org.matheclipse.core.eval

Class MathUtils

java.lang.Object

org.matheclipse.core.eval.MathUtils

public class MathUtils
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field and Description
static java.lang.Double[][]	rom

Constructor Summary

Constructors

Constructor and Description
MathUtils()

Method Summary

Modifier and Type	Method and Description
static double	arcLength(java.lang.String f, java.lang.String v, java.lang.String a, java.lang.String b)
static java.lang.String	evaluate(java.lang.String codeString, IAST function)
static java.lang.String	evaluate(java.lang.String codeString, java.lang.String function)
static java.lang.String	getDerivative(java.lang.String fun, java.lang.String[] var, java.lang.String resp)
static double	getFunctionVal(java.lang.String f, double s)
static java.lang.String	getFunctionVal(java.lang.String fun, java.lang.String[] var, java.lang.String resp, java.lang.String[] vals)
static double	getFunctionVal(java.lang.String f, java.lang.String v, java.lang.String x)
static java.lang.String	getPowerSeries(java.lang.String fun, java.lang.String v, java.lang.String cen, int iter)
static double	integrate(java.lang.String fun, java.lang.String v, java.lang.String aS, java.lang.String bS) Integrate a function numerically with the LegendreGauss method.
static double	integrate(java.lang.String fun, java.lang.String v1, java.lang.String v2, java.lang.String[] bounds) TODO use LegendreGauss method
static double	integrate(java.lang.String method, java.lang.String fun, java.lang.String v, java.lang.String aS, java.lang.String bS) Integrate a function numerically.
static boolean[]	isValid(java.lang.String[] fun, java.lang.String[] var)
static boolean	isValid(java.lang.String fun, java.lang.String[] var)
static IExpr	parse(java.lang.String evalStr, IAST function) Parse the codeString into an IExpr and if function unequals null, replace all occurences of symbol x in the function with the parsed expression.
static double	surfaceArea(java.lang.String fun, java.lang.String v1, java.lang.String v2, java.lang.String[] bounds)
static java.lang.String	tangentLine(java.lang.String f, java.lang.String x, java.lang.String v)

Methods inherited from class java.lang.Object

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

Field Detail

rom

public static java.lang.Double[][] rom

Constructor Detail

MathUtils

public MathUtils()

Method Detail

arcLength

public static double arcLength(java.lang.String f,
                               java.lang.String v,
                               java.lang.String a,
                               java.lang.String b)
                        throws MathException

Throws:

MathException

integrate

public static double integrate(java.lang.String fun,
                               java.lang.String v,
                               java.lang.String aS,
                               java.lang.String bS)
                        throws MathException

Integrate a function numerically with the LegendreGauss method.

Parameters:

fun - the function which should be integrated

v - the variable

aS - lower bound double value string for integration

bS - upper bound double value string for integration

Returns:

Throws:

MathException

integrate

public static double integrate(java.lang.String method,
                               java.lang.String fun,
                               java.lang.String v,
                               java.lang.String aS,
                               java.lang.String bS)
                        throws MathException

Integrate a function numerically.

Parameters:

method - the following methods are possible: LegendreGauss, Simpson, Romberg, Trapezoid

fun - the function which should be integrated

v - the variable

aS - lower bound double value string for integration

bS - upper bound double value string for integration

Returns:

Throws:

MathException

integrate

public static double integrate(java.lang.String fun,
                               java.lang.String v1,
                               java.lang.String v2,
                               java.lang.String[] bounds)

TODO use LegendreGauss method

Parameters:

fun -

v1 -

v2 -

bounds -

Returns:

getFunctionVal

public static double getFunctionVal(java.lang.String f,
                                    double s)

getFunctionVal

public static double getFunctionVal(java.lang.String f,
                                    java.lang.String v,
                                    java.lang.String x)

getFunctionVal

public static java.lang.String getFunctionVal(java.lang.String fun,
                                              java.lang.String[] var,
                                              java.lang.String resp,
                                              java.lang.String[] vals)
                                       throws MathException

Throws:

MathException

isValid

public static boolean isValid(java.lang.String fun,
                              java.lang.String[] var)

isValid

public static boolean[] isValid(java.lang.String[] fun,
                                java.lang.String[] var)

getDerivative

public static java.lang.String getDerivative(java.lang.String fun,
                                             java.lang.String[] var,
                                             java.lang.String resp)

getPowerSeries

public static java.lang.String getPowerSeries(java.lang.String fun,
                                              java.lang.String v,
                                              java.lang.String cen,
                                              int iter)
                                       throws MathException

Throws:

MathException

tangentLine

public static java.lang.String tangentLine(java.lang.String f,
                                           java.lang.String x,
                                           java.lang.String v)
                                    throws MathException

Throws:

MathException

surfaceArea

public static double surfaceArea(java.lang.String fun,
                                 java.lang.String v1,
                                 java.lang.String v2,
                                 java.lang.String[] bounds)
                          throws MathException

Throws:

MathException

evaluate

public static java.lang.String evaluate(java.lang.String codeString,
                                        java.lang.String function)

evaluate

public static java.lang.String evaluate(java.lang.String codeString,
                                        IAST function)

parse

public static IExpr parse(java.lang.String evalStr,
                          IAST function)

Parse the codeString into an IExpr and if function unequals null, replace all occurences of symbol x in the function with the parsed expression. After that evaluate the given expression.

Parameters:

function -

Returns: