xref: /illumos-gate/usr/src/lib/libm/common/complex/csin.c (revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8)
1*25c28e83SPiotr Jasiukajtis /*
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8*25c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
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13*25c28e83SPiotr Jasiukajtis  * When distributing Covered Code, include this CDDL HEADER in each
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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 csin = __csin
31*25c28e83SPiotr Jasiukajtis 
32*25c28e83SPiotr Jasiukajtis /* INDENT OFF */
33*25c28e83SPiotr Jasiukajtis /*
34*25c28e83SPiotr Jasiukajtis  * dcomplex csin(dcomplex z);
35*25c28e83SPiotr Jasiukajtis  *
36*25c28e83SPiotr Jasiukajtis  * If z = x+iy, then since csin(iz) = i*csinh(z),  we have
37*25c28e83SPiotr Jasiukajtis  *
38*25c28e83SPiotr Jasiukajtis  * csin(z)	= csin((-1)*(-z)) = csin(i*i*(-z))
39*25c28e83SPiotr Jasiukajtis  *		= i*csinh(i*(-z)) = i*csinh(i*(-x-yi))
40*25c28e83SPiotr Jasiukajtis  *		= i*csinh(y-ix)
41*25c28e83SPiotr Jasiukajtis  *		= -Im(csinh(y-ix))+i*Re(csinh(y-ix))
42*25c28e83SPiotr Jasiukajtis  */
43*25c28e83SPiotr Jasiukajtis /* INDENT ON */
44*25c28e83SPiotr Jasiukajtis 
45*25c28e83SPiotr Jasiukajtis #include "libm.h"
46*25c28e83SPiotr Jasiukajtis #include "complex_wrapper.h"
47*25c28e83SPiotr Jasiukajtis 
48*25c28e83SPiotr Jasiukajtis dcomplex
49*25c28e83SPiotr Jasiukajtis csin(dcomplex z) {
50*25c28e83SPiotr Jasiukajtis 	double x, y;
51*25c28e83SPiotr Jasiukajtis 	dcomplex ans, ct;
52*25c28e83SPiotr Jasiukajtis 
53*25c28e83SPiotr Jasiukajtis 	x = D_RE(z);
54*25c28e83SPiotr Jasiukajtis 	y = D_IM(z);
55*25c28e83SPiotr Jasiukajtis 	D_RE(z) = y;
56*25c28e83SPiotr Jasiukajtis 	D_IM(z) = -x;
57*25c28e83SPiotr Jasiukajtis 	ct = csinh(z);
58*25c28e83SPiotr Jasiukajtis 	D_RE(ans) = -D_IM(ct);
59*25c28e83SPiotr Jasiukajtis 	D_IM(ans) = D_RE(ct);
60*25c28e83SPiotr Jasiukajtis 	return (ans);
61*25c28e83SPiotr Jasiukajtis }
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