[libclc] r237138 - Implement atan2pi builtin
Tom Stellard
thomas.stellard at amd.com
Tue May 12 07:48:26 PDT 2015
Author: tstellar
Date: Tue May 12 09:48:26 2015
New Revision: 237138
URL: http://llvm.org/viewvc/llvm-project?rev=237138&view=rev
Log:
Implement atan2pi builtin
This implementation was ported from the AMD builtin library
and has been tested with piglit, OpenCV, and the ocl conformance tests.
Added:
libclc/trunk/generic/include/clc/math/atan2pi.h
libclc/trunk/generic/include/clc/math/atan2pi.inc
libclc/trunk/generic/lib/math/atan2pi.cl
Modified:
libclc/trunk/generic/include/clc/clc.h
libclc/trunk/generic/lib/SOURCES
Modified: libclc/trunk/generic/include/clc/clc.h
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/clc.h?rev=237138&r1=237137&r2=237138&view=diff
==============================================================================
--- libclc/trunk/generic/include/clc/clc.h (original)
+++ libclc/trunk/generic/include/clc/clc.h Tue May 12 09:48:26 2015
@@ -40,6 +40,7 @@
#include <clc/math/asinpi.h>
#include <clc/math/atan.h>
#include <clc/math/atan2.h>
+#include <clc/math/atan2pi.h>
#include <clc/math/atanh.h>
#include <clc/math/atanpi.h>
#include <clc/math/copysign.h>
Added: libclc/trunk/generic/include/clc/math/atan2pi.h
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/math/atan2pi.h?rev=237138&view=auto
==============================================================================
--- libclc/trunk/generic/include/clc/math/atan2pi.h (added)
+++ libclc/trunk/generic/include/clc/math/atan2pi.h Tue May 12 09:48:26 2015
@@ -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>
Added: libclc/trunk/generic/include/clc/math/atan2pi.inc
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/include/clc/math/atan2pi.inc?rev=237138&view=auto
==============================================================================
--- libclc/trunk/generic/include/clc/math/atan2pi.inc (added)
+++ libclc/trunk/generic/include/clc/math/atan2pi.inc Tue May 12 09:48:26 2015
@@ -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);
Modified: libclc/trunk/generic/lib/SOURCES
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/lib/SOURCES?rev=237138&r1=237137&r2=237138&view=diff
==============================================================================
--- libclc/trunk/generic/lib/SOURCES (original)
+++ libclc/trunk/generic/lib/SOURCES Tue May 12 09:48:26 2015
@@ -70,6 +70,7 @@ math/asinh.cl
math/asinpi.cl
math/atan.cl
math/atan2.cl
+math/atan2pi.cl
math/atanh.cl
math/atanpi.cl
math/copysign.cl
Added: libclc/trunk/generic/lib/math/atan2pi.cl
URL: http://llvm.org/viewvc/llvm-project/libclc/trunk/generic/lib/math/atan2pi.cl?rev=237138&view=auto
==============================================================================
--- libclc/trunk/generic/lib/math/atan2pi.cl (added)
+++ libclc/trunk/generic/lib/math/atan2pi.cl Tue May 12 09:48:26 2015
@@ -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
More information about the cfe-commits
mailing list