// and include err.Num = s.
//
// If s is not syntactically well-formed, ParseComplex returns err.Err = ErrSyntax.
//
// If s is syntactically well-formed but either component is more than 1/2 ULP
// away from the largest floating point number of the given component's size,
// ParseComplex returns err.Err = ErrRange and c = ±Inf for the respective component.
func ParseComplex(s string, bitSize int) (complex128, error) {

   * </ul>
   *
   * <p>The computed result is within 1 ulp of the exact result.
   *
   * <p>If the result of this method will be immediately rounded to an {@code int}, {@link
   * #log2(double, RoundingMode)} is faster.
   */
  public static double log2(double x) {
    return log(x) / LN_2; // surprisingly within 1 ulp according to tests
  }

  /**

   * </ul>
   *
   * <p>The computed result is within 1 ulp of the exact result.
   *
   * <p>If the result of this method will be immediately rounded to an {@code int}, {@link
   * #log2(double, RoundingMode)} is faster.
   */
  public static double log2(double x) {
    return log(x) / LN_2; // surprisingly within 1 ulp according to tests
  }

  /**

//      exp(INF) is INF, exp(NaN) is NaN;
//      exp(-INF) is 0, and
//      for finite argument, only exp(0)=1 is exact.
//
// Accuracy:
//      according to an error analysis, the error is always less than
//      1 ulp (unit in the last place).
//
// Misc. info.
//      For IEEE double
//          if x >  7.09782712893383973096e+02 then exp(x) overflow
//          if x < -7.45133219101941108420e+02 then exp(x) underflow
//

//      expm1(-INF) is -1, and
//      for finite argument, only expm1(0)=0 is exact.
//
// Accuracy:
//      according to an error analysis, the error is always less than
//      1 ulp (unit in the last place).
//
// Misc. info.
//      For IEEE double
//          if x >  7.09782712893383973096e+02 then expm1(x) overflow
//
// Constants:

		{uint32(42), " 42 ", false},
		{int16(-42), " -42 ", false},
		{uint16(42), " 42 ", false},
		{int64(-42), " -42 ", false},
		{uint64(42), " 42 ", false},
		{uint64(1) << 53, " 9007199254740992 ", false},
		// ulp(1 << 53) > 1 so this loses precision in JS
		// but it is still a representable integer literal.
		{uint64(1)<<53 + 1, " 9007199254740993 ", false},
		{float32(1.0), " 1 ", false},
		{float32(-1.0), " -1 ", false},

//         point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is
//         near 0.6174), and by some experiment, 0.84375 is chosen to
//         guarantee the error is less than one ulp for erf.
//
//      2. For |x| in [0.84375,1.25], let s = |x| - 1, and
//         c = 0.84506291151 rounded to single (24 bits)
//              erf(x)  = sign(x) * (c  + P1(s)/Q1(s))

// and include err.Num = s.
//
// If s is not syntactically well-formed, ParseFloat returns err.Err = ErrSyntax.
//
// If s is syntactically well-formed but is more than 1/2 ULP
// away from the largest floating point number of the given size,
// ParseFloat returns f = ±Inf, err.Err = ErrRange.
//
// ParseFloat recognizes the string "NaN", and the (possibly signed) strings "Inf" and "Infinity"

	if isExact(real(b)) {
		realAlike = alike(real(a), real(b))
	} else {
		// Allow non-exact special cases to have errors in ULP.
		realAlike = veryclose(real(a), real(b))
	}
	if isExact(imag(b)) {
		imagAlike = alike(imag(a), imag(b))
	} else {
		// Allow non-exact special cases to have errors in ULP.
		imagAlike = veryclose(imag(a), imag(b))
	}
	return realAlike && imagAlike
}
func isExact(x float64) bool {

  // calculations are done with 80-bit precision, while double has 64
  // bits.  Therefore, 4 should be enough for ordinary use.
  //
  // See the following article for more details on ULP:
  // http://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/
  static const size_t kMaxUlps = 4;

  // Constructs a FloatingPoint from a raw floating-point number.
  //