added functions to get the fenerating fraction of a decimal number

ast.go

@@ -60,7 +60,7 @@ func (self *ast) addToken(tk *Token) (err error) {
 }
 
 func (self *ast) addToken2(tk *Token) (t *term, err error) {
-	if t = newTerm(tk, nil); t != nil {
+	if t = newTerm(tk); t != nil {
 		err = self.addTerm(t)
 	} else {
 		err = tk.Errorf("unexpected token %q", tk.String())

common-errors.go

@@ -18,6 +18,10 @@ func errExpectedGot(funcName string, kind string, value any) error {
 	return fmt.Errorf("%s() expected %s, got %T (%v)", funcName, kind, value, value)
 }
 
+func errDivisionByZero(funcName string) error {
+	return fmt.Errorf("%s() division by zero", funcName)
+}
+
 // --- Parameter errors
 
 func errOneParam(funcName string) error {

dict_test.go

@@ -23,22 +23,9 @@ func TestDictParser(t *testing.T) {
 	inputs := []inputType{
 		/*  1 */ {`{}`, map[any]any{}, nil},
 		/*  2 */ {`{123}`, nil, errors.New(`[1:6] expected ":", got "}"`)},
-		/*  3 */ {`{1:"one",2:"two",3:"three"}`, map[int64]any{int64(1):"one", int64(2):"two", int64(3):"three"}, nil},
+		/*  3 */ {`{1:"one",2:"two",3:"three"}`, map[int64]any{int64(1): "one", int64(2): "two", int64(3): "three"}, nil},
 		/*  4 */ {`{1:"one",2:"two",3:"three"}.2`, "three", nil},
-		// /*  3 */ {`[1,2,"hello"]`, []any{int64(1), int64(2), "hello"}, nil},
-		// /*  4 */ {`[1+2, not true, "hello"]`, []any{int64(3), false, "hello"}, nil},
-		// /*  5 */ {`[1,2]+[3]`, []any{int64(1), int64(2), int64(3)}, nil},
-		// /*  6 */ {`[1,4,3,2]-[3]`, []any{int64(1), int64(4), int64(2)}, nil},
-		// /*  7 */ {`add([1,4,3,2])`, int64(10), nil},
-		// /*  8 */ {`add([1,[2,2],3,2])`, int64(10), nil},
-		// /*  9 */ {`mul([1,4,3.0,2])`, float64(24.0), nil},
-		// /* 10 */ {`add([1,"hello"])`, nil, errors.New(`add(): param nr 2 (2 in 1) has wrong type string, number expected`)},
-		// /* 11 */ {`[a=1,b=2,c=3] but a+b+c`, int64(6), nil},
-		// /* 12 */ {`[1,2,3] << 2+2`, []any{int64(1), int64(2), int64(3), int64(4)}, nil},
-		// /* 13 */ {`2-1 >> [2,3]`, []any{int64(1), int64(2), int64(3)}, nil},
-		// /* 14 */ {`[1,2,3].1`, int64(2), nil},
-		// /* 15 */ {`ls=[1,2,3] but ls.1`, int64(2), nil},
-		// /* 16 */ {`ls=[1,2,3] but ls.(-1)`, int64(3), nil},
+		/*  5 */ {`#{1:"one",2:"two",3:"three"}`, int64(3), nil},
 	}
 
 	succeeded := 0

doc/Expr.adoc

@@ -194,6 +194,25 @@ Some arithmetic operators can also be used with strings.
 | [blue]`*` | _repeat_ | Make _n_ copy of a string  | [blue]`"one" * 2` _["oneone"]_
 |===
 
+The items of strings can be accessed using the dot `.` operator.
+
+.Item access syntax
+[source,bnf]
+----
+<item> ::= <string-expr>"."<index-expr>
+----
+
+.String examples
+`>>>` [blue]`s="abc"`  [gray]_assign the string to variable s_ +
+[green]`abc` +
+`>>>` [blue]`s.1`      [gray]_char at position 1 (starting from 0)_ +
+[green]`b` +
+`>>>` [blue]`s.(-1)`   [gray]_char at position -1, the rightmost one_ +
+[green]`c` +
+`>>>` [blue]`\#s`       [gray]_number of chars_ +
+[gren]`3` +
+`>>>` [blue]`#"abc"`   [gray]_number of chars_ +
+[green]`3` +
 
 === Boolean
 Boolean data type has two values only: _true_ and _false_. Relational and Boolean expressions produce Boolean values.
@@ -278,29 +297,27 @@ The items of array can be accessed using the dot `.` operator.
 ----
 
 .Items of list
-[source,go]
-----
-`>>>` [blue]`[1,2,3].1`
-[green]`2`
-`>>>` [blue]`list=[1,2,3]; list.1`
-[green]`2`
-`>>>` [blue]`["one","two","three"].1`
-[green]`two`
-`>>>` [blue]`list=["one","two","three"]; list.(2-1)`
-[green]`two`
-`>>>` [blue]`list.(-1)`
-[green]`three`
-`>>>` [blue]`list.(-1)`
-[green]`three`
-`>>>` [blue]`list.(10)`
-----
+`>>>` [blue]`[1,2,3].1` +
+[green]`2` +
+`>>>` [blue]`list=[1,2,3]; list.1` +
+[green]`2` +
+`>>>` [blue]`["one","two","three"].1` +
+[green]`two` +
+`>>>` [blue]`list=["one","two","three"]; list.(2-1)` +
+[green]`two` +
+`>>>` [blue]`list.(-1)` +
+[green]`three` +
+`>>>` [blue]`list.(10)` +
+[red]`Eval Error: [1:9] index 10 out of bounds` +
+`>>>` [blue]`#list` +
+[green]`3`
 
 
 
 == Dictionaries
 The _dictionary_ data-type is set of pairs _key/value_. It is also known as _map_ or _associative array_. Dictionary literals are sequences of pairs separated by comma `,`; sequences are enclosed between brace brackets.
 
-.List examples
+.Dictionary examples
 [source,go]
 ----
 {1:"one", 2:"two"}
@@ -311,7 +328,7 @@ The _dictionary_ data-type is set of pairs _key/value_. It is also known as _map
 WARNING: Support for dictionaries is still ongoing.
 
 == Variables
-A variable is an identifier with an assigned value. Variables are stored in the object that implements the _ExprContext_ interface.
+A variable is an identifier with an assigned value. Variables are stored in the object that implements the Go _ExprContext_ interface, e.g. _SimpleVarStore_ or _SimpleFuncStore_.
 
 .Examples
 [source,go]
@@ -365,23 +382,30 @@ The _selector operator_ is very similar to the _switch/case/default_ statement a
 <multi-expression> ::= <expression> {";" <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 find 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 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.
 
 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.
 
-
 .Examples
 [source,go]
 ----
-1 ? {"a"} : {"b"}                           // returns "b"
-10 ? {"a"} : {"b"} :: {"c"}                 // returns "c"
-10 ? {"a"} :[true, 2+8] {"b"} :: {"c"}      // returns "b"
-10 ? {"a"} :[true, 2+8] {"b"} ::[10] {"c"}  // error:  "... case list in default clause"
-10 ? {"a"} :[10] {x="b" but x} :: {"c"}     // returns "b"
-10 ? {"a"} :[10] {x="b"; x} :: {"c"}        // returns "b"
-10 ? {"a"} : {"b"}                          // error:  "... no case catches the value (10) of the selection expression
+`>>>` [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`
+
 ----
 
 == Priorities of operators

doc/Expr.html

@@ -868,6 +868,28 @@ pre.rouge .ss {
 </tr>
 </tbody>
 </table>
+<div class="paragraph">
+<p>The items of strings can be accessed using the dot <code>.</code> operator.</p>
+</div>
+<div class="listingblock">
+<div class="title">Item access syntax</div>
+<div class="content">
+<pre class="rouge highlight"><code data-lang="bnf">&lt;item&gt; ::= &lt;string-expr&gt;"."&lt;index-expr&gt;</code></pre>
+</div>
+</div>
+<div class="paragraph">
+<div class="title">String examples</div>
+<p><code>&gt;&gt;&gt;</code> <code class="blue">s="abc"</code>  <em class="gray">assign the string to variable s</em><br>
+<code class="green">abc</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">s.1</code>      <em class="gray">char at position 1 (starting from 0)</em><br>
+<code class="green">b</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">s.(-1)</code>   <em class="gray">char at position -1, the rightmost one</em><br>
+<code class="green">c</code><br>
+<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>
+</div>
 </div>
 <div class="sect2">
 <h3 id="_boolean"><a class="anchor" href="#_boolean"></a><a class="link" href="#_boolean">2.4. Boolean</a></h3>
@@ -1059,23 +1081,22 @@ pre.rouge .ss {
 <pre class="rouge highlight"><code data-lang="bnf">&lt;item&gt; ::= &lt;list-expr&gt;"."&lt;index-expr&gt;</code></pre>
 </div>
 </div>
-<div class="listingblock">
+<div class="paragraph">
 <div class="title">Items of list</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">`[1,2,3].1`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`2`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`list=[1,2,3]; list.1`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`2`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`["one","two","three"].1`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`two`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`list=["one","two","three"]; list.(2-1)`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`two`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`list.(-1)`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`three`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`list.(-1)`</span>
-<span class="p">[</span><span class="n">green</span><span class="p">]</span><span class="s">`three`</span>
-<span class="s">`&gt;&gt;&gt;`</span> <span class="p">[</span><span class="n">blue</span><span class="p">]</span><span class="s">`list.(10)`</span></code></pre>
-</div>
+<p><code>&gt;&gt;&gt;</code> <code class="blue">[1,2,3].1</code><br>
+<code class="green">2</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">list=[1,2,3]; list.1</code><br>
+<code class="green">2</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">["one","two","three"].1</code><br>
+<code class="green">two</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">list=["one","two","three"]; list.(2-1)</code><br>
+<code class="green">two</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">list.(-1)</code><br>
+<code class="green">three</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">list.(10)</code><br>
+<code class="red">Eval Error: [1:9] index 10 out of bounds</code><br>
+<code>&gt;&gt;&gt;</code> <code class="blue">#list</code><br>
+<code class="green">3</code></p>
 </div>
 </div>
 </div>
@@ -1087,7 +1108,7 @@ pre.rouge .ss {
 <p>The <em>dictionary</em> data-type is set of pairs <em>key/value</em>. It is also known as <em>map</em> or <em>associative array</em>. Dictionary literals are sequences of pairs separated by comma <code>,</code>; sequences are enclosed between brace brackets.</p>
 </div>
 <div class="listingblock">
-<div class="title">List examples</div>
+<div class="title">Dictionary examples</div>
 <div class="content">
 <pre class="rouge highlight"><code data-lang="go"><span class="p">{</span><span class="m">1</span><span class="o">:</span><span class="s">"one"</span><span class="p">,</span> <span class="m">2</span><span class="o">:</span><span class="s">"two"</span><span class="p">}</span>
 <span class="p">{</span><span class="s">"one"</span><span class="o">:</span><span class="m">1</span><span class="p">,</span> <span class="s">"two"</span><span class="o">:</span> <span class="m">2</span><span class="p">}</span>
@@ -1112,7 +1133,7 @@ Support for dictionaries is still ongoing.
 <h2 id="_variables"><a class="anchor" href="#_variables"></a><a class="link" href="#_variables">4. Variables</a></h2>
 <div class="sectionbody">
 <div class="paragraph">
-<p>A variable is an identifier with an assigned value. Variables are stored in the object that implements the <em>ExprContext</em> interface.</p>
+<p>A variable is an identifier with an assigned value. Variables are stored in the object that implements the Go <em>ExprContext</em> interface, e.g. <em>SimpleVarStore</em> or <em>SimpleFuncStore</em>.</p>
 </div>
 <div class="listingblock">
 <div class="title">Examples</div>
@@ -1202,7 +1223,7 @@ The value on the left side of <code class="blue">=</code> must be an identifier.
 </div>
 </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 find 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 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>
 </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>
@@ -1213,13 +1234,21 @@ The value on the left side of <code class="blue">=</code> must be an identifier.
 <div class="listingblock">
 <div class="title">Examples</div>
 <div class="content">
-<pre class="rouge highlight"><code data-lang="go"><span class="m">1</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="c">// returns "b"</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="o">::</span> <span class="p">{</span><span class="s">"c"</span><span class="p">}</span>                 <span class="c">// returns "c"</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="c">// returns "b"</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="c">// error:  "... case list in default clause"</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="c">// returns "b"</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="c">// returns "b"</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="c">// error:  "... no case catches the value (10) of the selection expression</span></code></pre>
+<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>
 </div>
 </div>
 </div>
@@ -1490,7 +1519,7 @@ 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 2024-05-10 06:38:03 +0200
+Last updated 2024-05-11 20:13:17 +0200
 </div>
 </div>
 </body>

func-base.go

@@ -43,6 +43,11 @@ func isFractionFunc(ctx ExprContext, name string, args []any) (result any, err e
 	return
 }
 
+func isRationalFunc(ctx ExprContext, name string, args []any) (result any, err error) {
+	result = IsRational(args[0])
+	return
+}
+
 func isListFunc(ctx ExprContext, name string, args []any) (result any, err error) {
 	result = IsList(args[0])
 	return
@@ -53,30 +58,97 @@ func isDictionaryFunc(ctx ExprContext, name string, args []any) (result any, err
 	return
 }
 
-
 func intFunc(ctx ExprContext, name string, args []any) (result any, err error) {
-	if len(args) == 1 {
-		switch v := args[0].(type) {
-		case int64:
-			result = v
-		case float64:
-			result = int64(math.Trunc(v))
-		case bool:
-			if v {
-				result = int64(1)
-			} else {
-				result = int64(0)
-			}
-		case string:
-			var i int
-			if i, err = strconv.Atoi(v); err == nil {
-				result = int64(i)
-			}
-		default:
-			err = errCantConvert(name, v, "int")
+	switch v := args[0].(type) {
+	case int64:
+		result = v
+	case float64:
+		result = int64(math.Trunc(v))
+	case bool:
+		if v {
+			result = int64(1)
+		} else {
+			result = int64(0)
 		}
-	} else {
-		err = errOneParam(name)
+	case string:
+		var i int
+		if i, err = strconv.Atoi(v); err == nil {
+			result = int64(i)
+		}
+	default:
+		err = errCantConvert(name, v, "int")
+	}
+	return
+}
+
+func decFunc(ctx ExprContext, name string, args []any) (result any, err error) {
+	switch v := args[0].(type) {
+	case int64:
+		result = float64(v)
+	case float64:
+		result = v
+	case bool:
+		if v {
+			result = float64(1)
+		} else {
+			result = float64(0)
+		}
+	case string:
+		var f float64
+		if f, err = strconv.ParseFloat(v, 64); err == nil {
+			result = f
+		}
+	case *fraction:
+		result = v.toFloat()
+	default:
+		err = errCantConvert(name, v, "float")
+	}
+	return
+}
+
+func fractFunc(ctx ExprContext, name string, args []any) (result any, err error) {
+	switch v := args[0].(type) {
+	case int64:
+		var den int64 = 1
+		if len(args) > 1 {
+			var ok bool
+			if den, ok = args[1].(int64); !ok {
+				err = errExpectedGot(name, "integer", args[1])
+			} else if den == 0 {
+				err = errDivisionByZero(name)
+			}
+		}
+		if err == nil {
+			result = newFraction(v, den)
+		}
+	case float64:
+		result, err = float64ToFraction(v)
+		// var n, d int64
+		// if n, d, err = float64ToFraction(v); err == nil {
+		//	result = newFraction(n, d)
+		// }
+	case bool:
+		if v {
+			result = newFraction(1, 1)
+		} else {
+			result = newFraction(0, 1)
+		}
+	case string:
+		result, err = makeGeneratingFraction(v)
+		// var f float64
+		// // TODO temporary implementation
+		// if f, err = strconv.ParseFloat(v, 64); err == nil {
+		// 	var n, d int64
+		// 	if n, d, err = float64ToFraction(f); err == nil {
+		// 		result = newFraction(n, d)
+		// 	}
+		// } else {
+		// 	errors.New("convertion from string to float is ongoing")
+		// }
+	case *fraction:
+		result = v
+	default:
+		err = errCantConvert(name, v, "float")
 	}
 	return
 }
@@ -93,10 +165,13 @@ func ImportBuiltinsFuncs(ctx ExprContext) {
 	ctx.RegisterFunc("isString", &simpleFunctor{f: isStringFunc}, 1, 1)
 	ctx.RegisterFunc("isFraction", &simpleFunctor{f: isFractionFunc}, 1, 1)
 	ctx.RegisterFunc("isFract", &simpleFunctor{f: isFractionFunc}, 1, 1)
+	ctx.RegisterFunc("isRational", &simpleFunctor{f: isRationalFunc}, 1, 1)
 	ctx.RegisterFunc("isList", &simpleFunctor{f: isListFunc}, 1, 1)
 	ctx.RegisterFunc("isDictionary", &simpleFunctor{f: isDictionaryFunc}, 1, 1)
 	ctx.RegisterFunc("isDict", &simpleFunctor{f: isDictionaryFunc}, 1, 1)
 	ctx.RegisterFunc("int", &simpleFunctor{f: intFunc}, 1, 1)
+	ctx.RegisterFunc("dec", &simpleFunctor{f: decFunc}, 1, 1)
+	ctx.RegisterFunc("fract", &simpleFunctor{f: fractFunc}, 1, 2)
 }
 
 func init() {

funcs_test.go

@@ -57,16 +57,21 @@ func TestFuncs(t *testing.T) {
 		/*  44 */ {`builtin "string"; splitStr("one-two-three", "-", )`, newListA("one", "two", "three"), nil},
 		/*  45 */ {`isInt(2+1)`, true, nil},
 		/*  46 */ {`isInt(3.1)`, false, nil},
-		/*  46 */ {`isFloat(3.1)`, true, nil},
-		/*  47 */ {`isString("3.1")`, true, nil},
-		/*  48 */ {`isString("3" + 1)`, true, nil},
-		/*  49 */ {`isList(["3",  1])`, true, nil},
-		/*  50 */ {`isDict({"a":"3",  "b":1})`, true, nil},
-		/*  51 */ {`isFract(3|1)`, true, nil},
+		/*  47 */ {`isFloat(3.1)`, true, nil},
+		/*  48 */ {`isString("3.1")`, true, nil},
+		/*  49 */ {`isString("3" + 1)`, true, nil},
+		/*  50 */ {`isList(["3",  1])`, true, nil},
+		/*  51 */ {`isDict({"a":"3",  "b":1})`, true, nil},
+		/*  52 */ {`isFract(1|3)`, true, nil},
+		/*  53 */ {`isFract(3|1)`, false, nil},
+		/*  54 */ {`isRational(3|1)`, true, nil},
+		/*  55 */ {`builtin "math.arith"; add(1,2)`, int64(3), nil},
+		/*  56 */ {`fract("2.2(3)")`, newFraction(67, 30), nil},
+		/*  57 */ {`fract("1.21(3)")`, newFraction(91, 75), nil},
 	}
 
 	t.Setenv("EXPR_PATH", ".")
 
-	// parserTest(t, "Func", inputs[25:26])
+	//parserTest(t, "Func", inputs[54:55])
 	parserTest(t, "Func", inputs)
 }

global-context.go

@@ -0,0 +1,54 @@
+// Copyright (c) 2024 Celestino Amoroso (celestino.amoroso@gmail.com).
+// All rights reserved.
+
+// global-context.go
+package expr
+
+import "path/filepath"
+
+var globalCtx *SimpleFuncStore
+
+func ImportInContext(name string) (exists bool) {
+	var mod *module
+	if mod, exists = moduleRegister[name]; exists {
+		mod.importFunc(globalCtx)
+		mod.imported = true
+	}
+	return
+}
+
+func ImportInContextByGlobPattern(pattern string) (count int, err error) {
+	var matched bool
+	for name, mod := range moduleRegister {
+		if matched, err = filepath.Match(pattern, name); err == nil {
+			if matched {
+				count++
+				mod.importFunc(globalCtx)
+				mod.imported = true
+			}
+		} else {
+			break
+		}
+	}
+	return
+}
+
+func GetVar(ctx ExprContext, name string) (value any, exists bool) {
+	if value, exists = ctx.GetVar(name); !exists {
+		value, exists = globalCtx.GetVar(name)
+	}
+	return
+}
+
+func GetFuncInfo(ctx ExprContext, name string) (item ExprFunc, exists bool, ownerCtx ExprContext) {
+	if item, exists = ctx.GetFuncInfo(name); exists {
+		ownerCtx = ctx
+	} else if item, exists = globalCtx.GetFuncInfo(name); exists {
+		ownerCtx = globalCtx
+	}
+	return
+}
+
+func init() {
+	globalCtx = NewSimpleFuncStore()
+}

list_test.go

@@ -39,6 +39,7 @@ func TestListParser(t *testing.T) {
 		/*  17 */ {`list=["one","two","three"]; list.10`, nil, errors.New(`[1:36] index 10 out of bounds`)},
 		/*  18 */ {`["a", "b", "c"]`, newListA("a", "b", "c"), nil},
 		/*  19 */ {`["a", "b", "c"]`, newList([]any{"a", "b", "c"}), nil},
+		/*  20 */ {`#["a", "b", "c"]`, int64(3), nil},
 
 		// /*  8 */ {`[int(x)|x=csv("test.csv",1,all(),1)]`, []any{int64(10), int64(40), int64(20)}, nil},
 		// /*  9 */ {`sum(@[int(x)|x=csv("test.csv",1,all(),1)])`, []any{int64(10), int64(40), int64(20)}, nil},

module-register.go

@@ -6,7 +6,6 @@ package expr
 
 import (
 	"fmt"
-	"path/filepath"
 )
 
 type module struct {
@@ -31,30 +30,30 @@ func registerImport(name string, importFunc func(ExprContext), description strin
 	moduleRegister[name] = newModule(importFunc, description)
 }
 
-func ImportInContext(ctx ExprContext, name string) (exists bool) {
-	var mod *module
-	if mod, exists = moduleRegister[name]; exists {
-		mod.importFunc(ctx)
-		mod.imported = true
-	}
-	return
-}
+// func ImportInContext(ctx ExprContext, name string) (exists bool) {
+// 	var mod *module
+// 	if mod, exists = moduleRegister[name]; exists {
+// 		mod.importFunc(ctx)
+// 		mod.imported = true
+// 	}
+// 	return
+// }
 
-func ImportInContextByGlobPattern(ctx ExprContext, pattern string) (count int, err error) {
-	var matched bool
-	for name, mod := range moduleRegister {
-		if matched, err = filepath.Match(pattern, name); err == nil {
-			if matched {
-				count++
-				mod.importFunc(ctx)
-				mod.imported = true
-			}
-		} else {
-			break
-		}
-	}
-	return
-}
+// func ImportInContextByGlobPattern(ctx ExprContext, pattern string) (count int, err error) {
+// 	var matched bool
+// 	for name, mod := range moduleRegister {
+// 		if matched, err = filepath.Match(pattern, name); err == nil {
+// 			if matched {
+// 				count++
+// 				mod.importFunc(ctx)
+// 				mod.imported = true
+// 			}
+// 		} else {
+// 			break
+// 		}
+// 	}
+// 	return
+// }
 
 func IterateModules(op func(name, description string, imported bool) bool) {
 	if op != nil {

operand-func.go

@@ -23,7 +23,7 @@ func newFuncCallTerm(tk *Token, args []*term) *term {
 
 // -------- eval func call
 func checkFunctionCall(ctx ExprContext, name string, params []any) (err error) {
-	if info, exists := ctx.GetFuncInfo(name); exists {
+	if info, exists, owner := GetFuncInfo(ctx, name); exists {
 		if info.MinArgs() > len(params) {
 			if info.MaxArgs() < 0 {
 				err = fmt.Errorf("too few params -- expected %d or more, got %d", info.MinArgs(), len(params))
@@ -31,9 +31,12 @@ func checkFunctionCall(ctx ExprContext, name string, params []any) (err error) {
 				err = fmt.Errorf("too few params -- expected %d, got %d", info.MinArgs(), len(params))
 			}
 		}
-		if info.MaxArgs() >= 0 && info.MaxArgs() < len(params) {
+		if err == nil && info.MaxArgs() >= 0 && info.MaxArgs() < len(params) {
 			err = fmt.Errorf("too much params -- expected %d, got %d", info.MaxArgs(), len(params))
 		}
+		if err == nil && owner != ctx {
+			ctx.RegisterFunc(name, info.Functor(), info.MinArgs(), info.MaxArgs())
+		}
 	} else {
 		err = fmt.Errorf("unknown function %s()", name)
 	}

operand-var.go

@@ -24,8 +24,8 @@ func newVarTerm(tk *Token) *term {
 func evalVar(ctx ExprContext, self *term) (v any, err error) {
 	var exists bool
 	name := self.source()
-	if v, exists = ctx.GetVar(name); !exists {
-		if info, exists := ctx.GetFuncInfo(name); exists {
+	if v, exists = GetVar(ctx, name); !exists {
+		if info, exists, _ := GetFuncInfo(ctx, name); exists {
 			v = info.Functor()
 		} else {
 			err = fmt.Errorf("undefined variable or function %q", name)

operator-builtin.go

@@ -28,13 +28,13 @@ func evalBuiltin(ctx ExprContext, self *term) (v any, err error) {
 	count := 0
 	if IsString(childValue) {
 		module, _ := childValue.(string)
-		count, err = ImportInContextByGlobPattern(ctx, module)
+		count, err = ImportInContextByGlobPattern(module)
 	} else {
 		var moduleSpec any
 		it := NewAnyIterator(childValue)
 		for moduleSpec, err = it.Next(); err == nil; moduleSpec, err = it.Next() {
 			if module, ok := moduleSpec.(string); ok {
-				if ImportInContext(ctx, module) {
+				if ImportInContext(module) {
 					count++
 				} else {
 					err = self.Errorf("unknown module %q", module)

operator-fraction.go

@@ -7,6 +7,7 @@ package expr
 import (
 	"errors"
 	"fmt"
+	"math"
 	"strconv"
 	"strings"
 )
@@ -24,6 +25,134 @@ func newFraction(num, den int64) *fraction {
 	return &fraction{num, den}
 }
 
+func float64ToFraction(f float64) (fract *fraction, err error) {
+	var sign string
+	intPart, decPart := math.Modf(f)
+	if decPart < 0.0 {
+		sign="-"
+		intPart = -intPart
+		decPart = -decPart
+	}
+	dec := fmt.Sprintf("%.12f", decPart)
+	s := fmt.Sprintf("%s%.f%s", sign, intPart, dec[1:])
+	// fmt.Printf("S: '%s'\n",s)
+	return makeGeneratingFraction(s)
+}
+
+// Based on https://cs.opensource.google/go/go/+/refs/tags/go1.22.3:src/math/big/rat.go;l=39
+/*
+func _float64ToFraction(f float64) (num, den int64, err error) {
+	const expMask = 1<<11 - 1
+	bits := math.Float64bits(f)
+	mantissa := bits & (1<<52 - 1)
+	exp := int((bits >> 52) & expMask)
+	switch exp {
+	case expMask: // non-finite
+		err = errors.New("infite")
+		return
+	case 0: // denormal
+		exp -= 1022
+	default: // normal
+		mantissa |= 1 << 52
+		exp -= 1023
+	}
+
+	shift := 52 - exp
+
+	// Optimization (?): partially pre-normalise.
+	for mantissa&1 == 0 && shift > 0 {
+		mantissa >>= 1
+		shift--
+	}
+
+	if f < 0 {
+		num = -int64(mantissa)
+	} else {
+		num = int64(mantissa)
+	}
+	den = int64(1)
+
+	if shift > 0 {
+		den = den << shift
+	} else {
+		num = num << (-shift)
+	}
+	return
+}
+*/
+
+func makeGeneratingFraction(s string) (f *fraction, err error) {
+	var num, den int64
+	var sign int64 = 1
+	var parts []string
+	if len(s) == 0 {
+		goto exit
+	}
+	if s[0] == '-' {
+		sign=int64(-1)
+		s = s[1:]
+	} else if s[0] == '+' {
+		s = s[1:]
+	}
+	parts = strings.SplitN(s, ".", 2)
+	if num, err = strconv.ParseInt(parts[0], 10, 64); err != nil {
+		return
+	}
+	if len(parts) == 1 {
+		f = newFraction(sign*num, 1)
+	} else if len(parts) == 2 {
+		subParts := strings.SplitN(parts[1], "(", 2)
+		if len(subParts) == 1 {
+			den = 1
+			dec := parts[1]
+			lsd := len(dec)
+			for i:=lsd-1; i>= 0 && dec[i]=='0'; i-- {
+				lsd--
+			}
+			for _, c := range dec[0:lsd] {
+				if c < '0' || c > '9' {
+					return nil, errExpectedGot("fract", "digit", c)
+				}
+				num = num*10 + int64(c-'0')
+				den = den * 10
+			}
+			f = newFraction(sign*num, den)
+		} else if len(subParts) == 2 {
+			sub := num
+			mul := int64(1)
+			for _, c := range subParts[0] {
+				if c < '0' || c > '9' {
+					return nil, errExpectedGot("fract", "digit", c)
+				}
+				num = num*10 + int64(c-'0')
+				sub = sub*10 + int64(c-'0')
+				mul *= 10
+			}
+			if len(subParts) == 2 {
+				if s[len(s)-1] != ')' {
+					goto exit
+				}
+				p := subParts[1][0 : len(subParts[1])-1]
+				for _, c := range p {
+					if c < '0' || c > '9' {
+						return nil, errExpectedGot("fract", "digit", c)
+					}
+					num = num*10 + int64(c-'0')
+					den = den*10 + 9
+				}
+				den *= mul
+			}
+			num -= sub
+			f = newFraction(sign*num, den)
+		}
+	}
+exit:
+	if f == nil {
+		err = errors.New("bad syntax")
+	}
+	return
+}
+
 func (f *fraction) toFloat() float64 {
 	return float64(f.num) / float64(f.den)
 }
@@ -146,12 +275,12 @@ func lcm(a, b int64) (l int64) {
 
 func sumFract(f1, f2 *fraction) (sum *fraction) {
 	m := lcm(f1.den, f2.den)
-	sum = newFraction(f1.num*(m/f1.den) + f2.num*(m/f2.den), m)
+	sum = newFraction(f1.num*(m/f1.den)+f2.num*(m/f2.den), m)
 	return
 }
 
 func mulFract(f1, f2 *fraction) (prod *fraction) {
-	prod = newFraction(f1.num * f2.num, f1.den * f2.den)
+	prod = newFraction(f1.num*f2.num, f1.den*f2.den)
 	return
 }
 

operator-length.go

@@ -24,11 +24,14 @@ func evalLength(ctx ExprContext, self *term) (v any, err error) {
 	}
 
 	if IsList(childValue) {
-		list, _ := childValue.([]any)
-		v = int64(len(list))
+		ls, _ := childValue.(*ListType)
+		v = int64(len(*ls))
 	} else if IsString(childValue) {
 		s, _ := childValue.(string)
 		v = int64(len(s))
+	} else if IsDict(childValue) {
+		m, _ := childValue.(map[any]any)
+		v = int64(len(m))
 	} else if it, ok := childValue.(Iterator); ok {
 		if extIt, ok := childValue.(ExtIterator); ok && extIt.HasOperation(countName) {
 			count, _ := extIt.CallOperation(countName, nil)

parser.go

@@ -119,7 +119,7 @@ func (self *parser) parseFuncDef(scanner *scanner) (tree *term, err error) {
 	for lastSym != SymClosedRound && lastSym != SymEos {
 		tk = scanner.Next()
 		if tk.IsSymbol(SymIdentifier) {
-			param := newTerm(tk, nil)
+			param := newTerm(tk)
 			args = append(args, param)
 			tk = scanner.Next()
 		} else if itemExpected {

term-constuctor-registry.go

@@ -17,11 +17,10 @@ func registerTermConstructor(sym Symbol, constructor termContructor) {
 	constructorRegistry[sym] = constructor
 }
 
-func newTerm(tk *Token, parent *term) (inst *term) {
+func newTerm(tk *Token) (inst *term) {
 	if constructorRegistry != nil {
 		if construct, exists := constructorRegistry[tk.Sym]; exists {
 			inst = construct(tk)
-			inst.setParent(parent)
 		}
 	}
 	return

utils.go

@@ -44,6 +44,13 @@ func IsFract(v any) (ok bool) {
 	return ok
 }
 
+func IsRational(v any) (ok bool) {
+	if _, ok = v.(*fraction); !ok {
+		_, ok = v.(int64)
+	}
+	return ok
+}
+
 func IsNumber(v any) (ok bool) {
 	return IsFloat(v) || IsInteger(v)
 }