Version 5.0 The LEDA User Manual

More documents

Recommendations

Info

distinct representatives and linear algebra, Journal of Research of the Bureau of National Standards, (B), 71, 241 - 245). Most functions of linear algebra are checkable , i.e., the programs can be asked for a proof that their output is correct. For example, if the linear system solver declares a linear system Ax = b unsolvable it also returns a vector c such that c T A = 0 and c T b ≠ 0.
5.14 Rational Vectors ( rat vector ) 1. Definition An instance of data type rat vector is a vector of rational numbers. A d-dimensional vector r = (r 0 , . . . , r d−1 ) is represented in homogeneous coordinates (h 0 , . . . , h d ), where r i = h i /h d and the h i ’s are of type integer. We call the r i ’s the cartesian coordinates of the vector. The homogenizing coordinate h d is positive. This data type is meant for use in computational geometry. It realizes free vectors as opposed to position vectors (type rat point). The main difference between position vectors and free vectors is their behavior under affine transformations, e.g., free vectors are invariant under translations. rat vector is an item type. #include < LEDA/numbers/rat vector.h > 2. Creation rat vector v(int d = 2); introduces a variable v of type rat vector initialized to the zero vector of dimension d. rat vector v(integer a, integer b, integer D); introduces a variable v of type rat vector initialized to the two-dimensional vector with homogeneous representation (a, b, D) if D is positive and representation (−a, −b, −D) if D is negative. Precondition: D is non-zero. rat vector rat vector rat vector v(rational x, rational y); introduces a variable v of type rat vector initialized to the two-dimensional vector with homogeneous representation (a, b, D), where x = a/D and y = b/D. v(integer a, integer b, integer c, integer D); v(rational x, rational y, rational z); introduces a variable v of type rat vector initialized to the three-dimensional vector with homogeneous representation (a, b, c, D) if D is positive and representation (−a, −b, −c, −D) if D is negative. Precondition: D is non-zero. introduces a variable v of type rat vector initialized to the three-dimensional vector with homogeneous representation (a, b, c, D), where x = a/D, y = b/D and z = c/D.
Page 1:
Version 5.0 The LEDA User Manual Al
Page 4 and 5:
4.14 Socket Streambuffer ( socket s
Page 6 and 7:
9.11 Move-To-Front Coder II ( MTF2C
Page 8 and 9:
13.1.2 Handles and Iterators . . .
Page 10 and 11:
16.7 Simplices in 3D-Space ( d3 sim
Page 13:
License Terms and Availability Any
Page 16 and 17:
7. LEDA is available from Algorithm
Page 19 and 20:
Chapter 2 Basics An extended versio
Page 21 and 22:
XYZ y(x1, ... ,xt); ,tk > and uses
Page 23 and 24:
2.3.1 Linear Orders Many data types
Page 25 and 26:
dictionary D0; // default ordering
Page 27 and 28:
2.3.3 Implementation Parameters Man
Page 29 and 30:
lookup returned the location where
Page 31:
list::iterator defines the iterator
Page 34 and 35:
• internal (LEDA/incl/internal/)
Page 36 and 37:
string s(const char ∗ p); string
Page 38 and 39:
ool bool bool bool istream& ostream
Page 40 and 41:
string buffer, i.e., all output ope
Page 42 and 43:
andom source& S ≫ char& x random
Page 44 and 45:
int R.set weight(int i, int g) sets
Page 46 and 47:
4.10 Memory Allocator ( leda alloca
Page 48 and 49:
4.11 Error Handling ( error ) LEDA
Page 50 and 51:
4.12 Files and Directories ( file )
Page 52 and 53:
4.13 Sockets ( leda socket ) 1. Def
Page 54 and 55:
ool S.receive string(string& s) rec
Page 56 and 57:
ool sb.failed( ) returns whether a
Page 58 and 59:
4.15 Some Useful Functions ( misc )
Page 60 and 61:
4.16 Timer ( timer ) 1. Definition
Page 62 and 63:
unsigned fibonacci(unsigned n) { st
Page 64 and 65:
unsigned fibonacci(unsigned n) { st
Page 66 and 67: int Hash(const two tuple& p) hash f
Page 68 and 69: 3. Creation four tuple p; creates a
Page 70 and 71: 4.21 A date interface ( date ) 1. D
Page 72 and 73: 3. Creation date D; creates an inst
Page 74 and 75: string D.get month name( ) returns
Page 76 and 77: Now we show an example in which dif
Page 78 and 79: integer integer a(const char ∗ s)
Page 80 and 81: 5.2 Rational Numbers ( rational ) 1
Page 82 and 83: 5.3 The data type bigfloat ( bigflo
Page 84 and 85: ounding modes bigfloat :: get round
Page 86 and 87: ostream& ostream& os ≪ const bigf
Page 88 and 89: double x.get double error( ) bigflo
Page 90 and 91: int int real roots(const Polynomial
Page 92 and 93: √ y v = b 1 c 2 + b 2 c 1 ± sign
Page 94 and 95: 5.5 Interval Arithmetic in LEDA ( i
Page 96 and 97: void x.set midpoint(VOLATILE I doub
Page 98 and 99: 5.7 The mod kernel of type residual
Page 100 and 101: int residual :: required primetable
Page 102 and 103: 5.9 A Floating Point Filter ( float
Page 104 and 105: 5.10 Double-Valued Vectors ( vector
Page 106 and 107: double v.zcoord( ) returns the seco
Page 108 and 109: matrix matrix matrix vector M + con
Page 110 and 111: 5.12 Vectors with Integer Entries (
Page 112 and 113: 5.13 Matrices with Integer Entries
Page 114 and 115: integer matrix inverse(const intege
Page 118 and 119: at vector v(const array& A); introd
Page 120 and 121: int compare by angle(const rat vect
Page 122 and 123: 5.15 Real-Valued Vectors ( real vec
Page 124 and 125: int compare by angle(const real vec
Page 126 and 127: eal matrix M + const real matrix& M
Page 128 and 129: 5.17.2 Integration double integrate
Page 130 and 131: array A(int low, const E& x, const
Page 132 and 133: int A.binary locate(int (∗cmp)(co
Page 134 and 135: 6.3 Stacks ( stack ) 1. Definition
Page 136 and 137: 6.5 Bounded Stacks ( b stack ) 1. D
Page 138 and 139: 6.7 Linear Lists ( list ) 1. Defini
Page 140 and 141: const E& L.pop front( ) same as L.p
Page 142 and 143: Sorting and Searching void L.sort(i
Page 144 and 145: Input and Output void L.read(istrea
Page 146 and 147: 6.8 Singly Linked Lists ( slist ) 1
Page 148 and 149: 6.9 Sets ( set ) 1. Definition An i
Page 150 and 151: 4. Implementation Sets are implemen
Page 152 and 153: int set S | const int set& T return
Page 154 and 155: d int set S − const d int set& T
Page 156 and 157: 6.12 Partitions ( partition ) 1. De
Page 158 and 159: 6.13 Parameterized Partitions ( Par
Page 160 and 161: void D.evert(vertex v) makes v the
Page 162 and 163: 4. Implementation Dynamic collectio
Page 164 and 165: dictionary D(int (∗cmp)(const K&
Page 166 and 167:
7.2 Dictionary Arrays ( d array ) 1
Page 168 and 169:
{ d_array dic; dic["hello"] = "hall
Page 170 and 171:
ool A.empty( ) returns true if A is
Page 172 and 173:
Note that it is not possible to ite
Page 174 and 175:
void M.clear( ) clears M by making
Page 176 and 177:
p dictionary D.change inf(p dic ite
Page 178 and 179:
void D.del(const K& k) deletes the
Page 180 and 181:
3. Creation sortseq S; creates an i
Page 182 and 183:
seq item S.max item( ) returns the
Page 184 and 185:
Iteration forall items(it, S) { “
Page 187 and 188:
Chapter 8 Priority Queues 8.1 Prior
Page 189 and 190:
6. Example Dijkstra’s Algorithm (
Page 191:
int Q.size( ) returns the size of Q
Page 194 and 195:
Assume that you want to send the fi
Page 196 and 197:
9.1 Adaptive Arithmetic Coder ( A0C
Page 198 and 199:
uint32 C.get scale threshold( ) uin
Page 200 and 201:
uint32 C.decode memory chunk(const
Page 202 and 203:
3. Creation PPMIICoder C(streambuf
Page 204 and 205:
9.4 Deflation/Inflation Coder ( Def
Page 206 and 207:
void C.set compression level(int le
Page 208 and 209:
void void C.set src stream(streambu
Page 210 and 211:
streambuf ∗ C.get src stream( ) r
Page 212 and 213:
streambuf ∗ C.get src stream( ) r
Page 214 and 215:
uint32 C.decode memory chunk(const
Page 216 and 217:
uint32 C.encode memory chunk(const
Page 218 and 219:
9.10 Move-To-Front Coder ( MTFCoder
Page 220 and 221:
9.11 Move-To-Front Coder II ( MTF2C
Page 222 and 223:
9.12 RLE for Runs of Zero ( RLE0Cod
Page 224 and 225:
9.13 Checksummers ( checksummer bas
Page 226 and 227:
ool C.checksum is valid( ) returns
Page 228 and 229:
9.19 Encoding Output Stream ( encod
Page 230 and 231:
ostream& os.seekp(streamoff off , i
Page 232 and 233:
9.23 Coder Pipes ( CoderPipe2 ) 1.
Page 234 and 235:
void C.set coder1(Coder1 ∗ c1 , b
Page 236 and 237:
void void C.set src stream(streambu
Page 238 and 239:
3. Operations Standard Operations v
Page 240 and 241:
string out_file1 = tmp_file_name(),
Page 242 and 243:
void mb.truncate(streamsize n) also
Page 244 and 245:
e able to change your message witho
Page 246 and 247:
Then you can use the CryptAutoDecod
Page 248 and 249:
10.1 Secure Byte String ( CryptByte
Page 250 and 251:
CryptKey k(const byte ∗ bytes, ui
Page 252 and 253:
10.3 Encryption and Decryption with
Page 254 and 255:
10.4 Example for a Stream-Cipher (
Page 256 and 257:
uint16 void C.get accepted key size
Page 258 and 259:
3. Operations Standard Operations v
Page 260 and 261:
10.6 Automatic Decoder supporting C
Page 262 and 263:
void C.add keys in file(const char
Page 264 and 265:
secure socket streambuf sb(leda soc
Page 267 and 268:
Chapter 11 Graphs and Related Data
Page 269 and 270:
2. Creation graph G; creates an obj
Page 271 and 272:
edge G.first in edge(node v) return
Page 273 and 274:
void G.hide node(node v) removes no
Page 275 and 276:
void G.bucket sort nodes(int l, int
Page 277 and 278:
edge G.new map edge(edge e1 , edge
Page 279 and 280:
edge edge edge G.new edge(node v, e
Page 281 and 282:
void void G.print(string s, ostream
Page 283 and 284:
graph algorithms, i.e., algorithms
Page 285 and 286:
void void G.sort nodes(const list&
Page 287 and 288:
• Opposite Graphs (opposite graph
Page 289 and 290:
4. Operations The interface consist
Page 291 and 292:
int main () { static_graph G; array
Page 293 and 294:
3. Implementation see section 11.2.
Page 295 and 296:
list M.triangulate( ) triangulates
Page 297 and 298:
void M.assign(face f, const ftype&
Page 299 and 300:
void A.init(const graph t& G, int n
Page 301 and 302:
Page 303 and 304:
Page 305 and 306:
ool M.use node data(const graph t&
Page 307 and 308:
ool M.use edge data(const graph t&
Page 309 and 310:
E& M[face f] returns the variable M
Page 311 and 312:
4. Implementation Node matrices for
Page 313 and 314:
4. Implementation Node maps are imp
Page 315 and 316:
11.17 Sets of Edges ( edge set ) 1.
Page 317 and 318:
node L.cyclic pred(node v) returns
Page 319 and 320:
11.20 Node Priority Queues ( node p
Page 321 and 322:
11.21 Bounded Node Priority Queues
Page 323 and 324:
11.22 Graph Generators ( graph gen
Page 325 and 326:
uedges. For n > 3, a random maximal
Page 327 and 328:
void random planar graph(graph& G,
Page 329 and 330:
ool Is Bidirected(const graph& G) r
Page 331 and 332:
list Delete Loops(graph& G) returns
Page 333 and 334:
11.25 Dynamic Markov Chains ( dynam
Page 335 and 336:
has a source and a target. These ar
Page 337 and 338:
void parser.append(const char ∗ k
Page 339:
11.27 The LEDA graph input/output f
Page 342 and 343:
arithmetic demand for each function
Page 344 and 345:
GRAPH TRANSITIVE CLOSURE(const gra
Page 346 and 347:
template bool SHORTEST PATH T(cons
Page 348 and 349:
template bool ALL PAIRS SHORTEST P
Page 350 and 351:
The algorithms have the following a
Page 352 and 353:
inline NT MAX FLOW GRH T(const grap
Page 354 and 355:
12.5 Minimum Cut ( min cut ) A cut
Page 356 and 357:
that the bipartition (A, B) is give
Page 358 and 359:
The pre-instantiations for number t
Page 360 and 361:
template bool CHECK MIN WEIGHT ASS
Page 362 and 363:
in general graph. You may skip the
Page 364 and 365:
Worst-Case Running Time: All functi
Page 366 and 367:
list MIN WEIGHT PERFECT MATCHING T(
Page 368 and 369:
12.10 Stable Matching ( stable matc
Page 370 and 371:
12.11 Minimum Spanning Trees ( min
Page 372 and 373:
12.13 Algorithms for Planar Graphs
Page 374 and 375:
ool bool Is CCW Ordered(const graph
Page 376 and 377:
ool void void void TUTTE EMBEDDING(
Page 379 and 380:
Chapter 13 Graphs and Iterators 13.
Page 381 and 382:
The purpose of each iterator is the
Page 383 and 384:
template void set_and_check (graph
Page 385 and 386:
In addition to the algorithm mentio
Page 387 and 388:
13.3 Edge Iterators ( EdgeIt ) 1. D
Page 389 and 390:
#include < LEDA/graph/graph iterato
Page 391 and 392:
OutAdjIt OutAdjIt OutAdjIt it(const
Page 393 and 394:
OutAdjIt& −−it performs one ste
Page 395 and 396:
ool it.eol( ) returns !it.valid( )
Page 397 and 398:
void it.del( ) deletes the marked l
Page 399 and 400:
3. Operations void fc.init(const le
Page 401 and 402:
We would have to write something li
Page 403 and 404:
Equal is a class that compares two
Page 405 and 406:
used only as a “Trojan horse,”
Page 407 and 408:
typename DataAccessor :: value type
Page 409 and 410:
13.14 Constant Accessors ( constant
Page 411 and 412:
13.16 Node Attribute Accessors ( no
Page 413 and 414:
GIT BFS< OutAdjIt, Queuetype, Mark
Page 415 and 416:
3. dfs grow depth: a new adjacency
Page 417 and 418:
• indegree stores for every node
Page 419 and 420:
• Mark is a data accessor that ha
Page 421:
OutAdjIt algorithm.curr adj( ) retu
Page 424 and 425:
14.1 Points ( point ) 1. Definition
Page 426 and 427:
point p.reflect(const point& q, con
Page 428 and 429:
ool contained in simplex(const arra
Page 430 and 431:
4. Operations point s.start( ) retu
Page 432 and 433:
segment s.rotate90(const point& q,
Page 434 and 435:
double r.direction( ) returns the d
Page 436 and 437:
14.4 Straight Lines ( line ) 1. Def
Page 438 and 439:
line l.translate(const vector& v) r
Page 440 and 441:
14.5 Circles ( circle ) 1. Definiti
Page 442 and 443:
circle C + const vector& v returns
Page 444 and 445:
14.6 Polygons ( POLYGON ) 1. Defini
Page 446 and 447:
const list& P.segments( ) returns t
Page 448 and 449:
ool P.inside(const POINT & p) bool
Page 450 and 451:
14.7 Generalized Polygons ( GEN POL
Page 452 and 453:
GEN POLYGON GEN POLYGON :: make wea
Page 454 and 455:
int P.side of(const POINT & p) regi
Page 456 and 457:
14.8 Triangles ( triangle ) 1. Defi
Page 458 and 459:
triangle t.rotate90(const point& q,
Page 460 and 461:
double r.height( ) returns the heig
Page 462 and 463:
14.10 Rational Points ( rat point )
Page 464 and 465:
at point p.reflect(const rat point&
Page 466 and 467:
int side of halfspace(const rat poi
Page 468 and 469:
at segment s(const segment& s1 , in
Page 470 and 471:
ational s.y abs( ) returns the y-ab
Page 472 and 473:
14.12 Rational Rays ( rat ray ) 1.
Page 474 and 475:
ool r.contains(const rat segment& s
Page 476 and 477:
void l.normalize( ) simplifies the
Page 478 and 479:
at line p bisector(const rat point&
Page 480 and 481:
at circle C(const circle& c, int pr
Page 482 and 483:
14.15 Rational Triangles ( rat tria
Page 484 and 485:
at triangle t − const rat vector&
Page 486 and 487:
list r.vertices( ) returns the vert
Page 488 and 489:
list r.intersection(const rat recta
Page 490 and 491:
int p.orientation(const real point&
Page 492 and 493:
eal area(const real point& a, const
Page 494 and 495:
14.18 Real Segments ( real segment
Page 496 and 497:
ool s.intersection(const real segme
Page 498 and 499:
14.19 Real Rays ( real ray ) 1. Def
Page 500 and 501:
Non-Member Functions int orientatio
Page 502 and 503:
4. Operations real point l.point1(
Page 504 and 505:
int cmp slopes(const real line& l1
Page 506 and 507:
eal circle C(const circle& c, int p
Page 508 and 509:
ool radical axis(const real circle&
Page 510 and 511:
eal point t.point3( ) returns the t
Page 512 and 513:
14.23 Iso-oriented Real Rectangles
Page 514 and 515:
eal rectangle r.translate(real dx,
Page 516 and 517:
14.24 Geometry Algorithms ( geo alg
Page 518 and 519:
edge TRIANGULATE PLANE MAP(GRAPH &
Page 520 and 521:
gen polygon MINKOWSKI SUM(const pol
Page 522 and 523:
ool MIN WIDTH ANNULUS(const list& L
Page 524 and 525:
double CLOSEST PAIR(list& L, point&
Page 526 and 527:
14.25 Transformation ( TRANSFORM )
Page 528 and 529:
TRANSFORM reflection(const POINT& q
Page 530 and 531:
void random points in unit cube(int
Page 532 and 533:
void random points on unit circle(i
Page 534 and 535:
const rat point& p.to rat point( )
Page 536 and 537:
circle segment cs(const rat circle&
Page 538 and 539:
list cs.intersection(const r circle
Page 540 and 541:
14.29 Polygons with circular edges
Page 542 and 543:
CHECK TYPE P.check simplicity( ) ch
Page 544 and 545:
ool P.inside(const r circle point&
Page 546 and 547:
circle gen polygon P (KIND k); crea
Page 548 and 549:
list P.intersection(const rat line&
Page 550 and 551:
double P.approximate area( ) approx
Page 552 and 553:
const I& D.inf(dic2 item it) return
Page 554 and 555:
15.2 Point Sets and Delaunay Triang
Page 556 and 557:
ool T.is hull edge(edge e) as above
Page 558 and 559:
list T.range search(node v, const P
Page 560 and 561:
15.3 Sets of Intervals ( interval s
Page 562 and 563:
15.4 Sets of Parallel Segments ( se
Page 564 and 565:
15.5 Sets of Parallel Rational Segm
Page 566 and 567:
15.6 Planar Subdivisions ( subdivis
Page 568 and 569:
16.1 Points in 3D-Space ( d3 point
Page 570 and 571:
d3 point midpoint(const d3 point& a
Page 572 and 573:
ool outside sphere(const d3 point&
Page 574 and 575:
ool bool r.project xz(ray& m) if th
Page 576 and 577:
segment s.project xy( ) returns the
Page 578 and 579:
ool l.project(const d3 point& p, co
Page 580 and 581:
double p.sqr dist(const d3 point& q
Page 582 and 583:
16.6 Spheres in 3D-Space ( d3 spher
Page 584 and 585:
16.7 Simplices in 3D-Space ( d3 sim
Page 586 and 587:
16.8 Rational Points in 3D-Space (
Page 588 and 589:
d3 rat point p.translate(const rat
Page 590 and 591:
ool coplanar(const d3 rat point& a,
Page 592 and 593:
d3 rat point random d3 rat point in
Page 594 and 595:
void random d3 rat points on segmen
Page 596 and 597:
ool r.project xy(rat ray& m) bool r
Page 598 and 599:
ool l.project yz(rat line& m) if th
Page 600 and 601:
16.11 Rational Segments in 3D-Space
Page 602 and 603:
d3 rat segment s + const rat vector
Page 604 and 605:
d3 plane p.to float( ) returns a fl
Page 606 and 607:
16.13 Rational Spheres ( d3 rat sph
Page 608 and 609:
16.14 Rational Simplices ( d3 rat s
Page 610 and 611:
16.15 3D Convex Hull Algorithms ( d
Page 613 and 614:
Chapter 17 Graphics This section de
Page 615 and 616:
17.2 Windows ( window ) 1. Definiti
Page 617 and 618:
18. The buttons per line parameter
Page 619 and 620:
void W.display(window& W 0 , int x,
Page 621 and 622:
void W.set show coord object(const
Page 623 and 624:
int W.menu bar height( ) returns th
Page 625 and 626:
void W.draw ray(point p, point q, l
Page 627 and 628:
void W.draw filled ellipse(double x
Page 629 and 630:
void void void void void W.draw rou
Page 631 and 632:
void void void W.draw edge(double x
Page 633 and 634:
void W.screenshot(string fname, boo
Page 635 and 636:
int W.read mouse seg(const point& p
Page 637 and 638:
int W.read event(int& val, double&
Page 639 and 640:
window& W ≫ segment& s reads a se
Page 641 and 642:
panel item W.bool item(string s, bo
Page 643 and 644:
panel item W.int item(string s, int
Page 645 and 646:
int W.button(string s, const char
Page 647 and 648:
int W.button(string s, window& M, c
Page 649 and 650:
void void void W.redraw panel(panel
Page 651 and 652:
17.4 Menues ( menu ) 1. Definition
Page 653 and 654:
17.5 Postscript Files ( ps file ) 1
Page 655 and 656:
shape: the shape of the node (type
Page 657 and 658:
void gw.display(int x, int y) displ
Page 659 and 660:
param type gw.set param(node v, par
Page 661 and 662:
string gw.set edge index format(str
Page 663 and 664:
void void gw.transform layout(node
Page 665 and 666:
int bool bool gw.load layout(istrea
Page 667 and 668:
void void gw.set edge slider handle
Page 669 and 670:
int bool bool bool bool bool bool g
Page 671 and 672:
void gw.restore all attributes( ) .
Page 673 and 674:
6. edge index format format This li
Page 675 and 676:
of GraphWin) are 0 (central pos) 1
Page 677 and 678:
17.7.1 A complete example LEDA.GRAP
Page 679 and 680:
17.8 Geometry Windows ( GeoWin ) 1.
Page 681 and 682:
0 will be drawn on top in the order
Page 683 and 684:
geowin new scene and geowin get obj
Page 685 and 686:
e inserted in the result scene. In
Page 687 and 688:
geo_scene sc_points = gw.new_scene(
Page 689 and 690:
} }; int main() { GeoWin gw; list L
Page 691 and 692:
virtual bool is_running(const GeoWi
Page 693 and 694:
geo scene void int GW.get scene wit
Page 695 and 696:
color GW.get fill color(geo scene s
Page 697 and 698:
void∗ GW.set client data(geo scen
Page 699 and 700:
color GW.set obj color(GeoBaseScene
Page 701 and 702:
template string GW.set obj label(G
Page 703 and 704:
string string GW.get bg pixmap( ) r
Page 705 and 706:
• A DRAG (button not released)
Page 707 and 708:
template bool GW.set post del hand
Page 709 and 710:
geowin_gui_rat_transform geowin_gui
Page 711 and 712:
ool GW.del(geo scenegroup GS , geo
Page 713 and 714:
void GW.set d3 fcn(geo scene sc, vo
Page 715 and 716:
17.9 Windows for 3d visualization (
Page 717 and 718:
int D.move( ) animates the contents
Page 719 and 720:
Chapter 18 Implementations 18.1 Lis
Page 721 and 722:
void clear(); int size() const; };
Page 723:
18.2.3 Sorted Sequences Any class s
Page 726 and 727:
libGeoW is the LEDA library providi
Page 728 and 729:
(b) Type VCVARS32 (VSVARS32). 2. Go
Page 730 and 731:
LEDA MEMORY STD: If this is set, th
Page 732 and 733:
When using graphics on Solaris syst
Page 734 and 735:
(7) Double click on prog.cpp If you
Page 736 and 737:
• extend LIB by Otherwise add ne
Page 738 and 739:
and at least one of the following d
Page 740 and 741:
• Copy leda .dll to the bin\ subd
Page 742 and 743:
Preparations To install LEDA you on
Page 744 and 745:
• libg .lib libl .lib for program
Page 746 and 747:
cl -TP prog.c Programs using grap
Page 748 and 749:
Automatic Setting Include header fi
Page 750 and 751:
The default value is ”/MLd”, al
Page 752 and 753:
2. Windows 95/98: (a) Add the line
Page 754 and 755:
Preparations To install LEDA you on
Page 756 and 757:
A.16 Platforms When this manual was
Page 758 and 759:
(b) For objects x and y of an indep
Page 760 and 761:
A and B are different objects: A ==
Page 762 and 763:
if (p.y > q.y) return 1; return 0;
Page 764 and 765:
partypes={no, yes} Determines how p
Page 766 and 767:
Stacks ( stack ) 1. Definition An i
Page 769 and 770:
Bibliography [1] H. Alt, N. Blum, K
Page 771 and 772:
[31] I. Fary: “On Straight Line R
Page 773 and 774:
[67] M. Mignotte: Mathematics for C
Page 775 and 776:
Index Symbols L A TEX . . . . . . .
Page 777 and 778:
adj nodes(...) graph . . . . . . .
Page 779 and 780:
circle gen polygon . . . . . . . .
Page 781 and 782:
at ray . . . . . . . . . . . . . .
Page 783 and 784:
CBCCoder< BlkCipher > . . . . . . .
Page 785 and 786:
disconnect() leda socket . . . . .
Page 787 and 788:
edges() GEN POLYGON . . . . . . . .
Page 789 and 790:
finger locate pre...(...) sortseq .
Page 791 and 792:
checksummer base . . . . . . . . .
Page 793 and 794:
OMACCoder< BlkCipher > . . . . . .
Page 795 and 796:
get stack() GIT DFS . . . . . . . .
Page 797 and 798:
in pred(...) graph . . . . . . . .
Page 799 and 800:
eal triangle . . . . . . . . . . .
Page 801 and 802:
at segment . . . . . . . . . . . .
Page 803 and 804:
eal rectangle . . . . . . . . . . .
Page 805 and 806:
mw matching . . . . . . . . . . . .
Page 807 and 808:
outdeg(...) graph . . . . . . . . .
Page 809 and 810:
pos(...) POINT SET . . . . . . . .
Page 811 and 812:
eal matrix . . . . . . . . . . . .
Page 813 and 814:
FaceIt . . . . . . . . . . . . . .
Page 815 and 816:
save gw(...) GraphWin . . . . . . .
Page 817 and 818:
set edge index fo...(...) GraphWin
Page 819 and 820:
GeoWin . . . . . . . . . . . . . .
Page 821 and 822:
DeflateCoder . . . . . . . . . . .
Page 823 and 824:
planar map . . . . . . . . . . . .
Page 825 and 826:
d3 rat point . . . . . . . . . . .
Page 827 and 828:
GraphWin . . . . . . . . . . . . .
Page 829 and 830:
at segment . . . . . . . . . . . .
show all

Version 5.0 The LEDA User Manual

Create successful ePaper yourself

Delete template?

Save as template?