libqalculate-5.3.0
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A user defined mathematical function. More...
#include <Function.h>
Public Member Functions | |
UserFunction (std::string cat_, std::string name_, std::string formula_, bool is_local=true, int argc_=-1, std::string title_="", std::string descr_="", int max_argc_=0, bool is_active=true) | |
UserFunction (const UserFunction *function) | |
void | set (const ExpressionItem *item) |
ExpressionItem * | copy () const |
std::string | formula () const |
std::string | internalFormula () const |
int | calculate (MathStructure &mstruct, const MathStructure &vargs, const EvaluationOptions &eo) |
void | setFormula (std::string new_formula, int argc_=-1, int max_argc_=0) |
void | addSubfunction (std::string subfunction, bool precalculate=true) |
void | setSubfunction (size_t index, std::string subfunction) |
void | delSubfunction (size_t index) |
void | clearSubfunctions () |
size_t | countSubfunctions () const |
void | setSubfunctionPrecalculated (size_t index, bool precalculate) |
const std::string & | getSubfunction (size_t index) const |
bool | subfunctionPrecalculated (size_t index) const |
int | subtype () const |
Public Member Functions inherited from MathFunction | |
MathFunction (std::string name_, int argc_, int max_argc_=0, std::string cat_="", std::string title_="", std::string descr_="", bool is_active=true) | |
MathFunction (const MathFunction *function) | |
virtual int | type () const |
virtual int | id () const |
std::string | example (bool raw_format=false, std::string name_string="") const |
void | setExample (std::string new_example) |
bool | testArgumentCount (int itmp) |
virtual MathStructure | calculate (const std::string &eq, const EvaluationOptions &eo=default_evaluation_options) |
virtual MathStructure | parse (const std::string &eq, const ParseOptions &po=default_parse_options) |
virtual int | parse (MathStructure &mstruct, const std::string &eq, const ParseOptions &po=default_parse_options) |
virtual MathStructure | calculate (MathStructure &vargs, const EvaluationOptions &eo=default_evaluation_options) |
std::string | condition () const |
std::string | printCondition () |
void | setCondition (std::string expression) |
bool | testCondition (const MathStructure &vargs) |
int | args () const |
int | minargs () const |
int | maxargs () const |
int | args (const std::string &str, MathStructure &vargs, const ParseOptions &po=default_parse_options) |
size_t | lastArgumentDefinitionIndex () const |
Argument * | getArgumentDefinition (size_t index) |
void | clearArgumentDefinitions () |
void | setArgumentDefinition (size_t index, Argument *argdef) |
int | stringArgs (const std::string &str, std::vector< std::string > &svargs) |
void | setDefaultValue (size_t arg_, std::string value_) |
const std::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 | representsNonComplex (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 |
virtual bool | representsScalar (const MathStructure &) const |
Public Member Functions inherited from ExpressionItem | |
ExpressionItem (std::string cat_, std::string name_, std::string title_="", std::string descr_="", bool is_local=true, bool is_builtin=false, bool is_active=true) | |
virtual bool | destroy () |
bool | isRegistered () const |
void | setRegistered (bool is_registered) |
For internal use. | |
virtual const std::string & | name (bool use_unicode=false, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual const std::string & | referenceName () const |
virtual const ExpressionName & | preferredName (bool abbreviation=false, bool use_unicode=false, bool plural=false, bool reference=false, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual const ExpressionName & | preferredInputName (bool abbreviation=false, bool use_unicode=false, bool plural=false, bool reference=false, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual const ExpressionName & | preferredDisplayName (bool abbreviation=false, bool use_unicode=false, bool plural=false, bool reference=false, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual const ExpressionName & | getName (size_t index) const |
virtual void | setName (const ExpressionName &ename, size_t index=1, bool force=true) |
virtual void | setName (std::string sname, size_t index, bool force=true) |
virtual void | addName (const ExpressionName &ename, size_t index=0, bool force=true) |
virtual void | addName (std::string sname, size_t index=0, bool force=true) |
virtual size_t | countNames () const |
virtual void | clearNames () |
virtual void | clearNonReferenceNames () |
virtual void | removeName (size_t index) |
virtual size_t | hasName (const std::string &sname, bool case_sensitive=true) const |
virtual size_t | hasNameCaseSensitive (const std::string &sname) const |
virtual const ExpressionName & | findName (int abbreviation=-1, int use_unicode=-1, int plural=-1, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual const std::string & | title (bool return_name_if_no_title=true, bool use_unicode=false, bool(*can_display_unicode_string_function)(const char *, void *)=NULL, void *can_display_unicode_string_arg=NULL) const |
virtual void | setTitle (std::string title_) |
virtual const std::string & | description () const |
virtual void | setDescription (std::string descr_) |
virtual const std::string & | category () const |
virtual void | setCategory (std::string cat_) |
virtual bool | hasChanged () const |
virtual void | setChanged (bool has_changed) |
virtual bool | isLocal () const |
virtual bool | setLocal (bool is_local=true, int will_be_active=-1) |
virtual bool | isBuiltin () const |
virtual bool | isApproximate () const |
virtual void | setApproximate (bool is_approx=true) |
virtual int | precision () const |
virtual void | setPrecision (int prec) |
virtual bool | isActive () const |
virtual void | setActive (bool is_active) |
virtual bool | isHidden () const |
virtual void | setHidden (bool is_hidden) |
virtual int | refcount () const |
virtual void | ref () |
virtual void | unref () |
virtual void | ref (ExpressionItem *o) |
virtual void | unref (ExpressionItem *o) |
virtual ExpressionItem * | getReferencer (size_t index=1) const |
virtual bool | changeReference (ExpressionItem *o_from, ExpressionItem *o_to) |
Protected Attributes | |
std::string | sformula |
std::string | sformula_calc |
std::vector< std::string > | v_subs |
std::vector< bool > | v_precalculate |
Protected Attributes inherited from MathFunction | |
MathFunction_p * | priv |
int | argc |
int | max_argc |
std::vector< std::string > | default_values |
size_t | last_argdef_index |
std::string | scondition |
std::string | sexample |
Protected Attributes inherited from ExpressionItem | |
std::string | scat |
std::string | stitle |
std::string | sdescr |
bool | b_local |
bool | b_changed |
bool | b_builtin |
bool | b_approx |
bool | b_active |
bool | b_registered |
bool | b_hidden |
bool | b_destroyed |
int | i_ref |
int | i_precision |
std::vector< ExpressionItem * > | v_refs |
std::vector< ExpressionName > | names |
Additional Inherited Members | |
Protected Member Functions inherited from MathFunction | |
bool | testArguments (MathStructure &vargs) |
virtual MathStructure | createFunctionMathStructureFromVArgs (const MathStructure &vargs) |
virtual MathStructure | createFunctionMathStructureFromSVArgs (std::vector< std::string > &svargs) |
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.
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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 std::vector of evaluated argument values.
[out] | mstruct | Structure that is set with the result of the calculation. |
vargs | Arguments passed to the mathematical function. | |
eo | Evaluation options. |
Reimplemented from MathFunction.
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virtual |
Implements MathFunction.
std::string UserFunction::formula | ( | ) | const |
Returns the external representation of the formula.
std::string UserFunction::internalFormula | ( | ) | const |
Returns the internal representation of the formula.
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virtual |
Reimplemented from MathFunction.
void UserFunction::setFormula | ( | std::string | new_formula, |
int | argc_ = -1, | ||
int | max_argc_ = 0 ) |
Sets the formula of the mathematical function.
new_formula | Formula/expression. |
argc_ | Minimum number of arguments or -1 to read from formula. |
max_argc_ | Maximum number of arguments (ignored if argc_ < 0) |
void UserFunction::setSubfunction | ( | size_t | index, |
std::string | subfunction ) |
Sets the formula for a subfunction.
index | Index (starting at 1). |
subfunction | Formula/expression. |
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virtual |
Returns the subtype of the mathematical function, corresponding to which subsubclass the object belongs to.
Reimplemented from MathFunction.