tan: Port from amd_builtins
v2: fixup constant precision Passes piglit on turks and carrizo. Passes CTS on carrizo Fixes half_tan to pass CTS on carrizo Acked-By: Aaron Watry <awatry@gmail.com> Tested-By: Aaron Watry <awatry@gmail.com> Signed-off-by: Jan Vesely <jan.vesely@rutgers.edu> llvm-svn: 322979
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5
libclc/generic/include/math/clc_tan.h
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libclc/generic/include/math/clc_tan.h
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@ -0,0 +1,5 @@
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#define __CLC_FUNCTION __clc_tan
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#define __CLC_BODY <clc/math/unary_decl.inc>
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#include <clc/math/gentype.inc>
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#undef __CLC_BODY
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#undef __CLC_FUNCTION
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@ -164,6 +164,7 @@ math/sinh.cl
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math/sinpi.cl
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math/clc_sqrt.cl
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math/sqrt.cl
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math/clc_tan.cl
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math/tan.cl
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math/tanh.cl
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math/tgamma.cl
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libclc/generic/lib/math/clc_sw_unary.inc
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libclc/generic/lib/math/clc_sw_unary.inc
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#include <utils.h>
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#define __CLC_SW_FUNC(x) __CLC_CONCAT(__clc_, x)
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_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE __CLC_FUNC(__CLC_GENTYPE x) {
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return __CLC_SW_FUNC(__CLC_FUNC)(x);
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}
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#undef __CLC_SW_FUNC
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libclc/generic/lib/math/clc_tan.cl
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libclc/generic/lib/math/clc_tan.cl
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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.h"
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#include "sincos_helpers.h"
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#include "../clcmacro.h"
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#include "tables.h"
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_CLC_DEF _CLC_OVERLOAD float __clc_tan(float x)
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{
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int ix = as_int(x);
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int ax = ix & 0x7fffffff;
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float dx = as_float(ax);
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float r0, r1;
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int regn = __clc_argReductionS(&r0, &r1, dx);
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float t = __clc_tanf_piby4(r0 + r1, regn);
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t = as_float(as_int(t) ^ (ix ^ ax));
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t = ax >= PINFBITPATT_SP32 ? as_float(QNANBITPATT_SP32) : t;
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//Take care of subnormals
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t = (x == 0.0f) ? x : t;
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return t;
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}
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_CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_tan, float);
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#ifdef cl_khr_fp64
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#include "sincosD_piby4.h"
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_CLC_DEF _CLC_OVERLOAD double __clc_tan(double x)
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{
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double y = fabs(x);
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double r, rr;
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int regn;
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if (y < 0x1.0p+30)
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__clc_remainder_piby2_medium(y, &r, &rr, ®n);
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else
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__clc_remainder_piby2_large(y, &r, &rr, ®n);
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double2 tt = __clc_tan_piby4(r, rr);
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int2 t = as_int2(regn & 1 ? tt.y : tt.x);
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t.hi ^= (x < 0.0) << 31;
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return isnan(x) || isinf(x) ? as_double(QNANBITPATT_DP64) : as_double(t);
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}
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_CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, double, __clc_tan, double);
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#endif
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@ -76,3 +76,58 @@ __libclc__sincos_piby4(double x, double xx)
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return ret;
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}
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_CLC_INLINE double2
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__clc_tan_piby4(double x, double xx)
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{
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const double piby4_lead = 7.85398163397448278999e-01; // 0x3fe921fb54442d18
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const double piby4_tail = 3.06161699786838240164e-17; // 0x3c81a62633145c06
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// In order to maintain relative precision transform using the identity:
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// tan(pi/4-x) = (1-tan(x))/(1+tan(x)) for arguments close to pi/4.
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// Similarly use tan(x-pi/4) = (tan(x)-1)/(tan(x)+1) close to -pi/4.
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int ca = x > 0.68;
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int cb = x < -0.68;
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double transform = ca ? 1.0 : 0.0;
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transform = cb ? -1.0 : transform;
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double tx = fma(-transform, x, piby4_lead) + fma(-transform, xx, piby4_tail);
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int c = ca | cb;
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x = c ? tx : x;
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xx = c ? 0.0 : xx;
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// Core Remez [2,3] approximation to tan(x+xx) on the interval [0,0.68].
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double t1 = x;
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double r = fma(2.0, x*xx, x*x);
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double a = fma(r,
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fma(r, 0.224044448537022097264602535574e-3, -0.229345080057565662883358588111e-1),
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0.372379159759792203640806338901e0);
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double b = fma(r,
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fma(r,
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fma(r, -0.232371494088563558304549252913e-3, 0.260656620398645407524064091208e-1),
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-0.515658515729031149329237816945e0),
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0.111713747927937668539901657944e1);
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double t2 = fma(MATH_DIVIDE(a, b), x*r, xx);
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double tp = t1 + t2;
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// Compute -1.0/(t1 + t2) accurately
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double z1 = as_double(as_long(tp) & 0xffffffff00000000L);
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double z2 = t2 - (z1 - t1);
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double trec = -MATH_RECIP(tp);
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double trec_top = as_double(as_long(trec) & 0xffffffff00000000L);
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double tpr = fma(fma(trec_top, z2, fma(trec_top, z1, 1.0)), trec, trec_top);
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double tpt = transform * (1.0 - MATH_DIVIDE(2.0*tp, 1.0 + tp));
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double tptr = transform * (MATH_DIVIDE(2.0*tp, tp - 1.0) - 1.0);
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double2 ret;
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ret.lo = c ? tpt : tp;
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ret.hi = c ? tptr : tpr;
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return ret;
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}
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@ -90,6 +90,23 @@ _CLC_DEF float __clc_cosf_piby4(float x, float y) {
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return ret;
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}
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_CLC_DEF float __clc_tanf_piby4(float x, int regn)
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{
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// Core Remez [1,2] approximation to tan(x) on the interval [0,pi/4].
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float r = x * x;
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float a = mad(r, -0.0172032480471481694693109f, 0.385296071263995406715129f);
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float b = mad(r,
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mad(r, 0.01844239256901656082986661f, -0.51396505478854532132342f),
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1.15588821434688393452299f);
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float t = mad(x*r, native_divide(a, b), x);
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float tr = -MATH_RECIP(t);
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return regn & 1 ? tr : t;
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}
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_CLC_DEF void __clc_fullMulS(float *hi, float *lo, float a, float b, float bh, float bt)
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{
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if (HAVE_HW_FMA32()) {
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@ -20,8 +20,11 @@
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* THE SOFTWARE.
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*/
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#include "clc/clcfunc.h"
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_CLC_DECL float __clc_sinf_piby4(float x, float y);
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_CLC_DECL float __clc_cosf_piby4(float x, float y);
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_CLC_DECL float __clc_tanf_piby4(float x, int y);
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_CLC_DECL int __clc_argReductionS(float *r, float *rr, float x);
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#ifdef cl_khr_fp64
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@ -1,8 +1,7 @@
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#include <clc/clc.h>
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#ifdef cl_khr_fp64
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#pragma OPENCL EXTENSION cl_khr_fp64 : enable
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#endif
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#include <math/clc_tan.h>
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#define __CLC_BODY <tan.inc>
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#define __CLC_FUNC tan
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#define __CLC_BODY <clc_sw_unary.inc>
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#include <clc/math/gentype.inc>
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@ -1,17 +0,0 @@
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/*
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* Note: tan(x) = sin(x)/cos(x) also, but the final assembly ends up being
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* twice as long for R600 (maybe for others as well).
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*/
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#if __CLC_FPSIZE == 32
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#define __CLC_CONST(x) x ## f
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#else
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#define __CLC_CONST(x) x
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#endif
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_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE tan(__CLC_GENTYPE x) {
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__CLC_GENTYPE sinx = sin(x);
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return sinx / sqrt( (__CLC_GENTYPE) __CLC_CONST(1.0) - (sinx*sinx) );
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}
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#undef __CLC_CONST
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