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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 sincospil = __sincospil
  31 
  32 /*
  33  * void sincospil(long double x, long double *s, long double *c)
  34  * *s = sinl(pi*x); *c = cosl(pi*x);
  35  *
  36  * Algorithm, 10/17/2002, K.C. Ng
  37  * ------------------------------
  38  * Let y = |4x|, z = floor(y), and n = (int)(z mod 8.0) (displayed in binary).
  39  *      1. If y == z, then x is a multiple of pi/4. Return the following values:
  40  *             ---------------------------------------------------
  41  *               n  x mod 2    sin(x*pi)    cos(x*pi)   tan(x*pi)
  42  *             ---------------------------------------------------
  43  *              000  0.00       +0 ___       +1 ___      +0
  44  *              001  0.25       +\/0.5       +\/0.5      +1
  45  *              010  0.50       +1 ___       +0 ___      +inf
  46  *              011  0.75       +\/0.5       -\/0.5      -1
  47  *              100  1.00       -0 ___       -1 ___      +0
  48  *              101  1.25       -\/0.5       -\/0.5      +1
  49  *              110  1.50       -1 ___       -0 ___      +inf
  50  *              111  1.75       -\/0.5       +\/0.5      -1
  51  *             ---------------------------------------------------


  54  *               n     t        sin(x*pi)    cos(x*pi)   tan(x*pi)
  55  *             ---------------------------------------------------
  56  *              000  (y-z)/4     sinpi(t)     cospi(t)    tanpi(t)
  57  *              001  (z+1-y)/4   cospi(t)     sinpi(t)    1/tanpi(t)
  58  *              010  (y-z)/4     cospi(t)    -sinpi(t)   -1/tanpi(t)
  59  *              011  (z+1-y)/4   sinpi(t)    -cospi(t)   -tanpi(t)
  60  *              100  (y-z)/4    -sinpi(t)    -cospi(t)    tanpi(t)
  61  *              101  (z+1-y)/4  -cospi(t)    -sinpi(t)    1/tanpi(t)
  62  *              110  (y-z)/4    -cospi(t)     sinpi(t)   -1/tanpi(t)
  63  *              111  (z+1-y)/4  -sinpi(t)     cospi(t)   -tanpi(t)
  64  *             ---------------------------------------------------
  65  *
  66  * NOTE. This program compute sinpi/cospi(t<0.25) by __k_sin/cos(pi*t, 0.0).
  67  * This will return a result with error slightly more than one ulp (but less
  68  * than 2 ulp). If one wants accurate result,  one may break up pi*t in
  69  * high (tpi_h) and low (tpi_l) parts and call __k_sin/cos(tip_h, tip_lo)
  70  * instead.
  71  */
  72 
  73 #include "libm.h"
  74 #include "libm_synonyms.h"
  75 #include "longdouble.h"
  76 
  77 #include <sys/isa_defs.h>
  78 
  79 #define I(q, m) ((int *) &(q))[m]
  80 #define U(q, m) ((unsigned *) &(q))[m]
  81 #if defined(__i386) || defined(__amd64)
  82 #define LDBL_MOST_SIGNIF_I(ld)  ((I(ld, 2) << 16) | (0xffff & (I(ld, 1) >> 15)))
  83 #define LDBL_LEAST_SIGNIF_U(ld) U(ld, 0)
  84 #define PREC    64
  85 #define PRECM1  63
  86 #define PRECM2  62
  87 static const long double twoPRECM2 = 9.223372036854775808000000000000000e+18L;
  88 #else
  89 #define LDBL_MOST_SIGNIF_I(ld)  I(ld, 0)
  90 #define LDBL_LEAST_SIGNIF_U(ld) U(ld, sizeof(long double) / sizeof(int) - 1)
  91 #define PREC    113
  92 #define PRECM1  112
  93 #define PRECM2  111
  94 static const long double twoPRECM2 = 5.192296858534827628530496329220096e+33L;




  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 /*
  31  * void sincospil(long double x, long double *s, long double *c)
  32  * *s = sinl(pi*x); *c = cosl(pi*x);
  33  *
  34  * Algorithm, 10/17/2002, K.C. Ng
  35  * ------------------------------
  36  * Let y = |4x|, z = floor(y), and n = (int)(z mod 8.0) (displayed in binary).
  37  *      1. If y == z, then x is a multiple of pi/4. Return the following values:
  38  *             ---------------------------------------------------
  39  *               n  x mod 2    sin(x*pi)    cos(x*pi)   tan(x*pi)
  40  *             ---------------------------------------------------
  41  *              000  0.00       +0 ___       +1 ___      +0
  42  *              001  0.25       +\/0.5       +\/0.5      +1
  43  *              010  0.50       +1 ___       +0 ___      +inf
  44  *              011  0.75       +\/0.5       -\/0.5      -1
  45  *              100  1.00       -0 ___       -1 ___      +0
  46  *              101  1.25       -\/0.5       -\/0.5      +1
  47  *              110  1.50       -1 ___       -0 ___      +inf
  48  *              111  1.75       -\/0.5       +\/0.5      -1
  49  *             ---------------------------------------------------


  52  *               n     t        sin(x*pi)    cos(x*pi)   tan(x*pi)
  53  *             ---------------------------------------------------
  54  *              000  (y-z)/4     sinpi(t)     cospi(t)    tanpi(t)
  55  *              001  (z+1-y)/4   cospi(t)     sinpi(t)    1/tanpi(t)
  56  *              010  (y-z)/4     cospi(t)    -sinpi(t)   -1/tanpi(t)
  57  *              011  (z+1-y)/4   sinpi(t)    -cospi(t)   -tanpi(t)
  58  *              100  (y-z)/4    -sinpi(t)    -cospi(t)    tanpi(t)
  59  *              101  (z+1-y)/4  -cospi(t)    -sinpi(t)    1/tanpi(t)
  60  *              110  (y-z)/4    -cospi(t)     sinpi(t)   -1/tanpi(t)
  61  *              111  (z+1-y)/4  -sinpi(t)     cospi(t)   -tanpi(t)
  62  *             ---------------------------------------------------
  63  *
  64  * NOTE. This program compute sinpi/cospi(t<0.25) by __k_sin/cos(pi*t, 0.0).
  65  * This will return a result with error slightly more than one ulp (but less
  66  * than 2 ulp). If one wants accurate result,  one may break up pi*t in
  67  * high (tpi_h) and low (tpi_l) parts and call __k_sin/cos(tip_h, tip_lo)
  68  * instead.
  69  */
  70 
  71 #include "libm.h"

  72 #include "longdouble.h"
  73 
  74 #include <sys/isa_defs.h>
  75 
  76 #define I(q, m) ((int *) &(q))[m]
  77 #define U(q, m) ((unsigned *) &(q))[m]
  78 #if defined(__i386) || defined(__amd64)
  79 #define LDBL_MOST_SIGNIF_I(ld)  ((I(ld, 2) << 16) | (0xffff & (I(ld, 1) >> 15)))
  80 #define LDBL_LEAST_SIGNIF_U(ld) U(ld, 0)
  81 #define PREC    64
  82 #define PRECM1  63
  83 #define PRECM2  62
  84 static const long double twoPRECM2 = 9.223372036854775808000000000000000e+18L;
  85 #else
  86 #define LDBL_MOST_SIGNIF_I(ld)  I(ld, 0)
  87 #define LDBL_LEAST_SIGNIF_U(ld) U(ld, sizeof(long double) / sizeof(int) - 1)
  88 #define PREC    113
  89 #define PRECM1  112
  90 #define PRECM2  111
  91 static const long double twoPRECM2 = 5.192296858534827628530496329220096e+33L;