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