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Accelerate+Convenience.m
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//
// Accelerate+Convenience.m
// Ringtonic
//
// Created by Alexander Ivanov on 13.06.17.
// Copyright © 2017 Alexander Ivanov. All rights reserved.
//
#import "Accelerate+Convenience.h"
@implementation NSArray (Accelerate)
#if __has_include(<Accelerate/Accelerate.h>)
- (NSData *)vector:(NSNumber *(^)(id))predicate {
NSMutableData *data = [NSMutableData data];
for (id obj in self) {
id object = predicate ? predicate(obj) : obj;
if (object) {
double d = [object doubleValue];
[data appendBytes:&d length:sizeof(double)];
}
}
return data;
}
- (double)vSum:(NSNumber *(^)(id))predicate {
NSData *vector = [self vector:predicate];
double sum = 0.0;
if (vector.length)
vDSP_sveD(vector.bytes, 1, &sum, vector.length / sizeof(double));
return sum;
}
- (NSArray<NSNumber *> *)meanAndStandardDeviation:(NSNumber *(^)(id))predicate {
NSData *vector = [self vector:predicate];
double mean = 0.0;
double standardDeviation = 0.0;
if (vector.length)
vDSP_normalizeD(vector.bytes, 1, NULL, 1, &mean, &standardDeviation, vector.length / sizeof(double));
return @[ @(mean), @(standardDeviation) ];
}
- (NSArray<NSNumber *> *)quartiles:(NSNumber *(^)(id))predicate {
NSData *vector = [self vector:predicate];
NSUInteger count = vector.length / sizeof(double);
double *bytes = malloc(vector.length);
[vector getBytes:bytes length:vector.length];
vDSP_vsortD(bytes, count, 1);
NSUInteger i1 = count * 0.25;
NSUInteger i2 = count * 0.5;
NSUInteger i3 = count * 0.75;
NSNumber *min = count >= 1 ? @(bytes[0]) : [NSDecimalNumber notANumber];
NSNumber *q1 = count >= 3 ? @(i2 % 2 ? bytes[i1] : ((bytes[i1 - 1] + bytes[i1]) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *q2 = count >= 2 ? @(count % 2 ? bytes[i2] : ((bytes[i2 - 1] + bytes[i2]) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *q3 = count >= 3 ? @(i2 % 2 ? bytes[i3] : ((bytes[i3 - 1] + bytes[i3]) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *max = count >= 1 ? @(bytes[count - 1]) : [NSDecimalNumber notANumber];
free(bytes);
return @[ min, q1, q2, q3, max ];
}
#else
- (double)aggregate:(double(^)(double val, double obj))predicate {
double val = [self.firstObject doubleValue];
for (NSUInteger index = 1; index < self.count; index++)
val = predicate(val, [self[index] doubleValue]);
return val;
}
- (double)vSum:(NSNumber *(^)(id))predicate {
NSArray *numbers = [self map:predicate];
return [numbers aggregate:^double(double val, double obj) {
return val + obj;
}];
}
- (NSArray<NSNumber *> *)meanAndStandardDeviation:(NSNumber *(^)(id))predicate {
NSArray *numbers = [self map:predicate];
if (!numbers.count)
return Nil;
double avg = [numbers aggregate:^double(double val, double obj) {
return val + obj;
}] / numbers.count;
double dev = sqrt([numbers aggregate:^double(double val, double obj) {
return val + pow(obj - avg, 2.0);
}] / numbers.count);
return @[ @(avg), @(dev) ];
}
- (NSArray<NSNumber *> *)quartiles:(NSNumber *(^)(id))predicate {
NSArray<NSNumber *> *numbers = [[self map:predicate] sortedArray];
NSUInteger count = numbers.count;
if (count < 5)
return Nil;
NSUInteger q1 = count / 4;
NSUInteger q2 = count / 2;
NSUInteger q3 = count * 3 / 4;
NSNumber *min = count >= 1 ? numbers[0] : [NSDecimalNumber notANumber];
NSNumber *quartile1 = count >= 2 ? (q2 % 2 ? numbers[q1] : @((numbers[q1 - 1].doubleValue + numbers[q1].doubleValue) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *median = count >= 4 ? (count % 2 ? numbers[q2] : @((numbers[q2 - 1].doubleValue + numbers[q2].doubleValue) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *quartile3 = count >= 2 ? (q2 % 2 ? numbers[q3] : @((numbers[q3 - 1].doubleValue + numbers[q3].doubleValue) / 2.0)) : [NSDecimalNumber notANumber];
NSNumber *max = count >= 1 ? numbers[count - 1] : [NSDecimalNumber notANumber];
return @[ min, quartile1, median, quartile3, max ];
}
#endif
- (double)vAvg:(NSNumber *(^)(id))predicate {
return [self meanAndStandardDeviation:predicate].firstObject.doubleValue;
}
- (double)vDev:(NSNumber *(^)(id))predicate {
return [self meanAndStandardDeviation:predicate].lastObject.doubleValue;
}
- (double)vMin:(NSNumber *(^)(id))predicate {
NSNumber *obj = [self quartiles:predicate].firstObject;
return [obj isEqualToNumber:[NSDecimalNumber notANumber]] ? 0.0 : obj.doubleValue;
}
- (double)vMed:(NSNumber *(^)(id))predicate {
NSNumber *obj = [self quartiles:predicate][2];
return [obj isEqualToNumber:[NSDecimalNumber notANumber]] ? 0.0 : obj.doubleValue;
}
- (double)vMax:(NSNumber *(^)(id))predicate {
NSNumber *obj = [self quartiles:predicate].lastObject;
return [obj isEqualToNumber:[NSDecimalNumber notANumber]] ? 0.0 : obj.doubleValue;
}
@end