/**
 * Copyright 2010-2013 Jingjing Li.
 *
 * This file is part of jplot2d.
 *
 * jplot2d is free software: you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as
 * published by the Free Software Foundation, either version 3 of the
 * License, or any later version.
 *
 * jplot2d is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
 * See the GNU General Lesser Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License
 * along with jplot2d. If not, see .
 */
package org.jplot2d.axtick;

import java.lang.reflect.Array;
import java.text.Format;
import java.util.Formatter;
import java.util.Locale;
import java.util.regex.Matcher;
import java.util.regex.Pattern;

import org.jplot2d.tex.MathElement;
import org.jplot2d.tex.TeXMathUtils;
import org.jplot2d.util.Range;

/**
 * A calculator to calculate tick values and minor tick values
 * 
 * @author Jingjing Li
 */
public abstract class TickCalculator {

	public static final int AUTO_MINORTICK_NUMBER = -1;

	/**
	 * The Tolerance error for double computing. doublePrecisionLimit is 0x1.0p-52
	 */
	public static final double DOUBLE_PRECISION_TOLERANCE = 0x1.0p-40;

	public abstract Range getRange();

	public abstract void setRange(Range range);

	/**
	 * Calculate the tick values by the given tick number and minor ticks number. The minor ticks number is a proposed
	 * value, and may be different from actual minor ticks number returned by {@link #getMinorNumber()}.
	 * 
	 * @param tickNumber
	 * @param minorTickNumber
	 *            if the given number is {@link #AUTO_MINORTICK_NUMBER}, the tick number is automatically chosen.
	 */
	public abstract void calcValuesByTickNumber(int tickNumber, int minorTickNumber);

	/**
	 * Calculate the tick values by the given interval and minor ticks number. The minor ticks number is a proposed
	 * value, and may be different from actual minor ticks number returned by {@link #getMinorNumber()}.
	 * 
	 * @param interval
	 * @param offset
	 * @param minorTickNumber
	 *            if the given number is {@link #AUTO_MINORTICK_NUMBER}, the tick number is derived from interval.
	 */
	public abstract void calcValuesByTickInterval(double interval, double offset, int minorTickNumber);

	/**
	 * @return the tick interval.
	 */
	public abstract double getInterval();

	/**
	 * @return the actual minor tick number.
	 */
	public abstract int getMinorNumber();

	/**
	 * Find a proper minor tick number according to the given major interval and proposal minor tick number.
	 * 
	 * @param majorInterval
	 * @param minorNumber
	 *            the proposed minor tick number
	 * @return the proper minor tick number
	 */
	protected int calcMinorNumber(int majorInterval, int minorNumber) {

		/* significant digits of interval */
		int sdi = majorInterval;
		/* the scale in 10^n */
		while (sdi > 10 && sdi % 10 == 0) {
			sdi /= 10;
		}

		int minorInterval = sdi / (minorNumber + 1);
		if (minorInterval == 0) {
			minorInterval++;
		}
		int itvA = 1, itvB = sdi;
		for (int itv = minorInterval; itv > 1; itv--) {
			if (sdi % itv == 0) {
				itvA = itv;
				break;
			}
		}
		for (int itv = minorInterval + 1; itv < sdi; itv++) {
			if (sdi % itv == 0) {
				itvB = itv;
				break;
			}
		}
		int tickNumA = sdi / itvA - 1;
		int tickNumB = sdi / itvB - 1;

		if (tickNumB == 0) {
			return tickNumA;
		}
		/* tickNumB < tickNumber < tickNumA, tend to less */
		if (tickNumA - minorNumber < minorNumber - tickNumB) {
			return tickNumA;
		} else {
			return tickNumB;
		}
	}

	/**
	 * @return the tick values
	 */
	public abstract Object getValues();

	/**
	 * @return the minor tick values
	 */
	public abstract Object getMinorValues();

	/**
	 * Return all values within the range.
	 * 
	 * @param v
	 * @return
	 */
	public abstract int[] getInRangeValuesIdx(Object v);

	/**
	 * Calculate a proper text format to format the labels on given values. A calculator can just returns a text format
	 * and do not provide a format string (returns a empty string). If The returned text format is null, a
	 * proper format string must be provided.
	 * 
	 * @param values
	 * @return a text format object
	 */
	public abstract Format calcLabelTextFormat(Object values);

	/**
	 * Calculate a proper format string to format the labels on given values.
	 * 
	 * @param values
	 * @return
	 */
	public abstract String calcLabelFormatString(Object values);

	/**
	 * Returns a proper format string to format the labels on ticks values returned by {@link #getValues()}. Some
	 * calculator can derive format from its internal status directly.
	 */
	public abstract String getLabelFormate();

	/**
	 * Returns true if the given format is valid for this tick calculator
	 * 
	 * @param format
	 */
	public abstract boolean isValidFormat(String format);

	// %[argument_index$][flags][width][.precision]m_conversion
	private static final Pattern M_CONVERSION_PATTERN = Pattern
			.compile("(%(\\d+\\$)?([-#+ 0,(\\<]*)?(\\d+)?(\\.\\d+)?)(m)");

	private static final Pattern M_RESULT_PATTERN = Pattern
			.compile("-->>([+-]?[0-9](?:[.][0-9]+)?)e([+-]?([0-9])+)<<--");

	/**
	 * Returns a formatted string using the specified format string on the given value array.
	 * 
	 * @param format
	 *            A format string
	 * @param v
	 *            the value array to be formatted.
	 * @return A formatted string.
	 */
	public MathElement[] formatValues(String format, Object values) {
		int n = Array.getLength(values);
		MathElement[] labels = new MathElement[n];
		for (int i = 0; i < n; i++) {
			labels[i] = format(format, Array.get(values, i));
		}
		return labels;
	}

	/**
	 * Returns a formatted string using the specified format string on the given value.
	 * 
	 * @param format
	 *            A format string
	 * @param v
	 *            the value to be formatted.
	 * @return A formatted string.
	 */
	@SuppressWarnings("resource")
	protected MathElement format(String format, Object v) {

		boolean hasMConversion = false;
		StringBuffer convFormatBuffer = new StringBuffer();
		Matcher formatMatcher = M_CONVERSION_PATTERN.matcher(format);
		while (formatMatcher.find()) {
			hasMConversion = true;
			formatMatcher.appendReplacement(convFormatBuffer, "-->>$1e<<--");
		}
		formatMatcher.appendTail(convFormatBuffer);

		String texString;
		if (!hasMConversion) {
			texString = new Formatter(Locale.US).format(format, v).toString();
		} else {
			format = convFormatBuffer.toString();
			String intermediatResult = new Formatter(Locale.US).format(format, v).toString();

			int lastEnd = 0;
			Matcher resultMatcher = M_RESULT_PATTERN.matcher(intermediatResult);
			StringBuffer finalResultBuffer = new StringBuffer();
			while (resultMatcher.find()) {
				String s = intermediatResult.substring(lastEnd, resultMatcher.start());
				String a = resultMatcher.group(1);
				String m = resultMatcher.group(2);

				finalResultBuffer.append(s);

				boolean mathPart = false;
				if (m.startsWith("+")) {
					m = m.substring(1);
				}
				int mv = Integer.parseInt(m);
				if (mv != 0) {
					mathPart = true;
				}

				if (!mathPart) {
					finalResultBuffer.append(a);
				} else {
					if (!a.equals("1")) {
						finalResultBuffer.append(a);
						finalResultBuffer.append(" ");
					}
					finalResultBuffer.append("$10^{");
					finalResultBuffer.append(mv);
					finalResultBuffer.append("}$");
				}

				lastEnd = resultMatcher.end();
			}

			texString = finalResultBuffer.toString();
		}

		if (texString.indexOf('$') == -1) {
			return new MathElement.Mtext(texString);
		} else {
			return TeXMathUtils.parseText(texString);
		}
	}

	/**
	 * Returns a formatted string using the specified format string on the given value array.
	 * 
	 * @param format
	 *            A text format
	 * @param v
	 *            the value array to be formatted.
	 * @return A formatted string.
	 */
	public MathElement[] formatValues(Format format, Object values) {
		int n = Array.getLength(values);
		MathElement[] labels = new MathElement[n];
		for (int i = 0; i < n; i++) {
			labels[i] = format(format, Array.get(values, i));
		}
		return labels;
	}

	protected MathElement format(Format format, Object v) {
		String s = format.format(v);
		if (s.indexOf('$') == -1) {
			return new MathElement.Mtext(s);
		} else {
			return TeXMathUtils.parseText(s);
		}
	}

}