1 | /**CFile*********************************************************************** |
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2 | |
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3 | FileName [testcudd.c] |
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4 | |
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5 | PackageName [cudd] |
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6 | |
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7 | Synopsis [Sanity check tests for some CUDD functions.] |
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8 | |
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9 | Description [testcudd reads a matrix with real coefficients and |
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10 | transforms it into an ADD. It then performs various operations on |
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11 | the ADD and on the BDD corresponding to the ADD pattern. Finally, |
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12 | testcudd tests functions relate to Walsh matrices and matrix |
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13 | multiplication.] |
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14 | |
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15 | SeeAlso [] |
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16 | |
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17 | Author [Fabio Somenzi] |
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18 | |
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19 | Copyright [Copyright (c) 1995-2004, Regents of the University of Colorado |
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20 | |
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21 | All rights reserved. |
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22 | |
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23 | Redistribution and use in source and binary forms, with or without |
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24 | modification, are permitted provided that the following conditions |
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25 | are met: |
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26 | |
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27 | Redistributions of source code must retain the above copyright |
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28 | notice, this list of conditions and the following disclaimer. |
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29 | |
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30 | Redistributions in binary form must reproduce the above copyright |
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31 | notice, this list of conditions and the following disclaimer in the |
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32 | documentation and/or other materials provided with the distribution. |
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33 | |
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34 | Neither the name of the University of Colorado nor the names of its |
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35 | contributors may be used to endorse or promote products derived from |
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36 | this software without specific prior written permission. |
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37 | |
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38 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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39 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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40 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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41 | FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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42 | COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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43 | INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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44 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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45 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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46 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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47 | LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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48 | ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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49 | POSSIBILITY OF SUCH DAMAGE.] |
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50 | |
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51 | ******************************************************************************/ |
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52 | |
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53 | #include "util.h" |
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54 | #include "cuddInt.h" |
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55 | |
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56 | |
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57 | /*---------------------------------------------------------------------------*/ |
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58 | /* Constant declarations */ |
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59 | /*---------------------------------------------------------------------------*/ |
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60 | |
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61 | #define TESTCUDD_VERSION "TestCudd Version #1.0, Release date 3/17/01" |
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62 | |
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63 | /*---------------------------------------------------------------------------*/ |
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64 | /* Variable declarations */ |
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65 | /*---------------------------------------------------------------------------*/ |
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66 | |
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67 | #ifndef lint |
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68 | static char rcsid[] DD_UNUSED = "$Id: testcudd.c,v 1.20 2009/03/08 02:49:02 fabio Exp $"; |
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69 | #endif |
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70 | |
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71 | static const char *onames[] = { "C", "M" }; /* names of functions to be dumped */ |
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72 | |
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73 | /**AutomaticStart*************************************************************/ |
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74 | |
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75 | /*---------------------------------------------------------------------------*/ |
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76 | /* Static function prototypes */ |
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77 | /*---------------------------------------------------------------------------*/ |
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78 | |
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79 | static void usage (char * prog); |
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80 | static FILE *open_file (char *filename, const char *mode); |
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81 | static int testIterators (DdManager *dd, DdNode *M, DdNode *C, int pr); |
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82 | static int testXor (DdManager *dd, DdNode *f, int pr, int nvars); |
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83 | static int testHamming (DdManager *dd, DdNode *f, int pr); |
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84 | static int testWalsh (DdManager *dd, int N, int cmu, int approach, int pr); |
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85 | |
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86 | /**AutomaticEnd***************************************************************/ |
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87 | |
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88 | |
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89 | /**Function******************************************************************** |
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90 | |
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91 | Synopsis [Main function for testcudd.] |
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92 | |
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93 | Description [] |
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94 | |
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95 | SideEffects [None] |
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96 | |
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97 | SeeAlso [] |
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98 | |
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99 | ******************************************************************************/ |
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100 | int |
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101 | main(int argc, char **argv) |
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102 | { |
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103 | FILE *fp; /* pointer to input file */ |
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104 | char *file = (char *) ""; /* input file name */ |
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105 | FILE *dfp = NULL; /* pointer to dump file */ |
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106 | char *dfile; /* file for DD dump */ |
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107 | DdNode *dfunc[2]; /* addresses of the functions to be dumped */ |
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108 | DdManager *dd; /* pointer to DD manager */ |
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109 | DdNode *one; /* fast access to constant function */ |
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110 | DdNode *M; |
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111 | DdNode **x; /* pointers to variables */ |
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112 | DdNode **y; /* pointers to variables */ |
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113 | DdNode **xn; /* complements of row variables */ |
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114 | DdNode **yn_; /* complements of column variables */ |
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115 | DdNode **xvars; |
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116 | DdNode **yvars; |
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117 | DdNode *C; /* result of converting from ADD to BDD */ |
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118 | DdNode *ess; /* cube of essential variables */ |
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119 | DdNode *shortP; /* BDD cube of shortest path */ |
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120 | DdNode *largest; /* BDD of largest cube */ |
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121 | DdNode *shortA; /* ADD cube of shortest path */ |
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122 | DdNode *constN; /* value returned by evaluation of ADD */ |
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123 | DdNode *ycube; /* cube of the negated y vars for c-proj */ |
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124 | DdNode *CP; /* C-Projection of C */ |
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125 | DdNode *CPr; /* C-Selection of C */ |
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126 | int length; /* length of the shortest path */ |
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127 | int nx; /* number of variables */ |
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128 | int ny; |
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129 | int maxnx; |
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130 | int maxny; |
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131 | int m; |
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132 | int n; |
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133 | int N; |
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134 | int cmu; /* use CMU multiplication */ |
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135 | int pr; /* verbose printout level */ |
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136 | int harwell; |
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137 | int multiple; /* read multiple matrices */ |
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138 | int ok; |
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139 | int c; /* variable to read in options */ |
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140 | int approach; /* reordering approach */ |
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141 | int autodyn; /* automatic reordering */ |
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142 | int groupcheck; /* option for group sifting */ |
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143 | int profile; /* print heap profile if != 0 */ |
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144 | int keepperm; /* keep track of permutation */ |
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145 | int clearcache; /* clear the cache after each matrix */ |
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146 | int blifOrDot; /* dump format: 0 -> dot, 1 -> blif, ... */ |
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147 | int retval; /* return value */ |
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148 | int i; /* loop index */ |
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149 | long startTime; /* initial time */ |
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150 | long lapTime; |
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151 | int size; |
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152 | unsigned int cacheSize, maxMemory; |
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153 | unsigned int nvars,nslots; |
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154 | |
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155 | startTime = util_cpu_time(); |
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156 | |
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157 | approach = CUDD_REORDER_NONE; |
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158 | autodyn = 0; |
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159 | pr = 0; |
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160 | harwell = 0; |
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161 | multiple = 0; |
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162 | profile = 0; |
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163 | keepperm = 0; |
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164 | cmu = 0; |
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165 | N = 4; |
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166 | nvars = 4; |
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167 | cacheSize = 127; |
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168 | maxMemory = 0; |
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169 | nslots = CUDD_UNIQUE_SLOTS; |
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170 | clearcache = 0; |
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171 | groupcheck = CUDD_GROUP_CHECK7; |
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172 | dfile = NULL; |
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173 | blifOrDot = 0; /* dot format */ |
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174 | |
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175 | /* Parse command line. */ |
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176 | while ((c = util_getopt(argc, argv, (char *) "CDHMPS:a:bcd:g:hkmn:p:v:x:X:")) |
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177 | != EOF) { |
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178 | switch(c) { |
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179 | case 'C': |
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180 | cmu = 1; |
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181 | break; |
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182 | case 'D': |
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183 | autodyn = 1; |
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184 | break; |
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185 | case 'H': |
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186 | harwell = 1; |
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187 | break; |
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188 | case 'M': |
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189 | #ifdef MNEMOSYNE |
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190 | (void) mnem_setrecording(0); |
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191 | #endif |
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192 | break; |
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193 | case 'P': |
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194 | profile = 1; |
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195 | break; |
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196 | case 'S': |
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197 | nslots = atoi(util_optarg); |
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198 | break; |
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199 | case 'X': |
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200 | maxMemory = atoi(util_optarg); |
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201 | break; |
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202 | case 'a': |
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203 | approach = atoi(util_optarg); |
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204 | break; |
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205 | case 'b': |
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206 | blifOrDot = 1; /* blif format */ |
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207 | break; |
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208 | case 'c': |
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209 | clearcache = 1; |
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210 | break; |
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211 | case 'd': |
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212 | dfile = util_optarg; |
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213 | break; |
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214 | case 'g': |
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215 | groupcheck = atoi(util_optarg); |
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216 | break; |
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217 | case 'k': |
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218 | keepperm = 1; |
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219 | break; |
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220 | case 'm': |
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221 | multiple = 1; |
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222 | break; |
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223 | case 'n': |
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224 | N = atoi(util_optarg); |
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225 | break; |
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226 | case 'p': |
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227 | pr = atoi(util_optarg); |
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228 | break; |
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229 | case 'v': |
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230 | nvars = atoi(util_optarg); |
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231 | break; |
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232 | case 'x': |
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233 | cacheSize = atoi(util_optarg); |
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234 | break; |
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235 | case 'h': |
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236 | default: |
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237 | usage(argv[0]); |
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238 | break; |
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239 | } |
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240 | } |
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241 | |
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242 | if (argc - util_optind == 0) { |
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243 | file = (char *) "-"; |
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244 | } else if (argc - util_optind == 1) { |
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245 | file = argv[util_optind]; |
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246 | } else { |
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247 | usage(argv[0]); |
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248 | } |
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249 | if ((approach<0) || (approach>17)) { |
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250 | (void) fprintf(stderr,"Invalid approach: %d \n",approach); |
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251 | usage(argv[0]); |
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252 | } |
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253 | |
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254 | if (pr >= 0) { |
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255 | (void) printf("# %s\n", TESTCUDD_VERSION); |
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256 | /* Echo command line and arguments. */ |
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257 | (void) printf("#"); |
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258 | for (i = 0; i < argc; i++) { |
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259 | (void) printf(" %s", argv[i]); |
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260 | } |
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261 | (void) printf("\n"); |
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262 | (void) fflush(stdout); |
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263 | } |
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264 | |
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265 | /* Initialize manager and provide easy reference to terminals. */ |
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266 | dd = Cudd_Init(nvars,0,nslots,cacheSize,maxMemory); |
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267 | one = DD_ONE(dd); |
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268 | dd->groupcheck = (Cudd_AggregationType) groupcheck; |
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269 | if (autodyn) Cudd_AutodynEnable(dd,CUDD_REORDER_SAME); |
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270 | |
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271 | /* Open input file. */ |
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272 | fp = open_file(file, "r"); |
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273 | |
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274 | /* Open dump file if requested */ |
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275 | if (dfile != NULL) { |
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276 | dfp = open_file(dfile, "w"); |
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277 | } |
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278 | |
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279 | x = y = xn = yn_ = NULL; |
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280 | do { |
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281 | /* We want to start anew for every matrix. */ |
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282 | maxnx = maxny = 0; |
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283 | nx = maxnx; ny = maxny; |
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284 | if (pr>0) lapTime = util_cpu_time(); |
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285 | if (harwell) { |
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286 | if (pr >= 0) (void) printf(":name: "); |
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287 | ok = Cudd_addHarwell(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny, |
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288 | &m, &n, 0, 2, 1, 2, pr); |
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289 | } else { |
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290 | ok = Cudd_addRead(fp, dd, &M, &x, &y, &xn, &yn_, &nx, &ny, |
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291 | &m, &n, 0, 2, 1, 2); |
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292 | if (pr >= 0) |
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293 | (void) printf(":name: %s: %d rows %d columns\n", file, m, n); |
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294 | } |
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295 | if (!ok) { |
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296 | (void) fprintf(stderr, "Error reading matrix\n"); |
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297 | exit(1); |
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298 | } |
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299 | |
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300 | if (nx > maxnx) maxnx = nx; |
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301 | if (ny > maxny) maxny = ny; |
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302 | |
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303 | /* Build cube of negated y's. */ |
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304 | ycube = DD_ONE(dd); |
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305 | Cudd_Ref(ycube); |
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306 | for (i = maxny - 1; i >= 0; i--) { |
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307 | DdNode *tmpp; |
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308 | tmpp = Cudd_bddAnd(dd,Cudd_Not(dd->vars[y[i]->index]),ycube); |
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309 | if (tmpp == NULL) exit(2); |
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310 | Cudd_Ref(tmpp); |
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311 | Cudd_RecursiveDeref(dd,ycube); |
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312 | ycube = tmpp; |
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313 | } |
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314 | /* Initialize vectors of BDD variables used by priority func. */ |
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315 | xvars = ALLOC(DdNode *, nx); |
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316 | if (xvars == NULL) exit(2); |
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317 | for (i = 0; i < nx; i++) { |
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318 | xvars[i] = dd->vars[x[i]->index]; |
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319 | } |
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320 | yvars = ALLOC(DdNode *, ny); |
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321 | if (yvars == NULL) exit(2); |
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322 | for (i = 0; i < ny; i++) { |
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323 | yvars[i] = dd->vars[y[i]->index]; |
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324 | } |
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325 | |
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326 | /* Clean up */ |
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327 | for (i=0; i < maxnx; i++) { |
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328 | Cudd_RecursiveDeref(dd, x[i]); |
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329 | Cudd_RecursiveDeref(dd, xn[i]); |
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330 | } |
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331 | FREE(x); |
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332 | FREE(xn); |
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333 | for (i=0; i < maxny; i++) { |
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334 | Cudd_RecursiveDeref(dd, y[i]); |
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335 | Cudd_RecursiveDeref(dd, yn_[i]); |
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336 | } |
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337 | FREE(y); |
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338 | FREE(yn_); |
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339 | |
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340 | if (pr>0) {(void) printf(":1: M"); Cudd_PrintDebug(dd,M,nx+ny,pr);} |
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341 | |
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342 | if (pr>0) (void) printf(":2: time to read the matrix = %s\n", |
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343 | util_print_time(util_cpu_time() - lapTime)); |
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344 | |
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345 | C = Cudd_addBddPattern(dd, M); |
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346 | if (C == 0) exit(2); |
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347 | Cudd_Ref(C); |
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348 | if (pr>0) {(void) printf(":3: C"); Cudd_PrintDebug(dd,C,nx+ny,pr);} |
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349 | |
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350 | /* Test iterators. */ |
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351 | retval = testIterators(dd,M,C,pr); |
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352 | if (retval == 0) exit(2); |
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353 | |
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354 | cuddCacheProfile(dd,stdout); |
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355 | |
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356 | /* Test XOR */ |
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357 | retval = testXor(dd,C,pr,nx+ny); |
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358 | if (retval == 0) exit(2); |
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359 | |
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360 | /* Test Hamming distance functions. */ |
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361 | retval = testHamming(dd,C,pr); |
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362 | if (retval == 0) exit(2); |
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363 | |
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364 | /* Test selection functions. */ |
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365 | CP = Cudd_CProjection(dd,C,ycube); |
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366 | if (CP == NULL) exit(2); |
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367 | Cudd_Ref(CP); |
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368 | if (pr>0) {(void) printf("ycube"); Cudd_PrintDebug(dd,ycube,nx+ny,pr);} |
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369 | if (pr>0) {(void) printf("CP"); Cudd_PrintDebug(dd,CP,nx+ny,pr);} |
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370 | |
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371 | if (nx == ny) { |
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372 | CPr = Cudd_PrioritySelect(dd,C,xvars,yvars,(DdNode **)NULL, |
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373 | (DdNode *)NULL,ny,Cudd_Xgty); |
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374 | if (CPr == NULL) exit(2); |
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375 | Cudd_Ref(CPr); |
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376 | if (pr>0) {(void) printf(":4: CPr"); Cudd_PrintDebug(dd,CPr,nx+ny,pr);} |
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377 | if (CP != CPr) { |
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378 | (void) printf("CP != CPr!\n"); |
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379 | } |
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380 | Cudd_RecursiveDeref(dd, CPr); |
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381 | } |
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382 | |
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383 | /* Test inequality generator. */ |
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384 | { |
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385 | int Nmin = ddMin(nx,ny); |
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386 | int q; |
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387 | DdGen *gen; |
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388 | int *cube; |
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389 | DdNode *f = Cudd_Inequality(dd,Nmin,2,xvars,yvars); |
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390 | if (f == NULL) exit(2); |
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391 | Cudd_Ref(f); |
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392 | if (pr>0) { |
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393 | (void) printf(":4: ineq"); |
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394 | Cudd_PrintDebug(dd,f,nx+ny,pr); |
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395 | if (pr>1) { |
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396 | Cudd_ForeachPrime(dd,Cudd_Not(f),Cudd_Not(f),gen,cube) { |
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397 | for (q = 0; q < dd->size; q++) { |
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398 | switch (cube[q]) { |
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399 | case 0: |
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400 | (void) printf("1"); |
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401 | break; |
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402 | case 1: |
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403 | (void) printf("0"); |
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404 | break; |
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405 | case 2: |
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406 | (void) printf("-"); |
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407 | break; |
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408 | default: |
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409 | (void) printf("?"); |
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410 | } |
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411 | } |
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412 | (void) printf(" 1\n"); |
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413 | } |
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414 | (void) printf("\n"); |
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415 | } |
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416 | } |
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417 | Cudd_IterDerefBdd(dd, f); |
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418 | } |
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419 | FREE(xvars); FREE(yvars); |
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420 | |
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421 | Cudd_RecursiveDeref(dd, CP); |
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422 | Cudd_RecursiveDeref(dd, ycube); |
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423 | |
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424 | /* Test functions for essential variables. */ |
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425 | ess = Cudd_FindEssential(dd,C); |
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426 | if (ess == NULL) exit(2); |
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427 | Cudd_Ref(ess); |
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428 | if (pr>0) {(void) printf(":4: ess"); Cudd_PrintDebug(dd,ess,nx+ny,pr);} |
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429 | Cudd_RecursiveDeref(dd, ess); |
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430 | |
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431 | /* Test functions for shortest paths. */ |
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432 | shortP = Cudd_ShortestPath(dd, M, NULL, NULL, &length); |
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433 | if (shortP == NULL) exit(2); |
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434 | Cudd_Ref(shortP); |
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435 | if (pr>0) { |
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436 | (void) printf(":5: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr); |
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437 | } |
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438 | /* Test functions for largest cubes. */ |
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439 | largest = Cudd_LargestCube(dd, Cudd_Not(C), &length); |
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440 | if (largest == NULL) exit(2); |
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441 | Cudd_Ref(largest); |
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442 | if (pr>0) { |
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443 | (void) printf(":5b: largest"); |
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444 | Cudd_PrintDebug(dd,largest,nx+ny,pr); |
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445 | } |
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446 | Cudd_RecursiveDeref(dd, largest); |
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447 | |
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448 | /* Test Cudd_addEvalConst and Cudd_addIteConstant. */ |
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449 | shortA = Cudd_BddToAdd(dd,shortP); |
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450 | if (shortA == NULL) exit(2); |
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451 | Cudd_Ref(shortA); |
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452 | Cudd_RecursiveDeref(dd, shortP); |
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453 | constN = Cudd_addEvalConst(dd,shortA,M); |
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454 | if (constN == DD_NON_CONSTANT) exit(2); |
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455 | if (Cudd_addIteConstant(dd,shortA,M,constN) != constN) exit(2); |
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456 | if (pr>0) {(void) printf("The value of M along the chosen shortest path is %g\n", cuddV(constN));} |
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457 | Cudd_RecursiveDeref(dd, shortA); |
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458 | |
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459 | shortP = Cudd_ShortestPath(dd, C, NULL, NULL, &length); |
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460 | if (shortP == NULL) exit(2); |
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461 | Cudd_Ref(shortP); |
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462 | if (pr>0) { |
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463 | (void) printf(":6: shortP"); Cudd_PrintDebug(dd,shortP,nx+ny,pr); |
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464 | } |
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465 | |
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466 | /* Test Cudd_bddIteConstant and Cudd_bddLeq. */ |
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467 | if (!Cudd_bddLeq(dd,shortP,C)) exit(2); |
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468 | if (Cudd_bddIteConstant(dd,Cudd_Not(shortP),one,C) != one) exit(2); |
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469 | Cudd_RecursiveDeref(dd, shortP); |
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470 | |
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471 | if (profile) { |
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472 | retval = cuddHeapProfile(dd); |
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473 | } |
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474 | |
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475 | size = dd->size; |
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476 | |
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477 | if (pr>0) { |
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478 | (void) printf("Average distance: %g\n", Cudd_AverageDistance(dd)); |
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479 | } |
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480 | |
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481 | /* Reorder if so requested. */ |
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482 | if (approach != CUDD_REORDER_NONE) { |
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483 | #ifndef DD_STATS |
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484 | retval = Cudd_EnableReorderingReporting(dd); |
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485 | if (retval == 0) { |
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486 | (void) fprintf(stderr,"Error reported by Cudd_EnableReorderingReporting\n"); |
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487 | exit(3); |
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488 | } |
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489 | #endif |
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490 | #ifdef DD_DEBUG |
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491 | retval = Cudd_DebugCheck(dd); |
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492 | if (retval != 0) { |
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493 | (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n"); |
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494 | exit(3); |
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495 | } |
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496 | retval = Cudd_CheckKeys(dd); |
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497 | if (retval != 0) { |
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498 | (void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n"); |
---|
499 | exit(3); |
---|
500 | } |
---|
501 | #endif |
---|
502 | retval = Cudd_ReduceHeap(dd,(Cudd_ReorderingType)approach,5); |
---|
503 | if (retval == 0) { |
---|
504 | (void) fprintf(stderr,"Error reported by Cudd_ReduceHeap\n"); |
---|
505 | exit(3); |
---|
506 | } |
---|
507 | #ifndef DD_STATS |
---|
508 | retval = Cudd_DisableReorderingReporting(dd); |
---|
509 | if (retval == 0) { |
---|
510 | (void) fprintf(stderr,"Error reported by Cudd_DisableReorderingReporting\n"); |
---|
511 | exit(3); |
---|
512 | } |
---|
513 | #endif |
---|
514 | #ifdef DD_DEBUG |
---|
515 | retval = Cudd_DebugCheck(dd); |
---|
516 | if (retval != 0) { |
---|
517 | (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n"); |
---|
518 | exit(3); |
---|
519 | } |
---|
520 | retval = Cudd_CheckKeys(dd); |
---|
521 | if (retval != 0) { |
---|
522 | (void) fprintf(stderr,"Error reported by Cudd_CheckKeys\n"); |
---|
523 | exit(3); |
---|
524 | } |
---|
525 | #endif |
---|
526 | if (approach == CUDD_REORDER_SYMM_SIFT || |
---|
527 | approach == CUDD_REORDER_SYMM_SIFT_CONV) { |
---|
528 | Cudd_SymmProfile(dd,0,dd->size-1); |
---|
529 | } |
---|
530 | |
---|
531 | if (pr>0) { |
---|
532 | (void) printf("Average distance: %g\n", Cudd_AverageDistance(dd)); |
---|
533 | } |
---|
534 | |
---|
535 | if (keepperm) { |
---|
536 | /* Print variable permutation. */ |
---|
537 | (void) printf("Variable Permutation:"); |
---|
538 | for (i=0; i<size; i++) { |
---|
539 | if (i%20 == 0) (void) printf("\n"); |
---|
540 | (void) printf("%d ", dd->invperm[i]); |
---|
541 | } |
---|
542 | (void) printf("\n"); |
---|
543 | (void) printf("Inverse Permutation:"); |
---|
544 | for (i=0; i<size; i++) { |
---|
545 | if (i%20 == 0) (void) printf("\n"); |
---|
546 | (void) printf("%d ", dd->perm[i]); |
---|
547 | } |
---|
548 | (void) printf("\n"); |
---|
549 | } |
---|
550 | |
---|
551 | if (pr>0) {(void) printf("M"); Cudd_PrintDebug(dd,M,nx+ny,pr);} |
---|
552 | |
---|
553 | if (profile) { |
---|
554 | retval = cuddHeapProfile(dd); |
---|
555 | } |
---|
556 | |
---|
557 | } |
---|
558 | |
---|
559 | /* Dump DDs of C and M if so requested. */ |
---|
560 | if (dfile != NULL) { |
---|
561 | dfunc[0] = C; |
---|
562 | dfunc[1] = M; |
---|
563 | if (blifOrDot == 1) { |
---|
564 | /* Only dump C because blif cannot handle ADDs */ |
---|
565 | retval = Cudd_DumpBlif(dd,1,dfunc,NULL,(char **)onames, |
---|
566 | NULL,dfp,0); |
---|
567 | } else { |
---|
568 | retval = Cudd_DumpDot(dd,2,dfunc,NULL,(char **)onames,dfp); |
---|
569 | } |
---|
570 | if (retval != 1) { |
---|
571 | (void) fprintf(stderr,"abnormal termination\n"); |
---|
572 | exit(2); |
---|
573 | } |
---|
574 | } |
---|
575 | |
---|
576 | Cudd_RecursiveDeref(dd, C); |
---|
577 | Cudd_RecursiveDeref(dd, M); |
---|
578 | |
---|
579 | if (clearcache) { |
---|
580 | if (pr>0) {(void) printf("Clearing the cache... ");} |
---|
581 | for (i = dd->cacheSlots - 1; i>=0; i--) { |
---|
582 | dd->cache[i].data = NIL(DdNode); |
---|
583 | } |
---|
584 | if (pr>0) {(void) printf("done\n");} |
---|
585 | } |
---|
586 | if (pr>0) { |
---|
587 | (void) printf("Number of variables = %6d\t",dd->size); |
---|
588 | (void) printf("Number of slots = %6u\n",dd->slots); |
---|
589 | (void) printf("Number of keys = %6u\t",dd->keys); |
---|
590 | (void) printf("Number of min dead = %6u\n",dd->minDead); |
---|
591 | } |
---|
592 | |
---|
593 | } while (multiple && !feof(fp)); |
---|
594 | |
---|
595 | fclose(fp); |
---|
596 | if (dfile != NULL) { |
---|
597 | fclose(dfp); |
---|
598 | } |
---|
599 | |
---|
600 | /* Second phase: experiment with Walsh matrices. */ |
---|
601 | if (!testWalsh(dd,N,cmu,approach,pr)) { |
---|
602 | exit(2); |
---|
603 | } |
---|
604 | |
---|
605 | /* Check variable destruction. */ |
---|
606 | assert(cuddDestroySubtables(dd,3)); |
---|
607 | assert(Cudd_DebugCheck(dd) == 0); |
---|
608 | assert(Cudd_CheckKeys(dd) == 0); |
---|
609 | |
---|
610 | retval = Cudd_CheckZeroRef(dd); |
---|
611 | ok = retval != 0; /* ok == 0 means O.K. */ |
---|
612 | if (retval != 0) { |
---|
613 | (void) fprintf(stderr, |
---|
614 | "%d non-zero DD reference counts after dereferencing\n", retval); |
---|
615 | } |
---|
616 | |
---|
617 | if (pr >= 0) { |
---|
618 | (void) Cudd_PrintInfo(dd,stdout); |
---|
619 | } |
---|
620 | |
---|
621 | Cudd_Quit(dd); |
---|
622 | |
---|
623 | #ifdef MNEMOSYNE |
---|
624 | mnem_writestats(); |
---|
625 | #endif |
---|
626 | |
---|
627 | if (pr>0) (void) printf("total time = %s\n", |
---|
628 | util_print_time(util_cpu_time() - startTime)); |
---|
629 | |
---|
630 | if (pr >= 0) util_print_cpu_stats(stdout); |
---|
631 | exit(ok); |
---|
632 | /* NOTREACHED */ |
---|
633 | |
---|
634 | } /* end of main */ |
---|
635 | |
---|
636 | |
---|
637 | /*---------------------------------------------------------------------------*/ |
---|
638 | /* Definition of static functions */ |
---|
639 | /*---------------------------------------------------------------------------*/ |
---|
640 | |
---|
641 | |
---|
642 | /**Function******************************************************************** |
---|
643 | |
---|
644 | Synopsis [Prints usage info for testcudd.] |
---|
645 | |
---|
646 | Description [] |
---|
647 | |
---|
648 | SideEffects [None] |
---|
649 | |
---|
650 | SeeAlso [] |
---|
651 | |
---|
652 | ******************************************************************************/ |
---|
653 | static void |
---|
654 | usage(char *prog) |
---|
655 | { |
---|
656 | (void) fprintf(stderr, "usage: %s [options] [file]\n", prog); |
---|
657 | (void) fprintf(stderr, " -C\t\tuse CMU multiplication algorithm\n"); |
---|
658 | (void) fprintf(stderr, " -D\t\tenable automatic dynamic reordering\n"); |
---|
659 | (void) fprintf(stderr, " -H\t\tread matrix in Harwell format\n"); |
---|
660 | (void) fprintf(stderr, " -M\t\tturns off memory allocation recording\n"); |
---|
661 | (void) fprintf(stderr, " -P\t\tprint BDD heap profile\n"); |
---|
662 | (void) fprintf(stderr, " -S n\t\tnumber of slots for each subtable\n"); |
---|
663 | (void) fprintf(stderr, " -X n\t\ttarget maximum memory in bytes\n"); |
---|
664 | (void) fprintf(stderr, " -a n\t\tchoose reordering approach (0-13)\n"); |
---|
665 | (void) fprintf(stderr, " \t\t\t0: same as autoMethod\n"); |
---|
666 | (void) fprintf(stderr, " \t\t\t1: no reordering (default)\n"); |
---|
667 | (void) fprintf(stderr, " \t\t\t2: random\n"); |
---|
668 | (void) fprintf(stderr, " \t\t\t3: pivot\n"); |
---|
669 | (void) fprintf(stderr, " \t\t\t4: sifting\n"); |
---|
670 | (void) fprintf(stderr, " \t\t\t5: sifting to convergence\n"); |
---|
671 | (void) fprintf(stderr, " \t\t\t6: symmetric sifting\n"); |
---|
672 | (void) fprintf(stderr, " \t\t\t7: symmetric sifting to convergence\n"); |
---|
673 | (void) fprintf(stderr, " \t\t\t8-10: window of size 2-4\n"); |
---|
674 | (void) fprintf(stderr, " \t\t\t11-13: window of size 2-4 to conv.\n"); |
---|
675 | (void) fprintf(stderr, " \t\t\t14: group sifting\n"); |
---|
676 | (void) fprintf(stderr, " \t\t\t15: group sifting to convergence\n"); |
---|
677 | (void) fprintf(stderr, " \t\t\t16: simulated annealing\n"); |
---|
678 | (void) fprintf(stderr, " \t\t\t17: genetic algorithm\n"); |
---|
679 | (void) fprintf(stderr, " -b\t\tuse blif as format for dumps\n"); |
---|
680 | (void) fprintf(stderr, " -c\t\tclear the cache after each matrix\n"); |
---|
681 | (void) fprintf(stderr, " -d file\tdump DDs to file\n"); |
---|
682 | (void) fprintf(stderr, " -g\t\tselect aggregation criterion (0,5,7)\n"); |
---|
683 | (void) fprintf(stderr, " -h\t\tprints this message\n"); |
---|
684 | (void) fprintf(stderr, " -k\t\tprint the variable permutation\n"); |
---|
685 | (void) fprintf(stderr, " -m\t\tread multiple matrices (only with -H)\n"); |
---|
686 | (void) fprintf(stderr, " -n n\t\tnumber of variables\n"); |
---|
687 | (void) fprintf(stderr, " -p n\t\tcontrol verbosity\n"); |
---|
688 | (void) fprintf(stderr, " -v n\t\tinitial variables in the unique table\n"); |
---|
689 | (void) fprintf(stderr, " -x n\t\tinitial size of the cache\n"); |
---|
690 | exit(2); |
---|
691 | } /* end of usage */ |
---|
692 | |
---|
693 | |
---|
694 | /**Function******************************************************************** |
---|
695 | |
---|
696 | Synopsis [Opens a file.] |
---|
697 | |
---|
698 | Description [Opens a file, or fails with an error message and exits. |
---|
699 | Allows '-' as a synonym for standard input.] |
---|
700 | |
---|
701 | SideEffects [None] |
---|
702 | |
---|
703 | SeeAlso [] |
---|
704 | |
---|
705 | ******************************************************************************/ |
---|
706 | static FILE * |
---|
707 | open_file(char *filename, const char *mode) |
---|
708 | { |
---|
709 | FILE *fp; |
---|
710 | |
---|
711 | if (strcmp(filename, "-") == 0) { |
---|
712 | return mode[0] == 'r' ? stdin : stdout; |
---|
713 | } else if ((fp = fopen(filename, mode)) == NULL) { |
---|
714 | perror(filename); |
---|
715 | exit(1); |
---|
716 | } |
---|
717 | return fp; |
---|
718 | |
---|
719 | } /* end of open_file */ |
---|
720 | |
---|
721 | |
---|
722 | /**Function******************************************************************** |
---|
723 | |
---|
724 | Synopsis [Tests Walsh matrix multiplication.] |
---|
725 | |
---|
726 | Description [Tests Walsh matrix multiplication. Return 1 if successful; |
---|
727 | 0 otherwise.] |
---|
728 | |
---|
729 | SideEffects [May create new variables in the manager.] |
---|
730 | |
---|
731 | SeeAlso [] |
---|
732 | |
---|
733 | ******************************************************************************/ |
---|
734 | static int |
---|
735 | testWalsh( |
---|
736 | DdManager *dd /* manager */, |
---|
737 | int N /* number of variables */, |
---|
738 | int cmu /* use CMU approach to matrix multiplication */, |
---|
739 | int approach /* reordering approach */, |
---|
740 | int pr /* verbosity level */) |
---|
741 | { |
---|
742 | DdNode *walsh1, *walsh2, *wtw; |
---|
743 | DdNode **x, **v, **z; |
---|
744 | int i, retval; |
---|
745 | DdNode *one = DD_ONE(dd); |
---|
746 | DdNode *zero = DD_ZERO(dd); |
---|
747 | |
---|
748 | if (N > 3) { |
---|
749 | x = ALLOC(DdNode *,N); |
---|
750 | v = ALLOC(DdNode *,N); |
---|
751 | z = ALLOC(DdNode *,N); |
---|
752 | |
---|
753 | for (i = N-1; i >= 0; i--) { |
---|
754 | Cudd_Ref(x[i]=cuddUniqueInter(dd,3*i,one,zero)); |
---|
755 | Cudd_Ref(v[i]=cuddUniqueInter(dd,3*i+1,one,zero)); |
---|
756 | Cudd_Ref(z[i]=cuddUniqueInter(dd,3*i+2,one,zero)); |
---|
757 | } |
---|
758 | Cudd_Ref(walsh1 = Cudd_addWalsh(dd,v,z,N)); |
---|
759 | if (pr>0) {(void) printf("walsh1"); Cudd_PrintDebug(dd,walsh1,2*N,pr);} |
---|
760 | Cudd_Ref(walsh2 = Cudd_addWalsh(dd,x,v,N)); |
---|
761 | if (cmu) { |
---|
762 | Cudd_Ref(wtw = Cudd_addTimesPlus(dd,walsh2,walsh1,v,N)); |
---|
763 | } else { |
---|
764 | Cudd_Ref(wtw = Cudd_addMatrixMultiply(dd,walsh2,walsh1,v,N)); |
---|
765 | } |
---|
766 | if (pr>0) {(void) printf("wtw"); Cudd_PrintDebug(dd,wtw,2*N,pr);} |
---|
767 | |
---|
768 | if (approach != CUDD_REORDER_NONE) { |
---|
769 | #ifdef DD_DEBUG |
---|
770 | retval = Cudd_DebugCheck(dd); |
---|
771 | if (retval != 0) { |
---|
772 | (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n"); |
---|
773 | return(0); |
---|
774 | } |
---|
775 | #endif |
---|
776 | retval = Cudd_ReduceHeap(dd,(Cudd_ReorderingType)approach,5); |
---|
777 | if (retval == 0) { |
---|
778 | (void) fprintf(stderr,"Error reported by Cudd_ReduceHeap\n"); |
---|
779 | return(0); |
---|
780 | } |
---|
781 | #ifdef DD_DEBUG |
---|
782 | retval = Cudd_DebugCheck(dd); |
---|
783 | if (retval != 0) { |
---|
784 | (void) fprintf(stderr,"Error reported by Cudd_DebugCheck\n"); |
---|
785 | return(0); |
---|
786 | } |
---|
787 | #endif |
---|
788 | if (approach == CUDD_REORDER_SYMM_SIFT || |
---|
789 | approach == CUDD_REORDER_SYMM_SIFT_CONV) { |
---|
790 | Cudd_SymmProfile(dd,0,dd->size-1); |
---|
791 | } |
---|
792 | } |
---|
793 | /* Clean up. */ |
---|
794 | Cudd_RecursiveDeref(dd, wtw); |
---|
795 | Cudd_RecursiveDeref(dd, walsh1); |
---|
796 | Cudd_RecursiveDeref(dd, walsh2); |
---|
797 | for (i=0; i < N; i++) { |
---|
798 | Cudd_RecursiveDeref(dd, x[i]); |
---|
799 | Cudd_RecursiveDeref(dd, v[i]); |
---|
800 | Cudd_RecursiveDeref(dd, z[i]); |
---|
801 | } |
---|
802 | FREE(x); |
---|
803 | FREE(v); |
---|
804 | FREE(z); |
---|
805 | } |
---|
806 | return(1); |
---|
807 | |
---|
808 | } /* end of testWalsh */ |
---|
809 | |
---|
810 | /**Function******************************************************************** |
---|
811 | |
---|
812 | Synopsis [Tests iterators.] |
---|
813 | |
---|
814 | Description [Tests iterators on cubes and nodes.] |
---|
815 | |
---|
816 | SideEffects [None] |
---|
817 | |
---|
818 | SeeAlso [] |
---|
819 | |
---|
820 | ******************************************************************************/ |
---|
821 | static int |
---|
822 | testIterators( |
---|
823 | DdManager *dd, |
---|
824 | DdNode *M, |
---|
825 | DdNode *C, |
---|
826 | int pr) |
---|
827 | { |
---|
828 | int *cube; |
---|
829 | CUDD_VALUE_TYPE value; |
---|
830 | DdGen *gen; |
---|
831 | int q; |
---|
832 | |
---|
833 | /* Test iterator for cubes. */ |
---|
834 | if (pr>1) { |
---|
835 | (void) printf("Testing iterator on cubes:\n"); |
---|
836 | Cudd_ForeachCube(dd,M,gen,cube,value) { |
---|
837 | for (q = 0; q < dd->size; q++) { |
---|
838 | switch (cube[q]) { |
---|
839 | case 0: |
---|
840 | (void) printf("0"); |
---|
841 | break; |
---|
842 | case 1: |
---|
843 | (void) printf("1"); |
---|
844 | break; |
---|
845 | case 2: |
---|
846 | (void) printf("-"); |
---|
847 | break; |
---|
848 | default: |
---|
849 | (void) printf("?"); |
---|
850 | } |
---|
851 | } |
---|
852 | (void) printf(" %g\n",value); |
---|
853 | } |
---|
854 | (void) printf("\n"); |
---|
855 | } |
---|
856 | |
---|
857 | if (pr>1) { |
---|
858 | (void) printf("Testing prime expansion of cubes:\n"); |
---|
859 | if (!Cudd_bddPrintCover(dd,C,C)) return(0); |
---|
860 | } |
---|
861 | |
---|
862 | if (pr>1) { |
---|
863 | (void) printf("Testing iterator on primes (CNF):\n"); |
---|
864 | Cudd_ForeachPrime(dd,Cudd_Not(C),Cudd_Not(C),gen,cube) { |
---|
865 | for (q = 0; q < dd->size; q++) { |
---|
866 | switch (cube[q]) { |
---|
867 | case 0: |
---|
868 | (void) printf("1"); |
---|
869 | break; |
---|
870 | case 1: |
---|
871 | (void) printf("0"); |
---|
872 | break; |
---|
873 | case 2: |
---|
874 | (void) printf("-"); |
---|
875 | break; |
---|
876 | default: |
---|
877 | (void) printf("?"); |
---|
878 | } |
---|
879 | } |
---|
880 | (void) printf(" 1\n"); |
---|
881 | } |
---|
882 | (void) printf("\n"); |
---|
883 | } |
---|
884 | |
---|
885 | /* Test iterator on nodes. */ |
---|
886 | if (pr>2) { |
---|
887 | DdNode *node; |
---|
888 | (void) printf("Testing iterator on nodes:\n"); |
---|
889 | Cudd_ForeachNode(dd,M,gen,node) { |
---|
890 | if (Cudd_IsConstant(node)) { |
---|
891 | #if SIZEOF_VOID_P == 8 |
---|
892 | (void) printf("ID = 0x%lx\tvalue = %-9g\n", |
---|
893 | (ptruint) node / |
---|
894 | (ptruint) sizeof(DdNode), |
---|
895 | Cudd_V(node)); |
---|
896 | #else |
---|
897 | (void) printf("ID = 0x%x\tvalue = %-9g\n", |
---|
898 | (ptruint) node / |
---|
899 | (ptruint) sizeof(DdNode), |
---|
900 | Cudd_V(node)); |
---|
901 | #endif |
---|
902 | } else { |
---|
903 | #if SIZEOF_VOID_P == 8 |
---|
904 | (void) printf("ID = 0x%lx\tindex = %u\tr = %u\n", |
---|
905 | (ptruint) node / |
---|
906 | (ptruint) sizeof(DdNode), |
---|
907 | node->index, node->ref); |
---|
908 | #else |
---|
909 | (void) printf("ID = 0x%x\tindex = %u\tr = %u\n", |
---|
910 | (ptruint) node / |
---|
911 | (ptruint) sizeof(DdNode), |
---|
912 | node->index, node->ref); |
---|
913 | #endif |
---|
914 | } |
---|
915 | } |
---|
916 | (void) printf("\n"); |
---|
917 | } |
---|
918 | return(1); |
---|
919 | |
---|
920 | } /* end of testIterators */ |
---|
921 | |
---|
922 | |
---|
923 | /**Function******************************************************************** |
---|
924 | |
---|
925 | Synopsis [Tests the functions related to the exclusive OR.] |
---|
926 | |
---|
927 | Description [Tests the functions related to the exclusive OR. It |
---|
928 | builds the boolean difference of the given function in three |
---|
929 | different ways and checks that the results is the same. Returns 1 if |
---|
930 | successful; 0 otherwise.] |
---|
931 | |
---|
932 | SideEffects [None] |
---|
933 | |
---|
934 | SeeAlso [] |
---|
935 | |
---|
936 | ******************************************************************************/ |
---|
937 | static int |
---|
938 | testXor(DdManager *dd, DdNode *f, int pr, int nvars) |
---|
939 | { |
---|
940 | DdNode *f1, *f0, *res1, *res2; |
---|
941 | int x; |
---|
942 | |
---|
943 | /* Extract cofactors w.r.t. mid variable. */ |
---|
944 | x = nvars / 2; |
---|
945 | f1 = Cudd_Cofactor(dd,f,dd->vars[x]); |
---|
946 | if (f1 == NULL) return(0); |
---|
947 | Cudd_Ref(f1); |
---|
948 | |
---|
949 | f0 = Cudd_Cofactor(dd,f,Cudd_Not(dd->vars[x])); |
---|
950 | if (f0 == NULL) { |
---|
951 | Cudd_RecursiveDeref(dd,f1); |
---|
952 | return(0); |
---|
953 | } |
---|
954 | Cudd_Ref(f0); |
---|
955 | |
---|
956 | /* Compute XOR of cofactors with ITE. */ |
---|
957 | res1 = Cudd_bddIte(dd,f1,Cudd_Not(f0),f0); |
---|
958 | if (res1 == NULL) return(0); |
---|
959 | Cudd_Ref(res1); |
---|
960 | |
---|
961 | if (pr>0) {(void) printf("xor1"); Cudd_PrintDebug(dd,res1,nvars,pr);} |
---|
962 | |
---|
963 | /* Compute XOR of cofactors with XOR. */ |
---|
964 | res2 = Cudd_bddXor(dd,f1,f0); |
---|
965 | if (res2 == NULL) { |
---|
966 | Cudd_RecursiveDeref(dd,res1); |
---|
967 | return(0); |
---|
968 | } |
---|
969 | Cudd_Ref(res2); |
---|
970 | |
---|
971 | if (res1 != res2) { |
---|
972 | if (pr>0) {(void) printf("xor2"); Cudd_PrintDebug(dd,res2,nvars,pr);} |
---|
973 | Cudd_RecursiveDeref(dd,res1); |
---|
974 | Cudd_RecursiveDeref(dd,res2); |
---|
975 | return(0); |
---|
976 | } |
---|
977 | Cudd_RecursiveDeref(dd,res1); |
---|
978 | Cudd_RecursiveDeref(dd,f1); |
---|
979 | Cudd_RecursiveDeref(dd,f0); |
---|
980 | |
---|
981 | /* Compute boolean difference directly. */ |
---|
982 | res1 = Cudd_bddBooleanDiff(dd,f,x); |
---|
983 | if (res1 == NULL) { |
---|
984 | Cudd_RecursiveDeref(dd,res2); |
---|
985 | return(0); |
---|
986 | } |
---|
987 | Cudd_Ref(res1); |
---|
988 | |
---|
989 | if (res1 != res2) { |
---|
990 | if (pr>0) {(void) printf("xor3"); Cudd_PrintDebug(dd,res1,nvars,pr);} |
---|
991 | Cudd_RecursiveDeref(dd,res1); |
---|
992 | Cudd_RecursiveDeref(dd,res2); |
---|
993 | return(0); |
---|
994 | } |
---|
995 | Cudd_RecursiveDeref(dd,res1); |
---|
996 | Cudd_RecursiveDeref(dd,res2); |
---|
997 | return(1); |
---|
998 | |
---|
999 | } /* end of testXor */ |
---|
1000 | |
---|
1001 | |
---|
1002 | /**Function******************************************************************** |
---|
1003 | |
---|
1004 | Synopsis [Tests the Hamming distance functions.] |
---|
1005 | |
---|
1006 | Description [Tests the Hammming distance functions. Returns |
---|
1007 | 1 if successful; 0 otherwise.] |
---|
1008 | |
---|
1009 | SideEffects [None] |
---|
1010 | |
---|
1011 | SeeAlso [] |
---|
1012 | |
---|
1013 | ******************************************************************************/ |
---|
1014 | static int |
---|
1015 | testHamming( |
---|
1016 | DdManager *dd, |
---|
1017 | DdNode *f, |
---|
1018 | int pr) |
---|
1019 | { |
---|
1020 | DdNode **vars, *minBdd, *zero, *scan; |
---|
1021 | int i; |
---|
1022 | int d; |
---|
1023 | int *minterm; |
---|
1024 | int size = Cudd_ReadSize(dd); |
---|
1025 | |
---|
1026 | vars = ALLOC(DdNode *, size); |
---|
1027 | if (vars == NULL) return(0); |
---|
1028 | for (i = 0; i < size; i++) { |
---|
1029 | vars[i] = Cudd_bddIthVar(dd,i); |
---|
1030 | } |
---|
1031 | |
---|
1032 | minBdd = Cudd_bddPickOneMinterm(dd,Cudd_Not(f),vars,size); |
---|
1033 | Cudd_Ref(minBdd); |
---|
1034 | if (pr > 0) { |
---|
1035 | (void) printf("Chosen minterm for Hamming distance test: "); |
---|
1036 | Cudd_PrintDebug(dd,minBdd,size,pr); |
---|
1037 | } |
---|
1038 | |
---|
1039 | minterm = ALLOC(int,size); |
---|
1040 | if (minterm == NULL) { |
---|
1041 | FREE(vars); |
---|
1042 | Cudd_RecursiveDeref(dd,minBdd); |
---|
1043 | return(0); |
---|
1044 | } |
---|
1045 | scan = minBdd; |
---|
1046 | zero = Cudd_Not(DD_ONE(dd)); |
---|
1047 | while (!Cudd_IsConstant(scan)) { |
---|
1048 | DdNode *R = Cudd_Regular(scan); |
---|
1049 | DdNode *T = Cudd_T(R); |
---|
1050 | DdNode *E = Cudd_E(R); |
---|
1051 | if (R != scan) { |
---|
1052 | T = Cudd_Not(T); |
---|
1053 | E = Cudd_Not(E); |
---|
1054 | } |
---|
1055 | if (T == zero) { |
---|
1056 | minterm[R->index] = 0; |
---|
1057 | scan = E; |
---|
1058 | } else { |
---|
1059 | minterm[R->index] = 1; |
---|
1060 | scan = T; |
---|
1061 | } |
---|
1062 | } |
---|
1063 | Cudd_RecursiveDeref(dd,minBdd); |
---|
1064 | |
---|
1065 | d = Cudd_MinHammingDist(dd,f,minterm,size); |
---|
1066 | |
---|
1067 | (void) printf("Minimum Hamming distance = %d\n", d); |
---|
1068 | |
---|
1069 | FREE(vars); |
---|
1070 | FREE(minterm); |
---|
1071 | return(1); |
---|
1072 | |
---|
1073 | } /* end of testHamming */ |
---|