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/*
* Copyright 2023 Siemens
*
* The authors hereby grant permission to use, copy, modify, distribute,
* and license this software and its documentation for any purpose, provided
* that existing copyright notices are retained in all copies and that this
* notice is included verbatim in any distributions. No written agreement,
* license, or royalty fee is required for any of the authorized uses.
* Modifications to this software may be copyrighted by their authors
* and need not follow the licensing terms described here, provided that
* the new terms are clearly indicated on the first page of each file where
* they apply.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/* Based on newlib/libm/mathfp/e_hypot.c in Newlib. */
#include "amdgcnmach.h"
v64df v64df_sqrt_aux (v64df, v64di);
DEF_VD_MATH_FUNC (v64df, hypot, v64df x, v64df y)
{
FUNCTION_INIT (v64df);
v64df a = x;
v64df b = y;
v64si ha;
GET_HIGH_WORD (ha, x, NO_COND);
ha &= 0x7fffffffL;
v64si hb;
GET_HIGH_WORD (hb, y, NO_COND);
hb &= 0x7fffffffL;
VECTOR_IF (hb > ha, cond)
VECTOR_COND_MOVE (a, y, cond);
VECTOR_COND_MOVE (b, x, cond);
v64si j = ha;
VECTOR_COND_MOVE (ha, hb, cond);
VECTOR_COND_MOVE (hb, j, cond);
VECTOR_ENDIF
SET_HIGH_WORD (a, ha, NO_COND); /* a <- |a| */
SET_HIGH_WORD (b, hb, NO_COND); /* b <- |b| */
VECTOR_IF((ha - hb) > 0x3c00000L, cond) // x/y > 2**60 */
VECTOR_RETURN (a + b, cond);
VECTOR_ENDIF
v64si k = VECTOR_INIT (0);
VECTOR_IF (ha > 0x5f300000L, cond) /* a>2**500 */
VECTOR_IF2 (ha >= 0x7ff00000L, cond2, cond) /* Inf or NaN */
v64df w = a + b; // for sNaN */
v64si low;
GET_LOW_WORD (low, a, cond2);
VECTOR_COND_MOVE (w, a, cond2 & (((ha & 0xfffff) | low) == 0));
GET_LOW_WORD (low, b, cond2);
VECTOR_COND_MOVE (w, b, cond2 & (((hb & 0xfffff) | low) == 0));
VECTOR_RETURN (w, cond);
VECTOR_ENDIF
/* scale a and b by 2**-600 */
VECTOR_COND_MOVE (ha, ha - 0x25800000, cond);
VECTOR_COND_MOVE (hb, hb - 0x25800000, cond);
VECTOR_COND_MOVE (k, k + 600, cond);
SET_HIGH_WORD (a, ha, cond);
SET_HIGH_WORD (b, hb, cond);
VECTOR_ENDIF
VECTOR_IF (hb < 0x20b00000, cond) /* b < 2**-500 */
VECTOR_IF2 (hb <= 0x000fffff, cond2, cond) /* subnormal b or 0 */
v64si low;
GET_LOW_WORD (low, b, cond);
VECTOR_RETURN (a, cond2 & ((hb | low) == 0));
/* t1=2^1022 */
v64df t1 = VECTOR_INIT (0.0);
SET_HIGH_WORD (t1, VECTOR_INIT (0x7fd00000), cond2);
VECTOR_COND_MOVE (b, b * t1, cond2);
VECTOR_COND_MOVE (a, a * t1, cond2);
VECTOR_COND_MOVE (k, k - 1022, cond2);
VECTOR_ELSE2 (cond2, cond) /* scale a and b by 2^600 */
VECTOR_COND_MOVE (ha, ha + 0x25800000, cond2); /* a *= 2^600 */
VECTOR_COND_MOVE (hb, hb + 0x25800000, cond2); /* b *= 2^600 */
VECTOR_COND_MOVE (k, k - 600, cond2);
SET_HIGH_WORD (a, ha, cond2);
SET_HIGH_WORD (b, hb, cond2);
VECTOR_ENDIF
VECTOR_ENDIF
/* medium size a and b */
v64df w = a - b;
VECTOR_IF (w > b, cond)
v64df t1 = VECTOR_INIT (0.0);
SET_HIGH_WORD (t1, ha, cond);
v64df t2 = a - t1;
VECTOR_COND_MOVE (w, v64df_sqrt_aux (t1*t1 - (b*(-b) - t2 * (a + t1)), __mask), cond);
VECTOR_ELSE (cond)
VECTOR_COND_MOVE (a, a+a, cond);
v64df y1 = VECTOR_INIT (0.0);
SET_HIGH_WORD (y1, hb, cond);
v64df y2 = b - y1;
v64df t1;
SET_HIGH_WORD (t1, ha + 0x00100000, cond);
v64df t2 = a - t1;
VECTOR_COND_MOVE (w, v64df_sqrt_aux (t1*y1 - (w*(-w) - (t1*y2 + t2*b)), __mask), cond);
VECTOR_ENDIF
VECTOR_IF (k != 0, cond)
v64si high;
v64df t1 = VECTOR_INIT (1.0);
GET_HIGH_WORD (high, t1, cond);
SET_HIGH_WORD (t1, high + (k << 20), cond);
VECTOR_RETURN (t1 * w, cond);
VECTOR_ELSE (cond)
VECTOR_RETURN (w, cond);
VECTOR_ENDIF
FUNCTION_RETURN;
}
DEF_VARIANTS2 (hypot, df, df)
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