/usr/include/libqalculate/Function.h is in libqalculate-dev 0.9.7-9.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Qalculate
Copyright (C) 2003-2007 Niklas Knutsson (nq@altern.org)
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
*/
#ifndef FUNCTION_H
#define FUNCTION_H
#include <libqalculate/ExpressionItem.h>
#include <libqalculate/includes.h>
/** @file */
///Argument types
typedef enum {
ARGUMENT_TYPE_FREE,
ARGUMENT_TYPE_SYMBOLIC,
ARGUMENT_TYPE_TEXT,
ARGUMENT_TYPE_DATE,
ARGUMENT_TYPE_FILE,
ARGUMENT_TYPE_INTEGER,
ARGUMENT_TYPE_NUMBER,
ARGUMENT_TYPE_VECTOR,
ARGUMENT_TYPE_MATRIX,
ARGUMENT_TYPE_EXPRESSION_ITEM,
ARGUMENT_TYPE_FUNCTION,
ARGUMENT_TYPE_UNIT,
ARGUMENT_TYPE_BOOLEAN,
ARGUMENT_TYPE_VARIABLE,
ARGUMENT_TYPE_ANGLE,
ARGUMENT_TYPE_SET,
ARGUMENT_TYPE_DATA_OBJECT,
ARGUMENT_TYPE_DATA_PROPERTY
} ArgumentType;
///Predefined max and min values for number and integer arguments.
typedef enum {
ARGUMENT_MIN_MAX_NONE,
ARGUMENT_MIN_MAX_POSITIVE,
ARGUMENT_MIN_MAX_NONZERO,
ARGUMENT_MIN_MAX_NONNEGATIVE,
ARGUMENT_MIN_MAX_NEGATIVE
} ArgumentMinMaxPreDefinition;
/// Type of mathematical function
typedef enum {
/// class MathFunction
SUBTYPE_FUNCTION,
/// class UseFunction
SUBTYPE_USER_FUNCTION,
/// class DataSet
SUBTYPE_DATA_SET
} FunctionSubtype;
/// Abstract base class for mathematical functions.
/**
* A mathemical function, subclassed from MathFunction, should at least reimplement
* calculate(MathStructure&, const MathStructure&, const EvaluationOptions&) and copy(), and preferably also the represents* functions.
* Argument definitions should be added in the constructor.
*/
class MathFunction : public ExpressionItem {
protected:
int argc;
int max_argc;
vector<string> default_values;
Sgi::hash_map<size_t, Argument*> argdefs;
size_t last_argdef_index;
bool testArguments(MathStructure &vargs);
virtual MathStructure createFunctionMathStructureFromVArgs(const MathStructure &vargs);
virtual MathStructure createFunctionMathStructureFromSVArgs(vector<string> &svargs);
string scondition;
public:
MathFunction(string name_, int argc_, int max_argc_ = 0, string cat_ = "", string title_ = "", string descr_ = "", bool is_active = true);
MathFunction(const MathFunction *function);
MathFunction();
virtual ~MathFunction();
virtual ExpressionItem *copy() const = 0;
virtual void set(const ExpressionItem *item);
virtual int type() const;
/** Returns the subtype of the mathematical function, corresponding to which subsubclass the object belongs to.
*
* @returns ::FunctionSubtype.
*/
virtual int subtype() const;
bool testArgumentCount(int itmp);
virtual MathStructure calculate(const string &eq, const EvaluationOptions &eo = default_evaluation_options);
virtual MathStructure parse(const string &eq, const ParseOptions &po = default_parse_options);
virtual int parse(MathStructure &mstruct, const string &eq, const ParseOptions &po = default_parse_options);
virtual MathStructure calculate(MathStructure &vargs, const EvaluationOptions &eo = default_evaluation_options);
/**
* The main function for subclasses to reimplement.
* Calculates a value from arguments in vargs and puts it in mstruct.
*
* This function expects the number of arguments to be equal to the maximum number of arguments, and checked by the argument definitions.
*
* If the return value is negative, then argument -(return value) has been evaluated in mstruct.
* If -(return value) is greater than max arguments, then mstruct is a vector of evaluated argument values.
*
* @param[out] mstruct Structure that is set with the result of the calculation.
* @param vargs Arguments passed to the mathematical function.
* @param eo Evaluation options.
* @returns 1 if the calculation was successful.
*/
virtual int calculate(MathStructure &mstruct, const MathStructure &vargs, const EvaluationOptions &eo);
/** Returns the functions condition expression.
*
* @returns The function's condition expression
*/
string condition() const;
/** Print the function's condition expression with argument names.
*
* @returns The printed condition
*/
string printCondition();
/** Sets the functions condition expression.
*
* @param expression The function's new condition expression
*/
void setCondition(string expression);
/** Test if arguments fulfil the function's condition expression.
*
* @param vargs Vector with arguments.
* @returns true if the arguments fulfil the function's condition expression
*/
bool testCondition(const MathStructure &vargs);
/** Returns the maximum number of arguments that the function accepts or -1 if the number of arguments is unlimited.
*/
int args() const;
/** Returns the minimum number of arguments for the function.
*/
int minargs() const;
/** Returns the maximum number of arguments that the function accepts or -1 if the number of arguments is unlimited.
*/
int maxargs() const;
/** Parses arguments from a text string and places them in a vector. The text string should be a comma separated list of arguments.
*
* @param str The argument string to parse.
* @param vargs Vector to store parsed arguments in.
* @param po Parse options.
* @returns The number of parsed arguments.
*/
int args(const string &str, MathStructure &vargs, const ParseOptions &po = default_parse_options);
/** Returns the index of the last argument definition.
*
* @returns The index of the last argument definition
*/
size_t lastArgumentDefinitionIndex() const;
/** Returns the argument definition for an argument index.
*
* @param index Argument index.
* @returns The argument definition for the index or NULL if no the argument was not defined for the index
*/
Argument *getArgumentDefinition(size_t index);
/** Removes all argument definitions for the function.
*/
void clearArgumentDefinitions();
/** Set the argument definition for an argument index.
*
* @param index Argument index.
* @param argdef A newly allocated argument definition
*/
void setArgumentDefinition(size_t index, Argument *argdef);
int stringArgs(const string &str, vector<string> &svargs);
void setDefaultValue(size_t arg_, string value_);
const string &getDefaultValue(size_t arg_) const;
void appendDefaultValues(MathStructure &vargs);
MathStructure produceVector(const MathStructure &vargs, int begin = -1, int end = -1);
MathStructure produceArgumentsVector(const MathStructure &vargs, int begin = -1, int end = -1);
virtual bool representsPositive(const MathStructure&, bool = false) const;
virtual bool representsNegative(const MathStructure&, bool = false) const;
virtual bool representsNonNegative(const MathStructure&, bool = false) const;
virtual bool representsNonPositive(const MathStructure&, bool = false) const;
virtual bool representsInteger(const MathStructure&, bool = false) const;
virtual bool representsNumber(const MathStructure&, bool = false) const;
virtual bool representsRational(const MathStructure&, bool = false) const;
virtual bool representsReal(const MathStructure&, bool = false) const;
virtual bool representsComplex(const MathStructure&, bool = false) const;
virtual bool representsNonZero(const MathStructure&, bool = false) const;
virtual bool representsEven(const MathStructure&, bool = false) const;
virtual bool representsOdd(const MathStructure&, bool = false) const;
virtual bool representsUndefined(const MathStructure&) const;
virtual bool representsBoolean(const MathStructure&) const;
virtual bool representsNonMatrix(const MathStructure&) const;
};
/// A user defined mathematical function.
/**
* User functions are functions defined using expression strings, representing mathematical formulas.
*
* The expression/formula of a function is basically a normal expression with placeholders for arguments.
* These placeholders consists of a backslash and a letter — x, y, z for the 1st, 2nd and 3rd arguments and a to u for argument 4 to 24.
* They are replaced by entered arguments when a function is calculated.
* The placeholders naturally also decide the number of arguments that a function requires.
* For example the function for triangle area ("base * height / 2") has the name triangle and the formula "(\x*\y)/2",
* which gives that "triangle(2, 3)" equals "(2*3) / 2" and returns "3" as result.
* An argument can be used more than one time and all arguments must not necessarily be in order in the formula.
*
* Additionally, optional arguments can be put in the formula with upper-case (X, Y, Z, ...) instead of lower-case letters (x, y, z, ...).
* The default value can be put in brackets after the letter (ex. "\X{2}").
* The default value may be omitted and is then zero. All additional arguments after an optional argument must also be optional.
*
* To simplify the formula and make it more efficient, subfunctions can be used.
* These works just like the main formula, using the arguments of it.
* Subfunctions are referenced in the formula using \index ('\2', '\2', '\3', ...).
* Even though it would be quite meaningless, the formula for triangle function could for example have a subfunction "\x*\y" and the formula "\1/2".
* Subfunctions must be added before the main formula is set.
*/
class UserFunction : public MathFunction {
protected:
string sformula, sformula_calc;
vector<string> v_subs;
vector<bool> v_precalculate;
public:
UserFunction(string cat_, string name_, string formula_, bool is_local = true, int argc_ = -1, string title_ = "", string descr_ = "", int max_argc_ = 0, bool is_active = true);
UserFunction(const UserFunction *function);
void set(const ExpressionItem *item);
ExpressionItem *copy() const;
/** Returns the external representation of the formula. */
string formula() const;
/** Returns the internal representation of the formula. */
string internalFormula() const;
int calculate(MathStructure &mstruct, const MathStructure &vargs, const EvaluationOptions &eo);
/** Sets the formula of the mathematical function.
*
* @param new_formula Formula/expression.
* @param arc_ Minimum number of arguments or -1 to read from formula.
* @param max_argc_ Maximum number of arguments (ignored if argc_ < 0)
*/
void setFormula(string new_formula, int argc_ = -1, int max_argc_ = 0);
void addSubfunction(string subfunction, bool precalculate = true);
/** Sets the formula for a subfunction.
*
* @param index Index (starting at 1).
* @param subfunction Formula/expression.
*/
void setSubfunction(size_t index, string subfunction);
void delSubfunction(size_t index);
void clearSubfunctions();
size_t countSubfunctions() const;
void setSubfunctionPrecalculated(size_t index, bool precalculate);
const string &getSubfunction(size_t index) const;
bool subfunctionPrecalculated(size_t index) const;
int subtype() const;
};
/// A mathematical function argument definition with free value and base class for all argument definitions.
/** Free arguments accepts any value.
*/
class Argument {
protected:
string sname, scondition;
bool b_zero, b_test, b_matrix, b_text, b_error, b_rational;
/** This function is called from Argument::test() and performs validation specific to the argument definition type.
* Should be reimplemented by all subclasses.
*
* @param value Value to test.
* @param eo Evaluation options to use if the value needs to be evaluated.
* @returns true if the value is valid for the argument definition.
*/
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
/** This function is called from Argument::printlong() and returns description specific the argument definition type.
* Should be reimplemented by all subclasses. For example IntegerArgument::subprintlong() might return "an integer"
* and Argument::printlong() might append " that fulfills the condition: even(\x)".
*
* @returns Long description.
*/
virtual string subprintlong() const;
public:
/** Creates a new argument definition.
*
* @param name Name/title of the argument definition.
* @param does_test If argument values will be tested.
* @param does_error If an error will issued if the value tests false.
*/
Argument(string name_ = "", bool does_test = true, bool does_error = true);
/** Creates a copy of an argument definition.
*
* @param arg Argument to copy.
*/
Argument(const Argument *arg);
/** Destructor */
virtual ~Argument();
/** Sets the argument to a copy of an argument definition.
*
* @param arg Argument to copy.
*/
virtual void set(const Argument *arg);
/** Returns a copy of the argument definition.
*
* @returns A copy.
*/
virtual Argument *copy() const;
/** Resturns a short description of the argument definition.
* Ex. "number" for NumberArgument.
*
* @returns Short description.
*/
virtual string print() const;
/** Resturns a long description of the argument definition.
* Ex. "A real number > 2".
*
* @returns Long description.
*/
string printlong() const;
/** Tests if a value fulfils the requirements of the argument definition.
* The value might change if it has not been fully evaluated.
*
* @param value Value to test.
* @param f Mathematical function that the value is an argument for.
* @param eo Evaluation options to use if the value needs to be evaluated.
* @returns true if the value is valid for the argument definition.
*/
bool test(MathStructure &value, int index, MathFunction *f, const EvaluationOptions &eo = default_evaluation_options) const;
/** Parses an expression for an argument value.
* The default behavior is to use Calculator::parse() directly.
*
* @param str Expression.
* @param po Parse options.
* @returns A new mathematical structure with the parsed expression.
*/
virtual MathStructure parse(const string &str, const ParseOptions &po = default_parse_options) const;
/** Parses an expression for an argument value.
* The default behavior is to use Calculator::parse() directly.
*
* @param mstruct Mathematical structure to set with the parsed expression.
* @param str Expression.
* @param po Parse options.
*/
virtual void parse(MathStructure *mstruct, const string &str, const ParseOptions &po = default_parse_options) const;
/** Returns the name/title of the argument definition.
*
* @returns Name/title.
*/
string name() const;
/** Sets the name/title of the argument definition.
*
* @param name_ New name/title.
*/
void setName(string name_);
/** Sets a custom condition for argument values.
* '\x' is replaced by the argument value in the expression.
*
* @param condition Condition expression.
*/
void setCustomCondition(string condition);
/** Returns the custom condition expression set for argument values.
*
* @returns Custom condition for argument values.
*/
string getCustomCondition() const;
/** If the value for the argument will be tested. If not, the argument only works as an suggestion and any value is allowed.
*
* @returns true if the argument value will be tested.
*/
bool tests() const;
void setTests(bool does_error);
/** If an error message will be presented to the user if the value for the argument is not allowed.
*
* @returns true if error messages will be shown.
*/
bool alerts() const;
void setAlerts(bool does_error);
/** If an argument value of zero is forbidden.
*
* @returns true if zero argument value is forbidden.
*/
bool zeroForbidden() const;
/** Sets if a value of zero is forbidden for the argument value.
*
* @param forbid_zero If zero shall be forbidden.
*/
void setZeroForbidden(bool forbid_zero);
bool matrixAllowed() const;
void setMatrixAllowed(bool allow_matrix);
/** If only rational polynomials are allowed as argument value.
*
* @see MathStructure::isRationalPolynomial()
* @returns true if only rational polynomials is allowed.
*/
bool rationalPolynomial() const;
void setRationalPolynomial(bool rational_polynomial);
virtual bool suggestsQuotes() const;
/** Returns the type of the argument, corresponding to which subclass the object belongs to.
*
* @returns ::ArgumentType.
*/
virtual int type() const;
};
/// A definition for numerical arguments.
/** These arguments allows numerical values. The value can be restricted to real or rational numbers (defaults to allow all numbers, including complex), and a max and/or min value.
*/
class NumberArgument : public Argument {
protected:
Number *fmin, *fmax;
bool b_incl_min, b_incl_max;
bool b_complex, b_rational_number;
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
NumberArgument(string name_ = "", ArgumentMinMaxPreDefinition minmax = ARGUMENT_MIN_MAX_NONE, bool does_test = true, bool does_error = true);
NumberArgument(const NumberArgument *arg);
virtual ~NumberArgument();
virtual void set(const Argument *arg);
virtual Argument *copy() const;
virtual string print() const;
void setMin(const Number *nmin);
void setIncludeEqualsMin(bool include_equals);
bool includeEqualsMin() const;
const Number *min() const;
void setMax(const Number *nmax);
void setIncludeEqualsMax(bool include_equals);
bool includeEqualsMax() const;
const Number *max() const;
bool complexAllowed() const;
void setComplexAllowed(bool allow_complex);
bool rationalNumber() const;
void setRationalNumber(bool rational_number);
virtual int type() const;
};
/// A definition for integer arguments.
/** These arguments allows numerical integer values. The value can be restricted to a max and/or min value.
*/
class IntegerArgument : public Argument {
protected:
Number *imin, *imax;
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
IntegerArgument(string name_ = "", ArgumentMinMaxPreDefinition minmax = ARGUMENT_MIN_MAX_NONE, bool does_test = true, bool does_error = true);
IntegerArgument(const IntegerArgument *arg);
virtual ~IntegerArgument();
virtual void set(const Argument *arg);
virtual Argument *copy() const;
virtual string print() const;
void setMin(const Number *nmin);
const Number *min() const;
void setMax(const Number *nmax);
const Number *max() const;
virtual int type() const;
};
/// A symbolic argument.
/** Accepts variables and symbolic structures.
*/
class SymbolicArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
SymbolicArgument(string name_ = "", bool does_test = true, bool does_error = true);
SymbolicArgument(const SymbolicArgument *arg);
virtual ~SymbolicArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// A text argument.
/** Accepts text (symbolic) structures. Argument values are parsed as text, unless surrounded by back slashes (which are then removed). Surrounding Parentheses and first quotation marks are removed.
*/
class TextArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
TextArgument(string name_ = "", bool does_test = true, bool does_error = true);
TextArgument(const TextArgument *arg);
virtual ~TextArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
virtual bool suggestsQuotes() const;
};
/// A date argument.
/** A text argument representing a date.
*/
class DateArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
DateArgument(string name_ = "", bool does_test = true, bool does_error = true);
DateArgument(const DateArgument *arg);
virtual ~DateArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// A vector argument.
/**
*/
class VectorArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
vector<Argument*> subargs;
bool b_argloop;
public:
VectorArgument(string name_ = "", bool does_test = true, bool allow_matrix = false, bool does_error = true);
VectorArgument(const VectorArgument *arg);
virtual ~VectorArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
bool reoccuringArguments() const;
void setReoccuringArguments(bool reocc);
void addArgument(Argument *arg);
void delArgument(size_t index);
size_t countArguments() const;
Argument *getArgument(size_t index) const;
};
/// A matrix argument.
/**
*/
class MatrixArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
bool b_square;
public:
MatrixArgument(string name_ = "", bool does_test = true, bool does_error = true);
MatrixArgument(const MatrixArgument *arg);
virtual bool squareDemanded() const;
virtual void setSquareDemanded(bool square);
virtual ~MatrixArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// Argument for functions, variables and units.
/** Text string representing a function, variable or unit name.
*/
class ExpressionItemArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
ExpressionItemArgument(string name_ = "", bool does_test = true, bool does_error = true);
ExpressionItemArgument(const ExpressionItemArgument *arg);
virtual ~ExpressionItemArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// A function argument.
/**
*/
class FunctionArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
FunctionArgument(string name_ = "", bool does_test = true, bool does_error = true);
FunctionArgument(const FunctionArgument *arg);
virtual ~FunctionArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// A boolean argument.
/** Accepts zero or one.
*/
class BooleanArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
BooleanArgument(string name_ = "", bool does_test = true, bool does_error = true);
BooleanArgument(const BooleanArgument *arg);
virtual ~BooleanArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
class UnitArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
UnitArgument(string name_ = "", bool does_test = true, bool does_error = true);
UnitArgument(const UnitArgument *arg);
virtual ~UnitArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
class AngleArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
AngleArgument(string name_ = "", bool does_test = true, bool does_error = true);
AngleArgument(const AngleArgument *arg);
virtual ~AngleArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
virtual void parse(MathStructure *mstruct, const string &str, const ParseOptions &po = default_parse_options) const;
};
class VariableArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
VariableArgument(string name_ = "", bool does_test = true, bool does_error = true);
VariableArgument(const VariableArgument *arg);
virtual ~VariableArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
class FileArgument : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
public:
FileArgument(string name_ = "", bool does_test = true, bool does_error = true);
FileArgument(const FileArgument *arg);
virtual ~FileArgument();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
};
/// A set of accepted arguments.
/** This is used when several different type of argments shall be accepted by a function.
*/
class ArgumentSet : public Argument {
protected:
virtual bool subtest(MathStructure &value, const EvaluationOptions &eo) const;
virtual string subprintlong() const;
vector<Argument*> subargs;
public:
ArgumentSet(string name_ = "", bool does_test = true, bool does_error = true);
ArgumentSet(const ArgumentSet *arg);
virtual ~ArgumentSet();
virtual int type() const;
virtual Argument *copy() const;
virtual string print() const;
void addArgument(Argument *arg);
void delArgument(size_t index);
size_t countArguments() const;
Argument *getArgument(size_t index) const;
};
#endif
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