/* ef_fmod.c -- float version of e_fmod.c.
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */

/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */

/*
 * fmodf(x,y)
 * Return x mod y in exact arithmetic
 * Method: shift and subtract
 */

#include "fdlibm.h"

static const float one = 1.0, Zero[] = {
    0.0,
    -0.0,
};

float
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 (isnan(x) || isnan(y)) /* x or y nan, return nan */
        return x + y;

    if (isinf(x)) /* x == inf, domain error */
        return __math_invalidf(x);

    if (hy == 0) /* y=0, domain error */
        return __math_invalidf(y);

    if (hx < hy)
        return x; /* |x|<|y| return x */
    if (hx == hy)
        return Zero[(__uint32_t)sx >> 31]; /* |x|=|y| return x*0*/

    /* Note: y cannot be zero if we reach here. */

    /* determine ix = ilogb(x) */
    if (FLT_UWORD_IS_SUBNORMAL(hx)) { /* subnormal x */
        for (ix = -126, i = (hx << 8); i > 0; i <<= 1)
            ix -= 1;
    } else
        ix = (hx >> 23) - 127;

    /* determine iy = ilogb(y) */
    if (FLT_UWORD_IS_SUBNORMAL(hy)) { /* 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[(__uint32_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[(__uint32_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 */
        /* If denormals are not supported, this code will generate a
	       zero representation.  */
        n = -126 - iy;
        hx >>= n;
        SET_FLOAT_WORD(x, hx | sx);
        x *= one; /* create necessary signal */
    }
    return x; /* exact output */
}

_MATH_ALIAS_f_ff(fmod)