1/*-
2 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
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20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
28__FBSDID("$FreeBSD: head/lib/msun/src/s_cexpf.c 226597 2011-10-21 06:27:56Z das $");
29
30#include <complex.h>
31#include <math.h>
32
33#include "math_private.h"
34
35static const uint32_t
36exp_ovfl = 0x42b17218, /* MAX_EXP * ln2 ~= 88.722839355 */
37cexp_ovfl = 0x43400074; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
38
39float complex
40cexpf(float complex z)
41{
42 float x, y, exp_x;
43 uint32_t hx, hy;
44
45 x = crealf(z);
46 y = cimagf(z);
47
48 GET_FLOAT_WORD(hy, y);
49 hy &= 0x7fffffff;
50
51 /* cexp(x + I 0) = exp(x) + I 0 */
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67 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
68 return (cpackf(x, y - y));
69 }
70 }
71
72 if (hx >= exp_ovfl && hx <= cexp_ovfl) {
73 /*
74 * x is between 88.7 and 192, so we must scale to avoid
75 * overflow in expf(x).
76 */
77 return (__ldexp_cexpf(z, 0));
78 } else {
79 /*
80 * Cases covered here:
81 * - x < exp_ovfl and exp(x) won't overflow (common case)
82 * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
83 * - x = +-Inf (generated by exp())
84 * - x = NaN (spurious inexact exception from y)
85 */
86 exp_x = expf(x);
87 return (cpackf(exp_x * cosf(y), exp_x * sinf(y)));
88 }
89}
2 * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
--- 11 unchanged lines hidden (view full) ---
20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
28__FBSDID("$FreeBSD: head/lib/msun/src/s_cexpf.c 226597 2011-10-21 06:27:56Z das $");
29
30#include <complex.h>
31#include <math.h>
32
33#include "math_private.h"
34
35static const uint32_t
36exp_ovfl = 0x42b17218, /* MAX_EXP * ln2 ~= 88.722839355 */
37cexp_ovfl = 0x43400074; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
38
39float complex
40cexpf(float complex z)
41{
42 float x, y, exp_x;
43 uint32_t hx, hy;
44
45 x = crealf(z);
46 y = cimagf(z);
47
48 GET_FLOAT_WORD(hy, y);
49 hy &= 0x7fffffff;
50
51 /* cexp(x + I 0) = exp(x) + I 0 */
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67 /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
68 return (cpackf(x, y - y));
69 }
70 }
71
72 if (hx >= exp_ovfl && hx <= cexp_ovfl) {
73 /*
74 * x is between 88.7 and 192, so we must scale to avoid
75 * overflow in expf(x).
76 */
77 return (__ldexp_cexpf(z, 0));
78 } else {
79 /*
80 * Cases covered here:
81 * - x < exp_ovfl and exp(x) won't overflow (common case)
82 * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
83 * - x = +-Inf (generated by exp())
84 * - x = NaN (spurious inexact exception from y)
85 */
86 exp_x = expf(x);
87 return (cpackf(exp_x * cosf(y), exp_x * sinf(y)));
88 }
89}