jhelp.util.math.formal

Class Subtraction.SubtractionSimplifier

java.lang.Object

jhelp.util.math.formal.Subtraction.SubtractionSimplifier

All Implemented Interfaces:

FunctionSimplifier

Enclosing class:

Subtraction

 class Subtraction.SubtractionSimplifier
extends java.lang.Object
implements FunctionSimplifier

Subtraction simplifier

Author:

JHelp

Constructor Summary

Constructors

Constructor and Description
Subtraction.SubtractionSimplifier()

Method Summary

Methods

Modifier and Type	Method and Description
Function	simplify() Simplify the subtraction Parent documentation: Call when simplify the function
private Function	simplify(Addition addition, Function function) Simplification : Function Simplification ( X + Y ) - X Y ( X + Y ) - Y X ( X + Y ) - Z ( X - Z ) + Y private Function simplify(Constant constant1, Constant constant2) Simplification : C1-C2 -> C3 private Function simplify(Constant constant, Function function) Simplification : C1-X -> C1-X private Function simplify(Function function, Addition addition) Simplification : Function Simplification X - ( X + Y ) -Y X - ( Y + X ) -Y X - ( Y + Z ) ( X - Y ) - Z private Function simplify(Function function, Constant constant) Simplification : X-C1 -> C2+X private Function simplify(Function function1, Function function2) Simplification : (X1+X2+... private Function simplify(Function function, MinusUnary minusUnary) Simplification : X-(-Y) -> X+Y private Function simplify(Function function, Multiplication multiplication) Simplification : Function Simplification X - ( X * C1 ) C2 * X X - ( C1 * X ) C2 * X X - ( Y * Z ) X - ( Y * Z ) private Function simplify(Function function, Subtraction subtraction) Simplification : X-(Y-Z) -> X+(Z-Y) private Function simplify(Logarithm logarithm1, Logarithm logarithm2) Simplification : ln(X)-ln(Y) -> ln(X/Y) private Function simplify(MinusUnary minusUnary, Function function) Simplification : (-X)-Y -> -(X+Y) private Function simplify(MinusUnary minusUnary1, MinusUnary minusUnary2) Simplification : (-X)-(-Y) -> Y-X private Function simplify(Multiplication multiplication, Function function) Simplification : Function Simplification ( X * C1) - X C2 * X ( C1 * X ) - X C2 * X ( X * Y ) - Z ( X * Y ) - Z private Function simplify(Multiplication multiplication1, Multiplication multiplication2) Simplification : Function Simplification (C1 * X ) - ( C2 * X ) C3 * X (C1 * X ) - ( X * C2 ) C3 * X ( X * C1 ) - ( C2 * X ) C3 * X ( X * C1 ) - ( X * C2 ) C3 * X (C1 * X ) - X C2 * X ( X * C1 ) - X C2 * X X - (C1 * X ) C2 * X X - ( X * C1 ) C2 * X ( cos(X) * cos(Y) ) - ( sin(X) * sin(Y) ) cos(X + Y) ( cos(X) * sin(Y) ) - ( sin(X) * cos(Y) ) sin(X - Y) ( sin(Y) * cos(X) ) - ( sin(X) * cos(Y) ) sin(X - Y) ( cos(X) * sin(Y) ) - ( cos(Y) * sin(X) ) sin(X - Y) ( sin(Y)*cos(X) ) - ( cos(Y) * sin(X) ) sin(X - Y) ( sin(X) * sin(Y) ) - ( cos(X) * cos(Y) ) -cos(X + Y) (X1 * ... private Function simplify(Subtraction subtraction, Function function) Simplification : (X-Y)-Z -> (X-Z)-Y private Function simplify(Subtraction subtraction1, Subtraction subtraction2) Simplification : (X-Y)-(Z-A) -> (X-Z)+(A-Y) private Function simplifyMultipleMultiplication(Function function1, Function function2) Simplification : (X1 * ... * Xn * C1 * Y1 * ... * Ym) - (X1 * ... * Xn * C2 * Y1 * ... * Ym) -> C3 * X1 * ... * Xn * Y1 * ... * Ym private Function simplifySubtractionOfMultiplications(Constant constant1, Function function1, Constant constant2, Function function2) Simplification : Function Simplification (C1 * X ) - ( C2 * X ) C3 * X (C1 * X ) - ( C2 * Y ) (C1 * X ) - ( C2 * Y ) private Function simplifySubtractionOfMultiplications(Constant constant1, Function function1, Function function2, Constant constant2) Simplification : Function Simplification (C1 * X ) - ( X * C2 ) C3 * X (C1 * X ) - ( Y * C2 ) (C1 * X ) - ( C2 * Y ) private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Cosinus cosinus2, Sinus sinus1, Sinus sinus2) (cos(f1)*cos(f2))-(sin(f1)*sin(f2)) => cos(f1+f2) private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Sinus sinus1, Cosinus cosinus2, Sinus sinus2) ((cos(f1)*sin(f2))-(cos(f2)*sin(f1)) => sin(f1-f2) private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Sinus sinus1, Sinus sinus2, Cosinus cosinus2) ((cos(f1)*sin(f2))-(sin(f1)*cos(f2)) => sin(f1-f2) private Function simplifySubtractionOfMultiplications(Function function1, Constant constant1, Constant constant2, Function function2) Simplification : Function Simplification (X * C1 ) - (C2 * X ) C3 * X (X * C1 ) - (C2 * Y ) (C1 * X ) - ( C2 * Y ) private Function simplifySubtractionOfMultiplications(Function function1, Constant constant1, Function function2, Constant constant2) Simplification : Function Simplification (X * C1 ) - ( X * C2 ) C3 * X (X * C1 ) - ( Y * C2 ) (C1 * X ) - ( C2 * Y ) private Function simplifySubtractionOfMultiplications(Function function1, Function function2, Function function3, Function function4) (f1*f2)-(f3*f4) => (f1*f2)-(f3*f4) private Function simplifySubtractionOfMultiplications(Sinus sinus1, Cosinus cosinus1, Cosinus cosinus2, Sinus sinus2) (sin(f1)*cos(f2))-(cos(f1)*sin(f2)) => sin(f1-f2) private Function simplifySubtractionOfMultiplications(Sinus sinus1, Cosinus cosinus1, Sinus sinus2, Cosinus cosinus2) (sin(f1)*cos(f2))-(sin(f2)*cos(f1)) => sin(f1-f2) private Function simplifySubtractionOfMultiplications(Sinus sinus1, Sinus sinus2, Cosinus cosinus1, Cosinus cosinus2) (sin(f1)*sin(f2))-(cos(f1)*cos(f2)) => -cos(f1+f2) Methods inherited from class java.lang.Object clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait Constructor Detail Subtraction.SubtractionSimplifier Subtraction.SubtractionSimplifier() Method Detail simplify private Function simplify(Addition addition, Function function) Simplification : Function Simplification ( X + Y ) - X Y ( X + Y ) - Y X ( X + Y ) - Z ( X - Z ) + Y Parameters: addition - Addition argument function - Function argument Returns: Simplification simplify private Function simplify(Constant constant1, Constant constant2) Simplification : C1-C2 -> C3 Parameters: constant1 - Constant argument C1 constant2 - Constant Argument C2 Returns: Simplification simplify private Function simplify(Constant constant, Function function) Simplification : C1-X -> C1-X Parameters: constant - Constant argument C1 function - Function argument X Returns: Simplification simplify private Function simplify(Function function, Addition addition) Simplification : Function Simplification X - ( X + Y ) -Y X - ( Y + X ) -Y X - ( Y + Z ) ( X - Y ) - Z Parameters: function - Function argument X addition - Addition argument Returns: Simplification simplify private Function simplify(Function function, Constant constant) Simplification : X-C1 -> C2+X Parameters: function - Function argument X constant - Constant argument C1 Returns: Simplification simplify private Function simplify(Function function1, Function function2) Simplification : (X1+X2+...+Xn)-(Y1+Y2+..+Ym) => (X1-Y1)+...+(Xo-Yo)+R Condition o R n == m n 0 n > m m X(o+1)+...+Xn n < m n -(Y(o+1)+...+Ym) OR Function Simplification ( X + Y ) - X Y ( X + Y ) - Y X ( X + Y ) - Z ( X - Z ) + Y X - ( X + Y ) - Y X - ( Y + X ) - Y X - ( Y + Z ) ( X - Y ) - Z X - Y X - Y Parameters: function1 - First function argument function2 - Second function argument Returns: Simplification simplify private Function simplify(Function function, MinusUnary minusUnary) Simplification : X-(-Y) -> X+Y Parameters: function - Function argument X minusUnary - Minus unary argument -Y Returns: Simplification simplify private Function simplify(Function function, Multiplication multiplication) Simplification : Function Simplification X - ( X * C1 ) C2 * X X - ( C1 * X ) C2 * X X - ( Y * Z ) X - ( Y * Z ) Parameters: function - Function argument X multiplication - Multiplication argument Returns: Simplification simplify private Function simplify(Function function, Subtraction subtraction) Simplification : X-(Y-Z) -> X+(Z-Y) Parameters: function - Function argument X subtraction - Subtraction argument Y-Z Returns: Simplification simplify private Function simplify(Logarithm logarithm1, Logarithm logarithm2) Simplification : ln(X)-ln(Y) -> ln(X/Y) Parameters: logarithm1 - Logarithm argument ln(X) logarithm2 - Logarithm argument ln(Y) Returns: Simplification simplify private Function simplify(MinusUnary minusUnary, Function function) Simplification : (-X)-Y -> -(X+Y) Parameters: minusUnary - Minus unary argument -X function - Function argument Y Returns: Simplification simplify private Function simplify(MinusUnary minusUnary1, MinusUnary minusUnary2) Simplification : (-X)-(-Y) -> Y-X Parameters: minusUnary1 - Minus unary argument -X minusUnary2 - Minus unary argument -Y Returns: Simplification simplify private Function simplify(Multiplication multiplication, Function function) Simplification : Function Simplification ( X * C1) - X C2 * X ( C1 * X ) - X C2 * X ( X * Y ) - Z ( X * Y ) - Z Parameters: multiplication - Multiplication argument function - Function argument Returns: Simplification simplify private Function simplify(Multiplication multiplication1, Multiplication multiplication2) Simplification : Function Simplification (C1 * X ) - ( C2 * X ) C3 * X (C1 * X ) - ( X * C2 ) C3 * X ( X * C1 ) - ( C2 * X ) C3 * X ( X * C1 ) - ( X * C2 ) C3 * X (C1 * X ) - X C2 * X ( X * C1 ) - X C2 * X X - (C1 * X ) C2 * X X - ( X * C1 ) C2 * X ( cos(X) * cos(Y) ) - ( sin(X) * sin(Y) ) cos(X + Y) ( cos(X) * sin(Y) ) - ( sin(X) * cos(Y) ) sin(X - Y) ( sin(Y) * cos(X) ) - ( sin(X) * cos(Y) ) sin(X - Y) ( cos(X) * sin(Y) ) - ( cos(Y) * sin(X) ) sin(X - Y) ( sin(Y)*cos(X) ) - ( cos(Y) * sin(X) ) sin(X - Y) ( sin(X) * sin(Y) ) - ( cos(X) * cos(Y) ) -cos(X + Y) (X1 * ... * Xn * C1 * Y1 * ... * Ym) - (X1 ;* ... * Xn * C2 * Y1 * ... * Ym) C3 * X1 * ... * Xn * Y1 * ... * Ym (X*Y) - (Z*A) (X*Y) - (Z*A) Parameters: multiplication1 - First multiplication argument multiplication2 - Second Multiplication argument Returns: Simplification simplify private Function simplify(Subtraction subtraction, Function function) Simplification : (X-Y)-Z -> (X-Z)-Y Parameters: subtraction - Subtraction argument X-Y function - Function argument Z Returns: Simplification simplify private Function simplify(Subtraction subtraction1, Subtraction subtraction2) Simplification : (X-Y)-(Z-A) -> (X-Z)+(A-Y) Parameters: subtraction1 - Subtraction argument X-Y subtraction2 - Subtraction argument Z-A Returns: Simplification simplifyMultipleMultiplication private Function simplifyMultipleMultiplication(Function function1, Function function2) Simplification : (X1 * ... * Xn * C1 * Y1 * ... * Ym) - (X1 * ... * Xn * C2 * Y1 * ... * Ym) -> C3 * X1 * ... * Xn * Y1 * ... * Ym Parameters: function1 - First function argument function2 - Second function argument Returns: Simplification or null if arguments not match to the simplification simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Constant constant1, Function function1, Constant constant2, Function function2) Simplification : Function Simplification (C1 * X ) - ( C2 * X ) C3 * X (C1 * X ) - ( C2 * Y ) (C1 * X ) - ( C2 * Y ) Parameters: constant1 - Constant argument C1 function1 - Function argument X constant2 - Constant argument C2 function2 - Function argument X or Y Returns: Simplification simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Constant constant1, Function function1, Function function2, Constant constant2) Simplification : Function Simplification (C1 * X ) - ( X * C2 ) C3 * X (C1 * X ) - ( Y * C2 ) (C1 * X ) - ( C2 * Y ) Parameters: constant1 - Constant argument C1 function1 - Function argument X function2 - Function argument X or Y constant2 - Constant argument C2 Returns: Simplification simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Cosinus cosinus2, Sinus sinus1, Sinus sinus2) (cos(f1)*cos(f2))-(sin(f1)*sin(f2)) => cos(f1+f2) Parameters: cosinus1 - cos(f1) cosinus2 - cos(f2) sinus1 - sin(f1) sinus2 - sin(f2) Returns: cos(f1+f2) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Sinus sinus1, Cosinus cosinus2, Sinus sinus2) ((cos(f1)*sin(f2))-(cos(f2)*sin(f1)) => sin(f1-f2) Parameters: cosinus1 - cos(f1) sinus1 - sin(f2) cosinus2 - cos(f2) sinus2 - sin(f1) Returns: sin(f1-f2) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Cosinus cosinus1, Sinus sinus1, Sinus sinus2, Cosinus cosinus2) ((cos(f1)*sin(f2))-(sin(f1)*cos(f2)) => sin(f1-f2) Parameters: cosinus1 - cos(f1) sinus1 - sin(f2) sinus2 - sin(f1) cosinus2 - cos(f2) Returns: sin(f1-f2) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Function function1, Constant constant1, Constant constant2, Function function2) Simplification : Function Simplification (X * C1 ) - (C2 * X ) C3 * X (X * C1 ) - (C2 * Y ) (C1 * X ) - ( C2 * Y ) Parameters: function1 - Function argument X constant1 - Constant argument C1 constant2 - Constant argument C2 function2 - Function argument X or Y Returns: Simplification simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Function function1, Constant constant1, Function function2, Constant constant2) Simplification : Function Simplification (X * C1 ) - ( X * C2 ) C3 * X (X * C1 ) - ( Y * C2 ) (C1 * X ) - ( C2 * Y ) Parameters: function1 - Function argument X constant1 - Constant argument C1 function2 - Function argument X or Y constant2 - Constant argument C2 Returns: Simplification simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Function function1, Function function2, Function function3, Function function4) (f1*f2)-(f3*f4) => (f1*f2)-(f3*f4) Parameters: function1 - f1 function2 - f2 function3 - f3 function4 - f4 Returns: (f1*f2)-(f3*f4) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Sinus sinus1, Cosinus cosinus1, Cosinus cosinus2, Sinus sinus2) (sin(f1)*cos(f2))-(cos(f1)*sin(f2)) => sin(f1-f2) Parameters: sinus1 - sin(f1) cosinus1 - cos(f2) cosinus2 - cos(f1) sinus2 - sin(f2) Returns: sin(f1-f2) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Sinus sinus1, Cosinus cosinus1, Sinus sinus2, Cosinus cosinus2) (sin(f1)*cos(f2))-(sin(f2)*cos(f1)) => sin(f1-f2) Parameters: sinus1 - sin(f1) cosinus1 - cos(f2) sinus2 - sin(f2) cosinus2 - cos(f1) Returns: sin(f1-f2) simplifySubtractionOfMultiplications private Function simplifySubtractionOfMultiplications(Sinus sinus1, Sinus sinus2, Cosinus cosinus1, Cosinus cosinus2) (sin(f1)*sin(f2))-(cos(f1)*cos(f2)) => -cos(f1+f2) Parameters: sinus1 - sin(f1) sinus2 - sin(f2) cosinus1 - cos(f1) cosinus2 - cos(f2) Returns: -cos(f1+f2) simplify public Function simplify() Simplify the subtraction Parent documentation: Call when simplify the function Specified by: simplify in interface FunctionSimplifier Returns: Simplified function See Also: FunctionSimplifier.simplify() Overview Package Class Use Tree Deprecated Index Help Prev Class Next Class Frames No Frames All Classes Summary: Nested | Field | Constr | Method Detail: Field | Constr | Method