Matrix is created in one dimensional array, in sequence: elements of first row, second and so on. The last two elements represent the size of matrix: number of columns and rows.
Example:
double m[]={1,2,3,
          4,5,6,
          2,3}; // Matrix of two rows and three columns.
Class methods:
Method
Description of method and parameters
void SetSize(
 double& aA[],
 int aRows,
 int aCols
)
Sets the size of matrix aA. aRows – number of rows, aCols – number of columns.
void SetValue(
 double& aA[],
 int aRow,
 int aCol,
 double aValue
)
Sets the value (Value) of matrix (aA) element located in row aRow, column aCol.
int GetSize(
 double& aA[],
 int& aRows,
 int& aCols
)
Returns the number of matrix aA elements. By reference returns: aRows – number of rows, aCols – number of columns.
int GetRows(
 double& aA[]
)
Returns the number of rows in matrix aA.
int GetCols(
 double& aA[]
)
Returns the number of columns in matrix aA.
double GetValue(
 double& aA[],
 int aRow,
 int aCol
)
Gets the value of element in matrix aA located in row aRow and column aCol.
void Copy(
 double& aFrom[],
 double& aTo[]
)
Copies matrix from array aFrom to array aTo.
bool CheckForAdd(
 double& aA[],
 double& aB[]
)
Checks if two matrices match by size for addition (fully equivalent by height and width).
bool CheckForMult(
 double& aA[],
 double& aB[]
)
Checks if two matrices match by size for multiplication (number of columns in matrix aA equals the number of columns in matrix aB).
bool CheckIsSq(
 double& aA[]
)
Checks if matrix is square.
void AddNum(
 double& aA[],
 double aNum,
 double& aR[]
)
Adds number aNum to matrix aA. Resulting matrix is returned by reference in array aR.
void MultNum(
 double& aA[],
 double aNum,
 double& aR[]
)
Multiplies matrix aA by number aNum. Resulting matrix is returned by reference in array aR.
void AddMx(
 double& aA[],
 double& aB[],
 double& aAB[]
)
Adds matrix aA to matrix aB. Resulting matrix is returned by reference in array aAB.
void MultMx(
 double& aA[],
 double& aB[],
 double& aAB[])
Multiplies matrix aA by matrix aB. Resulting matrix is returned by reference in array aAB.
void Transpose(
 double& aA[],
 double& aT[]
)
Transposes matrix aA. Transposed matrix is returned by reference in array aT.
void AlgAdd(
 double& aA[],
 double& aAA[]
)
Gets cofactor matrix. aA – source matrix, aAA – cofactor (returned by reference).
bool Invert(
 double& aA[],
 double& aB[]
)
Returns the inverse matrix aR of matrix aA by reference. The method returns true if inverse matrix exists or false, if inverse matrix does not exist.
void Triangle(
 double& aA[],
 double& aT[]
)
Returns triangular matrix aT from matrix aA by reference.
void Minor(
 double aA[],
 int aRow,
 int aCol,
 double& aM[]
)
Gets the minor of matrix aA by row aRow and column aCol. Minor is returned by reference in array aM.
double MinorDef(
 double& aA[],
 int aRow,
 int aCol
)
Returns the determinant value of the matrix aA minor by row aRow and column aCol.
void MinorDefMx(
 double& aA[],
 double& aM[]
)
Gets minors matrix (matrix with values of the minors determinants). aA – source matrix, aM – matrix with minors determinants (returned by reference).
double Def(
 double& aA[]
)
Returns the determinant value of matrix aA.
int Rank(
 double& aA[]
)
Returns rank of matrix aA.
int RankDRC(
 double& aA[],
 double& aDef,
 int& aRow,
 int& aCol
)
Returns rank of matrix aA and by reference returns:
aDef – the determinant value,
aRow – row of minor with determinant not equal to 0
aCol – column of minor with determinant not equal to 0
void CopyCol(
 double& aFrom[],
 double& aTo[],
 int aFromCol,
 int aToCol,
 double& aR[]
)
Copies column with index aFromCol from matrix aFrom to matrix aTo to column with index aToCol. Result is returned by reference in array aR.
void CopyRow(
 double& aFrom[],
 double& aTo[],
 int aFromRow,
 int aToRow,
 double & aR[]
)
Copies row with index aFromRow from matrix aFrom to matrix aTo to row with index aToRow. Result is returned by reference in array aR.
void AppendCol(
 double& aA[],
 double& aC[],
 double& aF[]
)
Extends matrix aA by adding column aC to it. Result is returned by reference in array aF.
void AppendRow(
 double& aA[],
 double& aR[],
 double& aF[]
)
Extends matrix aA by adding row aR to it. Result is returned by reference in array aF.
bool SystemKramer(
 double& aK[],
 double& aY[],
 double& aX[]
)
Solves system of linear equations using Cramer’s rule.
aK – coefficient matrix (square),
aY – column of values,
aX – row of results
bool SystemInverse(
 double& aK[],
 double& aY[],
 double& aX[]
)
Solves system of linear equations using invertible matrix.
aK – coefficient matrix (square),
aY – column of values,
aX – row of results
bool SystemGauss(
 double& aK[],
 double& aY[],
 double& aX[]
)
Solves system of linear equations using Gaussian elimination.
aK – coefficient matrix (square),
aY – column of values,
aX – row of results
int SystemCheck(
 double& aK[],
 double& aY[]
)
Checks system of equations.
aK – coefficient matrix (square),
aY – column of values.
Returned value:
-1 – no solutions,
0 – one solution,
1 – infinite number of solutions
void Alert(
 double& aA[],
 int aDigits=2,
 string aCaption=“”
)
Displays the entire matrix in one alert box.
aA – matrix,
aDigits – number of digits after decimal point,
aCaption – message title
void Alert2(
 double& aA[],
 int aDigits=2,
 string aCaption=“”
)
Displays matrix in alert box line by line, rows displayed from bottom to top, then title, i.e. in alert box matrix is oriented normally: title at the top, then rows in order.
void Alert1Str(
 double& aA[],
 int aDigits=2
)
Displays array of matrix as a string in alert box.
The sMatrix.mq4 script is an example of using this library to solve a system of linear equations using Cramer’s rule, invertible matrix and Gaussian elimination.
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