github.com/afumu/libc@v0.0.6/musl/src/math/__invtrigl.c (about)

     1  #include <float.h>
     2  #include "__invtrigl.h"
     3  
     4  #if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
     5  static const long double
     6  pS0 =  1.66666666666666666631e-01L,
     7  pS1 = -4.16313987993683104320e-01L,
     8  pS2 =  3.69068046323246813704e-01L,
     9  pS3 = -1.36213932016738603108e-01L,
    10  pS4 =  1.78324189708471965733e-02L,
    11  pS5 = -2.19216428382605211588e-04L,
    12  pS6 = -7.10526623669075243183e-06L,
    13  qS1 = -2.94788392796209867269e+00L,
    14  qS2 =  3.27309890266528636716e+00L,
    15  qS3 = -1.68285799854822427013e+00L,
    16  qS4 =  3.90699412641738801874e-01L,
    17  qS5 = -3.14365703596053263322e-02L;
    18  
    19  const long double pio2_hi = 1.57079632679489661926L;
    20  const long double pio2_lo = -2.50827880633416601173e-20L;
    21  
    22  /* used in asinl() and acosl() */
    23  /* R(x^2) is a rational approximation of (asin(x)-x)/x^3 with Remez algorithm */
    24  long double __invtrigl_R(long double z)
    25  {
    26  	long double p, q;
    27  	p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*(pS5+z*pS6))))));
    28  	q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*(qS4+z*qS5))));
    29  	return p/q;
    30  }
    31  #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
    32  static const long double
    33  pS0 =  1.66666666666666666666666666666700314e-01L,
    34  pS1 = -7.32816946414566252574527475428622708e-01L,
    35  pS2 =  1.34215708714992334609030036562143589e+00L,
    36  pS3 = -1.32483151677116409805070261790752040e+00L,
    37  pS4 =  7.61206183613632558824485341162121989e-01L,
    38  pS5 = -2.56165783329023486777386833928147375e-01L,
    39  pS6 =  4.80718586374448793411019434585413855e-02L,
    40  pS7 = -4.42523267167024279410230886239774718e-03L,
    41  pS8 =  1.44551535183911458253205638280410064e-04L,
    42  pS9 = -2.10558957916600254061591040482706179e-07L,
    43  qS1 = -4.84690167848739751544716485245697428e+00L,
    44  qS2 =  9.96619113536172610135016921140206980e+00L,
    45  qS3 = -1.13177895428973036660836798461641458e+01L,
    46  qS4 =  7.74004374389488266169304117714658761e+00L,
    47  qS5 = -3.25871986053534084709023539900339905e+00L,
    48  qS6 =  8.27830318881232209752469022352928864e-01L,
    49  qS7 = -1.18768052702942805423330715206348004e-01L,
    50  qS8 =  8.32600764660522313269101537926539470e-03L,
    51  qS9 = -1.99407384882605586705979504567947007e-04L;
    52  
    53  const long double pio2_hi = 1.57079632679489661923132169163975140L;
    54  const long double pio2_lo = 4.33590506506189051239852201302167613e-35L;
    55  
    56  long double __invtrigl_R(long double z)
    57  {
    58  	long double p, q;
    59  	p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*(pS5+z*(pS6+z*(pS7+z*(pS8+z*pS9)))))))));
    60  	q = 1.0+z*(qS1+z*(qS2+z*(qS3+z*(qS4+z*(qS5+z*(qS6+z*(qS7+z*(qS8+z*qS9))))))));
    61  	return p/q;
    62  }
    63  #endif