Package org.joml

Class Math

  • public class Math
extends java.lang.Object
    Contains fast approximations of some Math operations.

    By default, Math methods will be used by all other JOML classes. In order to use the approximations in this class, start the JVM with the parameter -Djoml.fastmath.

    There are two algorithms for approximating sin/cos:

    1. arithmetic polynomial approximation contributed by roquendm
    2. theagentd's linear interpolation variant of Riven's algorithm from http://www.java-gaming.org/
    By default, the first algorithm is being used. In order to use the second one, start the JVM with -Djoml.sinLookup. The lookup table bit length of the second algorithm can also be adjusted for improved accuracy via -Djoml.sinLookup.bits=<n>, where <n> is the number of bits of the lookup table.
    Author:
    Kai Burjack

    • Field Summary

      Fields 
      Modifier and Type Field Description
      static double PI  

    • Constructor Summary

      Constructors 
      Constructor Description
      Math()  

    • Method Summary

      All Methods Static Methods Concrete Methods 
      Modifier and Type Method Description
      static double abs​(double r)  
      static float abs​(float r)  
      static int abs​(int r)  
      static double acos​(double r)  
      static float acos​(float r)  
      static double asin​(double r)  
      static float asin​(float r)  
      static double atan2​(double y, double x)  
      static float atan2​(float y, float x)  
      static double biLerp​(double q00, double q10, double q01, double q11, double tx, double ty)  
      static float biLerp​(float q00, float q10, float q01, float q11, float tx, float ty)  
      static double ceil​(double v)  
      static float ceil​(float v)  
      static double clamp​(double a, double b, double val)  
      static float clamp​(float a, float b, float val)  
      static int clamp​(int a, int b, int val)  
      static double cos​(double rad)  
      static float cos​(float rad)  
      static double cosFromSin​(double sin, double angle)  
      static float cosFromSin​(float sin, float angle)  
      static double exp​(double a)  
      static double floor​(double v)  
      static float floor​(float v)  
      static double fma​(double a, double b, double c)  
      static float fma​(float a, float b, float c)  
      static double invsqrt​(double r)  
      static float invsqrt​(float r)  
      static boolean isFinite​(double d)  
      static boolean isFinite​(float f)  
      static double lerp​(double a, double b, double t)  
      static float lerp​(float a, float b, float t)  
      static double max​(double a, double b)  
      static float max​(float a, float b)  
      static int max​(int x, int y)  
      static double min​(double a, double b)  
      static float min​(float a, float b)  
      static int min​(int x, int y)  
      static double random()  
      static long round​(double v)  
      static int round​(float v)  
      static int roundHalfDown​(double v)  
      static int roundHalfDown​(float v)  
      static int roundHalfEven​(double v)  
      static int roundHalfEven​(float v)  
      static int roundHalfUp​(double v)  
      static int roundHalfUp​(float v)  
      static int roundUsing​(double v, int mode)  
      static int roundUsing​(float v, int mode)  
      static double safeAcos​(double v)  
      static float safeAcos​(float v)  
      static double safeAsin​(double r)  
      static float safeAsin​(float r)  
      static double signum​(double v)  
      static float signum​(float v)  
      static int signum​(int v)  
      static int signum​(long v)  
      static double sin​(double rad)  
      static float sin​(float rad)  
      static double sqrt​(double r)  
      static float sqrt​(float r)  
      static double tan​(double r)  
      static float tan​(float r)  
      static double toDegrees​(double angles)  
      static double toRadians​(double angles)  
      static float toRadians​(float angles)  
      static double triLerp​(double q000, double q100, double q010, double q110, double q001, double q101, double q011, double q111, double tx, double ty, double tz)  
      static float triLerp​(float q000, float q100, float q010, float q110, float q001, float q101, float q011, float q111, float tx, float ty, float tz)  

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

    • Constructor Detail

      • Math

        public Math()

    • Method Detail

      • sin

        public static float sin​(float rad)

      • sin

        public static double sin​(double rad)

      • cos

        public static float cos​(float rad)

      • cos

        public static double cos​(double rad)

      • cosFromSin

        public static float cosFromSin​(float sin,
                               float angle)

      • cosFromSin

        public static double cosFromSin​(double sin,
                                double angle)

      • sqrt

        public static float sqrt​(float r)

      • sqrt

        public static double sqrt​(double r)

      • invsqrt

        public static float invsqrt​(float r)

      • invsqrt

        public static double invsqrt​(double r)

      • tan

        public static float tan​(float r)

      • tan

        public static double tan​(double r)

      • acos

        public static float acos​(float r)

      • acos

        public static double acos​(double r)

      • safeAcos

        public static float safeAcos​(float v)

      • safeAcos

        public static double safeAcos​(double v)

      • atan2

        public static float atan2​(float y,
                          float x)

      • atan2

        public static double atan2​(double y,
                           double x)

      • asin

        public static float asin​(float r)

      • asin

        public static double asin​(double r)

      • safeAsin

        public static float safeAsin​(float r)

      • safeAsin

        public static double safeAsin​(double r)

      • abs

        public static float abs​(float r)

      • abs

        public static double abs​(double r)

      • abs

        public static int abs​(int r)

      • max

        public static int max​(int x,
                      int y)

      • min

        public static int min​(int x,
                      int y)

      • min

        public static double min​(double a,
                         double b)

      • min

        public static float min​(float a,
                        float b)

      • max

        public static float max​(float a,
                        float b)

      • max

        public static double max​(double a,
                         double b)

      • clamp

        public static float clamp​(float a,
                          float b,
                          float val)

      • clamp

        public static double clamp​(double a,
                           double b,
                           double val)

      • clamp

        public static int clamp​(int a,
                        int b,
                        int val)

      • toRadians

        public static float toRadians​(float angles)

      • toRadians

        public static double toRadians​(double angles)

      • toDegrees

        public static double toDegrees​(double angles)

      • floor

        public static double floor​(double v)

      • floor

        public static float floor​(float v)

      • ceil

        public static double ceil​(double v)

      • ceil

        public static float ceil​(float v)

      • round

        public static long round​(double v)

      • round

        public static int round​(float v)

      • exp

        public static double exp​(double a)

      • isFinite

        public static boolean isFinite​(double d)

      • isFinite

        public static boolean isFinite​(float f)

      • fma

        public static float fma​(float a,
                        float b,
                        float c)

      • fma

        public static double fma​(double a,
                         double b,
                         double c)

      • roundUsing

        public static int roundUsing​(float v,
                             int mode)

      • roundUsing

        public static int roundUsing​(double v,
                             int mode)

      • lerp

        public static float lerp​(float a,
                         float b,
                         float t)

      • lerp

        public static double lerp​(double a,
                          double b,
                          double t)

      • biLerp

        public static float biLerp​(float q00,
                           float q10,
                           float q01,
                           float q11,
                           float tx,
                           float ty)

      • biLerp

        public static double biLerp​(double q00,
                            double q10,
                            double q01,
                            double q11,
                            double tx,
                            double ty)

      • triLerp

        public static float triLerp​(float q000,
                            float q100,
                            float q010,
                            float q110,
                            float q001,
                            float q101,
                            float q011,
                            float q111,
                            float tx,
                            float ty,
                            float tz)

      • triLerp

        public static double triLerp​(double q000,
                             double q100,
                             double q010,
                             double q110,
                             double q001,
                             double q101,
                             double q011,
                             double q111,
                             double tx,
                             double ty,
                             double tz)

      • roundHalfEven

        public static int roundHalfEven​(float v)

      • roundHalfDown

        public static int roundHalfDown​(float v)

      • roundHalfUp

        public static int roundHalfUp​(float v)

      • roundHalfEven

        public static int roundHalfEven​(double v)

      • roundHalfDown

        public static int roundHalfDown​(double v)

      • roundHalfUp

        public static int roundHalfUp​(double v)

      • random

        public static double random()

      • signum

        public static double signum​(double v)

      • signum

        public static float signum​(float v)

      • signum

        public static int signum​(int v)

      • signum

        public static int signum​(long v)