1 | <html> |
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2 | <head> |
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3 | <title>Clocking recursion combinators</title> |
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4 | <style type="text/css"> |
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5 | @import "../../../dojo/resources/dojo.css"; |
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6 | </style> |
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7 | <script type="text/javascript" src="../../../dojo/dojo.js" data-dojo-config="isDebug:true"></script> |
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8 | <script type="text/javascript" src="../functional.js"></script> |
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9 | <script type="text/javascript" src="../functional/linrec.js"></script> |
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10 | <script type="text/javascript" src="../functional/tailrec.js"></script> |
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11 | <script type="text/javascript" src="../functional/numrec.js"></script> |
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12 | <script type="text/javascript" src="../functional/binrec.js"></script> |
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13 | <script type="text/javascript" src="../functional/multirec.js"></script> |
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14 | <script type="text/javascript" src="../functional/sequence.js"></script> |
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15 | <script type="text/javascript"> |
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16 | // reference implementations |
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17 | |
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18 | var linrec1 = function(cond, then, before, after){ |
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19 | var cond = df.lambda(cond), |
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20 | then = df.lambda(then), |
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21 | before = df.lambda(before), |
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22 | after = df.lambda(after); |
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23 | return function(){ |
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24 | if(cond.apply(this, arguments)){ |
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25 | return then.apply(this, arguments); |
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26 | } |
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27 | var args = before.apply(this, arguments); |
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28 | var ret = arguments.callee.apply(this, args); |
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29 | return after.call(this, ret, arguments); |
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30 | }; |
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31 | }; |
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32 | |
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33 | var linrec2 = function(cond, then, before, after){ |
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34 | var cond = df.lambda(cond), |
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35 | then = df.lambda(then), |
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36 | before = df.lambda(before), |
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37 | after = df.lambda(after); |
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38 | return function(){ |
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39 | var args = arguments, top, ret; |
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40 | // 1st part |
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41 | for(; !cond.apply(this, args); args = before.apply(this, args)){ |
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42 | top = {prev: top, args: args}; |
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43 | } |
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44 | ret = then.apply(this, args); |
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45 | //2nd part |
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46 | for(; top; top = top.prev){ |
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47 | ret = after.call(this, ret, top.args); |
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48 | } |
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49 | return ret; |
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50 | }; |
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51 | }; |
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52 | |
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53 | var tailrec1 = function(cond, then, before){ |
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54 | var cond = df.lambda(cond), |
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55 | then = df.lambda(then), |
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56 | before = df.lambda(before); |
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57 | return function(){ |
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58 | if(cond.apply(this, arguments)){ |
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59 | return then.apply(this, arguments); |
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60 | } |
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61 | var args = before.apply(this, arguments); |
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62 | return arguments.callee.apply(this, args); |
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63 | }; |
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64 | }; |
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65 | |
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66 | var tailrec2 = function(cond, then, before){ |
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67 | var cond = df.lambda(cond), |
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68 | then = df.lambda(then), |
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69 | before = df.lambda(before); |
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70 | return function(){ |
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71 | var args = arguments; |
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72 | for(; !cond.apply(this, args); args = before.apply(this, args)); |
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73 | return then.apply(this, args); |
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74 | }; |
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75 | }; |
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76 | |
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77 | var numrec1 = function(then, after){ |
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78 | var after = df.lambda(after); |
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79 | return function(x){ |
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80 | return x ? after.call(this, arguments.callee.call(this, x - 1), x) : then; |
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81 | }; |
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82 | }; |
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83 | |
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84 | var numrec2 = function(then, after){ |
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85 | var after = df.lambda(after); |
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86 | return function(x){ |
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87 | var ret = then, i; |
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88 | for(i = 1; i <= x; ++i){ |
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89 | ret = after.call(this, ret, i); |
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90 | } |
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91 | return ret; |
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92 | }; |
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93 | }; |
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94 | |
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95 | var binrec1 = function(cond, then, before, after){ |
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96 | var cond = df.lambda(cond), |
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97 | then = df.lambda(then), |
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98 | before = df.lambda(before), |
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99 | after = df.lambda(after); |
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100 | return function(){ |
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101 | if(cond.apply(this, arguments)){ |
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102 | return then.apply(this, arguments); |
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103 | } |
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104 | var args = before.apply(this, arguments); |
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105 | var ret1 = arguments.callee.apply(this, args[0]); |
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106 | var ret2 = arguments.callee.apply(this, args[1]); |
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107 | return after.call(this, ret1, ret2, arguments); |
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108 | }; |
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109 | }; |
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110 | |
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111 | var binrec2 = function(cond, then, before, after){ |
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112 | var cond = df.lambda(cond), |
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113 | then = df.lambda(then), |
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114 | before = df.lambda(before), |
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115 | after = df.lambda(after); |
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116 | return function(){ |
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117 | var top1, top2, ret, args = arguments; |
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118 | // first part: start the pump |
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119 | while(!cond.apply(this, args)){ |
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120 | ret = before.apply(this, args); |
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121 | top1 = {prev: top1, args: ret[1]}; |
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122 | top2 = {prev: top2, args: args}; |
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123 | args = ret[0]; |
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124 | } |
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125 | for(;;){ |
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126 | // second part: mop up |
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127 | do{ |
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128 | ret = then.apply(this, args); |
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129 | if(!top2){ |
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130 | return ret; |
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131 | } |
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132 | while("ret" in top2){ |
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133 | ret = after.call(this, top2.ret, ret, top2.args); |
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134 | if(!(top2 = top2.prev)){ |
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135 | return ret; |
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136 | } |
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137 | } |
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138 | top2.ret = ret; |
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139 | args = top1.args; |
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140 | top1 = top1.prev; |
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141 | }while(cond.apply(this, args)); |
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142 | // first part (encore) |
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143 | do{ |
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144 | ret = before.apply(this, args); |
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145 | top1 = {prev: top1, args: ret[1]}; |
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146 | top2 = {prev: top2, args: args}; |
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147 | args = ret[0]; |
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148 | }while(!cond.apply(this, args)); |
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149 | } |
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150 | }; |
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151 | }; |
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152 | |
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153 | var multirec1 = function(cond, then, before, after){ |
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154 | var cond = df.lambda(cond), |
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155 | then = df.lambda(then), |
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156 | before = df.lambda(before), |
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157 | after = df.lambda(after); |
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158 | return function(){ |
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159 | if(cond.apply(this, arguments)){ |
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160 | return then.apply(this, arguments); |
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161 | } |
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162 | var args = before.apply(this, arguments), |
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163 | ret = new Array(args.length); |
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164 | for(var i = 0; i < args.length; ++i){ |
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165 | ret[i] = arguments.callee.apply(this, args[i]); |
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166 | } |
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167 | return after.call(this, ret, arguments); |
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168 | }; |
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169 | }; |
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170 | |
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171 | var multirec2 = function(cond, then, before, after){ |
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172 | var cond = df.lambda(cond), |
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173 | then = df.lambda(then), |
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174 | before = df.lambda(before), |
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175 | after = df.lambda(after); |
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176 | return function(){ |
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177 | var top = {args: arguments}, args, ret, parent, i; |
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178 | for(;;){ |
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179 | for(;;){ |
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180 | if(top.old){ |
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181 | ret = after.call(this, top.ret, top.old); |
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182 | break; |
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183 | } |
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184 | args = top.args; |
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185 | if(cond.apply(this, args)){ |
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186 | ret = then.apply(this, args); |
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187 | break; |
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188 | } |
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189 | top.old = args; |
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190 | args = before.apply(this, args); |
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191 | top.ret = []; |
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192 | parent = top; |
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193 | for(i = args.length - 1; i >= 0; --i){ |
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194 | top = {prev: top, args: args[i], parent: parent}; |
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195 | } |
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196 | } |
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197 | if(!(parent = top.parent)){ |
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198 | return ret; |
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199 | } |
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200 | parent.ret.push(ret); |
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201 | top = top.prev; |
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202 | } |
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203 | }; |
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204 | }; |
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205 | |
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206 | // tests |
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207 | |
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208 | var clock = function(body){ |
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209 | var b = new Date(); |
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210 | body(); |
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211 | var e = new Date(); |
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212 | return e.getTime() - b.getTime(); // in ms |
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213 | }; |
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214 | |
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215 | var log = function(name, body){ |
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216 | var ms = clock(body); |
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217 | console.log(name + ":", ms); |
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218 | }; |
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219 | |
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220 | var LEN1 = 15, LEN2 = 10, ITER = 1000, tests = {}, |
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221 | df = dojox.lang.functional, |
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222 | sample1 = df.repeat(LEN1, "+1", 0), |
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223 | sample2 = df.repeat(LEN2, "+1", 0); |
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224 | |
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225 | var fact1 = function(n){ |
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226 | var ret = 1; |
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227 | for(var i = 2; i <= n; ++i){ |
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228 | ret *= i; |
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229 | } |
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230 | return ret; |
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231 | }; |
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232 | tests["factorial: raw iterative"] = function(){ |
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233 | for(var i = 0; i < ITER; ++i){ |
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234 | df.forEach(sample1, fact1); |
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235 | } |
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236 | }; |
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237 | |
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238 | var fact2 = function(n){ return n ? n * arguments.callee.call(this, n - 1) : 1; }; |
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239 | tests["factorial: raw recursion"] = function(){ |
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240 | for(var i = 0; i < ITER; ++i){ |
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241 | df.forEach(sample1, fact2); |
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242 | } |
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243 | }; |
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244 | |
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245 | var fact3_1 = linrec1("<= 1", "1", "[n - 1]", "a * b[0]"); |
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246 | tests["factorial: linrec1 (recursive reference)"] = function(){ |
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247 | for(var i = 0; i < ITER; ++i){ |
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248 | df.forEach(sample1, fact3_1); |
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249 | } |
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250 | }; |
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251 | |
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252 | var fact3_2 = linrec2("<= 1", "1", "[n - 1]", "a * b[0]"); |
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253 | tests["factorial: linrec2 (iterative reference)"] = function(){ |
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254 | for(var i = 0; i < ITER; ++i){ |
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255 | df.forEach(sample1, fact3_2); |
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256 | } |
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257 | }; |
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258 | |
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259 | var fact3 = df.linrec("<= 1", "1", "[n - 1]", "a * b[0]"); |
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260 | tests["factorial: linrec"] = function(){ |
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261 | for(var i = 0; i < ITER; ++i){ |
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262 | df.forEach(sample1, fact3); |
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263 | } |
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264 | }; |
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265 | |
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266 | var fact4_1 = numrec1(1, "*"); |
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267 | tests["factorial: numrec1 (recursive reference)"] = function(){ |
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268 | for(var i = 0; i < ITER; ++i){ |
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269 | df.forEach(sample1, fact4_1); |
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270 | } |
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271 | }; |
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272 | |
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273 | var fact4_2 = numrec2(1, "*"); |
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274 | tests["factorial: numrec2 (iterative reference)"] = function(){ |
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275 | for(var i = 0; i < ITER; ++i){ |
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276 | df.forEach(sample1, fact4_2); |
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277 | } |
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278 | }; |
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279 | |
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280 | var fact4 = df.numrec(1, "*"); |
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281 | tests["factorial: numrec"] = function(){ |
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282 | for(var i = 0; i < ITER; ++i){ |
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283 | df.forEach(sample1, fact4); |
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284 | } |
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285 | }; |
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286 | |
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287 | var fact5_1a = tailrec1("<= 1", "a, b -> b", "[n - 1, n * acc]"); |
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288 | var fact5_1 = function(n){ return fact5_1a(n, 1); }; |
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289 | tests["factorial: tailrec1 (recursive reference)"] = function(){ |
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290 | for(var i = 0; i < ITER; ++i){ |
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291 | df.forEach(sample1, fact5_1); |
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292 | } |
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293 | }; |
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294 | |
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295 | var fact5_2a = tailrec2("<= 1", "a, b -> b", "[n - 1, n * acc]"); |
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296 | var fact5_2 = function(n){ return fact5_2a(n, 1); }; |
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297 | tests["factorial: tailrec2 (iterative reference)"] = function(){ |
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298 | for(var i = 0; i < ITER; ++i){ |
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299 | df.forEach(sample1, fact5_2); |
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300 | } |
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301 | }; |
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302 | |
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303 | var fact5a = df.tailrec("<= 1", "a, b -> b", "[n - 1, n * acc]"); |
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304 | var fact5 = function(n){ return fact5a(n, 1); }; |
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305 | tests["factorial: tailrec"] = function(){ |
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306 | for(var i = 0; i < ITER; ++i){ |
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307 | df.forEach(sample1, fact5); |
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308 | } |
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309 | }; |
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310 | |
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311 | var fact6_1 = multirec1("<= 0", "1", "[[n - 1]]", "a[0] * b[0]"); |
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312 | tests["factorial: multirec1 (recursive reference)"] = function(){ |
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313 | for(var i = 0; i < ITER; ++i){ |
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314 | df.forEach(sample1, fact6_1); |
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315 | } |
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316 | }; |
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317 | |
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318 | var fact6_2 = multirec2("<= 0", "1", "[[n - 1]]", "a[0] * b[0]"); |
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319 | tests["factorial: multirec2 (iterative reference)"] = function(){ |
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320 | for(var i = 0; i < ITER; ++i){ |
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321 | df.forEach(sample1, fact6_2); |
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322 | } |
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323 | }; |
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324 | |
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325 | var fact6 = df.multirec("<= 0", "1", "[[n - 1]]", "a[0] * b[0]"); |
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326 | tests["factorial: multirec"] = function(){ |
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327 | for(var i = 0; i < ITER; ++i){ |
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328 | df.forEach(sample1, fact6); |
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329 | } |
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330 | }; |
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331 | |
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332 | var fib1 = function(n){ |
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333 | var a = 1, b = 1; |
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334 | for(var i = 2; i <= n; ++i){ |
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335 | var c = a + b; |
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336 | b = a; |
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337 | a = c; |
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338 | } |
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339 | return a; |
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340 | }; |
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341 | tests["fibonacci: raw iterative"] = function(){ |
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342 | for(var i = 0; i < ITER; ++i){ |
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343 | df.forEach(sample2, fib1); |
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344 | } |
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345 | }; |
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346 | |
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347 | var fib2 = function(n){ return n <= 1 ? 1 : arguments.callee.call(this, n - 1) + arguments.callee.call(this, n - 2); }; |
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348 | tests["fibonacci: raw recursion"] = function(){ |
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349 | for(var i = 0; i < ITER; ++i){ |
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350 | df.forEach(sample2, fib2); |
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351 | } |
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352 | }; |
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353 | |
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354 | var fib3a = function(n, next, result){ return n <= 0 ? result : arguments.callee.call(this, n - 1, next + result, next); }; |
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355 | var fib3 = function(n){ return fib3a(n, 1, 1); }; |
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356 | tests["fibonacci: raw tail recursion"] = function(){ |
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357 | for(var i = 0; i < ITER; ++i){ |
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358 | df.forEach(sample2, fib3); |
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359 | } |
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360 | }; |
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361 | |
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362 | var fib4_1 = binrec1("<= 1", "1", "[[n - 1], [n - 2]]", "+"); |
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363 | tests["fibonacci: binrec1 (recursive reference)"] = function(){ |
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364 | for(var i = 0; i < ITER; ++i){ |
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365 | df.forEach(sample2, fib4_1); |
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366 | } |
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367 | }; |
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368 | |
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369 | var fib4_2 = binrec2("<= 1", "1", "[[n - 1], [n - 2]]", "+"); |
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370 | tests["fibonacci: binrec2 (iterative reference)"] = function(){ |
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371 | for(var i = 0; i < ITER; ++i){ |
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372 | df.forEach(sample2, fib4_2); |
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373 | } |
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374 | }; |
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375 | |
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376 | var fib4 = df.binrec("<= 1", "1", "[[n - 1], [n - 2]]", "+"); |
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377 | tests["fibonacci: binrec"] = function(){ |
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378 | for(var i = 0; i < ITER; ++i){ |
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379 | df.forEach(sample2, fib4); |
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380 | } |
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381 | }; |
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382 | |
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383 | var fib5_1a = tailrec1("<= 0", "a, b, c -> c", "[n - 1, next + result, next]"); |
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384 | var fib5_1 = function(n){ return fib5_1a(n, 1, 1); }; |
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385 | tests["fibonacci: tailrec1 (recursive reference)"] = function(){ |
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386 | for(var i = 0; i < ITER; ++i){ |
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387 | df.forEach(sample2, fib5_1); |
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388 | } |
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389 | }; |
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390 | |
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391 | var fib5_2a = tailrec2("<= 0", "a, b, c -> c", "[n - 1, next + result, next]"); |
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392 | var fib5_2 = function(n){ return fib5_2a(n, 1, 1); }; |
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393 | tests["fibonacci: tailrec2 (iterative reference)"] = function(){ |
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394 | for(var i = 0; i < ITER; ++i){ |
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395 | df.forEach(sample2, fib5_2); |
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396 | } |
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397 | }; |
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398 | |
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399 | var fib5a = df.tailrec("<= 0", "a, b, c -> c", "[n - 1, next + result, next]"); |
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400 | var fib5 = function(n){ return fib5a(n, 1, 1); }; |
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401 | tests["fibonacci: tailrec"] = function(){ |
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402 | for(var i = 0; i < ITER; ++i){ |
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403 | df.forEach(sample2, fib5); |
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404 | } |
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405 | }; |
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406 | |
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407 | var fib6_1 = multirec1("<= 1", "1", "[[n - 1], [n - 2]]", "a[0] + a[1]"); |
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408 | tests["fibonacci: multirec1 (recursive reference)"] = function(){ |
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409 | for(var i = 0; i < ITER; ++i){ |
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410 | df.forEach(sample2, fib6_1); |
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411 | } |
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412 | }; |
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413 | |
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414 | var fib6_2 = multirec2("<= 1", "1", "[[n - 1], [n - 2]]", "a[0] + a[1]"); |
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415 | tests["fibonacci: multirec2 (iterative reference)"] = function(){ |
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416 | for(var i = 0; i < ITER; ++i){ |
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417 | df.forEach(sample2, fib6_2); |
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418 | } |
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419 | }; |
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420 | |
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421 | var fib6 = df.multirec("<= 1", "1", "[[n - 1], [n - 2]]", "a[0] + a[1]"); |
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422 | tests["fibonacci: multirec"] = function(){ |
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423 | for(var i = 0; i < ITER; ++i){ |
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424 | df.forEach(sample2, fib6); |
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425 | } |
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426 | }; |
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427 | |
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428 | var keys = df.keys(tests), i = 0; |
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429 | |
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430 | var doTest = function(){ |
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431 | log(keys[i], tests[keys[i]]); |
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432 | ++i; |
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433 | if(i < keys.length){ |
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434 | setTimeout(doTest, 20); |
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435 | }else{ |
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436 | console.log("that's all"); |
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437 | } |
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438 | }; |
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439 | |
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440 | var test = function(){ |
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441 | i = 0; |
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442 | setTimeout(doTest, 20); |
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443 | }; |
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444 | |
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445 | dojo.addOnLoad(function(){ |
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446 | // sanity check |
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447 | |
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448 | console.assert(fact1(5) == 120, "fact1"); |
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449 | console.assert(fact2(5) == 120, "fact2"); |
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450 | console.assert(fact3_1(5) == 120, "fact3_1"); |
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451 | console.assert(fact3_2(5) == 120, "fact3_2"); |
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452 | console.assert(fact3(5) == 120, "fact3"); |
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453 | console.assert(fact4_1(5) == 120, "fact4_1"); |
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454 | console.assert(fact4_2(5) == 120, "fact4_2"); |
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455 | console.assert(fact4(5) == 120, "fact4"); |
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456 | console.assert(fact5_1(5) == 120, "fact5_1"); |
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457 | console.assert(fact5_2(5) == 120, "fact5_2"); |
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458 | console.assert(fact5(5) == 120, "fact5"); |
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459 | console.assert(fact6_1(5) == 120, "fact6_1"); |
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460 | console.assert(fact6_2(5) == 120, "fact6_2"); |
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461 | console.assert(fact6(5) == 120, "fact6"); |
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462 | |
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463 | console.assert(fib1(5) == 8, "fib1"); |
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464 | console.assert(fib2(5) == 8, "fib2"); |
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465 | console.assert(fib3(5) == 8, "fib3"); |
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466 | console.assert(fib4_1(5) == 8, "fib4_1"); |
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467 | console.assert(fib4_2(5) == 8, "fib4_2"); |
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468 | console.assert(fib4(5) == 8, "fib4"); |
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469 | console.assert(fib5_1(5) == 8, "fib5_1"); |
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470 | console.assert(fib5_2(5) == 8, "fib5_2"); |
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471 | console.assert(fib5(5) == 8, "fib5"); |
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472 | console.assert(fib6_1(5) == 8, "fib6_1"); |
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473 | console.assert(fib6_2(5) == 8, "fib6_2"); |
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474 | console.assert(fib6(5) == 8, "fib6"); |
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475 | |
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476 | console.log("sanity check finished"); |
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477 | }); |
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478 | </script> |
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479 | </head> |
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480 | <body> |
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481 | <p>This test is meant to run with Firebug. Open the console to see the output.</p> |
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482 | <p><button onclick="test()">Start</button></p> |
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483 | </body> |
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484 | </html> |
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