xref: /illumos-gate/usr/src/lib/libm/common/complex/cexpl.c (revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8)
1*25c28e83SPiotr Jasiukajtis /*
2*25c28e83SPiotr Jasiukajtis  * CDDL HEADER START
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8*25c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
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20*25c28e83SPiotr Jasiukajtis  */
21*25c28e83SPiotr Jasiukajtis 
22*25c28e83SPiotr Jasiukajtis /*
23*25c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24*25c28e83SPiotr Jasiukajtis  */
25*25c28e83SPiotr Jasiukajtis /*
26*25c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27*25c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
28*25c28e83SPiotr Jasiukajtis  */
29*25c28e83SPiotr Jasiukajtis 
30*25c28e83SPiotr Jasiukajtis #pragma weak cexpl = __cexpl
31*25c28e83SPiotr Jasiukajtis 
32*25c28e83SPiotr Jasiukajtis #include "libm.h"		/* expl/isinfl/iszerol/scalbnl/sincosl */
33*25c28e83SPiotr Jasiukajtis #include "complex_wrapper.h"
34*25c28e83SPiotr Jasiukajtis 
35*25c28e83SPiotr Jasiukajtis extern int isinfl(long double);
36*25c28e83SPiotr Jasiukajtis extern int iszerol(long double);
37*25c28e83SPiotr Jasiukajtis 
38*25c28e83SPiotr Jasiukajtis /* INDENT OFF */
39*25c28e83SPiotr Jasiukajtis static const long double zero = 0.0L;
40*25c28e83SPiotr Jasiukajtis /* INDENT ON */
41*25c28e83SPiotr Jasiukajtis 
42*25c28e83SPiotr Jasiukajtis ldcomplex
43*25c28e83SPiotr Jasiukajtis cexpl(ldcomplex z) {
44*25c28e83SPiotr Jasiukajtis 	ldcomplex ans;
45*25c28e83SPiotr Jasiukajtis 	long double x, y, t, c, s;
46*25c28e83SPiotr Jasiukajtis 	int n, ix, iy, hx, hy;
47*25c28e83SPiotr Jasiukajtis 
48*25c28e83SPiotr Jasiukajtis 	x = LD_RE(z);
49*25c28e83SPiotr Jasiukajtis 	y = LD_IM(z);
50*25c28e83SPiotr Jasiukajtis 	hx = HI_XWORD(x);
51*25c28e83SPiotr Jasiukajtis 	hy = HI_XWORD(y);
52*25c28e83SPiotr Jasiukajtis 	ix = hx & 0x7fffffff;
53*25c28e83SPiotr Jasiukajtis 	iy = hy & 0x7fffffff;
54*25c28e83SPiotr Jasiukajtis 	if (iszerol(y)) {	/* y = 0 */
55*25c28e83SPiotr Jasiukajtis 		LD_RE(ans) = expl(x);
56*25c28e83SPiotr Jasiukajtis 		LD_IM(ans) = y;
57*25c28e83SPiotr Jasiukajtis 	} else if (isinfl(x)) {	/* x is +-inf */
58*25c28e83SPiotr Jasiukajtis 		if (hx < 0) {
59*25c28e83SPiotr Jasiukajtis 			if (iy >= 0x7fff0000) {
60*25c28e83SPiotr Jasiukajtis 				LD_RE(ans) = zero;
61*25c28e83SPiotr Jasiukajtis 				LD_IM(ans) = zero;
62*25c28e83SPiotr Jasiukajtis 			} else {
63*25c28e83SPiotr Jasiukajtis 				sincosl(y, &s, &c);
64*25c28e83SPiotr Jasiukajtis 				LD_RE(ans) = zero * c;
65*25c28e83SPiotr Jasiukajtis 				LD_IM(ans) = zero * s;
66*25c28e83SPiotr Jasiukajtis 			}
67*25c28e83SPiotr Jasiukajtis 		} else {
68*25c28e83SPiotr Jasiukajtis 			if (iy >= 0x7fff0000) {
69*25c28e83SPiotr Jasiukajtis 				LD_RE(ans) = x;
70*25c28e83SPiotr Jasiukajtis 				LD_IM(ans) = y - y;
71*25c28e83SPiotr Jasiukajtis 			} else {
72*25c28e83SPiotr Jasiukajtis 				(void) sincosl(y, &s, &c);
73*25c28e83SPiotr Jasiukajtis 				LD_RE(ans) = x * c;
74*25c28e83SPiotr Jasiukajtis 				LD_IM(ans) = x * s;
75*25c28e83SPiotr Jasiukajtis 			}
76*25c28e83SPiotr Jasiukajtis 		}
77*25c28e83SPiotr Jasiukajtis 	} else {
78*25c28e83SPiotr Jasiukajtis 		(void) sincosl(y, &s, &c);
79*25c28e83SPiotr Jasiukajtis 		if (ix >= 0x400C62E4) {	/* |x| > 11356.52... ~ log(2**16384) */
80*25c28e83SPiotr Jasiukajtis 			t = __k_cexpl(x, &n);
81*25c28e83SPiotr Jasiukajtis 			LD_RE(ans) = scalbnl(t * c, n);
82*25c28e83SPiotr Jasiukajtis 			LD_IM(ans) = scalbnl(t * s, n);
83*25c28e83SPiotr Jasiukajtis 		} else {
84*25c28e83SPiotr Jasiukajtis 			t = expl(x);
85*25c28e83SPiotr Jasiukajtis 			LD_RE(ans) = t * c;
86*25c28e83SPiotr Jasiukajtis 			LD_IM(ans) = t * s;
87*25c28e83SPiotr Jasiukajtis 		}
88*25c28e83SPiotr Jasiukajtis 	}
89*25c28e83SPiotr Jasiukajtis 	return (ans);
90*25c28e83SPiotr Jasiukajtis }
91