1 | /* |
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2 | * divsufsort.c for libdivsufsort-lite |
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3 | * Copyright (c) 2003-2008 Yuta Mori All Rights Reserved. |
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4 | * |
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5 | * Permission is hereby granted, free of charge, to any person |
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6 | * obtaining a copy of this software and associated documentation |
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7 | * files (the "Software"), to deal in the Software without |
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8 | * restriction, including without limitation the rights to use, |
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9 | * copy, modify, merge, publish, distribute, sublicense, and/or sell |
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10 | * copies of the Software, and to permit persons to whom the |
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11 | * Software is furnished to do so, subject to the following |
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12 | * conditions: |
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13 | * |
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14 | * The above copyright notice and this permission notice shall be |
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15 | * included in all copies or substantial portions of the Software. |
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16 | * |
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17 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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18 | * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES |
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19 | * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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20 | * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT |
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21 | * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, |
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22 | * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
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23 | * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR |
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24 | * OTHER DEALINGS IN THE SOFTWARE. |
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25 | */ |
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26 | |
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27 | /*- Compiler specifics -*/ |
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28 | #ifdef __clang__ |
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29 | #pragma clang diagnostic ignored "-Wshorten-64-to-32" |
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30 | #endif |
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31 | |
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32 | #if defined(_MSC_VER) |
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33 | # pragma warning(disable : 4244) |
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34 | # pragma warning(disable : 4127) /* C4127 : Condition expression is constant */ |
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35 | #endif |
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36 | |
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37 | |
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38 | /*- Dependencies -*/ |
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39 | #include <assert.h> |
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40 | #include <stdio.h> |
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41 | #include <stdlib.h> |
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42 | |
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43 | #include "divsufsort.h" |
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44 | |
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45 | /*- Constants -*/ |
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46 | #if defined(INLINE) |
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47 | # undef INLINE |
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48 | #endif |
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49 | #if !defined(INLINE) |
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50 | # define INLINE __inline |
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51 | #endif |
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52 | #if defined(ALPHABET_SIZE) && (ALPHABET_SIZE < 1) |
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53 | # undef ALPHABET_SIZE |
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54 | #endif |
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55 | #if !defined(ALPHABET_SIZE) |
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56 | # define ALPHABET_SIZE (256) |
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57 | #endif |
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58 | #define BUCKET_A_SIZE (ALPHABET_SIZE) |
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59 | #define BUCKET_B_SIZE (ALPHABET_SIZE * ALPHABET_SIZE) |
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60 | #if defined(SS_INSERTIONSORT_THRESHOLD) |
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61 | # if SS_INSERTIONSORT_THRESHOLD < 1 |
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62 | # undef SS_INSERTIONSORT_THRESHOLD |
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63 | # define SS_INSERTIONSORT_THRESHOLD (1) |
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64 | # endif |
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65 | #else |
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66 | # define SS_INSERTIONSORT_THRESHOLD (8) |
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67 | #endif |
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68 | #if defined(SS_BLOCKSIZE) |
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69 | # if SS_BLOCKSIZE < 0 |
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70 | # undef SS_BLOCKSIZE |
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71 | # define SS_BLOCKSIZE (0) |
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72 | # elif 32768 <= SS_BLOCKSIZE |
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73 | # undef SS_BLOCKSIZE |
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74 | # define SS_BLOCKSIZE (32767) |
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75 | # endif |
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76 | #else |
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77 | # define SS_BLOCKSIZE (1024) |
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78 | #endif |
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79 | /* minstacksize = log(SS_BLOCKSIZE) / log(3) * 2 */ |
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80 | #if SS_BLOCKSIZE == 0 |
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81 | # define SS_MISORT_STACKSIZE (96) |
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82 | #elif SS_BLOCKSIZE <= 4096 |
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83 | # define SS_MISORT_STACKSIZE (16) |
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84 | #else |
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85 | # define SS_MISORT_STACKSIZE (24) |
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86 | #endif |
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87 | #define SS_SMERGE_STACKSIZE (32) |
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88 | #define TR_INSERTIONSORT_THRESHOLD (8) |
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89 | #define TR_STACKSIZE (64) |
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90 | |
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91 | |
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92 | /*- Macros -*/ |
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93 | #ifndef SWAP |
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94 | # define SWAP(_a, _b) do { t = (_a); (_a) = (_b); (_b) = t; } while(0) |
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95 | #endif /* SWAP */ |
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96 | #ifndef MIN |
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97 | # define MIN(_a, _b) (((_a) < (_b)) ? (_a) : (_b)) |
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98 | #endif /* MIN */ |
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99 | #ifndef MAX |
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100 | # define MAX(_a, _b) (((_a) > (_b)) ? (_a) : (_b)) |
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101 | #endif /* MAX */ |
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102 | #define STACK_PUSH(_a, _b, _c, _d)\ |
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103 | do {\ |
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104 | assert(ssize < STACK_SIZE);\ |
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105 | stack[ssize].a = (_a), stack[ssize].b = (_b),\ |
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106 | stack[ssize].c = (_c), stack[ssize++].d = (_d);\ |
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107 | } while(0) |
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108 | #define STACK_PUSH5(_a, _b, _c, _d, _e)\ |
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109 | do {\ |
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110 | assert(ssize < STACK_SIZE);\ |
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111 | stack[ssize].a = (_a), stack[ssize].b = (_b),\ |
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112 | stack[ssize].c = (_c), stack[ssize].d = (_d), stack[ssize++].e = (_e);\ |
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113 | } while(0) |
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114 | #define STACK_POP(_a, _b, _c, _d)\ |
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115 | do {\ |
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116 | assert(0 <= ssize);\ |
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117 | if(ssize == 0) { return; }\ |
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118 | (_a) = stack[--ssize].a, (_b) = stack[ssize].b,\ |
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119 | (_c) = stack[ssize].c, (_d) = stack[ssize].d;\ |
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120 | } while(0) |
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121 | #define STACK_POP5(_a, _b, _c, _d, _e)\ |
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122 | do {\ |
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123 | assert(0 <= ssize);\ |
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124 | if(ssize == 0) { return; }\ |
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125 | (_a) = stack[--ssize].a, (_b) = stack[ssize].b,\ |
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126 | (_c) = stack[ssize].c, (_d) = stack[ssize].d, (_e) = stack[ssize].e;\ |
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127 | } while(0) |
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128 | #define BUCKET_A(_c0) bucket_A[(_c0)] |
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129 | #if ALPHABET_SIZE == 256 |
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130 | #define BUCKET_B(_c0, _c1) (bucket_B[((_c1) << 8) | (_c0)]) |
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131 | #define BUCKET_BSTAR(_c0, _c1) (bucket_B[((_c0) << 8) | (_c1)]) |
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132 | #else |
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133 | #define BUCKET_B(_c0, _c1) (bucket_B[(_c1) * ALPHABET_SIZE + (_c0)]) |
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134 | #define BUCKET_BSTAR(_c0, _c1) (bucket_B[(_c0) * ALPHABET_SIZE + (_c1)]) |
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135 | #endif |
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136 | |
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137 | |
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138 | /*- Private Functions -*/ |
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139 | |
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140 | static const int lg_table[256]= { |
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141 | -1,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4, |
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142 | 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, |
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143 | 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, |
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144 | 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, |
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145 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
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146 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
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147 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
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148 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7 |
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149 | }; |
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150 | |
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151 | #if (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) |
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152 | |
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153 | static INLINE |
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154 | int |
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155 | ss_ilg(int n) { |
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156 | #if SS_BLOCKSIZE == 0 |
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157 | return (n & 0xffff0000) ? |
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158 | ((n & 0xff000000) ? |
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159 | 24 + lg_table[(n >> 24) & 0xff] : |
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160 | 16 + lg_table[(n >> 16) & 0xff]) : |
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161 | ((n & 0x0000ff00) ? |
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162 | 8 + lg_table[(n >> 8) & 0xff] : |
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163 | 0 + lg_table[(n >> 0) & 0xff]); |
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164 | #elif SS_BLOCKSIZE < 256 |
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165 | return lg_table[n]; |
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166 | #else |
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167 | return (n & 0xff00) ? |
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168 | 8 + lg_table[(n >> 8) & 0xff] : |
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169 | 0 + lg_table[(n >> 0) & 0xff]; |
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170 | #endif |
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171 | } |
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172 | |
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173 | #endif /* (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) */ |
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174 | |
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175 | #if SS_BLOCKSIZE != 0 |
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176 | |
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177 | static const int sqq_table[256] = { |
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178 | 0, 16, 22, 27, 32, 35, 39, 42, 45, 48, 50, 53, 55, 57, 59, 61, |
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179 | 64, 65, 67, 69, 71, 73, 75, 76, 78, 80, 81, 83, 84, 86, 87, 89, |
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180 | 90, 91, 93, 94, 96, 97, 98, 99, 101, 102, 103, 104, 106, 107, 108, 109, |
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181 | 110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, |
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182 | 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, |
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183 | 143, 144, 144, 145, 146, 147, 148, 149, 150, 150, 151, 152, 153, 154, 155, 155, |
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184 | 156, 157, 158, 159, 160, 160, 161, 162, 163, 163, 164, 165, 166, 167, 167, 168, |
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185 | 169, 170, 170, 171, 172, 173, 173, 174, 175, 176, 176, 177, 178, 178, 179, 180, |
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186 | 181, 181, 182, 183, 183, 184, 185, 185, 186, 187, 187, 188, 189, 189, 190, 191, |
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187 | 192, 192, 193, 193, 194, 195, 195, 196, 197, 197, 198, 199, 199, 200, 201, 201, |
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188 | 202, 203, 203, 204, 204, 205, 206, 206, 207, 208, 208, 209, 209, 210, 211, 211, |
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189 | 212, 212, 213, 214, 214, 215, 215, 216, 217, 217, 218, 218, 219, 219, 220, 221, |
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190 | 221, 222, 222, 223, 224, 224, 225, 225, 226, 226, 227, 227, 228, 229, 229, 230, |
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191 | 230, 231, 231, 232, 232, 233, 234, 234, 235, 235, 236, 236, 237, 237, 238, 238, |
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192 | 239, 240, 240, 241, 241, 242, 242, 243, 243, 244, 244, 245, 245, 246, 246, 247, |
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193 | 247, 248, 248, 249, 249, 250, 250, 251, 251, 252, 252, 253, 253, 254, 254, 255 |
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194 | }; |
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195 | |
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196 | static INLINE |
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197 | int |
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198 | ss_isqrt(int x) { |
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199 | int y, e; |
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200 | |
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201 | if(x >= (SS_BLOCKSIZE * SS_BLOCKSIZE)) { return SS_BLOCKSIZE; } |
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202 | e = (x & 0xffff0000) ? |
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203 | ((x & 0xff000000) ? |
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204 | 24 + lg_table[(x >> 24) & 0xff] : |
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205 | 16 + lg_table[(x >> 16) & 0xff]) : |
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206 | ((x & 0x0000ff00) ? |
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207 | 8 + lg_table[(x >> 8) & 0xff] : |
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208 | 0 + lg_table[(x >> 0) & 0xff]); |
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209 | |
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210 | if(e >= 16) { |
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211 | y = sqq_table[x >> ((e - 6) - (e & 1))] << ((e >> 1) - 7); |
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212 | if(e >= 24) { y = (y + 1 + x / y) >> 1; } |
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213 | y = (y + 1 + x / y) >> 1; |
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214 | } else if(e >= 8) { |
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215 | y = (sqq_table[x >> ((e - 6) - (e & 1))] >> (7 - (e >> 1))) + 1; |
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216 | } else { |
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217 | return sqq_table[x] >> 4; |
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218 | } |
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219 | |
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220 | return (x < (y * y)) ? y - 1 : y; |
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221 | } |
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222 | |
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223 | #endif /* SS_BLOCKSIZE != 0 */ |
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224 | |
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225 | |
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226 | /*---------------------------------------------------------------------------*/ |
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227 | |
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228 | /* Compares two suffixes. */ |
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229 | static INLINE |
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230 | int |
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231 | ss_compare(const unsigned char *T, |
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232 | const int *p1, const int *p2, |
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233 | int depth) { |
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234 | const unsigned char *U1, *U2, *U1n, *U2n; |
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235 | |
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236 | for(U1 = T + depth + *p1, |
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237 | U2 = T + depth + *p2, |
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238 | U1n = T + *(p1 + 1) + 2, |
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239 | U2n = T + *(p2 + 1) + 2; |
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240 | (U1 < U1n) && (U2 < U2n) && (*U1 == *U2); |
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241 | ++U1, ++U2) { |
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242 | } |
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243 | |
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244 | return U1 < U1n ? |
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245 | (U2 < U2n ? *U1 - *U2 : 1) : |
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246 | (U2 < U2n ? -1 : 0); |
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247 | } |
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248 | |
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249 | |
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250 | /*---------------------------------------------------------------------------*/ |
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251 | |
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252 | #if (SS_BLOCKSIZE != 1) && (SS_INSERTIONSORT_THRESHOLD != 1) |
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253 | |
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254 | /* Insertionsort for small size groups */ |
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255 | static |
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256 | void |
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257 | ss_insertionsort(const unsigned char *T, const int *PA, |
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258 | int *first, int *last, int depth) { |
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259 | int *i, *j; |
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260 | int t; |
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261 | int r; |
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262 | |
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263 | for(i = last - 2; first <= i; --i) { |
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264 | for(t = *i, j = i + 1; 0 < (r = ss_compare(T, PA + t, PA + *j, depth));) { |
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265 | do { *(j - 1) = *j; } while((++j < last) && (*j < 0)); |
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266 | if(last <= j) { break; } |
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267 | } |
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268 | if(r == 0) { *j = ~*j; } |
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269 | *(j - 1) = t; |
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270 | } |
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271 | } |
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272 | |
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273 | #endif /* (SS_BLOCKSIZE != 1) && (SS_INSERTIONSORT_THRESHOLD != 1) */ |
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274 | |
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275 | |
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276 | /*---------------------------------------------------------------------------*/ |
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277 | |
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278 | #if (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) |
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279 | |
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280 | static INLINE |
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281 | void |
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282 | ss_fixdown(const unsigned char *Td, const int *PA, |
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283 | int *SA, int i, int size) { |
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284 | int j, k; |
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285 | int v; |
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286 | int c, d, e; |
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287 | |
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288 | for(v = SA[i], c = Td[PA[v]]; (j = 2 * i + 1) < size; SA[i] = SA[k], i = k) { |
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289 | d = Td[PA[SA[k = j++]]]; |
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290 | if(d < (e = Td[PA[SA[j]]])) { k = j; d = e; } |
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291 | if(d <= c) { break; } |
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292 | } |
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293 | SA[i] = v; |
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294 | } |
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295 | |
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296 | /* Simple top-down heapsort. */ |
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297 | static |
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298 | void |
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299 | ss_heapsort(const unsigned char *Td, const int *PA, int *SA, int size) { |
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300 | int i, m; |
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301 | int t; |
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302 | |
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303 | m = size; |
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304 | if((size % 2) == 0) { |
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305 | m--; |
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306 | if(Td[PA[SA[m / 2]]] < Td[PA[SA[m]]]) { SWAP(SA[m], SA[m / 2]); } |
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307 | } |
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308 | |
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309 | for(i = m / 2 - 1; 0 <= i; --i) { ss_fixdown(Td, PA, SA, i, m); } |
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310 | if((size % 2) == 0) { SWAP(SA[0], SA[m]); ss_fixdown(Td, PA, SA, 0, m); } |
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311 | for(i = m - 1; 0 < i; --i) { |
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312 | t = SA[0], SA[0] = SA[i]; |
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313 | ss_fixdown(Td, PA, SA, 0, i); |
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314 | SA[i] = t; |
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315 | } |
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316 | } |
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317 | |
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318 | |
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319 | /*---------------------------------------------------------------------------*/ |
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320 | |
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321 | /* Returns the median of three elements. */ |
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322 | static INLINE |
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323 | int * |
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324 | ss_median3(const unsigned char *Td, const int *PA, |
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325 | int *v1, int *v2, int *v3) { |
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326 | int *t; |
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327 | if(Td[PA[*v1]] > Td[PA[*v2]]) { SWAP(v1, v2); } |
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328 | if(Td[PA[*v2]] > Td[PA[*v3]]) { |
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329 | if(Td[PA[*v1]] > Td[PA[*v3]]) { return v1; } |
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330 | else { return v3; } |
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331 | } |
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332 | return v2; |
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333 | } |
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334 | |
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335 | /* Returns the median of five elements. */ |
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336 | static INLINE |
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337 | int * |
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338 | ss_median5(const unsigned char *Td, const int *PA, |
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339 | int *v1, int *v2, int *v3, int *v4, int *v5) { |
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340 | int *t; |
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341 | if(Td[PA[*v2]] > Td[PA[*v3]]) { SWAP(v2, v3); } |
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342 | if(Td[PA[*v4]] > Td[PA[*v5]]) { SWAP(v4, v5); } |
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343 | if(Td[PA[*v2]] > Td[PA[*v4]]) { SWAP(v2, v4); SWAP(v3, v5); } |
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344 | if(Td[PA[*v1]] > Td[PA[*v3]]) { SWAP(v1, v3); } |
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345 | if(Td[PA[*v1]] > Td[PA[*v4]]) { SWAP(v1, v4); SWAP(v3, v5); } |
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346 | if(Td[PA[*v3]] > Td[PA[*v4]]) { return v4; } |
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347 | return v3; |
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348 | } |
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349 | |
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350 | /* Returns the pivot element. */ |
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351 | static INLINE |
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352 | int * |
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353 | ss_pivot(const unsigned char *Td, const int *PA, int *first, int *last) { |
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354 | int *middle; |
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355 | int t; |
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356 | |
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357 | t = last - first; |
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358 | middle = first + t / 2; |
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359 | |
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360 | if(t <= 512) { |
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361 | if(t <= 32) { |
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362 | return ss_median3(Td, PA, first, middle, last - 1); |
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363 | } else { |
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364 | t >>= 2; |
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365 | return ss_median5(Td, PA, first, first + t, middle, last - 1 - t, last - 1); |
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366 | } |
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367 | } |
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368 | t >>= 3; |
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369 | first = ss_median3(Td, PA, first, first + t, first + (t << 1)); |
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370 | middle = ss_median3(Td, PA, middle - t, middle, middle + t); |
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371 | last = ss_median3(Td, PA, last - 1 - (t << 1), last - 1 - t, last - 1); |
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372 | return ss_median3(Td, PA, first, middle, last); |
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373 | } |
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374 | |
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375 | |
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376 | /*---------------------------------------------------------------------------*/ |
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377 | |
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378 | /* Binary partition for substrings. */ |
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379 | static INLINE |
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380 | int * |
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381 | ss_partition(const int *PA, |
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382 | int *first, int *last, int depth) { |
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383 | int *a, *b; |
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384 | int t; |
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385 | for(a = first - 1, b = last;;) { |
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386 | for(; (++a < b) && ((PA[*a] + depth) >= (PA[*a + 1] + 1));) { *a = ~*a; } |
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387 | for(; (a < --b) && ((PA[*b] + depth) < (PA[*b + 1] + 1));) { } |
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388 | if(b <= a) { break; } |
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389 | t = ~*b; |
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390 | *b = *a; |
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391 | *a = t; |
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392 | } |
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393 | if(first < a) { *first = ~*first; } |
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394 | return a; |
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395 | } |
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396 | |
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397 | /* Multikey introsort for medium size groups. */ |
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398 | static |
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399 | void |
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400 | ss_mintrosort(const unsigned char *T, const int *PA, |
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401 | int *first, int *last, |
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402 | int depth) { |
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403 | #define STACK_SIZE SS_MISORT_STACKSIZE |
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404 | struct { int *a, *b, c; int d; } stack[STACK_SIZE]; |
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405 | const unsigned char *Td; |
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406 | int *a, *b, *c, *d, *e, *f; |
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407 | int s, t; |
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408 | int ssize; |
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409 | int limit; |
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410 | int v, x = 0; |
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411 | |
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412 | for(ssize = 0, limit = ss_ilg(last - first);;) { |
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413 | |
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414 | if((last - first) <= SS_INSERTIONSORT_THRESHOLD) { |
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415 | #if 1 < SS_INSERTIONSORT_THRESHOLD |
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416 | if(1 < (last - first)) { ss_insertionsort(T, PA, first, last, depth); } |
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417 | #endif |
---|
418 | STACK_POP(first, last, depth, limit); |
---|
419 | continue; |
---|
420 | } |
---|
421 | |
---|
422 | Td = T + depth; |
---|
423 | if(limit-- == 0) { ss_heapsort(Td, PA, first, last - first); } |
---|
424 | if(limit < 0) { |
---|
425 | for(a = first + 1, v = Td[PA[*first]]; a < last; ++a) { |
---|
426 | if((x = Td[PA[*a]]) != v) { |
---|
427 | if(1 < (a - first)) { break; } |
---|
428 | v = x; |
---|
429 | first = a; |
---|
430 | } |
---|
431 | } |
---|
432 | if(Td[PA[*first] - 1] < v) { |
---|
433 | first = ss_partition(PA, first, a, depth); |
---|
434 | } |
---|
435 | if((a - first) <= (last - a)) { |
---|
436 | if(1 < (a - first)) { |
---|
437 | STACK_PUSH(a, last, depth, -1); |
---|
438 | last = a, depth += 1, limit = ss_ilg(a - first); |
---|
439 | } else { |
---|
440 | first = a, limit = -1; |
---|
441 | } |
---|
442 | } else { |
---|
443 | if(1 < (last - a)) { |
---|
444 | STACK_PUSH(first, a, depth + 1, ss_ilg(a - first)); |
---|
445 | first = a, limit = -1; |
---|
446 | } else { |
---|
447 | last = a, depth += 1, limit = ss_ilg(a - first); |
---|
448 | } |
---|
449 | } |
---|
450 | continue; |
---|
451 | } |
---|
452 | |
---|
453 | /* choose pivot */ |
---|
454 | a = ss_pivot(Td, PA, first, last); |
---|
455 | v = Td[PA[*a]]; |
---|
456 | SWAP(*first, *a); |
---|
457 | |
---|
458 | /* partition */ |
---|
459 | for(b = first; (++b < last) && ((x = Td[PA[*b]]) == v);) { } |
---|
460 | if(((a = b) < last) && (x < v)) { |
---|
461 | for(; (++b < last) && ((x = Td[PA[*b]]) <= v);) { |
---|
462 | if(x == v) { SWAP(*b, *a); ++a; } |
---|
463 | } |
---|
464 | } |
---|
465 | for(c = last; (b < --c) && ((x = Td[PA[*c]]) == v);) { } |
---|
466 | if((b < (d = c)) && (x > v)) { |
---|
467 | for(; (b < --c) && ((x = Td[PA[*c]]) >= v);) { |
---|
468 | if(x == v) { SWAP(*c, *d); --d; } |
---|
469 | } |
---|
470 | } |
---|
471 | for(; b < c;) { |
---|
472 | SWAP(*b, *c); |
---|
473 | for(; (++b < c) && ((x = Td[PA[*b]]) <= v);) { |
---|
474 | if(x == v) { SWAP(*b, *a); ++a; } |
---|
475 | } |
---|
476 | for(; (b < --c) && ((x = Td[PA[*c]]) >= v);) { |
---|
477 | if(x == v) { SWAP(*c, *d); --d; } |
---|
478 | } |
---|
479 | } |
---|
480 | |
---|
481 | if(a <= d) { |
---|
482 | c = b - 1; |
---|
483 | |
---|
484 | if((s = a - first) > (t = b - a)) { s = t; } |
---|
485 | for(e = first, f = b - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); } |
---|
486 | if((s = d - c) > (t = last - d - 1)) { s = t; } |
---|
487 | for(e = b, f = last - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); } |
---|
488 | |
---|
489 | a = first + (b - a), c = last - (d - c); |
---|
490 | b = (v <= Td[PA[*a] - 1]) ? a : ss_partition(PA, a, c, depth); |
---|
491 | |
---|
492 | if((a - first) <= (last - c)) { |
---|
493 | if((last - c) <= (c - b)) { |
---|
494 | STACK_PUSH(b, c, depth + 1, ss_ilg(c - b)); |
---|
495 | STACK_PUSH(c, last, depth, limit); |
---|
496 | last = a; |
---|
497 | } else if((a - first) <= (c - b)) { |
---|
498 | STACK_PUSH(c, last, depth, limit); |
---|
499 | STACK_PUSH(b, c, depth + 1, ss_ilg(c - b)); |
---|
500 | last = a; |
---|
501 | } else { |
---|
502 | STACK_PUSH(c, last, depth, limit); |
---|
503 | STACK_PUSH(first, a, depth, limit); |
---|
504 | first = b, last = c, depth += 1, limit = ss_ilg(c - b); |
---|
505 | } |
---|
506 | } else { |
---|
507 | if((a - first) <= (c - b)) { |
---|
508 | STACK_PUSH(b, c, depth + 1, ss_ilg(c - b)); |
---|
509 | STACK_PUSH(first, a, depth, limit); |
---|
510 | first = c; |
---|
511 | } else if((last - c) <= (c - b)) { |
---|
512 | STACK_PUSH(first, a, depth, limit); |
---|
513 | STACK_PUSH(b, c, depth + 1, ss_ilg(c - b)); |
---|
514 | first = c; |
---|
515 | } else { |
---|
516 | STACK_PUSH(first, a, depth, limit); |
---|
517 | STACK_PUSH(c, last, depth, limit); |
---|
518 | first = b, last = c, depth += 1, limit = ss_ilg(c - b); |
---|
519 | } |
---|
520 | } |
---|
521 | } else { |
---|
522 | limit += 1; |
---|
523 | if(Td[PA[*first] - 1] < v) { |
---|
524 | first = ss_partition(PA, first, last, depth); |
---|
525 | limit = ss_ilg(last - first); |
---|
526 | } |
---|
527 | depth += 1; |
---|
528 | } |
---|
529 | } |
---|
530 | #undef STACK_SIZE |
---|
531 | } |
---|
532 | |
---|
533 | #endif /* (SS_BLOCKSIZE == 0) || (SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE) */ |
---|
534 | |
---|
535 | |
---|
536 | /*---------------------------------------------------------------------------*/ |
---|
537 | |
---|
538 | #if SS_BLOCKSIZE != 0 |
---|
539 | |
---|
540 | static INLINE |
---|
541 | void |
---|
542 | ss_blockswap(int *a, int *b, int n) { |
---|
543 | int t; |
---|
544 | for(; 0 < n; --n, ++a, ++b) { |
---|
545 | t = *a, *a = *b, *b = t; |
---|
546 | } |
---|
547 | } |
---|
548 | |
---|
549 | static INLINE |
---|
550 | void |
---|
551 | ss_rotate(int *first, int *middle, int *last) { |
---|
552 | int *a, *b, t; |
---|
553 | int l, r; |
---|
554 | l = middle - first, r = last - middle; |
---|
555 | for(; (0 < l) && (0 < r);) { |
---|
556 | if(l == r) { ss_blockswap(first, middle, l); break; } |
---|
557 | if(l < r) { |
---|
558 | a = last - 1, b = middle - 1; |
---|
559 | t = *a; |
---|
560 | do { |
---|
561 | *a-- = *b, *b-- = *a; |
---|
562 | if(b < first) { |
---|
563 | *a = t; |
---|
564 | last = a; |
---|
565 | if((r -= l + 1) <= l) { break; } |
---|
566 | a -= 1, b = middle - 1; |
---|
567 | t = *a; |
---|
568 | } |
---|
569 | } while(1); |
---|
570 | } else { |
---|
571 | a = first, b = middle; |
---|
572 | t = *a; |
---|
573 | do { |
---|
574 | *a++ = *b, *b++ = *a; |
---|
575 | if(last <= b) { |
---|
576 | *a = t; |
---|
577 | first = a + 1; |
---|
578 | if((l -= r + 1) <= r) { break; } |
---|
579 | a += 1, b = middle; |
---|
580 | t = *a; |
---|
581 | } |
---|
582 | } while(1); |
---|
583 | } |
---|
584 | } |
---|
585 | } |
---|
586 | |
---|
587 | |
---|
588 | /*---------------------------------------------------------------------------*/ |
---|
589 | |
---|
590 | static |
---|
591 | void |
---|
592 | ss_inplacemerge(const unsigned char *T, const int *PA, |
---|
593 | int *first, int *middle, int *last, |
---|
594 | int depth) { |
---|
595 | const int *p; |
---|
596 | int *a, *b; |
---|
597 | int len, half; |
---|
598 | int q, r; |
---|
599 | int x; |
---|
600 | |
---|
601 | for(;;) { |
---|
602 | if(*(last - 1) < 0) { x = 1; p = PA + ~*(last - 1); } |
---|
603 | else { x = 0; p = PA + *(last - 1); } |
---|
604 | for(a = first, len = middle - first, half = len >> 1, r = -1; |
---|
605 | 0 < len; |
---|
606 | len = half, half >>= 1) { |
---|
607 | b = a + half; |
---|
608 | q = ss_compare(T, PA + ((0 <= *b) ? *b : ~*b), p, depth); |
---|
609 | if(q < 0) { |
---|
610 | a = b + 1; |
---|
611 | half -= (len & 1) ^ 1; |
---|
612 | } else { |
---|
613 | r = q; |
---|
614 | } |
---|
615 | } |
---|
616 | if(a < middle) { |
---|
617 | if(r == 0) { *a = ~*a; } |
---|
618 | ss_rotate(a, middle, last); |
---|
619 | last -= middle - a; |
---|
620 | middle = a; |
---|
621 | if(first == middle) { break; } |
---|
622 | } |
---|
623 | --last; |
---|
624 | if(x != 0) { while(*--last < 0) { } } |
---|
625 | if(middle == last) { break; } |
---|
626 | } |
---|
627 | } |
---|
628 | |
---|
629 | |
---|
630 | /*---------------------------------------------------------------------------*/ |
---|
631 | |
---|
632 | /* Merge-forward with internal buffer. */ |
---|
633 | static |
---|
634 | void |
---|
635 | ss_mergeforward(const unsigned char *T, const int *PA, |
---|
636 | int *first, int *middle, int *last, |
---|
637 | int *buf, int depth) { |
---|
638 | int *a, *b, *c, *bufend; |
---|
639 | int t; |
---|
640 | int r; |
---|
641 | |
---|
642 | bufend = buf + (middle - first) - 1; |
---|
643 | ss_blockswap(buf, first, middle - first); |
---|
644 | |
---|
645 | for(t = *(a = first), b = buf, c = middle;;) { |
---|
646 | r = ss_compare(T, PA + *b, PA + *c, depth); |
---|
647 | if(r < 0) { |
---|
648 | do { |
---|
649 | *a++ = *b; |
---|
650 | if(bufend <= b) { *bufend = t; return; } |
---|
651 | *b++ = *a; |
---|
652 | } while(*b < 0); |
---|
653 | } else if(r > 0) { |
---|
654 | do { |
---|
655 | *a++ = *c, *c++ = *a; |
---|
656 | if(last <= c) { |
---|
657 | while(b < bufend) { *a++ = *b, *b++ = *a; } |
---|
658 | *a = *b, *b = t; |
---|
659 | return; |
---|
660 | } |
---|
661 | } while(*c < 0); |
---|
662 | } else { |
---|
663 | *c = ~*c; |
---|
664 | do { |
---|
665 | *a++ = *b; |
---|
666 | if(bufend <= b) { *bufend = t; return; } |
---|
667 | *b++ = *a; |
---|
668 | } while(*b < 0); |
---|
669 | |
---|
670 | do { |
---|
671 | *a++ = *c, *c++ = *a; |
---|
672 | if(last <= c) { |
---|
673 | while(b < bufend) { *a++ = *b, *b++ = *a; } |
---|
674 | *a = *b, *b = t; |
---|
675 | return; |
---|
676 | } |
---|
677 | } while(*c < 0); |
---|
678 | } |
---|
679 | } |
---|
680 | } |
---|
681 | |
---|
682 | /* Merge-backward with internal buffer. */ |
---|
683 | static |
---|
684 | void |
---|
685 | ss_mergebackward(const unsigned char *T, const int *PA, |
---|
686 | int *first, int *middle, int *last, |
---|
687 | int *buf, int depth) { |
---|
688 | const int *p1, *p2; |
---|
689 | int *a, *b, *c, *bufend; |
---|
690 | int t; |
---|
691 | int r; |
---|
692 | int x; |
---|
693 | |
---|
694 | bufend = buf + (last - middle) - 1; |
---|
695 | ss_blockswap(buf, middle, last - middle); |
---|
696 | |
---|
697 | x = 0; |
---|
698 | if(*bufend < 0) { p1 = PA + ~*bufend; x |= 1; } |
---|
699 | else { p1 = PA + *bufend; } |
---|
700 | if(*(middle - 1) < 0) { p2 = PA + ~*(middle - 1); x |= 2; } |
---|
701 | else { p2 = PA + *(middle - 1); } |
---|
702 | for(t = *(a = last - 1), b = bufend, c = middle - 1;;) { |
---|
703 | r = ss_compare(T, p1, p2, depth); |
---|
704 | if(0 < r) { |
---|
705 | if(x & 1) { do { *a-- = *b, *b-- = *a; } while(*b < 0); x ^= 1; } |
---|
706 | *a-- = *b; |
---|
707 | if(b <= buf) { *buf = t; break; } |
---|
708 | *b-- = *a; |
---|
709 | if(*b < 0) { p1 = PA + ~*b; x |= 1; } |
---|
710 | else { p1 = PA + *b; } |
---|
711 | } else if(r < 0) { |
---|
712 | if(x & 2) { do { *a-- = *c, *c-- = *a; } while(*c < 0); x ^= 2; } |
---|
713 | *a-- = *c, *c-- = *a; |
---|
714 | if(c < first) { |
---|
715 | while(buf < b) { *a-- = *b, *b-- = *a; } |
---|
716 | *a = *b, *b = t; |
---|
717 | break; |
---|
718 | } |
---|
719 | if(*c < 0) { p2 = PA + ~*c; x |= 2; } |
---|
720 | else { p2 = PA + *c; } |
---|
721 | } else { |
---|
722 | if(x & 1) { do { *a-- = *b, *b-- = *a; } while(*b < 0); x ^= 1; } |
---|
723 | *a-- = ~*b; |
---|
724 | if(b <= buf) { *buf = t; break; } |
---|
725 | *b-- = *a; |
---|
726 | if(x & 2) { do { *a-- = *c, *c-- = *a; } while(*c < 0); x ^= 2; } |
---|
727 | *a-- = *c, *c-- = *a; |
---|
728 | if(c < first) { |
---|
729 | while(buf < b) { *a-- = *b, *b-- = *a; } |
---|
730 | *a = *b, *b = t; |
---|
731 | break; |
---|
732 | } |
---|
733 | if(*b < 0) { p1 = PA + ~*b; x |= 1; } |
---|
734 | else { p1 = PA + *b; } |
---|
735 | if(*c < 0) { p2 = PA + ~*c; x |= 2; } |
---|
736 | else { p2 = PA + *c; } |
---|
737 | } |
---|
738 | } |
---|
739 | } |
---|
740 | |
---|
741 | /* D&C based merge. */ |
---|
742 | static |
---|
743 | void |
---|
744 | ss_swapmerge(const unsigned char *T, const int *PA, |
---|
745 | int *first, int *middle, int *last, |
---|
746 | int *buf, int bufsize, int depth) { |
---|
747 | #define STACK_SIZE SS_SMERGE_STACKSIZE |
---|
748 | #define GETIDX(a) ((0 <= (a)) ? (a) : (~(a))) |
---|
749 | #define MERGE_CHECK(a, b, c)\ |
---|
750 | do {\ |
---|
751 | if(((c) & 1) ||\ |
---|
752 | (((c) & 2) && (ss_compare(T, PA + GETIDX(*((a) - 1)), PA + *(a), depth) == 0))) {\ |
---|
753 | *(a) = ~*(a);\ |
---|
754 | }\ |
---|
755 | if(((c) & 4) && ((ss_compare(T, PA + GETIDX(*((b) - 1)), PA + *(b), depth) == 0))) {\ |
---|
756 | *(b) = ~*(b);\ |
---|
757 | }\ |
---|
758 | } while(0) |
---|
759 | struct { int *a, *b, *c; int d; } stack[STACK_SIZE]; |
---|
760 | int *l, *r, *lm, *rm; |
---|
761 | int m, len, half; |
---|
762 | int ssize; |
---|
763 | int check, next; |
---|
764 | |
---|
765 | for(check = 0, ssize = 0;;) { |
---|
766 | if((last - middle) <= bufsize) { |
---|
767 | if((first < middle) && (middle < last)) { |
---|
768 | ss_mergebackward(T, PA, first, middle, last, buf, depth); |
---|
769 | } |
---|
770 | MERGE_CHECK(first, last, check); |
---|
771 | STACK_POP(first, middle, last, check); |
---|
772 | continue; |
---|
773 | } |
---|
774 | |
---|
775 | if((middle - first) <= bufsize) { |
---|
776 | if(first < middle) { |
---|
777 | ss_mergeforward(T, PA, first, middle, last, buf, depth); |
---|
778 | } |
---|
779 | MERGE_CHECK(first, last, check); |
---|
780 | STACK_POP(first, middle, last, check); |
---|
781 | continue; |
---|
782 | } |
---|
783 | |
---|
784 | for(m = 0, len = MIN(middle - first, last - middle), half = len >> 1; |
---|
785 | 0 < len; |
---|
786 | len = half, half >>= 1) { |
---|
787 | if(ss_compare(T, PA + GETIDX(*(middle + m + half)), |
---|
788 | PA + GETIDX(*(middle - m - half - 1)), depth) < 0) { |
---|
789 | m += half + 1; |
---|
790 | half -= (len & 1) ^ 1; |
---|
791 | } |
---|
792 | } |
---|
793 | |
---|
794 | if(0 < m) { |
---|
795 | lm = middle - m, rm = middle + m; |
---|
796 | ss_blockswap(lm, middle, m); |
---|
797 | l = r = middle, next = 0; |
---|
798 | if(rm < last) { |
---|
799 | if(*rm < 0) { |
---|
800 | *rm = ~*rm; |
---|
801 | if(first < lm) { for(; *--l < 0;) { } next |= 4; } |
---|
802 | next |= 1; |
---|
803 | } else if(first < lm) { |
---|
804 | for(; *r < 0; ++r) { } |
---|
805 | next |= 2; |
---|
806 | } |
---|
807 | } |
---|
808 | |
---|
809 | if((l - first) <= (last - r)) { |
---|
810 | STACK_PUSH(r, rm, last, (next & 3) | (check & 4)); |
---|
811 | middle = lm, last = l, check = (check & 3) | (next & 4); |
---|
812 | } else { |
---|
813 | if((next & 2) && (r == middle)) { next ^= 6; } |
---|
814 | STACK_PUSH(first, lm, l, (check & 3) | (next & 4)); |
---|
815 | first = r, middle = rm, check = (next & 3) | (check & 4); |
---|
816 | } |
---|
817 | } else { |
---|
818 | if(ss_compare(T, PA + GETIDX(*(middle - 1)), PA + *middle, depth) == 0) { |
---|
819 | *middle = ~*middle; |
---|
820 | } |
---|
821 | MERGE_CHECK(first, last, check); |
---|
822 | STACK_POP(first, middle, last, check); |
---|
823 | } |
---|
824 | } |
---|
825 | #undef STACK_SIZE |
---|
826 | } |
---|
827 | |
---|
828 | #endif /* SS_BLOCKSIZE != 0 */ |
---|
829 | |
---|
830 | |
---|
831 | /*---------------------------------------------------------------------------*/ |
---|
832 | |
---|
833 | /* Substring sort */ |
---|
834 | static |
---|
835 | void |
---|
836 | sssort(const unsigned char *T, const int *PA, |
---|
837 | int *first, int *last, |
---|
838 | int *buf, int bufsize, |
---|
839 | int depth, int n, int lastsuffix) { |
---|
840 | int *a; |
---|
841 | #if SS_BLOCKSIZE != 0 |
---|
842 | int *b, *middle, *curbuf; |
---|
843 | int j, k, curbufsize, limit; |
---|
844 | #endif |
---|
845 | int i; |
---|
846 | |
---|
847 | if(lastsuffix != 0) { ++first; } |
---|
848 | |
---|
849 | #if SS_BLOCKSIZE == 0 |
---|
850 | ss_mintrosort(T, PA, first, last, depth); |
---|
851 | #else |
---|
852 | if((bufsize < SS_BLOCKSIZE) && |
---|
853 | (bufsize < (last - first)) && |
---|
854 | (bufsize < (limit = ss_isqrt(last - first)))) { |
---|
855 | if(SS_BLOCKSIZE < limit) { limit = SS_BLOCKSIZE; } |
---|
856 | buf = middle = last - limit, bufsize = limit; |
---|
857 | } else { |
---|
858 | middle = last, limit = 0; |
---|
859 | } |
---|
860 | for(a = first, i = 0; SS_BLOCKSIZE < (middle - a); a += SS_BLOCKSIZE, ++i) { |
---|
861 | #if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE |
---|
862 | ss_mintrosort(T, PA, a, a + SS_BLOCKSIZE, depth); |
---|
863 | #elif 1 < SS_BLOCKSIZE |
---|
864 | ss_insertionsort(T, PA, a, a + SS_BLOCKSIZE, depth); |
---|
865 | #endif |
---|
866 | curbufsize = last - (a + SS_BLOCKSIZE); |
---|
867 | curbuf = a + SS_BLOCKSIZE; |
---|
868 | if(curbufsize <= bufsize) { curbufsize = bufsize, curbuf = buf; } |
---|
869 | for(b = a, k = SS_BLOCKSIZE, j = i; j & 1; b -= k, k <<= 1, j >>= 1) { |
---|
870 | ss_swapmerge(T, PA, b - k, b, b + k, curbuf, curbufsize, depth); |
---|
871 | } |
---|
872 | } |
---|
873 | #if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE |
---|
874 | ss_mintrosort(T, PA, a, middle, depth); |
---|
875 | #elif 1 < SS_BLOCKSIZE |
---|
876 | ss_insertionsort(T, PA, a, middle, depth); |
---|
877 | #endif |
---|
878 | for(k = SS_BLOCKSIZE; i != 0; k <<= 1, i >>= 1) { |
---|
879 | if(i & 1) { |
---|
880 | ss_swapmerge(T, PA, a - k, a, middle, buf, bufsize, depth); |
---|
881 | a -= k; |
---|
882 | } |
---|
883 | } |
---|
884 | if(limit != 0) { |
---|
885 | #if SS_INSERTIONSORT_THRESHOLD < SS_BLOCKSIZE |
---|
886 | ss_mintrosort(T, PA, middle, last, depth); |
---|
887 | #elif 1 < SS_BLOCKSIZE |
---|
888 | ss_insertionsort(T, PA, middle, last, depth); |
---|
889 | #endif |
---|
890 | ss_inplacemerge(T, PA, first, middle, last, depth); |
---|
891 | } |
---|
892 | #endif |
---|
893 | |
---|
894 | if(lastsuffix != 0) { |
---|
895 | /* Insert last type B* suffix. */ |
---|
896 | int PAi[2]; PAi[0] = PA[*(first - 1)], PAi[1] = n - 2; |
---|
897 | for(a = first, i = *(first - 1); |
---|
898 | (a < last) && ((*a < 0) || (0 < ss_compare(T, &(PAi[0]), PA + *a, depth))); |
---|
899 | ++a) { |
---|
900 | *(a - 1) = *a; |
---|
901 | } |
---|
902 | *(a - 1) = i; |
---|
903 | } |
---|
904 | } |
---|
905 | |
---|
906 | |
---|
907 | /*---------------------------------------------------------------------------*/ |
---|
908 | |
---|
909 | static INLINE |
---|
910 | int |
---|
911 | tr_ilg(int n) { |
---|
912 | return (n & 0xffff0000) ? |
---|
913 | ((n & 0xff000000) ? |
---|
914 | 24 + lg_table[(n >> 24) & 0xff] : |
---|
915 | 16 + lg_table[(n >> 16) & 0xff]) : |
---|
916 | ((n & 0x0000ff00) ? |
---|
917 | 8 + lg_table[(n >> 8) & 0xff] : |
---|
918 | 0 + lg_table[(n >> 0) & 0xff]); |
---|
919 | } |
---|
920 | |
---|
921 | |
---|
922 | /*---------------------------------------------------------------------------*/ |
---|
923 | |
---|
924 | /* Simple insertionsort for small size groups. */ |
---|
925 | static |
---|
926 | void |
---|
927 | tr_insertionsort(const int *ISAd, int *first, int *last) { |
---|
928 | int *a, *b; |
---|
929 | int t, r; |
---|
930 | |
---|
931 | for(a = first + 1; a < last; ++a) { |
---|
932 | for(t = *a, b = a - 1; 0 > (r = ISAd[t] - ISAd[*b]);) { |
---|
933 | do { *(b + 1) = *b; } while((first <= --b) && (*b < 0)); |
---|
934 | if(b < first) { break; } |
---|
935 | } |
---|
936 | if(r == 0) { *b = ~*b; } |
---|
937 | *(b + 1) = t; |
---|
938 | } |
---|
939 | } |
---|
940 | |
---|
941 | |
---|
942 | /*---------------------------------------------------------------------------*/ |
---|
943 | |
---|
944 | static INLINE |
---|
945 | void |
---|
946 | tr_fixdown(const int *ISAd, int *SA, int i, int size) { |
---|
947 | int j, k; |
---|
948 | int v; |
---|
949 | int c, d, e; |
---|
950 | |
---|
951 | for(v = SA[i], c = ISAd[v]; (j = 2 * i + 1) < size; SA[i] = SA[k], i = k) { |
---|
952 | d = ISAd[SA[k = j++]]; |
---|
953 | if(d < (e = ISAd[SA[j]])) { k = j; d = e; } |
---|
954 | if(d <= c) { break; } |
---|
955 | } |
---|
956 | SA[i] = v; |
---|
957 | } |
---|
958 | |
---|
959 | /* Simple top-down heapsort. */ |
---|
960 | static |
---|
961 | void |
---|
962 | tr_heapsort(const int *ISAd, int *SA, int size) { |
---|
963 | int i, m; |
---|
964 | int t; |
---|
965 | |
---|
966 | m = size; |
---|
967 | if((size % 2) == 0) { |
---|
968 | m--; |
---|
969 | if(ISAd[SA[m / 2]] < ISAd[SA[m]]) { SWAP(SA[m], SA[m / 2]); } |
---|
970 | } |
---|
971 | |
---|
972 | for(i = m / 2 - 1; 0 <= i; --i) { tr_fixdown(ISAd, SA, i, m); } |
---|
973 | if((size % 2) == 0) { SWAP(SA[0], SA[m]); tr_fixdown(ISAd, SA, 0, m); } |
---|
974 | for(i = m - 1; 0 < i; --i) { |
---|
975 | t = SA[0], SA[0] = SA[i]; |
---|
976 | tr_fixdown(ISAd, SA, 0, i); |
---|
977 | SA[i] = t; |
---|
978 | } |
---|
979 | } |
---|
980 | |
---|
981 | |
---|
982 | /*---------------------------------------------------------------------------*/ |
---|
983 | |
---|
984 | /* Returns the median of three elements. */ |
---|
985 | static INLINE |
---|
986 | int * |
---|
987 | tr_median3(const int *ISAd, int *v1, int *v2, int *v3) { |
---|
988 | int *t; |
---|
989 | if(ISAd[*v1] > ISAd[*v2]) { SWAP(v1, v2); } |
---|
990 | if(ISAd[*v2] > ISAd[*v3]) { |
---|
991 | if(ISAd[*v1] > ISAd[*v3]) { return v1; } |
---|
992 | else { return v3; } |
---|
993 | } |
---|
994 | return v2; |
---|
995 | } |
---|
996 | |
---|
997 | /* Returns the median of five elements. */ |
---|
998 | static INLINE |
---|
999 | int * |
---|
1000 | tr_median5(const int *ISAd, |
---|
1001 | int *v1, int *v2, int *v3, int *v4, int *v5) { |
---|
1002 | int *t; |
---|
1003 | if(ISAd[*v2] > ISAd[*v3]) { SWAP(v2, v3); } |
---|
1004 | if(ISAd[*v4] > ISAd[*v5]) { SWAP(v4, v5); } |
---|
1005 | if(ISAd[*v2] > ISAd[*v4]) { SWAP(v2, v4); SWAP(v3, v5); } |
---|
1006 | if(ISAd[*v1] > ISAd[*v3]) { SWAP(v1, v3); } |
---|
1007 | if(ISAd[*v1] > ISAd[*v4]) { SWAP(v1, v4); SWAP(v3, v5); } |
---|
1008 | if(ISAd[*v3] > ISAd[*v4]) { return v4; } |
---|
1009 | return v3; |
---|
1010 | } |
---|
1011 | |
---|
1012 | /* Returns the pivot element. */ |
---|
1013 | static INLINE |
---|
1014 | int * |
---|
1015 | tr_pivot(const int *ISAd, int *first, int *last) { |
---|
1016 | int *middle; |
---|
1017 | int t; |
---|
1018 | |
---|
1019 | t = last - first; |
---|
1020 | middle = first + t / 2; |
---|
1021 | |
---|
1022 | if(t <= 512) { |
---|
1023 | if(t <= 32) { |
---|
1024 | return tr_median3(ISAd, first, middle, last - 1); |
---|
1025 | } else { |
---|
1026 | t >>= 2; |
---|
1027 | return tr_median5(ISAd, first, first + t, middle, last - 1 - t, last - 1); |
---|
1028 | } |
---|
1029 | } |
---|
1030 | t >>= 3; |
---|
1031 | first = tr_median3(ISAd, first, first + t, first + (t << 1)); |
---|
1032 | middle = tr_median3(ISAd, middle - t, middle, middle + t); |
---|
1033 | last = tr_median3(ISAd, last - 1 - (t << 1), last - 1 - t, last - 1); |
---|
1034 | return tr_median3(ISAd, first, middle, last); |
---|
1035 | } |
---|
1036 | |
---|
1037 | |
---|
1038 | /*---------------------------------------------------------------------------*/ |
---|
1039 | |
---|
1040 | typedef struct _trbudget_t trbudget_t; |
---|
1041 | struct _trbudget_t { |
---|
1042 | int chance; |
---|
1043 | int remain; |
---|
1044 | int incval; |
---|
1045 | int count; |
---|
1046 | }; |
---|
1047 | |
---|
1048 | static INLINE |
---|
1049 | void |
---|
1050 | trbudget_init(trbudget_t *budget, int chance, int incval) { |
---|
1051 | budget->chance = chance; |
---|
1052 | budget->remain = budget->incval = incval; |
---|
1053 | } |
---|
1054 | |
---|
1055 | static INLINE |
---|
1056 | int |
---|
1057 | trbudget_check(trbudget_t *budget, int size) { |
---|
1058 | if(size <= budget->remain) { budget->remain -= size; return 1; } |
---|
1059 | if(budget->chance == 0) { budget->count += size; return 0; } |
---|
1060 | budget->remain += budget->incval - size; |
---|
1061 | budget->chance -= 1; |
---|
1062 | return 1; |
---|
1063 | } |
---|
1064 | |
---|
1065 | |
---|
1066 | /*---------------------------------------------------------------------------*/ |
---|
1067 | |
---|
1068 | static INLINE |
---|
1069 | void |
---|
1070 | tr_partition(const int *ISAd, |
---|
1071 | int *first, int *middle, int *last, |
---|
1072 | int **pa, int **pb, int v) { |
---|
1073 | int *a, *b, *c, *d, *e, *f; |
---|
1074 | int t, s; |
---|
1075 | int x = 0; |
---|
1076 | |
---|
1077 | for(b = middle - 1; (++b < last) && ((x = ISAd[*b]) == v);) { } |
---|
1078 | if(((a = b) < last) && (x < v)) { |
---|
1079 | for(; (++b < last) && ((x = ISAd[*b]) <= v);) { |
---|
1080 | if(x == v) { SWAP(*b, *a); ++a; } |
---|
1081 | } |
---|
1082 | } |
---|
1083 | for(c = last; (b < --c) && ((x = ISAd[*c]) == v);) { } |
---|
1084 | if((b < (d = c)) && (x > v)) { |
---|
1085 | for(; (b < --c) && ((x = ISAd[*c]) >= v);) { |
---|
1086 | if(x == v) { SWAP(*c, *d); --d; } |
---|
1087 | } |
---|
1088 | } |
---|
1089 | for(; b < c;) { |
---|
1090 | SWAP(*b, *c); |
---|
1091 | for(; (++b < c) && ((x = ISAd[*b]) <= v);) { |
---|
1092 | if(x == v) { SWAP(*b, *a); ++a; } |
---|
1093 | } |
---|
1094 | for(; (b < --c) && ((x = ISAd[*c]) >= v);) { |
---|
1095 | if(x == v) { SWAP(*c, *d); --d; } |
---|
1096 | } |
---|
1097 | } |
---|
1098 | |
---|
1099 | if(a <= d) { |
---|
1100 | c = b - 1; |
---|
1101 | if((s = a - first) > (t = b - a)) { s = t; } |
---|
1102 | for(e = first, f = b - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); } |
---|
1103 | if((s = d - c) > (t = last - d - 1)) { s = t; } |
---|
1104 | for(e = b, f = last - s; 0 < s; --s, ++e, ++f) { SWAP(*e, *f); } |
---|
1105 | first += (b - a), last -= (d - c); |
---|
1106 | } |
---|
1107 | *pa = first, *pb = last; |
---|
1108 | } |
---|
1109 | |
---|
1110 | static |
---|
1111 | void |
---|
1112 | tr_copy(int *ISA, const int *SA, |
---|
1113 | int *first, int *a, int *b, int *last, |
---|
1114 | int depth) { |
---|
1115 | /* sort suffixes of middle partition |
---|
1116 | by using sorted order of suffixes of left and right partition. */ |
---|
1117 | int *c, *d, *e; |
---|
1118 | int s, v; |
---|
1119 | |
---|
1120 | v = b - SA - 1; |
---|
1121 | for(c = first, d = a - 1; c <= d; ++c) { |
---|
1122 | if((0 <= (s = *c - depth)) && (ISA[s] == v)) { |
---|
1123 | *++d = s; |
---|
1124 | ISA[s] = d - SA; |
---|
1125 | } |
---|
1126 | } |
---|
1127 | for(c = last - 1, e = d + 1, d = b; e < d; --c) { |
---|
1128 | if((0 <= (s = *c - depth)) && (ISA[s] == v)) { |
---|
1129 | *--d = s; |
---|
1130 | ISA[s] = d - SA; |
---|
1131 | } |
---|
1132 | } |
---|
1133 | } |
---|
1134 | |
---|
1135 | static |
---|
1136 | void |
---|
1137 | tr_partialcopy(int *ISA, const int *SA, |
---|
1138 | int *first, int *a, int *b, int *last, |
---|
1139 | int depth) { |
---|
1140 | int *c, *d, *e; |
---|
1141 | int s, v; |
---|
1142 | int rank, lastrank, newrank = -1; |
---|
1143 | |
---|
1144 | v = b - SA - 1; |
---|
1145 | lastrank = -1; |
---|
1146 | for(c = first, d = a - 1; c <= d; ++c) { |
---|
1147 | if((0 <= (s = *c - depth)) && (ISA[s] == v)) { |
---|
1148 | *++d = s; |
---|
1149 | rank = ISA[s + depth]; |
---|
1150 | if(lastrank != rank) { lastrank = rank; newrank = d - SA; } |
---|
1151 | ISA[s] = newrank; |
---|
1152 | } |
---|
1153 | } |
---|
1154 | |
---|
1155 | lastrank = -1; |
---|
1156 | for(e = d; first <= e; --e) { |
---|
1157 | rank = ISA[*e]; |
---|
1158 | if(lastrank != rank) { lastrank = rank; newrank = e - SA; } |
---|
1159 | if(newrank != rank) { ISA[*e] = newrank; } |
---|
1160 | } |
---|
1161 | |
---|
1162 | lastrank = -1; |
---|
1163 | for(c = last - 1, e = d + 1, d = b; e < d; --c) { |
---|
1164 | if((0 <= (s = *c - depth)) && (ISA[s] == v)) { |
---|
1165 | *--d = s; |
---|
1166 | rank = ISA[s + depth]; |
---|
1167 | if(lastrank != rank) { lastrank = rank; newrank = d - SA; } |
---|
1168 | ISA[s] = newrank; |
---|
1169 | } |
---|
1170 | } |
---|
1171 | } |
---|
1172 | |
---|
1173 | static |
---|
1174 | void |
---|
1175 | tr_introsort(int *ISA, const int *ISAd, |
---|
1176 | int *SA, int *first, int *last, |
---|
1177 | trbudget_t *budget) { |
---|
1178 | #define STACK_SIZE TR_STACKSIZE |
---|
1179 | struct { const int *a; int *b, *c; int d, e; }stack[STACK_SIZE]; |
---|
1180 | int *a, *b, *c; |
---|
1181 | int t; |
---|
1182 | int v, x = 0; |
---|
1183 | int incr = ISAd - ISA; |
---|
1184 | int limit, next; |
---|
1185 | int ssize, trlink = -1; |
---|
1186 | |
---|
1187 | for(ssize = 0, limit = tr_ilg(last - first);;) { |
---|
1188 | |
---|
1189 | if(limit < 0) { |
---|
1190 | if(limit == -1) { |
---|
1191 | /* tandem repeat partition */ |
---|
1192 | tr_partition(ISAd - incr, first, first, last, &a, &b, last - SA - 1); |
---|
1193 | |
---|
1194 | /* update ranks */ |
---|
1195 | if(a < last) { |
---|
1196 | for(c = first, v = a - SA - 1; c < a; ++c) { ISA[*c] = v; } |
---|
1197 | } |
---|
1198 | if(b < last) { |
---|
1199 | for(c = a, v = b - SA - 1; c < b; ++c) { ISA[*c] = v; } |
---|
1200 | } |
---|
1201 | |
---|
1202 | /* push */ |
---|
1203 | if(1 < (b - a)) { |
---|
1204 | STACK_PUSH5(NULL, a, b, 0, 0); |
---|
1205 | STACK_PUSH5(ISAd - incr, first, last, -2, trlink); |
---|
1206 | trlink = ssize - 2; |
---|
1207 | } |
---|
1208 | if((a - first) <= (last - b)) { |
---|
1209 | if(1 < (a - first)) { |
---|
1210 | STACK_PUSH5(ISAd, b, last, tr_ilg(last - b), trlink); |
---|
1211 | last = a, limit = tr_ilg(a - first); |
---|
1212 | } else if(1 < (last - b)) { |
---|
1213 | first = b, limit = tr_ilg(last - b); |
---|
1214 | } else { |
---|
1215 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1216 | } |
---|
1217 | } else { |
---|
1218 | if(1 < (last - b)) { |
---|
1219 | STACK_PUSH5(ISAd, first, a, tr_ilg(a - first), trlink); |
---|
1220 | first = b, limit = tr_ilg(last - b); |
---|
1221 | } else if(1 < (a - first)) { |
---|
1222 | last = a, limit = tr_ilg(a - first); |
---|
1223 | } else { |
---|
1224 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1225 | } |
---|
1226 | } |
---|
1227 | } else if(limit == -2) { |
---|
1228 | /* tandem repeat copy */ |
---|
1229 | a = stack[--ssize].b, b = stack[ssize].c; |
---|
1230 | if(stack[ssize].d == 0) { |
---|
1231 | tr_copy(ISA, SA, first, a, b, last, ISAd - ISA); |
---|
1232 | } else { |
---|
1233 | if(0 <= trlink) { stack[trlink].d = -1; } |
---|
1234 | tr_partialcopy(ISA, SA, first, a, b, last, ISAd - ISA); |
---|
1235 | } |
---|
1236 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1237 | } else { |
---|
1238 | /* sorted partition */ |
---|
1239 | if(0 <= *first) { |
---|
1240 | a = first; |
---|
1241 | do { ISA[*a] = a - SA; } while((++a < last) && (0 <= *a)); |
---|
1242 | first = a; |
---|
1243 | } |
---|
1244 | if(first < last) { |
---|
1245 | a = first; do { *a = ~*a; } while(*++a < 0); |
---|
1246 | next = (ISA[*a] != ISAd[*a]) ? tr_ilg(a - first + 1) : -1; |
---|
1247 | if(++a < last) { for(b = first, v = a - SA - 1; b < a; ++b) { ISA[*b] = v; } } |
---|
1248 | |
---|
1249 | /* push */ |
---|
1250 | if(trbudget_check(budget, a - first)) { |
---|
1251 | if((a - first) <= (last - a)) { |
---|
1252 | STACK_PUSH5(ISAd, a, last, -3, trlink); |
---|
1253 | ISAd += incr, last = a, limit = next; |
---|
1254 | } else { |
---|
1255 | if(1 < (last - a)) { |
---|
1256 | STACK_PUSH5(ISAd + incr, first, a, next, trlink); |
---|
1257 | first = a, limit = -3; |
---|
1258 | } else { |
---|
1259 | ISAd += incr, last = a, limit = next; |
---|
1260 | } |
---|
1261 | } |
---|
1262 | } else { |
---|
1263 | if(0 <= trlink) { stack[trlink].d = -1; } |
---|
1264 | if(1 < (last - a)) { |
---|
1265 | first = a, limit = -3; |
---|
1266 | } else { |
---|
1267 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1268 | } |
---|
1269 | } |
---|
1270 | } else { |
---|
1271 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1272 | } |
---|
1273 | } |
---|
1274 | continue; |
---|
1275 | } |
---|
1276 | |
---|
1277 | if((last - first) <= TR_INSERTIONSORT_THRESHOLD) { |
---|
1278 | tr_insertionsort(ISAd, first, last); |
---|
1279 | limit = -3; |
---|
1280 | continue; |
---|
1281 | } |
---|
1282 | |
---|
1283 | if(limit-- == 0) { |
---|
1284 | tr_heapsort(ISAd, first, last - first); |
---|
1285 | for(a = last - 1; first < a; a = b) { |
---|
1286 | for(x = ISAd[*a], b = a - 1; (first <= b) && (ISAd[*b] == x); --b) { *b = ~*b; } |
---|
1287 | } |
---|
1288 | limit = -3; |
---|
1289 | continue; |
---|
1290 | } |
---|
1291 | |
---|
1292 | /* choose pivot */ |
---|
1293 | a = tr_pivot(ISAd, first, last); |
---|
1294 | SWAP(*first, *a); |
---|
1295 | v = ISAd[*first]; |
---|
1296 | |
---|
1297 | /* partition */ |
---|
1298 | tr_partition(ISAd, first, first + 1, last, &a, &b, v); |
---|
1299 | if((last - first) != (b - a)) { |
---|
1300 | next = (ISA[*a] != v) ? tr_ilg(b - a) : -1; |
---|
1301 | |
---|
1302 | /* update ranks */ |
---|
1303 | for(c = first, v = a - SA - 1; c < a; ++c) { ISA[*c] = v; } |
---|
1304 | if(b < last) { for(c = a, v = b - SA - 1; c < b; ++c) { ISA[*c] = v; } } |
---|
1305 | |
---|
1306 | /* push */ |
---|
1307 | if((1 < (b - a)) && (trbudget_check(budget, b - a))) { |
---|
1308 | if((a - first) <= (last - b)) { |
---|
1309 | if((last - b) <= (b - a)) { |
---|
1310 | if(1 < (a - first)) { |
---|
1311 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1312 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1313 | last = a; |
---|
1314 | } else if(1 < (last - b)) { |
---|
1315 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1316 | first = b; |
---|
1317 | } else { |
---|
1318 | ISAd += incr, first = a, last = b, limit = next; |
---|
1319 | } |
---|
1320 | } else if((a - first) <= (b - a)) { |
---|
1321 | if(1 < (a - first)) { |
---|
1322 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1323 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1324 | last = a; |
---|
1325 | } else { |
---|
1326 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1327 | ISAd += incr, first = a, last = b, limit = next; |
---|
1328 | } |
---|
1329 | } else { |
---|
1330 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1331 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1332 | ISAd += incr, first = a, last = b, limit = next; |
---|
1333 | } |
---|
1334 | } else { |
---|
1335 | if((a - first) <= (b - a)) { |
---|
1336 | if(1 < (last - b)) { |
---|
1337 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1338 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1339 | first = b; |
---|
1340 | } else if(1 < (a - first)) { |
---|
1341 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1342 | last = a; |
---|
1343 | } else { |
---|
1344 | ISAd += incr, first = a, last = b, limit = next; |
---|
1345 | } |
---|
1346 | } else if((last - b) <= (b - a)) { |
---|
1347 | if(1 < (last - b)) { |
---|
1348 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1349 | STACK_PUSH5(ISAd + incr, a, b, next, trlink); |
---|
1350 | first = b; |
---|
1351 | } else { |
---|
1352 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1353 | ISAd += incr, first = a, last = b, limit = next; |
---|
1354 | } |
---|
1355 | } else { |
---|
1356 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1357 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1358 | ISAd += incr, first = a, last = b, limit = next; |
---|
1359 | } |
---|
1360 | } |
---|
1361 | } else { |
---|
1362 | if((1 < (b - a)) && (0 <= trlink)) { stack[trlink].d = -1; } |
---|
1363 | if((a - first) <= (last - b)) { |
---|
1364 | if(1 < (a - first)) { |
---|
1365 | STACK_PUSH5(ISAd, b, last, limit, trlink); |
---|
1366 | last = a; |
---|
1367 | } else if(1 < (last - b)) { |
---|
1368 | first = b; |
---|
1369 | } else { |
---|
1370 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1371 | } |
---|
1372 | } else { |
---|
1373 | if(1 < (last - b)) { |
---|
1374 | STACK_PUSH5(ISAd, first, a, limit, trlink); |
---|
1375 | first = b; |
---|
1376 | } else if(1 < (a - first)) { |
---|
1377 | last = a; |
---|
1378 | } else { |
---|
1379 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1380 | } |
---|
1381 | } |
---|
1382 | } |
---|
1383 | } else { |
---|
1384 | if(trbudget_check(budget, last - first)) { |
---|
1385 | limit = tr_ilg(last - first), ISAd += incr; |
---|
1386 | } else { |
---|
1387 | if(0 <= trlink) { stack[trlink].d = -1; } |
---|
1388 | STACK_POP5(ISAd, first, last, limit, trlink); |
---|
1389 | } |
---|
1390 | } |
---|
1391 | } |
---|
1392 | #undef STACK_SIZE |
---|
1393 | } |
---|
1394 | |
---|
1395 | |
---|
1396 | |
---|
1397 | /*---------------------------------------------------------------------------*/ |
---|
1398 | |
---|
1399 | /* Tandem repeat sort */ |
---|
1400 | static |
---|
1401 | void |
---|
1402 | trsort(int *ISA, int *SA, int n, int depth) { |
---|
1403 | int *ISAd; |
---|
1404 | int *first, *last; |
---|
1405 | trbudget_t budget; |
---|
1406 | int t, skip, unsorted; |
---|
1407 | |
---|
1408 | trbudget_init(&budget, tr_ilg(n) * 2 / 3, n); |
---|
1409 | /* trbudget_init(&budget, tr_ilg(n) * 3 / 4, n); */ |
---|
1410 | for(ISAd = ISA + depth; -n < *SA; ISAd += ISAd - ISA) { |
---|
1411 | first = SA; |
---|
1412 | skip = 0; |
---|
1413 | unsorted = 0; |
---|
1414 | do { |
---|
1415 | if((t = *first) < 0) { first -= t; skip += t; } |
---|
1416 | else { |
---|
1417 | if(skip != 0) { *(first + skip) = skip; skip = 0; } |
---|
1418 | last = SA + ISA[t] + 1; |
---|
1419 | if(1 < (last - first)) { |
---|
1420 | budget.count = 0; |
---|
1421 | tr_introsort(ISA, ISAd, SA, first, last, &budget); |
---|
1422 | if(budget.count != 0) { unsorted += budget.count; } |
---|
1423 | else { skip = first - last; } |
---|
1424 | } else if((last - first) == 1) { |
---|
1425 | skip = -1; |
---|
1426 | } |
---|
1427 | first = last; |
---|
1428 | } |
---|
1429 | } while(first < (SA + n)); |
---|
1430 | if(skip != 0) { *(first + skip) = skip; } |
---|
1431 | if(unsorted == 0) { break; } |
---|
1432 | } |
---|
1433 | } |
---|
1434 | |
---|
1435 | |
---|
1436 | /*---------------------------------------------------------------------------*/ |
---|
1437 | |
---|
1438 | /* Sorts suffixes of type B*. */ |
---|
1439 | static |
---|
1440 | int |
---|
1441 | sort_typeBstar(const unsigned char *T, int *SA, |
---|
1442 | int *bucket_A, int *bucket_B, |
---|
1443 | int n, int openMP) { |
---|
1444 | int *PAb, *ISAb, *buf; |
---|
1445 | #ifdef LIBBSC_OPENMP |
---|
1446 | int *curbuf; |
---|
1447 | int l; |
---|
1448 | #endif |
---|
1449 | int i, j, k, t, m, bufsize; |
---|
1450 | int c0, c1; |
---|
1451 | #ifdef LIBBSC_OPENMP |
---|
1452 | int d0, d1; |
---|
1453 | #endif |
---|
1454 | (void)openMP; |
---|
1455 | |
---|
1456 | /* Initialize bucket arrays. */ |
---|
1457 | for(i = 0; i < BUCKET_A_SIZE; ++i) { bucket_A[i] = 0; } |
---|
1458 | for(i = 0; i < BUCKET_B_SIZE; ++i) { bucket_B[i] = 0; } |
---|
1459 | |
---|
1460 | /* Count the number of occurrences of the first one or two characters of each |
---|
1461 | type A, B and B* suffix. Moreover, store the beginning position of all |
---|
1462 | type B* suffixes into the array SA. */ |
---|
1463 | for(i = n - 1, m = n, c0 = T[n - 1]; 0 <= i;) { |
---|
1464 | /* type A suffix. */ |
---|
1465 | do { ++BUCKET_A(c1 = c0); } while((0 <= --i) && ((c0 = T[i]) >= c1)); |
---|
1466 | if(0 <= i) { |
---|
1467 | /* type B* suffix. */ |
---|
1468 | ++BUCKET_BSTAR(c0, c1); |
---|
1469 | SA[--m] = i; |
---|
1470 | /* type B suffix. */ |
---|
1471 | for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) <= c1); --i, c1 = c0) { |
---|
1472 | ++BUCKET_B(c0, c1); |
---|
1473 | } |
---|
1474 | } |
---|
1475 | } |
---|
1476 | m = n - m; |
---|
1477 | /* |
---|
1478 | note: |
---|
1479 | A type B* suffix is lexicographically smaller than a type B suffix that |
---|
1480 | begins with the same first two characters. |
---|
1481 | */ |
---|
1482 | |
---|
1483 | /* Calculate the index of start/end point of each bucket. */ |
---|
1484 | for(c0 = 0, i = 0, j = 0; c0 < ALPHABET_SIZE; ++c0) { |
---|
1485 | t = i + BUCKET_A(c0); |
---|
1486 | BUCKET_A(c0) = i + j; /* start point */ |
---|
1487 | i = t + BUCKET_B(c0, c0); |
---|
1488 | for(c1 = c0 + 1; c1 < ALPHABET_SIZE; ++c1) { |
---|
1489 | j += BUCKET_BSTAR(c0, c1); |
---|
1490 | BUCKET_BSTAR(c0, c1) = j; /* end point */ |
---|
1491 | i += BUCKET_B(c0, c1); |
---|
1492 | } |
---|
1493 | } |
---|
1494 | |
---|
1495 | if(0 < m) { |
---|
1496 | /* Sort the type B* suffixes by their first two characters. */ |
---|
1497 | PAb = SA + n - m; ISAb = SA + m; |
---|
1498 | for(i = m - 2; 0 <= i; --i) { |
---|
1499 | t = PAb[i], c0 = T[t], c1 = T[t + 1]; |
---|
1500 | SA[--BUCKET_BSTAR(c0, c1)] = i; |
---|
1501 | } |
---|
1502 | t = PAb[m - 1], c0 = T[t], c1 = T[t + 1]; |
---|
1503 | SA[--BUCKET_BSTAR(c0, c1)] = m - 1; |
---|
1504 | |
---|
1505 | /* Sort the type B* substrings using sssort. */ |
---|
1506 | #ifdef LIBBSC_OPENMP |
---|
1507 | if (openMP) |
---|
1508 | { |
---|
1509 | buf = SA + m; |
---|
1510 | c0 = ALPHABET_SIZE - 2, c1 = ALPHABET_SIZE - 1, j = m; |
---|
1511 | #pragma omp parallel default(shared) private(bufsize, curbuf, k, l, d0, d1) |
---|
1512 | { |
---|
1513 | bufsize = (n - (2 * m)) / omp_get_num_threads(); |
---|
1514 | curbuf = buf + omp_get_thread_num() * bufsize; |
---|
1515 | k = 0; |
---|
1516 | for(;;) { |
---|
1517 | #pragma omp critical(sssort_lock) |
---|
1518 | { |
---|
1519 | if(0 < (l = j)) { |
---|
1520 | d0 = c0, d1 = c1; |
---|
1521 | do { |
---|
1522 | k = BUCKET_BSTAR(d0, d1); |
---|
1523 | if(--d1 <= d0) { |
---|
1524 | d1 = ALPHABET_SIZE - 1; |
---|
1525 | if(--d0 < 0) { break; } |
---|
1526 | } |
---|
1527 | } while(((l - k) <= 1) && (0 < (l = k))); |
---|
1528 | c0 = d0, c1 = d1, j = k; |
---|
1529 | } |
---|
1530 | } |
---|
1531 | if(l == 0) { break; } |
---|
1532 | sssort(T, PAb, SA + k, SA + l, |
---|
1533 | curbuf, bufsize, 2, n, *(SA + k) == (m - 1)); |
---|
1534 | } |
---|
1535 | } |
---|
1536 | } |
---|
1537 | else |
---|
1538 | { |
---|
1539 | buf = SA + m, bufsize = n - (2 * m); |
---|
1540 | for(c0 = ALPHABET_SIZE - 2, j = m; 0 < j; --c0) { |
---|
1541 | for(c1 = ALPHABET_SIZE - 1; c0 < c1; j = i, --c1) { |
---|
1542 | i = BUCKET_BSTAR(c0, c1); |
---|
1543 | if(1 < (j - i)) { |
---|
1544 | sssort(T, PAb, SA + i, SA + j, |
---|
1545 | buf, bufsize, 2, n, *(SA + i) == (m - 1)); |
---|
1546 | } |
---|
1547 | } |
---|
1548 | } |
---|
1549 | } |
---|
1550 | #else |
---|
1551 | buf = SA + m, bufsize = n - (2 * m); |
---|
1552 | for(c0 = ALPHABET_SIZE - 2, j = m; 0 < j; --c0) { |
---|
1553 | for(c1 = ALPHABET_SIZE - 1; c0 < c1; j = i, --c1) { |
---|
1554 | i = BUCKET_BSTAR(c0, c1); |
---|
1555 | if(1 < (j - i)) { |
---|
1556 | sssort(T, PAb, SA + i, SA + j, |
---|
1557 | buf, bufsize, 2, n, *(SA + i) == (m - 1)); |
---|
1558 | } |
---|
1559 | } |
---|
1560 | } |
---|
1561 | #endif |
---|
1562 | |
---|
1563 | /* Compute ranks of type B* substrings. */ |
---|
1564 | for(i = m - 1; 0 <= i; --i) { |
---|
1565 | if(0 <= SA[i]) { |
---|
1566 | j = i; |
---|
1567 | do { ISAb[SA[i]] = i; } while((0 <= --i) && (0 <= SA[i])); |
---|
1568 | SA[i + 1] = i - j; |
---|
1569 | if(i <= 0) { break; } |
---|
1570 | } |
---|
1571 | j = i; |
---|
1572 | do { ISAb[SA[i] = ~SA[i]] = j; } while(SA[--i] < 0); |
---|
1573 | ISAb[SA[i]] = j; |
---|
1574 | } |
---|
1575 | |
---|
1576 | /* Construct the inverse suffix array of type B* suffixes using trsort. */ |
---|
1577 | trsort(ISAb, SA, m, 1); |
---|
1578 | |
---|
1579 | /* Set the sorted order of tyoe B* suffixes. */ |
---|
1580 | for(i = n - 1, j = m, c0 = T[n - 1]; 0 <= i;) { |
---|
1581 | for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) >= c1); --i, c1 = c0) { } |
---|
1582 | if(0 <= i) { |
---|
1583 | t = i; |
---|
1584 | for(--i, c1 = c0; (0 <= i) && ((c0 = T[i]) <= c1); --i, c1 = c0) { } |
---|
1585 | SA[ISAb[--j]] = ((t == 0) || (1 < (t - i))) ? t : ~t; |
---|
1586 | } |
---|
1587 | } |
---|
1588 | |
---|
1589 | /* Calculate the index of start/end point of each bucket. */ |
---|
1590 | BUCKET_B(ALPHABET_SIZE - 1, ALPHABET_SIZE - 1) = n; /* end point */ |
---|
1591 | for(c0 = ALPHABET_SIZE - 2, k = m - 1; 0 <= c0; --c0) { |
---|
1592 | i = BUCKET_A(c0 + 1) - 1; |
---|
1593 | for(c1 = ALPHABET_SIZE - 1; c0 < c1; --c1) { |
---|
1594 | t = i - BUCKET_B(c0, c1); |
---|
1595 | BUCKET_B(c0, c1) = i; /* end point */ |
---|
1596 | |
---|
1597 | /* Move all type B* suffixes to the correct position. */ |
---|
1598 | for(i = t, j = BUCKET_BSTAR(c0, c1); |
---|
1599 | j <= k; |
---|
1600 | --i, --k) { SA[i] = SA[k]; } |
---|
1601 | } |
---|
1602 | BUCKET_BSTAR(c0, c0 + 1) = i - BUCKET_B(c0, c0) + 1; /* start point */ |
---|
1603 | BUCKET_B(c0, c0) = i; /* end point */ |
---|
1604 | } |
---|
1605 | } |
---|
1606 | |
---|
1607 | return m; |
---|
1608 | } |
---|
1609 | |
---|
1610 | /* Constructs the suffix array by using the sorted order of type B* suffixes. */ |
---|
1611 | static |
---|
1612 | void |
---|
1613 | construct_SA(const unsigned char *T, int *SA, |
---|
1614 | int *bucket_A, int *bucket_B, |
---|
1615 | int n, int m) { |
---|
1616 | int *i, *j, *k; |
---|
1617 | int s; |
---|
1618 | int c0, c1, c2; |
---|
1619 | |
---|
1620 | if(0 < m) { |
---|
1621 | /* Construct the sorted order of type B suffixes by using |
---|
1622 | the sorted order of type B* suffixes. */ |
---|
1623 | for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) { |
---|
1624 | /* Scan the suffix array from right to left. */ |
---|
1625 | for(i = SA + BUCKET_BSTAR(c1, c1 + 1), |
---|
1626 | j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1; |
---|
1627 | i <= j; |
---|
1628 | --j) { |
---|
1629 | if(0 < (s = *j)) { |
---|
1630 | assert(T[s] == c1); |
---|
1631 | assert(((s + 1) < n) && (T[s] <= T[s + 1])); |
---|
1632 | assert(T[s - 1] <= T[s]); |
---|
1633 | *j = ~s; |
---|
1634 | c0 = T[--s]; |
---|
1635 | if((0 < s) && (T[s - 1] > c0)) { s = ~s; } |
---|
1636 | if(c0 != c2) { |
---|
1637 | if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; } |
---|
1638 | k = SA + BUCKET_B(c2 = c0, c1); |
---|
1639 | } |
---|
1640 | assert(k < j); |
---|
1641 | *k-- = s; |
---|
1642 | } else { |
---|
1643 | assert(((s == 0) && (T[s] == c1)) || (s < 0)); |
---|
1644 | *j = ~s; |
---|
1645 | } |
---|
1646 | } |
---|
1647 | } |
---|
1648 | } |
---|
1649 | |
---|
1650 | /* Construct the suffix array by using |
---|
1651 | the sorted order of type B suffixes. */ |
---|
1652 | k = SA + BUCKET_A(c2 = T[n - 1]); |
---|
1653 | *k++ = (T[n - 2] < c2) ? ~(n - 1) : (n - 1); |
---|
1654 | /* Scan the suffix array from left to right. */ |
---|
1655 | for(i = SA, j = SA + n; i < j; ++i) { |
---|
1656 | if(0 < (s = *i)) { |
---|
1657 | assert(T[s - 1] >= T[s]); |
---|
1658 | c0 = T[--s]; |
---|
1659 | if((s == 0) || (T[s - 1] < c0)) { s = ~s; } |
---|
1660 | if(c0 != c2) { |
---|
1661 | BUCKET_A(c2) = k - SA; |
---|
1662 | k = SA + BUCKET_A(c2 = c0); |
---|
1663 | } |
---|
1664 | assert(i < k); |
---|
1665 | *k++ = s; |
---|
1666 | } else { |
---|
1667 | assert(s < 0); |
---|
1668 | *i = ~s; |
---|
1669 | } |
---|
1670 | } |
---|
1671 | } |
---|
1672 | |
---|
1673 | /* Constructs the burrows-wheeler transformed string directly |
---|
1674 | by using the sorted order of type B* suffixes. */ |
---|
1675 | static |
---|
1676 | int |
---|
1677 | construct_BWT(const unsigned char *T, int *SA, |
---|
1678 | int *bucket_A, int *bucket_B, |
---|
1679 | int n, int m) { |
---|
1680 | int *i, *j, *k, *orig; |
---|
1681 | int s; |
---|
1682 | int c0, c1, c2; |
---|
1683 | |
---|
1684 | if(0 < m) { |
---|
1685 | /* Construct the sorted order of type B suffixes by using |
---|
1686 | the sorted order of type B* suffixes. */ |
---|
1687 | for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) { |
---|
1688 | /* Scan the suffix array from right to left. */ |
---|
1689 | for(i = SA + BUCKET_BSTAR(c1, c1 + 1), |
---|
1690 | j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1; |
---|
1691 | i <= j; |
---|
1692 | --j) { |
---|
1693 | if(0 < (s = *j)) { |
---|
1694 | assert(T[s] == c1); |
---|
1695 | assert(((s + 1) < n) && (T[s] <= T[s + 1])); |
---|
1696 | assert(T[s - 1] <= T[s]); |
---|
1697 | c0 = T[--s]; |
---|
1698 | *j = ~((int)c0); |
---|
1699 | if((0 < s) && (T[s - 1] > c0)) { s = ~s; } |
---|
1700 | if(c0 != c2) { |
---|
1701 | if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; } |
---|
1702 | k = SA + BUCKET_B(c2 = c0, c1); |
---|
1703 | } |
---|
1704 | assert(k < j); |
---|
1705 | *k-- = s; |
---|
1706 | } else if(s != 0) { |
---|
1707 | *j = ~s; |
---|
1708 | #ifndef NDEBUG |
---|
1709 | } else { |
---|
1710 | assert(T[s] == c1); |
---|
1711 | #endif |
---|
1712 | } |
---|
1713 | } |
---|
1714 | } |
---|
1715 | } |
---|
1716 | |
---|
1717 | /* Construct the BWTed string by using |
---|
1718 | the sorted order of type B suffixes. */ |
---|
1719 | k = SA + BUCKET_A(c2 = T[n - 1]); |
---|
1720 | *k++ = (T[n - 2] < c2) ? ~((int)T[n - 2]) : (n - 1); |
---|
1721 | /* Scan the suffix array from left to right. */ |
---|
1722 | for(i = SA, j = SA + n, orig = SA; i < j; ++i) { |
---|
1723 | if(0 < (s = *i)) { |
---|
1724 | assert(T[s - 1] >= T[s]); |
---|
1725 | c0 = T[--s]; |
---|
1726 | *i = c0; |
---|
1727 | if((0 < s) && (T[s - 1] < c0)) { s = ~((int)T[s - 1]); } |
---|
1728 | if(c0 != c2) { |
---|
1729 | BUCKET_A(c2) = k - SA; |
---|
1730 | k = SA + BUCKET_A(c2 = c0); |
---|
1731 | } |
---|
1732 | assert(i < k); |
---|
1733 | *k++ = s; |
---|
1734 | } else if(s != 0) { |
---|
1735 | *i = ~s; |
---|
1736 | } else { |
---|
1737 | orig = i; |
---|
1738 | } |
---|
1739 | } |
---|
1740 | |
---|
1741 | return orig - SA; |
---|
1742 | } |
---|
1743 | |
---|
1744 | /* Constructs the burrows-wheeler transformed string directly |
---|
1745 | by using the sorted order of type B* suffixes. */ |
---|
1746 | static |
---|
1747 | int |
---|
1748 | construct_BWT_indexes(const unsigned char *T, int *SA, |
---|
1749 | int *bucket_A, int *bucket_B, |
---|
1750 | int n, int m, |
---|
1751 | unsigned char * num_indexes, int * indexes) { |
---|
1752 | int *i, *j, *k, *orig; |
---|
1753 | int s; |
---|
1754 | int c0, c1, c2; |
---|
1755 | |
---|
1756 | int mod = n / 8; |
---|
1757 | { |
---|
1758 | mod |= mod >> 1; mod |= mod >> 2; |
---|
1759 | mod |= mod >> 4; mod |= mod >> 8; |
---|
1760 | mod |= mod >> 16; mod >>= 1; |
---|
1761 | |
---|
1762 | *num_indexes = (unsigned char)((n - 1) / (mod + 1)); |
---|
1763 | } |
---|
1764 | |
---|
1765 | if(0 < m) { |
---|
1766 | /* Construct the sorted order of type B suffixes by using |
---|
1767 | the sorted order of type B* suffixes. */ |
---|
1768 | for(c1 = ALPHABET_SIZE - 2; 0 <= c1; --c1) { |
---|
1769 | /* Scan the suffix array from right to left. */ |
---|
1770 | for(i = SA + BUCKET_BSTAR(c1, c1 + 1), |
---|
1771 | j = SA + BUCKET_A(c1 + 1) - 1, k = NULL, c2 = -1; |
---|
1772 | i <= j; |
---|
1773 | --j) { |
---|
1774 | if(0 < (s = *j)) { |
---|
1775 | assert(T[s] == c1); |
---|
1776 | assert(((s + 1) < n) && (T[s] <= T[s + 1])); |
---|
1777 | assert(T[s - 1] <= T[s]); |
---|
1778 | |
---|
1779 | if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = j - SA; |
---|
1780 | |
---|
1781 | c0 = T[--s]; |
---|
1782 | *j = ~((int)c0); |
---|
1783 | if((0 < s) && (T[s - 1] > c0)) { s = ~s; } |
---|
1784 | if(c0 != c2) { |
---|
1785 | if(0 <= c2) { BUCKET_B(c2, c1) = k - SA; } |
---|
1786 | k = SA + BUCKET_B(c2 = c0, c1); |
---|
1787 | } |
---|
1788 | assert(k < j); |
---|
1789 | *k-- = s; |
---|
1790 | } else if(s != 0) { |
---|
1791 | *j = ~s; |
---|
1792 | #ifndef NDEBUG |
---|
1793 | } else { |
---|
1794 | assert(T[s] == c1); |
---|
1795 | #endif |
---|
1796 | } |
---|
1797 | } |
---|
1798 | } |
---|
1799 | } |
---|
1800 | |
---|
1801 | /* Construct the BWTed string by using |
---|
1802 | the sorted order of type B suffixes. */ |
---|
1803 | k = SA + BUCKET_A(c2 = T[n - 1]); |
---|
1804 | if (T[n - 2] < c2) { |
---|
1805 | if (((n - 1) & mod) == 0) indexes[(n - 1) / (mod + 1) - 1] = k - SA; |
---|
1806 | *k++ = ~((int)T[n - 2]); |
---|
1807 | } |
---|
1808 | else { |
---|
1809 | *k++ = n - 1; |
---|
1810 | } |
---|
1811 | |
---|
1812 | /* Scan the suffix array from left to right. */ |
---|
1813 | for(i = SA, j = SA + n, orig = SA; i < j; ++i) { |
---|
1814 | if(0 < (s = *i)) { |
---|
1815 | assert(T[s - 1] >= T[s]); |
---|
1816 | |
---|
1817 | if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = i - SA; |
---|
1818 | |
---|
1819 | c0 = T[--s]; |
---|
1820 | *i = c0; |
---|
1821 | if(c0 != c2) { |
---|
1822 | BUCKET_A(c2) = k - SA; |
---|
1823 | k = SA + BUCKET_A(c2 = c0); |
---|
1824 | } |
---|
1825 | assert(i < k); |
---|
1826 | if((0 < s) && (T[s - 1] < c0)) { |
---|
1827 | if ((s & mod) == 0) indexes[s / (mod + 1) - 1] = k - SA; |
---|
1828 | *k++ = ~((int)T[s - 1]); |
---|
1829 | } else |
---|
1830 | *k++ = s; |
---|
1831 | } else if(s != 0) { |
---|
1832 | *i = ~s; |
---|
1833 | } else { |
---|
1834 | orig = i; |
---|
1835 | } |
---|
1836 | } |
---|
1837 | |
---|
1838 | return orig - SA; |
---|
1839 | } |
---|
1840 | |
---|
1841 | |
---|
1842 | /*---------------------------------------------------------------------------*/ |
---|
1843 | |
---|
1844 | /*- Function -*/ |
---|
1845 | |
---|
1846 | int |
---|
1847 | divsufsort(const unsigned char *T, int *SA, int n, int openMP) { |
---|
1848 | int *bucket_A, *bucket_B; |
---|
1849 | int m; |
---|
1850 | int err = 0; |
---|
1851 | |
---|
1852 | /* Check arguments. */ |
---|
1853 | if((T == NULL) || (SA == NULL) || (n < 0)) { return -1; } |
---|
1854 | else if(n == 0) { return 0; } |
---|
1855 | else if(n == 1) { SA[0] = 0; return 0; } |
---|
1856 | else if(n == 2) { m = (T[0] < T[1]); SA[m ^ 1] = 0, SA[m] = 1; return 0; } |
---|
1857 | |
---|
1858 | bucket_A = (int *)malloc(BUCKET_A_SIZE * sizeof(int)); |
---|
1859 | bucket_B = (int *)malloc(BUCKET_B_SIZE * sizeof(int)); |
---|
1860 | |
---|
1861 | /* Suffixsort. */ |
---|
1862 | if((bucket_A != NULL) && (bucket_B != NULL)) { |
---|
1863 | m = sort_typeBstar(T, SA, bucket_A, bucket_B, n, openMP); |
---|
1864 | construct_SA(T, SA, bucket_A, bucket_B, n, m); |
---|
1865 | } else { |
---|
1866 | err = -2; |
---|
1867 | } |
---|
1868 | |
---|
1869 | free(bucket_B); |
---|
1870 | free(bucket_A); |
---|
1871 | |
---|
1872 | return err; |
---|
1873 | } |
---|
1874 | |
---|
1875 | int |
---|
1876 | divbwt(const unsigned char *T, unsigned char *U, int *A, int n, unsigned char * num_indexes, int * indexes, int openMP) { |
---|
1877 | int *B; |
---|
1878 | int *bucket_A, *bucket_B; |
---|
1879 | int m, pidx, i; |
---|
1880 | |
---|
1881 | /* Check arguments. */ |
---|
1882 | if((T == NULL) || (U == NULL) || (n < 0)) { return -1; } |
---|
1883 | else if(n <= 1) { if(n == 1) { U[0] = T[0]; } return n; } |
---|
1884 | |
---|
1885 | if((B = A) == NULL) { B = (int *)malloc((size_t)(n + 1) * sizeof(int)); } |
---|
1886 | bucket_A = (int *)malloc(BUCKET_A_SIZE * sizeof(int)); |
---|
1887 | bucket_B = (int *)malloc(BUCKET_B_SIZE * sizeof(int)); |
---|
1888 | |
---|
1889 | /* Burrows-Wheeler Transform. */ |
---|
1890 | if((B != NULL) && (bucket_A != NULL) && (bucket_B != NULL)) { |
---|
1891 | m = sort_typeBstar(T, B, bucket_A, bucket_B, n, openMP); |
---|
1892 | |
---|
1893 | if (num_indexes == NULL || indexes == NULL) { |
---|
1894 | pidx = construct_BWT(T, B, bucket_A, bucket_B, n, m); |
---|
1895 | } else { |
---|
1896 | pidx = construct_BWT_indexes(T, B, bucket_A, bucket_B, n, m, num_indexes, indexes); |
---|
1897 | } |
---|
1898 | |
---|
1899 | /* Copy to output string. */ |
---|
1900 | U[0] = T[n - 1]; |
---|
1901 | for(i = 0; i < pidx; ++i) { U[i + 1] = (unsigned char)B[i]; } |
---|
1902 | for(i += 1; i < n; ++i) { U[i] = (unsigned char)B[i]; } |
---|
1903 | pidx += 1; |
---|
1904 | } else { |
---|
1905 | pidx = -2; |
---|
1906 | } |
---|
1907 | |
---|
1908 | free(bucket_B); |
---|
1909 | free(bucket_A); |
---|
1910 | if(A == NULL) { free(B); } |
---|
1911 | |
---|
1912 | return pidx; |
---|
1913 | } |
---|