/usr/share/doc/libapron-dev/html/apron_29.html is in libapron-dev 0.9.10-5.2ubuntu3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 | <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html401/loose.dtd">
<html>
<!-- Created on November 19, 2011 by texi2html 1.82
texi2html was written by:
Lionel Cons <Lionel.Cons@cern.ch> (original author)
Karl Berry <karl@freefriends.org>
Olaf Bachmann <obachman@mathematik.uni-kl.de>
and many others.
Maintained by: Many creative people.
Send bugs and suggestions to <texi2html-bug@nongnu.org>
-->
<head>
<title>APRON 0.9.10: Tree expressions of level 1 (ap_texpr1.h)</title>
<meta name="description" content="APRON 0.9.10: Tree expressions of level 1 (ap_texpr1.h)">
<meta name="keywords" content="APRON 0.9.10: Tree expressions of level 1 (ap_texpr1.h)">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="texi2html 1.82">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
pre.display {font-family: serif}
pre.format {font-family: serif}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: serif; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: serif; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.roman {font-family:serif; font-weight:normal;}
span.sansserif {font-family:sans-serif; font-weight:normal;}
ul.toc {list-style: none}
-->
</style>
</head>
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Tree-expressions-of-level-1"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="apron_28.html#Arrays-of-generators-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Datatypes-for-tree-expressions-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="apron_42.html#Appendices" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="apron_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Tree-expressions-of-level-1-_0028ap_005ftexpr1_002eh_0029"></a>
<h2 class="section">Tree expressions of level 1 (‘<tt>ap_texpr1.h</tt>’)</h2>
<p>We manipulate here general expressions described by the grammar
</p><blockquote><p><em>expr ::= cst | var | unop e | e1 binop e2</em>
</p></blockquote>
<p>Such tree expressions generalize linear expressions(see section <a href="apron_26.html#Linear-expressions-of-level-1">Linear expressions of level 1 (‘<tt>ap_linexpr1.h</tt>’)</a>) in two ways:
</p><ul>
<li> Non-linear operations are possible (multiplication, division, casts, ...)
</li><li>
Semantics of operators is no longer restricted to real/rational
semantics. Each operation is parameterized by two parameters:
<ul>
<li>
a rounding type parameter,
which indicates the destination type of the operation, and influences
how the rounding is performed;
</li><li>
a rounding direction parameter, which defines the rounding mode.
</li></ul>
</li></ul>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="#Datatypes-for-tree-expressions-of-level-1">Datatypes for tree expressions of level 1</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="#Constructors_002fDestructors-for-tree-expressions-of-level-1">Constructors/Destructors for tree expressions of level 1</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="#Tests-on-tree-expressions-of-level-1">Tests on tree expressions of level 1</a></td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top"><a href="#Operations-on-tree-expressions-of-level-1">Operations on tree expressions of level 1</a></td><td> </td><td align="left" valign="top">
</td></tr>
</table>
<hr size="6">
<a name="Datatypes-for-tree-expressions-of-level-1"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Constructors_002fDestructors-for-tree-expressions-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="apron_42.html#Appendices" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="apron_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Datatypes-for-tree-expressions-of-level-1-1"></a>
<h3 class="subsection">Datatypes for tree expressions of level 1</h3>
<dl>
<dt><a name="index-ap_005ftexpr1_005ft"></a><u>datatype:</u> <b>ap_texpr1_t</b></dt>
<dd><p>Type of tree expressions.
</p>
<p>Tree expressions of level 1 are created as objects of type
<code>ap_texpr1_t*</code>. They are manipulated in a functional way (except
a few operations), unlike linear expressions on which most operations
acts by side-effects.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr_005fop_005ft"></a><u>datatype:</u> <b>ap_texpr_op_t</b></dt>
<dd><p>Operators (actually defined in ‘<tt>ap_texpr0.h</tt>’)
</p><table><tr><td> </td><td><pre class="example">typedef enum ap_texpr_op_t {
/* Binary operators */
AP_TEXPR_ADD, AP_TEXPR_SUB, AP_TEXPR_MUL, AP_TEXPR_DIV,
AP_TEXPR_MOD, /* either integer or real, no rounding */
/* Unary operators */
AP_TEXPR_NEG /* no rounding */,
AP_TEXPR_CAST, AP_TEXPR_SQRT,
} ap_texpr_op_t;
</pre></td></tr></table>
</dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr_005frtype_005ft"></a><u>datatype:</u> <b>ap_texpr_rtype_t</b></dt>
<dd><p>Destination type of the operation for rounding (actually defined in ‘<tt>ap_texpr0.h</tt>’)
</p><table><tr><td> </td><td><pre class="example">typedef enum ap_texpr_rtype_t {
AP_RTYPE_REAL, /* real (no rounding) */
AP_RTYPE_INT, /* integer */
AP_RTYPE_SINGLE, /* IEEE 754 32-bit single precision, e.g.: C's float */
AP_RTYPE_DOUBLE, /* IEEE 754 64-bit double precision, e.g.: C's double */
AP_RTYPE_EXTENDED, /* non-standard 80-bit double extended, e.g.: Intel's long double */
AP_RTYPE_QUAD, /* non-standard 128-bit quadruple precision, e.g.: Motorola's long double */
} ap_texpr_rtype_t;
</pre></td></tr></table>
</dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr_005frdir_005ft"></a><u>datatype:</u> <b>ap_texpr_rdir_t</b></dt>
<dd><p>Rounding mode (actually defined in ‘<tt>ap_texpr0.h</tt>’)
</p><table><tr><td> </td><td><pre class="example">typedef enum ap_texpr_rdir_t {
AP_RDIR_NEAREST /* Nearest */
AP_RDIR_ZERO /* Zero (truncation for integers) */
AP_RDIR_UP /* + Infinity */
AP_RDIR_DOWN /* - Infinity */
AP_RDIR_RND, /* All possible mode, non deterministically */
AP_RDIR_SIZE /* Not to be used ! */
} ap_texpr_rdir_t;
</pre></td></tr></table>
</dd></dl>
<hr size="6">
<a name="Constructors_002fDestructors-for-tree-expressions-of-level-1"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Datatypes-for-tree-expressions-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Tests-on-tree-expressions-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="apron_42.html#Appendices" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="apron_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Constructors_002fDestructors-for-tree-expressions-of-level-1-1"></a>
<h3 class="subsection">Constructors/Destructors for tree expressions of level 1</h3>
<p>Parameters of constructors are not memory-managed by the constructed
expression, with the important exception of expressions parameters
(type <code>ap_texpr1.h</code>) are, which means that they should not be
freed afterwards.
</p>
<dl>
<dt><a name="index-ap_005ftexpr1_005fcst"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst</b><i> (ap_environment_t* <var>env</var>, ap_coeff_t* <var>coeff</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005fscalar"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_scalar</b><i> (ap_environment_t* <var>env</var>, ap_scalar_t* <var>scalar</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005fscalar_005fmpq"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_scalar_mpq</b><i> (ap_environment_t* <var>env</var>, mpq_t <var>mpq</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005fscalar_005fint"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_scalar_int</b><i> (ap_environment_t* <var>env</var>, long int <var>num</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005fscalar_005ffrac"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_scalar_frac</b><i> (ap_environment_t* <var>env</var>, long int <var>num</var>, unsigned long int <var>den</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005fscalar_005fdouble"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_scalar_double</b><i> (ap_environment_t* <var>env</var>, double <var>num</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval</b><i> (ap_environment_t* <var>env</var>, ap_interval_t* <var>itv</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval_005fscalar"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval_scalar</b><i> (ap_environment_t* <var>env</var>, ap_scalar_t* <var>inf</var>, ap_scalar_t* <var>sup</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval_005fmpq"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval_mpq</b><i> (ap_environment_t* <var>env</var>, mpq_t <var>inf</var>, mpq_t <var>sup</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval_005fint"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval_int</b><i> (ap_environment_t* <var>env</var>, long int <var>inf</var>, long int <var>sup</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval_005ffrac"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval_frac</b><i> (ap_environment_t* <var>env</var>, long int <var>numinf</var>, unsigned long int <var>deninf</var>, long int <var>numsup</var>, unsigned long int <var>densup</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005finterval_005fdouble"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_interval_double</b><i> (ap_environment_t* <var>env</var>, double <var>inf</var>, double <var>sup</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fcst_005ftop"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_cst_top</b><i> (ap_environment_t* <var>env</var>)</i></dt>
<dd><p>Create a constant expression, on the environment <var>env</var>.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fvar"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_var</b><i> (ap_environment_t* <var>env</var>, ap_var_t <var>var</var>)</i></dt>
<dd><p>Create a variable expression. Return <code>NULL</code> in the case <var>var</var>
is unknown in <var>env</var>.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005funop"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_unop</b><i> (ap_texpr_op_t <var>op</var>, ap_texpr1_t* <var>opA</var>, ap_texpr_rtype_t <var>type</var>, ap_texpr_rdir_t <var>dir</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fbinop"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_binop</b><i> (ap_texpr_op_t <var>op</var>, ap_texpr1_t* <var>opA</var>, ap_texpr1_t* <var>opB</var>, ap_texpr_rtype_t <var>type</var>, ap_texpr_rdir_t <var>dir</var>)</i></dt>
<dd><p>Create an expression from an operator and expression operand(s). Be
aware that <var>opA</var> and <var>opB</var> are memroy-managed by the result
upon return.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fcopy"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_copy</b><i> (ap_texpr1_t* <var>expr</var>)</i></dt>
<dd><p>(Deep) copy of a tree expression.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005ffrom_005flinexpr1"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_from_linexpr1</b><i> (ap_linexpr1_t* <var>linexpr</var>)</i></dt>
<dd><p>Creation from a linear expression.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005ffree"></a><u>Function:</u> void <b>ap_texpr1_free</b><i> (ap_texpr1_t* <var>expr</var>)</i></dt>
<dd><p>Free (recursively) a tree expression.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005ffprint"></a><u>Function:</u> void <b>ap_texpr1_fprint</b><i> (FILE* <var>stream</var>, ap_texpr1_t* <var>e</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fprint"></a><u>Function:</u> void <b>ap_texpr1_print</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>Print the expression
</p></dd></dl>
<hr size="6">
<a name="Tests-on-tree-expressions-of-level-1"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Constructors_002fDestructors-for-tree-expressions-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="#Operations-on-tree-expressions-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="apron_42.html#Appendices" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="apron_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Tests-on-tree-expressions-of-level-1-1"></a>
<h3 class="subsection">Tests on tree expressions of level 1</h3>
<dl>
<dt><a name="index-ap_005ftexpr1_005fequal"></a><u>Function:</u> bool <b>ap_texpr1_equal</b><i> (ap_texpr1_t* <var>e1</var>, ap_texpr1_t* <var>e2</var>)</i></dt>
<dd><p>Structural (recursive) equality
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fhas_005fvar"></a><u>Function:</u> bool <b>ap_texpr1_has_var</b><i> (ap_texpr1_t* <var>e</var>, ap_var_t <var>var</var>)</i></dt>
<dd><p>Return true if variable <var>var</var> appears in the expression.
</p></dd></dl>
<p>The next functions classifies tree expressions.
</p><dl>
<dt><a name="index-ap_005ftexpr1_005fis_005finterval_005fcst"></a><u>Function:</u> bool <b>ap_texpr1_is_interval_cst</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>No variable, only constant leaves
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fis_005finterval_005flinear"></a><u>Function:</u> bool <b>ap_texpr1_is_interval_linear</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>Linear with possibly interval coefficients, no rounding
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fis_005finterval_005fpolynomial"></a><u>Function:</u> bool <b>ap_texpr1_is_interval_polynomial</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>Polynomial with possibly interval coefficients, no rounding
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fis_005finterval_005fpolyfrac"></a><u>Function:</u> bool <b>ap_texpr1_is_interval_polyfrac</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>Polynomial fraction with possibly interval coefficients, no rounding
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fis_005fscalar"></a><u>Function:</u> bool <b>ap_texpr1_is_scalar</b><i> (ap_texpr1_t* <var>e</var>)</i></dt>
<dd><p>All coefficients are scalar (non-interval)</p></dd></dl>
<hr size="6">
<a name="Operations-on-tree-expressions-of-level-1"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Tests-on-tree-expressions-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="apron_30.html#Tree-constraints-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[Contents]</td>
<td valign="middle" align="left">[<a href="apron_42.html#Appendices" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="apron_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<a name="Operations-on-tree-expressions-of-level-1-1"></a>
<h3 class="subsection">Operations on tree expressions of level 1</h3>
<dl>
<dt><a name="index-ap_005ftexpr1_005fsubstitute"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_substitute</b><i> (ap_texpr1_t* <var>e</var>, ap_var_t <var>var</var>, ap_texpr1_t* <var>dst</var>)</i></dt>
<dd><p>Substitute every occurence of variable var with a copy of dst. Return
NULL in case of incorrect argument (w.r.t. var and/or environment
compatibility).
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fextend_005fenvironment"></a><u>Function:</u> ap_texpr1_t* <b>ap_texpr1_extend_environment</b><i> (ap_texpr1_t* <var>e</var>, ap_environment_t* <var>nenv</var>)</i></dt>
<dd><p>Change current environment with a super-environment. Return NULL if
<var>nenv</var> is not a superenvironment of <code>e->env</code>.
</p></dd></dl>
<dl>
<dt><a name="index-ap_005ftexpr1_005fsubstitute_005fwith"></a><u>Function:</u> bool <b>ap_texpr1_substitute_with</b><i> (ap_texpr1_t* <var>e</var>, ap_var_t <var>var</var>, ap_texpr1_t* <var>dst</var>)</i></dt>
<dt><a name="index-ap_005ftexpr1_005fextend_005fenvironment_005fwith"></a><u>Function:</u> bool <b>ap_texpr1_extend_environment_with</b><i> (ap_texpr1_t* <var>e</var>, ap_environment_t* <var>nenv</var>)</i></dt>
<dd><p>Side-effect versions of the previous functions. Return <code>true</code>
instead of <code>NULL</code> in case of problem.
</p></dd></dl>
<hr size="6">
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="#Tests-on-tree-expressions-of-level-1" title="Previous section in reading order"> < </a>]</td>
<td valign="middle" align="left">[<a href="apron_30.html#Tree-constraints-of-level-1" title="Next section in reading order"> > </a>]</td>
<td valign="middle" align="left"> </td>
<td valign="middle" align="left">[<a href="apron_23.html#Level-1-of-the-interface" title="Beginning of this chapter or previous chapter"> << </a>]</td>
<td valign="middle" align="left">[<a href="#Tree-expressions-of-level-1" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="apron_32.html#Level-0-of-the-interface" title="Next chapter"> >> </a>]</td>
</tr></table>
<p>
<font size="-1">
This document was generated by <em>Build Daemon user</em> on <em>November 19, 2011</em> using <a href="http://www.nongnu.org/texi2html/"><em>texi2html 1.82</em></a>.
</font>
<br>
</p>
</body>
</html>
|