138 lines
5.0 KiB
C
138 lines
5.0 KiB
C
/*
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This Software is provided under the Zope Public License (ZPL) Version 2.1.
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Copyright (c) 2009, 2010 by the mingw-w64 project
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See the AUTHORS file for the list of contributors to the mingw-w64 project.
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This license has been certified as open source. It has also been designated
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as GPL compatible by the Free Software Foundation (FSF).
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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1. Redistributions in source code must retain the accompanying copyright
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notice, this list of conditions, and the following disclaimer.
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2. Redistributions in binary form must reproduce the accompanying
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copyright notice, this list of conditions, and the following disclaimer
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in the documentation and/or other materials provided with the
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distribution.
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3. Names of the copyright holders must not be used to endorse or promote
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products derived from this software without prior written permission
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from the copyright holders.
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4. The right to distribute this software or to use it for any purpose does
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not give you the right to use Servicemarks (sm) or Trademarks (tm) of
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the copyright holders. Use of them is covered by separate agreement
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with the copyright holders.
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5. If any files are modified, you must cause the modified files to carry
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prominent notices stating that you changed the files and the date of
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any change.
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Disclaimer
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED
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OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
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EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT,
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INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
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OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
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EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#include "complex_internal.h"
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#include <errno.h>
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static long double c0 = 1.44268798828125L; // INV_LN2
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static long double c1 = 7.05260771340735992468e-6L;
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static long double
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__expl_internal (long double x)
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{
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long double res = 0.0L;
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asm volatile (
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"fldl2e\n\t" /* 1 log2(e) */
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"fmul %%st(1),%%st\n\t" /* 1 x log2(e) */
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#ifdef __x86_64__
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"subq $8, %%rsp\n"
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"fnstcw 4(%%rsp)\n"
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"movzwl 4(%%rsp), %%eax\n"
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"orb $12, %%ah\n"
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"movw %%ax, (%%rsp)\n"
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"fldcw (%%rsp)\n"
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"frndint\n\t" /* 1 i */
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"fld %%st(1)\n\t" /* 2 x */
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"frndint\n\t" /* 2 xi */
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"fldcw 4(%%rsp)\n"
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"addq $8, %%rsp\n"
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#else
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"push %%eax\n\tsubl $8, %%esp\n"
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"fnstcw 4(%%esp)\n"
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"movzwl 4(%%esp), %%eax\n"
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"orb $12, %%ah\n"
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"movw %%ax, (%%esp)\n"
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"fldcw (%%esp)\n"
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"frndint\n\t" /* 1 i */
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"fld %%st(1)\n\t" /* 2 x */
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"frndint\n\t" /* 2 xi */
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"fldcw 4(%%esp)\n"
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"addl $8, %%esp\n\tpop %%eax\n"
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#endif
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"fld %%st(1)\n\t" /* 3 i */
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"fldt %2\n\t" /* 4 c0 */
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"fld %%st(2)\n\t" /* 5 xi */
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"fmul %%st(1),%%st\n\t" /* 5 c0 xi */
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"fsubp %%st,%%st(2)\n\t" /* 4 f = c0 xi - i */
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"fld %%st(4)\n\t" /* 5 x */
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"fsub %%st(3),%%st\n\t" /* 5 xf = x - xi */
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"fmulp %%st,%%st(1)\n\t" /* 4 c0 xf */
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"faddp %%st,%%st(1)\n\t" /* 3 f = f + c0 xf */
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"fldt %3\n\t" /* 4 */
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"fmul %%st(4),%%st\n\t" /* 4 c1 * x */
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"faddp %%st,%%st(1)\n\t" /* 3 f = f + c1 * x */
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"f2xm1\n\t" /* 3 2^(fract(x * log2(e))) - 1 */
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"fld1\n\t" /* 4 1.0 */
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"faddp\n\t" /* 3 2^(fract(x * log2(e))) */
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"fstp %%st(1)\n\t" /* 2 */
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"fscale\n\t" /* 2 scale factor is st(1); e^x */
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"fstp %%st(1)\n\t" /* 1 */
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"fstp %%st(1)\n\t" /* 0 */
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: "=t" (res) : "0" (x), "m" (c0), "m" (c1) : "ax", "dx");
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return res;
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}
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__FLT_TYPE
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__FLT_ABI(exp) (__FLT_TYPE x)
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{
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int x_class = fpclassify (x);
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if (x_class == FP_NAN)
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{
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errno = EDOM;
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return x;
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}
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else if (x_class == FP_INFINITE)
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{
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__FLT_TYPE r = (signbit (x) ? __FLT_CST (0.0) : __FLT_HUGE_VAL);
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errno = ERANGE;
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return r;
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}
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else if (x_class == FP_ZERO)
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{
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return __FLT_CST (1.0);
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}
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else if (x > __FLT_MAXLOG)
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{
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errno = ERANGE;
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return __FLT_HUGE_VAL;
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}
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else if (x < __FLT_MINLOG)
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{
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return __FLT_CST(0.0);
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}
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else
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return (__FLT_TYPE) __expl_internal ((long double) x);
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}
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