<!DOCTYPE html> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <meta name="generator" content="hevea 2.05"> <meta name="Author" content="Daniel Diaz"> <meta name="Keywords" content="GNU Prolog, manual, Prolog, compiler, constraints, finite domains"> <link rel="icon" type="image/x-icon" href="/gprolog.ico"><link rel="stylesheet" type="text/css" href="gprolog.css"> <title>Finite domain solver and built-in predicates</title> </head> <body TEXT=black BGCOLOR=white> <a href="gprolog024.html"><img src="previous_motif.gif" alt="Previous"></a> <a href="index.html"><img src="contents_motif.gif" alt="Up"></a> <a href="gprolog065.html"><img src="next_motif.gif" alt="Next"></a> <hr> <h2 class="section" id="sec299">9  Finite domain solver and built-in predicates</h2> <ul> <li><a href="gprolog055.html">Introduction</a> <ul> <li><a href="gprolog055.html#sec301">Finite Domain variables</a> </li></ul> </li><li><a href="gprolog056.html">FD variable parameters</a> <ul> <li><a href="gprolog056.html#fd-max-integer%2F1"><span class="c003">fd_max_integer/1</span></a> </li><li><a href="gprolog056.html#sec304"><span class="c003">fd_vector_max/1</span></a> </li><li><a href="gprolog056.html#fd-set-vector-max%2F1"><span class="c003">fd_set_vector_max/1</span></a> </li></ul> </li><li><a href="gprolog057.html">Initial value constraints</a> <ul> <li><a href="gprolog057.html#sec307"><span class="c003">fd_domain/3</span>, <span class="c003">fd_domain_bool/1</span></a> </li><li><a href="gprolog057.html#sec308"><span class="c003">fd_domain/2</span></a> </li></ul> </li><li><a href="gprolog058.html">Type testing</a> <ul> <li><a href="gprolog058.html#sec310"><span class="c003">fd_var/1</span>, <span class="c003">non_fd_var/1</span>, <span class="c003">generic_var/1</span>, <span class="c003">non_generic_var/1</span></a> </li></ul> </li><li><a href="gprolog059.html">FD variable information</a> <ul> <li><a href="gprolog059.html#sec312"><span class="c003">fd_min/2</span>, <span class="c003">fd_max/2</span>, <span class="c003">fd_size/2</span>, <span class="c003">fd_dom/2</span></a> </li><li><a href="gprolog059.html#sec313"><span class="c003">fd_has_extra_cstr/1</span>, <span class="c003">fd_has_vector/1</span>, <span class="c003">fd_use_vector/1</span></a> </li></ul> </li><li><a href="gprolog060.html">Arithmetic constraints</a> <ul> <li><a href="gprolog060.html#sec315">FD arithmetic expressions</a> </li><li><a href="gprolog060.html#Partial-AC%3A-%28%3A%3D%29%2F2">Partial AC: <span class="c003">(#=)/2</span> - constraint equal, <span class="c003">(#</span><span class="c003">\</span><span class="c003">=)/2</span> - constraint not equal, <br> <span class="c003">(#</span><span class="c003"><</span><span class="c003">)/2</span> - constraint less than, <span class="c003">(#=</span><span class="c003"><</span><span class="c003">)/2</span> - constraint less than or equal, <br> <span class="c003">(#</span><span class="c003">></span><span class="c003">)/2</span> - constraint greater than, <span class="c003">(#</span><span class="c003">></span><span class="c003">=)/2</span> - constraint greater than or equal</a> </li><li><a href="gprolog060.html#Full-AC%3A-%28%3A%3D%3A%29%2F2">Full AC: <span class="c003">(#=#)/2</span> - constraint equal, <span class="c003">(#</span><span class="c003">\</span><span class="c003">=#)/2</span> - constraint not equal, <br> <span class="c003">(#</span><span class="c003"><</span><span class="c003">#)/2</span> - constraint less than, <span class="c003">(#=</span><span class="c003"><</span><span class="c003">#)/2</span> - constraint less than or equal, <br> <span class="c003">(#</span><span class="c003">></span><span class="c003">#)/2</span> - constraint greater than, <span class="c003">(#</span><span class="c003">></span><span class="c003">=#)/2</span> - constraint greater than or equal</a> </li><li><a href="gprolog060.html#sec318"><span class="c003">fd_prime/1</span>, <span class="c003">fd_not_prime/1</span></a> </li></ul> </li><li><a href="gprolog061.html">Boolean and reified constraints</a> <ul> <li><a href="gprolog061.html#sec320">Boolean FD expressions</a> </li><li><a href="gprolog061.html#sec321"><span class="c003">fd_reified_in/4</span></a> </li><li><a href="gprolog061.html#sec322"><span class="c003">(#</span><span class="c003">\</span><span class="c003">)/1</span> - constraint NOT, <span class="c003">(#</span><span class="c003"><</span><span class="c003">=</span><span class="c003">></span><span class="c003">)/2</span> - constraint equivalent, <br> <span class="c003">(#</span><span class="c003">\</span><span class="c003"><</span><span class="c003">=</span><span class="c003">></span><span class="c003">)/2</span> - constraint different, <span class="c003">(##)/2</span> - constraint XOR, <br> <span class="c003">(#==</span><span class="c003">></span><span class="c003">)/2</span> - constraint imply, <span class="c003">(#</span><span class="c003">\</span><span class="c003">==</span><span class="c003">></span><span class="c003">)/2</span> - constraint not imply, <br> <span class="c003">(#/</span><span class="c003">\</span><span class="c003">)/2</span> - constraint AND, <span class="c003">(#</span><span class="c003">\</span><span class="c003">/</span><span class="c003">\</span><span class="c003">)/2</span> - constraint NAND, <br> <span class="c003">(#</span><span class="c003">\</span><span class="c003">/)/2</span> - constraint OR, <span class="c003">(#</span><span class="c003">\</span><span class="c003">\</span><span class="c003">/)/2</span> - constraint NOR</a> </li><li><a href="gprolog061.html#fd-cardinality%2F2"><span class="c003">fd_cardinality/2</span>, <span class="c003">fd_cardinality/3</span>, <span class="c003">fd_at_least_one/1</span>, <span class="c003">fd_at_most_one/1</span>, <br> <span class="c003">fd_only_one/1</span></a> </li></ul> </li><li><a href="gprolog062.html">Symbolic constraints</a> <ul> <li><a href="gprolog062.html#sec325"><span class="c003">fd_all_different/1</span></a> </li><li><a href="gprolog062.html#fd-element%2F3"><span class="c003">fd_element/3</span></a> </li><li><a href="gprolog062.html#sec327"><span class="c003">fd_element_var/3</span></a> </li><li><a href="gprolog062.html#sec328"><span class="c003">fd_atmost/3</span>, <span class="c003">fd_atleast/3</span>, <span class="c003">fd_exactly/3</span></a> </li><li><a href="gprolog062.html#sec329"><span class="c003">fd_relation/2</span>, <span class="c003">fd_relationc/2</span></a> </li></ul> </li><li><a href="gprolog063.html">Labeling constraints</a> <ul> <li><a href="gprolog063.html#fd-labeling%2F2"><span class="c003">fd_labeling/2</span>, <span class="c003">fd_labeling/1</span>, <span class="c003">fd_labelingff/1</span></a> </li></ul> </li><li><a href="gprolog064.html">Optimization constraints</a> <ul> <li><a href="gprolog064.html#sec333"><span class="c003">fd_minimize/2</span>, <span class="c003">fd_maximize/2</span></a> </li></ul> </li></ul> <hr class="c011"> Copyright (C) 1999-2013 Daniel Diaz Verbatim copying and distribution of this entire article is permitted in any medium, provided this notice is preserved. <a href="index.html#copyright">More about the copyright</a> <hr> <a href="gprolog024.html"><img src="previous_motif.gif" alt="Previous"></a> <a href="index.html"><img src="contents_motif.gif" alt="Up"></a> <a href="gprolog065.html"><img src="next_motif.gif" alt="Next"></a> </body> </html>
