[Libclc-dev] [PATCH 6/9] Implement atanh builtin
Tom Stellard
thomas.stellard at amd.com
Thu Mar 12 13:11:43 PDT 2015
This implementation was ported from the AMD builtin library
and has been tested with piglit, OpenCV, and the ocl conformance tests.
---
generic/include/clc/clc.h | 1 +
generic/include/clc/math/atanh.h | 24 ++++++++
generic/include/clc/math/atanh.inc | 23 ++++++++
generic/lib/SOURCES | 1 +
generic/lib/math/atanh.cl | 113 +++++++++++++++++++++++++++++++++++++
5 files changed, 162 insertions(+)
create mode 100644 generic/include/clc/math/atanh.h
create mode 100644 generic/include/clc/math/atanh.inc
create mode 100644 generic/lib/math/atanh.cl
diff --git a/generic/include/clc/clc.h b/generic/include/clc/clc.h
index eb870bd..dabec45 100644
--- a/generic/include/clc/clc.h
+++ b/generic/include/clc/clc.h
@@ -40,6 +40,7 @@
#include <clc/math/asinpi.h>
#include <clc/math/atan.h>
#include <clc/math/atan2.h>
+#include <clc/math/atanh.h>
#include <clc/math/copysign.h>
#include <clc/math/cos.h>
#include <clc/math/ceil.h>
diff --git a/generic/include/clc/math/atanh.h b/generic/include/clc/math/atanh.h
new file mode 100644
index 0000000..1a3173f
--- /dev/null
+++ b/generic/include/clc/math/atanh.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/atanh.inc>
+#include <clc/math/gentype.inc>
diff --git a/generic/include/clc/math/atanh.inc b/generic/include/clc/math/atanh.inc
new file mode 100644
index 0000000..216e78a
--- /dev/null
+++ b/generic/include/clc/math/atanh.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 atanh(__CLC_GENTYPE x);
diff --git a/generic/lib/SOURCES b/generic/lib/SOURCES
index e6bc95b..eb932ca 100644
--- a/generic/lib/SOURCES
+++ b/generic/lib/SOURCES
@@ -69,6 +69,7 @@ math/asinh.cl
math/asinpi.cl
math/atan.cl
math/atan2.cl
+math/atanh.cl
math/copysign.cl
math/cos.cl
math/ep_log.cl
diff --git a/generic/lib/math/atanh.cl b/generic/lib/math/atanh.cl
new file mode 100644
index 0000000..4af2f45
--- /dev/null
+++ b/generic/lib/math/atanh.cl
@@ -0,0 +1,113 @@
+/*
+ * 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 "../clcmacro.h"
+
+_CLC_OVERLOAD _CLC_DEF float atanh(float x) {
+ uint ux = as_uint(x);
+ uint ax = ux & EXSIGNBIT_SP32;
+ uint xs = ux ^ ax;
+
+ // |x| > 1 or NaN
+ float z = as_float(QNANBITPATT_SP32);
+
+ // |x| == 1
+ float t = as_float(xs | PINFBITPATT_SP32);
+ z = ax == 0x3f800000U ? t : z;
+
+ // 1/2 <= |x| < 1
+ t = as_float(ax);
+ t = MATH_DIVIDE(2.0f*t, 1.0f - t);
+ t = 0.5f * log1p(t);
+ t = as_float(xs | as_uint(t));
+ z = ax < 0x3f800000U ? t : z;
+
+ // |x| < 1/2
+ t = x * x;
+ float a = mad(mad(0.92834212715e-2f, t, -0.28120347286e0f), t, 0.39453629046e0f);
+ float b = mad(mad(0.45281890445e0f, t, -0.15537744551e1f), t, 0.11836088638e1f);
+ float p = MATH_DIVIDE(a, b);
+ t = mad(x*t, p, x);
+ z = ax < 0x3f000000 ? t : z;
+
+ // |x| < 2^-13
+ z = ax < 0x39000000U ? x : z;
+
+ return z;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, atanh, float)
+
+#ifdef cl_khr_fp64
+#pragma OPENCL EXTENSION cl_khr_fp64 : enable
+
+_CLC_OVERLOAD _CLC_DEF double atanh(double x) {
+ double absx = fabs(x);
+
+ double ret = absx == 1.0 ? as_double(PINFBITPATT_DP64) : as_double(QNANBITPATT_DP64);
+
+ // |x| >= 0.5
+ // Note that atanh(x) = 0.5 * ln((1+x)/(1-x))
+ // For greater accuracy we use
+ // ln((1+x)/(1-x)) = ln(1 + 2x/(1-x)) = log1p(2x/(1-x)).
+ double r = 0.5 * log1p(2.0 * absx / (1.0 - absx));
+ ret = absx < 1.0 ? r : ret;
+
+ r = -ret;
+ ret = x < 0.0 ? r : ret;
+
+ // Arguments up to 0.5 in magnitude are
+ // approximated by a [5,5] minimax polynomial
+ double t = x * x;
+
+ double pn = fma(t,
+ fma(t,
+ fma(t,
+ fma(t,
+ fma(t, -0.10468158892753136958e-3, 0.28728638600548514553e-1),
+ -0.28180210961780814148e0),
+ 0.88468142536501647470e0),
+ -0.11028356797846341457e1),
+ 0.47482573589747356373e0);
+
+ double pd = fma(t,
+ fma(t,
+ fma(t,
+ fma(t,
+ fma(t, -0.35861554370169537512e-1, 0.49561196555503101989e0),
+ -0.22608883748988489342e1),
+ 0.45414700626084508355e1),
+ -0.41631933639693546274e1),
+ 0.14244772076924206909e1);
+
+ r = fma(x*t, pn/pd, x);
+ ret = absx < 0.5 ? r : ret;
+
+ return ret;
+}
+
+_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, atanh, double)
+
+#endif
--
2.0.4
More information about the Libclc-dev
mailing list