1
109
73
9
3
62
23
25
10
1
1
12
2
87
3
3
26
29
13
12
42
33
28
6
2
2
226
104
1
1
6
16
92
23
Changeset was too big and was cut off... Show full diff
1 |
SET(COIN_ROOT_DIR "" CACHE PATH "COIN root directory") |
|
2 |
|
|
3 |
FIND_PATH(COIN_INCLUDE_DIR coin/CoinUtilsConfig.h |
|
4 |
HINTS ${COIN_ROOT_DIR}/include |
|
5 |
) |
|
6 |
FIND_LIBRARY(COIN_CBC_LIBRARY |
|
7 |
NAMES Cbc libCbc |
|
8 |
HINTS ${COIN_ROOT_DIR}/lib |
|
9 |
) |
|
10 |
FIND_LIBRARY(COIN_CBC_SOLVER_LIBRARY |
|
11 |
NAMES CbcSolver libCbcSolver |
|
12 |
HINTS ${COIN_ROOT_DIR}/lib |
|
13 |
) |
|
14 |
FIND_LIBRARY(COIN_CGL_LIBRARY |
|
15 |
NAMES Cgl libCgl |
|
16 |
HINTS ${COIN_ROOT_DIR}/lib |
|
17 |
) |
|
18 |
FIND_LIBRARY(COIN_CLP_LIBRARY |
|
19 |
NAMES Clp libClp |
|
20 |
HINTS ${COIN_ROOT_DIR}/lib |
|
21 |
) |
|
22 |
FIND_LIBRARY(COIN_COIN_UTILS_LIBRARY |
|
23 |
NAMES CoinUtils libCoinUtils |
|
24 |
HINTS ${COIN_ROOT_DIR}/lib |
|
25 |
) |
|
26 |
FIND_LIBRARY(COIN_OSI_LIBRARY |
|
27 |
NAMES Osi libOsi |
|
28 |
HINTS ${COIN_ROOT_DIR}/lib |
|
29 |
) |
|
30 |
FIND_LIBRARY(COIN_OSI_CBC_LIBRARY |
|
31 |
NAMES OsiCbc libOsiCbc |
|
32 |
HINTS ${COIN_ROOT_DIR}/lib |
|
33 |
) |
|
34 |
FIND_LIBRARY(COIN_OSI_CLP_LIBRARY |
|
35 |
NAMES OsiClp libOsiClp |
|
36 |
HINTS ${COIN_ROOT_DIR}/lib |
|
37 |
) |
|
38 |
FIND_LIBRARY(COIN_OSI_VOL_LIBRARY |
|
39 |
NAMES OsiVol libOsiVol |
|
40 |
HINTS ${COIN_ROOT_DIR}/lib |
|
41 |
) |
|
42 |
FIND_LIBRARY(COIN_VOL_LIBRARY |
|
43 |
NAMES Vol libVol |
|
44 |
HINTS ${COIN_ROOT_DIR}/lib |
|
45 |
) |
|
46 |
|
|
47 |
INCLUDE(FindPackageHandleStandardArgs) |
|
48 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(COIN DEFAULT_MSG |
|
49 |
COIN_INCLUDE_DIR |
|
50 |
COIN_CBC_LIBRARY |
|
51 |
COIN_CBC_SOLVER_LIBRARY |
|
52 |
COIN_CGL_LIBRARY |
|
53 |
COIN_CLP_LIBRARY |
|
54 |
COIN_COIN_UTILS_LIBRARY |
|
55 |
COIN_OSI_LIBRARY |
|
56 |
COIN_OSI_CBC_LIBRARY |
|
57 |
COIN_OSI_CLP_LIBRARY |
|
58 |
COIN_OSI_VOL_LIBRARY |
|
59 |
COIN_VOL_LIBRARY |
|
60 |
) |
|
61 |
|
|
62 |
IF(COIN_FOUND) |
|
63 |
SET(COIN_INCLUDE_DIRS ${COIN_INCLUDE_DIR}) |
|
64 |
SET(COIN_LIBRARIES "${COIN_CBC_LIBRARY};${COIN_CBC_SOLVER_LIBRARY};${COIN_CGL_LIBRARY};${COIN_CLP_LIBRARY};${COIN_COIN_UTILS_LIBRARY};${COIN_OSI_LIBRARY};${COIN_OSI_CBC_LIBRARY};${COIN_OSI_CLP_LIBRARY};${COIN_OSI_VOL_LIBRARY};${COIN_VOL_LIBRARY}") |
|
65 |
SET(COIN_CLP_LIBRARIES "${COIN_CLP_LIBRARY};${COIN_COIN_UTILS_LIBRARY}") |
|
66 |
SET(COIN_CBC_LIBRARIES ${COIN_LIBRARIES}) |
|
67 |
ENDIF(COIN_FOUND) |
|
68 |
|
|
69 |
MARK_AS_ADVANCED( |
|
70 |
COIN_INCLUDE_DIR |
|
71 |
COIN_CBC_LIBRARY |
|
72 |
COIN_CBC_SOLVER_LIBRARY |
|
73 |
COIN_CGL_LIBRARY |
|
74 |
COIN_CLP_LIBRARY |
|
75 |
COIN_COIN_UTILS_LIBRARY |
|
76 |
COIN_OSI_LIBRARY |
|
77 |
COIN_OSI_CBC_LIBRARY |
|
78 |
COIN_OSI_CLP_LIBRARY |
|
79 |
COIN_OSI_VOL_LIBRARY |
|
80 |
COIN_VOL_LIBRARY |
|
81 |
) |
|
82 |
|
|
83 |
IF(COIN_FOUND) |
|
84 |
SET(LEMON_HAVE_LP TRUE) |
|
85 |
SET(LEMON_HAVE_MIP TRUE) |
|
86 |
SET(LEMON_HAVE_CLP TRUE) |
|
87 |
SET(LEMON_HAVE_CBC TRUE) |
|
88 |
ENDIF(COIN_FOUND) |
1 |
SET(CPLEX_ROOT_DIR "" CACHE PATH "CPLEX root directory") |
|
2 |
|
|
3 |
FIND_PATH(CPLEX_INCLUDE_DIR |
|
4 |
ilcplex/cplex.h |
|
5 |
PATHS "C:/ILOG/CPLEX91/include" |
|
6 |
PATHS "/opt/ilog/cplex91/include" |
|
7 |
HINTS ${CPLEX_ROOT_DIR}/include |
|
8 |
) |
|
9 |
FIND_LIBRARY(CPLEX_LIBRARY |
|
10 |
cplex91 |
|
11 |
PATHS "C:/ILOG/CPLEX91/lib/msvc7/stat_mda" |
|
12 |
PATHS "/opt/ilog/cplex91/bin" |
|
13 |
HINTS ${CPLEX_ROOT_DIR}/bin |
|
14 |
) |
|
15 |
|
|
16 |
INCLUDE(FindPackageHandleStandardArgs) |
|
17 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(CPLEX DEFAULT_MSG CPLEX_LIBRARY CPLEX_INCLUDE_DIR) |
|
18 |
|
|
19 |
FIND_PATH(CPLEX_BIN_DIR |
|
20 |
cplex91.dll |
|
21 |
PATHS "C:/ILOG/CPLEX91/bin/x86_win32" |
|
22 |
) |
|
23 |
|
|
24 |
IF(CPLEX_FOUND) |
|
25 |
SET(CPLEX_INCLUDE_DIRS ${CPLEX_INCLUDE_DIR}) |
|
26 |
SET(CPLEX_LIBRARIES ${CPLEX_LIBRARY}) |
|
27 |
IF(CMAKE_SYSTEM_NAME STREQUAL "Linux") |
|
28 |
SET(CPLEX_LIBRARIES "${CPLEX_LIBRARIES};m;pthread") |
|
29 |
ENDIF(CMAKE_SYSTEM_NAME STREQUAL "Linux") |
|
30 |
ENDIF(CPLEX_FOUND) |
|
31 |
|
|
32 |
MARK_AS_ADVANCED(CPLEX_LIBRARY CPLEX_INCLUDE_DIR CPLEX_BIN_DIR) |
|
33 |
|
|
34 |
IF(CPLEX_FOUND) |
|
35 |
SET(LEMON_HAVE_LP TRUE) |
|
36 |
SET(LEMON_HAVE_MIP TRUE) |
|
37 |
SET(LEMON_HAVE_CPLEX TRUE) |
|
38 |
ENDIF(CPLEX_FOUND) |
1 |
SET(GLPK_ROOT_DIR "" CACHE PATH "GLPK root directory") |
|
2 |
|
|
3 |
SET(GLPK_REGKEY "[HKEY_LOCAL_MACHINE\\SOFTWARE\\GnuWin32\\Glpk;InstallPath]") |
|
4 |
GET_FILENAME_COMPONENT(GLPK_ROOT_PATH ${GLPK_REGKEY} ABSOLUTE) |
|
5 |
|
|
6 |
FIND_PATH(GLPK_INCLUDE_DIR |
|
7 |
glpk.h |
|
8 |
PATHS ${GLPK_REGKEY}/include |
|
9 |
HINTS ${GLPK_ROOT_DIR}/include |
|
10 |
) |
|
11 |
FIND_LIBRARY(GLPK_LIBRARY |
|
12 |
glpk |
|
13 |
PATHS ${GLPK_REGKEY}/lib |
|
14 |
HINTS ${GLPK_ROOT_DIR}/lib |
|
15 |
) |
|
16 |
|
|
17 |
IF(GLPK_INCLUDE_DIR AND GLPK_LIBRARY) |
|
18 |
FILE(READ ${GLPK_INCLUDE_DIR}/glpk.h GLPK_GLPK_H) |
|
19 |
|
|
20 |
STRING(REGEX MATCH "define[ ]+GLP_MAJOR_VERSION[ ]+[0-9]+" GLPK_MAJOR_VERSION_LINE "${GLPK_GLPK_H}") |
|
21 |
STRING(REGEX REPLACE "define[ ]+GLP_MAJOR_VERSION[ ]+([0-9]+)" "\\1" GLPK_VERSION_MAJOR "${GLPK_MAJOR_VERSION_LINE}") |
|
22 |
|
|
23 |
STRING(REGEX MATCH "define[ ]+GLP_MINOR_VERSION[ ]+[0-9]+" GLPK_MINOR_VERSION_LINE "${GLPK_GLPK_H}") |
|
24 |
STRING(REGEX REPLACE "define[ ]+GLP_MINOR_VERSION[ ]+([0-9]+)" "\\1" GLPK_VERSION_MINOR "${GLPK_MINOR_VERSION_LINE}") |
|
25 |
|
|
26 |
SET(GLPK_VERSION_STRING "${GLPK_VERSION_MAJOR}.${GLPK_VERSION_MINOR}") |
|
27 |
|
|
28 |
IF(GLPK_FIND_VERSION) |
|
29 |
IF(GLPK_FIND_VERSION_COUNT GREATER 2) |
|
30 |
MESSAGE(SEND_ERROR "unexpected version string") |
|
31 |
ENDIF(GLPK_FIND_VERSION_COUNT GREATER 2) |
|
32 |
|
|
33 |
MATH(EXPR GLPK_REQUESTED_VERSION "${GLPK_FIND_VERSION_MAJOR}*100 + ${GLPK_FIND_VERSION_MINOR}") |
|
34 |
MATH(EXPR GLPK_FOUND_VERSION "${GLPK_VERSION_MAJOR}*100 + ${GLPK_VERSION_MINOR}") |
|
35 |
|
|
36 |
IF(GLPK_FOUND_VERSION LESS GLPK_REQUESTED_VERSION) |
|
37 |
SET(GLPK_PROPER_VERSION_FOUND FALSE) |
|
38 |
ELSE(GLPK_FOUND_VERSION LESS GLPK_REQUESTED_VERSION) |
|
39 |
SET(GLPK_PROPER_VERSION_FOUND TRUE) |
|
40 |
ENDIF(GLPK_FOUND_VERSION LESS GLPK_REQUESTED_VERSION) |
|
41 |
ELSE(GLPK_FIND_VERSION) |
|
42 |
SET(GLPK_PROPER_VERSION_FOUND TRUE) |
|
43 |
ENDIF(GLPK_FIND_VERSION) |
|
44 |
ENDIF(GLPK_INCLUDE_DIR AND GLPK_LIBRARY) |
|
45 |
|
|
46 |
INCLUDE(FindPackageHandleStandardArgs) |
|
47 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(GLPK DEFAULT_MSG GLPK_LIBRARY GLPK_INCLUDE_DIR GLPK_PROPER_VERSION_FOUND) |
|
48 |
|
|
49 |
IF(GLPK_FOUND) |
|
50 |
SET(GLPK_INCLUDE_DIRS ${GLPK_INCLUDE_DIR}) |
|
51 |
SET(GLPK_LIBRARIES ${GLPK_LIBRARY}) |
|
52 |
SET(GLPK_BIN_DIR ${GLPK_ROOT_PATH}/bin) |
|
53 |
ENDIF(GLPK_FOUND) |
|
54 |
|
|
55 |
MARK_AS_ADVANCED(GLPK_LIBRARY GLPK_INCLUDE_DIR GLPK_BIN_DIR) |
|
56 |
|
|
57 |
IF(GLPK_FOUND) |
|
58 |
SET(LEMON_HAVE_LP TRUE) |
|
59 |
SET(LEMON_HAVE_MIP TRUE) |
|
60 |
SET(LEMON_HAVE_GLPK TRUE) |
|
61 |
ENDIF(GLPK_FOUND) |
1 |
SET(LEMON_INCLUDE_DIR "@CMAKE_INSTALL_PREFIX@/include" CACHE PATH "LEMON include directory") |
|
2 |
SET(LEMON_INCLUDE_DIRS "${LEMON_INCLUDE_DIR}") |
|
3 |
|
|
4 |
IF(UNIX) |
|
5 |
SET(LEMON_LIB_NAME "libemon.a") |
|
6 |
ELSEIF(WIN32) |
|
7 |
SET(LEMON_LIB_NAME "lemon.lib") |
|
8 |
ENDIF(UNIX) |
|
9 |
|
|
10 |
SET(LEMON_LIBRARY "@CMAKE_INSTALL_PREFIX@/lib/${LEMON_LIB_NAME}" CACHE FILEPATH "LEMON library") |
|
11 |
SET(LEMON_LIBRARIES "${LEMON_LIBRARY}") |
|
12 |
|
|
13 |
MARK_AS_ADVANCED(LEMON_LIBRARY LEMON_INCLUDE_DIR) |
1 |
%!PS-Adobe-3.0 EPSF-3.0 |
|
2 |
%%BoundingBox: 15 18 829 570 |
|
3 |
%%HiResBoundingBox: 15.1913 18.4493 828.078 569.438 |
|
4 |
%%Creator: Karbon14 EPS Exportfilter 0.5 |
|
5 |
%%CreationDate: (04/15/06 15:20:26) |
|
6 |
%%For: (Balazs Dezso) () |
|
7 |
%%Title: () |
|
8 |
|
|
9 |
/N {newpath} def |
|
10 |
/C {closepath} def |
|
11 |
/m {moveto} def |
|
12 |
/c {curveto} def |
|
13 |
/l {lineto} def |
|
14 |
/s {stroke} def |
|
15 |
/f {fill} def |
|
16 |
/w {setlinewidth} def |
|
17 |
/d {setdash} def |
|
18 |
/r {setrgbcolor} def |
|
19 |
/S {gsave} def |
|
20 |
/R {grestore} def |
|
21 |
|
|
22 |
N |
|
23 |
251.402 32.047 m |
|
24 |
532.945 293.946 814.484 555.844 814.484 555.844 c |
|
25 |
[] 0 d 1 0 0 r 3.92814 w s |
|
26 |
|
|
27 |
N |
|
28 |
749.012 32.047 m |
|
29 |
742.465 293.946 735.918 555.844 735.918 555.844 c |
|
30 |
[] 0 d 0 0 0 r 1.96407 w s |
|
31 |
|
|
32 |
N |
|
33 |
539.492 32.047 m |
|
34 |
637.703 293.946 735.918 555.844 735.918 555.844 c |
|
35 |
[] 0 d 0 0 0 r 1.96407 w s |
|
36 |
|
|
37 |
N |
|
38 |
172.832 32.047 m |
|
39 |
454.375 293.946 735.918 555.844 735.918 555.844 c |
|
40 |
[] 0 d 0 0 0 r 1.96407 w s |
|
41 |
|
|
42 |
N |
|
43 |
107.355 32.047 m |
|
44 |
421.637 293.946 735.918 555.844 735.918 555.844 c |
|
45 |
[] 0 d 1 0 0 r 3.92814 w s |
|
46 |
|
|
47 |
N |
|
48 |
644.25 555.844 m |
|
49 |
696.633 293.946 749.012 32.047 749.012 32.047 c |
|
50 |
[] 0 d 0 0 0 r 1.96407 w s |
|
51 |
|
|
52 |
N |
|
53 |
474.016 555.844 m |
|
54 |
611.516 293.946 749.012 32.047 749.012 32.047 c |
|
55 |
[] 0 d 1 0 0 r 3.92814 w s |
|
56 |
|
|
57 |
N |
|
58 |
683.535 32.047 m |
|
59 |
663.894 293.946 644.25 555.844 644.25 555.844 c |
|
60 |
[] 0 d 0 0 0 r 1.96407 w s |
|
61 |
|
|
62 |
N |
|
63 |
120.453 555.844 m |
|
64 |
401.992 293.946 683.535 32.047 683.535 32.047 c |
|
65 |
[] 0 d 0 0 0 r 1.96407 w s |
|
66 |
|
|
67 |
N |
|
68 |
28.7853 555.844 m |
|
69 |
356.16 293.946 683.535 32.047 683.535 32.047 c |
|
70 |
[] 0 d 1 0 0 r 3.92814 w s |
|
71 |
|
|
72 |
N |
|
73 |
539.492 32.047 m |
|
74 |
546.039 293.946 552.586 555.844 552.586 555.844 c |
|
75 |
[] 0 d 1 0 0 r 3.92814 w s |
|
76 |
|
|
77 |
N |
|
78 |
316.875 32.047 m |
|
79 |
349.613 293.946 382.351 555.844 382.351 555.844 c |
|
80 |
[] 0 d 1 0 0 r 3.92814 w s |
|
81 |
|
|
82 |
N |
|
83 |
107.355 32.047 m |
|
84 |
244.855 293.946 382.351 555.844 382.351 555.844 c |
|
85 |
[] 0 d 0 0 0 r 1.96407 w s |
|
86 |
|
|
87 |
N |
|
88 |
290.687 555.844 m |
|
89 |
375.805 293.946 460.922 32.047 460.922 32.047 c |
|
90 |
[] 0 d 1 0 0 r 3.92814 w s |
|
91 |
|
|
92 |
N |
|
93 |
120.453 555.844 m |
|
94 |
290.687 293.946 460.922 32.047 460.922 32.047 c |
|
95 |
[] 0 d 0 0 0 r 1.96407 w s |
|
96 |
|
|
97 |
N |
|
98 |
172.832 32.047 m |
|
99 |
146.64 293.946 120.453 555.844 120.453 555.844 c |
|
100 |
[] 0 d 1 0 0 r 3.92814 w s |
|
101 |
|
|
102 |
N |
|
103 |
15.6913 555.844 m |
|
104 |
15.6913 555.844 l |
|
105 |
15.6913 548.614 21.5553 542.75 28.7853 542.75 c |
|
106 |
36.0163 542.75 41.8833 548.614 41.8833 555.844 c |
|
107 |
41.8833 563.075 36.0163 568.938 28.7853 568.938 c |
|
108 |
21.5553 568.938 15.6913 563.075 15.6913 555.844 c |
|
109 |
15.6913 555.844 l |
|
110 |
C |
|
111 |
S 0 0 0 r f R |
|
112 |
|
|
113 |
N |
|
114 |
16.8833 555.844 m |
|
115 |
16.8833 555.844 l |
|
116 |
16.8833 549.27 22.2113 543.942 28.7853 543.942 c |
|
117 |
35.3593 543.942 40.6913 549.27 40.6913 555.844 c |
|
118 |
40.6913 562.418 35.3593 567.747 28.7853 567.747 c |
|
119 |
22.2113 567.747 16.8833 562.418 16.8833 555.844 c |
|
120 |
16.8833 555.844 l |
|
121 |
C |
|
122 |
S 1 0.5 1 r f R |
|
123 |
|
|
124 |
N |
|
125 |
107.355 555.844 m |
|
126 |
107.355 555.844 l |
|
127 |
107.355 548.614 113.223 542.75 120.453 542.75 c |
|
128 |
127.683 542.75 133.547 548.614 133.547 555.844 c |
|
129 |
133.547 563.075 127.683 568.938 120.453 568.938 c |
|
130 |
113.223 568.938 107.355 563.075 107.355 555.844 c |
|
131 |
107.355 555.844 l |
|
132 |
C |
|
133 |
S 0 0 0 r f R |
|
134 |
|
|
135 |
N |
|
136 |
108.547 555.844 m |
|
137 |
108.547 555.844 l |
|
138 |
108.547 549.27 113.879 543.942 120.453 543.942 c |
|
139 |
127.027 543.942 132.355 549.27 132.355 555.844 c |
|
140 |
132.355 562.418 127.027 567.747 120.453 567.747 c |
|
141 |
113.879 567.747 108.547 562.418 108.547 555.844 c |
|
142 |
108.547 555.844 l |
|
143 |
C |
|
144 |
S 1 0 1 r f R |
|
145 |
|
|
146 |
N |
|
147 |
199.019 555.844 m |
|
148 |
199.019 555.844 l |
|
149 |
199.019 548.614 204.887 542.75 212.117 542.75 c |
|
150 |
219.348 542.75 225.211 548.614 225.211 555.844 c |
|
151 |
225.211 563.075 219.348 568.938 212.117 568.938 c |
|
152 |
204.887 568.938 199.019 563.075 199.019 555.844 c |
|
153 |
199.019 555.844 l |
|
154 |
C |
|
155 |
S 0 0 0 r f R |
|
156 |
|
|
157 |
N |
|
158 |
200.211 555.844 m |
|
159 |
200.211 555.844 l |
|
160 |
200.211 549.27 205.543 543.942 212.117 543.942 c |
|
161 |
218.691 543.942 224.019 549.27 224.019 555.844 c |
|
162 |
224.019 562.418 218.691 567.747 212.117 567.747 c |
|
163 |
205.543 567.747 200.211 562.418 200.211 555.844 c |
|
164 |
200.211 555.844 l |
|
165 |
C |
|
166 |
S 1 0.5 1 r f R |
|
167 |
|
|
168 |
N |
|
169 |
277.59 555.844 m |
|
170 |
277.59 555.844 l |
|
171 |
277.59 548.614 283.457 542.75 290.687 542.75 c |
|
172 |
297.918 542.75 303.781 548.614 303.781 555.844 c |
|
173 |
303.781 563.075 297.918 568.938 290.687 568.938 c |
|
174 |
283.457 568.938 277.59 563.075 277.59 555.844 c |
|
175 |
277.59 555.844 l |
|
176 |
C |
|
177 |
S 0 0 0 r f R |
|
178 |
|
|
179 |
N |
|
180 |
278.781 555.844 m |
|
181 |
278.781 555.844 l |
|
182 |
278.781 549.27 284.113 543.942 290.687 543.942 c |
|
183 |
297.262 543.942 302.59 549.27 302.59 555.844 c |
|
184 |
302.59 562.418 297.262 567.747 290.687 567.747 c |
|
185 |
284.113 567.747 278.781 562.418 278.781 555.844 c |
|
186 |
278.781 555.844 l |
|
187 |
C |
|
188 |
S 1 0 1 r f R |
|
189 |
|
|
190 |
N |
|
191 |
369.258 555.844 m |
|
192 |
369.258 555.844 l |
|
193 |
369.258 548.614 375.121 542.75 382.351 542.75 c |
|
194 |
389.582 542.75 395.445 548.614 395.445 555.844 c |
|
195 |
395.445 563.075 389.582 568.938 382.351 568.938 c |
|
196 |
375.121 568.938 369.258 563.075 369.258 555.844 c |
|
197 |
369.258 555.844 l |
|
198 |
C |
|
199 |
S 0 0 0 r f R |
|
200 |
|
|
201 |
N |
|
202 |
370.445 555.844 m |
|
203 |
370.445 555.844 l |
|
204 |
370.445 549.27 375.777 543.942 382.351 543.942 c |
|
205 |
388.926 543.942 394.258 549.27 394.258 555.844 c |
|
206 |
394.258 562.418 388.926 567.747 382.351 567.747 c |
|
207 |
375.777 567.747 370.445 562.418 370.445 555.844 c |
|
208 |
370.445 555.844 l |
|
209 |
C |
|
210 |
S 1 0 1 r f R |
|
211 |
|
|
212 |
N |
|
213 |
460.922 555.844 m |
|
214 |
460.922 555.844 l |
|
215 |
460.922 548.614 466.785 542.75 474.016 542.75 c |
|
216 |
481.246 542.75 487.109 548.614 487.109 555.844 c |
|
217 |
487.109 563.075 481.246 568.938 474.016 568.938 c |
|
218 |
466.785 568.938 460.922 563.075 460.922 555.844 c |
|
219 |
460.922 555.844 l |
|
220 |
C |
|
221 |
S 0 0 0 r f R |
|
222 |
|
|
223 |
N |
|
224 |
462.113 555.844 m |
|
225 |
462.113 555.844 l |
|
226 |
462.113 549.27 467.441 543.942 474.016 543.942 c |
|
227 |
480.59 543.942 485.922 549.27 485.922 555.844 c |
|
228 |
485.922 562.418 480.59 567.747 474.016 567.747 c |
|
229 |
467.441 567.747 462.113 562.418 462.113 555.844 c |
|
230 |
462.113 555.844 l |
|
231 |
C |
|
232 |
S 1 0.5 1 r f R |
|
233 |
|
|
234 |
N |
|
235 |
539.492 555.844 m |
|
236 |
539.492 555.844 l |
|
237 |
539.492 548.614 545.355 542.75 552.586 542.75 c |
|
238 |
559.816 542.75 565.68 548.614 565.68 555.844 c |
|
239 |
565.68 563.075 559.816 568.938 552.586 568.938 c |
|
240 |
545.355 568.938 539.492 563.075 539.492 555.844 c |
|
241 |
539.492 555.844 l |
|
242 |
C |
|
243 |
S 0 0 0 r f R |
|
244 |
|
|
245 |
N |
|
246 |
540.683 555.844 m |
|
247 |
540.683 555.844 l |
|
248 |
540.683 549.27 546.012 543.942 552.586 543.942 c |
|
249 |
559.16 543.942 564.492 549.27 564.492 555.844 c |
|
250 |
564.492 562.418 559.16 567.747 552.586 567.747 c |
|
251 |
546.012 567.747 540.683 562.418 540.683 555.844 c |
|
252 |
540.683 555.844 l |
|
253 |
C |
|
254 |
S 1 0 1 r f R |
|
255 |
|
|
256 |
N |
|
257 |
631.156 555.844 m |
|
258 |
631.156 555.844 l |
|
259 |
631.156 548.614 637.019 542.75 644.25 542.75 c |
|
260 |
651.48 542.75 657.348 548.614 657.348 555.844 c |
|
261 |
657.348 563.075 651.48 568.938 644.25 568.938 c |
|
262 |
637.019 568.938 631.156 563.075 631.156 555.844 c |
|
263 |
631.156 555.844 l |
|
264 |
C |
|
265 |
S 0 0 0 r f R |
|
266 |
|
|
267 |
N |
|
268 |
632.348 555.844 m |
|
269 |
632.348 555.844 l |
|
270 |
632.348 549.27 637.676 543.942 644.25 543.942 c |
|
271 |
650.824 543.942 656.156 549.27 656.156 555.844 c |
|
272 |
656.156 562.418 650.824 567.747 644.25 567.747 c |
|
273 |
637.676 567.747 632.348 562.418 632.348 555.844 c |
|
274 |
632.348 555.844 l |
|
275 |
C |
|
276 |
S 1 0.5 1 r f R |
|
277 |
|
|
278 |
N |
|
279 |
722.82 555.844 m |
|
280 |
722.82 555.844 l |
|
281 |
722.82 548.614 728.687 542.75 735.918 542.75 c |
|
282 |
743.149 542.75 749.012 548.614 749.012 555.844 c |
|
283 |
749.012 563.075 743.149 568.938 735.918 568.938 c |
|
284 |
728.687 568.938 722.82 563.075 722.82 555.844 c |
|
285 |
722.82 555.844 l |
|
286 |
C |
|
287 |
S 0 0 0 r f R |
|
288 |
|
|
289 |
N |
|
290 |
724.012 555.844 m |
|
291 |
724.012 555.844 l |
|
292 |
724.012 549.27 729.344 543.942 735.918 543.942 c |
|
293 |
742.492 543.942 747.82 549.27 747.82 555.844 c |
|
294 |
747.82 562.418 742.492 567.747 735.918 567.747 c |
|
295 |
729.344 567.747 724.012 562.418 724.012 555.844 c |
|
296 |
724.012 555.844 l |
|
297 |
C |
|
298 |
S 1 0 1 r f R |
|
299 |
|
|
300 |
N |
|
301 |
801.391 555.844 m |
|
302 |
801.391 555.844 l |
|
303 |
801.391 548.614 807.254 542.75 814.484 542.75 c |
|
304 |
821.715 542.75 827.578 548.614 827.578 555.844 c |
|
305 |
827.578 563.075 821.715 568.938 814.484 568.938 c |
|
306 |
807.254 568.938 801.391 563.075 801.391 555.844 c |
|
307 |
801.391 555.844 l |
|
308 |
C |
|
309 |
S 0 0 0 r f R |
|
310 |
|
|
311 |
N |
|
312 |
802.582 555.844 m |
|
313 |
802.582 555.844 l |
|
314 |
802.582 549.27 807.91 543.942 814.484 543.942 c |
|
315 |
821.059 543.942 826.387 549.27 826.387 555.844 c |
|
316 |
826.387 562.418 821.059 567.747 814.484 567.747 c |
|
317 |
807.91 567.747 802.582 562.418 802.582 555.844 c |
|
318 |
802.582 555.844 l |
|
319 |
C |
|
320 |
S 1 0 1 r f R |
|
321 |
|
|
322 |
N |
|
323 |
15.6913 32.047 m |
|
324 |
15.6913 32.047 l |
|
325 |
15.6913 24.8165 21.5553 18.9493 28.7853 18.9493 c |
|
326 |
36.0163 18.9493 41.8833 24.8165 41.8833 32.047 c |
|
327 |
41.8833 39.2775 36.0163 45.1407 28.7853 45.1407 c |
|
328 |
21.5553 45.1407 15.6913 39.2775 15.6913 32.047 c |
|
329 |
15.6913 32.047 l |
|
330 |
C |
|
331 |
S 0 0 0 r f R |
|
332 |
|
|
333 |
N |
|
334 |
16.8833 32.047 m |
|
335 |
16.8833 32.047 l |
|
336 |
16.8833 25.4728 22.2113 20.1407 28.7853 20.1407 c |
|
337 |
35.3593 20.1407 40.6913 25.4728 40.6913 32.047 c |
|
338 |
40.6913 38.6212 35.3593 43.9493 28.7853 43.9493 c |
|
339 |
22.2113 43.9493 16.8833 38.6212 16.8833 32.047 c |
|
340 |
16.8833 32.047 l |
|
341 |
C |
|
342 |
S 0.5 0.5 1 r f R |
|
343 |
|
|
344 |
N |
|
345 |
94.2623 32.047 m |
|
346 |
94.2623 32.047 l |
|
347 |
94.2623 24.8165 100.125 18.9493 107.355 18.9493 c |
|
348 |
114.586 18.9493 120.453 24.8165 120.453 32.047 c |
|
349 |
120.453 39.2775 114.586 45.1407 107.355 45.1407 c |
|
350 |
100.125 45.1407 94.2623 39.2775 94.2623 32.047 c |
|
351 |
94.2623 32.047 l |
|
352 |
C |
|
353 |
S 0 0 0 r f R |
|
354 |
|
|
355 |
N |
|
356 |
95.4533 32.047 m |
|
357 |
95.4533 32.047 l |
|
358 |
95.4533 25.4728 100.781 20.1407 107.355 20.1407 c |
|
359 |
113.93 20.1407 119.262 25.4728 119.262 32.047 c |
|
360 |
119.262 38.6212 113.93 43.9493 107.355 43.9493 c |
|
361 |
100.781 43.9493 95.4533 38.6212 95.4533 32.047 c |
|
362 |
95.4533 32.047 l |
|
363 |
C |
|
364 |
S 0.5 0.5 1 r f R |
|
365 |
|
|
366 |
N |
|
367 |
159.734 32.047 m |
|
368 |
159.734 32.047 l |
|
369 |
159.734 24.8165 165.601 18.9493 172.832 18.9493 c |
|
370 |
180.062 18.9493 185.926 24.8165 185.926 32.047 c |
|
371 |
185.926 39.2775 180.062 45.1407 172.832 45.1407 c |
|
372 |
165.601 45.1407 159.734 39.2775 159.734 32.047 c |
|
373 |
159.734 32.047 l |
|
374 |
C |
|
375 |
S 0 0 0 r f R |
|
376 |
|
|
377 |
N |
|
378 |
160.926 32.047 m |
|
379 |
160.926 32.047 l |
|
380 |
160.926 25.4728 166.258 20.1407 172.832 20.1407 c |
|
381 |
179.406 20.1407 184.734 25.4728 184.734 32.047 c |
|
382 |
184.734 38.6212 179.406 43.9493 172.832 43.9493 c |
|
383 |
166.258 43.9493 160.926 38.6212 160.926 32.047 c |
|
384 |
160.926 32.047 l |
|
385 |
C |
|
386 |
S 0.5 0.5 1 r f R |
|
387 |
|
|
388 |
N |
|
389 |
238.305 32.047 m |
|
390 |
238.305 32.047 l |
|
391 |
238.305 24.8165 244.172 18.9493 251.402 18.9493 c |
|
392 |
258.633 18.9493 264.496 24.8165 264.496 32.047 c |
|
393 |
264.496 39.2775 258.633 45.1407 251.402 45.1407 c |
|
394 |
244.172 45.1407 238.305 39.2775 238.305 32.047 c |
|
395 |
238.305 32.047 l |
|
396 |
C |
|
397 |
S 0 0 0 r f R |
|
398 |
|
|
399 |
N |
|
400 |
239.496 32.047 m |
|
401 |
239.496 32.047 l |
|
402 |
239.496 25.4728 244.828 20.1407 251.402 20.1407 c |
|
403 |
257.976 20.1407 263.305 25.4728 263.305 32.047 c |
|
404 |
263.305 38.6212 257.976 43.9493 251.402 43.9493 c |
|
405 |
244.828 43.9493 239.496 38.6212 239.496 32.047 c |
|
406 |
239.496 32.047 l |
|
407 |
C |
|
408 |
S 0.5 0.5 1 r f R |
|
409 |
|
|
410 |
N |
|
411 |
303.781 32.047 m |
|
412 |
303.781 32.047 l |
|
413 |
303.781 24.8165 309.644 18.9493 316.875 18.9493 c |
|
414 |
324.105 18.9493 329.973 24.8165 329.973 32.047 c |
|
415 |
329.973 39.2775 324.105 45.1407 316.875 45.1407 c |
|
416 |
309.644 45.1407 303.781 39.2775 303.781 32.047 c |
|
417 |
303.781 32.047 l |
|
418 |
C |
|
419 |
S 0 0 0 r f R |
|
420 |
|
|
421 |
N |
|
422 |
304.973 32.047 m |
|
423 |
304.973 32.047 l |
|
424 |
304.973 25.4728 310.301 20.1407 316.875 20.1407 c |
|
425 |
323.449 20.1407 328.781 25.4728 328.781 32.047 c |
|
426 |
328.781 38.6212 323.449 43.9493 316.875 43.9493 c |
|
427 |
310.301 43.9493 304.973 38.6212 304.973 32.047 c |
|
428 |
304.973 32.047 l |
|
429 |
C |
|
430 |
S 0.5 0.5 1 r f R |
|
431 |
|
|
432 |
N |
|
433 |
382.351 32.047 m |
|
434 |
382.351 32.047 l |
|
435 |
382.351 24.8165 388.215 18.9493 395.445 18.9493 c |
|
436 |
402.676 18.9493 408.543 24.8165 408.543 32.047 c |
|
437 |
408.543 39.2775 402.676 45.1407 395.445 45.1407 c |
|
438 |
388.215 45.1407 382.351 39.2775 382.351 32.047 c |
|
439 |
382.351 32.047 l |
|
440 |
C |
|
441 |
S 0 0 0 r f R |
|
442 |
|
|
443 |
N |
|
444 |
383.543 32.047 m |
|
445 |
383.543 32.047 l |
|
446 |
383.543 25.4728 388.871 20.1407 395.445 20.1407 c |
|
447 |
402.019 20.1407 407.351 25.4728 407.351 32.047 c |
|
448 |
407.351 38.6212 402.019 43.9493 395.445 43.9493 c |
|
449 |
388.871 43.9493 383.543 38.6212 383.543 32.047 c |
|
450 |
383.543 32.047 l |
|
451 |
C |
|
452 |
S 0.5 0.5 1 r f R |
|
453 |
|
|
454 |
N |
|
455 |
447.828 32.047 m |
|
456 |
447.828 32.047 l |
|
457 |
447.828 24.8165 453.691 18.9493 460.922 18.9493 c |
|
458 |
468.152 18.9493 474.016 24.8165 474.016 32.047 c |
|
459 |
474.016 39.2775 468.152 45.1407 460.922 45.1407 c |
|
460 |
453.691 45.1407 447.828 39.2775 447.828 32.047 c |
|
461 |
447.828 32.047 l |
|
462 |
C |
|
463 |
S 0 0 0 r f R |
|
464 |
|
|
465 |
N |
|
466 |
449.016 32.047 m |
|
467 |
449.016 32.047 l |
|
468 |
449.016 25.4728 454.348 20.1407 460.922 20.1407 c |
|
469 |
467.496 20.1407 472.824 25.4728 472.824 32.047 c |
|
470 |
472.824 38.6212 467.496 43.9493 460.922 43.9493 c |
|
471 |
454.348 43.9493 449.016 38.6212 449.016 32.047 c |
|
472 |
449.016 32.047 l |
|
473 |
C |
|
474 |
S 0.5 0.5 1 r f R |
|
475 |
|
|
476 |
N |
|
477 |
526.394 32.047 m |
|
478 |
526.394 32.047 l |
|
479 |
526.394 24.8165 532.262 18.9493 539.492 18.9493 c |
|
480 |
546.723 18.9493 552.586 24.8165 552.586 32.047 c |
|
481 |
552.586 39.2775 546.723 45.1407 539.492 45.1407 c |
|
482 |
532.262 45.1407 526.394 39.2775 526.394 32.047 c |
|
483 |
526.394 32.047 l |
|
484 |
C |
|
485 |
S 0 0 0 r f R |
|
486 |
|
|
487 |
N |
|
488 |
527.586 32.047 m |
|
489 |
527.586 32.047 l |
|
490 |
527.586 25.4728 532.918 20.1407 539.492 20.1407 c |
|
491 |
546.066 20.1407 551.394 25.4728 551.394 32.047 c |
|
492 |
551.394 38.6212 546.066 43.9493 539.492 43.9493 c |
|
493 |
532.918 43.9493 527.586 38.6212 527.586 32.047 c |
|
494 |
527.586 32.047 l |
|
495 |
C |
|
496 |
S 0.5 0.5 1 r f R |
|
497 |
|
|
498 |
N |
|
499 |
591.871 32.047 m |
|
500 |
591.871 32.047 l |
|
501 |
591.871 24.8165 597.734 18.9493 604.965 18.9493 c |
|
502 |
612.195 18.9493 618.062 24.8165 618.062 32.047 c |
|
503 |
618.062 39.2775 612.195 45.1407 604.965 45.1407 c |
|
504 |
597.734 45.1407 591.871 39.2775 591.871 32.047 c |
|
505 |
591.871 32.047 l |
|
506 |
C |
|
507 |
S 0 0 0 r f R |
|
508 |
|
|
509 |
N |
|
510 |
593.062 32.047 m |
|
511 |
593.062 32.047 l |
|
512 |
593.062 25.4728 598.39 20.1407 604.965 20.1407 c |
|
513 |
611.539 20.1407 616.871 25.4728 616.871 32.047 c |
|
514 |
616.871 38.6212 611.539 43.9493 604.965 43.9493 c |
|
515 |
598.39 43.9493 593.062 38.6212 593.062 32.047 c |
|
516 |
593.062 32.047 l |
|
517 |
C |
|
518 |
S 0.5 0.5 1 r f R |
|
519 |
|
|
520 |
N |
|
521 |
670.441 32.047 m |
|
522 |
670.441 32.047 l |
|
523 |
670.441 24.8165 676.305 18.9493 683.535 18.9493 c |
|
524 |
690.766 18.9493 696.633 24.8165 696.633 32.047 c |
|
525 |
696.633 39.2775 690.766 45.1407 683.535 45.1407 c |
|
526 |
676.305 45.1407 670.441 39.2775 670.441 32.047 c |
|
527 |
670.441 32.047 l |
|
528 |
C |
|
529 |
S 0 0 0 r f R |
|
530 |
|
|
531 |
N |
|
532 |
671.633 32.047 m |
|
533 |
671.633 32.047 l |
|
534 |
671.633 25.4728 676.961 20.1407 683.535 20.1407 c |
|
535 |
690.109 20.1407 695.441 25.4728 695.441 32.047 c |
|
536 |
695.441 38.6212 690.109 43.9493 683.535 43.9493 c |
|
537 |
676.961 43.9493 671.633 38.6212 671.633 32.047 c |
|
538 |
671.633 32.047 l |
|
539 |
C |
|
540 |
S 0 0 1 r f R |
|
541 |
|
|
542 |
N |
|
543 |
735.918 32.047 m |
|
544 |
735.918 32.047 l |
|
545 |
735.918 24.8165 741.781 18.9493 749.012 18.9493 c |
|
546 |
756.242 18.9493 762.106 24.8165 762.106 32.047 c |
|
547 |
762.106 39.2775 756.242 45.1407 749.012 45.1407 c |
|
548 |
741.781 45.1407 735.918 39.2775 735.918 32.047 c |
|
549 |
735.918 32.047 l |
|
550 |
C |
|
551 |
S 0 0 0 r f R |
|
552 |
|
|
553 |
N |
|
554 |
737.105 32.047 m |
|
555 |
737.105 32.047 l |
|
556 |
737.105 25.4728 742.437 20.1407 749.012 20.1407 c |
|
557 |
755.586 20.1407 760.914 25.4728 760.914 32.047 c |
|
558 |
760.914 38.6212 755.586 43.9493 749.012 43.9493 c |
|
559 |
742.437 43.9493 737.105 38.6212 737.105 32.047 c |
|
560 |
737.105 32.047 l |
|
561 |
C |
|
562 |
S 0 0 1 r f R |
|
563 |
|
|
564 |
N |
|
565 |
801.391 32.047 m |
|
566 |
801.391 32.047 l |
|
567 |
801.391 24.8165 807.254 18.9493 814.484 18.9493 c |
|
568 |
821.715 18.9493 827.578 24.8165 827.578 32.047 c |
|
569 |
827.578 39.2775 821.715 45.1407 814.484 45.1407 c |
|
570 |
807.254 45.1407 801.391 39.2775 801.391 32.047 c |
|
571 |
801.391 32.047 l |
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1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
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* |
|
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* This file is a part of LEMON, a generic C++ optimization library. |
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* |
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* Copyright (C) 2003-2009 |
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* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
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* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
8 |
* |
|
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* Permission to use, modify and distribute this software is granted |
|
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* provided that this copyright notice appears in all copies. For |
|
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* precise terms see the accompanying LICENSE file. |
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* |
|
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* This software is provided "AS IS" with no warranty of any kind, |
|
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* express or implied, and with no claim as to its suitability for any |
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* purpose. |
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* |
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*/ |
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|
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namespace lemon { |
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|
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/** |
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\page min_cost_flow Minimum Cost Flow Problem |
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|
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\section mcf_def Definition (GEQ form) |
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|
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The \e minimum \e cost \e flow \e problem is to find a feasible flow of |
|
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minimum total cost from a set of supply nodes to a set of demand nodes |
|
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in a network with capacity constraints (lower and upper bounds) |
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and arc costs. |
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|
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Formally, let \f$G=(V,A)\f$ be a digraph, \f$lower: A\rightarrow\mathbf{R}\f$, |
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\f$upper: A\rightarrow\mathbf{R}\cup\{+\infty\}\f$ denote the lower and |
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upper bounds for the flow values on the arcs, for which |
|
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\f$lower(uv) \leq upper(uv)\f$ must hold for all \f$uv\in A\f$, |
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\f$cost: A\rightarrow\mathbf{R}\f$ denotes the cost per unit flow |
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on the arcs and \f$sup: V\rightarrow\mathbf{R}\f$ denotes the |
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signed supply values of the nodes. |
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If \f$sup(u)>0\f$, then \f$u\f$ is a supply node with \f$sup(u)\f$ |
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supply, if \f$sup(u)<0\f$, then \f$u\f$ is a demand node with |
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\f$-sup(u)\f$ demand. |
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A minimum cost flow is an \f$f: A\rightarrow\mathbf{R}\f$ solution |
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of the following optimization problem. |
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43 |
|
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\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f] |
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\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \geq |
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46 |
sup(u) \quad \forall u\in V \f] |
|
47 |
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
|
48 |
|
|
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The sum of the supply values, i.e. \f$\sum_{u\in V} sup(u)\f$ must be |
|
50 |
zero or negative in order to have a feasible solution (since the sum |
|
51 |
of the expressions on the left-hand side of the inequalities is zero). |
|
52 |
It means that the total demand must be greater or equal to the total |
|
53 |
supply and all the supplies have to be carried out from the supply nodes, |
|
54 |
but there could be demands that are not satisfied. |
|
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If \f$\sum_{u\in V} sup(u)\f$ is zero, then all the supply/demand |
|
56 |
constraints have to be satisfied with equality, i.e. all demands |
|
57 |
have to be satisfied and all supplies have to be used. |
|
58 |
|
|
59 |
|
|
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\section mcf_algs Algorithms |
|
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|
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LEMON contains several algorithms for solving this problem, for more |
|
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information see \ref min_cost_flow_algs "Minimum Cost Flow Algorithms". |
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64 |
|
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A feasible solution for this problem can be found using \ref Circulation. |
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66 |
|
|
67 |
|
|
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\section mcf_dual Dual Solution |
|
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|
|
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The dual solution of the minimum cost flow problem is represented by |
|
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node potentials \f$\pi: V\rightarrow\mathbf{R}\f$. |
|
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An \f$f: A\rightarrow\mathbf{R}\f$ primal feasible solution is optimal |
|
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if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$ node potentials |
|
74 |
the following \e complementary \e slackness optimality conditions hold. |
|
75 |
|
|
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- For all \f$uv\in A\f$ arcs: |
|
77 |
- if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$; |
|
78 |
- if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$; |
|
79 |
- if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$. |
|
80 |
- For all \f$u\in V\f$ nodes: |
|
81 |
- \f$\pi(u)<=0\f$; |
|
82 |
- if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$, |
|
83 |
then \f$\pi(u)=0\f$. |
|
84 |
|
|
85 |
Here \f$cost^\pi(uv)\f$ denotes the \e reduced \e cost of the arc |
|
86 |
\f$uv\in A\f$ with respect to the potential function \f$\pi\f$, i.e. |
|
87 |
\f[ cost^\pi(uv) = cost(uv) + \pi(u) - \pi(v).\f] |
|
88 |
|
|
89 |
All algorithms provide dual solution (node potentials), as well, |
|
90 |
if an optimal flow is found. |
|
91 |
|
|
92 |
|
|
93 |
\section mcf_eq Equality Form |
|
94 |
|
|
95 |
The above \ref mcf_def "definition" is actually more general than the |
|
96 |
usual formulation of the minimum cost flow problem, in which strict |
|
97 |
equalities are required in the supply/demand contraints. |
|
98 |
|
|
99 |
\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f] |
|
100 |
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) = |
|
101 |
sup(u) \quad \forall u\in V \f] |
|
102 |
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
|
103 |
|
|
104 |
However if the sum of the supply values is zero, then these two problems |
|
105 |
are equivalent. |
|
106 |
The \ref min_cost_flow_algs "algorithms" in LEMON support the general |
|
107 |
form, so if you need the equality form, you have to ensure this additional |
|
108 |
contraint manually. |
|
109 |
|
|
110 |
|
|
111 |
\section mcf_leq Opposite Inequalites (LEQ Form) |
|
112 |
|
|
113 |
Another possible definition of the minimum cost flow problem is |
|
114 |
when there are <em>"less or equal"</em> (LEQ) supply/demand constraints, |
|
115 |
instead of the <em>"greater or equal"</em> (GEQ) constraints. |
|
116 |
|
|
117 |
\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f] |
|
118 |
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \leq |
|
119 |
sup(u) \quad \forall u\in V \f] |
|
120 |
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
|
121 |
|
|
122 |
It means that the total demand must be less or equal to the |
|
123 |
total supply (i.e. \f$\sum_{u\in V} sup(u)\f$ must be zero or |
|
124 |
positive) and all the demands have to be satisfied, but there |
|
125 |
could be supplies that are not carried out from the supply |
|
126 |
nodes. |
|
127 |
The equality form is also a special case of this form, of course. |
|
128 |
|
|
129 |
You could easily transform this case to the \ref mcf_def "GEQ form" |
|
130 |
of the problem by reversing the direction of the arcs and taking the |
|
131 |
negative of the supply values (e.g. using \ref ReverseDigraph and |
|
132 |
\ref NegMap adaptors). |
|
133 |
However \ref NetworkSimplex algorithm also supports this form directly |
|
134 |
for the sake of convenience. |
|
135 |
|
|
136 |
Note that the optimality conditions for this supply constraint type are |
|
137 |
slightly differ from the conditions that are discussed for the GEQ form, |
|
138 |
namely the potentials have to be non-negative instead of non-positive. |
|
139 |
An \f$f: A\rightarrow\mathbf{R}\f$ feasible solution of this problem |
|
140 |
is optimal if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$ |
|
141 |
node potentials the following conditions hold. |
|
142 |
|
|
143 |
- For all \f$uv\in A\f$ arcs: |
|
144 |
- if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$; |
|
145 |
- if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$; |
|
146 |
- if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$. |
|
147 |
- For all \f$u\in V\f$ nodes: |
|
148 |
- \f$\pi(u)>=0\f$; |
|
149 |
- if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$, |
|
150 |
then \f$\pi(u)=0\f$. |
|
151 |
|
|
152 |
*/ |
|
153 |
} |
... | ... |
@@ -19,28 +19,34 @@ |
19 | 19 |
libtool |
20 | 20 |
stamp-h1 |
21 | 21 |
lemon/lemon.pc |
22 | 22 |
lemon/libemon.la |
23 | 23 |
lemon/stamp-h2 |
24 | 24 |
doc/Doxyfile |
25 |
cmake/ |
|
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cmake/version.cmake |
|
26 | 26 |
.dirstamp |
27 | 27 |
.libs/* |
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.deps/* |
29 | 29 |
demo/*.eps |
30 |
m4/libtool.m4 |
|
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m4/ltoptions.m4 |
|
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m4/ltsugar.m4 |
|
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m4/ltversion.m4 |
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m4/lt~obsolete.m4 |
|
30 | 35 |
|
31 | 36 |
syntax: regexp |
32 | 37 |
(.*/)?\#[^/]*\#$ |
33 | 38 |
(.*/)?\.\#[^/]*$ |
34 | 39 |
^doc/html/.* |
35 | 40 |
^doc/.*\.tag |
36 | 41 |
^autom4te.cache/.* |
37 | 42 |
^build-aux/.* |
38 |
^objs.*/.* |
|
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^.*objs.*/.* |
|
39 | 44 |
^test/[a-z_]*$ |
45 |
^tools/[a-z-_]*$ |
|
40 | 46 |
^demo/.*_demo$ |
41 |
^build/.* |
|
47 |
^.*build.*/.* |
|
42 | 48 |
^doc/gen-images/.* |
43 | 49 |
CMakeFiles |
44 | 50 |
DartTestfile.txt |
45 | 51 |
cmake_install.cmake |
46 | 52 |
CMakeCache.txt |
1 | 1 |
CMAKE_MINIMUM_REQUIRED(VERSION 2.6) |
2 | 2 |
|
3 |
IF(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake) |
|
4 |
INCLUDE(${CMAKE_SOURCE_DIR}/cmake/version.cmake) |
|
5 |
ELSE(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake) |
|
6 |
SET(PROJECT_NAME "LEMON") |
|
7 |
SET(PROJECT_VERSION "hg-tip" CACHE STRING "LEMON version string.") |
|
8 |
ENDIF(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake) |
|
9 |
|
|
3 |
SET(PROJECT_NAME "LEMON") |
|
10 | 4 |
PROJECT(${PROJECT_NAME}) |
11 | 5 |
|
12 |
|
|
6 |
IF(EXISTS ${PROJECT_SOURCE_DIR}/cmake/version.cmake) |
|
7 |
INCLUDE(${PROJECT_SOURCE_DIR}/cmake/version.cmake) |
|
8 |
ELSEIF(DEFINED ENV{LEMON_VERSION}) |
|
9 |
SET(LEMON_VERSION $ENV{LEMON_VERSION} CACHE STRING "LEMON version string.") |
|
10 |
ELSE() |
|
11 |
EXECUTE_PROCESS( |
|
12 |
COMMAND hg id -i |
|
13 |
WORKING_DIRECTORY ${PROJECT_SOURCE_DIR} |
|
14 |
OUTPUT_VARIABLE HG_REVISION |
|
15 |
ERROR_QUIET |
|
16 |
OUTPUT_STRIP_TRAILING_WHITESPACE |
|
17 |
) |
|
18 |
IF(HG_REVISION STREQUAL "") |
|
19 |
SET(HG_REVISION "hg-tip") |
|
20 |
ENDIF() |
|
21 |
SET(LEMON_VERSION ${HG_REVISION} CACHE STRING "LEMON version string.") |
|
22 |
ENDIF() |
|
13 | 23 |
|
14 |
INCLUDE(FindDoxygen) |
|
15 |
INCLUDE(FindGhostscript) |
|
24 |
SET(PROJECT_VERSION ${LEMON_VERSION}) |
|
16 | 25 |
|
17 |
|
|
26 |
SET(CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake) |
|
27 |
|
|
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FIND_PACKAGE(Doxygen) |
|
29 |
FIND_PACKAGE(Ghostscript) |
|
30 |
FIND_PACKAGE(GLPK 4.33) |
|
31 |
FIND_PACKAGE(CPLEX) |
|
32 |
FIND_PACKAGE(COIN) |
|
18 | 33 |
|
19 | 34 |
INCLUDE(CheckTypeSize) |
20 |
CHECK_TYPE_SIZE("long long" |
|
35 |
CHECK_TYPE_SIZE("long long" LONG_LONG) |
|
36 |
SET(LEMON_HAVE_LONG_LONG ${HAVE_LONG_LONG}) |
|
21 | 37 |
|
22 | 38 |
ENABLE_TESTING() |
23 | 39 |
|
24 | 40 |
ADD_SUBDIRECTORY(lemon) |
25 |
ADD_SUBDIRECTORY(demo) |
|
26 |
ADD_SUBDIRECTORY(doc) |
|
27 |
|
|
41 |
IF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR}) |
|
42 |
ADD_SUBDIRECTORY(demo) |
|
43 |
ADD_SUBDIRECTORY(tools) |
|
44 |
ADD_SUBDIRECTORY(doc) |
|
45 |
ADD_SUBDIRECTORY(test) |
|
46 |
ENDIF() |
|
28 | 47 |
|
29 |
|
|
48 |
CONFIGURE_FILE( |
|
49 |
${PROJECT_SOURCE_DIR}/cmake/LEMONConfig.cmake.in |
|
50 |
${PROJECT_BINARY_DIR}/cmake/LEMONConfig.cmake |
|
51 |
@ONLY |
|
52 |
) |
|
53 |
IF(UNIX) |
|
54 |
INSTALL( |
|
55 |
FILES ${PROJECT_BINARY_DIR}/cmake/LEMONConfig.cmake |
|
56 |
DESTINATION share/lemon/cmake |
|
57 |
) |
|
58 |
ELSEIF(WIN32) |
|
59 |
INSTALL( |
|
60 |
FILES ${PROJECT_BINARY_DIR}/cmake/LEMONConfig.cmake |
|
61 |
DESTINATION cmake |
|
62 |
) |
|
63 |
ENDIF() |
|
64 |
|
|
65 |
IF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR} AND WIN32) |
|
30 | 66 |
SET(CPACK_PACKAGE_NAME ${PROJECT_NAME}) |
31 | 67 |
SET(CPACK_PACKAGE_VENDOR "EGRES") |
32 | 68 |
SET(CPACK_PACKAGE_DESCRIPTION_SUMMARY |
33 |
"LEMON - Library of Efficient Models and Optimization in Networks") |
|
34 |
SET(CPACK_RESOURCE_FILE_LICENSE "${CMAKE_SOURCE_DIR}/LICENSE") |
|
69 |
"LEMON - Library for Efficient Modeling and Optimization in Networks") |
|
70 |
SET(CPACK_RESOURCE_FILE_LICENSE "${PROJECT_SOURCE_DIR}/LICENSE") |
|
35 | 71 |
|
36 | 72 |
SET(CPACK_PACKAGE_VERSION ${PROJECT_VERSION}) |
37 | 73 |
|
38 | 74 |
SET(CPACK_PACKAGE_INSTALL_DIRECTORY |
39 | 75 |
"${PROJECT_NAME} ${PROJECT_VERSION}") |
40 | 76 |
SET(CPACK_PACKAGE_INSTALL_REGISTRY_KEY |
41 | 77 |
"${PROJECT_NAME} ${PROJECT_VERSION}") |
42 | 78 |
|
43 |
SET(CPACK_COMPONENTS_ALL headers library html_documentation) |
|
79 |
SET(CPACK_COMPONENTS_ALL headers library html_documentation bin) |
|
44 | 80 |
|
45 | 81 |
SET(CPACK_COMPONENT_HEADERS_DISPLAY_NAME "C++ headers") |
46 | 82 |
SET(CPACK_COMPONENT_LIBRARY_DISPLAY_NAME "Dynamic-link library") |
83 |
SET(CPACK_COMPONENT_BIN_DISPLAY_NAME "Command line utilities") |
|
47 | 84 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_DISPLAY_NAME "HTML documentation") |
48 | 85 |
|
49 | 86 |
SET(CPACK_COMPONENT_HEADERS_DESCRIPTION |
50 | 87 |
"C++ header files") |
51 | 88 |
SET(CPACK_COMPONENT_LIBRARY_DESCRIPTION |
52 | 89 |
"DLL and import library") |
90 |
SET(CPACK_COMPONENT_BIN_DESCRIPTION |
|
91 |
"Command line utilities") |
|
53 | 92 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_DESCRIPTION |
54 | 93 |
"Doxygen generated documentation") |
55 | 94 |
|
56 | 95 |
SET(CPACK_COMPONENT_HEADERS_DEPENDS library) |
57 | 96 |
|
58 | 97 |
SET(CPACK_COMPONENT_HEADERS_GROUP "Development") |
... | ... |
@@ -68,15 +107,15 @@ |
68 | 107 |
|
69 | 108 |
SET(CPACK_COMPONENT_HEADERS_INSTALL_TYPES Developer Full) |
70 | 109 |
SET(CPACK_COMPONENT_LIBRARY_INSTALL_TYPES Developer Full) |
71 | 110 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_INSTALL_TYPES Full) |
72 | 111 |
|
73 | 112 |
SET(CPACK_GENERATOR "NSIS") |
74 |
SET(CPACK_NSIS_MUI_ICON "${CMAKE_SOURCE_DIR}/cmake/nsis/lemon.ico") |
|
75 |
SET(CPACK_NSIS_MUI_UNIICON "${CMAKE_SOURCE_DIR}/cmake/nsis/uninstall.ico") |
|
76 |
|
|
113 |
SET(CPACK_NSIS_MUI_ICON "${PROJECT_SOURCE_DIR}/cmake/nsis/lemon.ico") |
|
114 |
SET(CPACK_NSIS_MUI_UNIICON "${PROJECT_SOURCE_DIR}/cmake/nsis/uninstall.ico") |
|
115 |
#SET(CPACK_PACKAGE_ICON "${PROJECT_SOURCE_DIR}/cmake/nsis\\\\installer.bmp") |
|
77 | 116 |
SET(CPACK_NSIS_INSTALLED_ICON_NAME "bin\\\\lemon.ico") |
78 | 117 |
SET(CPACK_NSIS_DISPLAY_NAME "${CPACK_PACKAGE_INSTALL_DIRECTORY} ${PROJECT_NAME}") |
79 | 118 |
SET(CPACK_NSIS_HELP_LINK "http:\\\\\\\\lemon.cs.elte.hu") |
80 | 119 |
SET(CPACK_NSIS_URL_INFO_ABOUT "http:\\\\\\\\lemon.cs.elte.hu") |
81 | 120 |
SET(CPACK_NSIS_CONTACT "lemon-user@lemon.cs.elte.hu") |
82 | 121 |
SET(CPACK_NSIS_CREATE_ICONS_EXTRA " |
... | ... |
@@ -85,7 +124,7 @@ |
85 | 124 |
SET(CPACK_NSIS_DELETE_ICONS_EXTRA " |
86 | 125 |
!insertmacro MUI_STARTMENU_GETFOLDER Application $MUI_TEMP |
87 | 126 |
Delete \\\"$SMPROGRAMS\\\\$MUI_TEMP\\\\Documentation.lnk\\\" |
88 | 127 |
") |
89 | 128 |
|
90 | 129 |
INCLUDE(CPack) |
91 |
ENDIF( |
|
130 |
ENDIF() |
... | ... |
@@ -24,14 +24,14 @@ |
24 | 24 |
This command runs the configure shell script, which does some checks and |
25 | 25 |
creates the makefiles. |
26 | 26 |
|
27 | 27 |
3. `make' |
28 | 28 |
|
29 | 29 |
This command compiles the non-template part of LEMON into libemon.a |
30 |
file. It also compiles the programs in the tools and demo subdirectories |
|
31 |
when enabled. |
|
30 |
file. It also compiles the programs in the tools subdirectory by |
|
31 |
default. |
|
32 | 32 |
|
33 | 33 |
4. `make check' |
34 | 34 |
|
35 | 35 |
This step is optional, but recommended. It runs the test programs that |
36 | 36 |
we developed for LEMON to check whether the library works properly on |
37 | 37 |
your platform. |
... | ... |
@@ -72,20 +72,12 @@ |
72 | 72 |
turns on generation of aggressively optimized Pentium-M specific code. |
73 | 73 |
|
74 | 74 |
--prefix=PREFIX |
75 | 75 |
|
76 | 76 |
Set the installation prefix to PREFIX. By default it is /usr/local. |
77 | 77 |
|
78 |
--enable-demo |
|
79 |
|
|
80 |
Build the examples in the demo subdirectory. |
|
81 |
|
|
82 |
--disable-demo |
|
83 |
|
|
84 |
Do not build the examples in the demo subdirectory (default). |
|
85 |
|
|
86 | 78 |
--enable-tools |
87 | 79 |
|
88 | 80 |
Build the programs in the tools subdirectory (default). |
89 | 81 |
|
90 | 82 |
--disable-tools |
91 | 83 |
|
... | ... |
@@ -155,6 +147,29 @@ |
155 | 147 |
useful when the SoPlex headers and libraries are not under the same |
156 | 148 |
prefix (which is unlikely). |
157 | 149 |
|
158 | 150 |
--without-soplex |
159 | 151 |
|
160 | 152 |
Disable SoPlex support. |
153 |
|
|
154 |
--with-coin[=PREFIX] |
|
155 |
|
|
156 |
Enable support for COIN-OR solvers (CLP and CBC). You should |
|
157 |
specify the prefix too. (by default, COIN-OR tools install |
|
158 |
themselves to the source code directory). This command enables the |
|
159 |
solvers that are actually found. |
|
160 |
|
|
161 |
--with-coin-includedir=DIR |
|
162 |
|
|
163 |
The directory where the COIN-OR header files are located. This is |
|
164 |
only useful when the COIN-OR headers and libraries are not under |
|
165 |
the same prefix (which is unlikely). |
|
166 |
|
|
167 |
--with-coin-libdir=DIR |
|
168 |
|
|
169 |
The directory where the COIN-OR libraries are located. This is only |
|
170 |
useful when the COIN-OR headers and libraries are not under the |
|
171 |
same prefix (which is unlikely). |
|
172 |
|
|
173 |
--without-coin |
|
174 |
|
|
175 |
Disable COIN-OR support. |
1 | 1 |
LEMON code without an explicit copyright notice is covered by the following |
2 | 2 |
copyright/license. |
3 | 3 |
|
4 |
Copyright (C) 2003- |
|
4 |
Copyright (C) 2003-2009 Egervary Jeno Kombinatorikus Optimalizalasi |
|
5 | 5 |
Kutatocsoport (Egervary Combinatorial Optimization Research Group, |
6 | 6 |
EGRES). |
7 | 7 |
|
8 | 8 |
=========================================================================== |
9 | 9 |
Boost Software License, Version 1.0 |
10 | 10 |
=========================================================================== |
1 | 1 |
ACLOCAL_AMFLAGS = -I m4 |
2 | 2 |
|
3 |
AM_CXXFLAGS = $(WARNINGCXXFLAGS) |
|
4 |
|
|
3 | 5 |
AM_CPPFLAGS = -I$(top_srcdir) -I$(top_builddir) |
4 | 6 |
LDADD = $(top_builddir)/lemon/libemon.la |
5 | 7 |
|
6 | 8 |
EXTRA_DIST = \ |
7 | 9 |
AUTHORS \ |
8 | 10 |
LICENSE \ |
9 | 11 |
m4/lx_check_cplex.m4 \ |
10 | 12 |
m4/lx_check_glpk.m4 \ |
11 | 13 |
m4/lx_check_soplex.m4 \ |
14 |
m4/lx_check_coin.m4 \ |
|
12 | 15 |
CMakeLists.txt \ |
13 | 16 |
cmake/FindGhostscript.cmake \ |
17 |
cmake/FindCPLEX.cmake \ |
|
18 |
cmake/FindGLPK.cmake \ |
|
19 |
cmake/FindCOIN.cmake \ |
|
14 | 20 |
cmake/version.cmake.in \ |
15 | 21 |
cmake/version.cmake \ |
16 | 22 |
cmake/nsis/lemon.ico \ |
17 | 23 |
cmake/nsis/uninstall.ico |
18 | 24 |
|
19 | 25 |
pkgconfigdir = $(libdir)/pkgconfig |
... | ... |
@@ -33,15 +39,19 @@ |
33 | 39 |
TESTS = |
34 | 40 |
XFAIL_TESTS = |
35 | 41 |
|
36 | 42 |
include lemon/Makefile.am |
37 | 43 |
include test/Makefile.am |
38 | 44 |
include doc/Makefile.am |
39 |
include demo/Makefile.am |
|
40 | 45 |
include tools/Makefile.am |
41 | 46 |
|
47 |
DIST_SUBDIRS = demo |
|
48 |
|
|
49 |
demo: |
|
50 |
$(MAKE) $(AM_MAKEFLAGS) -C demo |
|
51 |
|
|
42 | 52 |
MRPROPERFILES = \ |
43 | 53 |
aclocal.m4 \ |
44 | 54 |
config.h.in \ |
45 | 55 |
config.h.in~ \ |
46 | 56 |
configure \ |
47 | 57 |
Makefile.in \ |
... | ... |
@@ -62,7 +72,7 @@ |
62 | 72 |
bzip2 --best -c > $(PACKAGE)-$(VERSION).tar.bz2 |
63 | 73 |
|
64 | 74 |
distcheck-bz2: distcheck |
65 | 75 |
zcat $(PACKAGE)-$(VERSION).tar.gz | \ |
66 | 76 |
bzip2 --best -c > $(PACKAGE)-$(VERSION).tar.bz2 |
67 | 77 |
|
68 |
.PHONY: mrproper dist-bz2 distcheck-bz2 |
|
78 |
.PHONY: demo mrproper dist-bz2 distcheck-bz2 |
1 |
2009-05-13 Version 1.1 released |
|
2 |
|
|
3 |
This is the second stable release of the 1.x series. It |
|
4 |
features a better coverage of the tools available in the 0.x |
|
5 |
series, a thoroughly reworked LP/MIP interface plus various |
|
6 |
improvements in the existing tools. |
|
7 |
|
|
8 |
* Much improved M$ Windows support |
|
9 |
* Various improvements in the CMAKE build system |
|
10 |
* Compilation warnings are fixed/suppressed |
|
11 |
* Support IBM xlC compiler |
|
12 |
* New algorithms |
|
13 |
* Connectivity related algorithms (#61) |
|
14 |
* Euler walks (#65) |
|
15 |
* Preflow push-relabel max. flow algorithm (#176) |
|
16 |
* Circulation algorithm (push-relabel based) (#175) |
|
17 |
* Suurballe algorithm (#47) |
|
18 |
* Gomory-Hu algorithm (#66) |
|
19 |
* Hao-Orlin algorithm (#58) |
|
20 |
* Edmond's maximum cardinality and weighted matching algorithms |
|
21 |
in general graphs (#48,#265) |
|
22 |
* Minimum cost arborescence/branching (#60) |
|
23 |
* Network Simplex min. cost flow algorithm (#234) |
|
24 |
* New data structures |
|
25 |
* Full graph structure (#57) |
|
26 |
* Grid graph structure (#57) |
|
27 |
* Hypercube graph structure (#57) |
|
28 |
* Graph adaptors (#67) |
|
29 |
* ArcSet and EdgeSet classes (#67) |
|
30 |
* Elevator class (#174) |
|
31 |
* Other new tools |
|
32 |
* LP/MIP interface (#44) |
|
33 |
* Support for GLPK, CPLEX, Soplex, COIN-OR CLP and CBC |
|
34 |
* Reader for the Nauty file format (#55) |
|
35 |
* DIMACS readers (#167) |
|
36 |
* Radix sort algorithms (#72) |
|
37 |
* RangeIdMap and CrossRefMap (#160) |
|
38 |
* New command line tools |
|
39 |
* DIMACS to LGF converter (#182) |
|
40 |
* lgf-gen - a graph generator (#45) |
|
41 |
* DIMACS solver utility (#226) |
|
42 |
* Other code improvements |
|
43 |
* Lognormal distribution added to Random (#102) |
|
44 |
* Better (i.e. O(1) time) item counting in SmartGraph (#3) |
|
45 |
* The standard maps of graphs are guaranteed to be |
|
46 |
reference maps (#190) |
|
47 |
* Miscellaneous |
|
48 |
* Various doc improvements |
|
49 |
* Improved 0.x -> 1.x converter script |
|
50 |
|
|
51 |
* Several bugfixes (compared to release 1.0): |
|
52 |
#170: Bugfix SmartDigraph::split() |
|
53 |
#171: Bugfix in SmartGraph::restoreSnapshot() |
|
54 |
#172: Extended test cases for graphs and digraphs |
|
55 |
#173: Bugfix in Random |
|
56 |
* operator()s always return a double now |
|
57 |
* the faulty real<Num>(Num) and real<Num>(Num,Num) |
|
58 |
have been removed |
|
59 |
#187: Remove DijkstraWidestPathOperationTraits |
|
60 |
#61: Bugfix in DfsVisit |
|
61 |
#193: Bugfix in GraphReader::skipSection() |
|
62 |
#195: Bugfix in ConEdgeIt() |
|
63 |
#197: Bugfix in heap unionfind |
|
64 |
* This bug affects Edmond's general matching algorithms |
|
65 |
#207: Fix 'make install' without 'make html' using CMAKE |
|
66 |
#208: Suppress or fix VS2008 compilation warnings |
|
67 |
----: Update the LEMON icon |
|
68 |
----: Enable the component-based installer |
|
69 |
(in installers made by CPACK) |
|
70 |
----: Set the proper version for CMAKE in the tarballs |
|
71 |
(made by autotools) |
|
72 |
----: Minor clarification in the LICENSE file |
|
73 |
----: Add missing unistd.h include to time_measure.h |
|
74 |
#204: Compilation bug fixed in graph_to_eps.h with VS2005 |
|
75 |
#214,#215: windows.h should never be included by lemon headers |
|
76 |
#230: Build systems check the availability of 'long long' type |
|
77 |
#229: Default implementation of Tolerance<> is used for integer types |
|
78 |
#211,#212: Various fixes for compiling on AIX |
|
79 |
----: Improvements in CMAKE config |
|
80 |
- docs is installed in share/doc/ |
|
81 |
- detects newer versions of Ghostscript |
|
82 |
#239: Fix missing 'inline' specifier in time_measure.h |
|
83 |
#274,#280: Install lemon/config.h |
|
84 |
#275: Prefix macro names with LEMON_ in lemon/config.h |
|
85 |
----: Small script for making the release tarballs added |
|
86 |
----: Minor improvement in unify-sources.sh (a76f55d7d397) |
|
87 |
|
|
1 | 88 |
2009-03-27 LEMON joins to the COIN-OR initiative |
2 | 89 |
|
3 | 90 |
COIN-OR (Computational Infrastructure for Operations Research, |
4 | 91 |
http://www.coin-or.org) project is an initiative to spur the |
5 | 92 |
development of open-source software for the operations research |
6 | 93 |
community. |
1 |
================================================================== |
|
2 |
LEMON - a Library of Efficient Models and Optimization in Networks |
|
3 |
================================================================== |
|
1 |
===================================================================== |
|
2 |
LEMON - a Library for Efficient Modeling and Optimization in Networks |
|
3 |
===================================================================== |
|
4 | 4 |
|
5 | 5 |
LEMON is an open source library written in C++. It provides |
6 | 6 |
easy-to-use implementations of common data structures and algorithms |
7 | 7 |
in the area of optimization and helps implementing new ones. The main |
8 | 8 |
focus is on graphs and graph algorithms, thus it is especially |
9 | 9 |
suitable for solving design and optimization problems of |
1 | 1 |
dnl Process this file with autoconf to produce a configure script. |
2 | 2 |
|
3 | 3 |
dnl Version information. |
4 | 4 |
m4_define([lemon_version_number], |
5 |
|
|
5 |
[m4_normalize(esyscmd([echo ${LEMON_VERSION}]))]) |
|
6 | 6 |
dnl m4_define([lemon_version_number], []) |
7 | 7 |
m4_define([lemon_hg_path], [m4_normalize(esyscmd([./scripts/chg-len.py]))]) |
8 |
m4_define([lemon_hg_revision], [m4_normalize(esyscmd([hg id -i]))]) |
|
8 |
m4_define([lemon_hg_revision], [m4_normalize(esyscmd([hg id -i 2> /dev/null]))]) |
|
9 | 9 |
m4_define([lemon_version], [ifelse(lemon_version_number(), |
10 |
[], |
|
11 |
[lemon_hg_path().lemon_hg_revision()], |
|
12 |
|
|
10 |
[], |
|
11 |
[ifelse(lemon_hg_revision(), |
|
12 |
[], |
|
13 |
[hg-tip], |
|
14 |
[lemon_hg_path().lemon_hg_revision()])], |
|
15 |
[lemon_version_number()])]) |
|
13 | 16 |
|
14 | 17 |
AC_PREREQ([2.59]) |
15 | 18 |
AC_INIT([LEMON], [lemon_version()], [lemon-user@lemon.cs.elte.hu], [lemon]) |
16 | 19 |
AC_CONFIG_AUX_DIR([build-aux]) |
17 | 20 |
AC_CONFIG_MACRO_DIR([m4]) |
18 | 21 |
AM_INIT_AUTOMAKE([-Wall -Werror foreign subdir-objects nostdinc]) |
19 | 22 |
AC_CONFIG_SRCDIR([lemon/list_graph.h]) |
20 | 23 |
AC_CONFIG_HEADERS([config.h lemon/config.h]) |
21 | 24 |
|
22 |
|
|
25 |
AC_DEFINE([LEMON_VERSION], [lemon_version()], [The version string]) |
|
23 | 26 |
|
24 | 27 |
dnl Do compilation tests using the C++ compiler. |
25 | 28 |
AC_LANG([C++]) |
26 | 29 |
|
27 | 30 |
dnl Check the existence of long long type. |
28 | 31 |
AC_CHECK_TYPE(long long, [long_long_found=yes], [long_long_found=no]) |
... | ... |
@@ -49,33 +52,25 @@ |
49 | 52 |
AC_MSG_RESULT([yes]) |
50 | 53 |
else |
51 | 54 |
AC_MSG_RESULT([no]) |
52 | 55 |
fi |
53 | 56 |
|
54 | 57 |
dnl Set custom compiler flags when using g++. |
55 |
if test x"$lx_cmdline_cxxflags_set" != x"set" -a "$GXX" = yes -a "$ICC" = no; then |
|
56 |
CXXFLAGS="$CXXFLAGS -Wall -W -Wall -W -Wunused -Wformat=2 -Wctor-dtor-privacy -Wnon-virtual-dtor -Wno-char-subscripts -Wwrite-strings -Wno-char-subscripts -Wreturn-type -Wcast-qual -Wcast-align -Wsign-promo -Woverloaded-virtual -Woverloaded-virtual -ansi -fno-strict-aliasing -Wold-style-cast -Wno-unknown-pragmas" |
|
58 |
if test "$GXX" = yes -a "$ICC" = no; then |
|
59 |
WARNINGCXXFLAGS="-Wall -W -Wall -W -Wunused -Wformat=2 -Wctor-dtor-privacy -Wnon-virtual-dtor -Wno-char-subscripts -Wwrite-strings -Wno-char-subscripts -Wreturn-type -Wcast-qual -Wcast-align -Wsign-promo -Woverloaded-virtual -ansi -fno-strict-aliasing -Wold-style-cast -Wno-unknown-pragmas" |
|
57 | 60 |
fi |
61 |
AC_SUBST([WARNINGCXXFLAGS]) |
|
58 | 62 |
|
59 | 63 |
dnl Checks for libraries. |
60 |
#LX_CHECK_GLPK |
|
61 |
#LX_CHECK_CPLEX |
|
62 |
|
|
64 |
LX_CHECK_GLPK |
|
65 |
LX_CHECK_CPLEX |
|
66 |
LX_CHECK_SOPLEX |
|
67 |
LX_CHECK_COIN |
|
63 | 68 |
|
64 |
dnl Disable/enable building the demo programs. |
|
65 |
AC_ARG_ENABLE([demo], |
|
66 |
AS_HELP_STRING([--enable-demo], [build the demo programs]) |
|
67 |
AS_HELP_STRING([--disable-demo], [do not build the demo programs @<:@default@:>@]), |
|
68 |
[], [enable_demo=no]) |
|
69 |
AC_MSG_CHECKING([whether to build the demo programs]) |
|
70 |
if test x"$enable_demo" != x"no"; then |
|
71 |
AC_MSG_RESULT([yes]) |
|
72 |
else |
|
73 |
AC_MSG_RESULT([no]) |
|
74 |
fi |
|
75 |
AM_CONDITIONAL([WANT_DEMO], [test x"$enable_demo" != x"no"]) |
|
69 |
AM_CONDITIONAL([HAVE_LP], [test x"$lx_lp_found" = x"yes"]) |
|
70 |
AM_CONDITIONAL([HAVE_MIP], [test x"$lx_mip_found" = x"yes"]) |
|
76 | 71 |
|
77 | 72 |
dnl Disable/enable building the binary tools. |
78 | 73 |
AC_ARG_ENABLE([tools], |
79 | 74 |
AS_HELP_STRING([--enable-tools], [build additional tools @<:@default@:>@]) |
80 | 75 |
AS_HELP_STRING([--disable-tools], [do not build additional tools]), |
81 | 76 |
[], [enable_tools=yes]) |
... | ... |
@@ -104,12 +99,13 @@ |
104 | 99 |
dnl Add dependencies on files generated by configure. |
105 | 100 |
AC_SUBST([CONFIG_STATUS_DEPENDENCIES], |
106 | 101 |
['$(top_srcdir)/doc/Doxyfile.in $(top_srcdir)/lemon/lemon.pc.in $(top_srcdir)/cmake/version.cmake.in']) |
107 | 102 |
|
108 | 103 |
AC_CONFIG_FILES([ |
109 | 104 |
Makefile |
105 |
demo/Makefile |
|
110 | 106 |
cmake/version.cmake |
111 | 107 |
doc/Doxyfile |
112 | 108 |
lemon/lemon.pc |
113 | 109 |
]) |
114 | 110 |
|
115 | 111 |
AC_OUTPUT |
... | ... |
@@ -117,21 +113,22 @@ |
117 | 113 |
echo |
118 | 114 |
echo '****************************** SUMMARY ******************************' |
119 | 115 |
echo |
120 | 116 |
echo Package version............... : $PACKAGE-$VERSION |
121 | 117 |
echo |
122 | 118 |
echo C++ compiler.................. : $CXX |
123 |
echo C++ compiles flags............ : $CXXFLAGS |
|
119 |
echo C++ compiles flags............ : $WARNINGCXXFLAGS $CXXFLAGS |
|
124 | 120 |
echo |
125 | 121 |
echo Compiler supports long long... : $long_long_found |
126 | 122 |
echo |
127 |
#echo GLPK support.................. : $lx_glpk_found |
|
128 |
#echo CPLEX support................. : $lx_cplex_found |
|
129 |
#echo SOPLEX support................ : $lx_soplex_found |
|
130 |
#echo |
|
131 |
echo |
|
123 |
echo GLPK support.................. : $lx_glpk_found |
|
124 |
echo CPLEX support................. : $lx_cplex_found |
|
125 |
echo SOPLEX support................ : $lx_soplex_found |
|
126 |
echo CLP support................... : $lx_clp_found |
|
127 |
echo CBC support................... : $lx_cbc_found |
|
128 |
echo |
|
132 | 129 |
echo Build additional tools........ : $enable_tools |
133 | 130 |
echo |
134 | 131 |
echo The packace will be installed in |
135 | 132 |
echo -n ' ' |
136 | 133 |
echo $prefix. |
137 | 134 |
echo |
1 | 1 |
INCLUDE_DIRECTORIES( |
2 |
${ |
|
2 |
${PROJECT_SOURCE_DIR} |
|
3 | 3 |
${PROJECT_BINARY_DIR} |
4 | 4 |
) |
5 | 5 |
|
6 |
LINK_DIRECTORIES( |
|
6 |
LINK_DIRECTORIES( |
|
7 |
${PROJECT_BINARY_DIR}/lemon |
|
8 |
) |
|
7 | 9 |
|
8 | 10 |
SET(DEMOS |
9 | 11 |
arg_parser_demo |
10 | 12 |
graph_to_eps_demo |
11 |
lgf_demo |
|
13 |
lgf_demo |
|
14 |
) |
|
12 | 15 |
|
13 | 16 |
FOREACH(DEMO_NAME ${DEMOS}) |
14 | 17 |
ADD_EXECUTABLE(${DEMO_NAME} ${DEMO_NAME}.cc) |
15 | 18 |
TARGET_LINK_LIBRARIES(${DEMO_NAME} lemon) |
16 |
ENDFOREACH( |
|
19 |
ENDFOREACH() |
1 |
EXTRA_DIST += \ |
|
2 |
demo/CMakeLists.txt \ |
|
3 |
|
|
1 |
AM_CXXFLAGS = $(WARNINGCXXFLAGS) |
|
4 | 2 |
|
5 |
|
|
3 |
AM_CPPFLAGS = -I$(top_srcdir) -I$(top_builddir) |
|
4 |
LDADD = $(top_builddir)/lemon/libemon.la |
|
6 | 5 |
|
7 |
noinst_PROGRAMS += \ |
|
8 |
demo/arg_parser_demo \ |
|
9 |
demo/graph_to_eps_demo \ |
|
10 |
demo/lgf_demo |
|
6 |
EXTRA_DIST = \ |
|
7 |
CMakeLists.txt \ |
|
8 |
digraph.lgf |
|
11 | 9 |
|
12 |
|
|
10 |
noinst_PROGRAMS = \ |
|
11 |
arg_parser_demo \ |
|
12 |
graph_to_eps_demo \ |
|
13 |
lgf_demo |
|
13 | 14 |
|
14 |
demo_arg_parser_demo_SOURCES = demo/arg_parser_demo.cc |
|
15 |
demo_graph_to_eps_demo_SOURCES = demo/graph_to_eps_demo.cc |
|
16 |
|
|
15 |
arg_parser_demo_SOURCES = arg_parser_demo.cc |
|
16 |
graph_to_eps_demo_SOURCES = graph_to_eps_demo.cc |
|
17 |
lgf_demo_SOURCES = lgf_demo.cc |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
... | ... |
@@ -82,33 +82,33 @@ |
82 | 82 |
|
83 | 83 |
// Create .eps files showing the digraph with different options |
84 | 84 |
cout << "Create 'graph_to_eps_demo_out_1_pure.eps'" << endl; |
85 | 85 |
graphToEps(g,"graph_to_eps_demo_out_1_pure.eps"). |
86 | 86 |
coords(coords). |
87 | 87 |
title("Sample .eps figure"). |
88 |
copyright("(C) 2003- |
|
88 |
copyright("(C) 2003-2009 LEMON Project"). |
|
89 | 89 |
run(); |
90 | 90 |
|
91 | 91 |
cout << "Create 'graph_to_eps_demo_out_2.eps'" << endl; |
92 | 92 |
graphToEps(g,"graph_to_eps_demo_out_2.eps"). |
93 | 93 |
coords(coords). |
94 | 94 |
title("Sample .eps figure"). |
95 |
copyright("(C) 2003- |
|
95 |
copyright("(C) 2003-2009 LEMON Project"). |
|
96 | 96 |
absoluteNodeSizes().absoluteArcWidths(). |
97 | 97 |
nodeScale(2).nodeSizes(sizes). |
98 | 98 |
nodeShapes(shapes). |
99 | 99 |
nodeColors(composeMap(palette,colors)). |
100 | 100 |
arcColors(composeMap(palette,acolors)). |
101 | 101 |
arcWidthScale(.4).arcWidths(widths). |
102 | 102 |
nodeTexts(id).nodeTextSize(3). |
103 | 103 |
run(); |
104 | 104 |
|
105 | 105 |
cout << "Create 'graph_to_eps_demo_out_3_arr.eps'" << endl; |
106 | 106 |
graphToEps(g,"graph_to_eps_demo_out_3_arr.eps"). |
107 | 107 |
title("Sample .eps figure (with arrowheads)"). |
108 |
copyright("(C) 2003- |
|
108 |
copyright("(C) 2003-2009 LEMON Project"). |
|
109 | 109 |
absoluteNodeSizes().absoluteArcWidths(). |
110 | 110 |
nodeColors(composeMap(palette,colors)). |
111 | 111 |
coords(coords). |
112 | 112 |
nodeScale(2).nodeSizes(sizes). |
113 | 113 |
nodeShapes(shapes). |
114 | 114 |
arcColors(composeMap(palette,acolors)). |
... | ... |
@@ -129,13 +129,13 @@ |
129 | 129 |
a=g.addArc(n1,n2); acolors[a]=6; widths[a]=1; |
130 | 130 |
a=g.addArc(n1,n2); acolors[a]=7; widths[a]=1; |
131 | 131 |
|
132 | 132 |
cout << "Create 'graph_to_eps_demo_out_4_par.eps'" << endl; |
133 | 133 |
graphToEps(g,"graph_to_eps_demo_out_4_par.eps"). |
134 | 134 |
title("Sample .eps figure (parallel arcs)"). |
135 |
copyright("(C) 2003- |
|
135 |
copyright("(C) 2003-2009 LEMON Project"). |
|
136 | 136 |
absoluteNodeSizes().absoluteArcWidths(). |
137 | 137 |
nodeShapes(shapes). |
138 | 138 |
coords(coords). |
139 | 139 |
nodeScale(2).nodeSizes(sizes). |
140 | 140 |
nodeColors(composeMap(palette,colors)). |
141 | 141 |
arcColors(composeMap(palette,acolors)). |
... | ... |
@@ -144,13 +144,13 @@ |
144 | 144 |
enableParallel().parArcDist(1.5). |
145 | 145 |
run(); |
146 | 146 |
|
147 | 147 |
cout << "Create 'graph_to_eps_demo_out_5_par_arr.eps'" << endl; |
148 | 148 |
graphToEps(g,"graph_to_eps_demo_out_5_par_arr.eps"). |
149 | 149 |
title("Sample .eps figure (parallel arcs and arrowheads)"). |
150 |
copyright("(C) 2003- |
|
150 |
copyright("(C) 2003-2009 LEMON Project"). |
|
151 | 151 |
absoluteNodeSizes().absoluteArcWidths(). |
152 | 152 |
nodeScale(2).nodeSizes(sizes). |
153 | 153 |
coords(coords). |
154 | 154 |
nodeShapes(shapes). |
155 | 155 |
nodeColors(composeMap(palette,colors)). |
156 | 156 |
arcColors(composeMap(palette,acolors)). |
... | ... |
@@ -160,13 +160,13 @@ |
160 | 160 |
drawArrows().arrowWidth(1).arrowLength(1). |
161 | 161 |
run(); |
162 | 162 |
|
163 | 163 |
cout << "Create 'graph_to_eps_demo_out_6_par_arr_a4.eps'" << endl; |
164 | 164 |
graphToEps(g,"graph_to_eps_demo_out_6_par_arr_a4.eps"). |
165 | 165 |
title("Sample .eps figure (fits to A4)"). |
166 |
copyright("(C) 2003- |
|
166 |
copyright("(C) 2003-2009 LEMON Project"). |
|
167 | 167 |
scaleToA4(). |
168 | 168 |
absoluteNodeSizes().absoluteArcWidths(). |
169 | 169 |
nodeScale(2).nodeSizes(sizes). |
170 | 170 |
coords(coords). |
171 | 171 |
nodeShapes(shapes). |
172 | 172 |
nodeColors(composeMap(palette,colors)). |
... | ... |
@@ -179,24 +179,24 @@ |
179 | 179 |
|
180 | 180 |
// Create an .eps file showing the colors of a default Palette |
181 | 181 |
ListDigraph h; |
182 | 182 |
ListDigraph::NodeMap<int> hcolors(h); |
183 | 183 |
ListDigraph::NodeMap<Point> hcoords(h); |
184 | 184 |
|
185 |
int cols=int(sqrt(double(palette.size()))); |
|
185 |
int cols=int(std::sqrt(double(palette.size()))); |
|
186 | 186 |
for(int i=0;i<int(paletteW.size());i++) { |
187 | 187 |
Node n=h.addNode(); |
188 | 188 |
hcoords[n]=Point(1+i%cols,1+i/cols); |
189 | 189 |
hcolors[n]=i; |
190 | 190 |
} |
191 | 191 |
|
192 | 192 |
cout << "Create 'graph_to_eps_demo_out_7_colors.eps'" << endl; |
193 | 193 |
graphToEps(h,"graph_to_eps_demo_out_7_colors.eps"). |
194 | 194 |
scale(60). |
195 | 195 |
title("Sample .eps figure (Palette demo)"). |
196 |
copyright("(C) 2003- |
|
196 |
copyright("(C) 2003-2009 LEMON Project"). |
|
197 | 197 |
coords(hcoords). |
198 | 198 |
absoluteNodeSizes().absoluteArcWidths(). |
199 | 199 |
nodeScale(.45). |
200 | 200 |
distantColorNodeTexts(). |
201 | 201 |
nodeTexts(hcolors).nodeTextSize(.6). |
202 | 202 |
nodeColors(composeMap(paletteW,hcolors)). |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
SET(PACKAGE_NAME ${PROJECT_NAME}) |
2 | 2 |
SET(PACKAGE_VERSION ${PROJECT_VERSION}) |
3 |
SET(abs_top_srcdir ${CMAKE_SOURCE_DIR}) |
|
4 |
SET(abs_top_builddir ${CMAKE_BINARY_DIR}) |
|
3 |
SET(abs_top_srcdir ${PROJECT_SOURCE_DIR}) |
|
4 |
SET(abs_top_builddir ${PROJECT_BINARY_DIR}) |
|
5 | 5 |
|
6 | 6 |
CONFIGURE_FILE( |
7 |
${CMAKE_SOURCE_DIR}/doc/Doxyfile.in |
|
8 |
${CMAKE_BINARY_DIR}/doc/Doxyfile |
|
9 |
|
|
7 |
${PROJECT_SOURCE_DIR}/doc/Doxyfile.in |
|
8 |
${PROJECT_BINARY_DIR}/doc/Doxyfile |
|
9 |
@ONLY |
|
10 |
) |
|
10 | 11 |
|
11 | 12 |
IF(DOXYGEN_EXECUTABLE AND GHOSTSCRIPT_EXECUTABLE) |
12 | 13 |
FILE(MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/) |
14 |
SET(GHOSTSCRIPT_OPTIONS -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha) |
|
15 |
ADD_CUSTOM_TARGET(html |
|
16 |
COMMAND ${CMAKE_COMMAND} -E remove_directory gen-images |
|
17 |
COMMAND ${CMAKE_COMMAND} -E make_directory gen-images |
|
18 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/bipartite_matching.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_matching.eps |
|
19 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/bipartite_partitions.png ${CMAKE_CURRENT_SOURCE_DIR}/images/bipartite_partitions.eps |
|
20 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/connected_components.eps |
|
21 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/edge_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/edge_biconnected_components.eps |
|
22 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/grid_graph.png ${CMAKE_CURRENT_SOURCE_DIR}/images/grid_graph.eps |
|
23 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/node_biconnected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/node_biconnected_components.eps |
|
24 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_0.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_0.eps |
|
25 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_1.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_1.eps |
|
26 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_2.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_2.eps |
|
27 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_3.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_3.eps |
|
28 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps |
|
29 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} ${GHOSTSCRIPT_OPTIONS} -r18 -sOutputFile=gen-images/strongly_connected_components.png ${CMAKE_CURRENT_SOURCE_DIR}/images/strongly_connected_components.eps |
|
30 |
COMMAND ${CMAKE_COMMAND} -E remove_directory html |
|
31 |
COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile |
|
32 |
WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR} |
|
33 |
) |
|
34 |
|
|
35 |
SET_TARGET_PROPERTIES(html PROPERTIES PROJECT_LABEL BUILD_DOC) |
|
36 |
|
|
13 | 37 |
IF(UNIX) |
14 |
ADD_CUSTOM_TARGET(html |
|
15 |
COMMAND rm -rf gen-images |
|
16 |
COMMAND mkdir gen-images |
|
17 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_0.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_0.eps |
|
18 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_1.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_1.eps |
|
19 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_2.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_2.eps |
|
20 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_3.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_3.eps |
|
21 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps |
|
22 |
COMMAND rm -rf html |
|
23 |
COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile |
|
24 |
|
|
38 |
INSTALL( |
|
39 |
DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/ |
|
40 |
DESTINATION share/doc/lemon/html |
|
41 |
COMPONENT html_documentation |
|
42 |
) |
|
25 | 43 |
ELSEIF(WIN32) |
26 |
ADD_CUSTOM_TARGET(html |
|
27 |
COMMAND if exist gen-images rmdir /s /q gen-images |
|
28 |
COMMAND mkdir gen-images |
|
29 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_0.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_0.eps |
|
30 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_1.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_1.eps |
|
31 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_2.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_2.eps |
|
32 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_3.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_3.eps |
|
33 |
COMMAND ${GHOSTSCRIPT_EXECUTABLE} -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 -sDEVICE=pngalpha -r18 -sOutputFile=gen-images/nodeshape_4.png ${CMAKE_CURRENT_SOURCE_DIR}/images/nodeshape_4.eps |
|
34 |
COMMAND if exist html rmdir /s /q html |
|
35 |
COMMAND ${DOXYGEN_EXECUTABLE} Doxyfile |
|
36 |
WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}) |
|
37 |
ENDIF(UNIX) |
|
38 |
INSTALL( |
|
39 |
DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/ |
|
40 |
DESTINATION share/doc |
|
41 |
COMPONENT html_documentation) |
|
42 |
|
|
44 |
INSTALL( |
|
45 |
DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html/ |
|
46 |
DESTINATION doc |
|
47 |
COMPONENT html_documentation |
|
48 |
) |
|
49 |
ENDIF() |
|
50 |
|
|
51 |
ENDIF() |
... | ... |
@@ -63,13 +63,13 @@ |
63 | 63 |
GENERATE_TODOLIST = YES |
64 | 64 |
GENERATE_TESTLIST = YES |
65 | 65 |
GENERATE_BUGLIST = YES |
66 | 66 |
GENERATE_DEPRECATEDLIST= YES |
67 | 67 |
ENABLED_SECTIONS = |
68 | 68 |
MAX_INITIALIZER_LINES = 5 |
69 |
SHOW_USED_FILES = |
|
69 |
SHOW_USED_FILES = NO |
|
70 | 70 |
SHOW_DIRECTORIES = YES |
71 | 71 |
SHOW_FILES = YES |
72 | 72 |
SHOW_NAMESPACES = YES |
73 | 73 |
FILE_VERSION_FILTER = |
74 | 74 |
LAYOUT_FILE = DoxygenLayout.xml |
75 | 75 |
#--------------------------------------------------------------------------- |
... | ... |
@@ -5,26 +5,37 @@ |
5 | 5 |
doc/dirs.dox \ |
6 | 6 |
doc/groups.dox \ |
7 | 7 |
doc/lgf.dox \ |
8 | 8 |
doc/license.dox \ |
9 | 9 |
doc/mainpage.dox \ |
10 | 10 |
doc/migration.dox \ |
11 |
doc/min_cost_flow.dox \ |
|
11 | 12 |
doc/named-param.dox \ |
12 | 13 |
doc/namespaces.dox \ |
13 | 14 |
doc/html \ |
14 | 15 |
doc/CMakeLists.txt |
15 | 16 |
|
16 | 17 |
DOC_EPS_IMAGES18 = \ |
18 |
grid_graph.eps \ |
|
17 | 19 |
nodeshape_0.eps \ |
18 | 20 |
nodeshape_1.eps \ |
19 | 21 |
nodeshape_2.eps \ |
20 | 22 |
nodeshape_3.eps \ |
21 | 23 |
nodeshape_4.eps |
22 | 24 |
|
25 |
DOC_EPS_IMAGES27 = \ |
|
26 |
bipartite_matching.eps \ |
|
27 |
bipartite_partitions.eps \ |
|
28 |
connected_components.eps \ |
|
29 |
edge_biconnected_components.eps \ |
|
30 |
node_biconnected_components.eps \ |
|
31 |
strongly_connected_components.eps |
|
32 |
|
|
23 | 33 |
DOC_EPS_IMAGES = \ |
24 |
$(DOC_EPS_IMAGES18) |
|
34 |
$(DOC_EPS_IMAGES18) \ |
|
35 |
$(DOC_EPS_IMAGES27) |
|
25 | 36 |
|
26 | 37 |
DOC_PNG_IMAGES = \ |
27 | 38 |
$(DOC_EPS_IMAGES:%.eps=doc/gen-images/%.png) |
28 | 39 |
|
29 | 40 |
EXTRA_DIST += $(DOC_EPS_IMAGES:%=doc/images/%) |
30 | 41 |
|
... | ... |
@@ -41,12 +52,23 @@ |
41 | 52 |
echo; \ |
42 | 53 |
echo "Ghostscript not found."; \ |
43 | 54 |
echo; \ |
44 | 55 |
exit 1; \ |
45 | 56 |
fi |
46 | 57 |
|
58 |
$(DOC_EPS_IMAGES27:%.eps=doc/gen-images/%.png): doc/gen-images/%.png: doc/images/%.eps |
|
59 |
-mkdir doc/gen-images |
|
60 |
if test ${gs_found} = yes; then \ |
|
61 |
$(GS_COMMAND) -sDEVICE=pngalpha -r27 -sOutputFile=$@ $<; \ |
|
62 |
else \ |
|
63 |
echo; \ |
|
64 |
echo "Ghostscript not found."; \ |
|
65 |
echo; \ |
|
66 |
exit 1; \ |
|
67 |
fi |
|
68 |
|
|
47 | 69 |
html-local: $(DOC_PNG_IMAGES) |
48 | 70 |
if test ${doxygen_found} = yes; then \ |
49 | 71 |
cd doc; \ |
50 | 72 |
doxygen Doxyfile; \ |
51 | 73 |
cd ..; \ |
52 | 74 |
else \ |
... | ... |
@@ -66,22 +88,22 @@ |
66 | 88 |
wget -O doc/libstdc++.tag.tmp http://gcc.gnu.org/onlinedocs/libstdc++/latest-doxygen/libstdc++.tag && \ |
67 | 89 |
mv doc/libstdc++.tag.tmp doc/libstdc++.tag || \ |
68 | 90 |
rm doc/libstdc++.tag.tmp |
69 | 91 |
|
70 | 92 |
install-html-local: doc/html |
71 | 93 |
@$(NORMAL_INSTALL) |
72 |
$(mkinstalldirs) $(DESTDIR)$(htmldir)/ |
|
94 |
$(mkinstalldirs) $(DESTDIR)$(htmldir)/html |
|
73 | 95 |
for p in doc/html/*.{html,css,png,map,gif,tag} ; do \ |
74 | 96 |
f="`echo $$p | sed -e 's|^.*/||'`"; \ |
75 |
echo " $(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/docs/$$f"; \ |
|
76 |
$(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/docs/$$f; \ |
|
97 |
echo " $(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/html/$$f"; \ |
|
98 |
$(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/html/$$f; \ |
|
77 | 99 |
done |
78 | 100 |
|
79 | 101 |
uninstall-local: |
80 | 102 |
@$(NORMAL_UNINSTALL) |
81 | 103 |
for p in doc/html/*.{html,css,png,map,gif,tag} ; do \ |
82 | 104 |
f="`echo $$p | sed -e 's|^.*/||'`"; \ |
83 |
echo " rm -f $(DESTDIR)$(htmldir)/docs/$$f"; \ |
|
84 |
rm -f $(DESTDIR)$(htmldir)/docs/$$f; \ |
|
105 |
echo " rm -f $(DESTDIR)$(htmldir)/html/$$f"; \ |
|
106 |
rm -f $(DESTDIR)$(htmldir)/html/$$f; \ |
|
85 | 107 |
done |
86 | 108 |
|
87 | 109 |
.PHONY: update-external-tags |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
... | ... |
@@ -68,10 +68,10 @@ |
68 | 68 |
*/ |
69 | 69 |
|
70 | 70 |
/** |
71 | 71 |
\dir bits |
72 | 72 |
\brief Auxiliary tools for implementation. |
73 | 73 |
|
74 |
This directory contains some auxiliary classes for implementing graphs, |
|
74 |
This directory contains some auxiliary classes for implementing graphs, |
|
75 | 75 |
maps and some other classes. |
76 | 76 |
As a user you typically don't have to deal with these files. |
77 | 77 |
*/ |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
... | ... |
@@ -13,15 +13,17 @@ |
13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
14 | 14 |
* express or implied, and with no claim as to its suitability for any |
15 | 15 |
* purpose. |
16 | 16 |
* |
17 | 17 |
*/ |
18 | 18 |
|
19 |
namespace lemon { |
|
20 |
|
|
19 | 21 |
/** |
20 | 22 |
@defgroup datas Data Structures |
21 |
This group |
|
23 |
This group contains the several data structures implemented in LEMON. |
|
22 | 24 |
*/ |
23 | 25 |
|
24 | 26 |
/** |
25 | 27 |
@defgroup graphs Graph Structures |
26 | 28 |
@ingroup datas |
27 | 29 |
\brief Graph structures implemented in LEMON. |
... | ... |
@@ -57,52 +59,121 @@ |
57 | 59 |
with any graph structure. |
58 | 60 |
|
59 | 61 |
<b>See also:</b> \ref graph_concepts "Graph Structure Concepts". |
60 | 62 |
*/ |
61 | 63 |
|
62 | 64 |
/** |
63 |
@defgroup |
|
65 |
@defgroup graph_adaptors Adaptor Classes for Graphs |
|
64 | 66 |
@ingroup graphs |
65 |
\brief |
|
67 |
\brief Adaptor classes for digraphs and graphs |
|
66 | 68 |
|
67 |
This group describes some graph types between real graphs and graph adaptors. |
|
68 |
These classes wrap graphs to give new functionality as the adaptors do it. |
|
69 |
|
|
69 |
This group contains several useful adaptor classes for digraphs and graphs. |
|
70 |
|
|
71 |
The main parts of LEMON are the different graph structures, generic |
|
72 |
graph algorithms, graph concepts, which couple them, and graph |
|
73 |
adaptors. While the previous notions are more or less clear, the |
|
74 |
latter one needs further explanation. Graph adaptors are graph classes |
|
75 |
which serve for considering graph structures in different ways. |
|
76 |
|
|
77 |
A short example makes this much clearer. Suppose that we have an |
|
78 |
instance \c g of a directed graph type, say ListDigraph and an algorithm |
|
79 |
\code |
|
80 |
template <typename Digraph> |
|
81 |
int algorithm(const Digraph&); |
|
82 |
\endcode |
|
83 |
is needed to run on the reverse oriented graph. It may be expensive |
|
84 |
(in time or in memory usage) to copy \c g with the reversed |
|
85 |
arcs. In this case, an adaptor class is used, which (according |
|
86 |
to LEMON \ref concepts::Digraph "digraph concepts") works as a digraph. |
|
87 |
The adaptor uses the original digraph structure and digraph operations when |
|
88 |
methods of the reversed oriented graph are called. This means that the adaptor |
|
89 |
have minor memory usage, and do not perform sophisticated algorithmic |
|
90 |
actions. The purpose of it is to give a tool for the cases when a |
|
91 |
graph have to be used in a specific alteration. If this alteration is |
|
92 |
obtained by a usual construction like filtering the node or the arc set or |
|
93 |
considering a new orientation, then an adaptor is worthwhile to use. |
|
94 |
To come back to the reverse oriented graph, in this situation |
|
95 |
\code |
|
96 |
template<typename Digraph> class ReverseDigraph; |
|
97 |
\endcode |
|
98 |
template class can be used. The code looks as follows |
|
99 |
\code |
|
100 |
ListDigraph g; |
|
101 |
ReverseDigraph<ListDigraph> rg(g); |
|
102 |
int result = algorithm(rg); |
|
103 |
\endcode |
|
104 |
During running the algorithm, the original digraph \c g is untouched. |
|
105 |
This techniques give rise to an elegant code, and based on stable |
|
106 |
graph adaptors, complex algorithms can be implemented easily. |
|
107 |
|
|
108 |
In flow, circulation and matching problems, the residual |
|
109 |
graph is of particular importance. Combining an adaptor implementing |
|
110 |
this with shortest path algorithms or minimum mean cycle algorithms, |
|
111 |
a range of weighted and cardinality optimization algorithms can be |
|
112 |
obtained. For other examples, the interested user is referred to the |
|
113 |
detailed documentation of particular adaptors. |
|
114 |
|
|
115 |
The behavior of graph adaptors can be very different. Some of them keep |
|
116 |
capabilities of the original graph while in other cases this would be |
|
117 |
meaningless. This means that the concepts that they meet depend |
|
118 |
on the graph adaptor, and the wrapped graph. |
|
119 |
For example, if an arc of a reversed digraph is deleted, this is carried |
|
120 |
out by deleting the corresponding arc of the original digraph, thus the |
|
121 |
adaptor modifies the original digraph. |
|
122 |
However in case of a residual digraph, this operation has no sense. |
|
123 |
|
|
124 |
Let us stand one more example here to simplify your work. |
|
125 |
ReverseDigraph has constructor |
|
126 |
\code |
|
127 |
ReverseDigraph(Digraph& digraph); |
|
128 |
\endcode |
|
129 |
This means that in a situation, when a <tt>const %ListDigraph&</tt> |
|
130 |
reference to a graph is given, then it have to be instantiated with |
|
131 |
<tt>Digraph=const %ListDigraph</tt>. |
|
132 |
\code |
|
133 |
int algorithm1(const ListDigraph& g) { |
|
134 |
ReverseDigraph<const ListDigraph> rg(g); |
|
135 |
return algorithm2(rg); |
|
136 |
} |
|
137 |
\endcode |
|
70 | 138 |
*/ |
71 | 139 |
|
72 | 140 |
/** |
73 | 141 |
@defgroup maps Maps |
74 | 142 |
@ingroup datas |
75 | 143 |
\brief Map structures implemented in LEMON. |
76 | 144 |
|
77 |
This group |
|
145 |
This group contains the map structures implemented in LEMON. |
|
78 | 146 |
|
79 | 147 |
LEMON provides several special purpose maps and map adaptors that e.g. combine |
80 | 148 |
new maps from existing ones. |
81 | 149 |
|
82 | 150 |
<b>See also:</b> \ref map_concepts "Map Concepts". |
83 | 151 |
*/ |
84 | 152 |
|
85 | 153 |
/** |
86 | 154 |
@defgroup graph_maps Graph Maps |
87 | 155 |
@ingroup maps |
88 | 156 |
\brief Special graph-related maps. |
89 | 157 |
|
90 |
This group describes maps that are specifically designed to assign |
|
91 |
values to the nodes and arcs of graphs. |
|
158 |
This group contains maps that are specifically designed to assign |
|
159 |
values to the nodes and arcs/edges of graphs. |
|
160 |
|
|
161 |
If you are looking for the standard graph maps (\c NodeMap, \c ArcMap, |
|
162 |
\c EdgeMap), see the \ref graph_concepts "Graph Structure Concepts". |
|
92 | 163 |
*/ |
93 | 164 |
|
94 | 165 |
/** |
95 | 166 |
\defgroup map_adaptors Map Adaptors |
96 | 167 |
\ingroup maps |
97 | 168 |
\brief Tools to create new maps from existing ones |
98 | 169 |
|
99 |
This group |
|
170 |
This group contains map adaptors that are used to create "implicit" |
|
100 | 171 |
maps from other maps. |
101 | 172 |
|
102 |
Most of them are \ref |
|
173 |
Most of them are \ref concepts::ReadMap "read-only maps". |
|
103 | 174 |
They can make arithmetic and logical operations between one or two maps |
104 | 175 |
(negation, shifting, addition, multiplication, logical 'and', 'or', |
105 | 176 |
'not' etc.) or e.g. convert a map to another one of different Value type. |
106 | 177 |
|
107 | 178 |
The typical usage of this classes is passing implicit maps to |
108 | 179 |
algorithms. If a function type algorithm is called then the function |
... | ... |
@@ -156,21 +227,21 @@ |
156 | 227 |
|
157 | 228 |
/** |
158 | 229 |
@defgroup matrices Matrices |
159 | 230 |
@ingroup datas |
160 | 231 |
\brief Two dimensional data storages implemented in LEMON. |
161 | 232 |
|
162 |
This group |
|
233 |
This group contains two dimensional data storages implemented in LEMON. |
|
163 | 234 |
*/ |
164 | 235 |
|
165 | 236 |
/** |
166 | 237 |
@defgroup paths Path Structures |
167 | 238 |
@ingroup datas |
168 | 239 |
\brief %Path structures implemented in LEMON. |
169 | 240 |
|
170 |
This group |
|
241 |
This group contains the path structures implemented in LEMON. |
|
171 | 242 |
|
172 | 243 |
LEMON provides flexible data structures to work with paths. |
173 | 244 |
All of them have similar interfaces and they can be copied easily with |
174 | 245 |
assignment operators and copy constructors. This makes it easy and |
175 | 246 |
efficient to have e.g. the Dijkstra algorithm to store its result in |
176 | 247 |
any kind of path structure. |
... | ... |
@@ -180,220 +251,254 @@ |
180 | 251 |
|
181 | 252 |
/** |
182 | 253 |
@defgroup auxdat Auxiliary Data Structures |
183 | 254 |
@ingroup datas |
184 | 255 |
\brief Auxiliary data structures implemented in LEMON. |
185 | 256 |
|
186 |
This group |
|
257 |
This group contains some data structures implemented in LEMON in |
|
187 | 258 |
order to make it easier to implement combinatorial algorithms. |
188 | 259 |
*/ |
189 | 260 |
|
190 | 261 |
/** |
191 | 262 |
@defgroup algs Algorithms |
192 |
\brief This group |
|
263 |
\brief This group contains the several algorithms |
|
193 | 264 |
implemented in LEMON. |
194 | 265 |
|
195 |
This group |
|
266 |
This group contains the several algorithms |
|
196 | 267 |
implemented in LEMON. |
197 | 268 |
*/ |
198 | 269 |
|
199 | 270 |
/** |
200 | 271 |
@defgroup search Graph Search |
201 | 272 |
@ingroup algs |
202 | 273 |
\brief Common graph search algorithms. |
203 | 274 |
|
204 |
This group describes the common graph search algorithms like |
|
205 |
Breadth-First Search (BFS) and Depth-First Search (DFS). |
|
275 |
This group contains the common graph search algorithms, namely |
|
276 |
\e breadth-first \e search (BFS) and \e depth-first \e search (DFS). |
|
206 | 277 |
*/ |
207 | 278 |
|
208 | 279 |
/** |
209 | 280 |
@defgroup shortest_path Shortest Path Algorithms |
210 | 281 |
@ingroup algs |
211 | 282 |
\brief Algorithms for finding shortest paths. |
212 | 283 |
|
213 |
This group |
|
284 |
This group contains the algorithms for finding shortest paths in digraphs. |
|
285 |
|
|
286 |
- \ref Dijkstra algorithm for finding shortest paths from a source node |
|
287 |
when all arc lengths are non-negative. |
|
288 |
- \ref BellmanFord "Bellman-Ford" algorithm for finding shortest paths |
|
289 |
from a source node when arc lenghts can be either positive or negative, |
|
290 |
but the digraph should not contain directed cycles with negative total |
|
291 |
length. |
|
292 |
- \ref FloydWarshall "Floyd-Warshall" and \ref Johnson "Johnson" algorithms |
|
293 |
for solving the \e all-pairs \e shortest \e paths \e problem when arc |
|
294 |
lenghts can be either positive or negative, but the digraph should |
|
295 |
not contain directed cycles with negative total length. |
|
296 |
- \ref Suurballe A successive shortest path algorithm for finding |
|
297 |
arc-disjoint paths between two nodes having minimum total length. |
|
214 | 298 |
*/ |
215 | 299 |
|
216 | 300 |
/** |
217 | 301 |
@defgroup max_flow Maximum Flow Algorithms |
218 | 302 |
@ingroup algs |
219 | 303 |
\brief Algorithms for finding maximum flows. |
220 | 304 |
|
221 |
This group |
|
305 |
This group contains the algorithms for finding maximum flows and |
|
222 | 306 |
feasible circulations. |
223 | 307 |
|
224 |
The maximum flow problem is to find a flow between a single source and |
|
225 |
a single target that is maximum. Formally, there is a \f$G=(V,A)\f$ |
|
226 |
directed graph, an \f$c_a:A\rightarrow\mathbf{R}^+_0\f$ capacity |
|
227 |
function and given \f$s, t \in V\f$ source and target node. The |
|
228 |
maximum flow is |
|
308 |
The \e maximum \e flow \e problem is to find a flow of maximum value between |
|
309 |
a single source and a single target. Formally, there is a \f$G=(V,A)\f$ |
|
310 |
digraph, a \f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function and |
|
311 |
\f$s, t \in V\f$ source and target nodes. |
|
312 |
A maximum flow is an \f$f: A\rightarrow\mathbf{R}^+_0\f$ solution of the |
|
313 |
following optimization problem. |
|
229 | 314 |
|
230 |
\f[ 0 \le f_a \le c_a \f] |
|
231 |
\f[ \sum_{v\in\delta^{-}(u)}f_{vu}=\sum_{v\in\delta^{+}(u)}f_{uv} |
|
232 |
\qquad \forall u \in V \setminus \{s,t\}\f] |
|
233 |
\f[ \max \sum_{v\in\delta^{+}(s)}f_{uv} - \sum_{v\in\delta^{-}(s)}f_{vu}\f] |
|
315 |
\f[ \max\sum_{sv\in A} f(sv) - \sum_{vs\in A} f(vs) \f] |
|
316 |
\f[ \sum_{uv\in A} f(uv) = \sum_{vu\in A} f(vu) |
|
317 |
\quad \forall u\in V\setminus\{s,t\} \f] |
|
318 |
\f[ 0 \leq f(uv) \leq cap(uv) \quad \forall uv\in A \f] |
|
234 | 319 |
|
235 | 320 |
LEMON contains several algorithms for solving maximum flow problems: |
236 |
- \ref lemon::EdmondsKarp "Edmonds-Karp" |
|
237 |
- \ref lemon::Preflow "Goldberg's Preflow algorithm" |
|
238 |
- \ref lemon::DinitzSleatorTarjan "Dinitz's blocking flow algorithm with dynamic trees" |
|
239 |
- \ref lemon::GoldbergTarjan "Preflow algorithm with dynamic trees" |
|
321 |
- \ref EdmondsKarp Edmonds-Karp algorithm. |
|
322 |
- \ref Preflow Goldberg-Tarjan's preflow push-relabel algorithm. |
|
323 |
- \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees. |
|
324 |
- \ref GoldbergTarjan Preflow push-relabel algorithm with dynamic trees. |
|
240 | 325 |
|
241 |
In most cases the \ref lemon::Preflow "Preflow" algorithm provides the |
|
242 |
fastest method to compute the maximum flow. All impelementations |
|
243 |
provides functions to query the minimum cut, which is the dual linear |
|
244 |
programming problem of the maximum flow. |
|
326 |
In most cases the \ref Preflow "Preflow" algorithm provides the |
|
327 |
fastest method for computing a maximum flow. All implementations |
|
328 |
also provide functions to query the minimum cut, which is the dual |
|
329 |
problem of maximum flow. |
|
330 |
|
|
331 |
\ref Circulation is a preflow push-relabel algorithm implemented directly |
|
332 |
for finding feasible circulations, which is a somewhat different problem, |
|
333 |
but it is strongly related to maximum flow. |
|
334 |
For more information, see \ref Circulation. |
|
245 | 335 |
*/ |
246 | 336 |
|
247 | 337 |
/** |
248 |
@defgroup |
|
338 |
@defgroup min_cost_flow_algs Minimum Cost Flow Algorithms |
|
249 | 339 |
@ingroup algs |
250 | 340 |
|
251 | 341 |
\brief Algorithms for finding minimum cost flows and circulations. |
252 | 342 |
|
253 |
This group describes the algorithms for finding minimum cost flows and |
|
254 |
circulations. |
|
343 |
This group contains the algorithms for finding minimum cost flows and |
|
344 |
circulations. For more information about this problem and its dual |
|
345 |
solution see \ref min_cost_flow "Minimum Cost Flow Problem". |
|
346 |
|
|
347 |
LEMON contains several algorithms for this problem. |
|
348 |
- \ref NetworkSimplex Primal Network Simplex algorithm with various |
|
349 |
pivot strategies. |
|
350 |
- \ref CostScaling Push-Relabel and Augment-Relabel algorithms based on |
|
351 |
cost scaling. |
|
352 |
- \ref CapacityScaling Successive Shortest %Path algorithm with optional |
|
353 |
capacity scaling. |
|
354 |
- \ref CancelAndTighten The Cancel and Tighten algorithm. |
|
355 |
- \ref CycleCanceling Cycle-Canceling algorithms. |
|
356 |
|
|
357 |
In general NetworkSimplex is the most efficient implementation, |
|
358 |
but in special cases other algorithms could be faster. |
|
359 |
For example, if the total supply and/or capacities are rather small, |
|
360 |
CapacityScaling is usually the fastest algorithm (without effective scaling). |
|
255 | 361 |
*/ |
256 | 362 |
|
257 | 363 |
/** |
258 | 364 |
@defgroup min_cut Minimum Cut Algorithms |
259 | 365 |
@ingroup algs |
260 | 366 |
|
261 | 367 |
\brief Algorithms for finding minimum cut in graphs. |
262 | 368 |
|
263 |
This group |
|
369 |
This group contains the algorithms for finding minimum cut in graphs. |
|
264 | 370 |
|
265 |
The minimum cut problem is to find a non-empty and non-complete |
|
266 |
\f$X\f$ subset of the vertices with minimum overall capacity on |
|
267 |
outgoing arcs. Formally, there is \f$G=(V,A)\f$ directed graph, an |
|
268 |
\f$c_a:A\rightarrow\mathbf{R}^+_0\f$ capacity function. The minimum |
|
371 |
The \e minimum \e cut \e problem is to find a non-empty and non-complete |
|
372 |
\f$X\f$ subset of the nodes with minimum overall capacity on |
|
373 |
outgoing arcs. Formally, there is a \f$G=(V,A)\f$ digraph, a |
|
374 |
\f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function. The minimum |
|
269 | 375 |
cut is the \f$X\f$ solution of the next optimization problem: |
270 | 376 |
|
271 | 377 |
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}} |
272 |
\sum_{uv\in A, u\in X, v\not\in X} |
|
378 |
\sum_{uv\in A, u\in X, v\not\in X}cap(uv) \f] |
|
273 | 379 |
|
274 | 380 |
LEMON contains several algorithms related to minimum cut problems: |
275 | 381 |
|
276 |
- \ref lemon::HaoOrlin "Hao-Orlin algorithm" to calculate minimum cut |
|
277 |
in directed graphs |
|
278 |
- \ref lemon::NagamochiIbaraki "Nagamochi-Ibaraki algorithm" to |
|
279 |
calculate minimum cut in undirected graphs |
|
280 |
- \ref lemon::GomoryHuTree "Gomory-Hu tree computation" to calculate all |
|
281 |
pairs minimum cut in undirected graphs |
|
382 |
- \ref HaoOrlin "Hao-Orlin algorithm" for calculating minimum cut |
|
383 |
in directed graphs. |
|
384 |
- \ref NagamochiIbaraki "Nagamochi-Ibaraki algorithm" for |
|
385 |
calculating minimum cut in undirected graphs. |
|
386 |
- \ref GomoryHu "Gomory-Hu tree computation" for calculating |
|
387 |
all-pairs minimum cut in undirected graphs. |
|
282 | 388 |
|
283 | 389 |
If you want to find minimum cut just between two distinict nodes, |
284 |
|
|
390 |
see the \ref max_flow "maximum flow problem". |
|
285 | 391 |
*/ |
286 | 392 |
|
287 | 393 |
/** |
288 |
@defgroup |
|
394 |
@defgroup graph_properties Connectivity and Other Graph Properties |
|
289 | 395 |
@ingroup algs |
290 | 396 |
\brief Algorithms for discovering the graph properties |
291 | 397 |
|
292 |
This group |
|
398 |
This group contains the algorithms for discovering the graph properties |
|
293 | 399 |
like connectivity, bipartiteness, euler property, simplicity etc. |
294 | 400 |
|
295 | 401 |
\image html edge_biconnected_components.png |
296 | 402 |
\image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth |
297 | 403 |
*/ |
298 | 404 |
|
299 | 405 |
/** |
300 | 406 |
@defgroup planar Planarity Embedding and Drawing |
301 | 407 |
@ingroup algs |
302 | 408 |
\brief Algorithms for planarity checking, embedding and drawing |
303 | 409 |
|
304 |
This group |
|
410 |
This group contains the algorithms for planarity checking, |
|
305 | 411 |
embedding and drawing. |
306 | 412 |
|
307 | 413 |
\image html planar.png |
308 | 414 |
\image latex planar.eps "Plane graph" width=\textwidth |
309 | 415 |
*/ |
310 | 416 |
|
311 | 417 |
/** |
312 | 418 |
@defgroup matching Matching Algorithms |
313 | 419 |
@ingroup algs |
314 | 420 |
\brief Algorithms for finding matchings in graphs and bipartite graphs. |
315 | 421 |
|
316 |
This group contains |
|
422 |
This group contains the algorithms for calculating |
|
317 | 423 |
matchings in graphs and bipartite graphs. The general matching problem is |
318 |
finding a subset of the |
|
424 |
finding a subset of the edges for which each node has at most one incident |
|
425 |
edge. |
|
319 | 426 |
|
320 | 427 |
There are several different algorithms for calculate matchings in |
321 | 428 |
graphs. The matching problems in bipartite graphs are generally |
322 | 429 |
easier than in general graphs. The goal of the matching optimization |
323 |
can be |
|
430 |
can be finding maximum cardinality, maximum weight or minimum cost |
|
324 | 431 |
matching. The search can be constrained to find perfect or |
325 | 432 |
maximum cardinality matching. |
326 | 433 |
|
327 |
LEMON contains the next algorithms: |
|
328 |
- \ref lemon::MaxBipartiteMatching "MaxBipartiteMatching" Hopcroft-Karp |
|
329 |
augmenting path algorithm for calculate maximum cardinality matching in |
|
330 |
bipartite graphs |
|
331 |
- \ref lemon::PrBipartiteMatching "PrBipartiteMatching" Push-Relabel |
|
332 |
algorithm for calculate maximum cardinality matching in bipartite graphs |
|
333 |
- \ref lemon::MaxWeightedBipartiteMatching "MaxWeightedBipartiteMatching" |
|
334 |
Successive shortest path algorithm for calculate maximum weighted matching |
|
335 |
and maximum weighted bipartite matching in bipartite graph |
|
336 |
- \ref lemon::MinCostMaxBipartiteMatching "MinCostMaxBipartiteMatching" |
|
337 |
Successive shortest path algorithm for calculate minimum cost maximum |
|
338 |
matching in bipartite graph |
|
339 |
- \ref lemon::MaxMatching "MaxMatching" Edmond's blossom shrinking algorithm |
|
340 |
for calculate maximum cardinality matching in general graph |
|
341 |
- \ref lemon::MaxWeightedMatching "MaxWeightedMatching" Edmond's blossom |
|
342 |
shrinking algorithm for calculate maximum weighted matching in general |
|
343 |
graph |
|
344 |
- \ref lemon::MaxWeightedPerfectMatching "MaxWeightedPerfectMatching" |
|
345 |
Edmond's blossom shrinking algorithm for calculate maximum weighted |
|
346 |
perfect matching in general graph |
|
434 |
The matching algorithms implemented in LEMON: |
|
435 |
- \ref MaxBipartiteMatching Hopcroft-Karp augmenting path algorithm |
|
436 |
for calculating maximum cardinality matching in bipartite graphs. |
|
437 |
- \ref PrBipartiteMatching Push-relabel algorithm |
|
438 |
for calculating maximum cardinality matching in bipartite graphs. |
|
439 |
- \ref MaxWeightedBipartiteMatching |
|
440 |
Successive shortest path algorithm for calculating maximum weighted |
|
441 |
matching and maximum weighted bipartite matching in bipartite graphs. |
|
442 |
- \ref MinCostMaxBipartiteMatching |
|
443 |
Successive shortest path algorithm for calculating minimum cost maximum |
|
444 |
matching in bipartite graphs. |
|
445 |
- \ref MaxMatching Edmond's blossom shrinking algorithm for calculating |
|
446 |
maximum cardinality matching in general graphs. |
|
447 |
- \ref MaxWeightedMatching Edmond's blossom shrinking algorithm for calculating |
|
448 |
maximum weighted matching in general graphs. |
|
449 |
- \ref MaxWeightedPerfectMatching |
|
450 |
Edmond's blossom shrinking algorithm for calculating maximum weighted |
|
451 |
perfect matching in general graphs. |
|
347 | 452 |
|
348 | 453 |
\image html bipartite_matching.png |
349 | 454 |
\image latex bipartite_matching.eps "Bipartite Matching" width=\textwidth |
350 | 455 |
*/ |
351 | 456 |
|
352 | 457 |
/** |
353 | 458 |
@defgroup spantree Minimum Spanning Tree Algorithms |
354 | 459 |
@ingroup algs |
355 |
\brief Algorithms for finding |
|
460 |
\brief Algorithms for finding minimum cost spanning trees and arborescences. |
|
356 | 461 |
|
357 |
This group describes the algorithms for finding a minimum cost spanning |
|
358 |
tree in a graph |
|
462 |
This group contains the algorithms for finding minimum cost spanning |
|
463 |
trees and arborescences. |
|
359 | 464 |
*/ |
360 | 465 |
|
361 | 466 |
/** |
362 | 467 |
@defgroup auxalg Auxiliary Algorithms |
363 | 468 |
@ingroup algs |
364 | 469 |
\brief Auxiliary algorithms implemented in LEMON. |
365 | 470 |
|
366 |
This group |
|
471 |
This group contains some algorithms implemented in LEMON |
|
367 | 472 |
in order to make it easier to implement complex algorithms. |
368 | 473 |
*/ |
369 | 474 |
|
370 | 475 |
/** |
371 | 476 |
@defgroup approx Approximation Algorithms |
372 | 477 |
@ingroup algs |
373 | 478 |
\brief Approximation algorithms. |
374 | 479 |
|
375 |
This group |
|
480 |
This group contains the approximation and heuristic algorithms |
|
376 | 481 |
implemented in LEMON. |
377 | 482 |
*/ |
378 | 483 |
|
379 | 484 |
/** |
380 | 485 |
@defgroup gen_opt_group General Optimization Tools |
381 |
\brief This group |
|
486 |
\brief This group contains some general optimization frameworks |
|
382 | 487 |
implemented in LEMON. |
383 | 488 |
|
384 |
This group |
|
489 |
This group contains some general optimization frameworks |
|
385 | 490 |
implemented in LEMON. |
386 | 491 |
*/ |
387 | 492 |
|
388 | 493 |
/** |
389 | 494 |
@defgroup lp_group Lp and Mip Solvers |
390 | 495 |
@ingroup gen_opt_group |
391 | 496 |
\brief Lp and Mip solver interfaces for LEMON. |
392 | 497 |
|
393 |
This group |
|
498 |
This group contains Lp and Mip solver interfaces for LEMON. The |
|
394 | 499 |
various LP solvers could be used in the same manner with this |
395 | 500 |
interface. |
396 | 501 |
*/ |
397 | 502 |
|
398 | 503 |
/** |
399 | 504 |
@defgroup lp_utils Tools for Lp and Mip Solvers |
... | ... |
@@ -406,13 +511,13 @@ |
406 | 511 |
|
407 | 512 |
/** |
408 | 513 |
@defgroup metah Metaheuristics |
409 | 514 |
@ingroup gen_opt_group |
410 | 515 |
\brief Metaheuristics for LEMON library. |
411 | 516 |
|
412 |
This group |
|
517 |
This group contains some metaheuristic optimization tools. |
|
413 | 518 |
*/ |
414 | 519 |
|
415 | 520 |
/** |
416 | 521 |
@defgroup utils Tools and Utilities |
417 | 522 |
\brief Tools and utilities for programming in LEMON |
418 | 523 |
|
... | ... |
@@ -421,74 +526,90 @@ |
421 | 526 |
|
422 | 527 |
/** |
423 | 528 |
@defgroup gutils Basic Graph Utilities |
424 | 529 |
@ingroup utils |
425 | 530 |
\brief Simple basic graph utilities. |
426 | 531 |
|
427 |
This group |
|
532 |
This group contains some simple basic graph utilities. |
|
428 | 533 |
*/ |
429 | 534 |
|
430 | 535 |
/** |
431 | 536 |
@defgroup misc Miscellaneous Tools |
432 | 537 |
@ingroup utils |
433 | 538 |
\brief Tools for development, debugging and testing. |
434 | 539 |
|
435 |
This group |
|
540 |
This group contains several useful tools for development, |
|
436 | 541 |
debugging and testing. |
437 | 542 |
*/ |
438 | 543 |
|
439 | 544 |
/** |
440 | 545 |
@defgroup timecount Time Measuring and Counting |
441 | 546 |
@ingroup misc |
442 | 547 |
\brief Simple tools for measuring the performance of algorithms. |
443 | 548 |
|
444 |
This group |
|
549 |
This group contains simple tools for measuring the performance |
|
445 | 550 |
of algorithms. |
446 | 551 |
*/ |
447 | 552 |
|
448 | 553 |
/** |
449 | 554 |
@defgroup exceptions Exceptions |
450 | 555 |
@ingroup utils |
451 | 556 |
\brief Exceptions defined in LEMON. |
452 | 557 |
|
453 |
This group |
|
558 |
This group contains the exceptions defined in LEMON. |
|
454 | 559 |
*/ |
455 | 560 |
|
456 | 561 |
/** |
457 | 562 |
@defgroup io_group Input-Output |
458 | 563 |
\brief Graph Input-Output methods |
459 | 564 |
|
460 |
This group |
|
565 |
This group contains the tools for importing and exporting graphs |
|
461 | 566 |
and graph related data. Now it supports the \ref lgf-format |
462 | 567 |
"LEMON Graph Format", the \c DIMACS format and the encapsulated |
463 | 568 |
postscript (EPS) format. |
464 | 569 |
*/ |
465 | 570 |
|
466 | 571 |
/** |
467 |
@defgroup lemon_io LEMON |
|
572 |
@defgroup lemon_io LEMON Graph Format |
|
468 | 573 |
@ingroup io_group |
469 | 574 |
\brief Reading and writing LEMON Graph Format. |
470 | 575 |
|
471 |
This group |
|
576 |
This group contains methods for reading and writing |
|
472 | 577 |
\ref lgf-format "LEMON Graph Format". |
473 | 578 |
*/ |
474 | 579 |
|
475 | 580 |
/** |
476 | 581 |
@defgroup eps_io Postscript Exporting |
477 | 582 |
@ingroup io_group |
478 | 583 |
\brief General \c EPS drawer and graph exporter |
479 | 584 |
|
480 |
This group |
|
585 |
This group contains general \c EPS drawing methods and special |
|
481 | 586 |
graph exporting tools. |
482 | 587 |
*/ |
483 | 588 |
|
484 | 589 |
/** |
590 |
@defgroup dimacs_group DIMACS format |
|
591 |
@ingroup io_group |
|
592 |
\brief Read and write files in DIMACS format |
|
593 |
|
|
594 |
Tools to read a digraph from or write it to a file in DIMACS format data. |
|
595 |
*/ |
|
596 |
|
|
597 |
/** |
|
598 |
@defgroup nauty_group NAUTY Format |
|
599 |
@ingroup io_group |
|
600 |
\brief Read \e Nauty format |
|
601 |
|
|
602 |
Tool to read graphs from \e Nauty format data. |
|
603 |
*/ |
|
604 |
|
|
605 |
/** |
|
485 | 606 |
@defgroup concept Concepts |
486 | 607 |
\brief Skeleton classes and concept checking classes |
487 | 608 |
|
488 |
This group |
|
609 |
This group contains the data/algorithm skeletons and concept checking |
|
489 | 610 |
classes implemented in LEMON. |
490 | 611 |
|
491 | 612 |
The purpose of the classes in this group is fourfold. |
492 | 613 |
|
493 | 614 |
- These classes contain the documentations of the %concepts. In order |
494 | 615 |
to avoid document multiplications, an implementation of a concept |
... | ... |
@@ -512,39 +633,40 @@ |
512 | 633 |
|
513 | 634 |
/** |
514 | 635 |
@defgroup graph_concepts Graph Structure Concepts |
515 | 636 |
@ingroup concept |
516 | 637 |
\brief Skeleton and concept checking classes for graph structures |
517 | 638 |
|
518 |
This group |
|
639 |
This group contains the skeletons and concept checking classes of LEMON's |
|
519 | 640 |
graph structures and helper classes used to implement these. |
520 | 641 |
*/ |
521 | 642 |
|
522 | 643 |
/** |
523 | 644 |
@defgroup map_concepts Map Concepts |
524 | 645 |
@ingroup concept |
525 | 646 |
\brief Skeleton and concept checking classes for maps |
526 | 647 |
|
527 |
This group |
|
648 |
This group contains the skeletons and concept checking classes of maps. |
|
528 | 649 |
*/ |
529 | 650 |
|
530 | 651 |
/** |
531 | 652 |
\anchor demoprograms |
532 | 653 |
|
533 |
@defgroup demos Demo |
|
654 |
@defgroup demos Demo Programs |
|
534 | 655 |
|
535 | 656 |
Some demo programs are listed here. Their full source codes can be found in |
536 | 657 |
the \c demo subdirectory of the source tree. |
537 | 658 |
|
538 |
It order to compile them, use <tt>--enable-demo</tt> configure option when |
|
539 |
build the library. |
|
659 |
In order to compile them, use the <tt>make demo</tt> or the |
|
660 |
<tt>make check</tt> commands. |
|
540 | 661 |
*/ |
541 | 662 |
|
542 | 663 |
/** |
543 |
@defgroup tools Standalone |
|
664 |
@defgroup tools Standalone Utility Applications |
|
544 | 665 |
|
545 | 666 |
Some utility applications are listed here. |
546 | 667 |
|
547 | 668 |
The standard compilation procedure (<tt>./configure;make</tt>) will compile |
548 | 669 |
them, as well. |
549 | 670 |
*/ |
550 | 671 |
|
672 |
} |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
... | ... |
@@ -20,14 +20,13 @@ |
20 | 20 |
\mainpage LEMON Documentation |
21 | 21 |
|
22 | 22 |
\section intro Introduction |
23 | 23 |
|
24 | 24 |
\subsection whatis What is LEMON |
25 | 25 |
|
26 |
LEMON stands for |
|
27 |
<b>L</b>ibrary of <b>E</b>fficient <b>M</b>odels |
|
26 |
LEMON stands for <b>L</b>ibrary for <b>E</b>fficient <b>M</b>odeling |
|
28 | 27 |
and <b>O</b>ptimization in <b>N</b>etworks. |
29 | 28 |
It is a C++ template |
30 | 29 |
library aimed at combinatorial optimization tasks which |
31 | 30 |
often involve in working |
32 | 31 |
with graphs. |
33 | 32 |
|
... | ... |
@@ -38,24 +37,15 @@ |
38 | 37 |
non-commercial applications under very permissive |
39 | 38 |
\ref license "license terms". |
40 | 39 |
</b> |
41 | 40 |
|
42 | 41 |
\subsection howtoread How to read the documentation |
43 | 42 |
|
44 |
If you want to get a quick start and see the most important features then |
|
45 |
take a look at our \ref quicktour |
|
46 |
|
|
43 |
If you would like to get to know the library, see |
|
44 |
<a class="el" href="http://lemon.cs.elte.hu/pub/tutorial/">LEMON Tutorial</a>. |
|
47 | 45 |
|
48 |
If you already feel like using our library, see the page that tells you |
|
49 |
\ref getstart "How to start using LEMON". |
|
50 |
|
|
51 |
If you |
|
52 |
want to see how LEMON works, see |
|
53 |
some \ref demoprograms "demo programs". |
|
54 |
|
|
55 |
If you know what you are looking for then try to find it under the |
|
56 |
<a class="el" href="modules.html">Modules</a> |
|
57 |
section. |
|
46 |
If you know what you are looking for, then try to find it under the |
|
47 |
<a class="el" href="modules.html">Modules</a> section. |
|
58 | 48 |
|
59 | 49 |
If you are a user of the old (0.x) series of LEMON, please check out the |
60 | 50 |
\ref migration "Migration Guide" for the backward incompatibilities. |
61 | 51 |
*/ |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
... | ... |
@@ -22,13 +22,13 @@ |
22 | 22 |
\page migration Migration from the 0.x Series |
23 | 23 |
|
24 | 24 |
This guide gives an in depth description on what has changed compared |
25 | 25 |
to the 0.x release series. |
26 | 26 |
|
27 | 27 |
Many of these changes adjusted automatically by the |
28 |
<tt> |
|
28 |
<tt>lemon-0.x-to-1.x.sh</tt> tool. Those requiring manual |
|
29 | 29 |
update are typeset <b>boldface</b>. |
30 | 30 |
|
31 | 31 |
\section migration-graph Graph Related Name Changes |
32 | 32 |
|
33 | 33 |
- \ref concepts::Digraph "Directed graphs" are called \c Digraph and |
34 | 34 |
they have <tt>Arc</tt>s (instead of <tt>Edge</tt>s), while |
... | ... |
@@ -50,15 +50,17 @@ |
50 | 50 |
(instead of <tt>source()</tt> and <tt>target()</tt>). This change |
51 | 51 |
must be done by hand.</b> |
52 | 52 |
\n Of course, you can still use <tt>source()</tt> and <tt>target()</tt> |
53 | 53 |
for <tt>Arc</tt>s (directed edges). |
54 | 54 |
|
55 | 55 |
\warning |
56 |
<b>The <tt>script/lemon-0.x-to-1.x.sh</tt> tool replaces all instances of |
|
57 |
the words \c graph, \c digraph, \c edge and \c arc, so it replaces them |
|
58 |
|
|
56 |
<b>The <tt>lemon-0.x-to-1.x.sh</tt> script replaces the words \c graph, |
|
57 |
\c ugraph, \c edge and \c uedge in your own identifiers and in |
|
58 |
strings, comments etc. as well as in all LEMON specific identifiers. |
|
59 |
So use the script carefully and make a backup copy of your source files |
|
60 |
before applying the script to them.</b> |
|
59 | 61 |
|
60 | 62 |
\section migration-lgf LGF tools |
61 | 63 |
- The \ref lgf-format "LGF file format" has changed, |
62 | 64 |
<tt>\@nodeset</tt> has changed to <tt>\@nodes</tt>, |
63 | 65 |
<tt>\@edgeset</tt> and <tt>\@uedgeset</tt> to <tt>\@arcs</tt> or |
64 | 66 |
<tt>\@edges</tt>, which become completely equivalents. The |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
2 | 2 |
* |
3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
4 | 4 |
* |
5 |
* Copyright (C) 2003- |
|
5 |
* Copyright (C) 2003-2009 |
|
6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
8 | 8 |
* |
9 | 9 |
* Permission to use, modify and distribute this software is granted |
10 | 10 |
* provided that this copyright notice appears in all copies. For |
11 | 11 |
* precise terms see the accompanying LICENSE file. |
1 | 1 |
INCLUDE_DIRECTORIES( |
2 |
${ |
|
2 |
${PROJECT_SOURCE_DIR} |
|
3 | 3 |
${PROJECT_BINARY_DIR} |
4 | 4 |
) |
5 | 5 |
|
6 | 6 |
CONFIGURE_FILE( |
7 | 7 |
${CMAKE_CURRENT_SOURCE_DIR}/config.h.cmake |
8 | 8 |
${CMAKE_CURRENT_BINARY_DIR}/config.h |
9 | 9 |
) |
10 | 10 |
|
11 |
|
|
11 |
SET(LEMON_SOURCES |
|
12 | 12 |
arg_parser.cc |
13 | 13 |
base.cc |
14 | 14 |
color.cc |
15 |
lp_base.cc |
|
16 |
lp_skeleton.cc |
|
15 | 17 |
random.cc |
16 | 18 |
bits/windows.cc |
17 | 19 |
) |
18 | 20 |
|
21 |
IF(LEMON_HAVE_GLPK) |
|
22 |
SET(LEMON_SOURCES ${LEMON_SOURCES} glpk.cc) |
|
23 |
INCLUDE_DIRECTORIES(${GLPK_INCLUDE_DIRS}) |
|
24 |
IF(WIN32) |
|
25 |
INSTALL(FILES ${GLPK_BIN_DIR}/glpk.dll DESTINATION bin) |
|
26 |
INSTALL(FILES ${GLPK_BIN_DIR}/libltdl3.dll DESTINATION bin) |
|
27 |
INSTALL(FILES ${GLPK_BIN_DIR}/zlib1.dll DESTINATION bin) |
|
28 |
ENDIF() |
|
29 |
ENDIF() |
|
30 |
|
|
31 |
IF(LEMON_HAVE_CPLEX) |
|
32 |
SET(LEMON_SOURCES ${LEMON_SOURCES} cplex.cc) |
|
33 |
INCLUDE_DIRECTORIES(${CPLEX_INCLUDE_DIRS}) |
|
34 |
ENDIF() |
|
35 |
|
|
36 |
IF(LEMON_HAVE_CLP) |
|
37 |
SET(LEMON_SOURCES ${LEMON_SOURCES} clp.cc) |
|
38 |
INCLUDE_DIRECTORIES(${COIN_INCLUDE_DIRS}) |
|
39 |
ENDIF() |
|
40 |
|
|
41 |
IF(LEMON_HAVE_CBC) |
|
42 |
SET(LEMON_SOURCES ${LEMON_SOURCES} cbc.cc) |
|
43 |
INCLUDE_DIRECTORIES(${COIN_INCLUDE_DIRS}) |
|
44 |
ENDIF() |
|
45 |
|
|
46 |
ADD_LIBRARY(lemon ${LEMON_SOURCES}) |
|
47 |
IF(UNIX) |
|
48 |
SET_TARGET_PROPERTIES(lemon PROPERTIES OUTPUT_NAME emon) |
|
49 |
ENDIF() |
|
50 |
|
|
19 | 51 |
INSTALL( |
20 | 52 |
TARGETS lemon |
21 | 53 |
ARCHIVE DESTINATION lib |
22 |
COMPONENT library |
|
54 |
COMPONENT library |
|
55 |
) |
|
23 | 56 |
|
24 | 57 |
INSTALL( |
25 | 58 |
DIRECTORY . bits concepts |
26 | 59 |
DESTINATION include/lemon |
27 | 60 |
COMPONENT headers |
28 |
FILES_MATCHING PATTERN "*.h" |
|
61 |
FILES_MATCHING PATTERN "*.h" |
|
62 |
) |
|
29 | 63 |
|
30 | 64 |
INSTALL( |
31 | 65 |
FILES ${CMAKE_CURRENT_BINARY_DIR}/config.h |
32 | 66 |
DESTINATION include/lemon |
33 |
COMPONENT headers |
|
67 |
COMPONENT headers |
|
68 |
) |
1 | 1 |
EXTRA_DIST += \ |
2 | 2 |
lemon/lemon.pc.in \ |
3 |
lemon/CMakeLists.txt |
|
3 |
lemon/CMakeLists.txt \ |
|
4 |
lemon/config.h.cmake |
|
4 | 5 |
|
5 | 6 |
pkgconfig_DATA += lemon/lemon.pc |
6 | 7 |
|
7 | 8 |
lib_LTLIBRARIES += lemon/libemon.la |
8 | 9 |
|
9 | 10 |
lemon_libemon_la_SOURCES = \ |
10 |
lemon/arg_parser.cc \ |
|
11 |
lemon/base.cc \ |
|
12 |
lemon/color.cc \ |
|
13 |
lemon/random.cc \ |
|
11 |
lemon/arg_parser.cc \ |
|
12 |
lemon/base.cc \ |
|
13 |
lemon/color.cc \ |
|
14 |
lemon/lp_base.cc \ |
|
15 |
lemon/lp_skeleton.cc \ |
|
16 |
lemon/random.cc \ |
|
14 | 17 |
lemon/bits/windows.cc |
15 | 18 |
|
16 |
#lemon_libemon_la_CXXFLAGS = $(GLPK_CFLAGS) $(CPLEX_CFLAGS) $(SOPLEX_CXXFLAGS) |
|
17 |
#lemon_libemon_la_LDFLAGS = $(GLPK_LIBS) $(CPLEX_LIBS) $(SOPLEX_LIBS) |
|
19 |
nodist_lemon_HEADERS = lemon/config.h |
|
18 | 20 |
|
19 |
|
|
21 |
lemon_libemon_la_CXXFLAGS = \ |
|
22 |
$(AM_CXXFLAGS) \ |
|
23 |
$(GLPK_CFLAGS) \ |
|
24 |
$(CPLEX_CFLAGS) \ |
|
25 |
$(SOPLEX_CXXFLAGS) \ |
|
26 |
$(CLP_CXXFLAGS) \ |
|
27 |
$(CBC_CXXFLAGS) |
|
28 |
|
|
29 |
lemon_libemon_la_LDFLAGS = \ |
|
30 |
$(GLPK_LIBS) \ |
|
31 |
$(CPLEX_LIBS) \ |
|
32 |
$(SOPLEX_LIBS) \ |
|
33 |
$(CLP_LIBS) \ |
|
34 |
$(CBC_LIBS) |
|
35 |
|
|
36 |
if HAVE_GLPK |
|
37 |
lemon_libemon_la_SOURCES += lemon/glpk.cc |
|
38 |
endif |
|
39 |
|
|
40 |
if HAVE_CPLEX |
|
41 |
lemon_libemon_la_SOURCES += lemon/cplex.cc |
|
42 |
endif |
|
43 |
|
|
44 |
if HAVE_SOPLEX |
|
45 |
lemon_libemon_la_SOURCES += lemon/soplex.cc |
|
46 |
endif |
|
47 |
|
|
48 |
if HAVE_CLP |
|
49 |
lemon_libemon_la_SOURCES += lemon/clp.cc |
|
50 |
endif |
|
51 |
|
|
52 |
if HAVE_CBC |
|
53 |
lemon_libemon_la_SOURCES += lemon/cbc.cc |
|
54 |
endif |
|
20 | 55 |
|
21 | 56 |
lemon_HEADERS += \ |
22 |
|
|
57 |
lemon/adaptors.h \ |
|
58 |
lemon/arg_parser.h \ |
|
23 | 59 |
lemon/assert.h \ |
24 |
lemon/bfs.h \ |
|
25 |
lemon/bin_heap.h \ |
|
26 |
|
|
60 |
lemon/bfs.h \ |
|
61 |
lemon/bin_heap.h \ |
|
62 |
lemon/bucket_heap.h \ |
|
63 |
lemon/cbc.h \ |
|
64 |
lemon/circulation.h \ |
|
65 |
lemon/clp.h \ |
|
66 |
lemon/color.h \ |
|
27 | 67 |
lemon/concept_check.h \ |
28 |
|
|
68 |
lemon/connectivity.h \ |
|
69 |
lemon/counter.h \ |
|
29 | 70 |
lemon/core.h \ |
30 |
lemon/dfs.h \ |
|
31 |
lemon/dijkstra.h \ |
|
32 |
|
|
71 |
lemon/cplex.h \ |
|
72 |
lemon/dfs.h \ |
|
73 |
lemon/dijkstra.h \ |
|
74 |
lemon/dim2.h \ |
|
75 |
lemon/dimacs.h \ |
|
76 |
lemon/edge_set.h \ |
|
77 |
lemon/elevator.h \ |
|
33 | 78 |
lemon/error.h \ |
34 |
|
|
79 |
lemon/euler.h \ |
|
80 |
lemon/fib_heap.h \ |
|
81 |
lemon/full_graph.h \ |
|
82 |
lemon/glpk.h \ |
|
83 |
lemon/gomory_hu.h \ |
|
84 |
lemon/graph_to_eps.h \ |
|
85 |
lemon/grid_graph.h \ |
|
86 |
lemon/hypercube_graph.h \ |
|
35 | 87 |
lemon/kruskal.h \ |
88 |
lemon/hao_orlin.h \ |
|
36 | 89 |
lemon/lgf_reader.h \ |
37 | 90 |
lemon/lgf_writer.h \ |
38 | 91 |
lemon/list_graph.h \ |
92 |
lemon/lp.h \ |
|
93 |
lemon/lp_base.h \ |
|
94 |
lemon/lp_skeleton.h \ |
|
95 |
lemon/list_graph.h \ |
|
39 | 96 |
lemon/maps.h \ |
97 |
lemon/matching.h \ |
|
40 | 98 |
lemon/math.h \ |
99 |
lemon/min_cost_arborescence.h \ |
|
100 |
lemon/nauty_reader.h \ |
|
101 |
lemon/network_simplex.h \ |
|
41 | 102 |
lemon/path.h \ |
42 |
|
|
103 |
lemon/preflow.h \ |
|
104 |
lemon/radix_heap.h \ |
|
105 |
lemon/radix_sort.h \ |
|
106 |
lemon/random.h \ |
|
43 | 107 |
lemon/smart_graph.h \ |
44 |
lemon/time_measure.h \ |
|
45 |
lemon/tolerance.h \ |
|
108 |
lemon/soplex.h \ |
|
109 |
lemon/suurballe.h \ |
|
110 |
lemon/time_measure.h \ |
|
111 |
lemon/tolerance.h \ |
|
46 | 112 |
lemon/unionfind.h \ |
47 | 113 |
lemon/bits/windows.h |
48 | 114 |
|
49 | 115 |
bits_HEADERS += \ |
50 | 116 |
lemon/bits/alteration_notifier.h \ |
51 | 117 |
lemon/bits/array_map.h \ |
52 |
lemon/bits/base_extender.h \ |
|
53 |
lemon/bits/bezier.h \ |
|
118 |
lemon/bits/bezier.h \ |
|
54 | 119 |
lemon/bits/default_map.h \ |
55 |
|
|
120 |
lemon/bits/edge_set_extender.h \ |
|
121 |
lemon/bits/enable_if.h \ |
|
122 |
lemon/bits/graph_adaptor_extender.h \ |
|
56 | 123 |
lemon/bits/graph_extender.h \ |
57 | 124 |
lemon/bits/map_extender.h \ |
58 | 125 |
lemon/bits/path_dump.h \ |
126 |
lemon/bits/solver_bits.h \ |
|
59 | 127 |
lemon/bits/traits.h \ |
128 |
lemon/bits/variant.h \ |
|
60 | 129 |
lemon/bits/vector_map.h |
61 | 130 |
|
62 | 131 |
concept_HEADERS += \ |
63 | 132 |
lemon/concepts/digraph.h \ |
64 | 133 |
lemon/concepts/graph.h \ |
65 | 134 |
lemon/concepts/graph_components.h \ |
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