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最快的開平方 sqrt 算法,供賞析

最快 開平方 sqrt



絕妙之處,沒有使用循環。




[email protected]:~/lab$ cat main.c 
#include "stdio.h"

float SqrtByCarmack( float number )  
{  
    int i;  
    float x2, y;  
    const float threehalfs = 1.5F;  
  
    x2 = number * 0.5F;  
    y  = number;  
    i  = * ( int * ) &y;       
    i  = 0x5f375a86 - ( i >> 1 );   
    y  = * ( float * ) &i;  
    y  = y * ( threehalfs - ( x2 * y * y ) );   
    y  = y * ( threehalfs - ( x2 * y * y ) );     
    y  = y * ( threehalfs - ( x2 * y * y ) );   
    return number*y;  
}  


int main()
{
	printf("%f\n", SqrtByCarmack(998001));
	printf("%f\n", SqrtByCarmack(99.99998));

	printf("%f\n", SqrtByCarmack(3025));

	printf("%f\n", SqrtByCarmack(1));
	printf("%f\n", SqrtByCarmack(1.21));
	printf("%f\n", SqrtByCarmack(1.5129));
	printf("%f\n", SqrtByCarmack(1.522756));
	printf("%f\n", SqrtByCarmack(1.52399025));
	printf("%f\n", SqrtByCarmack(1.52413839));
	printf("%f\n", SqrtByCarmack(1.52415568));
	return 0;
}
[email protected]
/* */:~/lab$ gcc -Wall main.c && ./a.out 999.000000 9.999999 55.000000 1.000000 1.100000 1.230000 1.234000 1.234500 1.234560 1.234567 [email protected]:~/lab$







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最快的開平方 sqrt 算法,供賞析