CocoRoboDesktop/pdf1.js/node_modules/cephes/cephes/sindg.c

/*							sindg.c
 *
 *	Circular sine of angle in degrees
 *
 *
 *
 * SYNOPSIS:
 *
 * double x, y, sindg();
 *
 * y = sindg( x );
 *
 *
 *
 * DESCRIPTION:
 *
 * Range reduction is into intervals of 45 degrees.
 *
 * Two polynomial approximating functions are employed.
 * Between 0 and pi/4 the sine is approximated by
 *      x  +  x**3 P(x**2).
 * Between pi/4 and pi/2 the cosine is represented as
 *      1  -  x**2 P(x**2).
 *
 *
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain      # trials      peak         rms
 *    DEC       +-1000        3100      3.3e-17      9.0e-18
 *    IEEE      +-1000       30000      2.3e-16      5.6e-17
 *
 * ERROR MESSAGES:
 *
 *   message           condition        value returned
 * sindg total loss   x > 8.0e14 (DEC)      0.0
 *                    x > 1.0e14 (IEEE)
 *
 */
/*							cosdg.c
 *
 *	Circular cosine of angle in degrees
 *
 *
 *
 * SYNOPSIS:
 *
 * double x, y, cosdg();
 *
 * y = cosdg( x );
 *
 *
 *
 * DESCRIPTION:
 *
 * Range reduction is into intervals of 45 degrees.
 *
 * Two polynomial approximating functions are employed.
 * Between 0 and pi/4 the cosine is approximated by
 *      1  -  x**2 P(x**2).
 * Between pi/4 and pi/2 the sine is represented as
 *      x  +  x**3 P(x**2).
 *
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain      # trials      peak         rms
 *    DEC      +-1000         3400       3.5e-17     9.1e-18
 *    IEEE     +-1000        30000       2.1e-16     5.7e-17
 *  See also sin().
 *
 */

/* Cephes Math Library Release 2.0:  April, 1987
 * Copyright 1985, 1987 by Stephen L. Moshier
 * Direct inquiries to 30 Frost Street, Cambridge, MA 02140 */

#include "mconf.h"

#ifdef UNK
static double sincof[] = {
    1.58962301572218447952E-10, -2.50507477628503540135E-8,
    2.75573136213856773549E-6,  -1.98412698295895384658E-4,
    8.33333333332211858862E-3,  -1.66666666666666307295E-1};
static double coscof[] = {
    1.13678171382044553091E-11, -2.08758833757683644217E-9,
    2.75573155429816611547E-7,  -2.48015872936186303776E-5,
    1.38888888888806666760E-3,  -4.16666666666666348141E-2,
    4.99999999999999999798E-1};
static double PI180 = 1.74532925199432957692E-2; /* pi/180 */
static double lossth = 1.0e14;
#endif

#ifdef DEC
static unsigned short sincof[] = {
    0030056, 0143750, 0177170, 0073013, 0131727, 0027455, 0044510, 0132205,
    0033470, 0167432, 0131752, 0042263, 0135120, 0006400, 0146776, 0174027,
    0036410, 0104210, 0104207, 0137202, 0137452, 0125252, 0125252, 0125103};
static unsigned short coscof[] = {
    0027107, 0176030, 0153315, 0110312, 0131017, 0072476, 0007450,
    0123243, 0032623, 0171174, 0070066, 0146445, 0134320, 0006400,
    0147355, 0163313, 0035666, 0005540, 0133012, 0165067, 0137052,
    0125252, 0125252, 0125206, 0040000, 0000000, 0000000, 0000000};
static unsigned short P1[] = {0036616, 0175065, 0011224, 0164711};
#define PI180 *(double *)P1
static double lossth = 8.0e14;
#endif

#ifdef IBMPC
static unsigned short sincof[] = {
    0x0ec1, 0x1fcf, 0xd8fd, 0x3de5, 0x1691, 0xa929, 0xe5e5, 0xbe5a,
    0x4896, 0x567d, 0x1de3, 0x3ec7, 0xdf03, 0x19bf, 0x01a0, 0xbf2a,
    0xf7d0, 0x1110, 0x1111, 0x3f81, 0x5548, 0x5555, 0x5555, 0xbfc5};
static unsigned short coscof[] = {
    0xb219, 0x1ad9, 0xff83, 0x3da8, 0x14d4, 0xc1e5, 0xeea7,
    0xbe21, 0xd9a5, 0x8e06, 0x7e4f, 0x3e92, 0xbcd9, 0x19dd,
    0x01a0, 0xbefa, 0x5d47, 0x16c1, 0xc16c, 0x3f56, 0x5551,
    0x5555, 0x5555, 0xbfa5, 0x0000, 0x0000, 0x0000, 0x3fe0};

static unsigned short P1[] = {0x9d39, 0xa252, 0xdf46, 0x3f91};
#define PI180 *(double *)P1
static double lossth = 1.0e14;
#endif

#ifdef MIEEE
static unsigned short sincof[] = {
    0x3de5, 0xd8fd, 0x1fcf, 0x0ec1, 0xbe5a, 0xe5e5, 0xa929, 0x1691,
    0x3ec7, 0x1de3, 0x567d, 0x4896, 0xbf2a, 0x01a0, 0x19bf, 0xdf03,
    0x3f81, 0x1111, 0x1110, 0xf7d0, 0xbfc5, 0x5555, 0x5555, 0x5548};
static unsigned short coscof[] = {
    0x3da8, 0xff83, 0x1ad9, 0xb219, 0xbe21, 0xeea7, 0xc1e5,
    0x14d4, 0x3e92, 0x7e4f, 0x8e06, 0xd9a5, 0xbefa, 0x01a0,
    0x19dd, 0xbcd9, 0x3f56, 0xc16c, 0x16c1, 0x5d47, 0xbfa5,
    0x5555, 0x5555, 0x5551, 0x3fe0, 0x0000, 0x0000, 0x0000};

static unsigned short P1[] = {0x3f91, 0xdf46, 0xa252, 0x9d39};
#define PI180 *(double *)P1
static double lossth = 1.0e14;
#endif

#ifdef ANSIPROT
extern double polevl(double, void *, int);
extern double floor(double);
extern double ldexp(double, int);
#else
double polevl(), floor(), ldexp();
#endif
extern double PIO4;

double sindg(x) double x;
{
  double y, z, zz;
  int j, sign;

  /* make argument positive but save the sign */
  sign = 1;
  if (x < 0) {
    x = -x;
    sign = -1;
  }

  if (x > lossth) {
    mtherr("sindg", TLOSS);
    return (0.0);
  }

  y = floor(x / 45.0); /* integer part of x/PIO4 */

  /* strip high bits of integer part to prevent integer overflow */
  z = ldexp(y, -4);
  z = floor(z);        /* integer part of y/8 */
  z = y - ldexp(z, 4); /* y - 16 * (y/16) */

  j = z; /* convert to integer for tests on the phase angle */
  /* map zeros to origin */
  if (j & 1) {
    j += 1;
    y += 1.0;
  }
  j = j & 07; /* octant modulo 360 degrees */
  /* reflect in x axis */
  if (j > 3) {
    sign = -sign;
    j -= 4;
  }

  z = x - y * 45.0; /* x mod 45 degrees */
  z *= PI180;       /* multiply by pi/180 to convert to radians */
  zz = z * z;

  if ((j == 1) || (j == 2)) {
    y = 1.0 - zz * polevl(zz, coscof, 6);
  } else {
    y = z + z * (zz * polevl(zz, sincof, 5));
  }

  if (sign < 0)
    y = -y;

  return (y);
}

double cosdg(x) double x;
{
  double y, z, zz;
  int j, sign;

  /* make argument positive */
  sign = 1;
  if (x < 0)
    x = -x;

  if (x > lossth) {
    mtherr("cosdg", TLOSS);
    return (0.0);
  }

  y = floor(x / 45.0);
  z = ldexp(y, -4);
  z = floor(z);        /* integer part of y/8 */
  z = y - ldexp(z, 4); /* y - 16 * (y/16) */

  /* integer and fractional part modulo one octant */
  j = z;
  if (j & 1) /* map zeros to origin */
  {
    j += 1;
    y += 1.0;
  }
  j = j & 07;
  if (j > 3) {
    j -= 4;
    sign = -sign;
  }

  if (j > 1)
    sign = -sign;

  z = x - y * 45.0; /* x mod 45 degrees */
  z *= PI180;       /* multiply by pi/180 to convert to radians */

  zz = z * z;

  if ((j == 1) || (j == 2)) {
    y = z + z * (zz * polevl(zz, sincof, 5));
  } else {
    y = 1.0 - zz * polevl(zz, coscof, 6);
  }

  if (sign < 0)
    y = -y;

  return (y);
}