TSparseMtx.Rem Method

Overload List

#	Signature	Description
1	function Rem(const X: TMtxVec; const Y: TMtxVec): TMtxVec;	The Reminder after division X/Y.
	└ indexed: function Rem(const X: TMtxVec; const Y: TMtxVec; XIndex: Integer; YIndex: Integer; Index: Integer; Len: Integer): TMtxVec;
2	function Rem(const X: TMtxVec; const Y: Double): TMtxVec;	Calculates reminder after division X/Y.
	└ indexed: function Rem(const X: TMtxVec; const Y: Double; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Overload 1: function Rem(const X: TMtxVec; const Y: TMtxVec): TMtxVec;

The Reminder after division X/Y.

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx
2	Y	TMtxVec	source TVec or TMtx

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculates reminder after division according to formula:

x[i]-y[i]*Trunc(x[i]/y[i]).

The results will be saved to the calling vector. X and Y must be a real and have the same length. Size and TMtxVec.Complex properties of the calling vector are set implicitly to match the X object.

Examples

var a,b,c: Matrix;
begin
    a.SetIt(1,4,false,[0,1,10,-1,-10]); // a = [0, 1, 10,    -1, -10];
    b.SetIt(1,4,false,[0,1,PI,-1,-PI]); // b = [0, 1, PI,    -1, -PI];
    c.Rem(a,b);                     // c = [0, 0, 0.5752, 0, -0.5752]
end;

Indexed: function Rem(const X: TMtxVec; const Y: TMtxVec; XIndex: Integer; YIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Calculates reminder after division X/Y.

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx
2	Y	TMtxVec	source TVec or TMtx
3	XIndex	Integer	X start index
4	YIndex	Integer	Y start index
5	Index	Integer	start index
6	Len	Integer	element count

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculation uses the following formula:

z[i] = x[xi]-y[yi]*Trunc(x[xi]/y[yi]),

where i in [Index..Index+Len], xi in [XIndex..XIndex+Len], yi in [YIndex..YIndex+Len]. The results will be saved to the calling vector. X must be a real. An exception will be raised if TMtxVecBase.ConditionCheck is True and array borders are overrun.

Overload 2: function Rem(const X: TMtxVec; const Y: Double): TMtxVec;

Calculates reminder after division X/Y.

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx
2	Y	Double	scalar

Result: stored in self (calling object), returns self for chaining

Remarks:

Reminder is calculated by using the following formula:

x[i]-y*Trunc(x[i]/y).

X must be a real. The results will be saved to the calling vector. Size and TMtxVec.Complex properties of the calling vector are set implicitly to match the X object.

Indexed: function Rem(const X: TMtxVec; const Y: Double; XIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Calculates reminder after division X/Y.

#	Name	Type	Description
1	X	TMtxVec	source TVec or TMtx
2	Y	Double	scalar
3	XIndex	Integer	X start index
4	Index	Integer	start index
5	Len	Integer	element count

Result: stored in self (calling object), returns self for chaining

Remarks:

Reminder is calculated by using the following formula:

x[i]-y*Trunc(x[i]/y).

X must be a real. The results will be saved to the calling vector. An exception will be raised if TMtxVecBase.ConditionCheck is True and array borders are overrun.