/* Complex exponential function. m68k fpu version Copyright (C) 1997-2021 Free Software Foundation, Inc. This file is part of the GNU C Library. Contributed by Andreas Schwab The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU C Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU C Library. If not, see . */ #include #include #include #include "mathimpl.h" #define CONCATX(a,b) __CONCAT(a,b) #define s(name) M_SUF (name) #define m81(func) __m81_u(s(func)) CFLOAT s(__cexp) (CFLOAT x) { CFLOAT retval; unsigned long ix_cond; ix_cond = __m81_test (__imag__ x); if ((ix_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0) { /* Imaginary part is finite. */ unsigned long rx_cond = __m81_test (__real__ x); if ((rx_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0) { const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); long double sin_ix, cos_ix, exp_val; __m81_u (__sincosl) (__imag__ x, &sin_ix, &cos_ix); if (__real__ x > t) { long double exp_t = __m81_u(__ieee754_expl) (t); __real__ x -= t; sin_ix *= exp_t; cos_ix *= exp_t; if (__real__ x > t) { __real__ x -= t; sin_ix *= exp_t; cos_ix *= exp_t; } } exp_val = __m81_u(__ieee754_expl) (__real__ x); __real__ retval = exp_val * cos_ix; if (ix_cond & __M81_COND_ZERO) __imag__ retval = __imag__ x; else __imag__ retval = exp_val * sin_ix; } else { /* Compute the sign of the result. */ long double remainder, pi_2; int quadrant; if ((rx_cond & (__M81_COND_NAN|__M81_COND_NEG)) == __M81_COND_NEG) __real__ retval = __imag__ retval = 0.0; else __real__ retval = __imag__ retval = __real__ x; __asm ("fmovecr %#0,%0\n\tfscale%.w %#-1,%0" : "=f" (pi_2)); __asm ("fmod%.x %2,%0\n\tfmove%.l %/fpsr,%1" : "=f" (remainder), "=dm" (quadrant) : "f" (pi_2), "0" (__imag__ x)); quadrant = (quadrant >> 16) & 0x83; if (quadrant & 0x80) quadrant ^= 0x83; switch (quadrant) { default: break; case 1: __real__ retval = -__real__ retval; break; case 2: __real__ retval = -__real__ retval; /* Fall through. */ case 3: __imag__ retval = -__imag__ retval; break; } if (ix_cond & __M81_COND_ZERO && (rx_cond & __M81_COND_NAN) == 0) __imag__ retval = __imag__ x; } } else { unsigned long rx_cond = __m81_test (__real__ x); if (rx_cond & __M81_COND_INF) { /* Real part is infinite. */ if (rx_cond & __M81_COND_NEG) { __real__ retval = __imag__ retval = 0.0; if (ix_cond & __M81_COND_NEG) __imag__ retval = -__imag__ retval; } else { __real__ retval = __real__ x; __imag__ retval = __imag__ x - __imag__ x; } } else __real__ retval = __imag__ retval = __imag__ x - __imag__ x; } return retval; } declare_mgen_alias (__cexp, cexp)