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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.math3.linear;
+
+import org.apache.commons.math3.exception.MathParseException;
+import org.apache.commons.math3.util.CompositeFormat;
+
+import java.text.FieldPosition;
+import java.text.NumberFormat;
+import java.text.ParsePosition;
+import java.util.ArrayList;
+import java.util.List;
+import java.util.Locale;
+
+/**
+ * Formats a {@code nxm} matrix in components list format
+ * "{{a<sub>0</sub><sub>0</sub>,a<sub>0</sub><sub>1</sub>, ...,
+ * a<sub>0</sub><sub>m-1</sub>},{a<sub>1</sub><sub>0</sub>, a<sub>1</sub><sub>1</sub>, ...,
+ * a<sub>1</sub><sub>m-1</sub>},{...},{ a<sub>n-1</sub><sub>0</sub>, a<sub>n-1</sub><sub>1</sub>,
+ * ..., a<sub>n-1</sub><sub>m-1</sub>}}".
+ *
+ * <p>The prefix and suffix "{" and "}", the row prefix and suffix "{" and "}", the row separator
+ * "," and the column separator "," can be replaced by any user-defined strings. The number format
+ * for components can be configured.
+ *
+ * <p>White space is ignored at parse time, even if it is in the prefix, suffix or separator
+ * specifications. So even if the default separator does include a space character that is used at
+ * format time, both input string "{{1,1,1}}" and " { { 1 , 1 , 1 } } " will be parsed without error
+ * and the same matrix will be returned. In the second case, however, the parse position after
+ * parsing will be just after the closing curly brace, i.e. just before the trailing space.
+ *
+ * <p><b>Note:</b> the grouping functionality of the used {@link NumberFormat} is disabled to
+ * prevent problems when parsing (e.g. 1,345.34 would be a valid number but conflicts with the
+ * default column separator).
+ *
+ * @since 3.1
+ */
+public class RealMatrixFormat {
+
+ /** The default prefix: "{". */
+ private static final String DEFAULT_PREFIX = "{";
+
+ /** The default suffix: "}". */
+ private static final String DEFAULT_SUFFIX = "}";
+
+ /** The default row prefix: "{". */
+ private static final String DEFAULT_ROW_PREFIX = "{";
+
+ /** The default row suffix: "}". */
+ private static final String DEFAULT_ROW_SUFFIX = "}";
+
+ /** The default row separator: ",". */
+ private static final String DEFAULT_ROW_SEPARATOR = ",";
+
+ /** The default column separator: ",". */
+ private static final String DEFAULT_COLUMN_SEPARATOR = ",";
+
+ /** Prefix. */
+ private final String prefix;
+
+ /** Suffix. */
+ private final String suffix;
+
+ /** Row prefix. */
+ private final String rowPrefix;
+
+ /** Row suffix. */
+ private final String rowSuffix;
+
+ /** Row separator. */
+ private final String rowSeparator;
+
+ /** Column separator. */
+ private final String columnSeparator;
+
+ /** The format used for components. */
+ private final NumberFormat format;
+
+ /**
+ * Create an instance with default settings.
+ *
+ * <p>The instance uses the default prefix, suffix and row/column separator: "[", "]", ";" and
+ * ", " and the default number format for components.
+ */
+ public RealMatrixFormat() {
+ this(
+ DEFAULT_PREFIX,
+ DEFAULT_SUFFIX,
+ DEFAULT_ROW_PREFIX,
+ DEFAULT_ROW_SUFFIX,
+ DEFAULT_ROW_SEPARATOR,
+ DEFAULT_COLUMN_SEPARATOR,
+ CompositeFormat.getDefaultNumberFormat());
+ }
+
+ /**
+ * Create an instance with a custom number format for components.
+ *
+ * @param format the custom format for components.
+ */
+ public RealMatrixFormat(final NumberFormat format) {
+ this(
+ DEFAULT_PREFIX,
+ DEFAULT_SUFFIX,
+ DEFAULT_ROW_PREFIX,
+ DEFAULT_ROW_SUFFIX,
+ DEFAULT_ROW_SEPARATOR,
+ DEFAULT_COLUMN_SEPARATOR,
+ format);
+ }
+
+ /**
+ * Create an instance with custom prefix, suffix and separator.
+ *
+ * @param prefix prefix to use instead of the default "{"
+ * @param suffix suffix to use instead of the default "}"
+ * @param rowPrefix row prefix to use instead of the default "{"
+ * @param rowSuffix row suffix to use instead of the default "}"
+ * @param rowSeparator tow separator to use instead of the default ";"
+ * @param columnSeparator column separator to use instead of the default ", "
+ */
+ public RealMatrixFormat(
+ final String prefix,
+ final String suffix,
+ final String rowPrefix,
+ final String rowSuffix,
+ final String rowSeparator,
+ final String columnSeparator) {
+ this(
+ prefix,
+ suffix,
+ rowPrefix,
+ rowSuffix,
+ rowSeparator,
+ columnSeparator,
+ CompositeFormat.getDefaultNumberFormat());
+ }
+
+ /**
+ * Create an instance with custom prefix, suffix, separator and format for components.
+ *
+ * @param prefix prefix to use instead of the default "{"
+ * @param suffix suffix to use instead of the default "}"
+ * @param rowPrefix row prefix to use instead of the default "{"
+ * @param rowSuffix row suffix to use instead of the default "}"
+ * @param rowSeparator tow separator to use instead of the default ";"
+ * @param columnSeparator column separator to use instead of the default ", "
+ * @param format the custom format for components.
+ */
+ public RealMatrixFormat(
+ final String prefix,
+ final String suffix,
+ final String rowPrefix,
+ final String rowSuffix,
+ final String rowSeparator,
+ final String columnSeparator,
+ final NumberFormat format) {
+ this.prefix = prefix;
+ this.suffix = suffix;
+ this.rowPrefix = rowPrefix;
+ this.rowSuffix = rowSuffix;
+ this.rowSeparator = rowSeparator;
+ this.columnSeparator = columnSeparator;
+ this.format = format;
+ // disable grouping to prevent parsing problems
+ this.format.setGroupingUsed(false);
+ }
+
+ /**
+ * Get the set of locales for which real vectors formats are available.
+ *
+ * <p>This is the same set as the {@link NumberFormat} set.
+ *
+ * @return available real vector format locales.
+ */
+ public static Locale[] getAvailableLocales() {
+ return NumberFormat.getAvailableLocales();
+ }
+
+ /**
+ * Get the format prefix.
+ *
+ * @return format prefix.
+ */
+ public String getPrefix() {
+ return prefix;
+ }
+
+ /**
+ * Get the format suffix.
+ *
+ * @return format suffix.
+ */
+ public String getSuffix() {
+ return suffix;
+ }
+
+ /**
+ * Get the format prefix.
+ *
+ * @return format prefix.
+ */
+ public String getRowPrefix() {
+ return rowPrefix;
+ }
+
+ /**
+ * Get the format suffix.
+ *
+ * @return format suffix.
+ */
+ public String getRowSuffix() {
+ return rowSuffix;
+ }
+
+ /**
+ * Get the format separator between rows of the matrix.
+ *
+ * @return format separator for rows.
+ */
+ public String getRowSeparator() {
+ return rowSeparator;
+ }
+
+ /**
+ * Get the format separator between components.
+ *
+ * @return format separator between components.
+ */
+ public String getColumnSeparator() {
+ return columnSeparator;
+ }
+
+ /**
+ * Get the components format.
+ *
+ * @return components format.
+ */
+ public NumberFormat getFormat() {
+ return format;
+ }
+
+ /**
+ * Returns the default real vector format for the current locale.
+ *
+ * @return the default real vector format.
+ */
+ public static RealMatrixFormat getInstance() {
+ return getInstance(Locale.getDefault());
+ }
+
+ /**
+ * Returns the default real vector format for the given locale.
+ *
+ * @param locale the specific locale used by the format.
+ * @return the real vector format specific to the given locale.
+ */
+ public static RealMatrixFormat getInstance(final Locale locale) {
+ return new RealMatrixFormat(CompositeFormat.getDefaultNumberFormat(locale));
+ }
+
+ /**
+ * This method calls {@link #format(RealMatrix,StringBuffer,FieldPosition)}.
+ *
+ * @param m RealMatrix object to format.
+ * @return a formatted matrix.
+ */
+ public String format(RealMatrix m) {
+ return format(m, new StringBuffer(), new FieldPosition(0)).toString();
+ }
+
+ /**
+ * Formats a {@link RealMatrix} object to produce a string.
+ *
+ * @param matrix the object to format.
+ * @param toAppendTo where the text is to be appended
+ * @param pos On input: an alignment field, if desired. On output: the offsets of the alignment
+ * field
+ * @return the value passed in as toAppendTo.
+ */
+ public StringBuffer format(RealMatrix matrix, StringBuffer toAppendTo, FieldPosition pos) {
+
+ pos.setBeginIndex(0);
+ pos.setEndIndex(0);
+
+ // format prefix
+ toAppendTo.append(prefix);
+
+ // format rows
+ final int rows = matrix.getRowDimension();
+ for (int i = 0; i < rows; ++i) {
+ toAppendTo.append(rowPrefix);
+ for (int j = 0; j < matrix.getColumnDimension(); ++j) {
+ if (j > 0) {
+ toAppendTo.append(columnSeparator);
+ }
+ CompositeFormat.formatDouble(matrix.getEntry(i, j), format, toAppendTo, pos);
+ }
+ toAppendTo.append(rowSuffix);
+ if (i < rows - 1) {
+ toAppendTo.append(rowSeparator);
+ }
+ }
+
+ // format suffix
+ toAppendTo.append(suffix);
+
+ return toAppendTo;
+ }
+
+ /**
+ * Parse a string to produce a {@link RealMatrix} object.
+ *
+ * @param source String to parse.
+ * @return the parsed {@link RealMatrix} object.
+ * @throws MathParseException if the beginning of the specified string cannot be parsed.
+ */
+ public RealMatrix parse(String source) {
+ final ParsePosition parsePosition = new ParsePosition(0);
+ final RealMatrix result = parse(source, parsePosition);
+ if (parsePosition.getIndex() == 0) {
+ throw new MathParseException(
+ source, parsePosition.getErrorIndex(), Array2DRowRealMatrix.class);
+ }
+ return result;
+ }
+
+ /**
+ * Parse a string to produce a {@link RealMatrix} object.
+ *
+ * @param source String to parse.
+ * @param pos input/ouput parsing parameter.
+ * @return the parsed {@link RealMatrix} object.
+ */
+ public RealMatrix parse(String source, ParsePosition pos) {
+ int initialIndex = pos.getIndex();
+
+ final String trimmedPrefix = prefix.trim();
+ final String trimmedSuffix = suffix.trim();
+ final String trimmedRowPrefix = rowPrefix.trim();
+ final String trimmedRowSuffix = rowSuffix.trim();
+ final String trimmedColumnSeparator = columnSeparator.trim();
+ final String trimmedRowSeparator = rowSeparator.trim();
+
+ // parse prefix
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ if (!CompositeFormat.parseFixedstring(source, trimmedPrefix, pos)) {
+ return null;
+ }
+
+ // parse components
+ List<List<Number>> matrix = new ArrayList<List<Number>>();
+ List<Number> rowComponents = new ArrayList<Number>();
+ for (boolean loop = true; loop; ) {
+
+ if (!rowComponents.isEmpty()) {
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ if (!CompositeFormat.parseFixedstring(source, trimmedColumnSeparator, pos)) {
+ if (trimmedRowSuffix.length() != 0
+ && !CompositeFormat.parseFixedstring(source, trimmedRowSuffix, pos)) {
+ return null;
+ } else {
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ if (CompositeFormat.parseFixedstring(source, trimmedRowSeparator, pos)) {
+ matrix.add(rowComponents);
+ rowComponents = new ArrayList<Number>();
+ continue;
+ } else {
+ loop = false;
+ }
+ }
+ }
+ } else {
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ if (trimmedRowPrefix.length() != 0
+ && !CompositeFormat.parseFixedstring(source, trimmedRowPrefix, pos)) {
+ return null;
+ }
+ }
+
+ if (loop) {
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ Number component = CompositeFormat.parseNumber(source, format, pos);
+ if (component != null) {
+ rowComponents.add(component);
+ } else {
+ if (rowComponents.isEmpty()) {
+ loop = false;
+ } else {
+ // invalid component
+ // set index back to initial, error index should already be set
+ pos.setIndex(initialIndex);
+ return null;
+ }
+ }
+ }
+ }
+
+ if (!rowComponents.isEmpty()) {
+ matrix.add(rowComponents);
+ }
+
+ // parse suffix
+ CompositeFormat.parseAndIgnoreWhitespace(source, pos);
+ if (!CompositeFormat.parseFixedstring(source, trimmedSuffix, pos)) {
+ return null;
+ }
+
+ // do not allow an empty matrix
+ if (matrix.isEmpty()) {
+ pos.setIndex(initialIndex);
+ return null;
+ }
+
+ // build vector
+ double[][] data = new double[matrix.size()][];
+ int row = 0;
+ for (List<Number> rowList : matrix) {
+ data[row] = new double[rowList.size()];
+ for (int i = 0; i < rowList.size(); i++) {
+ data[row][i] = rowList.get(i).doubleValue();
+ }
+ row++;
+ }
+ return MatrixUtils.createRealMatrix(data);
+ }
+}