clc_hypot.cl
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/*
* Copyright (c) 2014 Advanced Micro Devices, Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#include <clc/clc.h>
#include <math/clc_hypot.h>
#include "config.h"
#include "math.h"
#include "../clcmacro.h"
// Returns sqrt(x*x + y*y) with no overflow or underflow unless the result warrants it
_CLC_DEF _CLC_OVERLOAD float __clc_hypot(float x, float y)
{
uint ux = as_uint(x);
uint aux = ux & EXSIGNBIT_SP32;
uint uy = as_uint(y);
uint auy = uy & EXSIGNBIT_SP32;
float retval;
int c = aux > auy;
ux = c ? aux : auy;
uy = c ? auy : aux;
int xexp = clamp((int)(ux >> EXPSHIFTBITS_SP32) - EXPBIAS_SP32, -126, 126);
float fx_exp = as_float((xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32);
float fi_exp = as_float((-xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32);
float fx = as_float(ux) * fi_exp;
float fy = as_float(uy) * fi_exp;
retval = sqrt(mad(fx, fx, fy*fy)) * fx_exp;
retval = ux > PINFBITPATT_SP32 | uy == 0 ? as_float(ux) : retval;
retval = ux == PINFBITPATT_SP32 | uy == PINFBITPATT_SP32 ? as_float(PINFBITPATT_SP32) : retval;
return retval;
}
_CLC_BINARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_hypot, float, float)
#ifdef cl_khr_fp64
_CLC_DEF _CLC_OVERLOAD double __clc_hypot(double x, double y)
{
ulong ux = as_ulong(x) & ~SIGNBIT_DP64;
int xexp = ux >> EXPSHIFTBITS_DP64;
x = as_double(ux);
ulong uy = as_ulong(y) & ~SIGNBIT_DP64;
int yexp = uy >> EXPSHIFTBITS_DP64;
y = as_double(uy);
int c = xexp > EXPBIAS_DP64 + 500 | yexp > EXPBIAS_DP64 + 500;
double preadjust = c ? 0x1.0p-600 : 1.0;
double postadjust = c ? 0x1.0p+600 : 1.0;
c = xexp < EXPBIAS_DP64 - 500 | yexp < EXPBIAS_DP64 - 500;
preadjust = c ? 0x1.0p+600 : preadjust;
postadjust = c ? 0x1.0p-600 : postadjust;
double ax = x * preadjust;
double ay = y * preadjust;
// The post adjust may overflow, but this can't be avoided in any case
double r = sqrt(fma(ax, ax, ay*ay)) * postadjust;
// If the difference in exponents between x and y is large
double s = x + y;
c = abs(xexp - yexp) > MANTLENGTH_DP64 + 1;
r = c ? s : r;
// Check for NaN
//c = x != x | y != y;
c = isnan(x) | isnan(y);
r = c ? as_double(QNANBITPATT_DP64) : r;
// If either is Inf, we must return Inf
c = x == as_double(PINFBITPATT_DP64) | y == as_double(PINFBITPATT_DP64);
r = c ? as_double(PINFBITPATT_DP64) : r;
return r;
}
_CLC_BINARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, double, __clc_hypot, double, double)
#endif