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@ -22,7 +22,7 @@ Expressions calculator
toc::[]
#TODO: Work in progress (last update on 2024/05/17, 7:30 a.m.)#
#TODO: Work in progress (last update on 2024/05/17, 15:47 p.m.)#
== Expr
_Expr_ is a GO package capable of analysing, interpreting and calculating expressions.
@ -122,7 +122,7 @@ _Expr_ supports three type of numbers:
. [blue]#Integers#
. [blue]#Floats#
. [blue]#Factions# internally are stored as _pairs of_ Golang _int64_ values.
. [blue]#Factions#
In mixed operations involving integers, fractions and floats, automatic type promotion to the largest type take place.
@ -183,7 +183,7 @@ _dec-seq_ = _see-integer-literal-syntax_
`>>>` [blue]`4.5E-3` +
[green]`0.0045` +
`>>>` [blue]`4.5E10` +
[green]`4.5e+10` +
[green]`4.5e+10`
.Arithmetic operators
@ -207,7 +207,7 @@ _sign_ = "**+**" | "**-**" +
_num-den-spec_ = _digit-seq_ "**|**" _digit-seq_ +
_float-spec_ = _dec-seq_ "**.**" [_dec-seq_] "**(**" _dec-seq_ "**)**" +
_dec-seq_ = _see-integer-literal-syntax_ +
_digit-seq_ = _see-integer-literal-syntax_ +
_digit-seq_ = _see-integer-literal-syntax_
====
.Examples
@ -241,7 +241,7 @@ Fractions can be used together with integers and floats in expressions.
`>>>` [blue]`4 - 1|2` +
[green]`7|2` +
`>>>` [blue]`1.0 + 1|2` +
[green]`1.5` +
[green]`1.5`
@ -289,7 +289,8 @@ _item_ = _string-expr_ "**.**" _integer-expr_
`>>>` [blue]`\#s` [gray]_number of chars_ +
[gren]`3` +
`>>>` [blue]`#"abc"` [gray]_number of chars_ +
[green]`3` +
[green]`3`
=== Booleans
Boolean data type has two values only: [blue]_true_ and [blue]_false_. Relational and boolean expressions result in boolean values.
@ -475,50 +476,65 @@ The assignment operator [blue]`=` is used to define variables in the evaluation
The value on the left side of [blue]`=` must be an identifier. The value on the right side can be any expression and it becomes the result of the assignment operation.
.Example
[source,go]
----
a=15+1 // returns 16
----
`>>>` [blue]`a=15+1`
[green]`16`
=== Selector operator [blue]`? : ::`
The _selector operator_ is very similar to the _switch/case/default_ statement available in many programming languages.
.Syntax
[source,bnf]
----
<selector-operator> ::= <select-expression> "?" <selector-case> { ":" <selector-case> } ["::" <default-multi-expression>]
<selector-case> ::= [<match-list>] <case-value>
<match-list> ::= "["<item>{","<items>}"]"
<item> ::= <expression
<case-multi-expression> ::= "{" <multi-expression> "}"
<multi-expression> ::= <expression> {";" <expression>}
----
.Selector literal Syntax
_selector-operator_ = _select-expression_ "*?*" _selector-case_ { "*:*" _selector-case_ } ["*::*" _default-multi-expression_] +
_selector-case_ = [_match-list_] _case-value_ +
_match-list_ = "*[*" _item_ {"*,*" _items_} "*]*" +
_item_ = _expression_ +
_case-multi-expression_ = "*{*" _multi-expression_ "*}*" +
_multi-expression_ = _expression_ { "*;*" _expression_ } +
_default-multi-expression_ = _multi-expression_
In other words, the selector operator evaluates the expression (`<select-expression>`) on the left-hand side of the `?` symbol; it then compares the result obtained with the values listed in the `<match-list>`'s. If the comparision finds a match with a value in a match-list, the associated `<case-multi-expression>` is evaluted, and its result will be the final result of the selection operation.
In other words, the selector operator evaluates the _select-expression_ on the left-hand side of the [blue]`?` symbol; it then compares the result obtained with the values listed in the __match-list__'s, from left to right. If the comparision finds a match with a value in a _match-list_, the associated _case-multi-expression_ is evaluted, and its result will be the final result of the selection operation.
The match lists are optional. In that case, the position, from left to right, of the `<selector-case>` is used as match-list. Of course, that only works if the select-expression results in an integer.
The match lists are optional. In that case, the position, from left to right, of the _selector-case_ is used as _match-list_. Of course, that only works if the _select-expression_ results in an integer.
The `:` symbol (colon) is the separator of the selector-cases. Note that if the value of the select-expression does not match any match-list, an error will be issued. Therefore, it is strongly recommended to provide a default (multi-)expression introduced by the `::` symbol (double-colon). Also note that the default expression has no match-list.
The [blue]`:` symbol (colon) is the separator of the selector-cases. Note that if the value of the _select-expression_ does not match any _match-list_, an error will be issued. Therefore, it is strongly recommended to provide a default (multi-)expression introduced by the [blue]`::` symbol (double-colon). Also note that the default expression has no _match-list_.
.Examples
[source,go]
----
`>>>` [blue]`1 ? {"a"} : {"b"}`
[green]`b`
`>>>` [blue]`10 ? {"a"} : {"b"} :: {"c"}`
[green]`c'
[green]`>>>` [blue]`10 ? {"a"} :[true, 2+8] {"b"} :: {"c"}`
[green]`b`
`>>>` [blue]`10 ? {"a"} :[true, 2+8] {"b"} ::[10] {"c"}`
[red]`Parse Error: [1:34] case list in default clause`
[green]`>>>` [blue]`10 ? {"a"} :[10] {x="b" but x} :: {"c"}`
[green]`b`
`>>>` [blue]`10 ? {"a"} :[10] {x="b"; x} :: {"c"}`
[green]`b`
`>>>` [blue]`10 ? {"a"} : {"b"}`
`>>>` [blue]`1 ? {"a"} : {"b"}` +
[green]`b` +
`>>>` [blue]`10 ? {"a"} : {"b"} :: {"c"}` +
[green]`c' +
[green]`>>>` [blue]`10 ? {"a"} :[true, 2+8] {"b"} :: {"c"}` +
[green]`b` +
`>>>` [blue]`10 ? {"a"} :[true, 2+8] {"b"} ::[10] {"c"}` +
[red]`Parse Error: [1:34] case list in default clause` +
[green]`>>>` [blue]`10 ? {"a"} :[10] {x="b" but x} :: {"c"}` +
[green]`b` +
`>>>` [blue]`10 ? {"a"} :[10] {x="b"; x} :: {"c"}` +
[green]`b` +
`>>>` [blue]`10 ? {"a"} : {"b"}` +
[red]`Eval Error: [1:3] no case catches the value (10) of the selection expression`
----
=== Variable default value [blue]`??` and [blue]`?=`
The left operand of these two operators must be a variable. The right operator can be any expression. They return the value of the variable if this is define; otherwise they return the value of the right expression.
IMPORTANT: If the left variable is defined, the right expression is not evuated at all.
The [blue]`??` do not change the status of the left variable.
The [blue]`?=` assigns the calculated value of the right expression to the left variable.
.Examples
`>>>` [blue]`var ?? (1+2)`'
[green]`3` +
`>>>` [blue]`var` +
[red]`Eval Error: undefined variable or function "var"` +
`>>>` [blue]`var ?= (1+2)` +
[green]`3` +
`>>>` [blue]`var` +
[green]`3`
NOTE: These operators have a high priority, in particular higher than the operator [blue]`=`.
== Priorities of operators
The table below shows all supported operators by decreasing priorities.

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@ -561,6 +561,7 @@ pre.rouge .ss {
<li><a href="#_but_operator">4.2. <code class="blue">but</code> operator</a></li>
<li><a href="#_assignment_operator">4.3. Assignment operator <code class="blue">=</code></a></li>
<li><a href="#_selector_operator">4.4. Selector operator <code class="blue">? : ::</code></a></li>
<li><a href="#_variable_default_value_and">4.5. Variable default value <code class="blue">??</code> and <code class="blue">?=</code></a></li>
</ul>
</li>
<li><a href="#_priorities_of_operators">5. Priorities of operators</a></li>
@ -584,7 +585,7 @@ pre.rouge .ss {
<div class="sectionbody">
<!-- toc disabled -->
<div class="paragraph">
<p><mark>TODO: Work in progress (last update on 2024/05/17, 7:30 a.m.)</mark></p>
<p><mark>TODO: Work in progress (last update on 2024/05/17, 15:47 p.m.)</mark></p>
</div>
</div>
</div>
@ -742,7 +743,7 @@ pre.rouge .ss {
<p><span class="blue">Floats</span></p>
</li>
<li>
<p><span class="blue">Factions</span> internally are stored as <em>pairs of</em> Golang <em>int64</em> values.</p>
<p><span class="blue">Factions</span></p>
</li>
</ol>
</div>
@ -854,7 +855,7 @@ pre.rouge .ss {
<code>&gt;&gt;&gt;</code> <code class="blue">4.5E-3</code><br>
<code class="green">0.0045</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">4.5E10</code><br>
<code class="green">4.5e+10</code><br></p>
<code class="green">4.5e+10</code></p>
</div>
<table class="tableblock frame-all grid-all stretch">
<caption class="title">Table 2. Arithmetic operators</caption>
@ -918,7 +919,7 @@ pre.rouge .ss {
<em>num-den-spec</em> = <em>digit-seq</em> "<strong>|</strong>" <em>digit-seq</em><br>
<em>float-spec</em> = <em>dec-seq</em> "<strong>.</strong>" [<em>dec-seq</em>] "<strong>(</strong>" <em>dec-seq</em> "<strong>)</strong>"<br>
<em>dec-seq</em> = <em>see-integer-literal-syntax</em><br>
<em>digit-seq</em> = <em>see-integer-literal-syntax</em><br></p>
<em>digit-seq</em> = <em>see-integer-literal-syntax</em></p>
</div>
</div>
</div>
@ -953,7 +954,7 @@ pre.rouge .ss {
<code>&gt;&gt;&gt;</code> <code class="blue">4 - 1|2</code><br>
<code class="green">7|2</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">1.0 + 1|2</code><br>
<code class="green">1.5</code><br></p>
<code class="green">1.5</code></p>
</div>
</div>
</div>
@ -1031,7 +1032,7 @@ pre.rouge .ss {
<code>&gt;&gt;&gt;</code> <code class="blue">#s</code> <em class="gray">number of chars</em><br>
<code class="gren">3</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">#"abc"</code> <em class="gray">number of chars</em><br>
<code class="green">3</code><br></p>
<code class="green">3</code></p>
</div>
</div>
<div class="sect2">
@ -1404,11 +1405,10 @@ Technically <code class="blue">;</code> is not treated as a real operator. It ac
<p>The assignment operator <code class="blue">=</code> is used to define variables in the evaluation context or to change their value (see <em>ExprContext</em>).
The value on the left side of <code class="blue">=</code> must be an identifier. The value on the right side can be any expression and it becomes the result of the assignment operation.</p>
</div>
<div class="listingblock">
<div class="paragraph">
<div class="title">Example</div>
<div class="content">
<pre class="rouge highlight"><code data-lang="go"><span class="n">a</span><span class="o">=</span><span class="m">15</span><span class="o">+</span><span class="m">1</span> <span class="c">// returns 16</span></code></pre>
</div>
<p><code>&gt;&gt;&gt;</code> <code class="blue">a=15+1</code>
<code class="green">16</code></p>
</div>
</div>
<div class="sect2">
@ -1416,46 +1416,89 @@ The value on the left side of <code class="blue">=</code> must be an identifier.
<div class="paragraph">
<p>The <em>selector operator</em> is very similar to the <em>switch/case/default</em> statement available in many programming languages.</p>
</div>
<div class="listingblock">
<div class="title">Syntax</div>
<div class="content">
<pre class="rouge highlight"><code data-lang="bnf">&lt;selector-operator&gt; ::= &lt;select-expression&gt; "?" &lt;selector-case&gt; { ":" &lt;selector-case&gt; } ["::" &lt;default-multi-expression&gt;]
&lt;selector-case&gt; ::= [&lt;match-list&gt;] &lt;case-value&gt;
&lt;match-list&gt; ::= "["&lt;item&gt;{","&lt;items&gt;}"]"
&lt;item&gt; ::= &lt;expression
&lt;case-multi-expression&gt; ::= "{" &lt;multi-expression&gt; "}"
&lt;multi-expression&gt; ::= &lt;expression&gt; {";" &lt;expression&gt;}</code></pre>
</div>
<div class="paragraph">
<div class="title">Selector literal Syntax</div>
<p><em>selector-operator</em> = <em>select-expression</em> "<strong>?</strong>" <em>selector-case</em> { "<strong>:</strong>" <em>selector-case</em> } ["<strong>::</strong>" <em>default-multi-expression</em>]<br>
<em>selector-case</em> = [<em>match-list</em>] <em>case-value</em><br>
<em>match-list</em> = "<strong>[</strong>" <em>item</em> {"<strong>,</strong>" <em>items</em>} "<strong>]</strong>"<br>
<em>item</em> = <em>expression</em><br>
<em>case-multi-expression</em> = "<strong>{</strong>" <em>multi-expression</em> "<strong>}</strong>"<br>
<em>multi-expression</em> = <em>expression</em> { "<strong>;</strong>" <em>expression</em> }<br>
<em>default-multi-expression</em> = <em>multi-expression</em></p>
</div>
<div class="paragraph">
<p>In other words, the selector operator evaluates the expression (<code>&lt;select-expression&gt;</code>) on the left-hand side of the <code>?</code> symbol; it then compares the result obtained with the values listed in the <code>&lt;match-list&gt;&#8217;s. If the comparision finds a match with a value in a match-list, the associated `&lt;case-multi-expression&gt;</code> is evaluted, and its result will be the final result of the selection operation.</p>
<p>In other words, the selector operator evaluates the <em>select-expression</em> on the left-hand side of the <code class="blue">?</code> symbol; it then compares the result obtained with the values listed in the <em>match-list</em>'s, from left to right. If the comparision finds a match with a value in a <em>match-list</em>, the associated <em>case-multi-expression</em> is evaluted, and its result will be the final result of the selection operation.</p>
</div>
<div class="paragraph">
<p>The match lists are optional. In that case, the position, from left to right, of the <code>&lt;selector-case&gt;</code> is used as match-list. Of course, that only works if the select-expression results in an integer.</p>
<p>The match lists are optional. In that case, the position, from left to right, of the <em>selector-case</em> is used as <em>match-list</em>. Of course, that only works if the <em>select-expression</em> results in an integer.</p>
</div>
<div class="paragraph">
<p>The <code>:</code> symbol (colon) is the separator of the selector-cases. Note that if the value of the select-expression does not match any match-list, an error will be issued. Therefore, it is strongly recommended to provide a default (multi-)expression introduced by the <code>::</code> symbol (double-colon). Also note that the default expression has no match-list.</p>
<p>The <code class="blue">:</code> symbol (colon) is the separator of the selector-cases. Note that if the value of the <em>select-expression</em> does not match any <em>match-list</em>, an error will be issued. Therefore, it is strongly recommended to provide a default (multi-)expression introduced by the <code class="blue">::</code> symbol (double-colon). Also note that the default expression has no <em>match-list</em>.</p>
</div>
<div class="listingblock">
<div class="paragraph">
<div class="title">Examples</div>
<div class="content">
<pre class="rouge highlight"><code data-lang="go"><span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`1 ? {"a"} : {"b"}`</span>
<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`b`</span>
<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`10 ? {"a"} : {"b"} :: {"c"}`</span>
<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`c'
[green]`</span><span class="o">&gt;&gt;&gt;</span><span class="s">` [blue]`</span><span class="m">10</span> <span class="err">?</span> <span class="p">{</span><span class="s">"a"</span><span class="p">}</span> <span class="o">:</span><span class="p">[</span><span class="no">true</span><span class="p">,</span> <span class="m">2</span><span class="o">+</span><span class="m">8</span><span class="p">]</span> <span class="p">{</span><span class="s">"b"</span><span class="p">}</span> <span class="o">::</span> <span class="p">{</span><span class="s">"c"</span><span class="p">}</span><span class="s">`
[green]`</span><span class="n">b</span><span class="s">`
`</span><span class="o">&gt;&gt;&gt;</span><span class="s">` [blue]`</span><span class="m">10</span> <span class="err">?</span> <span class="p">{</span><span class="s">"a"</span><span class="p">}</span> <span class="o">:</span><span class="p">[</span><span class="no">true</span><span class="p">,</span> <span class="m">2</span><span class="o">+</span><span class="m">8</span><span class="p">]</span> <span class="p">{</span><span class="s">"b"</span><span class="p">}</span> <span class="o">::</span><span class="p">[</span><span class="m">10</span><span class="p">]</span> <span class="p">{</span><span class="s">"c"</span><span class="p">}</span><span class="s">`
[red]`</span><span class="n">Parse</span> <span class="n">Error</span><span class="o">:</span> <span class="p">[</span><span class="m">1</span><span class="o">:</span><span class="m">34</span><span class="p">]</span> <span class="k">case</span> <span class="n">list</span> <span class="n">in</span> <span class="k">default</span> <span class="n">clause</span><span class="s">`
[green]`</span><span class="o">&gt;&gt;&gt;</span><span class="s">` [blue]`</span><span class="m">10</span> <span class="err">?</span> <span class="p">{</span><span class="s">"a"</span><span class="p">}</span> <span class="o">:</span><span class="p">[</span><span class="m">10</span><span class="p">]</span> <span class="p">{</span><span class="n">x</span><span class="o">=</span><span class="s">"b"</span> <span class="n">but</span> <span class="n">x</span><span class="p">}</span> <span class="o">::</span> <span class="p">{</span><span class="s">"c"</span><span class="p">}</span><span class="s">`
[green]`</span><span class="n">b</span><span class="s">`
`</span><span class="o">&gt;&gt;&gt;</span><span class="s">` [blue]`</span><span class="m">10</span> <span class="err">?</span> <span class="p">{</span><span class="s">"a"</span><span class="p">}</span> <span class="o">:</span><span class="p">[</span><span class="m">10</span><span class="p">]</span> <span class="p">{</span><span class="n">x</span><span class="o">=</span><span class="s">"b"</span><span class="p">;</span> <span class="n">x</span><span class="p">}</span> <span class="o">::</span> <span class="p">{</span><span class="s">"c"</span><span class="p">}</span><span class="s">`
[green]`</span><span class="n">b</span><span class="s">`
`</span><span class="o">&gt;&gt;&gt;</span><span class="s">` [blue]`</span><span class="m">10</span> <span class="err">?</span> <span class="p">{</span><span class="s">"a"</span><span class="p">}</span> <span class="o">:</span> <span class="p">{</span><span class="s">"b"</span><span class="p">}</span><span class="s">`
[red]`</span><span class="n">Eval</span> <span class="n">Error</span><span class="o">:</span> <span class="p">[</span><span class="m">1</span><span class="o">:</span><span class="m">3</span><span class="p">]</span> <span class="n">no</span> <span class="k">case</span> <span class="n">catches</span> <span class="n">the</span> <span class="n">value</span> <span class="p">(</span><span class="m">10</span><span class="p">)</span> <span class="n">of</span> <span class="n">the</span> <span class="n">selection</span> <span class="n">expression</span><span class="s">`
</span></code></pre>
<p><code>&gt;&gt;&gt;</code> <code class="blue">1 ? {"a"} : {"b"}</code><br>
<code class="green">b</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">10 ? {"a"} : {"b"} :: {"c"}</code><br>
<code class="green">c'<br>
[green]</code>&gt;&gt;&gt;` <code class="blue">10 ? {"a"} :[true, 2+8] {"b"} :: {"c"}</code><br>
<code class="green">b</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">10 ? {"a"} :[true, 2+8] {"b"} ::[10] {"c"}</code><br>
<code class="red">Parse Error: [1:34] case list in default clause</code><br>
<code class="green">&gt;&gt;&gt;</code> <code class="blue">10 ? {"a"} :[10] {x="b" but x} :: {"c"}</code><br>
<code class="green">b</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">10 ? {"a"} :[10] {x="b"; x} :: {"c"}</code><br>
<code class="green">b</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">10 ? {"a"} : {"b"}</code><br>
<code class="red">Eval Error: [1:3] no case catches the value (10) of the selection expression</code></p>
</div>
</div>
<div class="sect2">
<h3 id="_variable_default_value_and"><a class="anchor" href="#_variable_default_value_and"></a><a class="link" href="#_variable_default_value_and">4.5. Variable default value <code class="blue">??</code> and <code class="blue">?=</code></a></h3>
<div class="paragraph">
<p>The left operand of these two operators must be a variable. The right operator can be any expression. They return the value of the variable if this is define; otherwise they return the value of the right expression.</p>
</div>
<div class="admonitionblock important">
<table>
<tr>
<td class="icon">
<i class="fa icon-important" title="Important"></i>
</td>
<td class="content">
If the left variable is defined, the right expression is not evuated at all.
</td>
</tr>
</table>
</div>
<div class="paragraph">
<p>The <code class="blue">??</code> do not change the status of the left variable.</p>
</div>
<div class="paragraph">
<p>The <code class="blue">?=</code> assigns the calculated value of the right expression to the left variable.</p>
</div>
<div class="paragraph">
<div class="title">Examples</div>
<p><code>&gt;&gt;&gt;</code> <code class="blue">var ?? (1+2)&#8217;
[green]`3</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">var</code><br>
<code class="red">Eval Error: undefined variable or function "var"</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">var ?= (1+2)</code><br>
<code class="green">3</code><br>
<code>&gt;&gt;&gt;</code> <code class="blue">var</code><br>
<code class="green">3</code></p>
</div>
<div class="admonitionblock note">
<table>
<tr>
<td class="icon">
<i class="fa icon-note" title="Note"></i>
</td>
<td class="content">
These operators have a high priority, in particular higher than the operator <code class="blue">=</code>.
</td>
</tr>
</table>
</div>
</div>
</div>
</div>
@ -1724,7 +1767,7 @@ The value on the left side of <code class="blue">=</code> must be an identifier.
</div>
<div id="footer">
<div id="footer-text">
Last updated 2024-05-17 07:30:14 +0200
Last updated 2024-05-17 15:47:29 +0200
</div>
</div>
</body>