c++floating-pointmodulusmath.hfmodf

float fmodf(float_x, float_y) function, math.h, c++


hello I was hoping someone could help me with this.

I am using the float fmodf(float_x, float_y) function from math.h.

i am able to code with it properly but I was just wanted to know does anyone know the functions exact code is, so i can understand it better


Solution

  • The exact code depends on your math library (probably included in the same package as your C library). You can look at the glibc implementation if you want to see one implementation. This is the function that gets used in glibc (from sysdeps/ieee754/flt-32/e_fmodf.c).

    float
    __ieee754_fmodf (float x, float y)
    {
        int32_t n,hx,hy,hz,ix,iy,sx,i;
    
        GET_FLOAT_WORD(hx,x);
        GET_FLOAT_WORD(hy,y);
        sx = hx&0x80000000;     /* sign of x */
        hx ^=sx;        /* |x| */
        hy &= 0x7fffffff;   /* |y| */
    
        /* purge off exception values */
        if(hy==0||(hx>=0x7f800000)||        /* y=0,or x not finite */
           (hy>0x7f800000))         /* or y is NaN */
            return (x*y)/(x*y);
        if(hx<hy) return x;         /* |x|<|y| return x */
        if(hx==hy)
            return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
    
        /* determine ix = ilogb(x) */
        if(hx<0x00800000) { /* subnormal x */
            for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
        } else ix = (hx>>23)-127;
    
        /* determine iy = ilogb(y) */
        if(hy<0x00800000) { /* subnormal y */
            for (iy = -126,i=(hy<<8); i>=0; i<<=1) iy -=1;
        } else iy = (hy>>23)-127;
    
        /* set up {hx,lx}, {hy,ly} and align y to x */
        if(ix >= -126)
            hx = 0x00800000|(0x007fffff&hx);
        else {      /* subnormal x, shift x to normal */
            n = -126-ix;
            hx = hx<<n;
        }
        if(iy >= -126)
            hy = 0x00800000|(0x007fffff&hy);
        else {      /* subnormal y, shift y to normal */
            n = -126-iy;
            hy = hy<<n;
        }
    
        /* fix point fmod */
        n = ix - iy;
        while(n--) {
            hz=hx-hy;
            if(hz<0){hx = hx+hx;}
            else {
            if(hz==0)       /* return sign(x)*0 */
                return Zero[(u_int32_t)sx>>31];
            hx = hz+hz;
            }
        }
        hz=hx-hy;
        if(hz>=0) {hx=hz;}
    
        /* convert back to floating value and restore the sign */
        if(hx==0)           /* return sign(x)*0 */
            return Zero[(u_int32_t)sx>>31];
        while(hx<0x00800000) {      /* normalize x */
            hx = hx+hx;
            iy -= 1;
        }
        if(iy>= -126) {     /* normalize output */
            hx = ((hx-0x00800000)|((iy+127)<<23));
            SET_FLOAT_WORD(x,hx|sx);
        } else {        /* subnormal output */
            n = -126 - iy;
            hx >>= n;
            SET_FLOAT_WORD(x,hx|sx);
            x *= one;       /* create necessary signal */
        }
        return x;       /* exact output */
    }