162 lines
3.7 KiB
C
162 lines
3.7 KiB
C
/* Complex sine function for float types.
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Copyright (C) 1997-2022 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 <complex.h>
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#include <fenv.h>
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#include <math.h>
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#include <math_private.h>
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#include <math-underflow.h>
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#include <float.h>
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CFLOAT
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M_DECL_FUNC (__csin) (CFLOAT x)
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{
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CFLOAT retval;
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int negate = signbit (__real__ x);
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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__real__ x = M_FABS (__real__ x);
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if (__glibc_likely (icls >= FP_ZERO))
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{
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/* Imaginary part is finite. */
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if (__glibc_likely (rcls >= FP_ZERO))
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{
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/* Real part is finite. */
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const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2));
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FLOAT sinix, cosix;
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if (__glibc_likely (__real__ x > M_MIN))
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{
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M_SINCOS (__real__ x, &sinix, &cosix);
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}
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else
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{
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sinix = __real__ x;
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cosix = 1;
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}
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if (negate)
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sinix = -sinix;
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if (M_FABS (__imag__ x) > t)
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{
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FLOAT exp_t = M_EXP (t);
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FLOAT ix = M_FABS (__imag__ x);
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if (signbit (__imag__ x))
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cosix = -cosix;
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ix -= t;
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sinix *= exp_t / 2;
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cosix *= exp_t / 2;
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if (ix > t)
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{
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ix -= t;
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sinix *= exp_t;
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cosix *= exp_t;
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}
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if (ix > t)
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{
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/* Overflow (original imaginary part of x > 3t). */
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__real__ retval = M_MAX * sinix;
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__imag__ retval = M_MAX * cosix;
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}
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else
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{
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FLOAT exp_val = M_EXP (ix);
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__real__ retval = exp_val * sinix;
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__imag__ retval = exp_val * cosix;
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}
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}
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else
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{
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__real__ retval = M_COSH (__imag__ x) * sinix;
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__imag__ retval = M_SINH (__imag__ x) * cosix;
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}
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math_check_force_underflow_complex (retval);
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}
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else
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{
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if (icls == FP_ZERO)
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{
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/* Imaginary part is 0.0. */
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__real__ retval = __real__ x - __real__ x;
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__imag__ retval = __imag__ x;
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}
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else
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{
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__real__ retval = M_NAN;
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__imag__ retval = M_NAN;
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feraiseexcept (FE_INVALID);
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}
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}
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}
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else if (icls == FP_INFINITE)
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{
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/* Imaginary part is infinite. */
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if (rcls == FP_ZERO)
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{
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/* Real part is 0.0. */
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__real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
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__imag__ retval = __imag__ x;
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}
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else if (rcls > FP_ZERO)
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{
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/* Real part is finite. */
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FLOAT sinix, cosix;
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if (__glibc_likely (__real__ x > M_MIN))
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{
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M_SINCOS (__real__ x, &sinix, &cosix);
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}
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else
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{
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sinix = __real__ x;
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cosix = 1;
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}
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__real__ retval = M_COPYSIGN (M_HUGE_VAL, sinix);
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__imag__ retval = M_COPYSIGN (M_HUGE_VAL, cosix);
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if (negate)
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__real__ retval = -__real__ retval;
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if (signbit (__imag__ x))
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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 - __real__ x;
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__imag__ retval = M_HUGE_VAL;
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}
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}
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else
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{
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if (rcls == FP_ZERO)
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__real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
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else
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__real__ retval = M_NAN;
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__imag__ retval = M_NAN;
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}
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return retval;
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}
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declare_mgen_alias (__csin, csin)
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