forked from OSchip/llvm-project
Implement atan2pi builtin
This implementation was ported from the AMD builtin library and has been tested with piglit, OpenCV, and the ocl conformance tests. llvm-svn: 237138
This commit is contained in:
parent
1a66c0ba53
commit
37406a209c
|
@ -40,6 +40,7 @@
|
||||||
#include <clc/math/asinpi.h>
|
#include <clc/math/asinpi.h>
|
||||||
#include <clc/math/atan.h>
|
#include <clc/math/atan.h>
|
||||||
#include <clc/math/atan2.h>
|
#include <clc/math/atan2.h>
|
||||||
|
#include <clc/math/atan2pi.h>
|
||||||
#include <clc/math/atanh.h>
|
#include <clc/math/atanh.h>
|
||||||
#include <clc/math/atanpi.h>
|
#include <clc/math/atanpi.h>
|
||||||
#include <clc/math/copysign.h>
|
#include <clc/math/copysign.h>
|
||||||
|
|
|
@ -0,0 +1,24 @@
|
||||||
|
/*
|
||||||
|
* Copyright (c) 2014, 2015 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.
|
||||||
|
*/
|
||||||
|
|
||||||
|
#define __CLC_BODY <clc/math/atan2pi.inc>
|
||||||
|
#include <clc/math/gentype.inc>
|
|
@ -0,0 +1,23 @@
|
||||||
|
/*
|
||||||
|
* Copyright (c) 2014, 2015 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.
|
||||||
|
*/
|
||||||
|
|
||||||
|
_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE atan2pi(__CLC_GENTYPE x, __CLC_GENTYPE y);
|
|
@ -70,6 +70,7 @@ math/asinh.cl
|
||||||
math/asinpi.cl
|
math/asinpi.cl
|
||||||
math/atan.cl
|
math/atan.cl
|
||||||
math/atan2.cl
|
math/atan2.cl
|
||||||
|
math/atan2pi.cl
|
||||||
math/atanh.cl
|
math/atanh.cl
|
||||||
math/atanpi.cl
|
math/atanpi.cl
|
||||||
math/copysign.cl
|
math/copysign.cl
|
||||||
|
|
|
@ -0,0 +1,221 @@
|
||||||
|
/*
|
||||||
|
* Copyright (c) 2014,2015 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.h"
|
||||||
|
#include "tables.h"
|
||||||
|
#include "../clcmacro.h"
|
||||||
|
|
||||||
|
_CLC_OVERLOAD _CLC_DEF float atan2pi(float y, float x) {
|
||||||
|
const float pi = 0x1.921fb6p+1f;
|
||||||
|
|
||||||
|
float ax = fabs(x);
|
||||||
|
float ay = fabs(y);
|
||||||
|
float v = min(ax, ay);
|
||||||
|
float u = max(ax, ay);
|
||||||
|
|
||||||
|
// Scale since u could be large, as in "regular" divide
|
||||||
|
float s = u > 0x1.0p+96f ? 0x1.0p-32f : 1.0f;
|
||||||
|
float vbyu = s * MATH_DIVIDE(v, s*u);
|
||||||
|
|
||||||
|
float vbyu2 = vbyu * vbyu;
|
||||||
|
|
||||||
|
float p = mad(vbyu2, mad(vbyu2, -0x1.7e1f78p-9f, -0x1.7d1b98p-3f), -0x1.5554d0p-2f) * vbyu2 * vbyu;
|
||||||
|
float q = mad(vbyu2, mad(vbyu2, 0x1.1a714cp-2f, 0x1.287c56p+0f), 1.0f);
|
||||||
|
|
||||||
|
// Octant 0 result
|
||||||
|
float a = MATH_DIVIDE(mad(p, MATH_RECIP(q), vbyu), pi);
|
||||||
|
|
||||||
|
// Fix up 3 other octants
|
||||||
|
float at = 0.5f - a;
|
||||||
|
a = ay > ax ? at : a;
|
||||||
|
at = 1.0f - a;
|
||||||
|
a = x < 0.0F ? at : a;
|
||||||
|
|
||||||
|
// y == 0 => 0 for x >= 0, pi for x < 0
|
||||||
|
at = as_int(x) < 0 ? 1.0f : 0.0f;
|
||||||
|
a = y == 0.0f ? at : a;
|
||||||
|
|
||||||
|
// if (!FINITE_ONLY()) {
|
||||||
|
// x and y are +- Inf
|
||||||
|
at = x > 0.0f ? 0.25f : 0.75f;
|
||||||
|
a = ax == INFINITY & ay == INFINITY ? at : a;
|
||||||
|
|
||||||
|
// x or y is NaN
|
||||||
|
a = isnan(x) | isnan(y) ? as_float(QNANBITPATT_SP32) : a;
|
||||||
|
// }
|
||||||
|
|
||||||
|
// Fixup sign and return
|
||||||
|
return copysign(a, y);
|
||||||
|
}
|
||||||
|
|
||||||
|
_CLC_BINARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, atan2pi, float, float)
|
||||||
|
|
||||||
|
#ifdef cl_khr_fp64
|
||||||
|
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
|
||||||
|
|
||||||
|
_CLC_OVERLOAD _CLC_DEF double atan2pi(double y, double x) {
|
||||||
|
const double pi = 3.1415926535897932e+00; /* 0x400921fb54442d18 */
|
||||||
|
const double pi_head = 3.1415926218032836e+00; /* 0x400921fb50000000 */
|
||||||
|
const double pi_tail = 3.1786509547056392e-08; /* 0x3e6110b4611a6263 */
|
||||||
|
const double piby2_head = 1.5707963267948965e+00; /* 0x3ff921fb54442d18 */
|
||||||
|
const double piby2_tail = 6.1232339957367660e-17; /* 0x3c91a62633145c07 */
|
||||||
|
|
||||||
|
double x2 = x;
|
||||||
|
int xneg = as_int2(x).hi < 0;
|
||||||
|
int xexp = (as_int2(x).hi >> 20) & 0x7ff;
|
||||||
|
|
||||||
|
double y2 = y;
|
||||||
|
int yneg = as_int2(y).hi < 0;
|
||||||
|
int yexp = (as_int2(y).hi >> 20) & 0x7ff;
|
||||||
|
|
||||||
|
int cond2 = (xexp < 1021) & (yexp < 1021);
|
||||||
|
int diffexp = yexp - xexp;
|
||||||
|
|
||||||
|
// Scale up both x and y if they are both below 1/4
|
||||||
|
double x1 = ldexp(x, 1024);
|
||||||
|
int xexp1 = (as_int2(x1).hi >> 20) & 0x7ff;
|
||||||
|
double y1 = ldexp(y, 1024);
|
||||||
|
int yexp1 = (as_int2(y1).hi >> 20) & 0x7ff;
|
||||||
|
int diffexp1 = yexp1 - xexp1;
|
||||||
|
|
||||||
|
diffexp = cond2 ? diffexp1 : diffexp;
|
||||||
|
x = cond2 ? x1 : x;
|
||||||
|
y = cond2 ? y1 : y;
|
||||||
|
|
||||||
|
// General case: take absolute values of arguments
|
||||||
|
double u = fabs(x);
|
||||||
|
double v = fabs(y);
|
||||||
|
|
||||||
|
// Swap u and v if necessary to obtain 0 < v < u. Compute v/u.
|
||||||
|
int swap_vu = u < v;
|
||||||
|
double uu = u;
|
||||||
|
u = swap_vu ? v : u;
|
||||||
|
v = swap_vu ? uu : v;
|
||||||
|
|
||||||
|
double vbyu = v / u;
|
||||||
|
double q1, q2;
|
||||||
|
|
||||||
|
// General values of v/u. Use a look-up table and series expansion.
|
||||||
|
|
||||||
|
{
|
||||||
|
double val = vbyu > 0.0625 ? vbyu : 0.063;
|
||||||
|
int index = convert_int(fma(256.0, val, 0.5));
|
||||||
|
double2 tv = USE_TABLE(atan_jby256_tbl, (index - 16));
|
||||||
|
q1 = tv.s0;
|
||||||
|
q2 = tv.s1;
|
||||||
|
double c = (double)index * 0x1.0p-8;
|
||||||
|
|
||||||
|
// We're going to scale u and v by 2^(-u_exponent) to bring them close to 1
|
||||||
|
// u_exponent could be EMAX so we have to do it in 2 steps
|
||||||
|
int m = -((int)(as_ulong(u) >> EXPSHIFTBITS_DP64) - EXPBIAS_DP64);
|
||||||
|
double um = ldexp(u, m);
|
||||||
|
double vm = ldexp(v, m);
|
||||||
|
|
||||||
|
// 26 leading bits of u
|
||||||
|
double u1 = as_double(as_ulong(um) & 0xfffffffff8000000UL);
|
||||||
|
double u2 = um - u1;
|
||||||
|
|
||||||
|
double r = MATH_DIVIDE(fma(-c, u2, fma(-c, u1, vm)), fma(c, vm, um));
|
||||||
|
|
||||||
|
// Polynomial approximation to atan(r)
|
||||||
|
double s = r * r;
|
||||||
|
q2 = q2 + fma((s * fma(-s, 0.19999918038989143496, 0.33333333333224095522)), -r, r);
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
double q3, q4;
|
||||||
|
{
|
||||||
|
q3 = 0.0;
|
||||||
|
q4 = vbyu;
|
||||||
|
}
|
||||||
|
|
||||||
|
double q5, q6;
|
||||||
|
{
|
||||||
|
double u1 = as_double(as_ulong(u) & 0xffffffff00000000UL);
|
||||||
|
double u2 = u - u1;
|
||||||
|
double vu1 = as_double(as_ulong(vbyu) & 0xffffffff00000000UL);
|
||||||
|
double vu2 = vbyu - vu1;
|
||||||
|
|
||||||
|
q5 = 0.0;
|
||||||
|
double s = vbyu * vbyu;
|
||||||
|
q6 = vbyu + fma(-vbyu * s,
|
||||||
|
fma(-s,
|
||||||
|
fma(-s,
|
||||||
|
fma(-s,
|
||||||
|
fma(-s, 0.90029810285449784439E-01,
|
||||||
|
0.11110736283514525407),
|
||||||
|
0.14285713561807169030),
|
||||||
|
0.19999999999393223405),
|
||||||
|
0.33333333333333170500),
|
||||||
|
MATH_DIVIDE(fma(-u, vu2, fma(-u2, vu1, fma(-u1, vu1, v))), u));
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
q3 = vbyu < 0x1.d12ed0af1a27fp-27 ? q3 : q5;
|
||||||
|
q4 = vbyu < 0x1.d12ed0af1a27fp-27 ? q4 : q6;
|
||||||
|
|
||||||
|
q1 = vbyu > 0.0625 ? q1 : q3;
|
||||||
|
q2 = vbyu > 0.0625 ? q2 : q4;
|
||||||
|
|
||||||
|
// Tidy-up according to which quadrant the arguments lie in
|
||||||
|
double res1, res2, res3, res4;
|
||||||
|
q1 = swap_vu ? piby2_head - q1 : q1;
|
||||||
|
q2 = swap_vu ? piby2_tail - q2 : q2;
|
||||||
|
q1 = xneg ? pi_head - q1 : q1;
|
||||||
|
q2 = xneg ? pi_tail - q2 : q2;
|
||||||
|
q1 = MATH_DIVIDE(q1 + q2, pi);
|
||||||
|
res4 = yneg ? -q1 : q1;
|
||||||
|
|
||||||
|
res1 = yneg ? -0.75 : 0.75;
|
||||||
|
res2 = yneg ? -0.25 : 0.25;
|
||||||
|
res3 = xneg ? res1 : res2;
|
||||||
|
|
||||||
|
res3 = isinf(y2) & isinf(x2) ? res3 : res4;
|
||||||
|
res1 = yneg ? -1.0 : 1.0;
|
||||||
|
|
||||||
|
// abs(x)/abs(y) > 2^56 and x < 0
|
||||||
|
res3 = (diffexp < -56 && xneg) ? res1 : res3;
|
||||||
|
|
||||||
|
res4 = MATH_DIVIDE(MATH_DIVIDE(y, x), pi);
|
||||||
|
// x positive and dominant over y by a factor of 2^28
|
||||||
|
res3 = diffexp < -28 & xneg == 0 ? res4 : res3;
|
||||||
|
|
||||||
|
// abs(y)/abs(x) > 2^56
|
||||||
|
res4 = yneg ? -0.5 : 0.5; // atan(y/x) is insignificant compared to piby2
|
||||||
|
res3 = diffexp > 56 ? res4 : res3;
|
||||||
|
|
||||||
|
res3 = x2 == 0.0 ? res4 : res3; // Zero x gives +- pi/2 depending on sign of y
|
||||||
|
res4 = xneg ? res1 : y2;
|
||||||
|
|
||||||
|
res3 = y2 == 0.0 ? res4 : res3; // Zero y gives +-0 for positive x and +-pi for negative x
|
||||||
|
res3 = isnan(y2) ? y2 : res3;
|
||||||
|
res3 = isnan(x2) ? x2 : res3;
|
||||||
|
|
||||||
|
return res3;
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
_CLC_BINARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, atan2pi, double, double)
|
||||||
|
|
||||||
|
#endif
|
Loading…
Reference in New Issue