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<!DOCTYPE HTML>
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<head>
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<title>Math (Java SE 12 & JDK 12 )</title>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta name="keywords" content="java.lang.Math class">
<meta name="keywords" content="E">
<meta name="keywords" content="PI">
<meta name="keywords" content="sin()">
<meta name="keywords" content="cos()">
<meta name="keywords" content="tan()">
<meta name="keywords" content="asin()">
<meta name="keywords" content="acos()">
<meta name="keywords" content="atan()">
<meta name="keywords" content="toRadians()">
<meta name="keywords" content="toDegrees()">
<meta name="keywords" content="exp()">
<meta name="keywords" content="log()">
<meta name="keywords" content="log10()">
<meta name="keywords" content="sqrt()">
<meta name="keywords" content="cbrt()">
<meta name="keywords" content="IEEEremainder()">
<meta name="keywords" content="ceil()">
<meta name="keywords" content="floor()">
<meta name="keywords" content="rint()">
<meta name="keywords" content="atan2()">
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<meta name="keywords" content="addExact()">
<meta name="keywords" content="subtractExact()">
<meta name="keywords" content="multiplyExact()">
<meta name="keywords" content="incrementExact()">
<meta name="keywords" content="decrementExact()">
<meta name="keywords" content="negateExact()">
<meta name="keywords" content="toIntExact()">
<meta name="keywords" content="multiplyFull()">
<meta name="keywords" content="multiplyHigh()">
<meta name="keywords" content="floorDiv()">
<meta name="keywords" content="floorMod()">
<meta name="keywords" content="abs()">
<meta name="keywords" content="max()">
<meta name="keywords" content="min()">
<meta name="keywords" content="fma()">
<meta name="keywords" content="ulp()">
<meta name="keywords" content="signum()">
<meta name="keywords" content="sinh()">
<meta name="keywords" content="cosh()">
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<meta name="keywords" content="hypot()">
<meta name="keywords" content="expm1()">
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<meta name="keywords" content="getExponent()">
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<h2 title="Class Math" class="title">Class Math</h2>
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<li><a href="Object.html" title="class in java.lang">java.lang.Object</a></li>
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<li>java.lang.Math</li>
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<pre>public final class <span class="typeNameLabel">Math</span>
extends <a href="Object.html" title="class in java.lang">Object</a></pre>
<div class="block">The class <code>Math</code> 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</code>, all implementations of the equivalent
functions of class <code>Math</code> 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</code> methods simply call
the equivalent method in <code>StrictMath</code> 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</code> methods. Such higher-performance
implementations still must conform to the specification for
<code>Math</code>.
<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</code> methods is
measured in terms of <i>ulps</i>, units in the last place. For a
given floating-point format, an <a href="#ulp(double)">ulp</a> 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</code> 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.
<p>
The platform uses signed two's complement integer arithmetic with
int and long primitive types. The developer should choose
the primitive type to ensure that arithmetic operations consistently
produce correct results, which in some cases means the operations
will not overflow the range of values of the computation.
The best practice is to choose the primitive type and algorithm to avoid
overflow. In cases where the size is <code>int</code> or <code>long</code> and
overflow errors need to be detected, the methods <code>addExact</code>,
<code>subtractExact</code>, <code>multiplyExact</code>, and <code>toIntExact</code>
throw an <code>ArithmeticException</code> when the results overflow.
For other arithmetic operations such as divide, absolute value,
increment by one, decrement by one, and negation, overflow occurs only with
a specific minimum or maximum value and should be checked against
the minimum or maximum as appropriate.</div>
<dl>
<dt><span class="simpleTagLabel">Since:</span></dt>
<dd>1.0</dd>
</dl>
</li>
</ul>
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<h3>Field Summary</h3>
<div class="memberSummary">
<table>
<caption><span>Fields</span><span class="tabEnd"> </span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colSecond" scope="col">Field</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#E">E</a></span></code></th>
<td class="colLast">
<div class="block">The <code>double</code> value that is closer than any other to
<i>e</i>, the base of the natural logarithms.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#PI">PI</a></span></code></th>
<td class="colLast">
<div class="block">The <code>double</code> value that is closer than any other to
<i>pi</i>, the ratio of the circumference of a circle to its
diameter.</div>
</td>
</tr>
</tbody>
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</section>
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<h3>Method Summary</h3>
<div class="memberSummary">
<div role="tablist" aria-orientation="horizontal"><button role="tab" aria-selected="true" aria-controls="memberSummary_tabpanel" tabindex="0" onkeydown="switchTab(event)" id="t0" class="activeTableTab">All Methods</button><button role="tab" aria-selected="false" aria-controls="memberSummary_tabpanel" tabindex="-1" onkeydown="switchTab(event)" id="t1" class="tableTab" onclick="show(1);">Static Methods</button><button role="tab" aria-selected="false" aria-controls="memberSummary_tabpanel" tabindex="-1" onkeydown="switchTab(event)" id="t4" class="tableTab" onclick="show(8);">Concrete Methods</button></div>
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<table aria-labelledby="t0">
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colSecond" scope="col">Method</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor" id="i0">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#abs(double)">abs</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the absolute value of a <code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i1">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#abs(float)">abs</a></span>​(float a)</code></th>
<td class="colLast">
<div class="block">Returns the absolute value of a <code>float</code> value.</div>
</td>
</tr>
<tr class="altColor" id="i2">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#abs(int)">abs</a></span>​(int a)</code></th>
<td class="colLast">
<div class="block">Returns the absolute value of an <code>int</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i3">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#abs(long)">abs</a></span>​(long a)</code></th>
<td class="colLast">
<div class="block">Returns the absolute value of a <code>long</code> value.</div>
</td>
</tr>
<tr class="altColor" id="i4">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#acos(double)">acos</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the arc cosine of a value; the returned angle is in the
range 0.0 through <i>pi</i>.</div>
</td>
</tr>
<tr class="rowColor" id="i5">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#addExact(int,int)">addExact</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the sum of its arguments,
throwing an exception if the result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="altColor" id="i6">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#addExact(long,long)">addExact</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns the sum of its arguments,
throwing an exception if the result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i7">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#asin(double)">asin</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the arc sine of a value; the returned angle is in the
range -<i>pi</i>/2 through <i>pi</i>/2.</div>
</td>
</tr>
<tr class="altColor" id="i8">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#atan(double)">atan</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the arc tangent of a value; the returned angle is in the
range -<i>pi</i>/2 through <i>pi</i>/2.</div>
</td>
</tr>
<tr class="rowColor" id="i9">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#atan2(double,double)">atan2</a></span>​(double y,
double x)</code></th>
<td class="colLast">
<div class="block">Returns the angle <i>theta</i> from the conversion of rectangular
coordinates (<code>x</code>, <code>y</code>) to polar
coordinates (r, <i>theta</i>).</div>
</td>
</tr>
<tr class="altColor" id="i10">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#cbrt(double)">cbrt</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the cube root of a <code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i11">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#ceil(double)">ceil</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the smallest (closest to negative infinity)
<code>double</code> value that is greater than or equal to the
argument and is equal to a mathematical integer.</div>
</td>
</tr>
<tr class="altColor" id="i12">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#copySign(double,double)">copySign</a></span>​(double magnitude,
double sign)</code></th>
<td class="colLast">
<div class="block">Returns the first floating-point argument with the sign of the
second floating-point argument.</div>
</td>
</tr>
<tr class="rowColor" id="i13">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#copySign(float,float)">copySign</a></span>​(float magnitude,
float sign)</code></th>
<td class="colLast">
<div class="block">Returns the first floating-point argument with the sign of the
second floating-point argument.</div>
</td>
</tr>
<tr class="altColor" id="i14">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#cos(double)">cos</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the trigonometric cosine of an angle.</div>
</td>
</tr>
<tr class="rowColor" id="i15">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#cosh(double)">cosh</a></span>​(double x)</code></th>
<td class="colLast">
<div class="block">Returns the hyperbolic cosine of a <code>double</code> value.</div>
</td>
</tr>
<tr class="altColor" id="i16">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#decrementExact(int)">decrementExact</a></span>​(int a)</code></th>
<td class="colLast">
<div class="block">Returns the argument decremented by one, throwing an exception if the
result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i17">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#decrementExact(long)">decrementExact</a></span>​(long a)</code></th>
<td class="colLast">
<div class="block">Returns the argument decremented by one, throwing an exception if the
result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="altColor" id="i18">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#exp(double)">exp</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns Euler's number <i>e</i> raised to the power of a
<code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i19">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#expm1(double)">expm1</a></span>​(double x)</code></th>
<td class="colLast">
<div class="block">Returns <i>e</i><sup>x</sup> -1.</div>
</td>
</tr>
<tr class="altColor" id="i20">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floor(double)">floor</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the largest (closest to positive infinity)
<code>double</code> value that is less than or equal to the
argument and is equal to a mathematical integer.</div>
</td>
</tr>
<tr class="rowColor" id="i21">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorDiv(int,int)">floorDiv</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the largest (closest to positive infinity)
<code>int</code> value that is less than or equal to the algebraic quotient.</div>
</td>
</tr>
<tr class="altColor" id="i22">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorDiv(long,int)">floorDiv</a></span>​(long x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the largest (closest to positive infinity)
<code>long</code> value that is less than or equal to the algebraic quotient.</div>
</td>
</tr>
<tr class="rowColor" id="i23">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorDiv(long,long)">floorDiv</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns the largest (closest to positive infinity)
<code>long</code> value that is less than or equal to the algebraic quotient.</div>
</td>
</tr>
<tr class="altColor" id="i24">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorMod(int,int)">floorMod</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the floor modulus of the <code>int</code> arguments.</div>
</td>
</tr>
<tr class="rowColor" id="i25">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorMod(long,int)">floorMod</a></span>​(long x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the floor modulus of the <code>long</code> and <code>int</code> arguments.</div>
</td>
</tr>
<tr class="altColor" id="i26">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#floorMod(long,long)">floorMod</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns the floor modulus of the <code>long</code> arguments.</div>
</td>
</tr>
<tr class="rowColor" id="i27">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#fma(double,double,double)">fma</a></span>​(double a,
double b,
double c)</code></th>
<td class="colLast">
<div class="block">Returns the fused multiply add of the three arguments; that is,
returns the exact product of the first two arguments summed
with the third argument and then rounded once to the nearest
<code>double</code>.</div>
</td>
</tr>
<tr class="altColor" id="i28">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#fma(float,float,float)">fma</a></span>​(float a,
float b,
float c)</code></th>
<td class="colLast">
<div class="block">Returns the fused multiply add of the three arguments; that is,
returns the exact product of the first two arguments summed
with the third argument and then rounded once to the nearest
<code>float</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i29">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getExponent(double)">getExponent</a></span>​(double d)</code></th>
<td class="colLast">
<div class="block">Returns the unbiased exponent used in the representation of a
<code>double</code>.</div>
</td>
</tr>
<tr class="altColor" id="i30">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#getExponent(float)">getExponent</a></span>​(float f)</code></th>
<td class="colLast">
<div class="block">Returns the unbiased exponent used in the representation of a
<code>float</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i31">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#hypot(double,double)">hypot</a></span>​(double x,
double y)</code></th>
<td class="colLast">
<div class="block">Returns sqrt(<i>x</i><sup>2</sup> +<i>y</i><sup>2</sup>)
without intermediate overflow or underflow.</div>
</td>
</tr>
<tr class="altColor" id="i32">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#IEEEremainder(double,double)">IEEEremainder</a></span>​(double f1,
double f2)</code></th>
<td class="colLast">
<div class="block">Computes the remainder operation on two arguments as prescribed
by the IEEE 754 standard.</div>
</td>
</tr>
<tr class="rowColor" id="i33">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#incrementExact(int)">incrementExact</a></span>​(int a)</code></th>
<td class="colLast">
<div class="block">Returns the argument incremented by one, throwing an exception if the
result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="altColor" id="i34">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#incrementExact(long)">incrementExact</a></span>​(long a)</code></th>
<td class="colLast">
<div class="block">Returns the argument incremented by one, throwing an exception if the
result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i35">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#log(double)">log</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the natural logarithm (base <i>e</i>) of a <code>double</code>
value.</div>
</td>
</tr>
<tr class="altColor" id="i36">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#log10(double)">log10</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the base 10 logarithm of a <code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i37">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#log1p(double)">log1p</a></span>​(double x)</code></th>
<td class="colLast">
<div class="block">Returns the natural logarithm of the sum of the argument and 1.</div>
</td>
</tr>
<tr class="altColor" id="i38">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#max(double,double)">max</a></span>​(double a,
double b)</code></th>
<td class="colLast">
<div class="block">Returns the greater of two <code>double</code> values.</div>
</td>
</tr>
<tr class="rowColor" id="i39">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#max(float,float)">max</a></span>​(float a,
float b)</code></th>
<td class="colLast">
<div class="block">Returns the greater of two <code>float</code> values.</div>
</td>
</tr>
<tr class="altColor" id="i40">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#max(int,int)">max</a></span>​(int a,
int b)</code></th>
<td class="colLast">
<div class="block">Returns the greater of two <code>int</code> values.</div>
</td>
</tr>
<tr class="rowColor" id="i41">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#max(long,long)">max</a></span>​(long a,
long b)</code></th>
<td class="colLast">
<div class="block">Returns the greater of two <code>long</code> values.</div>
</td>
</tr>
<tr class="altColor" id="i42">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min(double,double)">min</a></span>​(double a,
double b)</code></th>
<td class="colLast">
<div class="block">Returns the smaller of two <code>double</code> values.</div>
</td>
</tr>
<tr class="rowColor" id="i43">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min(float,float)">min</a></span>​(float a,
float b)</code></th>
<td class="colLast">
<div class="block">Returns the smaller of two <code>float</code> values.</div>
</td>
</tr>
<tr class="altColor" id="i44">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min(int,int)">min</a></span>​(int a,
int b)</code></th>
<td class="colLast">
<div class="block">Returns the smaller of two <code>int</code> values.</div>
</td>
</tr>
<tr class="rowColor" id="i45">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#min(long,long)">min</a></span>​(long a,
long b)</code></th>
<td class="colLast">
<div class="block">Returns the smaller of two <code>long</code> values.</div>
</td>
</tr>
<tr class="altColor" id="i46">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#multiplyExact(int,int)">multiplyExact</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the product of the arguments,
throwing an exception if the result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i47">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#multiplyExact(long,int)">multiplyExact</a></span>​(long x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the product of the arguments, throwing an exception if the result
overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="altColor" id="i48">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#multiplyExact(long,long)">multiplyExact</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns the product of the arguments,
throwing an exception if the result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i49">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#multiplyFull(int,int)">multiplyFull</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the exact mathematical product of the arguments.</div>
</td>
</tr>
<tr class="altColor" id="i50">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#multiplyHigh(long,long)">multiplyHigh</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns as a <code>long</code> the most significant 64 bits of the 128-bit
product of two 64-bit factors.</div>
</td>
</tr>
<tr class="rowColor" id="i51">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#negateExact(int)">negateExact</a></span>​(int a)</code></th>
<td class="colLast">
<div class="block">Returns the negation of the argument, throwing an exception if the
result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="altColor" id="i52">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#negateExact(long)">negateExact</a></span>​(long a)</code></th>
<td class="colLast">
<div class="block">Returns the negation of the argument, throwing an exception if the
result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i53">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextAfter(double,double)">nextAfter</a></span>​(double start,
double direction)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point number adjacent to the first
argument in the direction of the second argument.</div>
</td>
</tr>
<tr class="altColor" id="i54">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextAfter(float,double)">nextAfter</a></span>​(float start,
double direction)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point number adjacent to the first
argument in the direction of the second argument.</div>
</td>
</tr>
<tr class="rowColor" id="i55">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextDown(double)">nextDown</a></span>​(double d)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point value adjacent to <code>d</code> in
the direction of negative infinity.</div>
</td>
</tr>
<tr class="altColor" id="i56">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextDown(float)">nextDown</a></span>​(float f)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point value adjacent to <code>f</code> in
the direction of negative infinity.</div>
</td>
</tr>
<tr class="rowColor" id="i57">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextUp(double)">nextUp</a></span>​(double d)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point value adjacent to <code>d</code> in
the direction of positive infinity.</div>
</td>
</tr>
<tr class="altColor" id="i58">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#nextUp(float)">nextUp</a></span>​(float f)</code></th>
<td class="colLast">
<div class="block">Returns the floating-point value adjacent to <code>f</code> in
the direction of positive infinity.</div>
</td>
</tr>
<tr class="rowColor" id="i59">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#pow(double,double)">pow</a></span>​(double a,
double b)</code></th>
<td class="colLast">
<div class="block">Returns the value of the first argument raised to the power of the
second argument.</div>
</td>
</tr>
<tr class="altColor" id="i60">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#random()">random</a></span>()</code></th>
<td class="colLast">
<div class="block">Returns a <code>double</code> value with a positive sign, greater
than or equal to <code>0.0</code> and less than <code>1.0</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i61">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#rint(double)">rint</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the <code>double</code> value that is closest in value
to the argument and is equal to a mathematical integer.</div>
</td>
</tr>
<tr class="altColor" id="i62">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#round(double)">round</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the closest <code>long</code> to the argument, with ties
rounding to positive infinity.</div>
</td>
</tr>
<tr class="rowColor" id="i63">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#round(float)">round</a></span>​(float a)</code></th>
<td class="colLast">
<div class="block">Returns the closest <code>int</code> to the argument, with ties
rounding to positive infinity.</div>
</td>
</tr>
<tr class="altColor" id="i64">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#scalb(double,int)">scalb</a></span>​(double d,
int scaleFactor)</code></th>
<td class="colLast">
<div class="block">Returns <code>d</code> ×
2<sup><code>scaleFactor</code></sup> rounded as if performed
by a single correctly rounded floating-point multiply to a
member of the double value set.</div>
</td>
</tr>
<tr class="rowColor" id="i65">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#scalb(float,int)">scalb</a></span>​(float f,
int scaleFactor)</code></th>
<td class="colLast">
<div class="block">Returns <code>f</code> ×
2<sup><code>scaleFactor</code></sup> rounded as if performed
by a single correctly rounded floating-point multiply to a
member of the float value set.</div>
</td>
</tr>
<tr class="altColor" id="i66">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#signum(double)">signum</a></span>​(double d)</code></th>
<td class="colLast">
<div class="block">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.</div>
</td>
</tr>
<tr class="rowColor" id="i67">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#signum(float)">signum</a></span>​(float f)</code></th>
<td class="colLast">
<div class="block">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.</div>
</td>
</tr>
<tr class="altColor" id="i68">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#sin(double)">sin</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the trigonometric sine of an angle.</div>
</td>
</tr>
<tr class="rowColor" id="i69">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#sinh(double)">sinh</a></span>​(double x)</code></th>
<td class="colLast">
<div class="block">Returns the hyperbolic sine of a <code>double</code> value.</div>
</td>
</tr>
<tr class="altColor" id="i70">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#sqrt(double)">sqrt</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the correctly rounded positive square root of a
<code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i71">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#subtractExact(int,int)">subtractExact</a></span>​(int x,
int y)</code></th>
<td class="colLast">
<div class="block">Returns the difference of the arguments,
throwing an exception if the result overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="altColor" id="i72">
<td class="colFirst"><code>static long</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#subtractExact(long,long)">subtractExact</a></span>​(long x,
long y)</code></th>
<td class="colLast">
<div class="block">Returns the difference of the arguments,
throwing an exception if the result overflows a <code>long</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i73">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#tan(double)">tan</a></span>​(double a)</code></th>
<td class="colLast">
<div class="block">Returns the trigonometric tangent of an angle.</div>
</td>
</tr>
<tr class="altColor" id="i74">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#tanh(double)">tanh</a></span>​(double x)</code></th>
<td class="colLast">
<div class="block">Returns the hyperbolic tangent of a <code>double</code> value.</div>
</td>
</tr>
<tr class="rowColor" id="i75">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#toDegrees(double)">toDegrees</a></span>​(double angrad)</code></th>
<td class="colLast">
<div class="block">Converts an angle measured in radians to an approximately
equivalent angle measured in degrees.</div>
</td>
</tr>
<tr class="altColor" id="i76">
<td class="colFirst"><code>static int</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#toIntExact(long)">toIntExact</a></span>​(long value)</code></th>
<td class="colLast">
<div class="block">Returns the value of the <code>long</code> argument;
throwing an exception if the value overflows an <code>int</code>.</div>
</td>
</tr>
<tr class="rowColor" id="i77">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#toRadians(double)">toRadians</a></span>​(double angdeg)</code></th>
<td class="colLast">
<div class="block">Converts an angle measured in degrees to an approximately
equivalent angle measured in radians.</div>
</td>
</tr>
<tr class="altColor" id="i78">
<td class="colFirst"><code>static double</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#ulp(double)">ulp</a></span>​(double d)</code></th>
<td class="colLast">
<div class="block">Returns the size of an ulp of the argument.</div>
</td>
</tr>
<tr class="rowColor" id="i79">
<td class="colFirst"><code>static float</code></td>
<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="#ulp(float)">ulp</a></span>​(float f)</code></th>
<td class="colLast">
<div class="block">Returns the size of an ulp of the argument.</div>
</td>
</tr>
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