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5261 libm should stop using synonyms.h
5298 fabs is 0-sized, confuses dis(1) and others
Reviewed by: Josef 'Jeff' Sipek <jeffpc@josefsipek.net>
Approved by: Gordon Ross <gwr@nexenta.com>


  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