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/*
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* Copyright (c) 1994, 2011, Oracle and/or its affiliates. All rights reserved.
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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*
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* This code is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License version 2 only, as
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* published by the Free Software Foundation. Oracle designates this
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* particular file as subject to the "Classpath" exception as provided
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* by Oracle in the LICENSE file that accompanied this code.
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*
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* This code is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* version 2 for more details (a copy is included in the LICENSE file that
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* accompanied this code).
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*
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* You should have received a copy of the GNU General Public License version
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* 2 along with this work; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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*
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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* or visit www.oracle.com if you need additional information or have any
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* questions.
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*/
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package java.lang;
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import org.apidesign.bck2brwsr.core.JavaScriptBody;
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/**
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* The class {@code Math} contains methods for performing basic
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* numeric operations such as the elementary exponential, logarithm,
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* square root, and trigonometric functions.
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*
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* <p>Unlike some of the numeric methods of class
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* {@code StrictMath}, all implementations of the equivalent
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* functions of class {@code Math} are not defined to return the
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* bit-for-bit same results. This relaxation permits
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* better-performing implementations where strict reproducibility is
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* not required.
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*
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* <p>By default many of the {@code Math} methods simply call
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* the equivalent method in {@code StrictMath} for their
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* implementation. Code generators are encouraged to use
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* platform-specific native libraries or microprocessor instructions,
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* where available, to provide higher-performance implementations of
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* {@code Math} methods. Such higher-performance
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* implementations still must conform to the specification for
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* {@code Math}.
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*
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* <p>The quality of implementation specifications concern two
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* properties, accuracy of the returned result and monotonicity of the
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* method. Accuracy of the floating-point {@code Math} methods
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* is measured in terms of <i>ulps</i>, units in the last place. For
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* a given floating-point format, an ulp of a specific real number
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* value is the distance between the two floating-point values
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* bracketing that numerical value. When discussing the accuracy of a
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* method as a whole rather than at a specific argument, the number of
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* ulps cited is for the worst-case error at any argument. If a
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* method always has an error less than 0.5 ulps, the method always
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* returns the floating-point number nearest the exact result; such a
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* method is <i>correctly rounded</i>. A correctly rounded method is
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* generally the best a floating-point approximation can be; however,
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* it is impractical for many floating-point methods to be correctly
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* rounded. Instead, for the {@code Math} class, a larger error
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* bound of 1 or 2 ulps is allowed for certain methods. Informally,
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* with a 1 ulp error bound, when the exact result is a representable
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* number, the exact result should be returned as the computed result;
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* otherwise, either of the two floating-point values which bracket
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* the exact result may be returned. For exact results large in
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* magnitude, one of the endpoints of the bracket may be infinite.
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* Besides accuracy at individual arguments, maintaining proper
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* relations between the method at different arguments is also
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* important. Therefore, most methods with more than 0.5 ulp errors
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* are required to be <i>semi-monotonic</i>: whenever the mathematical
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* function is non-decreasing, so is the floating-point approximation,
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* likewise, whenever the mathematical function is non-increasing, so
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* is the floating-point approximation. Not all approximations that
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* have 1 ulp accuracy will automatically meet the monotonicity
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* requirements.
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*
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* @author unascribed
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* @author Joseph D. Darcy
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* @since JDK1.0
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*/
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public final class Math {
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/**
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* Don't let anyone instantiate this class.
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*/
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private Math() {}
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/**
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* The {@code double} value that is closer than any other to
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* <i>e</i>, the base of the natural logarithms.
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*/
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public static final double E = 2.7182818284590452354;
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/**
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* The {@code double} value that is closer than any other to
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* <i>pi</i>, the ratio of the circumference of a circle to its
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* diameter.
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*/
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public static final double PI = 3.14159265358979323846;
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/**
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* Returns the trigonometric sine of an angle. Special cases:
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* <ul><li>If the argument is NaN or an infinity, then the
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* result is NaN.
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* <li>If the argument is zero, then the result is a zero with the
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* same sign as the argument.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a an angle, in radians.
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* @return the sine of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.sin(a);")
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public static double sin(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the trigonometric cosine of an angle. Special cases:
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* <ul><li>If the argument is NaN or an infinity, then the
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* result is NaN.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a an angle, in radians.
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* @return the cosine of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.cos(a);")
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public static double cos(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the trigonometric tangent of an angle. Special cases:
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* <ul><li>If the argument is NaN or an infinity, then the result
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* is NaN.
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* <li>If the argument is zero, then the result is a zero with the
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* same sign as the argument.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a an angle, in radians.
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* @return the tangent of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.tan(a);")
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public static double tan(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the arc sine of a value; the returned angle is in the
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* range -<i>pi</i>/2 through <i>pi</i>/2. Special cases:
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* <ul><li>If the argument is NaN or its absolute value is greater
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* than 1, then the result is NaN.
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* <li>If the argument is zero, then the result is a zero with the
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* same sign as the argument.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a the value whose arc sine is to be returned.
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* @return the arc sine of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.asin(a);")
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public static double asin(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the arc cosine of a value; the returned angle is in the
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* range 0.0 through <i>pi</i>. Special case:
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* <ul><li>If the argument is NaN or its absolute value is greater
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* than 1, then the result is NaN.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a the value whose arc cosine is to be returned.
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* @return the arc cosine of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.acos(a);")
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public static double acos(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the arc tangent of a value; the returned angle is in the
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* range -<i>pi</i>/2 through <i>pi</i>/2. Special cases:
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* <ul><li>If the argument is NaN, then the result is NaN.
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* <li>If the argument is zero, then the result is a zero with the
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* same sign as the argument.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a the value whose arc tangent is to be returned.
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* @return the arc tangent of the argument.
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*/
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@JavaScriptBody(args="a", body="return Math.atan(a);")
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public static double atan(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Converts an angle measured in degrees to an approximately
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* equivalent angle measured in radians. The conversion from
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* degrees to radians is generally inexact.
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*
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* @param angdeg an angle, in degrees
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* @return the measurement of the angle {@code angdeg}
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* in radians.
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* @since 1.2
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*/
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public static double toRadians(double angdeg) {
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return angdeg / 180.0 * PI;
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}
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/**
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* Converts an angle measured in radians to an approximately
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* equivalent angle measured in degrees. The conversion from
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* radians to degrees is generally inexact; users should
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* <i>not</i> expect {@code cos(toRadians(90.0))} to exactly
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* equal {@code 0.0}.
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*
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* @param angrad an angle, in radians
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* @return the measurement of the angle {@code angrad}
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* in degrees.
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* @since 1.2
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*/
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public static double toDegrees(double angrad) {
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return angrad * 180.0 / PI;
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}
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/**
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* Returns Euler's number <i>e</i> raised to the power of a
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* {@code double} value. Special cases:
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* <ul><li>If the argument is NaN, the result is NaN.
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* <li>If the argument is positive infinity, then the result is
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* positive infinity.
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* <li>If the argument is negative infinity, then the result is
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* positive zero.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a the exponent to raise <i>e</i> to.
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* @return the value <i>e</i><sup>{@code a}</sup>,
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* where <i>e</i> is the base of the natural logarithms.
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*/
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@JavaScriptBody(args="a", body="return Math.exp(a);")
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public static double exp(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the natural logarithm (base <i>e</i>) of a {@code double}
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* value. Special cases:
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* <ul><li>If the argument is NaN or less than zero, then the result
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* is NaN.
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* <li>If the argument is positive infinity, then the result is
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* positive infinity.
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* <li>If the argument is positive zero or negative zero, then the
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* result is negative infinity.</ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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*
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* @param a a value
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* @return the value ln {@code a}, the natural logarithm of
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* {@code a}.
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*/
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@JavaScriptBody(args="a", body="return Math.log(a);")
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public static double log(double a) {
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throw new UnsupportedOperationException();
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}
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/**
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* Returns the base 10 logarithm of a {@code double} value.
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* Special cases:
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*
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* <ul><li>If the argument is NaN or less than zero, then the result
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* is NaN.
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* <li>If the argument is positive infinity, then the result is
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* positive infinity.
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* <li>If the argument is positive zero or negative zero, then the
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* result is negative infinity.
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* <li> If the argument is equal to 10<sup><i>n</i></sup> for
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* integer <i>n</i>, then the result is <i>n</i>.
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* </ul>
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*
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* <p>The computed result must be within 1 ulp of the exact result.
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* Results must be semi-monotonic.
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jaroslav@67
|
303 |
*
|
jaroslav@67
|
304 |
* @param a a value
|
jaroslav@67
|
305 |
* @return the base 10 logarithm of {@code a}.
|
jaroslav@67
|
306 |
* @since 1.5
|
jaroslav@67
|
307 |
*/
|
jtulach@132
|
308 |
@JavaScriptBody(args="a", body="return Math.log(a) / Math.LN10;")
|
jaroslav@67
|
309 |
public static double log10(double a) {
|
jtulach@132
|
310 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
311 |
}
|
jaroslav@67
|
312 |
|
jaroslav@67
|
313 |
/**
|
jaroslav@67
|
314 |
* Returns the correctly rounded positive square root of a
|
jaroslav@67
|
315 |
* {@code double} value.
|
jaroslav@67
|
316 |
* Special cases:
|
jaroslav@67
|
317 |
* <ul><li>If the argument is NaN or less than zero, then the result
|
jaroslav@67
|
318 |
* is NaN.
|
jaroslav@67
|
319 |
* <li>If the argument is positive infinity, then the result is positive
|
jaroslav@67
|
320 |
* infinity.
|
jaroslav@67
|
321 |
* <li>If the argument is positive zero or negative zero, then the
|
jaroslav@67
|
322 |
* result is the same as the argument.</ul>
|
jaroslav@67
|
323 |
* Otherwise, the result is the {@code double} value closest to
|
jaroslav@67
|
324 |
* the true mathematical square root of the argument value.
|
jaroslav@67
|
325 |
*
|
jaroslav@67
|
326 |
* @param a a value.
|
jaroslav@67
|
327 |
* @return the positive square root of {@code a}.
|
jaroslav@67
|
328 |
* If the argument is NaN or less than zero, the result is NaN.
|
jaroslav@67
|
329 |
*/
|
jtulach@132
|
330 |
@JavaScriptBody(args="a", body="return Math.sqrt(a);")
|
jaroslav@67
|
331 |
public static double sqrt(double a) {
|
jtulach@132
|
332 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
333 |
}
|
jaroslav@67
|
334 |
|
jaroslav@67
|
335 |
/**
|
jaroslav@67
|
336 |
* Returns the smallest (closest to negative infinity)
|
jaroslav@67
|
337 |
* {@code double} value that is greater than or equal to the
|
jaroslav@67
|
338 |
* argument and is equal to a mathematical integer. Special cases:
|
jaroslav@67
|
339 |
* <ul><li>If the argument value is already equal to a
|
jaroslav@67
|
340 |
* mathematical integer, then the result is the same as the
|
jaroslav@67
|
341 |
* argument. <li>If the argument is NaN or an infinity or
|
jaroslav@67
|
342 |
* positive zero or negative zero, then the result is the same as
|
jaroslav@67
|
343 |
* the argument. <li>If the argument value is less than zero but
|
jaroslav@67
|
344 |
* greater than -1.0, then the result is negative zero.</ul> Note
|
jaroslav@67
|
345 |
* that the value of {@code Math.ceil(x)} is exactly the
|
jaroslav@67
|
346 |
* value of {@code -Math.floor(-x)}.
|
jaroslav@67
|
347 |
*
|
jaroslav@67
|
348 |
*
|
jaroslav@67
|
349 |
* @param a a value.
|
jaroslav@67
|
350 |
* @return the smallest (closest to negative infinity)
|
jaroslav@67
|
351 |
* floating-point value that is greater than or equal to
|
jaroslav@67
|
352 |
* the argument and is equal to a mathematical integer.
|
jaroslav@67
|
353 |
*/
|
jtulach@132
|
354 |
@JavaScriptBody(args="a", body="return Math.ceil(a);")
|
jaroslav@67
|
355 |
public static double ceil(double a) {
|
jtulach@132
|
356 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
357 |
}
|
jaroslav@67
|
358 |
|
jaroslav@67
|
359 |
/**
|
jaroslav@67
|
360 |
* Returns the largest (closest to positive infinity)
|
jaroslav@67
|
361 |
* {@code double} value that is less than or equal to the
|
jaroslav@67
|
362 |
* argument and is equal to a mathematical integer. Special cases:
|
jaroslav@67
|
363 |
* <ul><li>If the argument value is already equal to a
|
jaroslav@67
|
364 |
* mathematical integer, then the result is the same as the
|
jaroslav@67
|
365 |
* argument. <li>If the argument is NaN or an infinity or
|
jaroslav@67
|
366 |
* positive zero or negative zero, then the result is the same as
|
jaroslav@67
|
367 |
* the argument.</ul>
|
jaroslav@67
|
368 |
*
|
jaroslav@67
|
369 |
* @param a a value.
|
jaroslav@67
|
370 |
* @return the largest (closest to positive infinity)
|
jaroslav@67
|
371 |
* floating-point value that less than or equal to the argument
|
jaroslav@67
|
372 |
* and is equal to a mathematical integer.
|
jaroslav@67
|
373 |
*/
|
jtulach@132
|
374 |
@JavaScriptBody(args="a", body="return Math.floor(a);")
|
jaroslav@67
|
375 |
public static double floor(double a) {
|
jtulach@132
|
376 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
377 |
}
|
jaroslav@67
|
378 |
|
jaroslav@67
|
379 |
/**
|
jaroslav@67
|
380 |
* Returns the angle <i>theta</i> from the conversion of rectangular
|
jaroslav@67
|
381 |
* coordinates ({@code x}, {@code y}) to polar
|
jaroslav@67
|
382 |
* coordinates (r, <i>theta</i>).
|
jaroslav@67
|
383 |
* This method computes the phase <i>theta</i> by computing an arc tangent
|
jaroslav@67
|
384 |
* of {@code y/x} in the range of -<i>pi</i> to <i>pi</i>. Special
|
jaroslav@67
|
385 |
* cases:
|
jaroslav@67
|
386 |
* <ul><li>If either argument is NaN, then the result is NaN.
|
jaroslav@67
|
387 |
* <li>If the first argument is positive zero and the second argument
|
jaroslav@67
|
388 |
* is positive, or the first argument is positive and finite and the
|
jaroslav@67
|
389 |
* second argument is positive infinity, then the result is positive
|
jaroslav@67
|
390 |
* zero.
|
jaroslav@67
|
391 |
* <li>If the first argument is negative zero and the second argument
|
jaroslav@67
|
392 |
* is positive, or the first argument is negative and finite and the
|
jaroslav@67
|
393 |
* second argument is positive infinity, then the result is negative zero.
|
jaroslav@67
|
394 |
* <li>If the first argument is positive zero and the second argument
|
jaroslav@67
|
395 |
* is negative, or the first argument is positive and finite and the
|
jaroslav@67
|
396 |
* second argument is negative infinity, then the result is the
|
jaroslav@67
|
397 |
* {@code double} value closest to <i>pi</i>.
|
jaroslav@67
|
398 |
* <li>If the first argument is negative zero and the second argument
|
jaroslav@67
|
399 |
* is negative, or the first argument is negative and finite and the
|
jaroslav@67
|
400 |
* second argument is negative infinity, then the result is the
|
jaroslav@67
|
401 |
* {@code double} value closest to -<i>pi</i>.
|
jaroslav@67
|
402 |
* <li>If the first argument is positive and the second argument is
|
jaroslav@67
|
403 |
* positive zero or negative zero, or the first argument is positive
|
jaroslav@67
|
404 |
* infinity and the second argument is finite, then the result is the
|
jaroslav@67
|
405 |
* {@code double} value closest to <i>pi</i>/2.
|
jaroslav@67
|
406 |
* <li>If the first argument is negative and the second argument is
|
jaroslav@67
|
407 |
* positive zero or negative zero, or the first argument is negative
|
jaroslav@67
|
408 |
* infinity and the second argument is finite, then the result is the
|
jaroslav@67
|
409 |
* {@code double} value closest to -<i>pi</i>/2.
|
jaroslav@67
|
410 |
* <li>If both arguments are positive infinity, then the result is the
|
jaroslav@67
|
411 |
* {@code double} value closest to <i>pi</i>/4.
|
jaroslav@67
|
412 |
* <li>If the first argument is positive infinity and the second argument
|
jaroslav@67
|
413 |
* is negative infinity, then the result is the {@code double}
|
jaroslav@67
|
414 |
* value closest to 3*<i>pi</i>/4.
|
jaroslav@67
|
415 |
* <li>If the first argument is negative infinity and the second argument
|
jaroslav@67
|
416 |
* is positive infinity, then the result is the {@code double} value
|
jaroslav@67
|
417 |
* closest to -<i>pi</i>/4.
|
jaroslav@67
|
418 |
* <li>If both arguments are negative infinity, then the result is the
|
jaroslav@67
|
419 |
* {@code double} value closest to -3*<i>pi</i>/4.</ul>
|
jaroslav@67
|
420 |
*
|
jaroslav@67
|
421 |
* <p>The computed result must be within 2 ulps of the exact result.
|
jaroslav@67
|
422 |
* Results must be semi-monotonic.
|
jaroslav@67
|
423 |
*
|
jaroslav@67
|
424 |
* @param y the ordinate coordinate
|
jaroslav@67
|
425 |
* @param x the abscissa coordinate
|
jaroslav@67
|
426 |
* @return the <i>theta</i> component of the point
|
jaroslav@67
|
427 |
* (<i>r</i>, <i>theta</i>)
|
jaroslav@67
|
428 |
* in polar coordinates that corresponds to the point
|
jaroslav@67
|
429 |
* (<i>x</i>, <i>y</i>) in Cartesian coordinates.
|
jaroslav@67
|
430 |
*/
|
jtulach@132
|
431 |
@JavaScriptBody(args={"y", "x"}, body="return Math.atan2(y, x);")
|
jaroslav@67
|
432 |
public static double atan2(double y, double x) {
|
jtulach@132
|
433 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
434 |
}
|
jaroslav@67
|
435 |
|
jaroslav@67
|
436 |
/**
|
jaroslav@67
|
437 |
* Returns the value of the first argument raised to the power of the
|
jaroslav@67
|
438 |
* second argument. Special cases:
|
jaroslav@67
|
439 |
*
|
jaroslav@67
|
440 |
* <ul><li>If the second argument is positive or negative zero, then the
|
jaroslav@67
|
441 |
* result is 1.0.
|
jaroslav@67
|
442 |
* <li>If the second argument is 1.0, then the result is the same as the
|
jaroslav@67
|
443 |
* first argument.
|
jaroslav@67
|
444 |
* <li>If the second argument is NaN, then the result is NaN.
|
jaroslav@67
|
445 |
* <li>If the first argument is NaN and the second argument is nonzero,
|
jaroslav@67
|
446 |
* then the result is NaN.
|
jaroslav@67
|
447 |
*
|
jaroslav@67
|
448 |
* <li>If
|
jaroslav@67
|
449 |
* <ul>
|
jaroslav@67
|
450 |
* <li>the absolute value of the first argument is greater than 1
|
jaroslav@67
|
451 |
* and the second argument is positive infinity, or
|
jaroslav@67
|
452 |
* <li>the absolute value of the first argument is less than 1 and
|
jaroslav@67
|
453 |
* the second argument is negative infinity,
|
jaroslav@67
|
454 |
* </ul>
|
jaroslav@67
|
455 |
* then the result is positive infinity.
|
jaroslav@67
|
456 |
*
|
jaroslav@67
|
457 |
* <li>If
|
jaroslav@67
|
458 |
* <ul>
|
jaroslav@67
|
459 |
* <li>the absolute value of the first argument is greater than 1 and
|
jaroslav@67
|
460 |
* the second argument is negative infinity, or
|
jaroslav@67
|
461 |
* <li>the absolute value of the
|
jaroslav@67
|
462 |
* first argument is less than 1 and the second argument is positive
|
jaroslav@67
|
463 |
* infinity,
|
jaroslav@67
|
464 |
* </ul>
|
jaroslav@67
|
465 |
* then the result is positive zero.
|
jaroslav@67
|
466 |
*
|
jaroslav@67
|
467 |
* <li>If the absolute value of the first argument equals 1 and the
|
jaroslav@67
|
468 |
* second argument is infinite, then the result is NaN.
|
jaroslav@67
|
469 |
*
|
jaroslav@67
|
470 |
* <li>If
|
jaroslav@67
|
471 |
* <ul>
|
jaroslav@67
|
472 |
* <li>the first argument is positive zero and the second argument
|
jaroslav@67
|
473 |
* is greater than zero, or
|
jaroslav@67
|
474 |
* <li>the first argument is positive infinity and the second
|
jaroslav@67
|
475 |
* argument is less than zero,
|
jaroslav@67
|
476 |
* </ul>
|
jaroslav@67
|
477 |
* then the result is positive zero.
|
jaroslav@67
|
478 |
*
|
jaroslav@67
|
479 |
* <li>If
|
jaroslav@67
|
480 |
* <ul>
|
jaroslav@67
|
481 |
* <li>the first argument is positive zero and the second argument
|
jaroslav@67
|
482 |
* is less than zero, or
|
jaroslav@67
|
483 |
* <li>the first argument is positive infinity and the second
|
jaroslav@67
|
484 |
* argument is greater than zero,
|
jaroslav@67
|
485 |
* </ul>
|
jaroslav@67
|
486 |
* then the result is positive infinity.
|
jaroslav@67
|
487 |
*
|
jaroslav@67
|
488 |
* <li>If
|
jaroslav@67
|
489 |
* <ul>
|
jaroslav@67
|
490 |
* <li>the first argument is negative zero and the second argument
|
jaroslav@67
|
491 |
* is greater than zero but not a finite odd integer, or
|
jaroslav@67
|
492 |
* <li>the first argument is negative infinity and the second
|
jaroslav@67
|
493 |
* argument is less than zero but not a finite odd integer,
|
jaroslav@67
|
494 |
* </ul>
|
jaroslav@67
|
495 |
* then the result is positive zero.
|
jaroslav@67
|
496 |
*
|
jaroslav@67
|
497 |
* <li>If
|
jaroslav@67
|
498 |
* <ul>
|
jaroslav@67
|
499 |
* <li>the first argument is negative zero and the second argument
|
jaroslav@67
|
500 |
* is a positive finite odd integer, or
|
jaroslav@67
|
501 |
* <li>the first argument is negative infinity and the second
|
jaroslav@67
|
502 |
* argument is a negative finite odd integer,
|
jaroslav@67
|
503 |
* </ul>
|
jaroslav@67
|
504 |
* then the result is negative zero.
|
jaroslav@67
|
505 |
*
|
jaroslav@67
|
506 |
* <li>If
|
jaroslav@67
|
507 |
* <ul>
|
jaroslav@67
|
508 |
* <li>the first argument is negative zero and the second argument
|
jaroslav@67
|
509 |
* is less than zero but not a finite odd integer, or
|
jaroslav@67
|
510 |
* <li>the first argument is negative infinity and the second
|
jaroslav@67
|
511 |
* argument is greater than zero but not a finite odd integer,
|
jaroslav@67
|
512 |
* </ul>
|
jaroslav@67
|
513 |
* then the result is positive infinity.
|
jaroslav@67
|
514 |
*
|
jaroslav@67
|
515 |
* <li>If
|
jaroslav@67
|
516 |
* <ul>
|
jaroslav@67
|
517 |
* <li>the first argument is negative zero and the second argument
|
jaroslav@67
|
518 |
* is a negative finite odd integer, or
|
jaroslav@67
|
519 |
* <li>the first argument is negative infinity and the second
|
jaroslav@67
|
520 |
* argument is a positive finite odd integer,
|
jaroslav@67
|
521 |
* </ul>
|
jaroslav@67
|
522 |
* then the result is negative infinity.
|
jaroslav@67
|
523 |
*
|
jaroslav@67
|
524 |
* <li>If the first argument is finite and less than zero
|
jaroslav@67
|
525 |
* <ul>
|
jaroslav@67
|
526 |
* <li> if the second argument is a finite even integer, the
|
jaroslav@67
|
527 |
* result is equal to the result of raising the absolute value of
|
jaroslav@67
|
528 |
* the first argument to the power of the second argument
|
jaroslav@67
|
529 |
*
|
jaroslav@67
|
530 |
* <li>if the second argument is a finite odd integer, the result
|
jaroslav@67
|
531 |
* is equal to the negative of the result of raising the absolute
|
jaroslav@67
|
532 |
* value of the first argument to the power of the second
|
jaroslav@67
|
533 |
* argument
|
jaroslav@67
|
534 |
*
|
jaroslav@67
|
535 |
* <li>if the second argument is finite and not an integer, then
|
jaroslav@67
|
536 |
* the result is NaN.
|
jaroslav@67
|
537 |
* </ul>
|
jaroslav@67
|
538 |
*
|
jaroslav@67
|
539 |
* <li>If both arguments are integers, then the result is exactly equal
|
jaroslav@67
|
540 |
* to the mathematical result of raising the first argument to the power
|
jaroslav@67
|
541 |
* of the second argument if that result can in fact be represented
|
jaroslav@67
|
542 |
* exactly as a {@code double} value.</ul>
|
jaroslav@67
|
543 |
*
|
jaroslav@67
|
544 |
* <p>(In the foregoing descriptions, a floating-point value is
|
jaroslav@67
|
545 |
* considered to be an integer if and only if it is finite and a
|
jaroslav@67
|
546 |
* fixed point of the method {@link #ceil ceil} or,
|
jaroslav@67
|
547 |
* equivalently, a fixed point of the method {@link #floor
|
jaroslav@67
|
548 |
* floor}. A value is a fixed point of a one-argument
|
jaroslav@67
|
549 |
* method if and only if the result of applying the method to the
|
jaroslav@67
|
550 |
* value is equal to the value.)
|
jaroslav@67
|
551 |
*
|
jaroslav@67
|
552 |
* <p>The computed result must be within 1 ulp of the exact result.
|
jaroslav@67
|
553 |
* Results must be semi-monotonic.
|
jaroslav@67
|
554 |
*
|
jaroslav@67
|
555 |
* @param a the base.
|
jaroslav@67
|
556 |
* @param b the exponent.
|
jaroslav@67
|
557 |
* @return the value {@code a}<sup>{@code b}</sup>.
|
jaroslav@67
|
558 |
*/
|
jtulach@132
|
559 |
@JavaScriptBody(args={"a", "b"}, body="return Math.pow(a, b);")
|
jaroslav@67
|
560 |
public static double pow(double a, double b) {
|
jtulach@132
|
561 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
562 |
}
|
jaroslav@67
|
563 |
|
jaroslav@67
|
564 |
/**
|
jaroslav@67
|
565 |
* Returns the closest {@code int} to the argument, with ties
|
jaroslav@67
|
566 |
* rounding up.
|
jaroslav@67
|
567 |
*
|
jaroslav@67
|
568 |
* <p>
|
jaroslav@67
|
569 |
* Special cases:
|
jaroslav@67
|
570 |
* <ul><li>If the argument is NaN, the result is 0.
|
jaroslav@67
|
571 |
* <li>If the argument is negative infinity or any value less than or
|
jaroslav@67
|
572 |
* equal to the value of {@code Integer.MIN_VALUE}, the result is
|
jaroslav@67
|
573 |
* equal to the value of {@code Integer.MIN_VALUE}.
|
jaroslav@67
|
574 |
* <li>If the argument is positive infinity or any value greater than or
|
jaroslav@67
|
575 |
* equal to the value of {@code Integer.MAX_VALUE}, the result is
|
jaroslav@67
|
576 |
* equal to the value of {@code Integer.MAX_VALUE}.</ul>
|
jaroslav@67
|
577 |
*
|
jaroslav@67
|
578 |
* @param a a floating-point value to be rounded to an integer.
|
jaroslav@67
|
579 |
* @return the value of the argument rounded to the nearest
|
jaroslav@67
|
580 |
* {@code int} value.
|
jaroslav@67
|
581 |
* @see java.lang.Integer#MAX_VALUE
|
jaroslav@67
|
582 |
* @see java.lang.Integer#MIN_VALUE
|
jaroslav@67
|
583 |
*/
|
jtulach@132
|
584 |
@JavaScriptBody(args="a", body="return Math.round(a);")
|
jaroslav@67
|
585 |
public static int round(float a) {
|
jtulach@132
|
586 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
587 |
}
|
jaroslav@67
|
588 |
|
jaroslav@67
|
589 |
/**
|
jaroslav@67
|
590 |
* Returns the closest {@code long} to the argument, with ties
|
jaroslav@67
|
591 |
* rounding up.
|
jaroslav@67
|
592 |
*
|
jaroslav@67
|
593 |
* <p>Special cases:
|
jaroslav@67
|
594 |
* <ul><li>If the argument is NaN, the result is 0.
|
jaroslav@67
|
595 |
* <li>If the argument is negative infinity or any value less than or
|
jaroslav@67
|
596 |
* equal to the value of {@code Long.MIN_VALUE}, the result is
|
jaroslav@67
|
597 |
* equal to the value of {@code Long.MIN_VALUE}.
|
jaroslav@67
|
598 |
* <li>If the argument is positive infinity or any value greater than or
|
jaroslav@67
|
599 |
* equal to the value of {@code Long.MAX_VALUE}, the result is
|
jaroslav@67
|
600 |
* equal to the value of {@code Long.MAX_VALUE}.</ul>
|
jaroslav@67
|
601 |
*
|
jaroslav@67
|
602 |
* @param a a floating-point value to be rounded to a
|
jaroslav@67
|
603 |
* {@code long}.
|
jaroslav@67
|
604 |
* @return the value of the argument rounded to the nearest
|
jaroslav@67
|
605 |
* {@code long} value.
|
jaroslav@67
|
606 |
* @see java.lang.Long#MAX_VALUE
|
jaroslav@67
|
607 |
* @see java.lang.Long#MIN_VALUE
|
jaroslav@67
|
608 |
*/
|
jtulach@132
|
609 |
@JavaScriptBody(args="a", body="return Math.round(a);")
|
jaroslav@67
|
610 |
public static long round(double a) {
|
jtulach@132
|
611 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
612 |
}
|
jaroslav@67
|
613 |
|
jaroslav@84
|
614 |
// private static Random randomNumberGenerator;
|
jaroslav@84
|
615 |
//
|
jaroslav@84
|
616 |
// private static synchronized Random initRNG() {
|
jaroslav@84
|
617 |
// Random rnd = randomNumberGenerator;
|
jaroslav@84
|
618 |
// return (rnd == null) ? (randomNumberGenerator = new Random()) : rnd;
|
jaroslav@84
|
619 |
// }
|
jaroslav@67
|
620 |
|
jaroslav@67
|
621 |
/**
|
jaroslav@67
|
622 |
* Returns a {@code double} value with a positive sign, greater
|
jaroslav@67
|
623 |
* than or equal to {@code 0.0} and less than {@code 1.0}.
|
jaroslav@67
|
624 |
* Returned values are chosen pseudorandomly with (approximately)
|
jaroslav@67
|
625 |
* uniform distribution from that range.
|
jaroslav@67
|
626 |
*
|
jaroslav@67
|
627 |
* <p>When this method is first called, it creates a single new
|
jaroslav@67
|
628 |
* pseudorandom-number generator, exactly as if by the expression
|
jaroslav@67
|
629 |
*
|
jaroslav@67
|
630 |
* <blockquote>{@code new java.util.Random()}</blockquote>
|
jaroslav@67
|
631 |
*
|
jaroslav@67
|
632 |
* This new pseudorandom-number generator is used thereafter for
|
jaroslav@67
|
633 |
* all calls to this method and is used nowhere else.
|
jaroslav@67
|
634 |
*
|
jaroslav@67
|
635 |
* <p>This method is properly synchronized to allow correct use by
|
jaroslav@67
|
636 |
* more than one thread. However, if many threads need to generate
|
jaroslav@67
|
637 |
* pseudorandom numbers at a great rate, it may reduce contention
|
jaroslav@67
|
638 |
* for each thread to have its own pseudorandom-number generator.
|
jaroslav@67
|
639 |
*
|
jaroslav@67
|
640 |
* @return a pseudorandom {@code double} greater than or equal
|
jaroslav@67
|
641 |
* to {@code 0.0} and less than {@code 1.0}.
|
jaroslav@67
|
642 |
* @see Random#nextDouble()
|
jaroslav@67
|
643 |
*/
|
jaroslav@67
|
644 |
public static double random() {
|
jaroslav@84
|
645 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
646 |
}
|
jaroslav@67
|
647 |
|
jaroslav@67
|
648 |
/**
|
jaroslav@67
|
649 |
* Returns the absolute value of an {@code int} value.
|
jaroslav@67
|
650 |
* If the argument is not negative, the argument is returned.
|
jaroslav@67
|
651 |
* If the argument is negative, the negation of the argument is returned.
|
jaroslav@67
|
652 |
*
|
jaroslav@67
|
653 |
* <p>Note that if the argument is equal to the value of
|
jaroslav@67
|
654 |
* {@link Integer#MIN_VALUE}, the most negative representable
|
jaroslav@67
|
655 |
* {@code int} value, the result is that same value, which is
|
jaroslav@67
|
656 |
* negative.
|
jaroslav@67
|
657 |
*
|
jaroslav@67
|
658 |
* @param a the argument whose absolute value is to be determined
|
jaroslav@67
|
659 |
* @return the absolute value of the argument.
|
jaroslav@67
|
660 |
*/
|
jaroslav@67
|
661 |
public static int abs(int a) {
|
jaroslav@67
|
662 |
return (a < 0) ? -a : a;
|
jaroslav@67
|
663 |
}
|
jaroslav@67
|
664 |
|
jaroslav@67
|
665 |
/**
|
jaroslav@67
|
666 |
* Returns the absolute value of a {@code long} value.
|
jaroslav@67
|
667 |
* If the argument is not negative, the argument is returned.
|
jaroslav@67
|
668 |
* If the argument is negative, the negation of the argument is returned.
|
jaroslav@67
|
669 |
*
|
jaroslav@67
|
670 |
* <p>Note that if the argument is equal to the value of
|
jaroslav@67
|
671 |
* {@link Long#MIN_VALUE}, the most negative representable
|
jaroslav@67
|
672 |
* {@code long} value, the result is that same value, which
|
jaroslav@67
|
673 |
* is negative.
|
jaroslav@67
|
674 |
*
|
jaroslav@67
|
675 |
* @param a the argument whose absolute value is to be determined
|
jaroslav@67
|
676 |
* @return the absolute value of the argument.
|
jaroslav@67
|
677 |
*/
|
jaroslav@67
|
678 |
public static long abs(long a) {
|
jaroslav@67
|
679 |
return (a < 0) ? -a : a;
|
jaroslav@67
|
680 |
}
|
jaroslav@67
|
681 |
|
jaroslav@67
|
682 |
/**
|
jaroslav@67
|
683 |
* Returns the absolute value of a {@code float} value.
|
jaroslav@67
|
684 |
* If the argument is not negative, the argument is returned.
|
jaroslav@67
|
685 |
* If the argument is negative, the negation of the argument is returned.
|
jaroslav@67
|
686 |
* Special cases:
|
jaroslav@67
|
687 |
* <ul><li>If the argument is positive zero or negative zero, the
|
jaroslav@67
|
688 |
* result is positive zero.
|
jaroslav@67
|
689 |
* <li>If the argument is infinite, the result is positive infinity.
|
jaroslav@67
|
690 |
* <li>If the argument is NaN, the result is NaN.</ul>
|
jaroslav@67
|
691 |
* In other words, the result is the same as the value of the expression:
|
jaroslav@67
|
692 |
* <p>{@code Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))}
|
jaroslav@67
|
693 |
*
|
jaroslav@67
|
694 |
* @param a the argument whose absolute value is to be determined
|
jaroslav@67
|
695 |
* @return the absolute value of the argument.
|
jaroslav@67
|
696 |
*/
|
jaroslav@67
|
697 |
public static float abs(float a) {
|
jaroslav@67
|
698 |
return (a <= 0.0F) ? 0.0F - a : a;
|
jaroslav@67
|
699 |
}
|
jaroslav@67
|
700 |
|
jaroslav@67
|
701 |
/**
|
jaroslav@67
|
702 |
* Returns the absolute value of a {@code double} value.
|
jaroslav@67
|
703 |
* If the argument is not negative, the argument is returned.
|
jaroslav@67
|
704 |
* If the argument is negative, the negation of the argument is returned.
|
jaroslav@67
|
705 |
* Special cases:
|
jaroslav@67
|
706 |
* <ul><li>If the argument is positive zero or negative zero, the result
|
jaroslav@67
|
707 |
* is positive zero.
|
jaroslav@67
|
708 |
* <li>If the argument is infinite, the result is positive infinity.
|
jaroslav@67
|
709 |
* <li>If the argument is NaN, the result is NaN.</ul>
|
jaroslav@67
|
710 |
* In other words, the result is the same as the value of the expression:
|
jaroslav@67
|
711 |
* <p>{@code Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)}
|
jaroslav@67
|
712 |
*
|
jaroslav@67
|
713 |
* @param a the argument whose absolute value is to be determined
|
jaroslav@67
|
714 |
* @return the absolute value of the argument.
|
jaroslav@67
|
715 |
*/
|
jaroslav@67
|
716 |
public static double abs(double a) {
|
jaroslav@67
|
717 |
return (a <= 0.0D) ? 0.0D - a : a;
|
jaroslav@67
|
718 |
}
|
jaroslav@67
|
719 |
|
jaroslav@67
|
720 |
/**
|
jaroslav@67
|
721 |
* Returns the greater of two {@code int} values. That is, the
|
jaroslav@67
|
722 |
* result is the argument closer to the value of
|
jaroslav@67
|
723 |
* {@link Integer#MAX_VALUE}. If the arguments have the same value,
|
jaroslav@67
|
724 |
* the result is that same value.
|
jaroslav@67
|
725 |
*
|
jaroslav@67
|
726 |
* @param a an argument.
|
jaroslav@67
|
727 |
* @param b another argument.
|
jaroslav@67
|
728 |
* @return the larger of {@code a} and {@code b}.
|
jaroslav@67
|
729 |
*/
|
jaroslav@67
|
730 |
public static int max(int a, int b) {
|
jaroslav@67
|
731 |
return (a >= b) ? a : b;
|
jaroslav@67
|
732 |
}
|
jaroslav@67
|
733 |
|
jaroslav@67
|
734 |
/**
|
jaroslav@67
|
735 |
* Returns the greater of two {@code long} values. That is, the
|
jaroslav@67
|
736 |
* result is the argument closer to the value of
|
jaroslav@67
|
737 |
* {@link Long#MAX_VALUE}. If the arguments have the same value,
|
jaroslav@67
|
738 |
* the result is that same value.
|
jaroslav@67
|
739 |
*
|
jaroslav@67
|
740 |
* @param a an argument.
|
jaroslav@67
|
741 |
* @param b another argument.
|
jaroslav@67
|
742 |
* @return the larger of {@code a} and {@code b}.
|
jaroslav@67
|
743 |
*/
|
jaroslav@67
|
744 |
public static long max(long a, long b) {
|
jaroslav@67
|
745 |
return (a >= b) ? a : b;
|
jaroslav@67
|
746 |
}
|
jaroslav@67
|
747 |
|
jaroslav@67
|
748 |
/**
|
jaroslav@67
|
749 |
* Returns the greater of two {@code float} values. That is,
|
jaroslav@67
|
750 |
* the result is the argument closer to positive infinity. If the
|
jaroslav@67
|
751 |
* arguments have the same value, the result is that same
|
jaroslav@67
|
752 |
* value. If either value is NaN, then the result is NaN. Unlike
|
jaroslav@67
|
753 |
* the numerical comparison operators, this method considers
|
jaroslav@67
|
754 |
* negative zero to be strictly smaller than positive zero. If one
|
jaroslav@67
|
755 |
* argument is positive zero and the other negative zero, the
|
jaroslav@67
|
756 |
* result is positive zero.
|
jaroslav@67
|
757 |
*
|
jaroslav@67
|
758 |
* @param a an argument.
|
jaroslav@67
|
759 |
* @param b another argument.
|
jaroslav@67
|
760 |
* @return the larger of {@code a} and {@code b}.
|
jaroslav@67
|
761 |
*/
|
jaroslav@104
|
762 |
@JavaScriptBody(args={"a", "b"},
|
jaroslav@104
|
763 |
body="return Math.max(a,b);"
|
jaroslav@104
|
764 |
)
|
jaroslav@67
|
765 |
public static float max(float a, float b) {
|
jaroslav@104
|
766 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
767 |
}
|
jaroslav@67
|
768 |
|
jaroslav@67
|
769 |
/**
|
jaroslav@67
|
770 |
* Returns the greater of two {@code double} values. That
|
jaroslav@67
|
771 |
* is, the result is the argument closer to positive infinity. If
|
jaroslav@67
|
772 |
* the arguments have the same value, the result is that same
|
jaroslav@67
|
773 |
* value. If either value is NaN, then the result is NaN. Unlike
|
jaroslav@67
|
774 |
* the numerical comparison operators, this method considers
|
jaroslav@67
|
775 |
* negative zero to be strictly smaller than positive zero. If one
|
jaroslav@67
|
776 |
* argument is positive zero and the other negative zero, the
|
jaroslav@67
|
777 |
* result is positive zero.
|
jaroslav@67
|
778 |
*
|
jaroslav@67
|
779 |
* @param a an argument.
|
jaroslav@67
|
780 |
* @param b another argument.
|
jaroslav@67
|
781 |
* @return the larger of {@code a} and {@code b}.
|
jaroslav@67
|
782 |
*/
|
jaroslav@104
|
783 |
@JavaScriptBody(args={"a", "b"},
|
jaroslav@104
|
784 |
body="return Math.max(a,b);"
|
jaroslav@104
|
785 |
)
|
jaroslav@67
|
786 |
public static double max(double a, double b) {
|
jaroslav@104
|
787 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
788 |
}
|
jaroslav@67
|
789 |
|
jaroslav@67
|
790 |
/**
|
jaroslav@67
|
791 |
* Returns the smaller of two {@code int} values. That is,
|
jaroslav@67
|
792 |
* the result the argument closer to the value of
|
jaroslav@67
|
793 |
* {@link Integer#MIN_VALUE}. If the arguments have the same
|
jaroslav@67
|
794 |
* value, the result is that same value.
|
jaroslav@67
|
795 |
*
|
jaroslav@67
|
796 |
* @param a an argument.
|
jaroslav@67
|
797 |
* @param b another argument.
|
jaroslav@67
|
798 |
* @return the smaller of {@code a} and {@code b}.
|
jaroslav@67
|
799 |
*/
|
jaroslav@67
|
800 |
public static int min(int a, int b) {
|
jaroslav@67
|
801 |
return (a <= b) ? a : b;
|
jaroslav@67
|
802 |
}
|
jaroslav@67
|
803 |
|
jaroslav@67
|
804 |
/**
|
jaroslav@67
|
805 |
* Returns the smaller of two {@code long} values. That is,
|
jaroslav@67
|
806 |
* the result is the argument closer to the value of
|
jaroslav@67
|
807 |
* {@link Long#MIN_VALUE}. If the arguments have the same
|
jaroslav@67
|
808 |
* value, the result is that same value.
|
jaroslav@67
|
809 |
*
|
jaroslav@67
|
810 |
* @param a an argument.
|
jaroslav@67
|
811 |
* @param b another argument.
|
jaroslav@67
|
812 |
* @return the smaller of {@code a} and {@code b}.
|
jaroslav@67
|
813 |
*/
|
jaroslav@67
|
814 |
public static long min(long a, long b) {
|
jaroslav@67
|
815 |
return (a <= b) ? a : b;
|
jaroslav@67
|
816 |
}
|
jaroslav@67
|
817 |
|
jaroslav@67
|
818 |
/**
|
jaroslav@67
|
819 |
* Returns the smaller of two {@code float} values. That is,
|
jaroslav@67
|
820 |
* the result is the value closer to negative infinity. If the
|
jaroslav@67
|
821 |
* arguments have the same value, the result is that same
|
jaroslav@67
|
822 |
* value. If either value is NaN, then the result is NaN. Unlike
|
jaroslav@67
|
823 |
* the numerical comparison operators, this method considers
|
jaroslav@67
|
824 |
* negative zero to be strictly smaller than positive zero. If
|
jaroslav@67
|
825 |
* one argument is positive zero and the other is negative zero,
|
jaroslav@67
|
826 |
* the result is negative zero.
|
jaroslav@67
|
827 |
*
|
jaroslav@67
|
828 |
* @param a an argument.
|
jaroslav@67
|
829 |
* @param b another argument.
|
jaroslav@67
|
830 |
* @return the smaller of {@code a} and {@code b}.
|
jaroslav@67
|
831 |
*/
|
jaroslav@104
|
832 |
@JavaScriptBody(args={"a", "b"},
|
jaroslav@104
|
833 |
body="return Math.min(a,b);"
|
jaroslav@104
|
834 |
)
|
jaroslav@67
|
835 |
public static float min(float a, float b) {
|
jaroslav@104
|
836 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
837 |
}
|
jaroslav@67
|
838 |
|
jaroslav@67
|
839 |
/**
|
jaroslav@67
|
840 |
* Returns the smaller of two {@code double} values. That
|
jaroslav@67
|
841 |
* is, the result is the value closer to negative infinity. If the
|
jaroslav@67
|
842 |
* arguments have the same value, the result is that same
|
jaroslav@67
|
843 |
* value. If either value is NaN, then the result is NaN. Unlike
|
jaroslav@67
|
844 |
* the numerical comparison operators, this method considers
|
jaroslav@67
|
845 |
* negative zero to be strictly smaller than positive zero. If one
|
jaroslav@67
|
846 |
* argument is positive zero and the other is negative zero, the
|
jaroslav@67
|
847 |
* result is negative zero.
|
jaroslav@67
|
848 |
*
|
jaroslav@67
|
849 |
* @param a an argument.
|
jaroslav@67
|
850 |
* @param b another argument.
|
jaroslav@67
|
851 |
* @return the smaller of {@code a} and {@code b}.
|
jaroslav@67
|
852 |
*/
|
jaroslav@104
|
853 |
@JavaScriptBody(args={"a", "b"},
|
jaroslav@104
|
854 |
body="return Math.min(a,b);"
|
jaroslav@104
|
855 |
)
|
jaroslav@67
|
856 |
public static double min(double a, double b) {
|
jaroslav@104
|
857 |
throw new UnsupportedOperationException();
|
jaroslav@67
|
858 |
}
|
jaroslav@67
|
859 |
|
jaroslav@67
|
860 |
/**
|
jaroslav@67
|
861 |
* Returns the size of an ulp of the argument. An ulp of a
|
jaroslav@67
|
862 |
* {@code double} value is the positive distance between this
|
jaroslav@67
|
863 |
* floating-point value and the {@code double} value next
|
jaroslav@67
|
864 |
* larger in magnitude. Note that for non-NaN <i>x</i>,
|
jaroslav@67
|
865 |
* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
|
jaroslav@67
|
866 |
*
|
jaroslav@67
|
867 |
* <p>Special Cases:
|
jaroslav@67
|
868 |
* <ul>
|
jaroslav@67
|
869 |
* <li> If the argument is NaN, then the result is NaN.
|
jaroslav@67
|
870 |
* <li> If the argument is positive or negative infinity, then the
|
jaroslav@67
|
871 |
* result is positive infinity.
|
jaroslav@67
|
872 |
* <li> If the argument is positive or negative zero, then the result is
|
jaroslav@67
|
873 |
* {@code Double.MIN_VALUE}.
|
jaroslav@67
|
874 |
* <li> If the argument is ±{@code Double.MAX_VALUE}, then
|
jaroslav@67
|
875 |
* the result is equal to 2<sup>971</sup>.
|
jaroslav@67
|
876 |
* </ul>
|
jaroslav@67
|
877 |
*
|
jaroslav@67
|
878 |
* @param d the floating-point value whose ulp is to be returned
|
jaroslav@67
|
879 |
* @return the size of an ulp of the argument
|
jaroslav@67
|
880 |
* @author Joseph D. Darcy
|
jaroslav@67
|
881 |
* @since 1.5
|
jaroslav@67
|
882 |
*/
|
jaroslav@84
|
883 |
// public static double ulp(double d) {
|
jaroslav@84
|
884 |
// return sun.misc.FpUtils.ulp(d);
|
jaroslav@84
|
885 |
// }
|
jaroslav@67
|
886 |
|
jaroslav@67
|
887 |
/**
|
jaroslav@67
|
888 |
* Returns the size of an ulp of the argument. An ulp of a
|
jaroslav@67
|
889 |
* {@code float} value is the positive distance between this
|
jaroslav@67
|
890 |
* floating-point value and the {@code float} value next
|
jaroslav@67
|
891 |
* larger in magnitude. Note that for non-NaN <i>x</i>,
|
jaroslav@67
|
892 |
* <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
|
jaroslav@67
|
893 |
*
|
jaroslav@67
|
894 |
* <p>Special Cases:
|
jaroslav@67
|
895 |
* <ul>
|
jaroslav@67
|
896 |
* <li> If the argument is NaN, then the result is NaN.
|
jaroslav@67
|
897 |
* <li> If the argument is positive or negative infinity, then the
|
jaroslav@67
|
898 |
* result is positive infinity.
|
jaroslav@67
|
899 |
* <li> If the argument is positive or negative zero, then the result is
|
jaroslav@67
|
900 |
* {@code Float.MIN_VALUE}.
|
jaroslav@67
|
901 |
* <li> If the argument is ±{@code Float.MAX_VALUE}, then
|
jaroslav@67
|
902 |
* the result is equal to 2<sup>104</sup>.
|
jaroslav@67
|
903 |
* </ul>
|
jaroslav@67
|
904 |
*
|
jaroslav@67
|
905 |
* @param f the floating-point value whose ulp is to be returned
|
jaroslav@67
|
906 |
* @return the size of an ulp of the argument
|
jaroslav@67
|
907 |
* @author Joseph D. Darcy
|
jaroslav@67
|
908 |
* @since 1.5
|
jaroslav@67
|
909 |
*/
|
jaroslav@84
|
910 |
// public static float ulp(float f) {
|
jaroslav@84
|
911 |
// return sun.misc.FpUtils.ulp(f);
|
jaroslav@84
|
912 |
// }
|
jaroslav@67
|
913 |
|
jaroslav@67
|
914 |
/**
|
jaroslav@67
|
915 |
* Returns the signum function of the argument; zero if the argument
|
jaroslav@67
|
916 |
* is zero, 1.0 if the argument is greater than zero, -1.0 if the
|
jaroslav@67
|
917 |
* argument is less than zero.
|
jaroslav@67
|
918 |
*
|
jaroslav@67
|
919 |
* <p>Special Cases:
|
jaroslav@67
|
920 |
* <ul>
|
jaroslav@67
|
921 |
* <li> If the argument is NaN, then the result is NaN.
|
jaroslav@67
|
922 |
* <li> If the argument is positive zero or negative zero, then the
|
jaroslav@67
|
923 |
* result is the same as the argument.
|
jaroslav@67
|
924 |
* </ul>
|
jaroslav@67
|
925 |
*
|
jaroslav@67
|
926 |
* @param d the floating-point value whose signum is to be returned
|
jaroslav@67
|
927 |
* @return the signum function of the argument
|
jaroslav@67
|
928 |
* @author Joseph D. Darcy
|
jaroslav@67
|
929 |
* @since 1.5
|
jaroslav@67
|
930 |
*/
|
jaroslav@84
|
931 |
// public static double signum(double d) {
|
jaroslav@84
|
932 |
// return sun.misc.FpUtils.signum(d);
|
jaroslav@84
|
933 |
// }
|
jaroslav@67
|
934 |
|
jaroslav@67
|
935 |
/**
|
jaroslav@67
|
936 |
* Returns the signum function of the argument; zero if the argument
|
jaroslav@67
|
937 |
* is zero, 1.0f if the argument is greater than zero, -1.0f if the
|
jaroslav@67
|
938 |
* argument is less than zero.
|
jaroslav@67
|
939 |
*
|
jaroslav@67
|
940 |
* <p>Special Cases:
|
jaroslav@67
|
941 |
* <ul>
|
jaroslav@67
|
942 |
* <li> If the argument is NaN, then the result is NaN.
|
jaroslav@67
|
943 |
* <li> If the argument is positive zero or negative zero, then the
|
jaroslav@67
|
944 |
* result is the same as the argument.
|
jaroslav@67
|
945 |
* </ul>
|
jaroslav@67
|
946 |
*
|
jaroslav@67
|
947 |
* @param f the floating-point value whose signum is to be returned
|
jaroslav@67
|
948 |
* @return the signum function of the argument
|
jaroslav@67
|
949 |
* @author Joseph D. Darcy
|
jaroslav@67
|
950 |
* @since 1.5
|
jaroslav@67
|
951 |
*/
|
jaroslav@84
|
952 |
// public static float signum(float f) {
|
jaroslav@84
|
953 |
// return sun.misc.FpUtils.signum(f);
|
jaroslav@84
|
954 |
// }
|
jaroslav@67
|
955 |
|
jaroslav@67
|
956 |
/**
|
jaroslav@67
|
957 |
* Returns the first floating-point argument with the sign of the
|
jaroslav@67
|
958 |
* second floating-point argument. Note that unlike the {@link
|
jaroslav@67
|
959 |
* StrictMath#copySign(double, double) StrictMath.copySign}
|
jaroslav@67
|
960 |
* method, this method does not require NaN {@code sign}
|
jaroslav@67
|
961 |
* arguments to be treated as positive values; implementations are
|
jaroslav@67
|
962 |
* permitted to treat some NaN arguments as positive and other NaN
|
jaroslav@67
|
963 |
* arguments as negative to allow greater performance.
|
jaroslav@67
|
964 |
*
|
jaroslav@67
|
965 |
* @param magnitude the parameter providing the magnitude of the result
|
jaroslav@67
|
966 |
* @param sign the parameter providing the sign of the result
|
jaroslav@67
|
967 |
* @return a value with the magnitude of {@code magnitude}
|
jaroslav@67
|
968 |
* and the sign of {@code sign}.
|
jaroslav@67
|
969 |
* @since 1.6
|
jaroslav@67
|
970 |
*/
|
jaroslav@84
|
971 |
// public static double copySign(double magnitude, double sign) {
|
jaroslav@84
|
972 |
// return sun.misc.FpUtils.rawCopySign(magnitude, sign);
|
jaroslav@84
|
973 |
// }
|
jaroslav@67
|
974 |
|
jaroslav@67
|
975 |
/**
|
jaroslav@67
|
976 |
* Returns the first floating-point argument with the sign of the
|
jaroslav@67
|
977 |
* second floating-point argument. Note that unlike the {@link
|
jaroslav@67
|
978 |
* StrictMath#copySign(float, float) StrictMath.copySign}
|
jaroslav@67
|
979 |
* method, this method does not require NaN {@code sign}
|
jaroslav@67
|
980 |
* arguments to be treated as positive values; implementations are
|
jaroslav@67
|
981 |
* permitted to treat some NaN arguments as positive and other NaN
|
jaroslav@67
|
982 |
* arguments as negative to allow greater performance.
|
jaroslav@67
|
983 |
*
|
jaroslav@67
|
984 |
* @param magnitude the parameter providing the magnitude of the result
|
jaroslav@67
|
985 |
* @param sign the parameter providing the sign of the result
|
jaroslav@67
|
986 |
* @return a value with the magnitude of {@code magnitude}
|
jaroslav@67
|
987 |
* and the sign of {@code sign}.
|
jaroslav@67
|
988 |
* @since 1.6
|
jaroslav@67
|
989 |
*/
|
jaroslav@84
|
990 |
// public static float copySign(float magnitude, float sign) {
|
jaroslav@84
|
991 |
// return sun.misc.FpUtils.rawCopySign(magnitude, sign);
|
jaroslav@84
|
992 |
// }
|
jaroslav@67
|
993 |
|
jaroslav@67
|
994 |
/**
|
jaroslav@67
|
995 |
* Returns the unbiased exponent used in the representation of a
|
jaroslav@67
|
996 |
* {@code float}. Special cases:
|
jaroslav@67
|
997 |
*
|
jaroslav@67
|
998 |
* <ul>
|
jaroslav@67
|
999 |
* <li>If the argument is NaN or infinite, then the result is
|
jaroslav@67
|
1000 |
* {@link Float#MAX_EXPONENT} + 1.
|
jaroslav@67
|
1001 |
* <li>If the argument is zero or subnormal, then the result is
|
jaroslav@67
|
1002 |
* {@link Float#MIN_EXPONENT} -1.
|
jaroslav@67
|
1003 |
* </ul>
|
jaroslav@67
|
1004 |
* @param f a {@code float} value
|
jaroslav@67
|
1005 |
* @return the unbiased exponent of the argument
|
jaroslav@67
|
1006 |
* @since 1.6
|
jaroslav@67
|
1007 |
*/
|
jaroslav@84
|
1008 |
// public static int getExponent(float f) {
|
jaroslav@84
|
1009 |
// return sun.misc.FpUtils.getExponent(f);
|
jaroslav@84
|
1010 |
// }
|
jaroslav@67
|
1011 |
|
jaroslav@67
|
1012 |
/**
|
jaroslav@67
|
1013 |
* Returns the unbiased exponent used in the representation of a
|
jaroslav@67
|
1014 |
* {@code double}. Special cases:
|
jaroslav@67
|
1015 |
*
|
jaroslav@67
|
1016 |
* <ul>
|
jaroslav@67
|
1017 |
* <li>If the argument is NaN or infinite, then the result is
|
jaroslav@67
|
1018 |
* {@link Double#MAX_EXPONENT} + 1.
|
jaroslav@67
|
1019 |
* <li>If the argument is zero or subnormal, then the result is
|
jaroslav@67
|
1020 |
* {@link Double#MIN_EXPONENT} -1.
|
jaroslav@67
|
1021 |
* </ul>
|
jaroslav@67
|
1022 |
* @param d a {@code double} value
|
jaroslav@67
|
1023 |
* @return the unbiased exponent of the argument
|
jaroslav@67
|
1024 |
* @since 1.6
|
jaroslav@67
|
1025 |
*/
|
jaroslav@84
|
1026 |
// public static int getExponent(double d) {
|
jaroslav@84
|
1027 |
// return sun.misc.FpUtils.getExponent(d);
|
jaroslav@84
|
1028 |
// }
|
jaroslav@67
|
1029 |
|
jaroslav@67
|
1030 |
/**
|
jaroslav@67
|
1031 |
* Returns the floating-point number adjacent to the first
|
jaroslav@67
|
1032 |
* argument in the direction of the second argument. If both
|
jaroslav@67
|
1033 |
* arguments compare as equal the second argument is returned.
|
jaroslav@67
|
1034 |
*
|
jaroslav@67
|
1035 |
* <p>
|
jaroslav@67
|
1036 |
* Special cases:
|
jaroslav@67
|
1037 |
* <ul>
|
jaroslav@67
|
1038 |
* <li> If either argument is a NaN, then NaN is returned.
|
jaroslav@67
|
1039 |
*
|
jaroslav@67
|
1040 |
* <li> If both arguments are signed zeros, {@code direction}
|
jaroslav@67
|
1041 |
* is returned unchanged (as implied by the requirement of
|
jaroslav@67
|
1042 |
* returning the second argument if the arguments compare as
|
jaroslav@67
|
1043 |
* equal).
|
jaroslav@67
|
1044 |
*
|
jaroslav@67
|
1045 |
* <li> If {@code start} is
|
jaroslav@67
|
1046 |
* ±{@link Double#MIN_VALUE} and {@code direction}
|
jaroslav@67
|
1047 |
* has a value such that the result should have a smaller
|
jaroslav@67
|
1048 |
* magnitude, then a zero with the same sign as {@code start}
|
jaroslav@67
|
1049 |
* is returned.
|
jaroslav@67
|
1050 |
*
|
jaroslav@67
|
1051 |
* <li> If {@code start} is infinite and
|
jaroslav@67
|
1052 |
* {@code direction} has a value such that the result should
|
jaroslav@67
|
1053 |
* have a smaller magnitude, {@link Double#MAX_VALUE} with the
|
jaroslav@67
|
1054 |
* same sign as {@code start} is returned.
|
jaroslav@67
|
1055 |
*
|
jaroslav@67
|
1056 |
* <li> If {@code start} is equal to ±
|
jaroslav@67
|
1057 |
* {@link Double#MAX_VALUE} and {@code direction} has a
|
jaroslav@67
|
1058 |
* value such that the result should have a larger magnitude, an
|
jaroslav@67
|
1059 |
* infinity with same sign as {@code start} is returned.
|
jaroslav@67
|
1060 |
* </ul>
|
jaroslav@67
|
1061 |
*
|
jaroslav@67
|
1062 |
* @param start starting floating-point value
|
jaroslav@67
|
1063 |
* @param direction value indicating which of
|
jaroslav@67
|
1064 |
* {@code start}'s neighbors or {@code start} should
|
jaroslav@67
|
1065 |
* be returned
|
jaroslav@67
|
1066 |
* @return The floating-point number adjacent to {@code start} in the
|
jaroslav@67
|
1067 |
* direction of {@code direction}.
|
jaroslav@67
|
1068 |
* @since 1.6
|
jaroslav@67
|
1069 |
*/
|
jaroslav@84
|
1070 |
// public static double nextAfter(double start, double direction) {
|
jaroslav@84
|
1071 |
// return sun.misc.FpUtils.nextAfter(start, direction);
|
jaroslav@84
|
1072 |
// }
|
jaroslav@67
|
1073 |
|
jaroslav@67
|
1074 |
/**
|
jaroslav@67
|
1075 |
* Returns the floating-point number adjacent to the first
|
jaroslav@67
|
1076 |
* argument in the direction of the second argument. If both
|
jaroslav@67
|
1077 |
* arguments compare as equal a value equivalent to the second argument
|
jaroslav@67
|
1078 |
* is returned.
|
jaroslav@67
|
1079 |
*
|
jaroslav@67
|
1080 |
* <p>
|
jaroslav@67
|
1081 |
* Special cases:
|
jaroslav@67
|
1082 |
* <ul>
|
jaroslav@67
|
1083 |
* <li> If either argument is a NaN, then NaN is returned.
|
jaroslav@67
|
1084 |
*
|
jaroslav@67
|
1085 |
* <li> If both arguments are signed zeros, a value equivalent
|
jaroslav@67
|
1086 |
* to {@code direction} is returned.
|
jaroslav@67
|
1087 |
*
|
jaroslav@67
|
1088 |
* <li> If {@code start} is
|
jaroslav@67
|
1089 |
* ±{@link Float#MIN_VALUE} and {@code direction}
|
jaroslav@67
|
1090 |
* has a value such that the result should have a smaller
|
jaroslav@67
|
1091 |
* magnitude, then a zero with the same sign as {@code start}
|
jaroslav@67
|
1092 |
* is returned.
|
jaroslav@67
|
1093 |
*
|
jaroslav@67
|
1094 |
* <li> If {@code start} is infinite and
|
jaroslav@67
|
1095 |
* {@code direction} has a value such that the result should
|
jaroslav@67
|
1096 |
* have a smaller magnitude, {@link Float#MAX_VALUE} with the
|
jaroslav@67
|
1097 |
* same sign as {@code start} is returned.
|
jaroslav@67
|
1098 |
*
|
jaroslav@67
|
1099 |
* <li> If {@code start} is equal to ±
|
jaroslav@67
|
1100 |
* {@link Float#MAX_VALUE} and {@code direction} has a
|
jaroslav@67
|
1101 |
* value such that the result should have a larger magnitude, an
|
jaroslav@67
|
1102 |
* infinity with same sign as {@code start} is returned.
|
jaroslav@67
|
1103 |
* </ul>
|
jaroslav@67
|
1104 |
*
|
jaroslav@67
|
1105 |
* @param start starting floating-point value
|
jaroslav@67
|
1106 |
* @param direction value indicating which of
|
jaroslav@67
|
1107 |
* {@code start}'s neighbors or {@code start} should
|
jaroslav@67
|
1108 |
* be returned
|
jaroslav@67
|
1109 |
* @return The floating-point number adjacent to {@code start} in the
|
jaroslav@67
|
1110 |
* direction of {@code direction}.
|
jaroslav@67
|
1111 |
* @since 1.6
|
jaroslav@67
|
1112 |
*/
|
jaroslav@84
|
1113 |
// public static float nextAfter(float start, double direction) {
|
jaroslav@84
|
1114 |
// return sun.misc.FpUtils.nextAfter(start, direction);
|
jaroslav@84
|
1115 |
// }
|
jaroslav@67
|
1116 |
|
jaroslav@67
|
1117 |
/**
|
jaroslav@67
|
1118 |
* Returns the floating-point value adjacent to {@code d} in
|
jaroslav@67
|
1119 |
* the direction of positive infinity. This method is
|
jaroslav@67
|
1120 |
* semantically equivalent to {@code nextAfter(d,
|
jaroslav@67
|
1121 |
* Double.POSITIVE_INFINITY)}; however, a {@code nextUp}
|
jaroslav@67
|
1122 |
* implementation may run faster than its equivalent
|
jaroslav@67
|
1123 |
* {@code nextAfter} call.
|
jaroslav@67
|
1124 |
*
|
jaroslav@67
|
1125 |
* <p>Special Cases:
|
jaroslav@67
|
1126 |
* <ul>
|
jaroslav@67
|
1127 |
* <li> If the argument is NaN, the result is NaN.
|
jaroslav@67
|
1128 |
*
|
jaroslav@67
|
1129 |
* <li> If the argument is positive infinity, the result is
|
jaroslav@67
|
1130 |
* positive infinity.
|
jaroslav@67
|
1131 |
*
|
jaroslav@67
|
1132 |
* <li> If the argument is zero, the result is
|
jaroslav@67
|
1133 |
* {@link Double#MIN_VALUE}
|
jaroslav@67
|
1134 |
*
|
jaroslav@67
|
1135 |
* </ul>
|
jaroslav@67
|
1136 |
*
|
jaroslav@67
|
1137 |
* @param d starting floating-point value
|
jaroslav@67
|
1138 |
* @return The adjacent floating-point value closer to positive
|
jaroslav@67
|
1139 |
* infinity.
|
jaroslav@67
|
1140 |
* @since 1.6
|
jaroslav@67
|
1141 |
*/
|
jaroslav@84
|
1142 |
// public static double nextUp(double d) {
|
jaroslav@84
|
1143 |
// return sun.misc.FpUtils.nextUp(d);
|
jaroslav@84
|
1144 |
// }
|
jaroslav@67
|
1145 |
|
jaroslav@67
|
1146 |
/**
|
jaroslav@67
|
1147 |
* Returns the floating-point value adjacent to {@code f} in
|
jaroslav@67
|
1148 |
* the direction of positive infinity. This method is
|
jaroslav@67
|
1149 |
* semantically equivalent to {@code nextAfter(f,
|
jaroslav@67
|
1150 |
* Float.POSITIVE_INFINITY)}; however, a {@code nextUp}
|
jaroslav@67
|
1151 |
* implementation may run faster than its equivalent
|
jaroslav@67
|
1152 |
* {@code nextAfter} call.
|
jaroslav@67
|
1153 |
*
|
jaroslav@67
|
1154 |
* <p>Special Cases:
|
jaroslav@67
|
1155 |
* <ul>
|
jaroslav@67
|
1156 |
* <li> If the argument is NaN, the result is NaN.
|
jaroslav@67
|
1157 |
*
|
jaroslav@67
|
1158 |
* <li> If the argument is positive infinity, the result is
|
jaroslav@67
|
1159 |
* positive infinity.
|
jaroslav@67
|
1160 |
*
|
jaroslav@67
|
1161 |
* <li> If the argument is zero, the result is
|
jaroslav@67
|
1162 |
* {@link Float#MIN_VALUE}
|
jaroslav@67
|
1163 |
*
|
jaroslav@67
|
1164 |
* </ul>
|
jaroslav@67
|
1165 |
*
|
jaroslav@67
|
1166 |
* @param f starting floating-point value
|
jaroslav@67
|
1167 |
* @return The adjacent floating-point value closer to positive
|
jaroslav@67
|
1168 |
* infinity.
|
jaroslav@67
|
1169 |
* @since 1.6
|
jaroslav@67
|
1170 |
*/
|
jaroslav@84
|
1171 |
// public static float nextUp(float f) {
|
jaroslav@84
|
1172 |
// return sun.misc.FpUtils.nextUp(f);
|
jaroslav@84
|
1173 |
// }
|
jaroslav@67
|
1174 |
|
jaroslav@67
|
1175 |
|
jaroslav@67
|
1176 |
/**
|
jaroslav@67
|
1177 |
* Return {@code d} ×
|
jaroslav@67
|
1178 |
* 2<sup>{@code scaleFactor}</sup> rounded as if performed
|
jaroslav@67
|
1179 |
* by a single correctly rounded floating-point multiply to a
|
jaroslav@67
|
1180 |
* member of the double value set. See the Java
|
jaroslav@67
|
1181 |
* Language Specification for a discussion of floating-point
|
jaroslav@67
|
1182 |
* value sets. If the exponent of the result is between {@link
|
jaroslav@67
|
1183 |
* Double#MIN_EXPONENT} and {@link Double#MAX_EXPONENT}, the
|
jaroslav@67
|
1184 |
* answer is calculated exactly. If the exponent of the result
|
jaroslav@67
|
1185 |
* would be larger than {@code Double.MAX_EXPONENT}, an
|
jaroslav@67
|
1186 |
* infinity is returned. Note that if the result is subnormal,
|
jaroslav@67
|
1187 |
* precision may be lost; that is, when {@code scalb(x, n)}
|
jaroslav@67
|
1188 |
* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
|
jaroslav@67
|
1189 |
* <i>x</i>. When the result is non-NaN, the result has the same
|
jaroslav@67
|
1190 |
* sign as {@code d}.
|
jaroslav@67
|
1191 |
*
|
jaroslav@67
|
1192 |
* <p>Special cases:
|
jaroslav@67
|
1193 |
* <ul>
|
jaroslav@67
|
1194 |
* <li> If the first argument is NaN, NaN is returned.
|
jaroslav@67
|
1195 |
* <li> If the first argument is infinite, then an infinity of the
|
jaroslav@67
|
1196 |
* same sign is returned.
|
jaroslav@67
|
1197 |
* <li> If the first argument is zero, then a zero of the same
|
jaroslav@67
|
1198 |
* sign is returned.
|
jaroslav@67
|
1199 |
* </ul>
|
jaroslav@67
|
1200 |
*
|
jaroslav@67
|
1201 |
* @param d number to be scaled by a power of two.
|
jaroslav@67
|
1202 |
* @param scaleFactor power of 2 used to scale {@code d}
|
jaroslav@67
|
1203 |
* @return {@code d} × 2<sup>{@code scaleFactor}</sup>
|
jaroslav@67
|
1204 |
* @since 1.6
|
jaroslav@67
|
1205 |
*/
|
jaroslav@84
|
1206 |
// public static double scalb(double d, int scaleFactor) {
|
jaroslav@84
|
1207 |
// return sun.misc.FpUtils.scalb(d, scaleFactor);
|
jaroslav@84
|
1208 |
// }
|
jaroslav@67
|
1209 |
|
jaroslav@67
|
1210 |
/**
|
jaroslav@67
|
1211 |
* Return {@code f} ×
|
jaroslav@67
|
1212 |
* 2<sup>{@code scaleFactor}</sup> rounded as if performed
|
jaroslav@67
|
1213 |
* by a single correctly rounded floating-point multiply to a
|
jaroslav@67
|
1214 |
* member of the float value set. See the Java
|
jaroslav@67
|
1215 |
* Language Specification for a discussion of floating-point
|
jaroslav@67
|
1216 |
* value sets. If the exponent of the result is between {@link
|
jaroslav@67
|
1217 |
* Float#MIN_EXPONENT} and {@link Float#MAX_EXPONENT}, the
|
jaroslav@67
|
1218 |
* answer is calculated exactly. If the exponent of the result
|
jaroslav@67
|
1219 |
* would be larger than {@code Float.MAX_EXPONENT}, an
|
jaroslav@67
|
1220 |
* infinity is returned. Note that if the result is subnormal,
|
jaroslav@67
|
1221 |
* precision may be lost; that is, when {@code scalb(x, n)}
|
jaroslav@67
|
1222 |
* is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
|
jaroslav@67
|
1223 |
* <i>x</i>. When the result is non-NaN, the result has the same
|
jaroslav@67
|
1224 |
* sign as {@code f}.
|
jaroslav@67
|
1225 |
*
|
jaroslav@67
|
1226 |
* <p>Special cases:
|
jaroslav@67
|
1227 |
* <ul>
|
jaroslav@67
|
1228 |
* <li> If the first argument is NaN, NaN is returned.
|
jaroslav@67
|
1229 |
* <li> If the first argument is infinite, then an infinity of the
|
jaroslav@67
|
1230 |
* same sign is returned.
|
jaroslav@67
|
1231 |
* <li> If the first argument is zero, then a zero of the same
|
jaroslav@67
|
1232 |
* sign is returned.
|
jaroslav@67
|
1233 |
* </ul>
|
jaroslav@67
|
1234 |
*
|
jaroslav@67
|
1235 |
* @param f number to be scaled by a power of two.
|
jaroslav@67
|
1236 |
* @param scaleFactor power of 2 used to scale {@code f}
|
jaroslav@67
|
1237 |
* @return {@code f} × 2<sup>{@code scaleFactor}</sup>
|
jaroslav@67
|
1238 |
* @since 1.6
|
jaroslav@67
|
1239 |
*/
|
jaroslav@84
|
1240 |
// public static float scalb(float f, int scaleFactor) {
|
jaroslav@84
|
1241 |
// return sun.misc.FpUtils.scalb(f, scaleFactor);
|
jaroslav@84
|
1242 |
// }
|
jaroslav@67
|
1243 |
}
|