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glibc  2.9
Functions | Variables
e_asinl.c File Reference
#include "math.h"
#include "math_private.h"

Go to the source code of this file.

Functions

long double sqrtl (long double)
double __ieee754_asinl (long double x)

Variables

static long double one = 1.0L
static long double huge = 1.0e+300L
static long double pio2_hi = 1.5707963267948966192313216916397514420986L
static long double pio2_lo = 4.3359050650618905123985220130216759843812E-35L
static long double pio4_hi = 7.8539816339744830961566084581987569936977E-1L
static long double pS0 = -8.358099012470680544198472400254596543711E2L
static long double pS1 = 3.674973957689619490312782828051860366493E3L
static long double pS2 = -6.730729094812979665807581609853656623219E3L
static long double pS3 = 6.643843795209060298375552684423454077633E3L
static long double pS4 = -3.817341990928606692235481812252049415993E3L
static long double pS5 = 1.284635388402653715636722822195716476156E3L
static long double pS6 = -2.410736125231549204856567737329112037867E2L
static long double pS7 = 2.219191969382402856557594215833622156220E1L
static long double pS8 = -7.249056260830627156600112195061001036533E-1L
static long double pS9 = 1.055923570937755300061509030361395604448E-3L
static long double qS0 = -5.014859407482408326519083440151745519205E3L
static long double qS1 = 2.430653047950480068881028451580393430537E4L
static long double qS2 = -4.997904737193653607449250593976069726962E4L
static long double qS3 = 5.675712336110456923807959930107347511086E4L
static long double qS4 = -3.881523118339661268482937768522572588022E4L
static long double qS5 = 1.634202194895541569749717032234510811216E4L
static long double qS6 = -4.151452662440709301601820849901296953752E3L
static long double qS7 = 5.956050864057192019085175976175695342168E2L
static long double qS8 = -4.175375777334867025769346564600396877176E1L
static long double rS0 = -5.619049346208901520945464704848780243887E0L
static long double rS1 = 4.460504162777731472539175700169871920352E1L
static long double rS2 = -1.317669505315409261479577040530751477488E2L
static long double rS3 = 1.626532582423661989632442410808596009227E2L
static long double rS4 = -3.144806644195158614904369445440583873264E1L
static long double rS5 = -9.806674443470740708765165604769099559553E1L
static long double rS6 = 5.708468492052010816555762842394927806920E1L
static long double rS7 = 1.396540499232262112248553357962639431922E1L
static long double rS8 = -1.126243289311910363001762058295832610344E1L
static long double rS9 = -4.956179821329901954211277873774472383512E-1L
static long double rS10 = 3.313227657082367169241333738391762525780E-1L
static long double sS0 = -4.645814742084009935700221277307007679325E0L
static long double sS1 = 3.879074822457694323970438316317961918430E1L
static long double sS2 = -1.221986588013474694623973554726201001066E2L
static long double sS3 = 1.658821150347718105012079876756201905822E2L
static long double sS4 = -4.804379630977558197953176474426239748977E1L
static long double sS5 = -1.004296417397316948114344573811562952793E2L
static long double sS6 = 7.530281592861320234941101403870010111138E1L
static long double sS7 = 1.270735595411673647119592092304357226607E1L
static long double sS8 = -1.815144839646376500705105967064792930282E1L
static long double sS9 = -7.821597334910963922204235247786840828217E-2L
static long double asinr5625 = 5.9740641664535021430381036628424864397707E-1L

Function Documentation

double __ieee754_asinl ( long double  x)

Definition at line 140 of file e_asinl.c.

{
  long double t, w, p, q, c, r, s;
  int32_t ix, sign, flag;
  ieee854_long_double_shape_type u;

  flag = 0;
  u.value = x;
  sign = u.parts32.w0;
  ix = sign & 0x7fffffff;
  u.parts32.w0 = ix;    /* |x| */
  if (ix >= 0x3ff00000)     /* |x|>= 1 */
    {
      if (ix == 0x3ff00000
         && (u.parts32.w1 | (u.parts32.w2 & 0x7fffffff) | u.parts32.w3) == 0)
       /* asin(1)=+-pi/2 with inexact */
       return x * pio2_hi + x * pio2_lo;
      return (x - x) / (x - x);    /* asin(|x|>1) is NaN */
    }
  else if (ix < 0x3fe00000) /* |x| < 0.5 */
    {
      if (ix < 0x3c600000) /* |x| < 2**-57 */
       {
         if (huge + x > one)
           return x;        /* return x with inexact if x!=0 */
       }
      else
       {
         t = x * x;
         /* Mark to use pS, qS later on.  */
         flag = 1;
       }
    }
  else if (ix < 0x3fe40000) /* 0.625 */
    {
      t = u.value - 0.5625;
      p = ((((((((((rS10 * t
                  + rS9) * t
                 + rS8) * t
                + rS7) * t
               + rS6) * t
              + rS5) * t
              + rS4) * t
             + rS3) * t
            + rS2) * t
           + rS1) * t
          + rS0) * t;

      q = ((((((((( t
                  + sS9) * t
                + sS8) * t
               + sS7) * t
              + sS6) * t
              + sS5) * t
             + sS4) * t
            + sS3) * t
           + sS2) * t
          + sS1) * t
       + sS0;
      t = asinr5625 + p / q;
      if ((sign & 0x80000000) == 0)
       return t;
      else
       return -t;
    }
  else
    {
      /* 1 > |x| >= 0.625 */
      w = one - u.value;
      t = w * 0.5;
    }

  p = (((((((((pS9 * t
              + pS8) * t
             + pS7) * t
            + pS6) * t
           + pS5) * t
          + pS4) * t
         + pS3) * t
        + pS2) * t
       + pS1) * t
       + pS0) * t;

  q = (((((((( t
             + qS8) * t
            + qS7) * t
           + qS6) * t
          + qS5) * t
         + qS4) * t
        + qS3) * t
       + qS2) * t
       + qS1) * t
    + qS0;

  if (flag) /* 2^-57 < |x| < 0.5 */
    {
      w = p / q;
      return x + x * w;
    }

  s = __ieee754_sqrtl (t);
  if (ix >= 0x3fef3333) /* |x| > 0.975 */
    {
      w = p / q;
      t = pio2_hi - (2.0 * (s + s * w) - pio2_lo);
    }
  else
    {
      u.value = s;
      u.parts32.w3 = 0;
      u.parts32.w2 = 0;
      w = u.value;
      c = (t - w * w) / (s + w);
      r = p / q;
      p = 2.0 * s * r - (pio2_lo - 2.0 * c);
      q = pio4_hi - 2.0 * w;
      t = pio4_hi - (p - q);
    }

  if ((sign & 0x80000000) == 0)
    return t;
  else
    return -t;
}

Here is the call graph for this function:

long double sqrtl ( long  double)

Variable Documentation

long double asinr5625 = 5.9740641664535021430381036628424864397707E-1L [static]

Definition at line 131 of file e_asinl.c.

long double huge = 1.0e+300L [static]

Definition at line 72 of file e_asinl.c.

long double one = 1.0L [static]

Definition at line 71 of file e_asinl.c.

long double pio2_hi = 1.5707963267948966192313216916397514420986L [static]

Definition at line 73 of file e_asinl.c.

long double pio2_lo = 4.3359050650618905123985220130216759843812E-35L [static]

Definition at line 74 of file e_asinl.c.

long double pio4_hi = 7.8539816339744830961566084581987569936977E-1L [static]

Definition at line 75 of file e_asinl.c.

long double pS0 = -8.358099012470680544198472400254596543711E2L [static]

Definition at line 82 of file e_asinl.c.

long double pS1 = 3.674973957689619490312782828051860366493E3L [static]

Definition at line 83 of file e_asinl.c.

long double pS2 = -6.730729094812979665807581609853656623219E3L [static]

Definition at line 84 of file e_asinl.c.

long double pS3 = 6.643843795209060298375552684423454077633E3L [static]

Definition at line 85 of file e_asinl.c.

long double pS4 = -3.817341990928606692235481812252049415993E3L [static]

Definition at line 86 of file e_asinl.c.

long double pS5 = 1.284635388402653715636722822195716476156E3L [static]

Definition at line 87 of file e_asinl.c.

long double pS6 = -2.410736125231549204856567737329112037867E2L [static]

Definition at line 88 of file e_asinl.c.

long double pS7 = 2.219191969382402856557594215833622156220E1L [static]

Definition at line 89 of file e_asinl.c.

long double pS8 = -7.249056260830627156600112195061001036533E-1L [static]

Definition at line 90 of file e_asinl.c.

long double pS9 = 1.055923570937755300061509030361395604448E-3L [static]

Definition at line 91 of file e_asinl.c.

long double qS0 = -5.014859407482408326519083440151745519205E3L [static]

Definition at line 93 of file e_asinl.c.

long double qS1 = 2.430653047950480068881028451580393430537E4L [static]

Definition at line 94 of file e_asinl.c.

long double qS2 = -4.997904737193653607449250593976069726962E4L [static]

Definition at line 95 of file e_asinl.c.

long double qS3 = 5.675712336110456923807959930107347511086E4L [static]

Definition at line 96 of file e_asinl.c.

long double qS4 = -3.881523118339661268482937768522572588022E4L [static]

Definition at line 97 of file e_asinl.c.

long double qS5 = 1.634202194895541569749717032234510811216E4L [static]

Definition at line 98 of file e_asinl.c.

long double qS6 = -4.151452662440709301601820849901296953752E3L [static]

Definition at line 99 of file e_asinl.c.

long double qS7 = 5.956050864057192019085175976175695342168E2L [static]

Definition at line 100 of file e_asinl.c.

long double qS8 = -4.175375777334867025769346564600396877176E1L [static]

Definition at line 101 of file e_asinl.c.

long double rS0 = -5.619049346208901520945464704848780243887E0L [static]

Definition at line 107 of file e_asinl.c.

long double rS1 = 4.460504162777731472539175700169871920352E1L [static]

Definition at line 108 of file e_asinl.c.

long double rS10 = 3.313227657082367169241333738391762525780E-1L [static]

Definition at line 117 of file e_asinl.c.

long double rS2 = -1.317669505315409261479577040530751477488E2L [static]

Definition at line 109 of file e_asinl.c.

long double rS3 = 1.626532582423661989632442410808596009227E2L [static]

Definition at line 110 of file e_asinl.c.

long double rS4 = -3.144806644195158614904369445440583873264E1L [static]

Definition at line 111 of file e_asinl.c.

long double rS5 = -9.806674443470740708765165604769099559553E1L [static]

Definition at line 112 of file e_asinl.c.

long double rS6 = 5.708468492052010816555762842394927806920E1L [static]

Definition at line 113 of file e_asinl.c.

long double rS7 = 1.396540499232262112248553357962639431922E1L [static]

Definition at line 114 of file e_asinl.c.

long double rS8 = -1.126243289311910363001762058295832610344E1L [static]

Definition at line 115 of file e_asinl.c.

long double rS9 = -4.956179821329901954211277873774472383512E-1L [static]

Definition at line 116 of file e_asinl.c.

long double sS0 = -4.645814742084009935700221277307007679325E0L [static]

Definition at line 119 of file e_asinl.c.

long double sS1 = 3.879074822457694323970438316317961918430E1L [static]

Definition at line 120 of file e_asinl.c.

long double sS2 = -1.221986588013474694623973554726201001066E2L [static]

Definition at line 121 of file e_asinl.c.

long double sS3 = 1.658821150347718105012079876756201905822E2L [static]

Definition at line 122 of file e_asinl.c.

long double sS4 = -4.804379630977558197953176474426239748977E1L [static]

Definition at line 123 of file e_asinl.c.

long double sS5 = -1.004296417397316948114344573811562952793E2L [static]

Definition at line 124 of file e_asinl.c.

long double sS6 = 7.530281592861320234941101403870010111138E1L [static]

Definition at line 125 of file e_asinl.c.

long double sS7 = 1.270735595411673647119592092304357226607E1L [static]

Definition at line 126 of file e_asinl.c.

long double sS8 = -1.815144839646376500705105967064792930282E1L [static]

Definition at line 127 of file e_asinl.c.

long double sS9 = -7.821597334910963922204235247786840828217E-2L [static]

Definition at line 128 of file e_asinl.c.