| /* |
| 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 volatile ( |
| "fldl2e\n\t" /* 1 log2(e) */ |
| "fmul %%st(1),%%st\n\t" /* 1 x log2(e) */ |
| |
| #ifdef __x86_64__ |
| "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) |
| { |
| return __FLT_CST(0.0); |
| } |
| else |
| return (__FLT_TYPE) __expl_internal ((long double) x); |
| } |
