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/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math.linear;

import java.math.BigDecimal;

/**
 * Interface defining a real-valued matrix with basic algebraic operations, using
 * BigDecimal representations for the entries.
 * 

* Matrix element indexing is 0-based -- e.g., getEntry(0, 0) * returns the element in the first row, first column of the matrix.

* * @version $Revision: 811786 $ $Date: 2009-09-06 11:36:08 +0200 (dim. 06 sept. 2009) $ * @deprecated as of 2.0, replaced by {@link FieldMatrix} with a {@link * org.apache.commons.math.util.BigReal} parameter */ @Deprecated public interface BigMatrix extends AnyMatrix { /** * Returns a (deep) copy of this. * * @return matrix copy */ BigMatrix copy(); /** * Compute the sum of this and m. * * @param m matrix to be added * @return this + m * @exception IllegalArgumentException if m is not the same size as this */ BigMatrix add(BigMatrix m) throws IllegalArgumentException; /** * Compute this minus m. * * @param m matrix to be subtracted * @return this + m * @exception IllegalArgumentException if m is not the same size as this */ BigMatrix subtract(BigMatrix m) throws IllegalArgumentException; /** * Returns the result of adding d to each entry of this. * * @param d value to be added to each entry * @return d + this */ BigMatrix scalarAdd(BigDecimal d); /** * Returns the result multiplying each entry of this by d. * * @param d value to multiply all entries by * @return d * this */ BigMatrix scalarMultiply(BigDecimal d); /** * Returns the result of postmultiplying this by m. * * @param m matrix to postmultiply by * @return this * m * @throws IllegalArgumentException * if columnDimension(this) != rowDimension(m) */ BigMatrix multiply(BigMatrix m) throws IllegalArgumentException; /** * Returns the result premultiplying this by m. * @param m matrix to premultiply by * @return m * this * @throws IllegalArgumentException * if rowDimension(this) != columnDimension(m) */ BigMatrix preMultiply(BigMatrix m) throws IllegalArgumentException; /** * Returns matrix entries as a two-dimensional array. * * @return 2-dimensional array of entries */ BigDecimal[][] getData(); /** * Returns matrix entries as a two-dimensional array. * * @return 2-dimensional array of entries */ double [][] getDataAsDoubleArray(); /*** * Gets the rounding mode * @return the rounding mode */ int getRoundingMode(); /** * Returns the * maximum absolute row sum norm of the matrix. * * @return norm */ BigDecimal getNorm(); /** * Gets a submatrix. Rows and columns are indicated * counting from 0 to n-1. * * @param startRow Initial row index * @param endRow Final row index * @param startColumn Initial column index * @param endColumn Final column index * @return The subMatrix containing the data of the * specified rows and columns * @exception MatrixIndexException if the indices are not valid */ BigMatrix getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) throws MatrixIndexException; /** * Gets a submatrix. Rows and columns are indicated * counting from 0 to n-1. * * @param selectedRows Array of row indices. * @param selectedColumns Array of column indices. * @return The subMatrix containing the data in the * specified rows and columns * @exception MatrixIndexException if row or column selections are not valid */ BigMatrix getSubMatrix(int[] selectedRows, int[] selectedColumns) throws MatrixIndexException; /** * Returns the entries in row number row * as a row matrix. Row indices start at 0. * * @param row the row to be fetched * @return row matrix * @throws MatrixIndexException if the specified row index is invalid */ BigMatrix getRowMatrix(int row) throws MatrixIndexException; /** * Returns the entries in column number column * as a column matrix. Column indices start at 0. * * @param column the column to be fetched * @return column matrix * @throws MatrixIndexException if the specified column index is invalid */ BigMatrix getColumnMatrix(int column) throws MatrixIndexException; /** * Returns the entries in row number row as an array. *

* Row indices start at 0. A MatrixIndexException is thrown * unless 0 <= row < rowDimension.

* * @param row the row to be fetched * @return array of entries in the row * @throws MatrixIndexException if the specified row index is not valid */ BigDecimal[] getRow(int row) throws MatrixIndexException; /** * Returns the entries in row number row as an array * of double values. *

* Row indices start at 0. A MatrixIndexException is thrown * unless 0 <= row < rowDimension.

* * @param row the row to be fetched * @return array of entries in the row * @throws MatrixIndexException if the specified row index is not valid */ double [] getRowAsDoubleArray(int row) throws MatrixIndexException; /** * Returns the entries in column number col as an array. *

* Column indices start at 0. A MatrixIndexException is thrown * unless 0 <= column < columnDimension.

* * @param col the column to be fetched * @return array of entries in the column * @throws MatrixIndexException if the specified column index is not valid */ BigDecimal[] getColumn(int col) throws MatrixIndexException; /** * Returns the entries in column number col as an array * of double values. *

* Column indices start at 0. A MatrixIndexException is thrown * unless 0 <= column < columnDimension.

* * @param col the column to be fetched * @return array of entries in the column * @throws MatrixIndexException if the specified column index is not valid */ double [] getColumnAsDoubleArray(int col) throws MatrixIndexException; /** * Returns the entry in the specified row and column. *

* Row and column indices start at 0 and must satisfy *

    *
  • 0 <= row < rowDimension
  • *
  • 0 <= column < columnDimension
  • *
* otherwise a MatrixIndexException is thrown.

* * @param row row location of entry to be fetched * @param column column location of entry to be fetched * @return matrix entry in row,column * @throws MatrixIndexException if the row or column index is not valid */ BigDecimal getEntry(int row, int column) throws MatrixIndexException; /** * Returns the entry in the specified row and column as a double. *

* Row and column indices start at 0 and must satisfy *

    *
  • 0 <= row < rowDimension
  • *
  • 0 <= column < columnDimension
  • *
* otherwise a MatrixIndexException is thrown.

* * @param row row location of entry to be fetched * @param column column location of entry to be fetched * @return matrix entry in row,column * @throws MatrixIndexException if the row or column index is not valid */ double getEntryAsDouble(int row, int column) throws MatrixIndexException; /** * Returns the transpose of this matrix. * * @return transpose matrix */ BigMatrix transpose(); /** * Returns the inverse of this matrix. * * @return inverse matrix * @throws org.apache.commons.math.linear.InvalidMatrixException if * this is not invertible */ BigMatrix inverse() throws InvalidMatrixException; /** * Returns the determinant of this matrix. * * @return determinant *@throws org.apache.commons.math.linear.InvalidMatrixException if * matrix is not square */ BigDecimal getDeterminant() throws InvalidMatrixException; /** * Returns the * trace of the matrix (the sum of the elements on the main diagonal). * * @return trace */ BigDecimal getTrace(); /** * Returns the result of multiplying this by the vector v. * * @param v the vector to operate on * @return this*v * @throws IllegalArgumentException if columnDimension != v.size() */ BigDecimal[] operate(BigDecimal[] v) throws IllegalArgumentException; /** * Returns the (row) vector result of premultiplying this by the vector v. * * @param v the row vector to premultiply by * @return v*this * @throws IllegalArgumentException if rowDimension != v.size() */ BigDecimal[] preMultiply(BigDecimal[] v) throws IllegalArgumentException; /** * Returns the solution vector for a linear system with coefficient * matrix = this and constant vector = b. * * @param b constant vector * @return vector of solution values to AX = b, where A is *this * @throws IllegalArgumentException if this.rowDimension != b.length * @throws org.apache.commons.math.linear.InvalidMatrixException if this matrix is not square or is singular */ BigDecimal[] solve(BigDecimal[] b) throws IllegalArgumentException, InvalidMatrixException; /** * Returns a matrix of (column) solution vectors for linear systems with * coefficient matrix = this and constant vectors = columns of * b. * * @param b matrix of constant vectors forming RHS of linear systems to * to solve * @return matrix of solution vectors * @throws IllegalArgumentException if this.rowDimension != row dimension * @throws org.apache.commons.math.linear.InvalidMatrixException if this matrix is not square or is singular */ BigMatrix solve(BigMatrix b) throws IllegalArgumentException, InvalidMatrixException; }




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