/*
- * Copyright (c) 1999, 2013, Oracle and/or its affiliates. All rights reserved.
+ * Copyright (c) 1999, 2016, Oracle and/or its affiliates. All rights reserved.
  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
  *
  * This code is free software; you can redistribute it and/or modify it
  * under the terms of the GNU General Public License version 2 only, as
  * published by the Free Software Foundation.  Oracle designates this
  * particular file as subject to the "Classpath" exception as provided
  * by Oracle in the LICENSE file that accompanied this code.
  *
  * This code is distributed in the hope that it will be useful, but WITHOUT
  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  * version 2 for more details (a copy is included in the LICENSE file that
  * accompanied this code).
  *
  * You should have received a copy of the GNU General Public License version
  * 2 along with this work; if not, write to the Free Software Foundation,
  * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
  *
  * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
  * or visit www.oracle.com if you need additional information or have any
  * questions.
  */
 
 package java.lang;
+
 import java.util.Random;
-import sun.misc.DoubleConsts;
+import jdk.internal.math.DoubleConsts;
+import jdk.internal.HotSpotIntrinsicCandidate;
 
 /**
  * The class {@code StrictMath} contains methods for performing basic
  * numeric operations such as the elementary exponential, logarithm,
  * square root, and trigonometric functions.
  *
  * <p>To help ensure portability of Java programs, the definitions of
  * some of the numeric functions in this package require that they
  * produce the same results as certain published algorithms. These
  * algorithms are available from the well-known network library
  * {@code netlib} as the package "Freely Distributable Math
  * Library," <a
- * href="ftp://ftp.netlib.org/fdlibm.tar">{@code fdlibm}</a>. These
+ * href="https://www.netlib.org/fdlibm/">{@code fdlibm}</a>. These
  * algorithms, which are written in the C programming language, are
  * then to be understood as executed with all floating-point
  * operations following the rules of Java floating-point arithmetic.
  *
  * <p>The Java math library is defined with respect to
  * {@code fdlibm} version 5.3. Where {@code fdlibm} provides
  * more than one definition for a function (such as
  * {@code acos}), use the "IEEE 754 core function" version
  * (residing in a file whose name begins with the letter
  * {@code e}).  The methods which require {@code fdlibm}
  * semantics are {@code sin}, {@code cos}, {@code tan},
  * {@code asin}, {@code acos}, {@code atan},
  * {@code exp}, {@code log}, {@code log10},
  * {@code cbrt}, {@code atan2}, {@code pow},
  * {@code sinh}, {@code cosh}, {@code tanh},
  * {@code hypot}, {@code expm1}, and {@code log1p}.
  *
  * <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} or {@code long} and
  * overflow errors need to be detected, the methods {@code addExact},
  * {@code subtractExact}, {@code multiplyExact}, and {@code toIntExact}
  * throw an {@code ArithmeticException} when the results overflow.
  * For other arithmetic operations such as divide, absolute value,
- * increment, decrement, and negation overflow occurs only with
+ * 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.
  *
  * @author  unascribed
  * @author  Joseph D. Darcy
  * @since   1.3
  */
 
 public final class StrictMath {
 
     /**
      * Don't let anyone instantiate this class.
      */
     private StrictMath() {}
 
     /**
      * The {@code double} value that is closer than any other to
      * <i>e</i>, the base of the natural logarithms.
      */
     public static final double E = 2.7182818284590452354;
 
     /**
      * The {@code double} value that is closer than any other to
      * <i>pi</i>, the ratio of the circumference of a circle to its
      * diameter.
      */
     public static final double PI = 3.14159265358979323846;
 
     /**
+     * Constant by which to multiply an angular value in degrees to obtain an
+     * angular value in radians.
+     */
+    private static final double DEGREES_TO_RADIANS = 0.017453292519943295;
+
+    /**
+     * Constant by which to multiply an angular value in radians to obtain an
+     * angular value in degrees.
+     */
+
+    private static final double RADIANS_TO_DEGREES = 57.29577951308232;
+
+    /**
      * Returns the trigonometric sine of an angle. Special cases:
      * <ul><li>If the argument is NaN or an infinity, then the
      * result is NaN.
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.</ul>
      *
      * @param   a   an angle, in radians.
      * @return  the sine of the argument.
      */
     public static native double sin(double a);
 
     /**
      * Returns the trigonometric cosine of an angle. Special cases:
      * <ul><li>If the argument is NaN or an infinity, then the
      * result is NaN.</ul>
      *
      * @param   a   an angle, in radians.
      * @return  the cosine of the argument.
      */
     public static native double cos(double a);
 
     /**
      * Returns the trigonometric tangent of an angle. Special cases:
      * <ul><li>If the argument is NaN or an infinity, then the result
      * is NaN.
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.</ul>
      *
      * @param   a   an angle, in radians.
      * @return  the tangent of the argument.
      */
     public static native double tan(double a);
 
     /**
      * Returns the arc sine of a value; the returned angle is in the
      * range -<i>pi</i>/2 through <i>pi</i>/2.  Special cases:
      * <ul><li>If the argument is NaN or its absolute value is greater
      * than 1, then the result is NaN.
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.</ul>
      *
      * @param   a   the value whose arc sine is to be returned.
      * @return  the arc sine of the argument.
      */
     public static native double asin(double a);
 
     /**
      * Returns the arc cosine of a value; the returned angle is in the
      * range 0.0 through <i>pi</i>.  Special case:
      * <ul><li>If the argument is NaN or its absolute value is greater
      * than 1, then the result is NaN.</ul>
      *
      * @param   a   the value whose arc cosine is to be returned.
      * @return  the arc cosine of the argument.
      */
     public static native double acos(double a);
 
     /**
      * Returns the arc tangent of a value; the returned angle is in the
      * range -<i>pi</i>/2 through <i>pi</i>/2.  Special cases:
      * <ul><li>If the argument is NaN, then the result is NaN.
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.</ul>
      *
      * @param   a   the value whose arc tangent is to be returned.
      * @return  the arc tangent of the argument.
      */
     public static native double atan(double a);
 
     /**
      * Converts an angle measured in degrees to an approximately
      * equivalent angle measured in radians.  The conversion from
      * degrees to radians is generally inexact.
      *
      * @param   angdeg   an angle, in degrees
      * @return  the measurement of the angle {@code angdeg}
      *          in radians.
      */
     public static strictfp double toRadians(double angdeg) {
         // Do not delegate to Math.toRadians(angdeg) because
         // this method has the strictfp modifier.
-        return angdeg / 180.0 * PI;
+        return angdeg * DEGREES_TO_RADIANS;
     }
 
     /**
      * Converts an angle measured in radians to an approximately
      * equivalent angle measured in degrees.  The conversion from
      * radians to degrees is generally inexact; users should
      * <i>not</i> expect {@code cos(toRadians(90.0))} to exactly
      * equal {@code 0.0}.
      *
      * @param   angrad   an angle, in radians
      * @return  the measurement of the angle {@code angrad}
      *          in degrees.
      */
     public static strictfp double toDegrees(double angrad) {
         // Do not delegate to Math.toDegrees(angrad) because
         // this method has the strictfp modifier.
-        return angrad * 180.0 / PI;
+        return angrad * RADIANS_TO_DEGREES;
     }
 
     /**
      * Returns Euler's number <i>e</i> raised to the power of a
      * {@code double} value. Special cases:
      * <ul><li>If the argument is NaN, the result is NaN.
      * <li>If the argument is positive infinity, then the result is
      * positive infinity.
      * <li>If the argument is negative infinity, then the result is
      * positive zero.</ul>
      *
      * @param   a   the exponent to raise <i>e</i> to.
      * @return  the value <i>e</i><sup>{@code a}</sup>,
      *          where <i>e</i> is the base of the natural logarithms.
      */
-    public static native double exp(double a);
+    public static double exp(double a) {
+        return FdLibm.Exp.compute(a);
+    }
 
     /**
      * Returns the natural logarithm (base <i>e</i>) of a {@code double}
      * value. Special cases:
      * <ul><li>If the argument is NaN or less than zero, then the result
      * is NaN.
      * <li>If the argument is positive infinity, then the result is
      * positive infinity.
      * <li>If the argument is positive zero or negative zero, then the
      * result is negative infinity.</ul>
      *
      * @param   a   a value
      * @return  the value ln&nbsp;{@code a}, the natural logarithm of
      *          {@code a}.
      */
     public static native double log(double a);
 
-
     /**
      * Returns the base 10 logarithm of a {@code double} value.
      * Special cases:
      *
      * <ul><li>If the argument is NaN or less than zero, then the result
      * is NaN.
      * <li>If the argument is positive infinity, then the result is
      * positive infinity.
      * <li>If the argument is positive zero or negative zero, then the
      * result is negative infinity.
      * <li> If the argument is equal to 10<sup><i>n</i></sup> for
      * integer <i>n</i>, then the result is <i>n</i>.
      * </ul>
      *
      * @param   a   a value
      * @return  the base 10 logarithm of  {@code a}.
      * @since 1.5
      */
     public static native double log10(double a);
 
     /**
      * Returns the correctly rounded positive square root of a
      * {@code double} value.
      * Special cases:
      * <ul><li>If the argument is NaN or less than zero, then the result
      * is NaN.
      * <li>If the argument is positive infinity, then the result is positive
      * infinity.
      * <li>If the argument is positive zero or negative zero, then the
      * result is the same as the argument.</ul>
      * Otherwise, the result is the {@code double} value closest to
      * the true mathematical square root of the argument value.
      *
      * @param   a   a value.
      * @return  the positive square root of {@code a}.
      */
+    @HotSpotIntrinsicCandidate
     public static native double sqrt(double a);
 
     /**
      * Returns the cube root of a {@code double} value.  For
      * positive finite {@code x}, {@code cbrt(-x) ==
      * -cbrt(x)}; that is, the cube root of a negative value is
      * the negative of the cube root of that value's magnitude.
      * Special cases:
      *
      * <ul>
      *
      * <li>If the argument is NaN, then the result is NaN.
      *
      * <li>If the argument is infinite, then the result is an infinity
      * with the same sign as the argument.
      *
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.
      *
      * </ul>
      *
      * @param   a   a value.
      * @return  the cube root of {@code a}.
      * @since 1.5
      */
-    public static native double cbrt(double a);
+    public static double cbrt(double a) {
+        return FdLibm.Cbrt.compute(a);
+    }
 
     /**
      * Computes the remainder operation on two arguments as prescribed
      * by the IEEE 754 standard.
      * The remainder value is mathematically equal to
      * <code>f1&nbsp;-&nbsp;f2</code>&nbsp;&times;&nbsp;<i>n</i>,
      * where <i>n</i> is the mathematical integer closest to the exact
      * mathematical value of the quotient {@code f1/f2}, and if two
      * mathematical integers are equally close to {@code f1/f2},
      * then <i>n</i> is the integer that is even. If the remainder is
      * zero, its sign is the same as the sign of the first argument.
      * Special cases:
      * <ul><li>If either argument is NaN, or the first argument is infinite,
      * or the second argument is positive zero or negative zero, then the
      * result is NaN.
      * <li>If the first argument is finite and the second argument is
      * infinite, then the result is the same as the first argument.</ul>
      *
      * @param   f1   the dividend.
      * @param   f2   the divisor.
      * @return  the remainder when {@code f1} is divided by
      *          {@code f2}.
      */
     public static native double IEEEremainder(double f1, double f2);
 
     /**
      * Returns the smallest (closest to negative infinity)
      * {@code double} value that is greater than or equal to the
      * argument and is equal to a mathematical integer. Special cases:
      * <ul><li>If the argument value is already equal to a
      * mathematical integer, then the result is the same as the
      * argument.  <li>If the argument is NaN or an infinity or
      * positive zero or negative zero, then the result is the same as
      * the argument.  <li>If the argument value is less than zero but
      * greater than -1.0, then the result is negative zero.</ul> Note
      * that the value of {@code StrictMath.ceil(x)} is exactly the
      * value of {@code -StrictMath.floor(-x)}.
      *
      * @param   a   a value.
      * @return  the smallest (closest to negative infinity)
      *          floating-point value that is greater than or equal to
      *          the argument and is equal to a mathematical integer.
      */
     public static double ceil(double a) {
         return floorOrCeil(a, -0.0, 1.0, 1.0);
     }
 
     /**
      * Returns the largest (closest to positive infinity)
      * {@code double} value that is less than or equal to the
      * argument and is equal to a mathematical integer. Special cases:
      * <ul><li>If the argument value is already equal to a
      * mathematical integer, then the result is the same as the
      * argument.  <li>If the argument is NaN or an infinity or
      * positive zero or negative zero, then the result is the same as
      * the argument.</ul>
      *
      * @param   a   a value.
      * @return  the largest (closest to positive infinity)
      *          floating-point value that less than or equal to the argument
      *          and is equal to a mathematical integer.
      */
     public static double floor(double a) {
         return floorOrCeil(a, -1.0, 0.0, -1.0);
     }
 
     /**
      * Internal method to share logic between floor and ceil.
      *
      * @param a the value to be floored or ceiled
      * @param negativeBoundary result for values in (-1, 0)
      * @param positiveBoundary result for values in (0, 1)
      * @param increment value to add when the argument is non-integral
      */
     private static double floorOrCeil(double a,
                                       double negativeBoundary,
                                       double positiveBoundary,
                                       double sign) {
         int exponent = Math.getExponent(a);
 
         if (exponent < 0) {
             /*
              * Absolute value of argument is less than 1.
              * floorOrceil(-0.0) => -0.0
              * floorOrceil(+0.0) => +0.0
              */
             return ((a == 0.0) ? a :
                     ( (a < 0.0) ?  negativeBoundary : positiveBoundary) );
         } else if (exponent >= 52) {
             /*
              * Infinity, NaN, or a value so large it must be integral.
              */
             return a;
         }
         // Else the argument is either an integral value already XOR it
         // has to be rounded to one.
         assert exponent >= 0 && exponent <= 51;
 
         long doppel = Double.doubleToRawLongBits(a);
         long mask   = DoubleConsts.SIGNIF_BIT_MASK >> exponent;
 
         if ( (mask & doppel) == 0L )
             return a; // integral value
         else {
             double result = Double.longBitsToDouble(doppel & (~mask));
             if (sign*a > 0.0)
                 result = result + sign;
             return result;
         }
     }
 
     /**
      * Returns the {@code double} value that is closest in value
      * to the argument and is equal to a mathematical integer. If two
      * {@code double} values that are mathematical integers are
      * equally close to the value of the argument, the result is the
      * integer value that is even. Special cases:
      * <ul><li>If the argument value is already equal to a mathematical
      * integer, then the result is the same as the argument.
      * <li>If the argument is NaN or an infinity or positive zero or negative
      * zero, then the result is the same as the argument.</ul>
      *
      * @param   a   a value.
      * @return  the closest floating-point value to {@code a} that is
      *          equal to a mathematical integer.
      * @author Joseph D. Darcy
      */
     public static double rint(double a) {
         /*
          * If the absolute value of a is not less than 2^52, it
          * is either a finite integer (the double format does not have
          * enough significand bits for a number that large to have any
          * fractional portion), an infinity, or a NaN.  In any of
          * these cases, rint of the argument is the argument.
          *
          * Otherwise, the sum (twoToThe52 + a ) will properly round
          * away any fractional portion of a since ulp(twoToThe52) ==
          * 1.0; subtracting out twoToThe52 from this sum will then be
          * exact and leave the rounded integer portion of a.
          *
          * This method does *not* need to be declared strictfp to get
          * fully reproducible results.  Whether or not a method is
          * declared strictfp can only make a difference in the
          * returned result if some operation would overflow or
          * underflow with strictfp semantics.  The operation
          * (twoToThe52 + a ) cannot overflow since large values of a
          * are screened out; the add cannot underflow since twoToThe52
          * is too large.  The subtraction ((twoToThe52 + a ) -
          * twoToThe52) will be exact as discussed above and thus
          * cannot overflow or meaningfully underflow.  Finally, the
          * last multiply in the return statement is by plus or minus
          * 1.0, which is exact too.
          */
         double twoToThe52 = (double)(1L << 52); // 2^52
         double sign = Math.copySign(1.0, a); // preserve sign info
         a = Math.abs(a);
 
         if (a < twoToThe52) { // E_min <= ilogb(a) <= 51
             a = ((twoToThe52 + a ) - twoToThe52);
         }
 
         return sign * a; // restore original sign
     }
 
     /**
      * Returns the angle <i>theta</i> from the conversion of rectangular
      * coordinates ({@code x},&nbsp;{@code y}) to polar
      * coordinates (r,&nbsp;<i>theta</i>).
      * This method computes the phase <i>theta</i> by computing an arc tangent
      * of {@code y/x} in the range of -<i>pi</i> to <i>pi</i>. Special
      * cases:
      * <ul><li>If either argument is NaN, then the result is NaN.
      * <li>If the first argument is positive zero and the second argument
      * is positive, or the first argument is positive and finite and the
      * second argument is positive infinity, then the result is positive
      * zero.
      * <li>If the first argument is negative zero and the second argument
      * is positive, or the first argument is negative and finite and the
      * second argument is positive infinity, then the result is negative zero.
      * <li>If the first argument is positive zero and the second argument
      * is negative, or the first argument is positive and finite and the
      * second argument is negative infinity, then the result is the
      * {@code double} value closest to <i>pi</i>.
      * <li>If the first argument is negative zero and the second argument
      * is negative, or the first argument is negative and finite and the
      * second argument is negative infinity, then the result is the
      * {@code double} value closest to -<i>pi</i>.
      * <li>If the first argument is positive and the second argument is
      * positive zero or negative zero, or the first argument is positive
      * infinity and the second argument is finite, then the result is the
      * {@code double} value closest to <i>pi</i>/2.
      * <li>If the first argument is negative and the second argument is
      * positive zero or negative zero, or the first argument is negative
      * infinity and the second argument is finite, then the result is the
      * {@code double} value closest to -<i>pi</i>/2.
      * <li>If both arguments are positive infinity, then the result is the
      * {@code double} value closest to <i>pi</i>/4.
      * <li>If the first argument is positive infinity and the second argument
      * is negative infinity, then the result is the {@code double}
      * value closest to 3*<i>pi</i>/4.
      * <li>If the first argument is negative infinity and the second argument
      * is positive infinity, then the result is the {@code double} value
      * closest to -<i>pi</i>/4.
      * <li>If both arguments are negative infinity, then the result is the
      * {@code double} value closest to -3*<i>pi</i>/4.</ul>
      *
      * @param   y   the ordinate coordinate
      * @param   x   the abscissa coordinate
      * @return  the <i>theta</i> component of the point
      *          (<i>r</i>,&nbsp;<i>theta</i>)
      *          in polar coordinates that corresponds to the point
      *          (<i>x</i>,&nbsp;<i>y</i>) in Cartesian coordinates.
      */
     public static native double atan2(double y, double x);
 
-
     /**
      * Returns the value of the first argument raised to the power of the
      * second argument. Special cases:
      *
      * <ul><li>If the second argument is positive or negative zero, then the
      * result is 1.0.
      * <li>If the second argument is 1.0, then the result is the same as the
      * first argument.
      * <li>If the second argument is NaN, then the result is NaN.
      * <li>If the first argument is NaN and the second argument is nonzero,
      * then the result is NaN.
      *
      * <li>If
      * <ul>
      * <li>the absolute value of the first argument is greater than 1
      * and the second argument is positive infinity, or
      * <li>the absolute value of the first argument is less than 1 and
      * the second argument is negative infinity,
      * </ul>
      * then the result is positive infinity.
      *
      * <li>If
      * <ul>
      * <li>the absolute value of the first argument is greater than 1 and
      * the second argument is negative infinity, or
      * <li>the absolute value of the
      * first argument is less than 1 and the second argument is positive
      * infinity,
      * </ul>
      * then the result is positive zero.
      *
      * <li>If the absolute value of the first argument equals 1 and the
      * second argument is infinite, then the result is NaN.
      *
      * <li>If
      * <ul>
      * <li>the first argument is positive zero and the second argument
      * is greater than zero, or
      * <li>the first argument is positive infinity and the second
      * argument is less than zero,
      * </ul>
      * then the result is positive zero.
      *
      * <li>If
      * <ul>
      * <li>the first argument is positive zero and the second argument
      * is less than zero, or
      * <li>the first argument is positive infinity and the second
      * argument is greater than zero,
      * </ul>
      * then the result is positive infinity.
      *
      * <li>If
      * <ul>
      * <li>the first argument is negative zero and the second argument
      * is greater than zero but not a finite odd integer, or
      * <li>the first argument is negative infinity and the second
      * argument is less than zero but not a finite odd integer,
      * </ul>
      * then the result is positive zero.
      *
      * <li>If
      * <ul>
      * <li>the first argument is negative zero and the second argument
      * is a positive finite odd integer, or
      * <li>the first argument is negative infinity and the second
      * argument is a negative finite odd integer,
      * </ul>
      * then the result is negative zero.
      *
      * <li>If
      * <ul>
      * <li>the first argument is negative zero and the second argument
      * is less than zero but not a finite odd integer, or
      * <li>the first argument is negative infinity and the second
      * argument is greater than zero but not a finite odd integer,
      * </ul>
      * then the result is positive infinity.
      *
      * <li>If
      * <ul>
      * <li>the first argument is negative zero and the second argument
      * is a negative finite odd integer, or
      * <li>the first argument is negative infinity and the second
      * argument is a positive finite odd integer,
      * </ul>
      * then the result is negative infinity.
      *
      * <li>If the first argument is finite and less than zero
      * <ul>
      * <li> if the second argument is a finite even integer, the
      * result is equal to the result of raising the absolute value of
      * the first argument to the power of the second argument
      *
      * <li>if the second argument is a finite odd integer, the result
      * is equal to the negative of the result of raising the absolute
      * value of the first argument to the power of the second
      * argument
      *
      * <li>if the second argument is finite and not an integer, then
      * the result is NaN.
      * </ul>
      *
      * <li>If both arguments are integers, then the result is exactly equal
      * to the mathematical result of raising the first argument to the power
      * of the second argument if that result can in fact be represented
      * exactly as a {@code double} value.</ul>
      *
      * <p>(In the foregoing descriptions, a floating-point value is
      * considered to be an integer if and only if it is finite and a
      * fixed point of the method {@link #ceil ceil} or,
      * equivalently, a fixed point of the method {@link #floor
      * floor}. A value is a fixed point of a one-argument
      * method if and only if the result of applying the method to the
      * value is equal to the value.)
      *
      * @param   a   base.
      * @param   b   the exponent.
      * @return  the value {@code a}<sup>{@code b}</sup>.
      */
-    public static native double pow(double a, double b);
+    public static double pow(double a, double b) {
+        return FdLibm.Pow.compute(a, b);
+    }
 
     /**
      * Returns the closest {@code int} to the argument, with ties
      * rounding to positive infinity.
      *
      * <p>Special cases:
      * <ul><li>If the argument is NaN, the result is 0.
      * <li>If the argument is negative infinity or any value less than or
      * equal to the value of {@code Integer.MIN_VALUE}, the result is
      * equal to the value of {@code Integer.MIN_VALUE}.
      * <li>If the argument is positive infinity or any value greater than or
      * equal to the value of {@code Integer.MAX_VALUE}, the result is
      * equal to the value of {@code Integer.MAX_VALUE}.</ul>
      *
      * @param   a   a floating-point value to be rounded to an integer.
      * @return  the value of the argument rounded to the nearest
      *          {@code int} value.
      * @see     java.lang.Integer#MAX_VALUE
      * @see     java.lang.Integer#MIN_VALUE
      */
     public static int round(float a) {
         return Math.round(a);
     }
 
     /**
      * Returns the closest {@code long} to the argument, with ties
      * rounding to positive infinity.
      *
      * <p>Special cases:
      * <ul><li>If the argument is NaN, the result is 0.
      * <li>If the argument is negative infinity or any value less than or
      * equal to the value of {@code Long.MIN_VALUE}, the result is
      * equal to the value of {@code Long.MIN_VALUE}.
      * <li>If the argument is positive infinity or any value greater than or
      * equal to the value of {@code Long.MAX_VALUE}, the result is
      * equal to the value of {@code Long.MAX_VALUE}.</ul>
      *
      * @param   a  a floating-point value to be rounded to a
      *          {@code long}.
      * @return  the value of the argument rounded to the nearest
      *          {@code long} value.
      * @see     java.lang.Long#MAX_VALUE
      * @see     java.lang.Long#MIN_VALUE
      */
     public static long round(double a) {
         return Math.round(a);
     }
 
     private static final class RandomNumberGeneratorHolder {
         static final Random randomNumberGenerator = new Random();
     }
 
     /**
      * Returns a {@code double} value with a positive sign, greater
      * than or equal to {@code 0.0} and less than {@code 1.0}.
      * Returned values are chosen pseudorandomly with (approximately)
      * uniform distribution from that range.
      *
      * <p>When this method is first called, it creates a single new
      * pseudorandom-number generator, exactly as if by the expression
      *
      * <blockquote>{@code new java.util.Random()}</blockquote>
      *
      * This new pseudorandom-number generator is used thereafter for
      * all calls to this method and is used nowhere else.
      *
      * <p>This method is properly synchronized to allow correct use by
      * more than one thread. However, if many threads need to generate
      * pseudorandom numbers at a great rate, it may reduce contention
      * for each thread to have its own pseudorandom-number generator.
      *
      * @return  a pseudorandom {@code double} greater than or equal
      * to {@code 0.0} and less than {@code 1.0}.
      * @see Random#nextDouble()
      */
     public static double random() {
         return RandomNumberGeneratorHolder.randomNumberGenerator.nextDouble();
     }
 
     /**
      * Returns the sum of its arguments,
      * throwing an exception if the result overflows an {@code int}.
      *
      * @param x the first value
      * @param y the second value
      * @return the result
      * @throws ArithmeticException if the result overflows an int
      * @see Math#addExact(int,int)
      * @since 1.8
      */
     public static int addExact(int x, int y) {
         return Math.addExact(x, y);
     }
 
     /**
      * Returns the sum of its arguments,
      * throwing an exception if the result overflows a {@code long}.
      *
      * @param x the first value
      * @param y the second value
      * @return the result
      * @throws ArithmeticException if the result overflows a long
      * @see Math#addExact(long,long)
      * @since 1.8
      */
     public static long addExact(long x, long y) {
         return Math.addExact(x, y);
     }
 
     /**
      * Returns the difference of the arguments,
      * throwing an exception if the result overflows an {@code int}.
      *
      * @param x the first value
      * @param y the second value to subtract from the first
      * @return the result
      * @throws ArithmeticException if the result overflows an int
      * @see Math#subtractExact(int,int)
      * @since 1.8
      */
     public static int subtractExact(int x, int y) {
         return Math.subtractExact(x, y);
     }
 
     /**
      * Returns the difference of the arguments,
      * throwing an exception if the result overflows a {@code long}.
      *
      * @param x the first value
      * @param y the second value to subtract from the first
      * @return the result
      * @throws ArithmeticException if the result overflows a long
      * @see Math#subtractExact(long,long)
      * @since 1.8
      */
     public static long subtractExact(long x, long y) {
         return Math.subtractExact(x, y);
     }
 
     /**
      * Returns the product of the arguments,
      * throwing an exception if the result overflows an {@code int}.
      *
      * @param x the first value
      * @param y the second value
      * @return the result
      * @throws ArithmeticException if the result overflows an int
      * @see Math#multiplyExact(int,int)
      * @since 1.8
      */
     public static int multiplyExact(int x, int y) {
         return Math.multiplyExact(x, y);
     }
 
     /**
+     * Returns the product of the arguments, throwing an exception if the result
+     * overflows a {@code long}.
+     *
+     * @param x the first value
+     * @param y the second value
+     * @return the result
+     * @throws ArithmeticException if the result overflows a long
+     * @see Math#multiplyExact(long,int)
+     * @since 9
+     */
+    public static long multiplyExact(long x, int y) {
+        return Math.multiplyExact(x, y);
+    }
+
+    /**
      * Returns the product of the arguments,
      * throwing an exception if the result overflows a {@code long}.
      *
      * @param x the first value
      * @param y the second value
      * @return the result
      * @throws ArithmeticException if the result overflows a long
      * @see Math#multiplyExact(long,long)
      * @since 1.8
      */
     public static long multiplyExact(long x, long y) {
         return Math.multiplyExact(x, y);
     }
 
     /**
      * Returns the value of the {@code long} argument;
      * throwing an exception if the value overflows an {@code int}.
      *
      * @param value the long value
      * @return the argument as an int
      * @throws ArithmeticException if the {@code argument} overflows an int
      * @see Math#toIntExact(long)
      * @since 1.8
      */
     public static int toIntExact(long value) {
         return Math.toIntExact(value);
     }
 
     /**
+     * Returns the exact mathematical product of the arguments.
+     *
+     * @param x the first value
+     * @param y the second value
+     * @return the result
+     * @see Math#multiplyFull(int,int)
+     * @since 9
+     */
+    public static long multiplyFull(int x, int y) {
+        return Math.multiplyFull(x, y);
+    }
+
+    /**
+     * Returns as a {@code long} the most significant 64 bits of the 128-bit
+     * product of two 64-bit factors.
+     *
+     * @param x the first value
+     * @param y the second value
+     * @return the result
+     * @see Math#multiplyHigh(long,long)
+     * @since 9
+     */
+    public static long multiplyHigh(long x, long y) {
+        return Math.multiplyHigh(x, y);
+    }
+
+    /**
      * Returns the largest (closest to positive infinity)
      * {@code int} value that is less than or equal to the algebraic quotient.
      * There is one special case, if the dividend is the
      * {@linkplain Integer#MIN_VALUE Integer.MIN_VALUE} and the divisor is {@code -1},
      * then integer overflow occurs and
      * the result is equal to the {@code Integer.MIN_VALUE}.
      * <p>
      * See {@link Math#floorDiv(int, int) Math.floorDiv} for examples and
      * a comparison to the integer division {@code /} operator.
      *
      * @param x the dividend
      * @param y the divisor
      * @return the largest (closest to positive infinity)
      * {@code int} value that is less than or equal to the algebraic quotient.
      * @throws ArithmeticException if the divisor {@code y} is zero
      * @see Math#floorDiv(int, int)
      * @see Math#floor(double)
      * @since 1.8
      */
     public static int floorDiv(int x, int y) {
         return Math.floorDiv(x, y);
     }
 
     /**
      * Returns the largest (closest to positive infinity)
      * {@code long} value that is less than or equal to the algebraic quotient.
      * There is one special case, if the dividend is the
      * {@linkplain Long#MIN_VALUE Long.MIN_VALUE} and the divisor is {@code -1},
      * then integer overflow occurs and
+     * the result is equal to {@code Long.MIN_VALUE}.
+     * <p>
+     * See {@link Math#floorDiv(int, int) Math.floorDiv} for examples and
+     * a comparison to the integer division {@code /} operator.
+     *
+     * @param x the dividend
+     * @param y the divisor
+     * @return the largest (closest to positive infinity)
+     * {@code int} value that is less than or equal to the algebraic quotient.
+     * @throws ArithmeticException if the divisor {@code y} is zero
+     * @see Math#floorDiv(long, int)
+     * @see Math#floor(double)
+     * @since 9
+     */
+    public static long floorDiv(long x, int y) {
+        return Math.floorDiv(x, y);
+    }
+
+    /**
+     * Returns the largest (closest to positive infinity)
+     * {@code long} value that is less than or equal to the algebraic quotient.
+     * There is one special case, if the dividend is the
+     * {@linkplain Long#MIN_VALUE Long.MIN_VALUE} and the divisor is {@code -1},
+     * then integer overflow occurs and
      * the result is equal to the {@code Long.MIN_VALUE}.
      * <p>
      * See {@link Math#floorDiv(int, int) Math.floorDiv} for examples and
      * a comparison to the integer division {@code /} operator.
      *
      * @param x the dividend
      * @param y the divisor
      * @return the largest (closest to positive infinity)
      * {@code long} value that is less than or equal to the algebraic quotient.
      * @throws ArithmeticException if the divisor {@code y} is zero
      * @see Math#floorDiv(long, long)
      * @see Math#floor(double)
      * @since 1.8
      */
     public static long floorDiv(long x, long y) {
         return Math.floorDiv(x, y);
     }
 
     /**
      * Returns the floor modulus of the {@code int} arguments.
      * <p>
      * The floor modulus is {@code x - (floorDiv(x, y) * y)},
      * has the same sign as the divisor {@code y}, and
      * is in the range of {@code -abs(y) < r < +abs(y)}.
      * <p>
      * The relationship between {@code floorDiv} and {@code floorMod} is such that:
      * <ul>
      *   <li>{@code floorDiv(x, y) * y + floorMod(x, y) == x}
      * </ul>
      * <p>
      * See {@link Math#floorMod(int, int) Math.floorMod} for examples and
      * a comparison to the {@code %} operator.
      *
      * @param x the dividend
      * @param y the divisor
      * @return the floor modulus {@code x - (floorDiv(x, y) * y)}
      * @throws ArithmeticException if the divisor {@code y} is zero
      * @see Math#floorMod(int, int)
      * @see StrictMath#floorDiv(int, int)
      * @since 1.8
      */
     public static int floorMod(int x, int y) {
         return Math.floorMod(x , y);
     }
+
+    /**
+     * Returns the floor modulus of the {@code long} and {@code int} arguments.
+     * <p>
+     * The floor modulus is {@code x - (floorDiv(x, y) * y)},
+     * has the same sign as the divisor {@code y}, and
+     * is in the range of {@code -abs(y) < r < +abs(y)}.
+     *
+     * <p>
+     * The relationship between {@code floorDiv} and {@code floorMod} is such that:
+     * <ul>
+     *   <li>{@code floorDiv(x, y) * y + floorMod(x, y) == x}
+     * </ul>
+     * <p>
+     * See {@link Math#floorMod(int, int) Math.floorMod} for examples and
+     * a comparison to the {@code %} operator.
+     *
+     * @param x the dividend
+     * @param y the divisor
+     * @return the floor modulus {@code x - (floorDiv(x, y) * y)}
+     * @throws ArithmeticException if the divisor {@code y} is zero
+     * @see Math#floorMod(long, int)
+     * @see StrictMath#floorDiv(long, int)
+     * @since 9
+     */
+    public static int floorMod(long x, int y) {
+        return Math.floorMod(x , y);
+    }
+
     /**
      * Returns the floor modulus of the {@code long} arguments.
      * <p>
      * The floor modulus is {@code x - (floorDiv(x, y) * y)},
      * has the same sign as the divisor {@code y}, and
      * is in the range of {@code -abs(y) < r < +abs(y)}.
      * <p>
      * The relationship between {@code floorDiv} and {@code floorMod} is such that:
      * <ul>
      *   <li>{@code floorDiv(x, y) * y + floorMod(x, y) == x}
      * </ul>
      * <p>
      * See {@link Math#floorMod(int, int) Math.floorMod} for examples and
      * a comparison to the {@code %} operator.
      *
      * @param x the dividend
      * @param y the divisor
      * @return the floor modulus {@code x - (floorDiv(x, y) * y)}
      * @throws ArithmeticException if the divisor {@code y} is zero
      * @see Math#floorMod(long, long)
      * @see StrictMath#floorDiv(long, long)
      * @since 1.8
      */
     public static long floorMod(long x, long y) {
         return Math.floorMod(x, y);
     }
 
     /**
      * Returns the absolute value of an {@code int} value.
      * If the argument is not negative, the argument is returned.
      * If the argument is negative, the negation of the argument is returned.
      *
      * <p>Note that if the argument is equal to the value of
      * {@link Integer#MIN_VALUE}, the most negative representable
      * {@code int} value, the result is that same value, which is
      * negative.
      *
      * @param   a   the  argument whose absolute value is to be determined.
      * @return  the absolute value of the argument.
      */
     public static int abs(int a) {
         return Math.abs(a);
     }
 
     /**
      * Returns the absolute value of a {@code long} value.
      * If the argument is not negative, the argument is returned.
      * If the argument is negative, the negation of the argument is returned.
      *
      * <p>Note that if the argument is equal to the value of
      * {@link Long#MIN_VALUE}, the most negative representable
      * {@code long} value, the result is that same value, which
      * is negative.
      *
      * @param   a   the  argument whose absolute value is to be determined.
      * @return  the absolute value of the argument.
      */
     public static long abs(long a) {
         return Math.abs(a);
     }
 
     /**
      * Returns the absolute value of a {@code float} value.
      * If the argument is not negative, the argument is returned.
      * If the argument is negative, the negation of the argument is returned.
      * Special cases:
      * <ul><li>If the argument is positive zero or negative zero, the
      * result is positive zero.
      * <li>If the argument is infinite, the result is positive infinity.
      * <li>If the argument is NaN, the result is NaN.</ul>
-     * In other words, the result is the same as the value of the expression:
-     * <p>{@code Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))}
+     *
+     * @apiNote As implied by the above, one valid implementation of
+     * this method is given by the expression below which computes a
+     * {@code float} with the same exponent and significand as the
+     * argument but with a guaranteed zero sign bit indicating a
+     * positive value: <br>
+     * {@code Float.intBitsToFloat(0x7fffffff & Float.floatToRawIntBits(a))}
      *
      * @param   a   the argument whose absolute value is to be determined
      * @return  the absolute value of the argument.
      */
     public static float abs(float a) {
         return Math.abs(a);
     }
 
     /**
      * Returns the absolute value of a {@code double} value.
      * If the argument is not negative, the argument is returned.
      * If the argument is negative, the negation of the argument is returned.
      * Special cases:
      * <ul><li>If the argument is positive zero or negative zero, the result
      * is positive zero.
      * <li>If the argument is infinite, the result is positive infinity.
      * <li>If the argument is NaN, the result is NaN.</ul>
-     * In other words, the result is the same as the value of the expression:
-     * <p>{@code Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)}
+     *
+     * @apiNote As implied by the above, one valid implementation of
+     * this method is given by the expression below which computes a
+     * {@code double} with the same exponent and significand as the
+     * argument but with a guaranteed zero sign bit indicating a
+     * positive value: <br>
+     * {@code Double.longBitsToDouble((Double.doubleToRawLongBits(a)<<1)>>>1)}
      *
      * @param   a   the argument whose absolute value is to be determined
      * @return  the absolute value of the argument.
      */
     public static double abs(double a) {
         return Math.abs(a);
     }
 
     /**
      * Returns the greater of two {@code int} values. That is, the
      * result is the argument closer to the value of
      * {@link Integer#MAX_VALUE}. If the arguments have the same value,
      * the result is that same value.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the larger of {@code a} and {@code b}.
      */
+    @HotSpotIntrinsicCandidate
     public static int max(int a, int b) {
         return Math.max(a, b);
     }
 
     /**
      * Returns the greater of two {@code long} values. That is, the
      * result is the argument closer to the value of
      * {@link Long#MAX_VALUE}. If the arguments have the same value,
      * the result is that same value.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the larger of {@code a} and {@code b}.
         */
     public static long max(long a, long b) {
         return Math.max(a, b);
     }
 
     /**
      * Returns the greater of two {@code float} values.  That is,
      * the result is the argument closer to positive infinity. If the
      * arguments have the same value, the result is that same
      * value. If either value is NaN, then the result is NaN.  Unlike
      * the numerical comparison operators, this method considers
      * negative zero to be strictly smaller than positive zero. If one
      * argument is positive zero and the other negative zero, the
      * result is positive zero.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the larger of {@code a} and {@code b}.
      */
     public static float max(float a, float b) {
         return Math.max(a, b);
     }
 
     /**
      * Returns the greater of two {@code double} values.  That
      * is, the result is the argument closer to positive infinity. If
      * the arguments have the same value, the result is that same
      * value. If either value is NaN, then the result is NaN.  Unlike
      * the numerical comparison operators, this method considers
      * negative zero to be strictly smaller than positive zero. If one
      * argument is positive zero and the other negative zero, the
      * result is positive zero.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the larger of {@code a} and {@code b}.
      */
     public static double max(double a, double b) {
         return Math.max(a, b);
     }
 
     /**
      * Returns the smaller of two {@code int} values. That is,
      * the result the argument closer to the value of
      * {@link Integer#MIN_VALUE}.  If the arguments have the same
      * value, the result is that same value.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the smaller of {@code a} and {@code b}.
      */
+    @HotSpotIntrinsicCandidate
     public static int min(int a, int b) {
         return Math.min(a, b);
     }
 
     /**
      * Returns the smaller of two {@code long} values. That is,
      * the result is the argument closer to the value of
      * {@link Long#MIN_VALUE}. If the arguments have the same
      * value, the result is that same value.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the smaller of {@code a} and {@code b}.
      */
     public static long min(long a, long b) {
         return Math.min(a, b);
     }
 
     /**
      * Returns the smaller of two {@code float} values.  That is,
      * the result is the value closer to negative infinity. If the
      * arguments have the same value, the result is that same
      * value. If either value is NaN, then the result is NaN.  Unlike
      * the numerical comparison operators, this method considers
      * negative zero to be strictly smaller than positive zero.  If
      * one argument is positive zero and the other is negative zero,
      * the result is negative zero.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the smaller of {@code a} and {@code b.}
      */
     public static float min(float a, float b) {
         return Math.min(a, b);
     }
 
     /**
      * Returns the smaller of two {@code double} values.  That
      * is, the result is the value closer to negative infinity. If the
      * arguments have the same value, the result is that same
      * value. If either value is NaN, then the result is NaN.  Unlike
      * the numerical comparison operators, this method considers
      * negative zero to be strictly smaller than positive zero. If one
      * argument is positive zero and the other is negative zero, the
      * result is negative zero.
      *
      * @param   a   an argument.
      * @param   b   another argument.
      * @return  the smaller of {@code a} and {@code b}.
      */
     public static double min(double a, double b) {
         return Math.min(a, b);
     }
 
     /**
+     * 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}.
+     *
+     * The rounding is done using the {@linkplain
+     * java.math.RoundingMode#HALF_EVEN round to nearest even
+     * rounding mode}.
+     *
+     * In contrast, if {@code a * b + c} is evaluated as a regular
+     * floating-point expression, two rounding errors are involved,
+     * the first for the multiply operation, the second for the
+     * addition operation.
+     *
+     * <p>Special cases:
+     * <ul>
+     * <li> If any argument is NaN, the result is NaN.
+     *
+     * <li> If one of the first two arguments is infinite and the
+     * other is zero, the result is NaN.
+     *
+     * <li> If the exact product of the first two arguments is infinite
+     * (in other words, at least one of the arguments is infinite and
+     * the other is neither zero nor NaN) and the third argument is an
+     * infinity of the opposite sign, the result is NaN.
+     *
+     * </ul>
+     *
+     * <p>Note that {@code fusedMac(a, 1.0, c)} returns the same
+     * result as ({@code a + c}).  However,
+     * {@code fusedMac(a, b, +0.0)} does <em>not</em> always return the
+     * same result as ({@code a * b}) since
+     * {@code fusedMac(-0.0, +0.0, +0.0)} is {@code +0.0} while
+     * ({@code -0.0 * +0.0}) is {@code -0.0}; {@code fusedMac(a, b, -0.0)} is
+     * equivalent to ({@code a * b}) however.
+     *
+     * @apiNote This method corresponds to the fusedMultiplyAdd
+     * operation defined in IEEE 754-2008.
+     *
+     * @param a a value
+     * @param b a value
+     * @param c a value
+     *
+     * @return (<i>a</i>&nbsp;&times;&nbsp;<i>b</i>&nbsp;+&nbsp;<i>c</i>)
+     * computed, as if with unlimited range and precision, and rounded
+     * once to the nearest {@code double} value
+     *
+     * @since 9
+     */
+    public static double fma(double a, double b, double c) {
+        return Math.fma(a, b, c);
+    }
+
+    /**
+     * 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}.
+     *
+     * The rounding is done using the {@linkplain
+     * java.math.RoundingMode#HALF_EVEN round to nearest even
+     * rounding mode}.
+     *
+     * In contrast, if {@code a * b + c} is evaluated as a regular
+     * floating-point expression, two rounding errors are involved,
+     * the first for the multiply operation, the second for the
+     * addition operation.
+     *
+     * <p>Special cases:
+     * <ul>
+     * <li> If any argument is NaN, the result is NaN.
+     *
+     * <li> If one of the first two arguments is infinite and the
+     * other is zero, the result is NaN.
+     *
+     * <li> If the exact product of the first two arguments is infinite
+     * (in other words, at least one of the arguments is infinite and
+     * the other is neither zero nor NaN) and the third argument is an
+     * infinity of the opposite sign, the result is NaN.
+     *
+     * </ul>
+     *
+     * <p>Note that {@code fma(a, 1.0f, c)} returns the same
+     * result as ({@code a + c}).  However,
+     * {@code fma(a, b, +0.0f)} does <em>not</em> always return the
+     * same result as ({@code a * b}) since
+     * {@code fma(-0.0f, +0.0f, +0.0f)} is {@code +0.0f} while
+     * ({@code -0.0f * +0.0f}) is {@code -0.0f}; {@code fma(a, b, -0.0f)} is
+     * equivalent to ({@code a * b}) however.
+     *
+     * @apiNote This method corresponds to the fusedMultiplyAdd
+     * operation defined in IEEE 754-2008.
+     *
+     * @param a a value
+     * @param b a value
+     * @param c a value
+     *
+     * @return (<i>a</i>&nbsp;&times;&nbsp;<i>b</i>&nbsp;+&nbsp;<i>c</i>)
+     * computed, as if with unlimited range and precision, and rounded
+     * once to the nearest {@code float} value
+     *
+     * @since 9
+     */
+    public static float fma(float a, float b, float c) {
+        return Math.fma(a, b, c);
+    }
+
+    /**
      * Returns the size of an ulp of the argument.  An ulp, unit in
      * the last place, of a {@code double} value is the positive
      * distance between this floating-point value and the {@code
      * double} value next larger in magnitude.  Note that for non-NaN
      * <i>x</i>, <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, then the result is NaN.
      * <li> If the argument is positive or negative infinity, then the
      * result is positive infinity.
      * <li> If the argument is positive or negative zero, then the result is
      * {@code Double.MIN_VALUE}.
      * <li> If the argument is &plusmn;{@code Double.MAX_VALUE}, then
      * the result is equal to 2<sup>971</sup>.
      * </ul>
      *
      * @param d the floating-point value whose ulp is to be returned
      * @return the size of an ulp of the argument
      * @author Joseph D. Darcy
      * @since 1.5
      */
     public static double ulp(double d) {
         return Math.ulp(d);
     }
 
     /**
      * Returns the size of an ulp of the argument.  An ulp, unit in
      * the last place, of a {@code float} value is the positive
      * distance between this floating-point value and the {@code
      * float} value next larger in magnitude.  Note that for non-NaN
      * <i>x</i>, <code>ulp(-<i>x</i>) == ulp(<i>x</i>)</code>.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, then the result is NaN.
      * <li> If the argument is positive or negative infinity, then the
      * result is positive infinity.
      * <li> If the argument is positive or negative zero, then the result is
      * {@code Float.MIN_VALUE}.
      * <li> If the argument is &plusmn;{@code Float.MAX_VALUE}, then
      * the result is equal to 2<sup>104</sup>.
      * </ul>
      *
      * @param f the floating-point value whose ulp is to be returned
      * @return the size of an ulp of the argument
      * @author Joseph D. Darcy
      * @since 1.5
      */
     public static float ulp(float f) {
         return Math.ulp(f);
     }
 
     /**
      * Returns the signum function of the argument; zero if the argument
      * is zero, 1.0 if the argument is greater than zero, -1.0 if the
      * argument is less than zero.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, then the result is NaN.
      * <li> If the argument is positive zero or negative zero, then the
      *      result is the same as the argument.
      * </ul>
      *
      * @param d the floating-point value whose signum is to be returned
      * @return the signum function of the argument
      * @author Joseph D. Darcy
      * @since 1.5
      */
     public static double signum(double d) {
         return Math.signum(d);
     }
 
     /**
      * Returns the signum function of the argument; zero if the argument
      * is zero, 1.0f if the argument is greater than zero, -1.0f if the
      * argument is less than zero.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, then the result is NaN.
      * <li> If the argument is positive zero or negative zero, then the
      *      result is the same as the argument.
      * </ul>
      *
      * @param f the floating-point value whose signum is to be returned
      * @return the signum function of the argument
      * @author Joseph D. Darcy
      * @since 1.5
      */
     public static float signum(float f) {
         return Math.signum(f);
     }
 
     /**
      * Returns the hyperbolic sine of a {@code double} value.
      * The hyperbolic sine of <i>x</i> is defined to be
      * (<i>e<sup>x</sup>&nbsp;-&nbsp;e<sup>-x</sup></i>)/2
      * where <i>e</i> is {@linkplain Math#E Euler's number}.
      *
      * <p>Special cases:
      * <ul>
      *
      * <li>If the argument is NaN, then the result is NaN.
      *
      * <li>If the argument is infinite, then the result is an infinity
      * with the same sign as the argument.
      *
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.
      *
      * </ul>
      *
      * @param   x The number whose hyperbolic sine is to be returned.
      * @return  The hyperbolic sine of {@code x}.
      * @since 1.5
      */
     public static native double sinh(double x);
 
     /**
      * Returns the hyperbolic cosine of a {@code double} value.
      * The hyperbolic cosine of <i>x</i> is defined to be
      * (<i>e<sup>x</sup>&nbsp;+&nbsp;e<sup>-x</sup></i>)/2
      * where <i>e</i> is {@linkplain Math#E Euler's number}.
      *
      * <p>Special cases:
      * <ul>
      *
      * <li>If the argument is NaN, then the result is NaN.
      *
      * <li>If the argument is infinite, then the result is positive
      * infinity.
      *
      * <li>If the argument is zero, then the result is {@code 1.0}.
      *
      * </ul>
      *
      * @param   x The number whose hyperbolic cosine is to be returned.
      * @return  The hyperbolic cosine of {@code x}.
      * @since 1.5
      */
     public static native double cosh(double x);
 
     /**
      * Returns the hyperbolic tangent of a {@code double} value.
      * The hyperbolic tangent of <i>x</i> is defined to be
      * (<i>e<sup>x</sup>&nbsp;-&nbsp;e<sup>-x</sup></i>)/(<i>e<sup>x</sup>&nbsp;+&nbsp;e<sup>-x</sup></i>),
      * in other words, {@linkplain Math#sinh
      * sinh(<i>x</i>)}/{@linkplain Math#cosh cosh(<i>x</i>)}.  Note
      * that the absolute value of the exact tanh is always less than
      * 1.
      *
      * <p>Special cases:
      * <ul>
      *
      * <li>If the argument is NaN, then the result is NaN.
      *
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.
      *
      * <li>If the argument is positive infinity, then the result is
      * {@code +1.0}.
      *
      * <li>If the argument is negative infinity, then the result is
      * {@code -1.0}.
      *
      * </ul>
      *
      * @param   x The number whose hyperbolic tangent is to be returned.
      * @return  The hyperbolic tangent of {@code x}.
      * @since 1.5
      */
     public static native double tanh(double x);
 
     /**
      * Returns sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
      * without intermediate overflow or underflow.
      *
      * <p>Special cases:
      * <ul>
      *
      * <li> If either argument is infinite, then the result
      * is positive infinity.
      *
      * <li> If either argument is NaN and neither argument is infinite,
      * then the result is NaN.
      *
      * </ul>
      *
      * @param x a value
      * @param y a value
      * @return sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
      * without intermediate overflow or underflow
      * @since 1.5
      */
-    public static native double hypot(double x, double y);
+    public static double hypot(double x, double y) {
+        return FdLibm.Hypot.compute(x, y);
+    }
 
     /**
      * Returns <i>e</i><sup>x</sup>&nbsp;-1.  Note that for values of
      * <i>x</i> near 0, the exact sum of
      * {@code expm1(x)}&nbsp;+&nbsp;1 is much closer to the true
      * result of <i>e</i><sup>x</sup> than {@code exp(x)}.
      *
      * <p>Special cases:
      * <ul>
      * <li>If the argument is NaN, the result is NaN.
      *
      * <li>If the argument is positive infinity, then the result is
      * positive infinity.
      *
      * <li>If the argument is negative infinity, then the result is
      * -1.0.
      *
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.
      *
      * </ul>
      *
      * @param   x   the exponent to raise <i>e</i> to in the computation of
      *              <i>e</i><sup>{@code x}</sup>&nbsp;-1.
      * @return  the value <i>e</i><sup>{@code x}</sup>&nbsp;-&nbsp;1.
      * @since 1.5
      */
     public static native double expm1(double x);
 
     /**
      * Returns the natural logarithm of the sum of the argument and 1.
      * Note that for small values {@code x}, the result of
      * {@code log1p(x)} is much closer to the true result of ln(1
      * + {@code x}) than the floating-point evaluation of
      * {@code log(1.0+x)}.
      *
      * <p>Special cases:
      * <ul>
      *
      * <li>If the argument is NaN or less than -1, then the result is
      * NaN.
      *
      * <li>If the argument is positive infinity, then the result is
      * positive infinity.
      *
      * <li>If the argument is negative one, then the result is
      * negative infinity.
      *
      * <li>If the argument is zero, then the result is a zero with the
      * same sign as the argument.
      *
      * </ul>
      *
      * @param   x   a value
      * @return the value ln({@code x}&nbsp;+&nbsp;1), the natural
      * log of {@code x}&nbsp;+&nbsp;1
      * @since 1.5
      */
     public static native double log1p(double x);
 
     /**
      * Returns the first floating-point argument with the sign of the
      * second floating-point argument.  For this method, a NaN
      * {@code sign} argument is always treated as if it were
      * positive.
      *
      * @param magnitude  the parameter providing the magnitude of the result
      * @param sign   the parameter providing the sign of the result
      * @return a value with the magnitude of {@code magnitude}
      * and the sign of {@code sign}.
      * @since 1.6
      */
     public static double copySign(double magnitude, double sign) {
         return Math.copySign(magnitude, (Double.isNaN(sign)?1.0d:sign));
     }
 
     /**
      * Returns the first floating-point argument with the sign of the
      * second floating-point argument.  For this method, a NaN
      * {@code sign} argument is always treated as if it were
      * positive.
      *
      * @param magnitude  the parameter providing the magnitude of the result
      * @param sign   the parameter providing the sign of the result
      * @return a value with the magnitude of {@code magnitude}
      * and the sign of {@code sign}.
      * @since 1.6
      */
     public static float copySign(float magnitude, float sign) {
         return Math.copySign(magnitude, (Float.isNaN(sign)?1.0f:sign));
     }
     /**
      * Returns the unbiased exponent used in the representation of a
      * {@code float}.  Special cases:
      *
      * <ul>
      * <li>If the argument is NaN or infinite, then the result is
      * {@link Float#MAX_EXPONENT} + 1.
      * <li>If the argument is zero or subnormal, then the result is
      * {@link Float#MIN_EXPONENT} -1.
      * </ul>
      * @param f a {@code float} value
      * @return the unbiased exponent of the argument
      * @since 1.6
      */
     public static int getExponent(float f) {
         return Math.getExponent(f);
     }
 
     /**
      * Returns the unbiased exponent used in the representation of a
      * {@code double}.  Special cases:
      *
      * <ul>
      * <li>If the argument is NaN or infinite, then the result is
      * {@link Double#MAX_EXPONENT} + 1.
      * <li>If the argument is zero or subnormal, then the result is
      * {@link Double#MIN_EXPONENT} -1.
      * </ul>
      * @param d a {@code double} value
      * @return the unbiased exponent of the argument
      * @since 1.6
      */
     public static int getExponent(double d) {
         return Math.getExponent(d);
     }
 
     /**
      * Returns the floating-point number adjacent to the first
      * argument in the direction of the second argument.  If both
      * arguments compare as equal the second argument is returned.
      *
      * <p>Special cases:
      * <ul>
      * <li> If either argument is a NaN, then NaN is returned.
      *
      * <li> If both arguments are signed zeros, {@code direction}
      * is returned unchanged (as implied by the requirement of
      * returning the second argument if the arguments compare as
      * equal).
      *
      * <li> If {@code start} is
      * &plusmn;{@link Double#MIN_VALUE} and {@code direction}
      * has a value such that the result should have a smaller
      * magnitude, then a zero with the same sign as {@code start}
      * is returned.
      *
      * <li> If {@code start} is infinite and
      * {@code direction} has a value such that the result should
      * have a smaller magnitude, {@link Double#MAX_VALUE} with the
      * same sign as {@code start} is returned.
      *
      * <li> If {@code start} is equal to &plusmn;
      * {@link Double#MAX_VALUE} and {@code direction} has a
      * value such that the result should have a larger magnitude, an
      * infinity with same sign as {@code start} is returned.
      * </ul>
      *
      * @param start  starting floating-point value
      * @param direction value indicating which of
      * {@code start}'s neighbors or {@code start} should
      * be returned
      * @return The floating-point number adjacent to {@code start} in the
      * direction of {@code direction}.
      * @since 1.6
      */
     public static double nextAfter(double start, double direction) {
         return Math.nextAfter(start, direction);
     }
 
     /**
      * Returns the floating-point number adjacent to the first
      * argument in the direction of the second argument.  If both
      * arguments compare as equal a value equivalent to the second argument
      * is returned.
      *
      * <p>Special cases:
      * <ul>
      * <li> If either argument is a NaN, then NaN is returned.
      *
      * <li> If both arguments are signed zeros, a value equivalent
      * to {@code direction} is returned.
      *
      * <li> If {@code start} is
      * &plusmn;{@link Float#MIN_VALUE} and {@code direction}
      * has a value such that the result should have a smaller
      * magnitude, then a zero with the same sign as {@code start}
      * is returned.
      *
      * <li> If {@code start} is infinite and
      * {@code direction} has a value such that the result should
      * have a smaller magnitude, {@link Float#MAX_VALUE} with the
      * same sign as {@code start} is returned.
      *
      * <li> If {@code start} is equal to &plusmn;
      * {@link Float#MAX_VALUE} and {@code direction} has a
      * value such that the result should have a larger magnitude, an
      * infinity with same sign as {@code start} is returned.
      * </ul>
      *
      * @param start  starting floating-point value
      * @param direction value indicating which of
      * {@code start}'s neighbors or {@code start} should
      * be returned
      * @return The floating-point number adjacent to {@code start} in the
      * direction of {@code direction}.
      * @since 1.6
      */
     public static float nextAfter(float start, double direction) {
         return Math.nextAfter(start, direction);
     }
 
     /**
      * Returns the floating-point value adjacent to {@code d} in
      * the direction of positive infinity.  This method is
      * semantically equivalent to {@code nextAfter(d,
      * Double.POSITIVE_INFINITY)}; however, a {@code nextUp}
      * implementation may run faster than its equivalent
      * {@code nextAfter} call.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, the result is NaN.
      *
      * <li> If the argument is positive infinity, the result is
      * positive infinity.
      *
      * <li> If the argument is zero, the result is
      * {@link Double#MIN_VALUE}
      *
      * </ul>
      *
      * @param d starting floating-point value
      * @return The adjacent floating-point value closer to positive
      * infinity.
      * @since 1.6
      */
     public static double nextUp(double d) {
         return Math.nextUp(d);
     }
 
     /**
      * Returns the floating-point value adjacent to {@code f} in
      * the direction of positive infinity.  This method is
      * semantically equivalent to {@code nextAfter(f,
      * Float.POSITIVE_INFINITY)}; however, a {@code nextUp}
      * implementation may run faster than its equivalent
      * {@code nextAfter} call.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, the result is NaN.
      *
      * <li> If the argument is positive infinity, the result is
      * positive infinity.
      *
      * <li> If the argument is zero, the result is
      * {@link Float#MIN_VALUE}
      *
      * </ul>
      *
      * @param f starting floating-point value
      * @return The adjacent floating-point value closer to positive
      * infinity.
      * @since 1.6
      */
     public static float nextUp(float f) {
         return Math.nextUp(f);
     }
 
     /**
      * Returns the floating-point value adjacent to {@code d} in
      * the direction of negative infinity.  This method is
      * semantically equivalent to {@code nextAfter(d,
      * Double.NEGATIVE_INFINITY)}; however, a
      * {@code nextDown} implementation may run faster than its
      * equivalent {@code nextAfter} call.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, the result is NaN.
      *
      * <li> If the argument is negative infinity, the result is
      * negative infinity.
      *
      * <li> If the argument is zero, the result is
      * {@code -Double.MIN_VALUE}
      *
      * </ul>
      *
      * @param d  starting floating-point value
      * @return The adjacent floating-point value closer to negative
      * infinity.
      * @since 1.8
      */
     public static double nextDown(double d) {
         return Math.nextDown(d);
     }
 
     /**
      * Returns the floating-point value adjacent to {@code f} in
      * the direction of negative infinity.  This method is
      * semantically equivalent to {@code nextAfter(f,
      * Float.NEGATIVE_INFINITY)}; however, a
      * {@code nextDown} implementation may run faster than its
      * equivalent {@code nextAfter} call.
      *
      * <p>Special Cases:
      * <ul>
      * <li> If the argument is NaN, the result is NaN.
      *
      * <li> If the argument is negative infinity, the result is
      * negative infinity.
      *
      * <li> If the argument is zero, the result is
      * {@code -Float.MIN_VALUE}
      *
      * </ul>
      *
      * @param f  starting floating-point value
      * @return The adjacent floating-point value closer to negative
      * infinity.
      * @since 1.8
      */
     public static float nextDown(float f) {
         return Math.nextDown(f);
     }
 
     /**
      * Returns {@code d} &times;
      * 2<sup>{@code scaleFactor}</sup> rounded as if performed
      * by a single correctly rounded floating-point multiply to a
      * member of the double value set.  See the Java
      * Language Specification for a discussion of floating-point
      * value sets.  If the exponent of the result is between {@link
      * Double#MIN_EXPONENT} and {@link Double#MAX_EXPONENT}, the
      * answer is calculated exactly.  If the exponent of the result
      * would be larger than {@code Double.MAX_EXPONENT}, an
      * infinity is returned.  Note that if the result is subnormal,
      * precision may be lost; that is, when {@code scalb(x, n)}
      * is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
      * <i>x</i>.  When the result is non-NaN, the result has the same
      * sign as {@code d}.
      *
      * <p>Special cases:
      * <ul>
      * <li> If the first argument is NaN, NaN is returned.
      * <li> If the first argument is infinite, then an infinity of the
      * same sign is returned.
      * <li> If the first argument is zero, then a zero of the same
      * sign is returned.
      * </ul>
      *
      * @param d number to be scaled by a power of two.
      * @param scaleFactor power of 2 used to scale {@code d}
      * @return {@code d} &times; 2<sup>{@code scaleFactor}</sup>
      * @since 1.6
      */
     public static double scalb(double d, int scaleFactor) {
         return Math.scalb(d, scaleFactor);
     }
 
     /**
      * Returns {@code f} &times;
      * 2<sup>{@code scaleFactor}</sup> rounded as if performed
      * by a single correctly rounded floating-point multiply to a
      * member of the float value set.  See the Java
      * Language Specification for a discussion of floating-point
      * value sets.  If the exponent of the result is between {@link
      * Float#MIN_EXPONENT} and {@link Float#MAX_EXPONENT}, the
      * answer is calculated exactly.  If the exponent of the result
      * would be larger than {@code Float.MAX_EXPONENT}, an
      * infinity is returned.  Note that if the result is subnormal,
      * precision may be lost; that is, when {@code scalb(x, n)}
      * is subnormal, {@code scalb(scalb(x, n), -n)} may not equal
      * <i>x</i>.  When the result is non-NaN, the result has the same
      * sign as {@code f}.
      *
      * <p>Special cases:
      * <ul>
      * <li> If the first argument is NaN, NaN is returned.
      * <li> If the first argument is infinite, then an infinity of the
      * same sign is returned.
      * <li> If the first argument is zero, then a zero of the same
      * sign is returned.
      * </ul>
      *
      * @param f number to be scaled by a power of two.
      * @param scaleFactor power of 2 used to scale {@code f}
      * @return {@code f} &times; 2<sup>{@code scaleFactor}</sup>
      * @since 1.6
      */
     public static float scalb(float f, int scaleFactor) {
         return Math.scalb(f, scaleFactor);
     }
 }