| /* | |
| This Software is provided under the Zope Public License (ZPL) Version 2.1. | |
| Copyright (c) 2009, 2010 by the mingw-w64 project | |
| See the AUTHORS file for the list of contributors to the mingw-w64 project. | |
| This license has been certified as open source. It has also been designated | |
| as GPL compatible by the Free Software Foundation (FSF). | |
| Redistribution and use in source and binary forms, with or without | |
| modification, are permitted provided that the following conditions are met: | |
| 1. Redistributions in source code must retain the accompanying copyright | |
| notice, this list of conditions, and the following disclaimer. | |
| 2. Redistributions in binary form must reproduce the accompanying | |
| copyright notice, this list of conditions, and the following disclaimer | |
| in the documentation and/or other materials provided with the | |
| distribution. | |
| 3. Names of the copyright holders must not be used to endorse or promote | |
| products derived from this software without prior written permission | |
| from the copyright holders. | |
| 4. The right to distribute this software or to use it for any purpose does | |
| not give you the right to use Servicemarks (sm) or Trademarks (tm) of | |
| the copyright holders. Use of them is covered by separate agreement | |
| with the copyright holders. | |
| 5. If any files are modified, you must cause the modified files to carry | |
| prominent notices stating that you changed the files and the date of | |
| any change. | |
| Disclaimer | |
| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED | |
| OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES | |
| OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO | |
| EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT, | |
| INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | |
| LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, | |
| OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
| LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
| NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, | |
| EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
| */ | |
| #include "../complex/complex_internal.h" | |
| #include <errno.h> | |
| static long double c0 = 1.44268798828125L; // INV_LN2 | |
| static long double c1 = 7.05260771340735992468e-6L; | |
| static long double | |
| __expl_internal (long double x) | |
| { | |
| long double res = 0.0L; | |
| asm ("fldl2e\n\t" /* 1 log2(e) */ | |
| "fmul %%st(1),%%st\n\t" /* 1 x log2(e) */ | |
| #ifdef _WIN64 | |
| "subq $8, %%rsp\n" | |
| "fnstcw 4(%%rsp)\n" | |
| "movzwl 4(%%rsp), %%eax\n" | |
| "orb $12, %%ah\n" | |
| "movw %%ax, (%%rsp)\n" | |
| "fldcw (%%rsp)\n" | |
| "frndint\n\t" /* 1 i */ | |
| "fld %%st(1)\n\t" /* 2 x */ | |
| "frndint\n\t" /* 2 xi */ | |
| "fldcw 4(%%rsp)\n" | |
| "addq $8, %%rsp\n" | |
| #else | |
| "push %%eax\n\tsubl $8, %%esp\n" | |
| "fnstcw 4(%%esp)\n" | |
| "movzwl 4(%%esp), %%eax\n" | |
| "orb $12, %%ah\n" | |
| "movw %%ax, (%%esp)\n" | |
| "fldcw (%%esp)\n" | |
| "frndint\n\t" /* 1 i */ | |
| "fld %%st(1)\n\t" /* 2 x */ | |
| "frndint\n\t" /* 2 xi */ | |
| "fldcw 4(%%esp)\n" | |
| "addl $8, %%esp\n\tpop %%eax\n" | |
| #endif | |
| "fld %%st(1)\n\t" /* 3 i */ | |
| "fldt %2\n\t" /* 4 c0 */ | |
| "fld %%st(2)\n\t" /* 5 xi */ | |
| "fmul %%st(1),%%st\n\t" /* 5 c0 xi */ | |
| "fsubp %%st,%%st(2)\n\t" /* 4 f = c0 xi - i */ | |
| "fld %%st(4)\n\t" /* 5 x */ | |
| "fsub %%st(3),%%st\n\t" /* 5 xf = x - xi */ | |
| "fmulp %%st,%%st(1)\n\t" /* 4 c0 xf */ | |
| "faddp %%st,%%st(1)\n\t" /* 3 f = f + c0 xf */ | |
| "fldt %3\n\t" /* 4 */ | |
| "fmul %%st(4),%%st\n\t" /* 4 c1 * x */ | |
| "faddp %%st,%%st(1)\n\t" /* 3 f = f + c1 * x */ | |
| "f2xm1\n\t" /* 3 2^(fract(x * log2(e))) - 1 */ | |
| "fld1\n\t" /* 4 1.0 */ | |
| "faddp\n\t" /* 3 2^(fract(x * log2(e))) */ | |
| "fstp %%st(1)\n\t" /* 2 */ | |
| "fscale\n\t" /* 2 scale factor is st(1); e^x */ | |
| "fstp %%st(1)\n\t" /* 1 */ | |
| "fstp %%st(1)\n\t" /* 0 */ | |
| : "=t" (res) : "0" (x), "m" (c0), "m" (c1) : "ax", "dx"); | |
| return res; | |
| } | |
| __FLT_TYPE | |
| __FLT_ABI(exp) (__FLT_TYPE x) | |
| { | |
| int x_class = fpclassify (x); | |
| if (x_class == FP_NAN) | |
| { | |
| __FLT_RPT_DOMAIN ("exp", x, 0.0, x); | |
| return x; | |
| } | |
| else if (x_class == FP_INFINITE) | |
| { | |
| __FLT_TYPE r = (signbit (x) ? __FLT_CST (0.0) : __FLT_HUGE_VAL); | |
| __FLT_RPT_ERANGE ("exp", x, 0.0, r, signbit (x)); | |
| return r; | |
| } | |
| else if (x_class == FP_ZERO) | |
| { | |
| return __FLT_CST (1.0); | |
| } | |
| else if (x > __FLT_MAXLOG) | |
| { | |
| __FLT_RPT_ERANGE ("exp", x, 0.0, __FLT_HUGE_VAL, 1); | |
| return __FLT_HUGE_VAL; | |
| } | |
| else if (x < __FLT_MINLOG) | |
| { | |
| __FLT_RPT_ERANGE ("exp", x, 0.0, 0.0, 0); | |
| return __FLT_CST(0.0); | |
| } | |
| else | |
| return (__FLT_TYPE) __expl_internal ((long double) x); | |
| } |