1 | /* Complex exponential function. m68k fpu version |
2 | Copyright (C) 1997-2024 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | |
5 | The GNU C Library is free software; you can redistribute it and/or |
6 | modify it under the terms of the GNU Lesser General Public |
7 | License as published by the Free Software Foundation; either |
8 | version 2.1 of the License, or (at your option) any later version. |
9 | |
10 | The GNU C Library is distributed in the hope that it will be useful, |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
13 | Lesser General Public License for more details. |
14 | |
15 | You should have received a copy of the GNU Lesser General Public |
16 | License along with the GNU C Library. If not, see |
17 | <https://www.gnu.org/licenses/>. */ |
18 | |
19 | #include <float.h> |
20 | #include <complex.h> |
21 | #include <math.h> |
22 | #include "mathimpl.h" |
23 | |
24 | #define CONCATX(a,b) __CONCAT(a,b) |
25 | #define s(name) M_SUF (name) |
26 | #define m81(func) __m81_u(s(func)) |
27 | |
28 | CFLOAT |
29 | s(__cexp) (CFLOAT x) |
30 | { |
31 | CFLOAT retval; |
32 | unsigned long ix_cond; |
33 | |
34 | ix_cond = __m81_test (val: __imag__ x); |
35 | |
36 | if ((ix_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0) |
37 | { |
38 | /* Imaginary part is finite. */ |
39 | unsigned long rx_cond = __m81_test (val: __real__ x); |
40 | |
41 | if ((rx_cond & (__M81_COND_NAN|__M81_COND_INF)) == 0) |
42 | { |
43 | const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l); |
44 | long double sin_ix, cos_ix, exp_val; |
45 | |
46 | __m81_u (__sincosl) (x: __imag__ x, sinx: &sin_ix, cosx: &cos_ix); |
47 | |
48 | if (__real__ x > t) |
49 | { |
50 | long double exp_t = __m81_u(__ieee754_expl) (mathop_x: t); |
51 | __real__ x -= t; |
52 | sin_ix *= exp_t; |
53 | cos_ix *= exp_t; |
54 | if (__real__ x > t) |
55 | { |
56 | __real__ x -= t; |
57 | sin_ix *= exp_t; |
58 | cos_ix *= exp_t; |
59 | } |
60 | } |
61 | |
62 | exp_val = __m81_u(__ieee754_expl) (mathop_x: __real__ x); |
63 | __real__ retval = exp_val * cos_ix; |
64 | if (ix_cond & __M81_COND_ZERO) |
65 | __imag__ retval = __imag__ x; |
66 | else |
67 | __imag__ retval = exp_val * sin_ix; |
68 | } |
69 | else |
70 | { |
71 | /* Compute the sign of the result. */ |
72 | long double remainder, pi_2; |
73 | int quadrant; |
74 | |
75 | if ((rx_cond & (__M81_COND_NAN|__M81_COND_NEG)) == __M81_COND_NEG) |
76 | __real__ retval = __imag__ retval = 0.0; |
77 | else |
78 | __real__ retval = __imag__ retval = __real__ x; |
79 | __asm ("fmovecr %#0,%0\n\tfscale%.w %#-1,%0" : "=f" (pi_2)); |
80 | __asm ("fmod%.x %2,%0\n\tfmove%.l %/fpsr,%1" |
81 | : "=f" (remainder), "=dm" (quadrant) |
82 | : "f" (pi_2), "0" (__imag__ x)); |
83 | quadrant = (quadrant >> 16) & 0x83; |
84 | if (quadrant & 0x80) |
85 | quadrant ^= 0x83; |
86 | switch (quadrant) |
87 | { |
88 | default: |
89 | break; |
90 | case 1: |
91 | __real__ retval = -__real__ retval; |
92 | break; |
93 | case 2: |
94 | __real__ retval = -__real__ retval; |
95 | /* Fall through. */ |
96 | case 3: |
97 | __imag__ retval = -__imag__ retval; |
98 | break; |
99 | } |
100 | if (ix_cond & __M81_COND_ZERO && (rx_cond & __M81_COND_NAN) == 0) |
101 | __imag__ retval = __imag__ x; |
102 | } |
103 | } |
104 | else |
105 | { |
106 | unsigned long rx_cond = __m81_test (val: __real__ x); |
107 | |
108 | if (rx_cond & __M81_COND_INF) |
109 | { |
110 | /* Real part is infinite. */ |
111 | if (rx_cond & __M81_COND_NEG) |
112 | { |
113 | __real__ retval = __imag__ retval = 0.0; |
114 | if (ix_cond & __M81_COND_NEG) |
115 | __imag__ retval = -__imag__ retval; |
116 | } |
117 | else |
118 | { |
119 | __real__ retval = __real__ x; |
120 | __imag__ retval = __imag__ x - __imag__ x; |
121 | } |
122 | } |
123 | else |
124 | __real__ retval = __imag__ retval = __imag__ x - __imag__ x; |
125 | } |
126 | |
127 | return retval; |
128 | } |
129 | declare_mgen_alias (__cexp, cexp) |
130 | |