/* * Copyright (c) 2014 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 #include "math.h" #include "sincos_helpers.h" #include "../clcmacro.h" #include "tables.h" _CLC_DEF _CLC_OVERLOAD float __clc_tanpi(float x) { int ix = as_int(x); int xsgn = ix & 0x80000000; int xnsgn = xsgn ^ 0x80000000; ix ^= xsgn; float ax = as_float(ix); int iax = (int)ax; float r = ax - iax; int xodd = xsgn ^ (iax & 0x1 ? 0x80000000 : 0); // Initialize with return for +-Inf and NaN int ir = 0x7fc00000; // 2^24 <= |x| < Inf, the result is always even integer ir = ix < 0x7f800000 ? xsgn : ir; // 2^23 <= |x| < 2^24, the result is always integer ir = ix < 0x4b800000 ? xodd : ir; // 0x1.0p-7 <= |x| < 2^23, result depends on which 0.25 interval // r < 1.0 float a = 1.0f - r; int e = 0; int s = xnsgn; // r <= 0.75 int c = r <= 0.75f; a = c ? r - 0.5f : a; e = c ? 1 : e; s = c ? xsgn : s; // r < 0.5 c = r < 0.5f; a = c ? 0.5f - r : a; s = c ? xnsgn : s; // 0 < r <= 0.25 c = r <= 0.25f; a = c ? r : a; e = c ? 0 : e; s = c ? xsgn : s; float t = __clc_tanf_piby4(a * M_PI_F, 0); float tr = -native_recip(t); int jr = s ^ as_int(e ? tr : t); jr = r == 0.5f ? xodd | 0x7f800000 : jr; ir = ix < 0x4b000000 ? jr : ir; return as_float(ir); } _CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_tanpi, float); #ifdef cl_khr_fp64 #include "sincosD_piby4.h" _CLC_DEF _CLC_OVERLOAD double __clc_tanpi(double x) { long ix = as_long(x); long xsgn = ix & 0x8000000000000000L; long xnsgn = xsgn ^ 0x8000000000000000L; ix ^= xsgn; double ax = as_double(ix); long iax = (long)ax; double r = ax - iax; long xodd = xsgn ^ (iax & 0x1 ? 0x8000000000000000L : 0L); // Initialize with return for +-Inf and NaN long ir = 0x7ff8000000000000L; // 2^53 <= |x| < Inf, the result is always even integer ir = ix < 0x7ff0000000000000L ? xsgn : ir; // 2^52 <= |x| < 2^53, the result is always integer ir = ix < 0x4340000000000000L ? xodd : ir; // 0x1.0p-14 <= |x| < 2^53, result depends on which 0.25 interval // r < 1.0 double a = 1.0 - r; int e = 0; long s = xnsgn; // r <= 0.75 int c = r <= 0.75; double t = r - 0.5; a = c ? t : a; e = c ? 1 : e; s = c ? xsgn : s; // r < 0.5 c = r < 0.5; t = 0.5 - r; a = c ? t : a; s = c ? xnsgn : s; // r <= 0.25 c = r <= 0.25; a = c ? r : a; e = c ? 0 : e; s = c ? xsgn : s; double api = a * M_PI; double2 tt = __clc_tan_piby4(api, 0.0); long jr = s ^ as_long(e ? tt.hi : tt.lo); long si = xodd | 0x7ff0000000000000L; jr = r == 0.5 ? si : jr; ir = ix < 0x4330000000000000L ? jr : ir; return as_double(ir); } _CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, double, __clc_tanpi, double); #endif