MATH_Expression package defines classes needed to generate an algebric formula on sets & numbers. More...
MATH_Expression package defines classes needed to generate an algebric formula on sets & numbers.
The syntax is:
- E1 BOP E1 with BOP is a binary operator & E1 , E2 the expression arguments
- UOP E1 with UOP an unary operator & E1 the argument
The binary operators are : MATH_BinaryOperator
- * for multiply or intersection operator MATH_AddOperator
- + for adding or union operator MATH_AddOperator
- - for subing & difference operator MATH_SubOperator
- / for dviding & symmetric difference operator MATH_DivideOperator
- & the and operator MATH_Andperator
- | the or operator MATH_OrOperator
- ^ the xor operator MATH_XorOperator
The unary operators are: MATH_UnaryOperator
- ~ for negative operator MATH_NotOperator
- - operator (*-1 multiplication) MATH_MinusOperator
The block unary operators: MATh_BlockOperator
- [,(,{ or ],),} for assocation operator (MATH_EndBlock & MATH_BeginBlock)
The functions are ln,log,ln,cos,sin,tan,ch,sh,th,acos,asin,atan,ash,ach,ath,pow,sqrt,exp
- MATH_LNFunction
- MATH_LOGFunction
- MATH_SQRTFunction
- MATH_POWFunction
- MATH_EXPFunction
- MATH_COSFunction
- ....
The sets are :
- BOX (MATH_RectangleSet)
- DISK (MATH_DiskSet)
- XBOX,YBOX,ZBOX (MATH_kBoxSet derivated as MATH_XBoxSet MATH_YBoxSet MATH_ZBoxSet)
- FULL (MATH_FullSet)
- PARABLE (MATH_Parable)
The set transformers are
- AFFINE (MATH_LinearTreansform)
- ROTATION (MATH_RotationTransform)
- TRANSLATION (MATH_TranslationTransform)
To parse formulas:
- MATH_RootExpression::parse() is a parser for creating a tree.
The tree will be created with is composed by :
To evaluate the expression:
The organization of this package is as follow:
