Version 5.0 The LEDA User Manual

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secure socket streambuf sb(leda socket& s, const CryptByteString& passphrase, uint32 out buf sz = DefaultBufferSize, uint32 in buf sz = DefaultBufferSize, bool enable compression = false, bool send acknowledge = false); as above, but the same passphrase is used for generating both the authentication and the encryption key. However, it is still guaranteed that two different keys are used. 3. Operations <strong>The</strong> class secure socket streambuf inherits most of its operations from the class streambuf that belongs to the C++ standard library. Usually there is no need to call these operations explicitly. (You can find documentation for streambuf at http://www.cplusplus.com) bool sb.failed( ) returns whether a failure has occured. string sb.get error( ) returns an error message (if available). void sb.sputEOF( ) signals the end of the transmission to the receiving socket, so that it does not wait for further data. (This function is called automatically in the destructor unless it has been called explicitly by the user. If sb is not immediately destroyed after the end of the transmission then you should call sputEOF explicitly, otherwise the receiving party might incur a timeout error.) bool sb.has put EOF( ) returns whether EOF has already been sent. bool sb.has got EOF( ) returns whether EOF has already been received. leda socket& sb.get socket( ) returns the socket to which sb is attached. uint32 sb.get outgoing packet size( ) uint32 sb.get incoming packet size( ) bool sb.uses compression( ) bool sb.waits for acknowledge( ) returns the (actual) outgoing packet size. returns the (actual) incoming packet size. returns whether sb compresses outgoing packets before sending. returns whether sb expects an acknowledgement for outgoing packets.
ool sb.sends acknowledge( ) returns whether sb sends an acknowledgement for incoming packets.
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Version 5.0 The LEDA User Manual Al
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4.14 Socket Streambuffer ( socket s
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9.11 Move-To-Front Coder II ( MTF2C
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13.1.2 Handles and Iterators . . .
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16.7 Simplices in 3D-Space ( d3 sim
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License Terms and Availability Any
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7. LEDA is available from Algorithm
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Chapter 2 Basics An extended versio
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XYZ y(x1, ... ,xt); ,tk > and uses
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2.3.1 Linear Orders Many data types
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dictionary D0; // default ordering
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2.3.3 Implementation Parameters Man
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lookup returned the location where
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list::iterator defines the iterator
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• internal (LEDA/incl/internal/)
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string s(const char ∗ p); string
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ool bool bool bool istream& ostream
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string buffer, i.e., all output ope
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andom source& S ≫ char& x random
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int R.set weight(int i, int g) sets
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4.10 Memory Allocator ( leda alloca
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4.11 Error Handling ( error ) LEDA
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4.12 Files and Directories ( file )
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4.13 Sockets ( leda socket ) 1. Def
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ool S.receive string(string& s) rec
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ool sb.failed( ) returns whether a
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4.15 Some Useful Functions ( misc )
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4.16 Timer ( timer ) 1. Definition
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unsigned fibonacci(unsigned n) { st
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unsigned fibonacci(unsigned n) { st
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int Hash(const two tuple& p) hash f
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3. Creation four tuple p; creates a
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4.21 A date interface ( date ) 1. D
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3. Creation date D; creates an inst
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string D.get month name( ) returns
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Now we show an example in which dif
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integer integer a(const char ∗ s)
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5.2 Rational Numbers ( rational ) 1
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5.3 The data type bigfloat ( bigflo
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ounding modes bigfloat :: get round
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ostream& ostream& os ≪ const bigf
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double x.get double error( ) bigflo
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int int real roots(const Polynomial
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√ y v = b 1 c 2 + b 2 c 1 ± sign
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5.5 Interval Arithmetic in LEDA ( i
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void x.set midpoint(VOLATILE I doub
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5.7 The mod kernel of type residual
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int residual :: required primetable
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5.9 A Floating Point Filter ( float
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5.10 Double-Valued Vectors ( vector
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double v.zcoord( ) returns the seco
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matrix matrix matrix vector M + con
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5.12 Vectors with Integer Entries (
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5.13 Matrices with Integer Entries
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integer matrix inverse(const intege
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distinct representatives and linear
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at vector v(const array& A); introd
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int compare by angle(const rat vect
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5.15 Real-Valued Vectors ( real vec
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int compare by angle(const real vec
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eal matrix M + const real matrix& M
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5.17.2 Integration double integrate
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array A(int low, const E& x, const
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int A.binary locate(int (∗cmp)(co
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6.3 Stacks ( stack ) 1. Definition
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6.5 Bounded Stacks ( b stack ) 1. D
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6.7 Linear Lists ( list ) 1. Defini
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const E& L.pop front( ) same as L.p
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Sorting and Searching void L.sort(i
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Input and Output void L.read(istrea
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6.8 Singly Linked Lists ( slist ) 1
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6.9 Sets ( set ) 1. Definition An i
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4. Implementation Sets are implemen
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int set S | const int set& T return
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d int set S − const d int set& T
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6.12 Partitions ( partition ) 1. De
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6.13 Parameterized Partitions ( Par
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void D.evert(vertex v) makes v the
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4. Implementation Dynamic collectio
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dictionary D(int (∗cmp)(const K&
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7.2 Dictionary Arrays ( d array ) 1
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{ d_array dic; dic["hello"] = "hall
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ool A.empty( ) returns true if A is
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Note that it is not possible to ite
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void M.clear( ) clears M by making
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p dictionary D.change inf(p dic ite
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void D.del(const K& k) deletes the
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3. Creation sortseq S; creates an i
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seq item S.max item( ) returns the
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Iteration forall items(it, S) { “
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Chapter 8 Priority Queues 8.1 Prior
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6. Example Dijkstra’s Algorithm (
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int Q.size( ) returns the size of Q
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Assume that you want to send the fi
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9.1 Adaptive Arithmetic Coder ( A0C
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uint32 C.get scale threshold( ) uin
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uint32 C.decode memory chunk(const
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3. Creation PPMIICoder C(streambuf
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9.4 Deflation/Inflation Coder ( Def
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void C.set compression level(int le
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void void C.set src stream(streambu
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streambuf ∗ C.get src stream( ) r
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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 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 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
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11.17 Sets of Edges ( edge set ) 1.
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node L.cyclic pred(node v) returns
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11.20 Node Priority Queues ( node p
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11.21 Bounded Node Priority Queues
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11.22 Graph Generators ( graph gen
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uedges. For n > 3, a random maximal
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void random planar graph(graph& G,
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ool Is Bidirected(const graph& G) r
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list Delete Loops(graph& G) returns
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11.25 Dynamic Markov Chains ( dynam
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has a source and a target. These ar
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void parser.append(const char ∗ k
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11.27 The LEDA graph input/output f
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arithmetic demand for each function
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GRAPH TRANSITIVE CLOSURE(const gra
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template bool SHORTEST PATH T(cons
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template bool ALL PAIRS SHORTEST P
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The algorithms have the following a
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inline NT MAX FLOW GRH T(const grap
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12.5 Minimum Cut ( min cut ) A cut
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that the bipartition (A, B) is give
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The pre-instantiations for number t
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template bool CHECK MIN WEIGHT ASS
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in general graph. You may skip the
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Worst-Case Running Time: All functi
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list MIN WEIGHT PERFECT MATCHING T(
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12.10 Stable Matching ( stable matc
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12.11 Minimum Spanning Trees ( min
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12.13 Algorithms for Planar Graphs
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ool bool Is CCW Ordered(const graph
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ool void void void TUTTE EMBEDDING(
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Chapter 13 Graphs and Iterators 13.
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The purpose of each iterator is the
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template void set_and_check (graph
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In addition to the algorithm mentio
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13.3 Edge Iterators ( EdgeIt ) 1. D
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#include < LEDA/graph/graph iterato
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OutAdjIt OutAdjIt OutAdjIt it(const
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OutAdjIt& −−it performs one ste
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ool it.eol( ) returns !it.valid( )
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void it.del( ) deletes the marked l
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3. Operations void fc.init(const le
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We would have to write something li
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Equal is a class that compares two
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used only as a “Trojan horse,”
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typename DataAccessor :: value type
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13.14 Constant Accessors ( constant
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13.16 Node Attribute Accessors ( no
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GIT BFS< OutAdjIt, Queuetype, Mark
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3. dfs grow depth: a new adjacency
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• indegree stores for every node
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• Mark is a data accessor that ha
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OutAdjIt algorithm.curr adj( ) retu
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14.1 Points ( point ) 1. Definition
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point p.reflect(const point& q, con
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ool contained in simplex(const arra
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4. Operations point s.start( ) retu
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segment s.rotate90(const point& q,
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double r.direction( ) returns the d
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14.4 Straight Lines ( line ) 1. Def
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line l.translate(const vector& v) r
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14.5 Circles ( circle ) 1. Definiti
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circle C + const vector& v returns
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14.6 Polygons ( POLYGON ) 1. Defini
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const list& P.segments( ) returns t
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ool P.inside(const POINT & p) bool
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14.7 Generalized Polygons ( GEN POL
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GEN POLYGON GEN POLYGON :: make wea
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int P.side of(const POINT & p) regi
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14.8 Triangles ( triangle ) 1. Defi
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triangle t.rotate90(const point& q,
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double r.height( ) returns the heig
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14.10 Rational Points ( rat point )
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at point p.reflect(const rat point&
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int side of halfspace(const rat poi
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at segment s(const segment& s1 , in
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ational s.y abs( ) returns the y-ab
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14.12 Rational Rays ( rat ray ) 1.
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ool r.contains(const rat segment& s
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void l.normalize( ) simplifies the
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at line p bisector(const rat point&
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at circle C(const circle& c, int pr
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14.15 Rational Triangles ( rat tria
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at triangle t − const rat vector&
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list r.vertices( ) returns the vert
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list r.intersection(const rat recta
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int p.orientation(const real point&
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eal area(const real point& a, const
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14.18 Real Segments ( real segment
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ool s.intersection(const real segme
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14.19 Real Rays ( real ray ) 1. Def
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Non-Member Functions int orientatio
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4. Operations real point l.point1(
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int cmp slopes(const real line& l1
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eal circle C(const circle& c, int p
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ool radical axis(const real circle&
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eal point t.point3( ) returns the t
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14.23 Iso-oriented Real Rectangles
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eal rectangle r.translate(real dx,
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14.24 Geometry Algorithms ( geo alg
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edge TRIANGULATE PLANE MAP(GRAPH &
Page 520 and 521:
gen polygon MINKOWSKI SUM(const pol
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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 )
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TRANSFORM reflection(const POINT& q
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void random points in unit cube(int
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void random points on unit circle(i
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const rat point& p.to rat point( )
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circle segment cs(const rat circle&
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list cs.intersection(const r circle
Page 540 and 541:
14.29 Polygons with circular edges
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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
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ool T.is hull edge(edge e) as above
Page 558 and 559:
list T.range search(node v, const P
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15.3 Sets of Intervals ( interval s
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15.4 Sets of Parallel Segments ( se
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15.5 Sets of Parallel Rational Segm
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15.6 Planar Subdivisions ( subdivis
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16.1 Points in 3D-Space ( d3 point
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d3 point midpoint(const d3 point& a
Page 572 and 573:
ool outside sphere(const d3 point&
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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
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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 (
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d3 rat point p.translate(const rat
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ool coplanar(const d3 rat point& a,
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d3 rat point random d3 rat point in
Page 594 and 595:
void random d3 rat points on segmen
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ool r.project xy(rat ray& m) bool r
Page 598 and 599:
ool l.project yz(rat line& m) if th
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16.11 Rational Segments in 3D-Space
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d3 rat segment s + const rat vector
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d3 plane p.to float( ) returns a fl
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16.13 Rational Spheres ( d3 rat sph
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16.14 Rational Simplices ( d3 rat s
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16.15 3D Convex Hull Algorithms ( d
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Chapter 17 Graphics This section de
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17.2 Windows ( window ) 1. Definiti
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18. The buttons per line parameter
Page 619 and 620:
void W.display(window& W 0 , int x,
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void W.set show coord object(const
Page 623 and 624:
int W.menu bar height( ) returns th
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void W.draw ray(point p, point q, l
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void W.draw filled ellipse(double x
Page 629 and 630:
void void void void void W.draw rou
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void void void W.draw edge(double x
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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
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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
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[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

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