/*
 * This file is part of Toolkit.
 *
 * Toolkit is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public
 * License as published by the Free Software Foundation; either
 * version 3 of the License, or (at your option) any later version.
 *
 * Toolkit 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
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU General
 * Public License along with this program; if not, write to the
 * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
 * Boston, MA  02110-1301  USA
 */
"use strict";
(function(w, TK){
var notes = [ "C", "C#", "D", "D#", "E", "F", "F#", "G", "G#", "A", "A#", "B" ];
TK.Notes = TK.class({
    /**
     * TK.Notes converts between frequencies, MIDI notes
     * and note names.
     *
     * @mixin TK.Notes
     */
    _class: "Notes",
    /**
     * Returns a note name for a MIDI note number.
     * 
     * @method TK.Notes#midi2note
     * 
     * @param {int} note - The MIDI note to translate.
     * 
     * @returns {string} note - The name of the note.
     */
    midi2note: function (num) {
        return notes[num % 12] + parseInt(num / 12);
    },
    /**
     * Returns a frequency of a MIDI note number.
     * 
     * @method TK.Notes#midi2freq
     * 
     * @param {int} note - The MIDI note to translate.
     * 
     * @returns {number} frequency - The frequency of the MIDI number.
     */
    midi2freq: function (num, base) {
        base |= 440;
        return Math.pow(2, (num - 69) / 12) * base;
    },
    /**
     * Returns a MIDI note number for a frequency.
     * 
     * @method TK.Notes#freq2midi
     * 
     * @param {number} frequency - The frequency to translate.
     * @param {number} [base] - The frequency of A440.
     * 
     * @returns {int} number - The MIDI number of the frequency.
     */
    freq2midi: function (freq, base) {
        base |= 440;
        var f2 = Math.log2(freq / base);
        return Math.max(0, Math.round(12 * f2 + 69));
    },
    /**
     * Returns the percents a frequency misses a real note by.
     * 
     * @method TK.Notes#freq2cents
     * 
     * @param {number} frequency - The frequency to translate.
     * @param {number} [base] - The frequency of A440.
     * 
     * @returns {number} cents - The percent of the difference to the next full note.
     */
    freq2cents: function (freq, base) {
        base |= 440;
        var f2 = Math.log2(freq / base);
        f2 *= 1200;
        f2 %= 100;
        return (f2 < -50) ? 100 + f2 : (f2 > 50) ? -(100 - f2) : f2;
    },
    /**
     * Returns a note name for a frequency.
     * 
     * @method TK.Notes#freq2note
     * 
     * @param {number} frequency - The frequency to translate.
     * @param {number} [base] - The frequency of A440.
     * 
     * @returns {string} note - The name of the note.
     */
    freq2note: function (freq, base) {
        base |= 440;
        return this.midi2note(this.freq2midi(freq, base));
    }
});
})(this, this.TK);