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130 lines
3.4 KiB
C
130 lines
3.4 KiB
C
/* Complex exponential function. m68k fpu version
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Copyright (C) 1997-2023 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library. If not, see
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<https://www.gnu.org/licenses/>. */
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#include <float.h>
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#include <complex.h>
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#include <math.h>
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#include "mathimpl.h"
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#define CONCATX(a,b) __CONCAT(a,b)
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#define s(name) M_SUF (name)
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#define m81(func) __m81_u(s(func))
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CFLOAT
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s(__cexp) (CFLOAT x)
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{
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CFLOAT retval;
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unsigned long ix_cond;
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ix_cond = __m81_test (__imag__ x);
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if ((ix_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0)
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{
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/* Imaginary part is finite. */
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unsigned long rx_cond = __m81_test (__real__ x);
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if ((rx_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0)
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{
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const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l);
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long double sin_ix, cos_ix, exp_val;
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__m81_u (__sincosl) (__imag__ x, &sin_ix, &cos_ix);
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if (__real__ x > t)
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{
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long double exp_t = __m81_u(__ieee754_expl) (t);
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__real__ x -= t;
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sin_ix *= exp_t;
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cos_ix *= exp_t;
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if (__real__ x > t)
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{
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__real__ x -= t;
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sin_ix *= exp_t;
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cos_ix *= exp_t;
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}
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}
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exp_val = __m81_u(__ieee754_expl) (__real__ x);
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__real__ retval = exp_val * cos_ix;
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if (ix_cond & __M81_COND_ZERO)
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__imag__ retval = __imag__ x;
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else
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__imag__ retval = exp_val * sin_ix;
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}
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else
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{
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/* Compute the sign of the result. */
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long double remainder, pi_2;
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int quadrant;
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if ((rx_cond & (__M81_COND_NAN|__M81_COND_NEG)) == __M81_COND_NEG)
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__real__ retval = __imag__ retval = 0.0;
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else
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__real__ retval = __imag__ retval = __real__ x;
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__asm ("fmovecr %#0,%0\n\tfscale%.w %#-1,%0" : "=f" (pi_2));
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__asm ("fmod%.x %2,%0\n\tfmove%.l %/fpsr,%1"
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: "=f" (remainder), "=dm" (quadrant)
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: "f" (pi_2), "0" (__imag__ x));
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quadrant = (quadrant >> 16) & 0x83;
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if (quadrant & 0x80)
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quadrant ^= 0x83;
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switch (quadrant)
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{
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default:
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break;
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case 1:
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__real__ retval = -__real__ retval;
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break;
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case 2:
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__real__ retval = -__real__ retval;
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/* Fall through. */
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case 3:
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__imag__ retval = -__imag__ retval;
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break;
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}
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if (ix_cond & __M81_COND_ZERO && (rx_cond & __M81_COND_NAN) == 0)
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__imag__ retval = __imag__ x;
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}
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}
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else
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{
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unsigned long rx_cond = __m81_test (__real__ x);
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if (rx_cond & __M81_COND_INF)
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{
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/* Real part is infinite. */
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if (rx_cond & __M81_COND_NEG)
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{
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__real__ retval = __imag__ retval = 0.0;
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if (ix_cond & __M81_COND_NEG)
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__imag__ retval = -__imag__ retval;
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}
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else
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{
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__real__ retval = __real__ x;
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__imag__ retval = __imag__ x - __imag__ x;
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}
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}
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else
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__real__ retval = __imag__ retval = __imag__ x - __imag__ x;
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}
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return retval;
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}
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declare_mgen_alias (__cexp, cexp)
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