self.n, (0,0,-1)):
return '\tp.z = -abs(p.z + ' + float_str(self.d) + ') - ' + float_str(self.d) + ';\n'
else:
return '\tplaneFold(p, ' + vec3_str(self.n) + ', ' + float_str(self.d) + ');\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldPlane.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
n = get_global(self.n)
d = get_global(self.d)
if np.dot(p[:3], n) - d < 0.0:
q[:3] -= 2.0 * (np.dot(q[:3], n) - d) * n</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldRepeatX"><code class="flex name class">
<span>class <span class="ident">FoldRepeatX</span></span>
<span>(</span><span>m)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldRepeatX:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[0] = abs((p[0] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[0] - m/2) % m - m/2
if a < 0.0: q[0] = -q[0]
q[0] += p[0] - a
def glsl(self):
return '\tp.x = abs(mod(p.x - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldRepeatX.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
m = get_global(self.m)
p[0] = abs((p[0] - m/2) % m - m/2)</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldRepeatX.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
return '\tp.x = abs(mod(p.x - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldRepeatX.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
m = get_global(self.m)
a = (p[0] - m/2) % m - m/2
if a < 0.0: q[0] = -q[0]
q[0] += p[0] - a</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldRepeatXYZ"><code class="flex name class">
<span>class <span class="ident">FoldRepeatXYZ</span></span>
<span>(</span><span>m)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldRepeatXYZ:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[:3] = abs((p[:3] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[:3] - m/2) % m - m/2
if a[0] < 0.0: q[0] = -q[0]
if a[1] < 0.0: q[1] = -q[1]
if a[2] < 0.0: q[2] = -q[2]
q[:3] += p[:3] - a
def glsl(self):
return '\tp.xyz = abs(mod(p.xyz - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldRepeatXYZ.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
m = get_global(self.m)
p[:3] = abs((p[:3] - m/2) % m - m/2)</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldRepeatXYZ.glsl"><code class="name flex">
<span>def <span class="ident">glsl</span></span>(<span>self)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def glsl(self):
return '\tp.xyz = abs(mod(p.xyz - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
</dd>
<dt id="pyspace.fold.FoldRepeatXYZ.unfold"><code class="name flex">
<span>def <span class="ident">unfold</span></span>(<span>self, p, q)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def unfold(self, p, q):
m = get_global(self.m)
a = (p[:3] - m/2) % m - m/2
if a[0] < 0.0: q[0] = -q[0]
if a[1] < 0.0: q[1] = -q[1]
if a[2] < 0.0: q[2] = -q[2]
q[:3] += p[:3] - a</code></pre>
</details>
</dd>
</dl>
</dd>
<dt id="pyspace.fold.FoldRepeatY"><code class="flex name class">
<span>class <span class="ident">FoldRepeatY</span></span>
<span>(</span><span>m)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">class FoldRepeatY:
def __init__(self, m):
self.m = set_global_float(m)
def fold(self, p):
m = get_global(self.m)
p[1] = abs((p[1] - m/2) % m - m/2)
def unfold(self, p, q):
m = get_global(self.m)
a = (p[1] - m/2) % m - m/2
if a < 0.0: q[1] = -q[1]
q[1] += p[1] - a
def glsl(self):
return '\tp.y = abs(mod(p.y - ' + float_str(self.m) + '/2,' + float_str(self.m) + ') - ' + float_str(self.m) + '/2);\n'</code></pre>
</details>
<h3>Methods</h3>
<dl>
<dt id="pyspace.fold.FoldRepeatY.fold"><code class="name flex">
<span>def <span class="ident">fold</span></span>(<span>self, p)</span>
</code></dt>
<dd>
<section class="desc"></section>
<details class="source">
<summary>
<span>Expand source code</span>
</summary>
<pre><code class="python">def fold(self, p):
m = get_global(self.m)
p[1] = abs((p[1] - m/2) % m - m/2)</code></pre>