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mXparser is a super easy, rich, fast and highly flexible math expression parser library (parser and evaluator of mathematical expressions / formulas provided as plain text / string). Software delivers easy to use API for JAVA, Android and C# .NET/MONO (Common Language Specification compliant: F#, Visual Basic, C++/CLI). *** If you find the software useful donation is something you might consider: https://mathparser.org/donate/ *** Scalar Scientific Calculator, Charts and Scripts, Scalar Lite: https://play.google.com/store/apps/details?id=org.mathparser.scalar.lite *** Scalar Pro: https://play.google.com/store/apps/details?id=org.mathparser.scalar.pro *** ScalarMath.org: https://scalarmath.org/ *** MathSpace.pl: https://mathspace.pl/ ***

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/*
 * @(#)mXparser.java        5.0.7    2022-08-20
 *
 * MathParser.org-mXparser DUAL LICENSE AGREEMENT as of date 2022-05-22
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package org.mariuszgromada.math.mxparser;

import java.util.ArrayList;
import java.util.List;
import java.util.Random;
import java.util.regex.Pattern;

import org.mariuszgromada.math.mxparser.mathcollection.BinaryRelations;
import org.mariuszgromada.math.mxparser.mathcollection.NumberTheory;
import org.mariuszgromada.math.mxparser.mathcollection.PrimesCache;
import org.mariuszgromada.math.mxparser.mathcollection.ProbabilityDistributions;
import org.mariuszgromada.math.mxparser.parsertokens.BinaryRelation;
import org.mariuszgromada.math.mxparser.parsertokens.BitwiseOperator;
import org.mariuszgromada.math.mxparser.parsertokens.BooleanOperator;
import org.mariuszgromada.math.mxparser.parsertokens.CalculusOperator;
import org.mariuszgromada.math.mxparser.parsertokens.ConstantValue;
import org.mariuszgromada.math.mxparser.parsertokens.Function1Arg;
import org.mariuszgromada.math.mxparser.parsertokens.Function2Arg;
import org.mariuszgromada.math.mxparser.parsertokens.Function3Arg;
import org.mariuszgromada.math.mxparser.parsertokens.FunctionVariadic;
import org.mariuszgromada.math.mxparser.parsertokens.KeyWord;
import org.mariuszgromada.math.mxparser.parsertokens.Operator;
import org.mariuszgromada.math.mxparser.parsertokens.ParserSymbol;
import org.mariuszgromada.math.mxparser.parsertokens.RandomVariable;
import org.mariuszgromada.math.mxparser.parsertokens.Token;
import org.mariuszgromada.math.mxparser.parsertokens.Unit;
/**
 * mXparser class provides usefull methods when parsing, calculating or
 * parameters transforming.
 *
 * @author         Mariusz Gromada
* MathParser.org - mXparser project page
* mXparser on GitHub
* INFIMA place to purchase a commercial MathParser.org-mXparser software license
* [email protected]
* ScalarMath.org - a powerful math engine and math scripting language
* Scalar Lite
* Scalar Pro
* MathSpace.pl
* * @version 5.0.6 * * @see RecursiveArgument * @see Expression * @see Function * @see Constant */ public final class mXparser { /** * mXparser version */ public static final String VERSION = "5.0.7"; public static final String VERSION_CODE_NAME = "Leonis"; public static final String VERSION_NAME = VERSION + " " + VERSION_CODE_NAME; /** * Framework used to compile mXparser */ public static final String BUIT_FOR = "JDK 8"; /** * FOUND / NOT_FOUND * used for matching purposes */ static final int NOT_FOUND = -1; static final int FOUND = 0; /** * Console output string for below methods * * @see #consolePrintln(Object) * @see #consolePrint(Object) */ private static volatile String CONSOLE_OUTPUT = ""; private static volatile String CONSOLE_PREFIX = "[mXparser-v." + VERSION + "] "; private static volatile String CONSOLE_OUTPUT_PREFIX = CONSOLE_PREFIX; private static volatile int CONSOLE_ROW_NUMBER = 1; /** * Prime numbers cache */ public volatile static PrimesCache primesCache; public static final int PRIMES_CACHE_NOT_INITIALIZED = -1; /** * Threads number settings */ private static int THREADS_NUMBER = Runtime.getRuntime().availableProcessors(); /** * Double floating-point precision arithmetic causes * * mXparser provides intelligent ULP rounding to avoid some * type of this errors. */ static volatile boolean ulpRounding = false; /** * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is different than 0.3 * * mXparser provides intelligent canonical rounding to avoid majority * of this errors. * */ static volatile boolean canonicalRounding = true; /** * Indicator marking whether to round final result * to precise integer when result is very close * to integer, solves problems like * sin(pi) = 0 */ static volatile boolean almostIntRounding = true; static final int DEFAULT_MAX_RECURSION_CALLS = 200; /** * Internal limit for counter to avoid infinite loops while calculating * expression defined in the way shown by below examples * * Argument x = new Argument("x = 2*y"); * Argument y = new Argument("y = 2*x"); * x.addDefinitions(y); * y.addDefinitions(x); * * Function f = new Function("f(x) = 2*g(x)"); * Function g = new Function("g(x) = 2*f(x)"); * f.addDefinitions(g); * g.addDefinitions(f); */ static volatile int MAX_RECURSION_CALLS = DEFAULT_MAX_RECURSION_CALLS; /** * List of built-in tokens to remove. */ static volatile List tokensToRemove = new ArrayList(); /** * List of built-in tokens to modify */ static volatile List tokensToModify = new ArrayList(); /** * Indicator whether mXparser operates in radians / degrees mode * true - degrees mode * false - radians mode * * Default false (radians mode) */ static volatile boolean degreesMode = false; /** * Indicator whether user defined tokens should override * built-in tokens. */ static volatile boolean overrideBuiltinTokens = false; /** * Implied multiplication mode */ static volatile boolean impliedMultiplicationMode = true; /** * Internal indicator informing hte parser * that unicode know keywords are enabled * and will be recognized by the parser * as built-in functions or operators */ static volatile boolean unicodeKeyWordsEnabled = true; /** * Internal indicator informing the parser * whether t try to fix the expression String. * For example, situations such as: * "++" change to "+", * "+-" changed tro "-" * "-+" changed tro "-" * "--" changed tro "-" */ static boolean attemptToFixExpStrEnabled = true; /** * Options changeset */ static volatile int optionsChangesetNumber = 0; /** * Indicator whether to call cancel current calculation */ private static volatile boolean cancelCurrentCalculationFlag = false; /** * Empty expression for general help purposes. */ static volatile Expression mXparserExp = new Expression(); /** * Initialization of prime numbers cache. * Cache size according to {@link PrimesCache#DEFAULT_MAX_NUM_IN_CACHE} * @see PrimesCache */ public static void initPrimesCache() { primesCache = new PrimesCache(); } /** * Initialization of prime numbers cache. * @param mximumNumberInCache The maximum integer number that * will be stored in cache. * @see PrimesCache */ public static void initPrimesCache(int mximumNumberInCache) { primesCache = new PrimesCache(mximumNumberInCache); } /** * Initialization of prime numbers cache. * @param primesCache The primes cache object * @see PrimesCache */ public static void initPrimesCache(PrimesCache primesCache) { mXparser.primesCache = primesCache; } /** * Returns true in case when primes cache initialization was successful, * otherwise returns false. * * @return Returns true in case when primes cache initialization was successful, * otherwise returns false. */ public static boolean isInitPrimesCacheSuccessful() { if (primesCache == null) return false; synchronized (primesCache) { return primesCache.isInitSuccessful(); } } /** * Sets {@link mXparser#primesCache} to null */ public static void setNoPrimesCache() { primesCache = null; } /** * Returns maximum integer number in primes cache * @return If primes cache was initialized then maximum number in * primes cache, otherwise {@link mXparser#PRIMES_CACHE_NOT_INITIALIZED} */ public static int getMaxNumInPrimesCache() { if ( primesCache != null ) { synchronized (primesCache) { return primesCache.getMaxNumInCache(); } } else return PRIMES_CACHE_NOT_INITIALIZED; } /** * Gets maximum threads number * * @return Threads number. */ public static int getThreadsNumber() { return THREADS_NUMBER; } /** * Sets default threads number */ public static void setDefaultThreadsNumber() { THREADS_NUMBER = Runtime.getRuntime().availableProcessors(); } /** * Sets threads number * * @param threadsNumber Thread number. */ public static void setThreadsNumber(int threadsNumber) { if (threadsNumber > 0) THREADS_NUMBER = threadsNumber; } /** * Calculates function f(x0) (given as expression) assigning Argument x = x0; * * * @param f the expression * @param x the argument * @param x0 the argument value * * @return f.calculate() * * @see Expression */ public static double getFunctionValue(Expression f, Argument x, double x0) { x.setArgumentValue(x0); return f.calculate(); } /** * Converts List of double to double[] * * @param numbers the numbers list * * @return numbers array */ public static double[] arrayList2double(List numbers) { if (numbers == null) return null; int size = numbers.size(); double[] newNumbers = new double[size]; for (int i = 0; i < size; i++) newNumbers[i] = numbers.get(i).doubleValue(); return newNumbers; } /** * Returns array of double values of the function f(i) * calculated on the range: i = from to i = to by step = delta * * @param f Function expression * @param index Index argument * @param from 'from' value * @param to 'to' value * @param delta 'delta' step definition * @return Array of function values */ public static double[] getFunctionValues(Expression f, Argument index, double from, double to, double delta) { if ( (Double.isNaN(delta) ) || (Double.isNaN(from) ) || (Double.isNaN(to) ) || (delta == 0) ) return null; int n = 0; double[] values; if ( (to >= from) && (delta > 0) ) { for (double i = from; i < to; i+=delta) n++; n++; values = new double[n]; int j = 0; for (double i = from; i < to; i+=delta) { values[j] = getFunctionValue(f, index, i); j++; } values[j] = getFunctionValue(f, index, to); } else if ( (to <= from) && (delta < 0) ) { for (double i = from; i > to; i+=delta) n++; n++; values = new double[n]; int j = 0; for (double i = from; i > to; i+=delta) { values[j] = getFunctionValue(f, index, i); j++; } values[j] = getFunctionValue(f, index, to); } else if (from == to) { n = 1; values = new double[n]; values[0] = getFunctionValue(f, index, from); } else values = null; return values; } /** * Modifies random generator used by the ProbabilityDistributions class. * * @param randomGenerator Random generator. * @see ProbabilityDistributions * @see ProbabilityDistributions#randomGenerator */ public static void setRandomGenerator(Random randomGenerator) { if (randomGenerator != null) ProbabilityDistributions.randomGenerator = randomGenerator; } /** * Sets comparison mode to EXACT. * @see BinaryRelations */ public static void setExactComparison() { BinaryRelations.setExactComparison(); } /** * Sets comparison mode to EPSILON. * @see BinaryRelations */ public static void setEpsilonComparison() { BinaryRelations.setEpsilonComparison(); } /** * Sets epsilon value. * @param epsilon Epsilon value (grater than 0). * * @see #setEpsilonComparison() * @see BinaryRelations */ public static void setEpsilon(double epsilon) { BinaryRelations.setEpsilon(epsilon); } /** * Sets default epsilon value. * * @see #setEpsilonComparison() * @see BinaryRelations#DEFAULT_COMPARISON_EPSILON * @see BinaryRelations */ public static void setDefaultEpsilon() { BinaryRelations.setDefaultEpsilon(); } /** * Returns current epsilon value. * @return Returns current epsilon value. * * @see #setEpsilonComparison() * @see BinaryRelations */ public static double getEpsilon() { return BinaryRelations.getEpsilon(); } /** * Checks if epsilon comparison mode is active; * @return True if epsilon mode is active, otherwise returns false. * @see #setEpsilonComparison() * @see #setExactComparison() * @see BinaryRelations */ public static boolean checkIfEpsilonMode() { return BinaryRelations.checkIfEpsilonMode(); } /** * Checks if exact comparison mode is active; * @return True if exact mode is active, otherwise returns false. * @see #setEpsilonComparison() * @see #setExactComparison() * @see BinaryRelations */ public static boolean checkIfExactMode() { return BinaryRelations.checkIfExactMode(); } /** * Enables ULP rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent ULP rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Using this mode 0.1 + 0.1 + 0.1 = 0.3 */ public static void enableUlpRounding() { ulpRounding = true; } /** * Disables ULP rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent ULP rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Disabling this mode 0.1 + 0.1 + 0.1 will be slightly different than 0.3. */ public static void disableUlpRounding() { ulpRounding = false; } /** * Enables / disables ULP rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent ULP rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Disabling this mode 0.1 + 0.1 + 0.1 will be slightly different than 0.3. * * @param ulpRoundingState True to enable, false to disable */ public static void setUlpRounding(boolean ulpRoundingState) { ulpRounding = ulpRoundingState; } /** * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent ULP rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Using this mode 0.1 + 0.1 + 0.1 = 0.3 * * @return True if ULP rounding is enabled, otherwise false. */ public static boolean checkIfUlpRounding() { return ulpRounding; } /** * Enables canonical rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent canonical rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Using this mode 2.5 - 2.2 = 0.3 */ public static void enableCanonicalRounding() { canonicalRounding = true; } /** * Disables canonical rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent canonical rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Using this mode 2.5 - 2.2 = 0.3 */ public static void disableCanonicalRounding() { canonicalRounding = false; } /** * Enables / disables canonical rounding. * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent ULP rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Disabling this mode 0.1 + 0.1 + 0.1 will be slightly different than 0.3. * * @param canonicalRoundingState True to enable, false to disable */ public static void setCanonicalRounding(boolean canonicalRoundingState) { canonicalRounding = canonicalRoundingState; } /** * Double floating-point precision arithmetic causes * rounding problems, i.e. 0.1 + 0.1 + 0.1 is slightly different than 0.3, * additionally doubles are having a lot of advantages * providing flexible number representation regardless of * number size. mXparser is fully based on double numbers * and that is why is providing intelligent canonical rounding * to minimize misleading results. By default this option is * enabled resulting in automatic rounding only in some cases. * Using this mode 2.5 - 2.2 = 0.3 * * @return True if Canonical rounding is enabled, otherwise false. */ public static boolean checkIfCanonicalRounding() { return canonicalRounding; } /** * Enables almost integer rounding option causing * rounding final calculation result to precise integer * if and only if result is very close to integer. * Very close condition depends on epsilon. * * @see mXparser#setEpsilon(double) * @see mXparser#getEpsilon() * @see Expression#calculate() */ public static void enableAlmostIntRounding() { almostIntRounding = true; } /** * Disables almost integer rounding option causing * rounding final calculation result to precise integer * if and only if result is very close to integer. * Very close condition depends on epsilon. * * @see mXparser#setEpsilon(double) * @see mXparser#getEpsilon() * @see Expression#calculate() */ public static void disableAlmostIntRounding() { almostIntRounding = false; } /** * Enables / disables almost integer rounding option causing * rounding final calculation result to precise integer * if and only if result is very close to integer. * Very close condition depends on epsilon. * * @param almostIntRoundingState True to enable, false to disable */ public static void setAlmostIntRounding(boolean almostIntRoundingState) { almostIntRounding = almostIntRoundingState; } /** * Returns state of almost integer rounding option causing * rounding final calculation result to precise integer * if and only if result is very close to integer. * Very close condition depends on epsilon. * * @return true if option enabled, false otherwise * * @see mXparser#setEpsilon(double) * @see mXparser#getEpsilon() * @see Expression#calculate() */ public static boolean checkIfAlmostIntRounding() { return almostIntRounding; } /** * Internal limit to avoid infinite loops while calculating * expression defined in the way shown by below examples. * * Argument x = new Argument("x = 2*y"); * Argument y = new Argument("y = 2*x"); * x.addDefinitions(y); * y.addDefinitions(x); * * Function f = new Function("f(x) = 2*g(x)"); * Function g = new Function("g(x) = 2*f(x)"); * f.addDefinitions(g); * g.addDefinitions(f); * * Currently does not affect properly defined recursive mode. * * @param maxAllowedRecursionDepth Maximum number of allowed recursion calls */ public static void setMaxAllowedRecursionDepth(int maxAllowedRecursionDepth) { MAX_RECURSION_CALLS = maxAllowedRecursionDepth; } /** * Internal limit to avoid infinite loops while calculating * expression defined in the way shown by below examples. * * Argument x = new Argument("x = 2*y"); * Argument y = new Argument("y = 2*x"); * x.addDefinitions(y); * y.addDefinitions(x); * * Function f = new Function("f(x) = 2*g(x)"); * Function g = new Function("g(x) = 2*f(x)"); * f.addDefinitions(g); * g.addDefinitions(f); * * Currently does not affect properly defined recursive mode. * * @return Max allowed recursion calls */ public static int getMaxAllowedRecursionDepth() { return MAX_RECURSION_CALLS; } /** * Set mXparser to operate in radians mode for * trigonometric functions */ public static void setRadiansMode() { degreesMode = false; } /** * Set mXparser to operate in degrees mode for * trigonometric functions */ public static void setDegreesMode() { degreesMode = true; } /** * Checks whether mXparser operates in radians mode for * trigonometric functions. * * @return true - if radians mode, false - otherwise */ public static boolean checkIfRadiansMode() { return !degreesMode; } /** * Checks whether mXparser operates in degrees mode for * trigonometric functions. * * @return true - if degrees mode, false - otherwise */ public static boolean checkIfDegreesMode() { return degreesMode; } /** * Sets implied multiplication */ public static void enableImpliedMultiplicationMode() { impliedMultiplicationMode = true; mXparserExp.enableImpliedMultiplicationMode(); } /** * Disables implied multiplication */ public static void disableImpliedMultiplicationMode() { impliedMultiplicationMode = false; mXparserExp.disableImpliedMultiplicationMode(); } /** * Gets implied multiplication status * * @return true if implied multiplication is enabled, * otherwise returns false. */ public static boolean checkIfImpliedMultiplicationMode() { return impliedMultiplicationMode; } /** * Enables unicode built-in parser keywords, this flag * informs the parser that built-in unicode keywords * are supported and will be recognized as functions or * operators. */ public static void enableUnicodeBuiltinKeyWordsMode() { unicodeKeyWordsEnabled = true; mXparserExp.enableUnicodeBuiltinKeyWordsMode(); } /** * Disables unicode built-in parser keywords, this flag * informs the parser that built-in unicode keywords * are not supported and will not be recognized as functions or * operators. */ public static void disableUnicodeBuiltinKeyWordsMode() { unicodeKeyWordsEnabled = false; mXparserExp.disableUnicodeBuiltinKeyWordsMode(); } /** * Gets unicode built-in parser keywords mode * * @return true if unicode built-in parser keywords is enabled, * otherwise returns false. */ public static boolean checkIfUnicodeBuiltinKeyWordsMode() { return unicodeKeyWordsEnabled; } /** * Enables attempt to fix the expression String. * For example, situations such as: * "++" change to "+", * "+-" changed tro "-" * "-+" changed tro "-" * "--" changed tro "-" */ public static void enableAttemptToFixExpStrMode() { attemptToFixExpStrEnabled = true; } /** * Disables attempt to fix the expression String. * For example, situations such as: * "++" change to "+", * "+-" changed tro "-" * "-+" changed tro "-" * "--" changed tro "-" */ public static void disableAttemptToFixExpStrMode() { attemptToFixExpStrEnabled = false; } /** * Gets attempt to fix expression string mode * * @return true attempt to fix expression string mode is enabled, * otherwise returns false. */ public static boolean checkIfAttemptToFixExpStrMode() { return attemptToFixExpStrEnabled; } /** * Sets initial search size for the toFraction method * * @param n initial search size, has to be non-zero positive. * @see NumberTheory#toFraction(double) */ public static void setToFractionInitSearchSize(long n) { NumberTheory.setToFractionInitSearchSize(n); } /** * Gets initial search size used by the toFraction method * * @return initial search size used by the toFraction method * @see NumberTheory#toFraction(double) */ public static long getToFractionInitSearchSize() { return NumberTheory.getToFractionInitSearchSize(); } /** * Removes built-in tokens form the list of tokens recognized by the parsers. * Procedure affects only tokens classified to built-in functions, built-in * constants, built-in units, built-in random variables. * * @param tokens List of tokens to remove. */ public static void removeBuiltinTokens(String... tokens) { if (tokens == null) return; synchronized (tokensToRemove) { for (String token : tokens) if (token != null) if (token.length() > 0) if (!tokensToRemove.contains(token)) tokensToRemove.add(token); optionsChangesetNumber++; } } /** * Un-marks tokens previously marked to be removed. * @param tokens List of tokens to un-mark. */ public static void unremoveBuiltinTokens(String... tokens) { if (tokens == null) return; if (tokens.length == 0) return; if (tokensToRemove.size() == 0) return; synchronized (tokensToRemove) { for (String token : tokens) if (token != null) tokensToRemove.remove(token); optionsChangesetNumber++; } } /** * Un-marks all tokens previously marked to be removed. */ public static void unremoveAllBuiltinTokens() { synchronized (tokensToRemove) { tokensToRemove.clear(); optionsChangesetNumber++; } } /** * Returns current list of tokens marked to be removed. * @return Current list of tokens marked to be removed */ public static String[] getBuiltinTokensToRemove() { synchronized (tokensToRemove) { int tokensNum = tokensToRemove.size(); String[] tokensToRemoveArray = new String[tokensNum]; for (int i = 0; i < tokensNum; i++) tokensToRemoveArray[i] = tokensToRemove.get(i); return tokensToRemoveArray; } } /** * Method to change definition of built-in token - more precisely * using this method allows to modify token string recognized by the parser * (i.e. sin(x) to sinus(x)). * Procedure affects only tokens classified to built-in functions, built-in * constants, built-in units, built-in random variables. * @param currentToken Current token name * @param newToken New token name */ public static void modifyBuiltinToken(String currentToken, String newToken) { if (currentToken == null) return; if (currentToken.length() == 0) return; if (newToken == null) return; if (newToken.length() == 0) return; synchronized (tokensToModify) { for (TokenModification tm : tokensToModify) if (tm.currentToken.equals(currentToken)) return; TokenModification tma = new TokenModification(); tma.currentToken = currentToken; tma.newToken = newToken; tma.newTokenDescription = null; tokensToModify.add(tma); optionsChangesetNumber++; } } /** * Method to change definition of built-in token - more precisely * using this method allows to modify token string recognized by the parser * (i.e. sin(x) to sinus(x)). * Procedure affects only tokens classified to built-in functions, built-in * constants, built-in units, built-in random variables. * @param currentToken Current token name * @param newToken New token name * @param newTokenDescription New token description (if null the previous one will be used) */ public static void modifyBuiltinToken(String currentToken, String newToken, String newTokenDescription) { if (currentToken == null) return; if (currentToken.length() == 0) return; if (newToken == null) return; if (newToken.length() == 0) return; synchronized (tokensToModify) { for (TokenModification tm : tokensToModify) if (tm.currentToken.equals(currentToken)) return; TokenModification tma = new TokenModification(); tma.currentToken = currentToken; tma.newToken = newToken; tma.newTokenDescription = newTokenDescription; tokensToModify.add(tma); optionsChangesetNumber++; } } /** * Un-marks tokens previously marked to be modified. * @param currentOrNewTokens List of tokens to be un-marked (current or modified). */ public static void unmodifyBuiltinTokens(String... currentOrNewTokens) { if (currentOrNewTokens == null) return; if (currentOrNewTokens.length == 0) return; if (tokensToModify.size() == 0) return; synchronized (tokensToModify) { List toRemove = new ArrayList(); for (String token : currentOrNewTokens) if (token != null) if (token.length() > 0) { for (TokenModification tm : tokensToModify) if ( (token.equals(tm.currentToken)) || (token.equals(tm.newToken)) ) toRemove.add(tm); } for (TokenModification tm : toRemove) tokensToModify.remove(tm); optionsChangesetNumber++; } } /** * Un-marks all tokens previously marked to be modified. */ public static void unmodifyAllBuiltinTokens() { synchronized (tokensToModify) { tokensToModify.clear(); optionsChangesetNumber++; } } /** * Return details on tokens marked to be modified. * @return String[i][0] - current token, String[i][1] - new token, * String[i][2] - new token description. */ public static String[][] getBuiltinTokensToModify() { synchronized (tokensToModify) { int tokensNum = tokensToModify.size(); String[][] tokensToModifyArray = new String[tokensNum][3]; for (int i = 0; i < tokensNum; i++) { TokenModification tm = tokensToModify.get(i); tokensToModifyArray[i][0] = tm.currentToken; tokensToModifyArray[i][1] = tm.newToken; tokensToModifyArray[i][2] = tm.newTokenDescription; } return tokensToModifyArray; } } /** * Sets mXparser to override built-in tokens * by user defined tokens. */ public static synchronized void setToOverrideBuiltinTokens() { overrideBuiltinTokens = true; optionsChangesetNumber++; } /** * Sets mXparser not to override built-in tokens * by user defined tokens. */ public static synchronized void setNotToOverrideBuiltinTokens() { overrideBuiltinTokens = false; optionsChangesetNumber++; } /** * Checks whether mXparser is set to override built-in tokens. * * @return True if mXparser is set to override built-in tokens by * user defined tokens, otherwise false. */ public static boolean checkIfsetToOverrideBuiltinTokens() { return overrideBuiltinTokens; } /** * Sets default mXparser options * */ public static synchronized void setDefaultOptions() { enableUlpRounding(); enableAlmostIntRounding(); setMaxAllowedRecursionDepth(DEFAULT_MAX_RECURSION_CALLS); setNotToOverrideBuiltinTokens(); unmodifyAllBuiltinTokens(); setRadiansMode(); resetCancelCurrentCalculationFlag(); setDefaultEpsilon(); setEpsilonComparison(); setToFractionInitSearchSize(NumberTheory.DEFAULT_TO_FRACTION_INIT_SEARCH_SIZE); enableImpliedMultiplicationMode(); enableUnicodeBuiltinKeyWordsMode(); enableAttemptToFixExpStrMode(); optionsChangesetNumber++; } /** * Returns token type description. * * @param tokenTypeId Token type id * @return String representing token type description. */ public static String getTokenTypeDescription(int tokenTypeId) { String type = ""; switch (tokenTypeId) { case ParserSymbol.TYPE_ID: type = ParserSymbol.TYPE_DESC; break; case ParserSymbol.NUMBER_TYPE_ID: type = "Number"; break; case Operator.TYPE_ID: type = Operator.TYPE_DESC; break; case BooleanOperator.TYPE_ID: type = BooleanOperator.TYPE_DESC; break; case BinaryRelation.TYPE_ID: type = BinaryRelation.TYPE_DESC; break; case Function1Arg.TYPE_ID: type = Function1Arg.TYPE_DESC; break; case Function2Arg.TYPE_ID: type = Function2Arg.TYPE_DESC; break; case Function3Arg.TYPE_ID: type = Function3Arg.TYPE_DESC; break; case FunctionVariadic.TYPE_ID: type = FunctionVariadic.TYPE_DESC; break; case CalculusOperator.TYPE_ID: type = CalculusOperator.TYPE_DESC; break; case RandomVariable.TYPE_ID: type = RandomVariable.TYPE_DESC; break; case ConstantValue.TYPE_ID: type = ConstantValue.TYPE_DESC; break; case Argument.TYPE_ID: type = Argument.TYPE_DESC; break; case RecursiveArgument.TYPE_ID_RECURSIVE: type = RecursiveArgument.TYPE_DESC_RECURSIVE; break; case Function.TYPE_ID: type = Function.TYPE_DESC; break; case Constant.TYPE_ID: type = Constant.TYPE_DESC; break; case Unit.TYPE_ID: type = Unit.TYPE_DESC; break; case BitwiseOperator.TYPE_ID: type = BitwiseOperator.TYPE_DESC; break; } return type; } /** * Converts integer number to hex string (plain text) * * @param number Integer number * @return Hex string (i.e. FF23) */ public static String numberToHexString(int number) { return Integer.toHexString(number); } /** * Converts long number to hex string (plain text) * * @param number Long number * @return Hex string (i.e. FF23) */ public static String numberToHexString(long number) { return Long.toHexString(number); } /** * Converts (long)double number to hex string (plain text) * * @param number Double number * @return Hex string (i.e. FF23) */ public static String numberToHexString(double number) { return numberToHexString((long)number); } /** * Converts hex string into ASCII string, where each letter is * represented by two hex digits (byte) from the hex string. * * @param hexString Hex string (i.e. 48656C6C6F) * @return ASCII string (i.e. '48656C6C6F' = 'Hello') */ public static String hexString2AsciiString(String hexString) { String hexByteStr; int hexByteInt; String asciiString = ""; for (int i = 0; i < hexString.length(); i+=2) { hexByteStr = hexString.substring(i, i+2); hexByteInt = Integer.parseInt(hexByteStr, 16); asciiString = asciiString + (char)hexByteInt; } return asciiString; } /** * Converts number into ASCII string, where each letter is * represented by two hex digits (byte) from the hex representation * of the original number * * @param number Integer number (i.e. 310939249775 = '48656C6C6F') * @return ASCII string (i.e. '48656C6C6F' = 'Hello') */ public static String numberToAsciiString(int number) { return hexString2AsciiString( numberToHexString(number) ); } /** * Converts number into ASCII string, where each letter is * represented by two hex digits (byte) from the hex representation * of the original number * * @param number Long number (i.e. 310939249775 = '48656C6C6F') * @return ASCII string (i.e. '48656C6C6F' = 'Hello') */ public static String numberToAsciiString(long number) { return hexString2AsciiString( numberToHexString(number) ); } /** * Converts (long)double number into ASCII string, where each letter is * represented by two hex digits (byte) from the hex representation * of the original number casted to long type. * * @param number Double number (i.e. 310939249775 = '48656C6C6F') * @return ASCII string (i.e. '48656C6C6F' = 'Hello') */ public static String numberToAsciiString(double number) { return hexString2AsciiString( numberToHexString(number) ); } /** * Other base (base between 1 and 36) number literal conversion to decimal number. * * @param numberLiteral Number literal in given numeral system with base between * 1 and 36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, * 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, * 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, * 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z * @param numeralSystemBase Numeral system base, between 1 and 36 * @return Decimal number after conversion. If conversion was not * possible the Double.NaN is returned. */ public static double convOthBase2Decimal(String numberLiteral, int numeralSystemBase) { return NumberTheory.convOthBase2Decimal(numberLiteral, numeralSystemBase); } /** * Other base (base between 1 and 36) number literal conversion to decimal number. * Base specification included in number literal. * * Examples: 2 for b2.1001 or b.1001, 1 for b1.111, 23 for b23.123afg * 16 for b16.123acdf or h.123acdf. * * @param numberLiteral Number literal string. * * Base format: b1. b2. b. b3. b4. b5. b6. b7. b8. o. b9. b10. b11. b12. * b13. b14. b15. b16. h. b17. b18. b19. b20. b21. b22. b23. b24. b25. b26. * b27. b28. b29. b30. b31. b32. b33. b34. b35. b36. * * Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, * 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, * 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z * * @return Decimal number after conversion. If conversion was not * possible the Double.NaN is returned. */ public static double convOthBase2Decimal(String numberLiteral) { return NumberTheory.convOthBase2Decimal(numberLiteral); } /** * Other base to decimal conversion. * * @param numeralSystemBase Numeral system base has to be above 0. * @param digits List of digits * @return Number after conversion. If conversion is not possible then * Double.NaN is returned. */ public static double convOthBase2Decimal(int numeralSystemBase, int... digits) { return NumberTheory.convOthBase2Decimal(numeralSystemBase, digits); } /** * Other base to decimal conversion. * * @param numeralSystemBase Numeral system base has to be above 0. * @param digits List of digits * @return Number after conversion. If conversion is not possible then * Double.NaN is returned. */ public static double convOthBase2Decimal(double numeralSystemBase, double... digits) { return NumberTheory.convOthBase2Decimal(numeralSystemBase, digits); } /** * Decimal number to other numeral system conversion with base * between 1 and 36. * * @param decimalNumber Decimal number * @param numeralSystemBase Numeral system base between 1 and 36 * @return Number literal representing decimal number in * given numeral numeral system. Digits * 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, * 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, * 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, * 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, * 33:X, 34:Y, 35:Z. If conversion was not possible * the "NaN" string is returned. */ public static String convDecimal2OthBase(double decimalNumber, int numeralSystemBase) { return NumberTheory.convDecimal2OthBase(decimalNumber, numeralSystemBase); } /** * Decimal number to other numeral system conversion with base * between 1 and 36. * * @param decimalNumber Decimal number * @param numeralSystemBase Numeral system base between 1 and 36 * @param format If 1 then always bxx. is used, i.e. b1. or b16. * If 2 then for binary b. is used, for octal o. is used, * for hexadecimal h. is used, otherwise bxx. is used * where xx is the numeral system base specification. * * @return Number literal representing decimal number in * given numeral numeral system. * * Base format: b1. b2. b. b3. b4. b5. b6. b7. b8. o. b9. b10. b11. b12. * b13. b14. b15. b16. h. b17. b18. b19. b20. b21. b22. b23. b24. b25. b26. * b27. b28. b29. b30. b31. b32. b33. b34. b35. b36. * * Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, * 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, * 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z * * If conversion was not possible the "NaN" string is returned. */ public static String convDecimal2OthBase(double decimalNumber, int numeralSystemBase, int format) { return NumberTheory.convDecimal2OthBase(decimalNumber, numeralSystemBase, format); } /** * Converts double value to its fraction representation. * * @param value Value to be converted * * @return Array representing fraction. Sign at index 0, * numerator at index 1, denominator at index 2. * If conversion is not possible then Double.NaN is * assigned to all the fields. */ public static double[] toFraction(double value) { return NumberTheory.toFraction(value); } /** * Converts double value to its mixed fraction representation. * * @param value Value to be converted * * @return Array representing fraction. * Sign at index 0, whole number at index 1, * numerator at index 2, denominator at index 3. * If conversion is not possible then Double.NaN is * assigned to both numerator and denominator. */ public static double[] toMixedFraction(double value) { return NumberTheory.toMixedFraction(value); } /** * Converts array representing fraction to fraction string representation. * * @param fraction Array representing fraction (including mix fractions) * @return String representation of fraction. * * @see NumberTheory#toFraction(double) * @see NumberTheory#toMixedFraction(double) */ public static String fractionToString(double[] fraction) { return NumberTheory.fractionToString(fraction); } /** * Converts number to its fraction string representation. * * @param value Given number * @return String representation of fraction. * * @see NumberTheory#toFraction(double) * @see NumberTheory#fractionToString(double[]) */ public static String toFractionString(double value) { return NumberTheory.toFractionString(value); } /** * Converts number to its mixed fraction string representation. * * @param value Given number * @return String representation of fraction. * * @see NumberTheory#toMixedFraction(double) * @see NumberTheory#fractionToString(double[]) */ public static String toMixedFractionString(double value) { return NumberTheory.toMixedFractionString(value); } /** * Prints object.toString to the Console + new line * * @param o Object to print */ public static void consolePrintln(Object o) { synchronized (CONSOLE_OUTPUT) { if ((CONSOLE_ROW_NUMBER == 1) && (CONSOLE_OUTPUT.equals(""))) { System.out.print(CONSOLE_PREFIX); CONSOLE_OUTPUT = CONSOLE_PREFIX; } System.out.println(o); CONSOLE_ROW_NUMBER++; System.out.print(CONSOLE_PREFIX); CONSOLE_OUTPUT = CONSOLE_OUTPUT + o + "\n" + CONSOLE_OUTPUT_PREFIX; } } /** * Prints array of strings * * @param stringArray array of strinfs */ public static void consolePrintln(String[] stringArray) { if (stringArray == null) { consolePrintln("null"); return; } for (String s : stringArray) consolePrintln(s); } /** * Prints new line to the Console, no new line * */ public static void consolePrintln() { synchronized (CONSOLE_OUTPUT) { if ((CONSOLE_ROW_NUMBER == 1) && (CONSOLE_OUTPUT.equals(""))) { System.out.print(CONSOLE_PREFIX); CONSOLE_OUTPUT = CONSOLE_PREFIX; } System.out.println(); CONSOLE_ROW_NUMBER++; System.out.print(CONSOLE_PREFIX); CONSOLE_OUTPUT = CONSOLE_OUTPUT + "\n" + CONSOLE_OUTPUT_PREFIX; } } /** * Prints object.toString to the Console * * @param o Object to print */ public static void consolePrint(Object o) { synchronized (CONSOLE_OUTPUT) { if ((CONSOLE_ROW_NUMBER == 1) && (CONSOLE_OUTPUT.equals(""))) { System.out.print(CONSOLE_PREFIX); CONSOLE_OUTPUT = CONSOLE_PREFIX; } System.out.print(o); CONSOLE_OUTPUT = CONSOLE_OUTPUT + o; } } public static void consolePrintSettings(String prefix) { mXparser.consolePrintln(prefix + "checkIfCanonicalRounding = " + mXparser.checkIfCanonicalRounding()); mXparser.consolePrintln(prefix + "checkIfAlmostIntRounding = " + mXparser.checkIfAlmostIntRounding()); mXparser.consolePrintln(prefix + "checkIfUlpRounding = " + mXparser.checkIfUlpRounding()); mXparser.consolePrintln(prefix + "checkIfRadiansMode = " + mXparser.checkIfRadiansMode()); mXparser.consolePrintln(prefix + "checkIfDegreesMode = " + mXparser.checkIfDegreesMode()); mXparser.consolePrintln(prefix + "checkIfExactMode = " + mXparser.checkIfExactMode()); mXparser.consolePrintln(prefix + "checkIfEpsilonMode = " + mXparser.checkIfEpsilonMode()); mXparser.consolePrintln(prefix + "getEpsilon = " + mXparser.getEpsilon()); mXparser.consolePrintln(prefix + "getMaxAllowedRecursionDepth = " + mXparser.getMaxAllowedRecursionDepth()); mXparser.consolePrintln(prefix + "getMaxNumInPrimesCache = " + mXparser.getMaxNumInPrimesCache()); mXparser.consolePrintln(prefix + "getToFractionInitSearchSize = " + mXparser.getToFractionInitSearchSize()); mXparser.consolePrintln(prefix + "checkIfsetToOverrideBuiltinTokens = " + mXparser.checkIfsetToOverrideBuiltinTokens()); mXparser.consolePrintln(prefix + "Java version = " + System.getProperty("java.version")); } public static void consolePrintSettings() { consolePrintSettings(""); } /** * Resets console output string, console output * string is being built by consolePrintln(), consolePrint(). * * @see mXparser#consolePrint(Object) * @see mXparser#consolePrintln(Object) * @see mXparser#consolePrintln() * @see mXparser#resetConsoleOutput() */ public static void resetConsoleOutput() { synchronized (CONSOLE_OUTPUT) { CONSOLE_OUTPUT = ""; CONSOLE_ROW_NUMBER = 1; } } /** * Sets default console prefix. */ public static void setDefaultConsolePrefix() { synchronized (CONSOLE_PREFIX) { CONSOLE_PREFIX = "[mXparser-v." + VERSION + "] "; } } /** * Sets default console output string prefix. */ public static void setDefaultConsoleOutputPrefix() { synchronized (CONSOLE_OUTPUT_PREFIX) { CONSOLE_OUTPUT_PREFIX = "[mXparser-v." + VERSION + "] "; } } /** * Sets console prefix. * * @param consolePrefix String containing console prefix definition. */ public static void setConsolePrefix(String consolePrefix) { synchronized (CONSOLE_PREFIX) { CONSOLE_PREFIX = consolePrefix; } } /** * Sets console output string prefix. * * @param consoleOutputPrefix String containing console output prefix definition. */ public static void setConsoleOutputPrefix(String consoleOutputPrefix) { synchronized (CONSOLE_OUTPUT_PREFIX) { CONSOLE_OUTPUT_PREFIX = consoleOutputPrefix; } } /** * Returns console output string, console output string * is being built by consolePrintln(), consolePrint(). * * @return Console output string * * @see mXparser#consolePrint(Object) * @see mXparser#consolePrintln(Object) * @see mXparser#consolePrintln() * @see mXparser#resetConsoleOutput() */ public static String getConsoleOutput() { return CONSOLE_OUTPUT; } /** * General mXparser expression help * * @return String with all general help content */ public static String getHelp() { synchronized (mXparserExp) { return mXparserExp.getHelp(); } } /** * General mXparser expression help - in-line key word searching * @param word Key word to be searched * @return String with all help content * lines containing given keyword */ public static String getHelp(String word) { synchronized (mXparserExp) { return mXparserExp.getHelp(word); } } /** * Prints all help content. */ public static void consolePrintHelp() { System.out.println(getHelp()); } /** * Prints filtered help content. * @param word Key word. */ public static void consolePrintHelp(String word) { System.out.println(getHelp(word)); } /** * Returns list of key words known to the parser * * @return List of keywords known to the parser. * * @see KeyWord * @see KeyWord#wordTypeId * @see mXparser#getHelp() */ public static List getKeyWords() { synchronized (mXparserExp) { return mXparserExp.getKeyWords(); } } /** * Returns list of key words known to the parser * * @param query Give any string to filter list of key words against this string. * User more precise syntax: str=tokenString, desc=tokenDescription, * syn=TokenSyntax, sin=tokenSince, wid=wordId, tid=wordTypeId * to narrow the result. * * @return List of keywords known to the parser filter against query string. * * @see KeyWord * @see KeyWord#wordTypeId * @see mXparser#getHelp(String) */ public static List getKeyWords(String query) { synchronized (mXparserExp) { return mXparserExp.getKeyWords(query); } } /** * Function used to introduce some compatibility * between JAVA and C# while regexp matching. * * @param str String * @param pattern Pattern (regexp) * * @return True if pattern matches entirely, False otherwise */ public static boolean regexMatch(String str, String pattern){ return Pattern.matches(pattern, str); } /** * Prints tokens to the console. * @param tokens Tokens list. * * @see Expression#getCopyOfInitialTokens() * @see Token */ public static void consolePrintTokens(List tokens) { Expression.showTokens(tokens); } /** * Prints tokens to the console. * @param tokens Tokens list. * * @see Expression#getCopyOfInitialTokens() * @see Token */ public static void consolePrint(List tokens) { mXparser.consolePrintTokens(tokens); } /** * Prints tokens to the console. * @param tokens Tokens list. * * @see Expression#getCopyOfInitialTokens() * @see Token */ public static void consolePrintln(List tokens) { mXparser.consolePrintTokens(tokens); mXparser.consolePrintln(); } /** * The terms of MathParser.org-mXparser DUAL LICENSE AGREEMENT. */ public static final String LICENSE = License.MATHPARSERORG_MXPARSER_DUAL_LICENSE_AGREEMENT; /** * Prints to the console the terms of MathParser.org-mXparser DUAL LICENSE AGREEMENT */ public static void consolePrintLicense() { License.consolePrintLicense(); } /** * Gets license info * * @return license info as string */ public static String getLicense() { return LICENSE; } /** * Waits given number of milliseconds * * @param n Number of milliseconds */ public static void wait (int n){ long t0,t1; t0=System.currentTimeMillis(); do{ t1=System.currentTimeMillis(); } while (t1-t0




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