iOS高斯分布的随机数 [英] iOS Gaussian distribution of random numbers

问题描述

可能重复:
在Objective-C/C中生成随机的高斯双值

Possible Duplicate:
Generating a random Gaussian double in Objective-C/C

有没有办法从iOS中的高斯(正态，贝尔曲线)分布中而不是从均匀分布中获得随机数?我发现的所有随机数生成器基本上都是统一的，我想使数字围绕某个点聚类.谢谢！

Is there any way of getting a random number not from a uniform distribution, but from a Gaussian (Normal, Bell Curve) distribution in iOS? All the random number generators I have found are basically uniform and I want to make the numbers cluster around a certain point. Thanks!

推荐答案

只需使用统一的分布生成器并应用 Box-穆勒变换:

Just use a uniform distribution generator and apply the Box-Muller Transform:

double u1 = (double)arc4random() / UINT32_MAX; // uniform distribution
double u2 = (double)arc4random() / UINT32_MAX; // uniform distribution
double f1 = sqrt(-2 * log(u1));
double f2 = 2 * M_PI * u2;
double g1 = f1 * cos(f2); // gaussian distribution
double g2 = f1 * sin(f2); // gaussian distribution

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