HaxeFoundation.haxe/std/java/lang/Math.hx

package java.lang;
/*
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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/**
* The class {@code Math} contains methods for performing basic
* numeric operations such as the elementary exponential, logarithm,
* square root, and trigonometric functions.
*
* <p>Unlike some of the numeric methods of class
* {@code StrictMath}, all implementations of the equivalent
* functions of class {@code Math} are not defined to return the
* bit-for-bit same results.  This relaxation permits
* better-performing implementations where strict reproducibility is
* not required.
*
* <p>By default many of the {@code Math} methods simply call
* the equivalent method in {@code StrictMath} for their
* implementation.  Code generators are encouraged to use
* platform-specific native libraries or microprocessor instructions,
* where available, to provide higher-performance implementations of
* {@code Math} methods.  Such higher-performance
* implementations still must conform to the specification for
* {@code Math}.
*
* <p>The quality of implementation specifications concern two
* properties, accuracy of the returned result and monotonicity of the
* method.  Accuracy of the floating-point {@code Math} methods
* is measured in terms of <i>ulps</i>, units in the last place.  For
* a given floating-point format, an ulp of a specific real number
* value is the distance between the two floating-point values
* bracketing that numerical value.  When discussing the accuracy of a
* method as a whole rather than at a specific argument, the number of
* ulps cited is for the worst-case error at any argument.  If a
* method always has an error less than 0.5 ulps, the method always
* returns the floating-point number nearest the exact result; such a
* method is <i>correctly rounded</i>.  A correctly rounded method is
* generally the best a floating-point approximation can be; however,
* it is impractical for many floating-point methods to be correctly
* rounded.  Instead, for the {@code Math} class, a larger error
* bound of 1 or 2 ulps is allowed for certain methods.  Informally,
* with a 1 ulp error bound, when the exact result is a representable
* number, the exact result should be returned as the computed result;
* otherwise, either of the two floating-point values which bracket
* the exact result may be returned.  For exact results large in
* magnitude, one of the endpoints of the bracket may be infinite.
* Besides accuracy at individual arguments, maintaining proper
* relations between the method at different arguments is also
* important.  Therefore, most methods with more than 0.5 ulp errors
* are required to be <i>semi-monotonic</i>: whenever the mathematical
* function is non-decreasing, so is the floating-point approximation,
* likewise, whenever the mathematical function is non-increasing, so
* is the floating-point approximation.  Not all approximations that
* have 1 ulp accuracy will automatically meet the monotonicity
* requirements.
*
* @author  unascribed
* @author  Joseph D. Darcy
* @since   JDK1.0
*/
@:require(java0) extern class Math
{
	/**
	* The {@code double} value that is closer than any other to
	* <i>e</i>, the base of the natural logarithms.
	*/
	public static var E(default, null) : Float;
	
	/**
	* The {@code double} value that is closer than any other to
	* <i>pi</i>, the ratio of the circumference of a circle to its
	* diameter.
	*/
	public static var PI(default, null) : Float;
	
	/**
	* Returns the trigonometric sine of an angle.  Special cases:
	* <ul><li>If the argument is NaN or an infinity, then the
	* result is NaN.
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   an angle, in radians.
	* @return  the sine of the argument.
	*/
	@:overload public static function sin(a : Float) : Float;
	
	/**
	* Returns the trigonometric cosine of an angle. Special cases:
	* <ul><li>If the argument is NaN or an infinity, then the
	* result is NaN.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   an angle, in radians.
	* @return  the cosine of the argument.
	*/
	@:overload public static function cos(a : Float) : Float;
	
	/**
	* Returns the trigonometric tangent of an angle.  Special cases:
	* <ul><li>If the argument is NaN or an infinity, then the result
	* is NaN.
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   an angle, in radians.
	* @return  the tangent of the argument.
	*/
	@:overload public static function tan(a : Float) : Float;
	
	/**
	* Returns the arc sine of a value; the returned angle is in the
	* range -<i>pi</i>/2 through <i>pi</i>/2.  Special cases:
	* <ul><li>If the argument is NaN or its absolute value is greater
	* than 1, then the result is NaN.
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   the value whose arc sine is to be returned.
	* @return  the arc sine of the argument.
	*/
	@:overload public static function asin(a : Float) : Float;
	
	/**
	* Returns the arc cosine of a value; the returned angle is in the
	* range 0.0 through <i>pi</i>.  Special case:
	* <ul><li>If the argument is NaN or its absolute value is greater
	* than 1, then the result is NaN.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   the value whose arc cosine is to be returned.
	* @return  the arc cosine of the argument.
	*/
	@:overload public static function acos(a : Float) : Float;
	
	/**
	* Returns the arc tangent of a value; the returned angle is in the
	* range -<i>pi</i>/2 through <i>pi</i>/2.  Special cases:
	* <ul><li>If the argument is NaN, then the result is NaN.
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   the value whose arc tangent is to be returned.
	* @return  the arc tangent of the argument.
	*/
	@:overload public static function atan(a : Float) : Float;
	
	/**
	* Converts an angle measured in degrees to an approximately
	* equivalent angle measured in radians.  The conversion from
	* degrees to radians is generally inexact.
	*
	* @param   angdeg   an angle, in degrees
	* @return  the measurement of the angle {@code angdeg}
	*          in radians.
	* @since   1.2
	*/
	@:require(java2) @:overload public static function toRadians(angdeg : Float) : Float;
	
	/**
	* Converts an angle measured in radians to an approximately
	* equivalent angle measured in degrees.  The conversion from
	* radians to degrees is generally inexact; users should
	* <i>not</i> expect {@code cos(toRadians(90.0))} to exactly
	* equal {@code 0.0}.
	*
	* @param   angrad   an angle, in radians
	* @return  the measurement of the angle {@code angrad}
	*          in degrees.
	* @since   1.2
	*/
	@:require(java2) @:overload public static function toDegrees(angrad : Float) : Float;
	
	/**
	* Returns Euler's number <i>e</i> raised to the power of a
	* {@code double} value.  Special cases:
	* <ul><li>If the argument is NaN, the result is NaN.
	* <li>If the argument is positive infinity, then the result is
	* positive infinity.
	* <li>If the argument is negative infinity, then the result is
	* positive zero.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   the exponent to raise <i>e</i> to.
	* @return  the value <i>e</i><sup>{@code a}</sup>,
	*          where <i>e</i> is the base of the natural logarithms.
	*/
	@:overload public static function exp(a : Float) : Float;
	
	/**
	* Returns the natural logarithm (base <i>e</i>) of a {@code double}
	* value.  Special cases:
	* <ul><li>If the argument is NaN or less than zero, then the result
	* is NaN.
	* <li>If the argument is positive infinity, then the result is
	* positive infinity.
	* <li>If the argument is positive zero or negative zero, then the
	* result is negative infinity.</ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   a value
	* @return  the value ln&nbsp;{@code a}, the natural logarithm of
	*          {@code a}.
	*/
	@:overload public static function log(a : Float) : Float;
	
	/**
	* Returns the base 10 logarithm of a {@code double} value.
	* Special cases:
	*
	* <ul><li>If the argument is NaN or less than zero, then the result
	* is NaN.
	* <li>If the argument is positive infinity, then the result is
	* positive infinity.
	* <li>If the argument is positive zero or negative zero, then the
	* result is negative infinity.
	* <li> If the argument is equal to 10<sup><i>n</i></sup> for
	* integer <i>n</i>, then the result is <i>n</i>.
	* </ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   a value
	* @return  the base 10 logarithm of  {@code a}.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function log10(a : Float) : Float;
	
	/**
	* Returns the correctly rounded positive square root of a
	* {@code double} value.
	* Special cases:
	* <ul><li>If the argument is NaN or less than zero, then the result
	* is NaN.
	* <li>If the argument is positive infinity, then the result is positive
	* infinity.
	* <li>If the argument is positive zero or negative zero, then the
	* result is the same as the argument.</ul>
	* Otherwise, the result is the {@code double} value closest to
	* the true mathematical square root of the argument value.
	*
	* @param   a   a value.
	* @return  the positive square root of {@code a}.
	*          If the argument is NaN or less than zero, the result is NaN.
	*/
	@:overload public static function sqrt(a : Float) : Float;
	
	/**
	* Returns the cube root of a {@code double} value.  For
	* positive finite {@code x}, {@code cbrt(-x) ==
	* -cbrt(x)}; that is, the cube root of a negative value is
	* the negative of the cube root of that value's magnitude.
	*
	* Special cases:
	*
	* <ul>
	*
	* <li>If the argument is NaN, then the result is NaN.
	*
	* <li>If the argument is infinite, then the result is an infinity
	* with the same sign as the argument.
	*
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.
	*
	* </ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	*
	* @param   a   a value.
	* @return  the cube root of {@code a}.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function cbrt(a : Float) : Float;
	
	/**
	* Computes the remainder operation on two arguments as prescribed
	* by the IEEE 754 standard.
	* The remainder value is mathematically equal to
	* <code>f1&nbsp;-&nbsp;f2</code>&nbsp;&times;&nbsp;<i>n</i>,
	* where <i>n</i> is the mathematical integer closest to the exact
	* mathematical value of the quotient {@code f1/f2}, and if two
	* mathematical integers are equally close to {@code f1/f2},
	* then <i>n</i> is the integer that is even. If the remainder is
	* zero, its sign is the same as the sign of the first argument.
	* Special cases:
	* <ul><li>If either argument is NaN, or the first argument is infinite,
	* or the second argument is positive zero or negative zero, then the
	* result is NaN.
	* <li>If the first argument is finite and the second argument is
	* infinite, then the result is the same as the first argument.</ul>
	*
	* @param   f1   the dividend.
	* @param   f2   the divisor.
	* @return  the remainder when {@code f1} is divided by
	*          {@code f2}.
	*/
	@:overload public static function IEEEremainder(f1 : Float, f2 : Float) : Float;
	
	/**
	* Returns the smallest (closest to negative infinity)
	* {@code double} value that is greater than or equal to the
	* argument and is equal to a mathematical integer. Special cases:
	* <ul><li>If the argument value is already equal to a
	* mathematical integer, then the result is the same as the
	* argument.  <li>If the argument is NaN or an infinity or
	* positive zero or negative zero, then the result is the same as
	* the argument.  <li>If the argument value is less than zero but
	* greater than -1.0, then the result is negative zero.</ul> Note
	* that the value of {@code Math.ceil(x)} is exactly the
	* value of {@code -Math.floor(-x)}.
	*
	*
	* @param   a   a value.
	* @return  the smallest (closest to negative infinity)
	*          floating-point value that is greater than or equal to
	*          the argument and is equal to a mathematical integer.
	*/
	@:overload public static function ceil(a : Float) : Float;
	
	/**
	* Returns the largest (closest to positive infinity)
	* {@code double} value that is less than or equal to the
	* argument and is equal to a mathematical integer. Special cases:
	* <ul><li>If the argument value is already equal to a
	* mathematical integer, then the result is the same as the
	* argument.  <li>If the argument is NaN or an infinity or
	* positive zero or negative zero, then the result is the same as
	* the argument.</ul>
	*
	* @param   a   a value.
	* @return  the largest (closest to positive infinity)
	*          floating-point value that less than or equal to the argument
	*          and is equal to a mathematical integer.
	*/
	@:overload public static function floor(a : Float) : Float;
	
	/**
	* Returns the {@code double} value that is closest in value
	* to the argument and is equal to a mathematical integer. If two
	* {@code double} values that are mathematical integers are
	* equally close, the result is the integer value that is
	* even. Special cases:
	* <ul><li>If the argument value is already equal to a mathematical
	* integer, then the result is the same as the argument.
	* <li>If the argument is NaN or an infinity or positive zero or negative
	* zero, then the result is the same as the argument.</ul>
	*
	* @param   a   a {@code double} value.
	* @return  the closest floating-point value to {@code a} that is
	*          equal to a mathematical integer.
	*/
	@:overload public static function rint(a : Float) : Float;
	
	/**
	* Returns the angle <i>theta</i> from the conversion of rectangular
	* coordinates ({@code x},&nbsp;{@code y}) to polar
	* coordinates (r,&nbsp;<i>theta</i>).
	* This method computes the phase <i>theta</i> by computing an arc tangent
	* of {@code y/x} in the range of -<i>pi</i> to <i>pi</i>. Special
	* cases:
	* <ul><li>If either argument is NaN, then the result is NaN.
	* <li>If the first argument is positive zero and the second argument
	* is positive, or the first argument is positive and finite and the
	* second argument is positive infinity, then the result is positive
	* zero.
	* <li>If the first argument is negative zero and the second argument
	* is positive, or the first argument is negative and finite and the
	* second argument is positive infinity, then the result is negative zero.
	* <li>If the first argument is positive zero and the second argument
	* is negative, or the first argument is positive and finite and the
	* second argument is negative infinity, then the result is the
	* {@code double} value closest to <i>pi</i>.
	* <li>If the first argument is negative zero and the second argument
	* is negative, or the first argument is negative and finite and the
	* second argument is negative infinity, then the result is the
	* {@code double} value closest to -<i>pi</i>.
	* <li>If the first argument is positive and the second argument is
	* positive zero or negative zero, or the first argument is positive
	* infinity and the second argument is finite, then the result is the
	* {@code double} value closest to <i>pi</i>/2.
	* <li>If the first argument is negative and the second argument is
	* positive zero or negative zero, or the first argument is negative
	* infinity and the second argument is finite, then the result is the
	* {@code double} value closest to -<i>pi</i>/2.
	* <li>If both arguments are positive infinity, then the result is the
	* {@code double} value closest to <i>pi</i>/4.
	* <li>If the first argument is positive infinity and the second argument
	* is negative infinity, then the result is the {@code double}
	* value closest to 3*<i>pi</i>/4.
	* <li>If the first argument is negative infinity and the second argument
	* is positive infinity, then the result is the {@code double} value
	* closest to -<i>pi</i>/4.
	* <li>If both arguments are negative infinity, then the result is the
	* {@code double} value closest to -3*<i>pi</i>/4.</ul>
	*
	* <p>The computed result must be within 2 ulps of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   y   the ordinate coordinate
	* @param   x   the abscissa coordinate
	* @return  the <i>theta</i> component of the point
	*          (<i>r</i>,&nbsp;<i>theta</i>)
	*          in polar coordinates that corresponds to the point
	*          (<i>x</i>,&nbsp;<i>y</i>) in Cartesian coordinates.
	*/
	@:overload public static function atan2(y : Float, x : Float) : Float;
	
	/**
	* Returns the value of the first argument raised to the power of the
	* second argument. Special cases:
	*
	* <ul><li>If the second argument is positive or negative zero, then the
	* result is 1.0.
	* <li>If the second argument is 1.0, then the result is the same as the
	* first argument.
	* <li>If the second argument is NaN, then the result is NaN.
	* <li>If the first argument is NaN and the second argument is nonzero,
	* then the result is NaN.
	*
	* <li>If
	* <ul>
	* <li>the absolute value of the first argument is greater than 1
	* and the second argument is positive infinity, or
	* <li>the absolute value of the first argument is less than 1 and
	* the second argument is negative infinity,
	* </ul>
	* then the result is positive infinity.
	*
	* <li>If
	* <ul>
	* <li>the absolute value of the first argument is greater than 1 and
	* the second argument is negative infinity, or
	* <li>the absolute value of the
	* first argument is less than 1 and the second argument is positive
	* infinity,
	* </ul>
	* then the result is positive zero.
	*
	* <li>If the absolute value of the first argument equals 1 and the
	* second argument is infinite, then the result is NaN.
	*
	* <li>If
	* <ul>
	* <li>the first argument is positive zero and the second argument
	* is greater than zero, or
	* <li>the first argument is positive infinity and the second
	* argument is less than zero,
	* </ul>
	* then the result is positive zero.
	*
	* <li>If
	* <ul>
	* <li>the first argument is positive zero and the second argument
	* is less than zero, or
	* <li>the first argument is positive infinity and the second
	* argument is greater than zero,
	* </ul>
	* then the result is positive infinity.
	*
	* <li>If
	* <ul>
	* <li>the first argument is negative zero and the second argument
	* is greater than zero but not a finite odd integer, or
	* <li>the first argument is negative infinity and the second
	* argument is less than zero but not a finite odd integer,
	* </ul>
	* then the result is positive zero.
	*
	* <li>If
	* <ul>
	* <li>the first argument is negative zero and the second argument
	* is a positive finite odd integer, or
	* <li>the first argument is negative infinity and the second
	* argument is a negative finite odd integer,
	* </ul>
	* then the result is negative zero.
	*
	* <li>If
	* <ul>
	* <li>the first argument is negative zero and the second argument
	* is less than zero but not a finite odd integer, or
	* <li>the first argument is negative infinity and the second
	* argument is greater than zero but not a finite odd integer,
	* </ul>
	* then the result is positive infinity.
	*
	* <li>If
	* <ul>
	* <li>the first argument is negative zero and the second argument
	* is a negative finite odd integer, or
	* <li>the first argument is negative infinity and the second
	* argument is a positive finite odd integer,
	* </ul>
	* then the result is negative infinity.
	*
	* <li>If the first argument is finite and less than zero
	* <ul>
	* <li> if the second argument is a finite even integer, the
	* result is equal to the result of raising the absolute value of
	* the first argument to the power of the second argument
	*
	* <li>if the second argument is a finite odd integer, the result
	* is equal to the negative of the result of raising the absolute
	* value of the first argument to the power of the second
	* argument
	*
	* <li>if the second argument is finite and not an integer, then
	* the result is NaN.
	* </ul>
	*
	* <li>If both arguments are integers, then the result is exactly equal
	* to the mathematical result of raising the first argument to the power
	* of the second argument if that result can in fact be represented
	* exactly as a {@code double} value.</ul>
	*
	* <p>(In the foregoing descriptions, a floating-point value is
	* considered to be an integer if and only if it is finite and a
	* fixed point of the method {@link #ceil ceil} or,
	* equivalently, a fixed point of the method {@link #floor
	* floor}. A value is a fixed point of a one-argument
	* method if and only if the result of applying the method to the
	* value is equal to the value.)
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   a   the base.
	* @param   b   the exponent.
	* @return  the value {@code a}<sup>{@code b}</sup>.
	*/
	@:overload public static function pow(a : Float, b : Float) : Float;
	
	/**
	* Returns the closest {@code int} to the argument, with ties
	* rounding up.
	*
	* <p>
	* Special cases:
	* <ul><li>If the argument is NaN, the result is 0.
	* <li>If the argument is negative infinity or any value less than or
	* equal to the value of {@code Integer.MIN_VALUE}, the result is
	* equal to the value of {@code Integer.MIN_VALUE}.
	* <li>If the argument is positive infinity or any value greater than or
	* equal to the value of {@code Integer.MAX_VALUE}, the result is
	* equal to the value of {@code Integer.MAX_VALUE}.</ul>
	*
	* @param   a   a floating-point value to be rounded to an integer.
	* @return  the value of the argument rounded to the nearest
	*          {@code int} value.
	* @see     java.lang.Integer#MAX_VALUE
	* @see     java.lang.Integer#MIN_VALUE
	*/
	@:overload public static function round(a : Single) : Int;
	
	/**
	* Returns the closest {@code long} to the argument, with ties
	* rounding up.
	*
	* <p>Special cases:
	* <ul><li>If the argument is NaN, the result is 0.
	* <li>If the argument is negative infinity or any value less than or
	* equal to the value of {@code Long.MIN_VALUE}, the result is
	* equal to the value of {@code Long.MIN_VALUE}.
	* <li>If the argument is positive infinity or any value greater than or
	* equal to the value of {@code Long.MAX_VALUE}, the result is
	* equal to the value of {@code Long.MAX_VALUE}.</ul>
	*
	* @param   a   a floating-point value to be rounded to a
	*          {@code long}.
	* @return  the value of the argument rounded to the nearest
	*          {@code long} value.
	* @see     java.lang.Long#MAX_VALUE
	* @see     java.lang.Long#MIN_VALUE
	*/
	@:overload public static function round(a : Float) : haxe.Int64;
	
	/**
	* Returns a {@code double} value with a positive sign, greater
	* than or equal to {@code 0.0} and less than {@code 1.0}.
	* Returned values are chosen pseudorandomly with (approximately)
	* uniform distribution from that range.
	*
	* <p>When this method is first called, it creates a single new
	* pseudorandom-number generator, exactly as if by the expression
	*
	* <blockquote>{@code new java.util.Random()}</blockquote>
	*
	* This new pseudorandom-number generator is used thereafter for
	* all calls to this method and is used nowhere else.
	*
	* <p>This method is properly synchronized to allow correct use by
	* more than one thread. However, if many threads need to generate
	* pseudorandom numbers at a great rate, it may reduce contention
	* for each thread to have its own pseudorandom-number generator.
	*
	* @return  a pseudorandom {@code double} greater than or equal
	* to {@code 0.0} and less than {@code 1.0}.
	* @see Random#nextDouble()
	*/
	@:overload public static function random() : Float;
	
	/**
	* Returns the absolute value of an {@code int} value.
	* If the argument is not negative, the argument is returned.
	* If the argument is negative, the negation of the argument is returned.
	*
	* <p>Note that if the argument is equal to the value of
	* {@link Integer#MIN_VALUE}, the most negative representable
	* {@code int} value, the result is that same value, which is
	* negative.
	*
	* @param   a   the argument whose absolute value is to be determined
	* @return  the absolute value of the argument.
	*/
	@:overload public static function abs(a : Int) : Int;
	
	/**
	* Returns the absolute value of a {@code long} value.
	* If the argument is not negative, the argument is returned.
	* If the argument is negative, the negation of the argument is returned.
	*
	* <p>Note that if the argument is equal to the value of
	* {@link Long#MIN_VALUE}, the most negative representable
	* {@code long} value, the result is that same value, which
	* is negative.
	*
	* @param   a   the argument whose absolute value is to be determined
	* @return  the absolute value of the argument.
	*/
	@:overload public static function abs(a : haxe.Int64) : haxe.Int64;
	
	/**
	* Returns the absolute value of a {@code float} value.
	* If the argument is not negative, the argument is returned.
	* If the argument is negative, the negation of the argument is returned.
	* Special cases:
	* <ul><li>If the argument is positive zero or negative zero, the
	* result is positive zero.
	* <li>If the argument is infinite, the result is positive infinity.
	* <li>If the argument is NaN, the result is NaN.</ul>
	* In other words, the result is the same as the value of the expression:
	* <p>{@code Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))}
	*
	* @param   a   the argument whose absolute value is to be determined
	* @return  the absolute value of the argument.
	*/
	@:overload public static function abs(a : Single) : Single;
	
	/**
	* Returns the absolute value of a {@code double} value.
	* If the argument is not negative, the argument is returned.
	* If the argument is negative, the negation of the argument is returned.
	* Special cases:
	* <ul><li>If the argument is positive zero or negative zero, the result
	* is positive zero.
	* <li>If the argument is infinite, the result is positive infinity.
	* <li>If the argument is NaN, the result is NaN.</ul>
	* In other words, the result is the same as the value of the expression:
	* <p>{@code Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)}
	*
	* @param   a   the argument whose absolute value is to be determined
	* @return  the absolute value of the argument.
	*/
	@:overload public static function abs(a : Float) : Float;
	
	/**
	* Returns the greater of two {@code int} values. That is, the
	* result is the argument closer to the value of
	* {@link Integer#MAX_VALUE}. If the arguments have the same value,
	* the result is that same value.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the larger of {@code a} and {@code b}.
	*/
	@:overload public static function max(a : Int, b : Int) : Int;
	
	/**
	* Returns the greater of two {@code long} values. That is, the
	* result is the argument closer to the value of
	* {@link Long#MAX_VALUE}. If the arguments have the same value,
	* the result is that same value.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the larger of {@code a} and {@code b}.
	*/
	@:overload public static function max(a : haxe.Int64, b : haxe.Int64) : haxe.Int64;
	
	/**
	* Returns the greater of two {@code float} values.  That is,
	* the result is the argument closer to positive infinity. If the
	* arguments have the same value, the result is that same
	* value. If either value is NaN, then the result is NaN.  Unlike
	* the numerical comparison operators, this method considers
	* negative zero to be strictly smaller than positive zero. If one
	* argument is positive zero and the other negative zero, the
	* result is positive zero.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the larger of {@code a} and {@code b}.
	*/
	@:overload public static function max(a : Single, b : Single) : Single;
	
	/**
	* Returns the greater of two {@code double} values.  That
	* is, the result is the argument closer to positive infinity. If
	* the arguments have the same value, the result is that same
	* value. If either value is NaN, then the result is NaN.  Unlike
	* the numerical comparison operators, this method considers
	* negative zero to be strictly smaller than positive zero. If one
	* argument is positive zero and the other negative zero, the
	* result is positive zero.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the larger of {@code a} and {@code b}.
	*/
	@:overload public static function max(a : Float, b : Float) : Float;
	
	/**
	* Returns the smaller of two {@code int} values. That is,
	* the result the argument closer to the value of
	* {@link Integer#MIN_VALUE}.  If the arguments have the same
	* value, the result is that same value.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the smaller of {@code a} and {@code b}.
	*/
	@:overload public static function min(a : Int, b : Int) : Int;
	
	/**
	* Returns the smaller of two {@code long} values. That is,
	* the result is the argument closer to the value of
	* {@link Long#MIN_VALUE}. If the arguments have the same
	* value, the result is that same value.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the smaller of {@code a} and {@code b}.
	*/
	@:overload public static function min(a : haxe.Int64, b : haxe.Int64) : haxe.Int64;
	
	/**
	* Returns the smaller of two {@code float} values.  That is,
	* the result is the value closer to negative infinity. If the
	* arguments have the same value, the result is that same
	* value. If either value is NaN, then the result is NaN.  Unlike
	* the numerical comparison operators, this method considers
	* negative zero to be strictly smaller than positive zero.  If
	* one argument is positive zero and the other is negative zero,
	* the result is negative zero.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the smaller of {@code a} and {@code b}.
	*/
	@:overload public static function min(a : Single, b : Single) : Single;
	
	/**
	* Returns the smaller of two {@code double} values.  That
	* is, the result is the value closer to negative infinity. If the
	* arguments have the same value, the result is that same
	* value. If either value is NaN, then the result is NaN.  Unlike
	* the numerical comparison operators, this method considers
	* negative zero to be strictly smaller than positive zero. If one
	* argument is positive zero and the other is negative zero, the
	* result is negative zero.
	*
	* @param   a   an argument.
	* @param   b   another argument.
	* @return  the smaller of {@code a} and {@code b}.
	*/
	@:overload public static function min(a : Float, b : Float) : Float;
	
	/**
	* Returns the size of an ulp of the argument.  An ulp of a
	* {@code double} value is the positive distance between this
	* floating-point value and the {@code double} value next
	* larger in magnitude.  Note that for non-NaN <i>x</i>,
	* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, then the result is NaN.
	* <li> If the argument is positive or negative infinity, then the
	* result is positive infinity.
	* <li> If the argument is positive or negative zero, then the result is
	* {@code Double.MIN_VALUE}.
	* <li> If the argument is &plusmn;{@code Double.MAX_VALUE}, then
	* the result is equal to 2<sup>971</sup>.
	* </ul>
	*
	* @param d the floating-point value whose ulp is to be returned
	* @return the size of an ulp of the argument
	* @author Joseph D. Darcy
	* @since 1.5
	*/
	@:require(java5) @:overload public static function ulp(d : Float) : Float;
	
	/**
	* Returns the size of an ulp of the argument.  An ulp of a
	* {@code float} value is the positive distance between this
	* floating-point value and the {@code float} value next
	* larger in magnitude.  Note that for non-NaN <i>x</i>,
	* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, then the result is NaN.
	* <li> If the argument is positive or negative infinity, then the
	* result is positive infinity.
	* <li> If the argument is positive or negative zero, then the result is
	* {@code Float.MIN_VALUE}.
	* <li> If the argument is &plusmn;{@code Float.MAX_VALUE}, then
	* the result is equal to 2<sup>104</sup>.
	* </ul>
	*
	* @param f the floating-point value whose ulp is to be returned
	* @return the size of an ulp of the argument
	* @author Joseph D. Darcy
	* @since 1.5
	*/
	@:require(java5) @:overload public static function ulp(f : Single) : Single;
	
	/**
	* Returns the signum function of the argument; zero if the argument
	* is zero, 1.0 if the argument is greater than zero, -1.0 if the
	* argument is less than zero.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, then the result is NaN.
	* <li> If the argument is positive zero or negative zero, then the
	*      result is the same as the argument.
	* </ul>
	*
	* @param d the floating-point value whose signum is to be returned
	* @return the signum function of the argument
	* @author Joseph D. Darcy
	* @since 1.5
	*/
	@:require(java5) @:overload public static function signum(d : Float) : Float;
	
	/**
	* Returns the signum function of the argument; zero if the argument
	* is zero, 1.0f if the argument is greater than zero, -1.0f if the
	* argument is less than zero.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, then the result is NaN.
	* <li> If the argument is positive zero or negative zero, then the
	*      result is the same as the argument.
	* </ul>
	*
	* @param f the floating-point value whose signum is to be returned
	* @return the signum function of the argument
	* @author Joseph D. Darcy
	* @since 1.5
	*/
	@:require(java5) @:overload public static function signum(f : Single) : Single;
	
	/**
	* Returns the hyperbolic sine of a {@code double} value.
	* The hyperbolic sine of <i>x</i> is defined to be
	* (<i>e<sup>x</sup>&nbsp;-&nbsp;e<sup>-x</sup></i>)/2
	* where <i>e</i> is {@linkplain Math#E Euler's number}.
	*
	* <p>Special cases:
	* <ul>
	*
	* <li>If the argument is NaN, then the result is NaN.
	*
	* <li>If the argument is infinite, then the result is an infinity
	* with the same sign as the argument.
	*
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.
	*
	* </ul>
	*
	* <p>The computed result must be within 2.5 ulps of the exact result.
	*
	* @param   x The number whose hyperbolic sine is to be returned.
	* @return  The hyperbolic sine of {@code x}.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function sinh(x : Float) : Float;
	
	/**
	* Returns the hyperbolic cosine of a {@code double} value.
	* The hyperbolic cosine of <i>x</i> is defined to be
	* (<i>e<sup>x</sup>&nbsp;+&nbsp;e<sup>-x</sup></i>)/2
	* where <i>e</i> is {@linkplain Math#E Euler's number}.
	*
	* <p>Special cases:
	* <ul>
	*
	* <li>If the argument is NaN, then the result is NaN.
	*
	* <li>If the argument is infinite, then the result is positive
	* infinity.
	*
	* <li>If the argument is zero, then the result is {@code 1.0}.
	*
	* </ul>
	*
	* <p>The computed result must be within 2.5 ulps of the exact result.
	*
	* @param   x The number whose hyperbolic cosine is to be returned.
	* @return  The hyperbolic cosine of {@code x}.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function cosh(x : Float) : Float;
	
	/**
	* Returns the hyperbolic tangent of a {@code double} value.
	* The hyperbolic tangent of <i>x</i> is defined to be
	* (<i>e<sup>x</sup>&nbsp;-&nbsp;e<sup>-x</sup></i>)/(<i>e<sup>x</sup>&nbsp;+&nbsp;e<sup>-x</sup></i>),
	* in other words, {@linkplain Math#sinh
	* sinh(<i>x</i>)}/{@linkplain Math#cosh cosh(<i>x</i>)}.  Note
	* that the absolute value of the exact tanh is always less than
	* 1.
	*
	* <p>Special cases:
	* <ul>
	*
	* <li>If the argument is NaN, then the result is NaN.
	*
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.
	*
	* <li>If the argument is positive infinity, then the result is
	* {@code +1.0}.
	*
	* <li>If the argument is negative infinity, then the result is
	* {@code -1.0}.
	*
	* </ul>
	*
	* <p>The computed result must be within 2.5 ulps of the exact result.
	* The result of {@code tanh} for any finite input must have
	* an absolute value less than or equal to 1.  Note that once the
	* exact result of tanh is within 1/2 of an ulp of the limit value
	* of &plusmn;1, correctly signed &plusmn;{@code 1.0} should
	* be returned.
	*
	* @param   x The number whose hyperbolic tangent is to be returned.
	* @return  The hyperbolic tangent of {@code x}.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function tanh(x : Float) : Float;
	
	/**
	* Returns sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
	* without intermediate overflow or underflow.
	*
	* <p>Special cases:
	* <ul>
	*
	* <li> If either argument is infinite, then the result
	* is positive infinity.
	*
	* <li> If either argument is NaN and neither argument is infinite,
	* then the result is NaN.
	*
	* </ul>
	*
	* <p>The computed result must be within 1 ulp of the exact
	* result.  If one parameter is held constant, the results must be
	* semi-monotonic in the other parameter.
	*
	* @param x a value
	* @param y a value
	* @return sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
	* without intermediate overflow or underflow
	* @since 1.5
	*/
	@:require(java5) @:overload public static function hypot(x : Float, y : Float) : Float;
	
	/**
	* Returns <i>e</i><sup>x</sup>&nbsp;-1.  Note that for values of
	* <i>x</i> near 0, the exact sum of
	* {@code expm1(x)}&nbsp;+&nbsp;1 is much closer to the true
	* result of <i>e</i><sup>x</sup> than {@code exp(x)}.
	*
	* <p>Special cases:
	* <ul>
	* <li>If the argument is NaN, the result is NaN.
	*
	* <li>If the argument is positive infinity, then the result is
	* positive infinity.
	*
	* <li>If the argument is negative infinity, then the result is
	* -1.0.
	*
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.
	*
	* </ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.  The result of
	* {@code expm1} for any finite input must be greater than or
	* equal to {@code -1.0}.  Note that once the exact result of
	* <i>e</i><sup>{@code x}</sup>&nbsp;-&nbsp;1 is within 1/2
	* ulp of the limit value -1, {@code -1.0} should be
	* returned.
	*
	* @param   x   the exponent to raise <i>e</i> to in the computation of
	*              <i>e</i><sup>{@code x}</sup>&nbsp;-1.
	* @return  the value <i>e</i><sup>{@code x}</sup>&nbsp;-&nbsp;1.
	* @since 1.5
	*/
	@:require(java5) @:overload public static function expm1(x : Float) : Float;
	
	/**
	* Returns the natural logarithm of the sum of the argument and 1.
	* Note that for small values {@code x}, the result of
	* {@code log1p(x)} is much closer to the true result of ln(1
	* + {@code x}) than the floating-point evaluation of
	* {@code log(1.0+x)}.
	*
	* <p>Special cases:
	*
	* <ul>
	*
	* <li>If the argument is NaN or less than -1, then the result is
	* NaN.
	*
	* <li>If the argument is positive infinity, then the result is
	* positive infinity.
	*
	* <li>If the argument is negative one, then the result is
	* negative infinity.
	*
	* <li>If the argument is zero, then the result is a zero with the
	* same sign as the argument.
	*
	* </ul>
	*
	* <p>The computed result must be within 1 ulp of the exact result.
	* Results must be semi-monotonic.
	*
	* @param   x   a value
	* @return the value ln({@code x}&nbsp;+&nbsp;1), the natural
	* log of {@code x}&nbsp;+&nbsp;1
	* @since 1.5
	*/
	@:require(java5) @:overload public static function log1p(x : Float) : Float;
	
	/**
	* Returns the first floating-point argument with the sign of the
	* second floating-point argument.  Note that unlike the {@link
	* StrictMath#copySign(double, double) StrictMath.copySign}
	* method, this method does not require NaN {@code sign}
	* arguments to be treated as positive values; implementations are
	* permitted to treat some NaN arguments as positive and other NaN
	* arguments as negative to allow greater performance.
	*
	* @param magnitude  the parameter providing the magnitude of the result
	* @param sign   the parameter providing the sign of the result
	* @return a value with the magnitude of {@code magnitude}
	* and the sign of {@code sign}.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function copySign(magnitude : Float, sign : Float) : Float;
	
	/**
	* Returns the first floating-point argument with the sign of the
	* second floating-point argument.  Note that unlike the {@link
	* StrictMath#copySign(float, float) StrictMath.copySign}
	* method, this method does not require NaN {@code sign}
	* arguments to be treated as positive values; implementations are
	* permitted to treat some NaN arguments as positive and other NaN
	* arguments as negative to allow greater performance.
	*
	* @param magnitude  the parameter providing the magnitude of the result
	* @param sign   the parameter providing the sign of the result
	* @return a value with the magnitude of {@code magnitude}
	* and the sign of {@code sign}.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function copySign(magnitude : Single, sign : Single) : Single;
	
	/**
	* Returns the unbiased exponent used in the representation of a
	* {@code float}.  Special cases:
	*
	* <ul>
	* <li>If the argument is NaN or infinite, then the result is
	* {@link Float#MAX_EXPONENT} + 1.
	* <li>If the argument is zero or subnormal, then the result is
	* {@link Float#MIN_EXPONENT} -1.
	* </ul>
	* @param f a {@code float} value
	* @return the unbiased exponent of the argument
	* @since 1.6
	*/
	@:require(java6) @:overload public static function getExponent(f : Single) : Int;
	
	/**
	* Returns the unbiased exponent used in the representation of a
	* {@code double}.  Special cases:
	*
	* <ul>
	* <li>If the argument is NaN or infinite, then the result is
	* {@link Double#MAX_EXPONENT} + 1.
	* <li>If the argument is zero or subnormal, then the result is
	* {@link Double#MIN_EXPONENT} -1.
	* </ul>
	* @param d a {@code double} value
	* @return the unbiased exponent of the argument
	* @since 1.6
	*/
	@:require(java6) @:overload public static function getExponent(d : Float) : Int;
	
	/**
	* Returns the floating-point number adjacent to the first
	* argument in the direction of the second argument.  If both
	* arguments compare as equal the second argument is returned.
	*
	* <p>
	* Special cases:
	* <ul>
	* <li> If either argument is a NaN, then NaN is returned.
	*
	* <li> If both arguments are signed zeros, {@code direction}
	* is returned unchanged (as implied by the requirement of
	* returning the second argument if the arguments compare as
	* equal).
	*
	* <li> If {@code start} is
	* &plusmn;{@link Double#MIN_VALUE} and {@code direction}
	* has a value such that the result should have a smaller
	* magnitude, then a zero with the same sign as {@code start}
	* is returned.
	*
	* <li> If {@code start} is infinite and
	* {@code direction} has a value such that the result should
	* have a smaller magnitude, {@link Double#MAX_VALUE} with the
	* same sign as {@code start} is returned.
	*
	* <li> If {@code start} is equal to &plusmn;
	* {@link Double#MAX_VALUE} and {@code direction} has a
	* value such that the result should have a larger magnitude, an
	* infinity with same sign as {@code start} is returned.
	* </ul>
	*
	* @param start  starting floating-point value
	* @param direction value indicating which of
	* {@code start}'s neighbors or {@code start} should
	* be returned
	* @return The floating-point number adjacent to {@code start} in the
	* direction of {@code direction}.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function nextAfter(start : Float, direction : Float) : Float;
	
	/**
	* Returns the floating-point number adjacent to the first
	* argument in the direction of the second argument.  If both
	* arguments compare as equal a value equivalent to the second argument
	* is returned.
	*
	* <p>
	* Special cases:
	* <ul>
	* <li> If either argument is a NaN, then NaN is returned.
	*
	* <li> If both arguments are signed zeros, a value equivalent
	* to {@code direction} is returned.
	*
	* <li> If {@code start} is
	* &plusmn;{@link Float#MIN_VALUE} and {@code direction}
	* has a value such that the result should have a smaller
	* magnitude, then a zero with the same sign as {@code start}
	* is returned.
	*
	* <li> If {@code start} is infinite and
	* {@code direction} has a value such that the result should
	* have a smaller magnitude, {@link Float#MAX_VALUE} with the
	* same sign as {@code start} is returned.
	*
	* <li> If {@code start} is equal to &plusmn;
	* {@link Float#MAX_VALUE} and {@code direction} has a
	* value such that the result should have a larger magnitude, an
	* infinity with same sign as {@code start} is returned.
	* </ul>
	*
	* @param start  starting floating-point value
	* @param direction value indicating which of
	* {@code start}'s neighbors or {@code start} should
	* be returned
	* @return The floating-point number adjacent to {@code start} in the
	* direction of {@code direction}.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function nextAfter(start : Single, direction : Float) : Single;
	
	/**
	* Returns the floating-point value adjacent to {@code d} in
	* the direction of positive infinity.  This method is
	* semantically equivalent to {@code nextAfter(d,
	* Double.POSITIVE_INFINITY)}; however, a {@code nextUp}
	* implementation may run faster than its equivalent
	* {@code nextAfter} call.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, the result is NaN.
	*
	* <li> If the argument is positive infinity, the result is
	* positive infinity.
	*
	* <li> If the argument is zero, the result is
	* {@link Double#MIN_VALUE}
	*
	* </ul>
	*
	* @param d starting floating-point value
	* @return The adjacent floating-point value closer to positive
	* infinity.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function nextUp(d : Float) : Float;
	
	/**
	* Returns the floating-point value adjacent to {@code f} in
	* the direction of positive infinity.  This method is
	* semantically equivalent to {@code nextAfter(f,
	* Float.POSITIVE_INFINITY)}; however, a {@code nextUp}
	* implementation may run faster than its equivalent
	* {@code nextAfter} call.
	*
	* <p>Special Cases:
	* <ul>
	* <li> If the argument is NaN, the result is NaN.
	*
	* <li> If the argument is positive infinity, the result is
	* positive infinity.
	*
	* <li> If the argument is zero, the result is
	* {@link Float#MIN_VALUE}
	*
	* </ul>
	*
	* @param f starting floating-point value
	* @return The adjacent floating-point value closer to positive
	* infinity.
	* @since 1.6
	*/
	@:require(java6) @:overload public static function nextUp(f : Single) : Single;
	
	/**
	* Return {@code d} &times;
	* 2<sup>{@code scaleFactor}</sup> rounded as if performed
	* by a single correctly rounded floating-point multiply to a
	* member of the double value set.  See the Java
	* Language Specification for a discussion of floating-point
	* value sets.  If the exponent of the result is between {@link
	* Double#MIN_EXPONENT} and {@link Double#MAX_EXPONENT}, the
	* answer is calculated exactly.  If the exponent of the result
	* would be larger than {@code Double.MAX_EXPONENT}, an
	* infinity is returned.  Note that if the result is subnormal,
	* precision may be lost; that is, when {@code scalb(x, n)}
	* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
	* <i>x</i>.  When the result is non-NaN, the result has the same
	* sign as {@code d}.
	*
	* <p>Special cases:
	* <ul>
	* <li> If the first argument is NaN, NaN is returned.
	* <li> If the first argument is infinite, then an infinity of the
	* same sign is returned.
	* <li> If the first argument is zero, then a zero of the same
	* sign is returned.
	* </ul>
	*
	* @param d number to be scaled by a power of two.
	* @param scaleFactor power of 2 used to scale {@code d}
	* @return {@code d} &times; 2<sup>{@code scaleFactor}</sup>
	* @since 1.6
	*/
	@:require(java6) @:overload public static function scalb(d : Float, scaleFactor : Int) : Float;
	
	/**
	* Return {@code f} &times;
	* 2<sup>{@code scaleFactor}</sup> rounded as if performed
	* by a single correctly rounded floating-point multiply to a
	* member of the float value set.  See the Java
	* Language Specification for a discussion of floating-point
	* value sets.  If the exponent of the result is between {@link
	* Float#MIN_EXPONENT} and {@link Float#MAX_EXPONENT}, the
	* answer is calculated exactly.  If the exponent of the result
	* would be larger than {@code Float.MAX_EXPONENT}, an
	* infinity is returned.  Note that if the result is subnormal,
	* precision may be lost; that is, when {@code scalb(x, n)}
	* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
	* <i>x</i>.  When the result is non-NaN, the result has the same
	* sign as {@code f}.
	*
	* <p>Special cases:
	* <ul>
	* <li> If the first argument is NaN, NaN is returned.
	* <li> If the first argument is infinite, then an infinity of the
	* same sign is returned.
	* <li> If the first argument is zero, then a zero of the same
	* sign is returned.
	* </ul>
	*
	* @param f number to be scaled by a power of two.
	* @param scaleFactor power of 2 used to scale {@code f}
	* @return {@code f} &times; 2<sup>{@code scaleFactor}</sup>
	* @since 1.6
	*/
	@:require(java6) @:overload public static function scalb(f : Single, scaleFactor : Int) : Single;
	
	
}