Version 5.0 The LEDA User Manual

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template bool GW.get obj text(GeoBaseScene ∗ sc, typename T :: iterator it, geowin text& gt) Gets the text associated with the object it points to and assigns it to gt. If no text is associated with the object, false will be returned, otherwise true. template void GW.set obj text(GeoBaseScene ∗ sc, void ∗ adr, const geowin text& gt) Assigns gt to the object at adr in scene sc. template void GW.set obj text(GeoBaseScene ∗ sc, typename T :: iterator it, const geowin text& gt) Assigns gt to the object it points to in scene sc. template void GW.reset obj attributes(GeoBaseScene ∗ sc) d) Input and Output Operations deletes all individual attributes of objects in scene (∗sc). void void void GW.read(geo scene sc, istream& is) GW.write(geo scene sc, ostream& os) GW.write active scene(ostream& os) reads the contents of sc from input stream is. Before the contents of sc is cleared. writes the contents of sc to output stream os. writes the contents of the active scene of GW to output stream os. e) View Operations void GW.zoom up( ) The visible range is reduced to the half. void GW.zoom down( ) The visible range is doubled. void GW.fill window( ) changes window coordinate system, so that the objects of the currently active scene fill the window. void GW.reset window( ) resets the visible range to the values that where current when constructing GW . f) Parameter Operations The following operations allow the set and retrieve the various parameters of GeoWin.
string string GW.get bg pixmap( ) returns the name of the current background pixmap. GW.set bg pixmap(string pix name) changes the window background pixmap to pixmap with name pix name. Returns the name of the previous background pixmap. color GW.get bg color( ) returns the current background color. color GW.set bg color(const color& c) color GW.get user layer color( ) color GW.set user layer color(const color& c) int GW.get user layer line width( ) sets the background color to c and returns its previous value. returns the current color of the user layer. sets the user layer color to c and returns its previous value. returns the current line width of the user layer. int GW.set user layer line width(int lw) sets the user layer line width to lw and returns its previous value. bool GW.get show grid( ) returns true, if the grid will be shown, false otherwise. bool GW.set show grid(bool sh) sets the show grid flag to sh and returns the previous value. double GW.get grid dist( ) returns the grid width parameter. double GW.set grid dist(double g) sets the grid width parameter to g and returns the previous value. grid style GW.get grid style( ) returns the grid style parameter. grid style GW.set grid style(grid style g) bool GW.get show position( ) sets the grid style parameter to g and returns the previous value. returns true, if the mouse position will be shown, false otherwise.
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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
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uint32 C.decode memory chunk(const
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uint32 C.encode memory chunk(const
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9.10 Move-To-Front Coder ( MTFCoder
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9.11 Move-To-Front Coder II ( MTF2C
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9.12 RLE for Runs of Zero ( RLE0Cod
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9.13 Checksummers ( checksummer bas
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ool C.checksum is valid( ) returns
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9.19 Encoding Output Stream ( encod
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ostream& os.seekp(streamoff off , i
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9.23 Coder Pipes ( CoderPipe2 ) 1.
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void C.set coder1(Coder1 ∗ c1 , b
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void void C.set src stream(streambu
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3. Operations Standard Operations v
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string out_file1 = tmp_file_name(),
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void mb.truncate(streamsize n) also
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e able to change your message witho
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Then you can use the CryptAutoDecod
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10.1 Secure Byte String ( CryptByte
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CryptKey k(const byte ∗ bytes, ui
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10.3 Encryption and Decryption with
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10.4 Example for a Stream-Cipher (
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uint16 void C.get accepted key size
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3. Operations Standard Operations v
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10.6 Automatic Decoder supporting C
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void C.add keys in file(const char
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secure socket streambuf sb(leda soc
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Chapter 11 Graphs and Related Data
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2. Creation graph G; creates an obj
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edge G.first in edge(node v) return
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void G.hide node(node v) removes no
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void G.bucket sort nodes(int l, int
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edge G.new map edge(edge e1 , edge
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edge edge edge G.new edge(node v, e
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void void G.print(string s, ostream
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graph algorithms, i.e., algorithms
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void void G.sort nodes(const list&
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• Opposite Graphs (opposite graph
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4. Operations The interface consist
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int main () { static_graph G; array
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3. Implementation see section 11.2.
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list M.triangulate( ) triangulates
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void M.assign(face f, const ftype&
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void A.init(const graph t& G, int n
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ool M.use node data(const graph t&
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ool M.use edge data(const graph t&
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E& M[face f] returns the variable M
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4. Implementation Node matrices for
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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 &
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gen polygon MINKOWSKI SUM(const pol
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ool MIN WIDTH ANNULUS(const list& L
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double CLOSEST PAIR(list& L, point&
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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
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14.29 Polygons with circular edges
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CHECK TYPE P.check simplicity( ) ch
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ool P.inside(const r circle point&
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circle gen polygon P (KIND k); crea
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list P.intersection(const rat line&
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double P.approximate area( ) approx
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const I& D.inf(dic2 item it) return
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15.2 Point Sets and Delaunay Triang
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ool T.is hull edge(edge e) as above
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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
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ool outside sphere(const d3 point&
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ool bool r.project xz(ray& m) if th
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segment s.project xy( ) returns the
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ool l.project(const d3 point& p, co
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double p.sqr dist(const d3 point& q
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16.6 Spheres in 3D-Space ( d3 spher
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16.7 Simplices in 3D-Space ( d3 sim
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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
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void random d3 rat points on segmen
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ool r.project xy(rat ray& m) bool r
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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
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void W.display(window& W 0 , int x,
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void W.set show coord object(const
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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
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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
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int W.read mouse seg(const point& p
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int W.read event(int& val, double&
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window& W ≫ segment& s reads a se
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panel item W.bool item(string s, bo
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panel item W.int item(string s, int
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int W.button(string s, const char
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int W.button(string s, window& M, c
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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: template string GW.set obj label(G
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
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2. Windows 95/98: (a) Add the line
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Preparations To install LEDA you on
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A.16 Platforms When this manual was
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(b) For objects x and y of an indep
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A and B are different objects: A ==
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if (p.y > q.y) return 1; return 0;
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partypes={no, yes} Determines how p
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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
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[67] M. Mignotte: Mathematics for C
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Index Symbols L A TEX . . . . . . .
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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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