Package org.matheclipse.core.reflection.system

Class TrigToExp

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractEvaluator

org.matheclipse.core.reflection.system.TrigToExp

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class TrigToExp
extends AbstractEvaluator

 TrigToExp(expr)
 

converts trigonometric functions in expr to exponentials.

Examples

 >> TrigToExp(Cos(x))
 1/2*E^(I*x)+1/2*E^(-I*x)
 

Field Summary

Fields inherited from interface org.matheclipse.core.eval.interfaces.IFunctionEvaluator

ARGS_0_0, ARGS_0_1, ARGS_0_1_0, ARGS_0_2, ARGS_0_2_0, ARGS_0_3, ARGS_0_INFINITY, ARGS_1_1, ARGS_1_2, ARGS_1_2_0, ARGS_1_2_1, ARGS_1_2_2, ARGS_1_3, ARGS_1_3_0, ARGS_1_3_1, ARGS_1_3_2, ARGS_1_4, ARGS_1_4_0, ARGS_1_4_1, ARGS_1_4_2, ARGS_1_5, ARGS_1_5_1, ARGS_1_INFINITY, ARGS_1_INFINITY_0, ARGS_1_INFINITY_1, ARGS_2_2, ARGS_2_2_1, ARGS_2_3, ARGS_2_3_0, ARGS_2_3_1, ARGS_2_3_2, ARGS_2_4, ARGS_2_4_1, ARGS_2_4_2, ARGS_2_INFINITY, ARGS_3_3, ARGS_3_4, ARGS_3_5, ARGS_3_6, ARGS_3_INFINITY, ARGS_4_4, ARGS_5_5, ARGS_6_6

Constructor Summary

Constructors

Constructor	Description
TrigToExp()

Method Summary

Modifier and Type	Method	Description
IExpr	evaluate(IAST ast, EvalEngine engine)	Exponential definitions for trigonometric functions
int[]	expectedArgSize(IAST ast)	At index 0 return the "from", at index 1 return the "to" number of arguments, which are expected by this function.
void	setUp(ISymbol newSymbol)	Evaluate built-in rules and define Attributes for a function.
int	status()	The implementation status of this symbol or function.

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractEvaluator

defaultReturn, evalCatched, numericEval

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.matheclipse.core.interfaces.IEvaluator

await, setOptions

Methods inherited from interface org.matheclipse.core.eval.interfaces.IFunctionEvaluator

getOptionSymbols, numericFunction, print

Constructor Detail

TrigToExp

public TrigToExp()

Method Detail

evaluate

public IExpr evaluate(IAST ast,
                      EvalEngine engine)

Exponential definitions for trigonometric functions

See List of trigonometric identities - Exponential definitions,
Hyperbolic function

Specified by:

evaluate in interface IFunctionEvaluator

Overrides:

evaluate in class AbstractEvaluator

Parameters:

ast - the abstract syntax tree (AST) which should be evaluated

engine - the users current evaluation engine

Returns:

the evaluated object or F#NIL, if evaluation isn't possible

See Also:

Validate

status

public int status()

Description copied from interface: IFunctionEvaluator

The implementation status of this symbol or function.

• ✅ - ImplementationStatus.FULL_SUPPORT the symbol / function is supported. Note that this doesn't mean that every symbolic evaluation is supported.
• ☑ - ImplementationStatus.PARTIAL_SUPPORT the symbol / function is partially implemented and might not support most basic features of the element
• ❌ - ImplementationStatus.NO_SUPPORT the symbol / function is currently not supported
• ⚠ - ImplementationStatus.DEPRECATED the symbol / function is deprecated and will not be further improved
• 🧪 - ImplementationStatus.EXPERIMENTAL the symbol / function is an experimental implementation. It may not fully behave as expected.

expectedArgSize

public int[] expectedArgSize(IAST ast)

Description copied from interface: IFunctionEvaluator

At index 0 return the "from", at index 1 return the "to" number of arguments, which are expected by this function. If the returned int array has length 3, the function allows headers unequal to the built-in function name (i.e. the function can be in "operator form").

Parameters:

ast - the abstract syntax tree (AST) those arguments should be checked

Returns:

null if no range for the number of arguments is specified.

setUp

public void setUp(ISymbol newSymbol)

Description copied from class: AbstractEvaluator

Evaluate built-in rules and define Attributes for a function.

Specified by:

setUp in interface IEvaluator

Overrides:

setUp in class AbstractEvaluator

Parameters:

newSymbol - the symbol which should be set up