10 * See the License for the specific language governing permissions
11 * and limitations under the License.
12 *
13 * When distributing Covered Code, include this CDDL HEADER in each
14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 * If applicable, add the following below this CDDL HEADER, with the
16 * fields enclosed by brackets "[]" replaced with your own identifying
17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 *
19 * CDDL HEADER END
20 */
21
22 /*
23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
24 */
25 /*
26 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
27 * Use is subject to license terms.
28 */
29
30 #pragma weak sincospi = __sincospi
31
32 /* INDENT OFF */
33 /*
34 * void sincospi(double x, double *s, double *c)
35 * *s = sin(pi*x); *c = cos(pi*x);
36 *
37 * Algorithm, 10/17/2002, K.C. Ng
38 * ------------------------------
39 * Let y = |4x|, z = floor(y), and n = (int)(z mod 8.0) (displayed in binary).
40 * 1. If y == z, then x is a multiple of pi/4. Return the following values:
41 * ---------------------------------------------------
42 * n x mod 2 sin(x*pi) cos(x*pi) tan(x*pi)
43 * ---------------------------------------------------
44 * 000 0.00 +0 ___ +1 ___ +0
45 * 001 0.25 +\/0.5 +\/0.5 +1
46 * 010 0.50 +1 ___ +0 ___ +inf
47 * 011 0.75 +\/0.5 -\/0.5 -1
48 * 100 1.00 -0 ___ -1 ___ +0
49 * 101 1.25 -\/0.5 -\/0.5 +1
50 * 110 1.50 -1 ___ -0 ___ +inf
51 * 111 1.75 -\/0.5 +\/0.5 -1
55 * n t sin(x*pi) cos(x*pi) tan(x*pi)
56 * ---------------------------------------------------
57 * 000 (y-z)/4 sinpi(t) cospi(t) tanpi(t)
58 * 001 (z+1-y)/4 cospi(t) sinpi(t) 1/tanpi(t)
59 * 010 (y-z)/4 cospi(t) -sinpi(t) -1/tanpi(t)
60 * 011 (z+1-y)/4 sinpi(t) -cospi(t) -tanpi(t)
61 * 100 (y-z)/4 -sinpi(t) -cospi(t) tanpi(t)
62 * 101 (z+1-y)/4 -cospi(t) -sinpi(t) 1/tanpi(t)
63 * 110 (y-z)/4 -cospi(t) sinpi(t) -1/tanpi(t)
64 * 111 (z+1-y)/4 -sinpi(t) cospi(t) -tanpi(t)
65 * ---------------------------------------------------
66 *
67 * NOTE. This program compute sinpi/cospi(t<0.25) by __k_sin/cos(pi*t, 0.0).
68 * This will return a result with error slightly more than one ulp (but less
69 * than 2 ulp). If one wants accurate result, one may break up pi*t in
70 * high (tpi_h) and low (tpi_l) parts and call __k_sin/cos(tip_h, tip_lo)
71 * instead.
72 */
73
74 #include "libm.h"
75 #include "libm_synonyms.h"
76 #include "libm_protos.h"
77 #include "libm_macros.h"
78 #include <math.h>
79 #if defined(__SUNPRO_C)
80 #include <sunmath.h>
81 #endif
82
83 static const double
84 pi = 3.14159265358979323846, /* 400921FB,54442D18 */
85 sqrth_h = 0.70710678118654757273731092936941422522068023681640625,
86 sqrth_l = -4.8336466567264565185935844299127932213411660131004e-17;
87 /* INDENT ON */
88
89 void
90 sincospi(double x, double *s, double *c) {
91 double y, z, t;
92 int n, ix, k;
93 int hx = ((int *) &x)[HIWORD];
94 unsigned h, lx = ((unsigned *) &x)[LOWORD];
95
|
10 * See the License for the specific language governing permissions
11 * and limitations under the License.
12 *
13 * When distributing Covered Code, include this CDDL HEADER in each
14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 * If applicable, add the following below this CDDL HEADER, with the
16 * fields enclosed by brackets "[]" replaced with your own identifying
17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 *
19 * CDDL HEADER END
20 */
21
22 /*
23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
24 */
25 /*
26 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
27 * Use is subject to license terms.
28 */
29
30 /* INDENT OFF */
31 /*
32 * void sincospi(double x, double *s, double *c)
33 * *s = sin(pi*x); *c = cos(pi*x);
34 *
35 * Algorithm, 10/17/2002, K.C. Ng
36 * ------------------------------
37 * Let y = |4x|, z = floor(y), and n = (int)(z mod 8.0) (displayed in binary).
38 * 1. If y == z, then x is a multiple of pi/4. Return the following values:
39 * ---------------------------------------------------
40 * n x mod 2 sin(x*pi) cos(x*pi) tan(x*pi)
41 * ---------------------------------------------------
42 * 000 0.00 +0 ___ +1 ___ +0
43 * 001 0.25 +\/0.5 +\/0.5 +1
44 * 010 0.50 +1 ___ +0 ___ +inf
45 * 011 0.75 +\/0.5 -\/0.5 -1
46 * 100 1.00 -0 ___ -1 ___ +0
47 * 101 1.25 -\/0.5 -\/0.5 +1
48 * 110 1.50 -1 ___ -0 ___ +inf
49 * 111 1.75 -\/0.5 +\/0.5 -1
53 * n t sin(x*pi) cos(x*pi) tan(x*pi)
54 * ---------------------------------------------------
55 * 000 (y-z)/4 sinpi(t) cospi(t) tanpi(t)
56 * 001 (z+1-y)/4 cospi(t) sinpi(t) 1/tanpi(t)
57 * 010 (y-z)/4 cospi(t) -sinpi(t) -1/tanpi(t)
58 * 011 (z+1-y)/4 sinpi(t) -cospi(t) -tanpi(t)
59 * 100 (y-z)/4 -sinpi(t) -cospi(t) tanpi(t)
60 * 101 (z+1-y)/4 -cospi(t) -sinpi(t) 1/tanpi(t)
61 * 110 (y-z)/4 -cospi(t) sinpi(t) -1/tanpi(t)
62 * 111 (z+1-y)/4 -sinpi(t) cospi(t) -tanpi(t)
63 * ---------------------------------------------------
64 *
65 * NOTE. This program compute sinpi/cospi(t<0.25) by __k_sin/cos(pi*t, 0.0).
66 * This will return a result with error slightly more than one ulp (but less
67 * than 2 ulp). If one wants accurate result, one may break up pi*t in
68 * high (tpi_h) and low (tpi_l) parts and call __k_sin/cos(tip_h, tip_lo)
69 * instead.
70 */
71
72 #include "libm.h"
73 #include "libm_protos.h"
74 #include "libm_macros.h"
75 #include <math.h>
76 #if defined(__SUNPRO_C)
77 #include <sunmath.h>
78 #endif
79
80 static const double
81 pi = 3.14159265358979323846, /* 400921FB,54442D18 */
82 sqrth_h = 0.70710678118654757273731092936941422522068023681640625,
83 sqrth_l = -4.8336466567264565185935844299127932213411660131004e-17;
84 /* INDENT ON */
85
86 void
87 sincospi(double x, double *s, double *c) {
88 double y, z, t;
89 int n, ix, k;
90 int hx = ((int *) &x)[HIWORD];
91 unsigned h, lx = ((unsigned *) &x)[LOWORD];
92
|