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<html><head><meta http-equiv="content-type" content="text/html; charset=UTF-8"> <style>
.KEYW {color: #933;}
.COMM {color: #bbb; font-style: italic;}
.NUMB {color: #393;}
.STRN {color: #393;}
.REGX {color: #339;}
.line {border-right: 1px dotted #666; color: #666; font-style: normal;}
</style></head><body><pre><span class='line'> 1</span> <span class="TOKN"></span><span class="WHIT">
<span class='line'> 2</span> </span><span class="COMM">/**
<span class='line'> 3</span> * @name CeL quotient function
<span class='line'> 4</span> * @fileoverview
<span class='line'> 5</span> * 本檔案包含了 quotient 的 functions。
<span class='line'> 6</span> * @since 2010/3/11 16:59:59
<span class='line'> 7</span> * @example
<span class='line'> 8</span> * CeL.use('math'); // TODO: bug
<span class='line'> 9</span> * CeL.use('math.quotient');
<span class='line'> 10</span> * var q1 = new CeL.quotient(2,3);
<span class='line'> 11</span> * // 數字基底的轉換:
<span class='line'> 12</span> * CeL.log(CeL.quotient.parse_base('4877.6'.toLowerCase(),10).to_base(16).replace(/_([^\(]+)/,'_&lt;i style="text-decoration:overline">$1&lt;/i>'));
<span class='line'> 13</span> */</span><span class="WHIT">
<span class='line'> 14</span>
<span class='line'> 15</span>
<span class='line'> 16</span> </span><span class="COMM">/*
<span class='line'> 17</span> TODO:
<span class='line'> 18</span> use {String} value + {Number} exponent
<span class='line'> 19</span>
<span class='line'> 20</span> http://www.leemon.com/crypto/BigInt.html
<span class='line'> 21</span> http://www-cs-students.stanford.edu/~tjw/jsbn/
<span class='line'> 22</span> http://java.sun.com/javase/6/docs/api/java/math/BigInteger.html
<span class='line'> 23</span>
<span class='line'> 24</span> */</span><span class="WHIT">
<span class='line'> 25</span>
<span class='line'> 26</span> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="KEYW">typeof</span><span class="WHIT"> </span><span class="NAME">CeL</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'function'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 27</span> </span><span class="NAME">CeL.setup_module</span><span class="PUNC">(</span><span class="STRN">'data.math.quotient'</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'> 28</span> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'> 29</span> </span><span class="NAME">require</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="STRN">'data.math.to_rational_number|data.math.gcd|data.math.factorization'</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'> 30</span> </span><span class="NAME">code</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">library_namespace</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">load_arguments</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'> 31</span>
<span class='line'> 32</span> </span><span class="COMM">// requiring</span><span class="WHIT">
<span class='line'> 33</span> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">to_rational_number</span><span class="PUNC">,</span><span class="NAME">gcd</span><span class="PUNC">,</span><span class="NAME">factorization</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 34</span> </span><span class="NAME">eval</span><span class="PUNC">(</span><span class="NAME">library_namespace.use_function</span><span class="PUNC">(</span><span class="KEYW">this</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 35</span>
<span class='line'> 36</span>
<span class='line'> 37</span> </span><span class="COMM">//library_namespace.debug(to_rational_number);</span><span class="WHIT">
<span class='line'> 38</span> </span><span class="COMM">//library_namespace.debug(gcd);</span><span class="WHIT">
<span class='line'> 39</span>
<span class='line'> 40</span>
<span class='line'> 41</span> </span><span class="COMM">//============================================================================</span><span class="WHIT">
<span class='line'> 42</span> </span><span class="COMM">// definition of module quotient</span><span class="WHIT">
<span class='line'> 43</span>
<span class='line'> 44</span> </span><span class="KEYW">var</span><span class="WHIT">
<span class='line'> 45</span> </span><span class="COMM">/*
<span class='line'> 46</span> 整數部分
<span class='line'> 47</span> 分數 fraction
<span class='line'> 48</span> 真分數 proper fraction
<span class='line'> 49</span> vinculum = "divide by"
<span class='line'> 50</span> */</span><span class="WHIT">
<span class='line'> 51</span> </span><span class="COMM">/**
<span class='line'> 52</span> * 有理數 rational number，有理数全体のつくる集合はしばしば、商を意味する quotient の頭文字をとり、太字の Q で表す。&lt;br/>
<span class='line'> 53</span> * 若要輸入不同基底的數值，請用 parse_base()
<span class='line'> 54</span> * @param numerator 分子
<span class='line'> 55</span> * @param denominator 分母
<span class='line'> 56</span> * @param {Boolean} approximate 取近似值
<span class='line'> 57</span> * @example
<span class='line'> 58</span> * CeL.log((new CeL.quotient(3,4)).count('*',new CeL.quotient(2,7)).reduce().to_print_mode());
<span class='line'> 59</span> * @class quotient 的 functions
<span class='line'> 60</span> * @constructor
<span class='line'> 61</span> */</span><span class="WHIT">
<span class='line'> 62</span> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'> 63</span> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">numerator</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">approximate</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'> 64</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="KEYW">typeof</span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'object'</span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="KEYW">instanceof</span><span class="WHIT"> </span><span class="NAME">_</span><span class="WHIT">
<span class='line'> 65</span> </span><span class="WHIT"> </span><span class="COMM">//&& numerator.Class === 'quotient'</span><span class="WHIT">
<span class='line'> 66</span> </span><span class="WHIT"> </span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 67</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 68</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">numerator</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 69</span> </span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 70</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">denominator</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 71</span> </span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 72</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 73</span> </span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">denominator</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">numerator</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 74</span>
<span class='line'> 75</span> </span><span class="WHIT"> </span><span class="COMM">// to_rational_number 需 test，並回傳(分子,分母,誤差)！</span><span class="WHIT">
<span class='line'> 76</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">q</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">to_rational_number</span><span class="PUNC">(</span><span class="NAME">numerator</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 77</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug(numerator + ' → ' + q);</span><span class="WHIT">
<span class='line'> 78</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">q</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 79</span> </span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 80</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">approximate</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="PUNC">!</span><span class="NAME">q</span><span class="PUNC">[</span><span class="NUMB">2</span><span class="PUNC">]</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 81</span> </span><span class="WHIT"> </span><span class="COMM">// 無誤差時使用之</span><span class="WHIT">
<span class='line'> 82</span> </span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q</span><span class="PUNC">[</span><span class="NUMB">0</span><span class="PUNC">]</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q</span><span class="PUNC">[</span><span class="NUMB">1</span><span class="PUNC">]</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 83</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'> 84</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'> 85</span> </span><span class="WHIT"> </span><span class="COMM">// 化為整數</span><span class="WHIT">
<span class='line'> 86</span> </span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 87</span>
<span class='line'> 88</span> </span><span class="WHIT"> </span><span class="COMM">// value</span><span class="WHIT">
<span class='line'> 89</span> </span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">numerator</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">denominator</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 90</span> </span><span class="WHIT"> </span><span class="COMM">// this.type='quotient';</span><span class="WHIT">
<span class='line'> 91</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug(this.n + ' / ' + this.d);</span><span class="WHIT">
<span class='line'> 92</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="KEYW">this</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 93</span> </span><span class="PUNC">}</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'> 94</span>
<span class='line'> 95</span> </span><span class="COMM">//class public interface ---------------------------</span><span class="WHIT">
<span class='line'> 96</span>
<span class='line'> 97</span> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'> 98</span> </span><span class="PUNC">.</span><span class="WHIT">
<span class='line'> 99</span> </span><span class="COMM">/**
<span class='line'>100</span> * 循環節分隔符號： {String} 整數.小數__repetend_separator__循環節
<span class='line'>101</span> * @memberOf CeL.data.math.quotient
<span class='line'>102</span> */</span><span class="WHIT">
<span class='line'>103</span> </span><span class="NAME">repetend_separator</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'_'</span><span class="PUNC">;</span><span class="COMM">//' '</span><span class="WHIT">
<span class='line'>104</span>
<span class='line'>105</span> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'>106</span> </span><span class="PUNC">.</span><span class="WHIT">
<span class='line'>107</span> </span><span class="COMM">/**
<span class='line'>108</span> * 數字集
<span class='line'>109</span> * @memberOf CeL.data.math.quotient
<span class='line'>110</span> * @see
<span class='line'>111</span> * &lt;a href="http://en.wikipedia.org/wiki/Numerical_digit" accessdate="2010/4/16 20:47">Numerical digit&lt;/a>
<span class='line'>112</span> */</span><span class="WHIT">
<span class='line'>113</span> </span><span class="NAME">digit_char</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'0123456789abcdefghijklmnopqrstuvwxyz'</span><span class="PUNC">;</span><span class="COMM">//.split('')</span><span class="WHIT">
<span class='line'>114</span>
<span class='line'>115</span>
<span class='line'>116</span> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'>117</span> </span><span class="PUNC">.</span><span class="WHIT">
<span class='line'>118</span> </span><span class="COMM">/**
<span class='line'>119</span> * 轉換指定進位的數字成為 quotient 物件
<span class='line'>120</span> * @since 2004/7/9 16:13
<span class='line'>121</span> * @param number 數字
<span class='line'>122</span> * @param base 基底
<span class='line'>123</span> * @param digit_char 循環小數 digit 字集
<span class='line'>124</span> * @return 回傳 quotient 物件，請用 quotient.to_base() 傳回所欲之 base
<span class='line'>125</span> * @memberOf CeL.data.math.quotient
<span class='line'>126</span> * @example
<span class='line'>127</span> * var q=parse_base('10000.'+_.repetend_separator+'3',11);
<span class='line'>128</span> * if(!q)
<span class='line'>129</span> * alert('bad input!');
<span class='line'>130</span> * else
<span class='line'>131</span> * library_namespace.debug('&lt;br/>'+q.base(8)+','+q.base()+' , '+q.to_print_mode()+','+q.print(1)+','+q.to_print_mode(2)+','+q.to_print_mode(3,0,'',5));
<span class='line'>132</span> */</span><span class="WHIT">
<span class='line'>133</span> </span><span class="NAME">parse_base</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">number</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>134</span> </span><span class="WHIT"> </span><span class="COMM">// if(!num) num = 0;</span><span class="WHIT">
<span class='line'>135</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">(</span><span class="PUNC">!</span><span class="PUNC">(</span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">Math.floor</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>136</span> </span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">digit_char.length</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>137</span>
<span class='line'>138</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">digit_char</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>139</span> </span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">_.digit_char</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>140</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">></span><span class="WHIT"> </span><span class="NAME">digit_char.length</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>141</span> </span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>142</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">number</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="WHIT">
<span class='line'>143</span> </span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="STRN">''</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">number</span><span class="PUNC">)</span><span class="PUNC">.</span><span class="NAME">indexOf</span><span class="PUNC">(</span><span class="NAME">_.repetend_separator</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>144</span> </span><span class="WHIT"> </span><span class="COMM">// 可能有循環小數，所以不能放過僅僅 base === 10</span><span class="WHIT">
<span class='line'>145</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="NAME">number</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>146</span>
<span class='line'>147</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">c</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">r</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>148</span> </span><span class="WHIT"> </span><span class="KEYW">for</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">digit_char.length</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="NAME">i</span><span class="PUNC">++</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>149</span> </span><span class="WHIT"> </span><span class="NAME">c</span><span class="PUNC">[</span><span class="NAME">digit_char.charAt</span><span class="PUNC">(</span><span class="NAME">i</span><span class="PUNC">)</span><span class="PUNC">]</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">i</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="COMM">// 字集</span><span class="WHIT">
<span class='line'>150</span>
<span class='line'>151</span> </span><span class="WHIT"> </span><span class="NAME">number</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">''</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NUMB">1</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">n.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">r.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>152</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>'+i+','+num.length+','+t+','+num+','+n.to_print_mode());</span><span class="WHIT">
<span class='line'>153</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">number.charAt</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>154</span> </span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>155</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">++</span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">number.length</span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">number.charAt</span><span class="PUNC">(</span><span class="NAME">i</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">!=</span><span class="WHIT"> </span><span class="STRN">'.'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>156</span> </span><span class="WHIT"> </span><span class="COMM">// 整數</span><span class="WHIT">
<span class='line'>157</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">c</span><span class="PUNC">[</span><span class="NAME">p</span><span class="PUNC">]</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">>=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>158</span> </span><span class="WHIT"> </span><span class="COMM">// error!</span><span class="WHIT">
<span class='line'>159</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>160</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'>161</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>162</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>'+i+','+num.length+','+t+','+num+','+n.to_print_mode());</span><span class="WHIT">
<span class='line'>163</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">++</span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">number.length</span><span class="WHIT">
<span class='line'>164</span> </span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">number.charAt</span><span class="PUNC">(</span><span class="NAME">i</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">!=</span><span class="WHIT"> </span><span class="NAME">_.repetend_separator</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>165</span> </span><span class="WHIT"> </span><span class="COMM">// 小數</span><span class="WHIT">
<span class='line'>166</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">c</span><span class="PUNC">[</span><span class="NAME">p</span><span class="PUNC">]</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">>=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>167</span> </span><span class="WHIT"> </span><span class="COMM">// error!</span><span class="WHIT">
<span class='line'>168</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>169</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'>170</span> </span><span class="WHIT"> </span><span class="NAME">n.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.n</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">n.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>171</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">++</span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">number.length</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>172</span> </span><span class="WHIT"> </span><span class="COMM">// 循環節</span><span class="WHIT">
<span class='line'>173</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">c</span><span class="PUNC">[</span><span class="NAME">number.charAt</span><span class="PUNC">(</span><span class="NAME">i</span><span class="PUNC">)</span><span class="PUNC">]</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">>=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>174</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="COMM">// error!</span><span class="WHIT">
<span class='line'>175</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'>176</span> </span><span class="WHIT"> </span><span class="NAME">r.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">r.n</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">r.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>177</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>**'+n.to_print_mode());</span><span class="WHIT">
<span class='line'>178</span> </span><span class="WHIT"> </span><span class="COMM">// 善後</span><span class="WHIT">
<span class='line'>179</span> </span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.count</span><span class="PUNC">(</span><span class="STRN">'+='</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>180</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">r.n</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>181</span> </span><span class="WHIT"> </span><span class="NAME">r.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">r.d</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">n.d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">n.count</span><span class="PUNC">(</span><span class="STRN">'+='</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">r</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>182</span> </span><span class="WHIT"> </span><span class="NAME">n.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>183</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>*'+n.to_print_mode());</span><span class="WHIT">
<span class='line'>184</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">m</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>185</span> </span><span class="WHIT"> </span><span class="NAME">n.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">n.n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>186</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>187</span> </span><span class="PUNC">}</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>188</span>
<span class='line'>189</span>
<span class='line'>190</span>
<span class='line'>191</span> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'>192</span> </span><span class="PUNC">.</span><span class="NAME">prototype</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>193</span>
<span class='line'>194</span> </span><span class="COMM">// instance public interface -------------------</span><span class="WHIT">
<span class='line'>195</span>
<span class='line'>196</span>
<span class='line'>197</span> </span><span class="COMM">/**
<span class='line'>198</span> * 最簡分數/化簡, 約分 reduction
<span class='line'>199</span> * @return 化簡後的
<span class='line'>200</span> * @name CeL.data.math.quotient.prototype.reduce
<span class='line'>201</span> */</span><span class="WHIT">
<span class='line'>202</span> </span><span class="NAME">reduce</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>203</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">gcd</span><span class="PUNC">(</span><span class="NAME">this.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>204</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">></span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>205</span> </span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">g</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">g</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>206</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="KEYW">this</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>207</span> </span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>208</span>
<span class='line'>209</span> </span><span class="COMM">/**
<span class='line'>210</span> * 四則運算 + - * / (+-×÷)**[=]
<span class='line'>211</span> * @param op operator
<span class='line'>212</span> * @param q2 the second quotient
<span class='line'>213</span> * @return 計算後的結果
<span class='line'>214</span> * @see
<span class='line'>215</span> * &lt;a href="http://www.javaworld.com.tw/jute/post/view?bid=35&amp;id=30169&amp;tpg=1&amp;ppg=1&amp;sty=1&amp;age=0#30169" accessdate="2010/4/16 20:47">JavaWorld@TW Java論壇 - post.view&lt;/a>
<span class='line'>216</span> * @name CeL.data.math.quotient.prototype.count
<span class='line'>217</span> */</span><span class="WHIT">
<span class='line'>218</span> </span><span class="NAME">count</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">op</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q2</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>219</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">q</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>220</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">op.slice</span><span class="PUNC">(</span><span class="PUNC">-</span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'='</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>221</span> </span><span class="WHIT"> </span><span class="NAME">q</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">this</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">op.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NUMB">1</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>222</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'>223</span> </span><span class="WHIT"> </span><span class="NAME">q</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="KEYW">this</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>224</span>
<span class='line'>225</span> </span><span class="WHIT"> </span><span class="NAME">q2</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="NAME">q2</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>226</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>'+this.type+','+q.to_print_mode()+' , '+q2.to_print_mode());</span><span class="WHIT">
<span class='line'>227</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>228</span> </span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">q2.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'+'</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>229</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'/'</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>230</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>231</span> </span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'*'</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>232</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>233</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>'+q.to_print_mode(1)+','+q2.to_print_mode(1));</span><span class="WHIT">
<span class='line'>234</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'+'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>235</span> </span><span class="WHIT"> </span><span class="NAME">q.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q.n</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">q.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>236</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'*'</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>237</span> </span><span class="WHIT"> </span><span class="NAME">q.n</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>238</span> </span><span class="WHIT"> </span><span class="COMM">// N! 是指 N的階乘 (Factorial,power)</span><span class="WHIT">
<span class='line'>239</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">(</span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'**'</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="STRN">'^'</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">&&</span><span class="WHIT"> </span><span class="NAME">q2.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">.</span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>240</span> </span><span class="WHIT"> </span><span class="NAME">q.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q.n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">Math.pow</span><span class="PUNC">(</span><span class="NAME">q.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q.d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">Math.pow</span><span class="PUNC">(</span><span class="NAME">q.d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>241</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">q</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>242</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>243</span> </span><span class="WHIT"> </span><span class="NAME">library_namespace.err</span><span class="PUNC">(</span><span class="STRN">'illegal operator ['</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">op</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="STRN">']!'</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>244</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="KEYW">this</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>245</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>246</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>'+q.to_print_mode(1)+','+q2.to_print_mode(1));</span><span class="WHIT">
<span class='line'>247</span> </span><span class="WHIT"> </span><span class="COMM">// other: error</span><span class="WHIT">
<span class='line'>248</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>_'+q.reduce().to_print_mode());</span><span class="WHIT">
<span class='line'>249</span> </span><span class="WHIT"> </span><span class="KEYW">try</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>250</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">q.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>251</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT"> </span><span class="KEYW">catch</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">e</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>252</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>253</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">q</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>254</span> </span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>255</span>
<span class='line'>256</span> </span><span class="COMM">/**
<span class='line'>257</span> * 依指定基底轉成循環小數 circulating decimal / repeating decimal。
<span class='line'>258</span> * 特殊情況可以考慮使用 .toString()，會快很多。
<span class='line'>259</span> * TODO: 小數
<span class='line'>260</span> * @since 2004/7/9 13:28
<span class='line'>261</span> * @param base 基底
<span class='line'>262</span> * @param digit_char 循環小數 digit 字集
<span class='line'>263</span> * @return (decimal/數字部分string,repunitIndex/循環節Repetend出現在)
<span class='line'>264</span> * @see
<span class='line'>265</span> * &lt;a href="http://mathworld.wolfram.com/RepeatingDecimal.html" accessdate="2010/4/16 20:47">Repeating Decimal -- from Wolfram MathWorld&lt;/a>
<span class='line'>266</span> * &lt;a href="http://hk.geocities.com/goodprimes/OFrp.htm">循環小數與素數。素之異類。&lt;/a>
<span class='line'>267</span> * @name CeL.data.math.quotient.prototype.to_base
<span class='line'>268</span> */</span><span class="WHIT">
<span class='line'>269</span> </span><span class="NAME">to_base</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>270</span> </span><span class="WHIT"> </span><span class="COMM">//if (!isNaN(digit_char)) digit_char += '';</span><span class="WHIT">
<span class='line'>271</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="KEYW">typeof</span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="WHIT"> </span><span class="PUNC">!==</span><span class="WHIT"> </span><span class="STRN">'string'</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">digit_char.length</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>272</span> </span><span class="WHIT"> </span><span class="COMM">// 字集</span><span class="WHIT">
<span class='line'>273</span> </span><span class="WHIT"> </span><span class="NAME">digit_char</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">_.digit_char</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>274</span>
<span class='line'>275</span> </span><span class="WHIT"> </span><span class="COMM">// 基底預設為 10 進位</span><span class="WHIT">
<span class='line'>276</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="PUNC">(</span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">Math.floor</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">==</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT">
<span class='line'>277</span> </span><span class="WHIT"> </span><span class="COMM">// illegal base</span><span class="WHIT">
<span class='line'>278</span> </span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">base</span><span class="WHIT"> </span><span class="PUNC">></span><span class="WHIT"> </span><span class="NAME">digit_char.length</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>279</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">this.to_decimal</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>280</span>
<span class='line'>281</span> </span><span class="WHIT"> </span><span class="NAME">this.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>282</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">i</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>283</span> </span><span class="WHIT"> </span><span class="COMM">// find base 的因數(factor)</span><span class="WHIT">
<span class='line'>284</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">factorization</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>285</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>286</span> </span><span class="WHIT"> </span><span class="COMM">// 負數</span><span class="WHIT">
<span class='line'>287</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">o</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>288</span>
<span class='line'>289</span> </span><span class="WHIT"> </span><span class="COMM">// find 分母的因數(factor)與基底 base 之交集(不能用gcd)</span><span class="WHIT">
<span class='line'>290</span> </span><span class="WHIT"> </span><span class="KEYW">for</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">f.length</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>291</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">[</span><span class="NAME">i</span><span class="PUNC">]</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>292</span> </span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">[</span><span class="NAME">i</span><span class="PUNC">]</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">[</span><span class="NAME">i</span><span class="PUNC">]</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>293</span>
<span class='line'>294</span> </span><span class="WHIT"> </span><span class="COMM">// get 整數 integer 部分 → out</span><span class="WHIT">
<span class='line'>295</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>296</span> </span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>297</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">''</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>298</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">i</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>299</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">i</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">digit_char.charAt</span><span class="PUNC">(</span><span class="NAME">t</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>300</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">o</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>301</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'0'</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>302</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>_' + typeof o + ',' + (o || '(null)') + ',' + o);</span><span class="WHIT">
<span class='line'>303</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>304</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>305</span>
<span class='line'>306</span> </span><span class="WHIT"> </span><span class="COMM">// 進入小數</span><span class="WHIT">
<span class='line'>307</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'.'</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>308</span>
<span class='line'>309</span> </span><span class="WHIT"> </span><span class="COMM">// set 餘數f/分母d, 餘數residue mark r=f, 循環節 Repetend location of out:l, 已解決的因數 s</span><span class="WHIT">
<span class='line'>310</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">r</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.length</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>311</span>
<span class='line'>312</span> </span><span class="WHIT"> </span><span class="COMM">// do main loop</span><span class="WHIT">
<span class='line'>313</span> </span><span class="WHIT"> </span><span class="COMM">// while(o.length-l&lt;d){ // 限制?位: debug用</span><span class="WHIT">
<span class='line'>314</span> </span><span class="WHIT"> </span><span class="KEYW">for</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">;</span><span class="PUNC">;</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>315</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>.'+r+','+f+'/'+d+'('+base+'),'+s+':'+g+','+o);</span><span class="WHIT">
<span class='line'>316</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>317</span> </span><span class="WHIT"> </span><span class="COMM">// 可以整除，無循環。</span><span class="WHIT">
<span class='line'>318</span> </span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>319</span> </span><span class="WHIT"> </span><span class="KEYW">break</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>320</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>321</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>322</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NAME">g</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>323</span> </span><span class="WHIT"> </span><span class="COMM">// 分母與 base 已互質</span><span class="WHIT">
<span class='line'>324</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">digit_char.charAt</span><span class="PUNC">(</span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>325</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NAME">r</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>326</span> </span><span class="WHIT"> </span><span class="COMM">// bingo! 餘數重複出現，循環節結束。</span><span class="WHIT">
<span class='line'>327</span> </span><span class="WHIT"> </span><span class="KEYW">break</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>328</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>329</span> </span><span class="WHIT"> </span><span class="COMM">// f 與 d 已互質</span><span class="WHIT">
<span class='line'>330</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">gcd</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>331</span> </span><span class="WHIT"> </span><span class="COMM">// do the same thing</span><span class="WHIT">
<span class='line'>332</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">digit_char.charAt</span><span class="PUNC">(</span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>333</span> </span><span class="WHIT"> </span><span class="COMM">// r 需重設..此處有否可能出問題? maybe not?</span><span class="WHIT">
<span class='line'>334</span> </span><span class="WHIT"> </span><span class="NAME">r</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.length</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>335</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>336</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>337</span>
<span class='line'>338</span> </span><span class="WHIT"> </span><span class="COMM">// 善後</span><span class="WHIT">
<span class='line'>339</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>340</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'('</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o.length</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="STRN">')'</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>341</span> </span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">_.repetend_separator</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o.substr</span><span class="PUNC">(</span><span class="NAME">l</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>342</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">m</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>343</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>344</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>345</span> </span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>346</span>
<span class='line'>347</span> </span><span class="COMM">/**
<span class='line'>348</span> * 為十進位最佳化的 to_base()&lt;br/>
<span class='line'>349</span> * 以結論來說，好像快不了多少?
<span class='line'>350</span> * @since 2004/7/9 13:47
<span class='line'>351</span> * @return
<span class='line'>352</span> * @name CeL.data.math.quotient.prototype.to_decimal
<span class='line'>353</span> */</span><span class="WHIT">
<span class='line'>354</span> </span><span class="NAME">to_decimal</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>355</span> </span><span class="WHIT"> </span><span class="NAME">this.reduce</span><span class="PUNC">(</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>356</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>357</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>358</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NAME">o</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT"> </span><span class="COMM">// 負數</span><span class="WHIT">
<span class='line'>359</span>
<span class='line'>360</span> </span><span class="WHIT"> </span><span class="COMM">// find 分母的 2,5 因數</span><span class="WHIT">
<span class='line'>361</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>362</span> </span><span class="WHIT"> </span><span class="COMM">// 使用下面這行會造成 bug: 輸出 .110011001100110011001100110011001100(2) 會導致 g===t===0, 掛掉</span><span class="WHIT">
<span class='line'>363</span> </span><span class="WHIT"> </span><span class="COMM">// 以結論來說，好像快不了多少?</span><span class="WHIT">
<span class='line'>364</span> </span><span class="WHIT"> </span><span class="COMM">//g &lt;&lt;= 1, t >>= 1;</span><span class="WHIT">
<span class='line'>365</span> </span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>366</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">5</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>367</span> </span><span class="WHIT"> </span><span class="NAME">g</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">5</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">5</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>368</span>
<span class='line'>369</span> </span><span class="WHIT"> </span><span class="COMM">// get 整數 integer 部分 → out</span><span class="WHIT">
<span class='line'>370</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>371</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>_'+typeof o+','+(o||'(null)')+','+o);</span><span class="WHIT">
<span class='line'>372</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>373</span> </span><span class="WHIT"> </span><span class="COMM">// 留下+-</span><span class="WHIT">
<span class='line'>374</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">m</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="STRN">''</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>375</span>
<span class='line'>376</span> </span><span class="WHIT"> </span><span class="COMM">// 進入小數</span><span class="WHIT">
<span class='line'>377</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'.'</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>378</span>
<span class='line'>379</span> </span><span class="WHIT"> </span><span class="COMM">// set 餘數f/分母d, 餘數 residue mark r=f, 循環節 Repetend location of out:l, 已解決的因數 s</span><span class="WHIT">
<span class='line'>380</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">r</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.length</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>381</span>
<span class='line'>382</span> </span><span class="WHIT"> </span><span class="COMM">// do main loop</span><span class="WHIT">
<span class='line'>383</span> </span><span class="WHIT"> </span><span class="COMM">// while(o.length-l&lt;d){// 限制?位:debug用</span><span class="WHIT">
<span class='line'>384</span> </span><span class="WHIT"> </span><span class="KEYW">for</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">;</span><span class="PUNC">;</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>385</span> </span><span class="WHIT"> </span><span class="COMM">//library_namespace.debug('&lt;br/>.'+r+','+f+'/'+d+','+s+':'+g+','+o);</span><span class="WHIT">
<span class='line'>386</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>387</span> </span><span class="WHIT"> </span><span class="COMM">// 可以整除，無循環。</span><span class="WHIT">
<span class='line'>388</span> </span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>389</span> </span><span class="WHIT"> </span><span class="KEYW">break</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>390</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>391</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>392</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NAME">g</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>393</span> </span><span class="WHIT"> </span><span class="COMM">// 分母與 base 已互質</span><span class="WHIT">
<span class='line'>394</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>395</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NAME">r</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>396</span> </span><span class="WHIT"> </span><span class="COMM">// bingo! 循環節結束</span><span class="WHIT">
<span class='line'>397</span> </span><span class="WHIT"> </span><span class="KEYW">break</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>398</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>399</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">5</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">0</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="NUMB">10</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="NUMB">5</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">s</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">d</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">t</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>400</span> </span><span class="WHIT"> </span><span class="COMM">// do the same thing</span><span class="WHIT">
<span class='line'>401</span> </span><span class="WHIT"> </span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">t</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">d</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>402</span> </span><span class="WHIT"> </span><span class="COMM">// r 需重設..此處有否可能出問題? maybe not?</span><span class="WHIT">
<span class='line'>403</span> </span><span class="WHIT"> </span><span class="NAME">r</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.length</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>404</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>405</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>406</span>
<span class='line'>407</span> </span><span class="WHIT"> </span><span class="COMM">// 善後</span><span class="WHIT">
<span class='line'>408</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>409</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'('</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">o.length</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="STRN">')'</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>410</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">o.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">l</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">_.repetend_separator</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o.substr</span><span class="PUNC">(</span><span class="NAME">l</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>411</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">m</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>412</span> </span><span class="WHIT"> </span><span class="NAME">o</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="STRN">'-'</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>413</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">o</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>414</span> </span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>415</span>
<span class='line'>416</span>
<span class='line'>417</span> </span><span class="COMM">/*
<span class='line'>418</span> 有效位數、小數位數 http://technet.microsoft.com/zh-tw/library/ms190476.aspx
<span class='line'>419</span> Precision, Scale
<span class='line'>420</span> 有效位數是數字的位數。小數位數是數字中在小數點右側的位數。例如，123.45 這個數字的有效位數是 5，小數位數是 2。
<span class='line'>421</span> Precision is the number of digits in a number. Scale is the number of digits to the right of the decimal point in a number. For example, the number 123.45 has a precision of 5 and a scale of 2.
<span class='line'>422</span> */</span><span class="WHIT">
<span class='line'>423</span>
<span class='line'>424</span> </span><span class="COMM">/**
<span class='line'>425</span> * 顯示成各種不同模式的數字
<span class='line'>426</span> * @since 2004/7/9 14:23
<span class='line'>427</span> * @param mode 顯示模式
<span class='line'>428</span> * 0 假分數 improper fraction,
<span class='line'>429</span> * 1 帶分數 mixed number,
<span class='line'>430</span> * 2 直接除(10進位),
<span class='line'>431</span> * 3 轉成循環小數,除至小數點下digit位數（非四捨五入！）.
<span class='line'>432</span> * @param base 基底
<span class='line'>433</span> * @param sum_char 顯示帶分數時代表整數與真分數之間的分隔。多為' '或'+'或''。
<span class='line'>434</span> * @param digit 轉成循環小數時，代表循環小數 digit 字集
<span class='line'>435</span> * @return {String} 顯示模式數字
<span class='line'>436</span> * @name CeL.data.math.quotient.prototype.to_print_mode
<span class='line'>437</span> */</span><span class="WHIT">
<span class='line'>438</span> </span><span class="NAME">to_print_mode</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">mode</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">sum_char</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">digit</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>439</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">mode</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NUMB">3</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="PUNC">!</span><span class="NAME">mode</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>440</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">mode</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">2</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>441</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>442</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>443</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="PUNC">!</span><span class="NAME">mode</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>444</span> </span><span class="WHIT"> </span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="STRN">'/'</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>445</span> </span><span class="WHIT"> </span><span class="KEYW">else</span><span class="WHIT">
<span class='line'>446</span> </span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">%</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>447</span> </span><span class="WHIT"> </span><span class="NAME">p</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">/</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="WHIT">
<span class='line'>448</span> </span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">sum_char</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="STRN">'+'</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="STRN">'/'</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="STRN">''</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>449</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">p</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>450</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>451</span>
<span class='line'>452</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">mode</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="NUMB">3</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>453</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">this.to_base</span><span class="PUNC">(</span><span class="NAME">base</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">sum_char</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>454</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">isNaN</span><span class="PUNC">(</span><span class="NAME">digit</span><span class="PUNC">)</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>455</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>456</span> </span><span class="WHIT"> </span><span class="KEYW">var</span><span class="WHIT"> </span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.indexOf</span><span class="PUNC">(</span><span class="NAME">_.repetend_separator</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">b</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.indexOf</span><span class="PUNC">(</span><span class="STRN">'.'</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>457</span> </span><span class="WHIT"> </span><span class="KEYW">if</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NUMB">1</span><span class="WHIT"> </span><span class="PUNC">||</span><span class="WHIT"> </span><span class="PUNC">!</span><span class="NAME">digit</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>458</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">b</span><span class="WHIT"> </span><span class="PUNC">===</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="NUMB">1</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT">
<span class='line'>459</span> </span><span class="WHIT"> </span><span class="NAME">digit</span><span class="WHIT"> </span><span class="PUNC">?</span><span class="WHIT"> </span><span class="NAME">n.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">b</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NAME">digit</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="NAME">n.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">b</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>460</span> </span><span class="WHIT"> </span><span class="NAME">digit</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">b</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>461</span> </span><span class="WHIT"> </span><span class="COMM">// 循環節</span><span class="WHIT">
<span class='line'>462</span> </span><span class="WHIT"> </span><span class="NAME">b</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.substr</span><span class="PUNC">(</span><span class="NAME">f</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="WHIT"> </span><span class="NUMB">1</span><span class="PUNC">)</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>463</span> </span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">n.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">f</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>464</span> </span><span class="WHIT"> </span><span class="KEYW">while</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="NAME">n.length</span><span class="WHIT"> </span><span class="PUNC">&lt;</span><span class="WHIT"> </span><span class="NAME">digit</span><span class="PUNC">)</span><span class="WHIT">
<span class='line'>465</span> </span><span class="WHIT"> </span><span class="NAME">n</span><span class="WHIT"> </span><span class="PUNC">+</span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">b</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>466</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">n.slice</span><span class="PUNC">(</span><span class="NUMB">0</span><span class="PUNC">,</span><span class="WHIT"> </span><span class="NAME">digit</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>467</span> </span><span class="WHIT"> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>468</span> </span><span class="PUNC">}</span><span class="PUNC">,</span><span class="WHIT">
<span class='line'>469</span>
<span class='line'>470</span> </span><span class="COMM">/**
<span class='line'>471</span> * 測試大小
<span class='line'>472</span> * @param q2 the second quotient
<span class='line'>473</span> * @return {Number} 0:==, &lt;0:&lt;, >0:>
<span class='line'>474</span> * @name CeL.data.math.quotient.prototype.compare_to
<span class='line'>475</span> */</span><span class="WHIT">
<span class='line'>476</span> </span><span class="NAME">compare_to</span><span class="WHIT"> </span><span class="PUNC">:</span><span class="WHIT"> </span><span class="KEYW">function</span><span class="PUNC">(</span><span class="NAME">q2</span><span class="PUNC">)</span><span class="WHIT"> </span><span class="PUNC">{</span><span class="WHIT">
<span class='line'>477</span> </span><span class="WHIT"> </span><span class="NAME">q2</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="KEYW">new</span><span class="WHIT"> </span><span class="NAME">_</span><span class="PUNC">(</span><span class="NAME">q2</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>478</span> </span><span class="WHIT"> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="NAME">this.n</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">q2.d</span><span class="WHIT"> </span><span class="PUNC">-</span><span class="WHIT"> </span><span class="NAME">this.d</span><span class="WHIT"> </span><span class="PUNC">*</span><span class="WHIT"> </span><span class="NAME">q2.n</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>479</span> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>480</span>
<span class='line'>481</span> </span><span class="PUNC">}</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>482</span>
<span class='line'>483</span> </span><span class="COMM">// setup toString function</span><span class="WHIT">
<span class='line'>484</span> </span><span class="NAME">_.prototype.toString</span><span class="WHIT"> </span><span class="PUNC">=</span><span class="WHIT"> </span><span class="NAME">_.prototype.to_print_mode</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>485</span>
<span class='line'>486</span>
<span class='line'>487</span>
<span class='line'>488</span> </span><span class="KEYW">return</span><span class="WHIT"> </span><span class="PUNC">(</span><span class="WHIT">
<span class='line'>489</span> </span><span class="WHIT"> </span><span class="NAME">CeL.data.math.quotient</span><span class="WHIT">
<span class='line'>490</span> </span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>491</span> </span><span class="PUNC">}</span><span class="WHIT">
<span class='line'>492</span>
<span class='line'>493</span>
<span class='line'>494</span> </span><span class="PUNC">}</span><span class="PUNC">)</span><span class="PUNC">;</span><span class="WHIT">
<span class='line'>495</span>
<span class='line'>496</span> </span></pre></body></html>
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