1 | // $Id: tst.lib,v 1.7 1998-05-24 09:04:13 obachman Exp $ |
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2 | //(obachman, last modified 2/13/98) |
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3 | ///////////////////////////////////////////////////////////////////////////// |
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4 | |
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5 | version="$Id: tst.lib,v 1.7 1998-05-24 09:04:13 obachman Exp $"; |
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6 | info=" |
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7 | LIBRARY: tst.lib PROCEDURES FOR RUNNING AUTOMATIC TST TESTS |
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8 | |
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9 | |
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10 | tst_system(s) returns string which is stdout of system(\"sh\", s) |
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11 | tst_ignore(any,[keyword], [link]) writes string(any) to link (or stdout), |
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12 | prepending prefix \"// ignore:\" |
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13 | tst_init() writes some identification data to stdout |
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14 | with tst_ignore |
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15 | tst_groebnerTest(ideal i) |
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16 | tests groebner command |
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17 | tst_stdEqual(ideal i1, ideal i2) |
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18 | test whether two std's are \"equal\" |
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19 | "; |
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20 | |
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21 | ///////////////////////////////////////////////////////////////////////////// |
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22 | |
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23 | proc tst_system(string s) |
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24 | "USAGE: tst_system(s); s string |
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25 | RETURN: string which is stdout and stderr of system(\"sh\", s) |
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26 | EXAMPLE: example tst_system; shows examples" |
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27 | { |
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28 | string tmpfile = "/tmp/tst_" + string(system("pid")); |
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29 | int errno; |
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30 | |
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31 | s = s + " 1>" + tmpfile + " 2>&1"; |
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32 | errno = system("sh", s); |
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33 | s = read(tmpfile); |
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34 | errno = system("sh", "rm " + tmpfile); |
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35 | return (s); |
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36 | } |
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37 | example |
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38 | { |
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39 | "EXAMPLE"; echo = 2; |
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40 | string s = tst_system("echo This is is an example of tst_system"); |
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41 | "The following is what the system call wrote to stdout: " + s; |
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42 | } |
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43 | |
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44 | |
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45 | proc tst_ignore |
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46 | "USAGE: tst_ignore(any,[keyword], [link]) |
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47 | any -- valid argument to string() |
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48 | keyword -- one of \"time\" or \"memory\" |
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49 | link -- a link which can be written to |
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50 | RETURN: none; writes string(any) to link (or stdout, if no link given), |
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51 | prepending prefix \"// ignore:\", or \"// ignore: time:\", |
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52 | \"//ignore: memory:\" if called with the respective keywords; |
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53 | should be used in tst files to output system dependent data |
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54 | (like date, pathnames) { and timings With the keyword \"time\", |
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55 | resp. memory usage with the keyword \"memory\" |
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56 | EXAMPLE: example tst_ignore; shows examples |
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57 | " |
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58 | { |
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59 | string s; |
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60 | string keyword = ""; |
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61 | link outlink = ""; |
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62 | |
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63 | // Check # of args |
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64 | if (size(#) < 1 || size(#) > 3) |
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65 | { |
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66 | "Error tst_ignore: Wrong number of arguments"; |
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67 | "Usage: tst_ignore (any,[keyword], [link]);"; |
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68 | return(); |
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69 | } |
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70 | |
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71 | // Get Args |
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72 | s = string(#[1]); |
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73 | if (size(#) == 3) |
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74 | { |
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75 | keyword = #[2]; |
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76 | outlink = #[3]; |
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77 | } |
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78 | if (size(#) == 2) |
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79 | { |
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80 | if (typeof(#[2]) == "string") |
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81 | { |
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82 | keyword = #[2]; |
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83 | } |
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84 | else |
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85 | { |
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86 | outlink = #[2]; |
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87 | } |
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88 | } |
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89 | |
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90 | // check args |
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91 | if (typeof(keyword) != "string") |
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92 | { |
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93 | "Error tst_ignore: Keyword must be a string"; |
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94 | "Usage: tst_ignore (any,[keyword], [link]);"; |
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95 | return(); |
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96 | } |
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97 | if (keyword == "time" || keyword == "memory") |
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98 | { |
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99 | keyword = keyword + ": "; |
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100 | } |
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101 | else |
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102 | { |
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103 | if (keyword != "") |
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104 | { |
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105 | "Warning tst_ignore: keyword should be \"time\" or \"memory\""; |
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106 | } |
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107 | } |
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108 | |
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109 | if (status(outlink, "open", "no")) |
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110 | { |
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111 | open(outlink); |
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112 | } |
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113 | if (status(outlink, "write", "not ready")) |
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114 | { |
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115 | "Error tst_ignore: Can not write to link"; |
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116 | outlink; |
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117 | "Usage: tst_ignore (any,[keyword], [link]);"; |
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118 | return(); |
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119 | } |
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120 | |
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121 | // ready -- do the actual work |
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122 | write(outlink, "// ignore: " + keyword + s); |
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123 | } |
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124 | example |
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125 | { |
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126 | "EXAMPLE"; |
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127 | "System independent data can safely be output in tst files;"; |
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128 | "However, system dependent data like dates, or pathnames, should be output"; |
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129 | "using the command tst_ignore(...), like"; |
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130 | echo = 2; |
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131 | tst_ignore(tst_system("date")); |
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132 | int t1 = timer; |
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133 | tst_ignore(t1, "time"); |
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134 | tst_ignore(memory(1), "memory"); |
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135 | } |
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136 | |
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137 | proc tst_init |
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138 | "USAGE: tst_init() |
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139 | RETURN: none; writes some identification data to stdout; |
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140 | should be called as first routine in a tst file |
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141 | EXAMPLE: example tst_init; shows example |
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142 | " |
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143 | { |
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144 | tst_ignore("USER : " + system("getenv", "USER")); |
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145 | tst_ignore("HOSTNAME: " + system("getenv", "HOST")); |
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146 | tst_ignore("uname -a: " + tst_system("uname -a")); |
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147 | tst_ignore("date : " + tst_system("date")); |
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148 | tst_ignore("version : " + string(system("version"))); |
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149 | } |
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150 | example |
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151 | { |
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152 | "EXAMPLE"; echo = 2; |
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153 | tst_init(); |
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154 | } |
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155 | |
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156 | /////////////////////////////////////////////////////////////////////// |
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157 | |
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158 | proc tst_groebnerTest(ideal i, list #) |
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159 | "USAGE: tst_groebnerTesti,[v]) : ideal i, [int v] |
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160 | RETURN: 1, if groebner command produced \"equal\" std as std command |
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161 | 0, otherwise |
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162 | Two std's are \"equal\" here, if their redSB's are element-wise equal, |
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163 | and if they reduce each other to zero, and if their leading ideals |
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164 | are equal |
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165 | On success, times of std - groebner is written with tst_ignore, and |
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166 | times are added to global variables tst_std_time and |
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167 | tst_groebner_time. If v given, and <= 0, short ideal |
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168 | characteristic is print, if v > 0, ideals are printed. |
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169 | On failure, Error message and ideals are printed. |
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170 | EXAMPLE: example tst_groebner; shows an example |
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171 | " |
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172 | { |
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173 | int st = timer; |
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174 | ideal si = std(i); |
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175 | st = timer - st; |
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176 | |
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177 | int gt = timer; |
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178 | ideal gi = groebner(i); |
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179 | gt = timer - gt; |
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180 | |
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181 | if (tst_stdEqual(si, gi)) |
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182 | { |
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183 | tst_ignore(string(st) + " - " + string(gt) + " == " + string(st - gt)); |
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184 | if (! defined(tst_groebner_time)) |
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185 | { |
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186 | int tst_groebner_time; |
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187 | int tst_std_time; |
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188 | export tst_groebner_time, tst_std_time; |
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189 | } |
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190 | tst_std_time = tst_std_time + st; |
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191 | tst_groebner_time = tst_groebner_time + gt; |
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192 | if (size(#)) |
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193 | { |
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194 | if (typeof(#[1] == "int")) |
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195 | { |
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196 | if (#[1] <= 0) |
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197 | { |
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198 | idPrintShort(si, "si"); |
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199 | idPrintShort(gi, "gi"); |
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200 | } |
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201 | else |
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202 | { |
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203 | si; |
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204 | gi; |
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205 | } |
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206 | } |
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207 | } |
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208 | return (1); |
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209 | } |
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210 | return (0); |
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211 | } |
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212 | example |
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213 | { |
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214 | "EXAMPLE: "; echo = 2; |
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215 | ring r = 0, (a,b,c,d), lp; |
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216 | ideal i = a+b+c+d, ab+ad+bc+cd, abc+abd+acd+bcd, abcd-1; // cyclic 4 |
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217 | tst_groebnerTest(i); |
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218 | tst_groebnerTest(i, 0); |
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219 | tst_groebnerTest(i, 1); |
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220 | } |
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221 | |
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222 | |
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223 | // |
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224 | // A routine which test for equality of "std-bases" |
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225 | // |
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226 | proc tst_stdEqual(ideal i1, ideal i2) |
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227 | "USAGE: tst_stdEqual(i1, i2) ideal i1, i2 |
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228 | RETURN 1, if i1 \"equald\" i2 as a std bases |
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229 | 0, otherwise |
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230 | Two std's are \"equal\" here, if their redSB's are element-wise equal, |
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231 | and if they reduce each other to zero, and if their leading ideals |
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232 | are equal |
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233 | On failure, error message is printed. |
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234 | EXAMPLE: example tst_stdEqual; shows an example |
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235 | " |
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236 | { |
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237 | int i; |
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238 | int back; |
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239 | intvec opts = option(get); |
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240 | option(redSB); |
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241 | |
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242 | ideal ri1 = simplify(interred(i1), 1); |
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243 | ideal ri2 = simplify(interred(i2), 1); |
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244 | |
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245 | option(set, opts); |
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246 | |
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247 | if (size(ri1) != size(ri2)) |
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248 | { |
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249 | "Error in tst_stdEqual: Reduced sizes differ"; |
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250 | size(ri1); |
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251 | size(ri2); |
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252 | return(0); |
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253 | } |
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254 | |
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255 | for (i=1; i<=size(ri1); i++) |
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256 | { |
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257 | if (ri1[i] != ri2[i]) |
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258 | { |
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259 | "Error in tst_stdEqual: " + string(i) + " th poly differ"; |
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260 | ri1[i]; |
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261 | ri2[i]; |
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262 | return(0); |
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263 | } |
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264 | } |
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265 | |
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266 | // reduced SB are now equal |
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267 | if (size(reduce(i1, i2, 1)) == 0) |
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268 | { |
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269 | if (size(reduce(i2, i1, 1)) == 0) |
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270 | { |
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271 | poly p1, p2; |
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272 | |
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273 | ideal si1 = simplify(i1, 7); |
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274 | ideal si2 = simplify(i2, 7); |
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275 | |
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276 | if (size(si1) == size(si2)) |
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277 | { |
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278 | for (i=1; i<=size(si1); i++) |
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279 | { |
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280 | p1 = p1 + lead(si1[i]); |
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281 | p2 = p2 + lead(si2[i]); |
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282 | } |
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283 | if (p1 != p2) |
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284 | { |
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285 | "Error in tst_stdEqual: Lead monoms differ:"; |
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286 | p1; |
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287 | p2; |
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288 | return(0); |
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289 | } |
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290 | } |
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291 | else |
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292 | { |
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293 | "Error in tst_stdEqual: size differs:"; |
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294 | size(si1); |
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295 | size(si2); |
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296 | return(0); |
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297 | } |
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298 | } |
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299 | else |
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300 | { |
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301 | "Error in tst_stdEqual: reduce(i2, i1) != 0"; |
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302 | return(0); |
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303 | } |
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304 | } |
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305 | else |
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306 | { |
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307 | back = 1; "Error in tst_stdEqual: reduce(i1, i2) != 0"; |
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308 | return(0); |
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309 | } |
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310 | |
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311 | return (1); |
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312 | } |
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313 | example |
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314 | { |
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315 | "EXAMPLE: "; echo = 2; |
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316 | ring r = 0, (a,b,c,d), lp; |
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317 | ideal i = a+b+c+d, ab+ad+bc+cd, abc+abd+acd+bcd, abcd-1; // cyclic 4 |
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318 | tst_stdEqual(groebner(i), std(i)); |
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319 | tst_stdEqual(std(i), i); |
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320 | } |
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321 | |
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322 | static proc idPrintShort(ideal id, string name) |
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323 | { |
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324 | "Summary of " + name + " (leading monoms and size of polys):"; |
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325 | int i; |
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326 | for (i = 1; i<=size(id); i++) |
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327 | { |
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328 | "[" + string(i) + "]: #" + string(size(id[i])) + ":" + string(lead(id[i])); |
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329 | } |
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330 | } |
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331 | |
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332 | |
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333 | |
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334 | |
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