/* origin: FreeBSD /usr/src/lib/msun/src/e_asinf.c */
/*
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */
/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */
#include "libm.h"

static const double pio2 = 1.570796326794896558e+00;

static const float
    /* coefficients for R(x^2) */
    pS0 = 1.6666586697e-01,
    pS1 = -4.2743422091e-02, pS2 = -8.6563630030e-03, qS1 = -7.0662963390e-01;

static float R(float z) {
  float_t p, q;
  p = z * (pS0 + z * (pS1 + z * pS2));
  q = 1.0f + z * qS1;
  return p / q;
}

float asinf(float x) {
  double s;
  float z;
  uint32_t hx, ix;

  GET_FLOAT_WORD(hx, x);
  ix = hx & 0x7fffffff;
  if (ix >= 0x3f800000) {          /* |x| >= 1 */
    if (ix == 0x3f800000)          /* |x| == 1 */
      return x * pio2 + 0x1p-120f; /* asin(+-1) = +-pi/2 with inexact */
    return 0 / (x - x);            /* asin(|x|>1) is NaN */
  }
  if (ix < 0x3f000000) { /* |x| < 0.5 */
    /* if 0x1p-126 <= |x| < 0x1p-12, avoid raising underflow */
    if (ix < 0x39800000 && ix >= 0x00800000)
      return x;
    return x + x * R(x * x);
  }
  /* 1 > |x| >= 0.5 */
  z = (1 - fabsf(x)) * 0.5f;
  s = sqrt(z);
  x = pio2 - 2 * (s + s * R(z));
  if (hx >> 31)
    return -x;
  return x;
}