/* ef_hypot.c -- float version of e_hypot.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.
 * ====================================================
 */

#include "fdlibm.h"

float
hypotf(float x, float y)
{
    float a = x, b = y, t1, t2, y1, y2, w;
    __int32_t j, k, ha, hb;

    GET_FLOAT_WORD(ha, x);
    ha &= 0x7fffffffL;
    GET_FLOAT_WORD(hb, y);
    hb &= 0x7fffffffL;
    if (hb > ha) {
        j = ha;
        ha = hb;
        hb = j;
    }
    SET_FLOAT_WORD(a, ha); /* a <- |a| */
    SET_FLOAT_WORD(b, hb); /* b <- |b| */
    if ((ha - hb) > 0xf000000L) {
        return a + b;
    } /* x/y > 2**30 */
    k = 0;
    if (ha > 0x58800000L) { /* a>2**50 */
        if (!FLT_UWORD_IS_FINITE(ha)) { /* Inf or NaN */
            w = a + b; /* for sNaN */
            if (FLT_UWORD_IS_INFINITE(ha) && !issignaling(b))
                w = a;
            if (FLT_UWORD_IS_INFINITE(hb) && !issignaling(a))
                w = b;
            return w;
        }
        /* scale a and b by 2**-68 */
        ha -= 0x22000000L;
        hb -= 0x22000000L;
        k += 68;
        SET_FLOAT_WORD(a, ha);
        SET_FLOAT_WORD(b, hb);
    }
    if (hb < 0x26800000L) { /* b < 2**-50 */
        if (FLT_UWORD_IS_ZERO(hb)) {
            return a;
        } else if (FLT_UWORD_IS_SUBNORMAL(hb)) {
            SET_FLOAT_WORD(t1, 0x7e800000L); /* t1=2^126 */
            b *= t1;
            a *= t1;
            k -= 126;
        } else { /* scale a and b by 2^68 */
            ha += 0x22000000; /* a *= 2^68 */
            hb += 0x22000000; /* b *= 2^68 */
            k -= 68;
            SET_FLOAT_WORD(a, ha);
            SET_FLOAT_WORD(b, hb);
        }
    }
    /* medium size a and b */
    w = a - b;
    if (w > b) {
        SET_FLOAT_WORD(t1, ha & 0xfffff000L);
        t2 = a - t1;
        w = sqrtf(t1 * t1 - (b * (-b) - t2 * (a + t1)));
    } else {
        a = a + a;
        SET_FLOAT_WORD(y1, hb & 0xfffff000L);
        y2 = b - y1;
        SET_FLOAT_WORD(t1, (ha + 0x00800000L) & 0xfffff000UL);
        t2 = a - t1;
        w = sqrtf(t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b)));
    }
    if (k != 0) {
        SET_FLOAT_WORD(t1, 0x3f800000L + (k << 23));
        w *= t1;
    }
    return check_oflowf(w);
}

_MATH_ALIAS_f_ff(hypot)