msyds/rlp
1
0
Fork 0
Code Issues 4 Pull Requests Actions Packages Projects Releases 2 Wiki Activity

bhick

Browse Source
This commit is contained in:
crumbtoo
2023-12-04 19:52:35 -07:00
parent cb7c4fed95
commit cb0de3b26b
23 changed files with 218 additions and 92 deletions
Download Patch File Download Diff File Expand all files Collapse all files

BIN
doc/build/doctrees/commentary/gm.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/commentary/layout-lexing.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/commentary/ti.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/environment.pickle vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/glossary.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/index.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/references/gm-state-transitions.doctree vendored
View File

Binary file not shown.

BIN
doc/build/doctrees/references/ti-state-transitions.doctree vendored
View File

Binary file not shown.

2
doc/build/html/.buildinfo vendored
View File

@@ -1,4 +1,4 @@
# Sphinx build info version 1
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
config: c908097bffb8af037d3087e1a2a33716
config: 5e2d340d1e45c11873a642aae3004db1
tags: 645f666f9bcd5a90fca523b33c5a78b7

64
doc/build/html/_sources/references/gm-state-transitions.rst.txt vendored
View File

@@ -147,6 +147,29 @@ Core Transition Rules
& m
}
#. Again, building on the previous rules, this rule makes the machine consider
unapplied supercombinators to be in WHNF
.. math::
\gmrule
{ \mathtt{Unwind} : \nillist
& a_0 : \ldots : a_n : \nillist
& \langle i, s \rangle : d
& h
\begin{bmatrix}
a_0 : \mathtt{NGlobal} \; k \; c
\end{bmatrix}
& m
}
{ i
& a_n : s
& d
& h
& m \\
\SetCell[c=2]{c}
\text{when $n < k$}
}
#. If an application is on top of the stack, :code:`Unwind` continues unwinding
.. math::
@@ -340,28 +363,47 @@ Core Transition Rules
& m
}
#. Consider unapplied functions to be in WHNF
#. Pack a constructor if there are sufficient arguments
.. math::
\gmrule
{ \mathtt{Unwind} : \nillist
& a_0 : \ldots : a_n : \nillist
& \langle i, s \rangle : d
{ \mathtt{Pack} \; t \; n : i
& a_1 : \ldots : a_n : s
& d
& h
\begin{bmatrix}
a_0 : \mathtt{NGlobal} \; k \; c
\end{bmatrix}
& m
}
{ i
& a_n : s
& a : s
& d
& h
& m \\
\SetCell[c=2]{c}
\text{when $n < k$}
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; [a_1,\ldots,a_n]
\end{bmatrix}
& m
}
#. Evaluate a case
.. math::
\gmrule
{ \mathtt{CaseJump} \begin{bmatrix} t \to c \end{bmatrix} : i
& a : s
& d
& h
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; v
\end{bmatrix}
& m
}
{ c \concat i
& d
& h
& m
}
***************
Extension Rules
***************

2
doc/build/html/commentary/gm.html vendored
View File

@@ -42,7 +42,7 @@ heap nodes for supercombinators hold uninstantiated expressions, i.e. raw ASTs
straight from the parser. When a supercombinator is found on the stack during
evaluation, the template expression is instantiated (compiled) on the spot.</p>
<div class="math">
<p><img src="../_images/math/20219b0570be52c3f596972c4cd5461a162cccf9.svg" alt="\transrule
<p><img src="../_images/math/80185f417c32abbbd850f4429d27d4111dd55ce6.svg" alt="\transrule
{ a_0 : a_1 : \ldots : a_n : s
&amp; d
&amp; h

22
doc/build/html/commentary/layout-lexing.html vendored
View File

@@ -130,10 +130,10 @@ select few keywords, (with a minor exception; TODO: elaborate) being <code class
<code class="code docutils literal notranslate"><span class="pre">do</span></code> (followed by expressions), and <code class="code docutils literal notranslate"><span class="pre">of</span></code> (followed by alternatives)
(TODO: all of these terms need linked glossary entries). In order to manage the
cascade of layout contexts, our lexer will record a stack for which each element
is either <img class="math" src="../_images/math/66eb37710389b629d7ffa626fb55276426bef938.svg" alt="\varnothing" style="vertical-align: -2px"/>, denoting an explicit layout written with braces
and semicolons, or a <img class="math" src="../_images/math/d04fe0dc2dd02e9d27dfd46e93827894feb96d1f.svg" alt="\langle n \rangle" style="vertical-align: -5px"/>, denoting an implicitly laid-out
is either <img class="math" src="../_images/math/6faf6a045e27fb9580834eb16635f0b1b12383f7.svg" alt="\varnothing" style="vertical-align: -2px"/>, denoting an explicit layout written with braces
and semicolons, or a <img class="math" src="../_images/math/e5dd0a588910147c24912f9e7af7b4d0341033f0.svg" alt="\langle n \rangle" style="vertical-align: -5px"/>, denoting an implicitly laid-out
layout where the start of each item belonging to the layout is indented
<img class="math" src="../_images/math/4713e4c065d6aabec3acece28c5ecc882faa119a.svg" alt="n" style="vertical-align: 0px"/> columns.</p>
<img class="math" src="../_images/math/dd0f75121d1d307be1181c273815e8532abda5ff.svg" alt="n" style="vertical-align: 0px"/> columns.</p>
<div class="highlight-haskell notranslate"><div class="highlight"><pre><span></span><span class="c1">-- layout stack: []</span>
<span class="kr">module</span><span class="w"> </span><span class="nn">M</span><span class="w"> </span><span class="kr">where</span><span class="w"> </span><span class="c1">-- layout stack: [∅]</span>
@@ -154,9 +154,9 @@ implicitly inserted by the compiler. With the presented ideas in mind, we may
begin to introduce a small set of informal rules describing the lexer’s handling
of layouts, the first being:</p>
<ol class="arabic simple">
<li><p>If a layout keyword is followed by the token ‘{’, push <img class="math" src="../_images/math/66eb37710389b629d7ffa626fb55276426bef938.svg" alt="\varnothing" style="vertical-align: -2px"/>
onto the layout context stack. Otherwise, push <img class="math" src="../_images/math/d04fe0dc2dd02e9d27dfd46e93827894feb96d1f.svg" alt="\langle n \rangle" style="vertical-align: -5px"/> onto
the layout context stack where <img class="math" src="../_images/math/4713e4c065d6aabec3acece28c5ecc882faa119a.svg" alt="n" style="vertical-align: 0px"/> is the indentation of the token
<li><p>If a layout keyword is followed by the token ‘{’, push <img class="math" src="../_images/math/6faf6a045e27fb9580834eb16635f0b1b12383f7.svg" alt="\varnothing" style="vertical-align: -2px"/>
onto the layout context stack. Otherwise, push <img class="math" src="../_images/math/e5dd0a588910147c24912f9e7af7b4d0341033f0.svg" alt="\langle n \rangle" style="vertical-align: -5px"/> onto
the layout context stack where <img class="math" src="../_images/math/dd0f75121d1d307be1181c273815e8532abda5ff.svg" alt="n" style="vertical-align: 0px"/> is the indentation of the token
following the layout keyword. Additionally, the lexer is to insert a virtual
opening brace after the token representing the layout keyword.</p></li>
</ol>
@@ -179,10 +179,10 @@ numeric value – is referred to as <em>offside</em> by myself internally and th
Haskell report describing layouts. We informally formalise this rule as follows:</p>
<ol class="arabic simple" start="2">
<li><p>When the first token on a line is preceeded only by whitespace, if the
token’s first grapheme resides on a column number <img class="math" src="../_images/math/422ce4de46a354723a0f5b33995d885c86bb0e70.svg" alt="m" style="vertical-align: 0px"/> equal to the
indentation level of the enclosing context – i.e. the <img class="math" src="../_images/math/c067c4215cbfc6897d6e5eaf14ded0dc221b972c.svg" alt="\langle n
token’s first grapheme resides on a column number <img class="math" src="../_images/math/3fe28d6b2db64823422b040f22663ee146752df9.svg" alt="m" style="vertical-align: 0px"/> equal to the
indentation level of the enclosing context – i.e. the <img class="math" src="../_images/math/e867fb287fff102859aafc9f9cdf2bdef24793c1.svg" alt="\langle n
\rangle" style="vertical-align: -5px"/> on top of the layout stack. Should no such context exist on the
stack, assume <img class="math" src="../_images/math/3fa33eeafbc80a0bcf2766e8f56e9cb2b6148e79.svg" alt="m &gt; n" style="vertical-align: -1px"/>.</p></li>
stack, assume <img class="math" src="../_images/math/7752bffe36066cce1a71cee99ba78f9a8de27750.svg" alt="m &gt; n" style="vertical-align: -1px"/>.</p></li>
</ol>
<p>We have an idea of how to begin layouts, delimit the enclosed items, and last
we’ll need to end layouts. This is where the distinction between virtual and
@@ -192,7 +192,7 @@ This will be elaborated on in the next section. For now, we will be content with
naïvely inserting a virtual closing brace when a token is indented right of the
layout.</p>
<ol class="arabic simple" start="3">
<li><p>Under the same conditions as rule 2., when <img class="math" src="../_images/math/d696439e8724d5b54e9b4b344b9c99d0facc8b7c.svg" alt="m &lt; n" style="vertical-align: -1px"/> the lexer shall
<li><p>Under the same conditions as rule 2., when <img class="math" src="../_images/math/621c205d829260a0ef518dbf23fd02478575f1d5.svg" alt="m &lt; n" style="vertical-align: -1px"/> the lexer shall
insert a virtual closing brace and pop the layout stack.</p></li>
</ol>
<p>This rule covers some cases including the top-level, however, consider
@@ -271,7 +271,7 @@ system, see <a class="reference external" href="https://www.haskell.org/onlinere
</ul>
<p class="caption" role="heading"><span class="caption-text">References</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="../references/gm-state-transition-rules.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="../references/gm-state-transitions.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="../references/ti-state-transitions.html">Template Instantiator State Transition Rules</a></li>
</ul>

6
doc/build/html/commentary/ti.html vendored
View File

@@ -13,7 +13,7 @@
<script src="../_static/sphinx_highlight.js?v=dc90522c"></script>
<link rel="index" title="Index" href="../genindex.html" />
<link rel="search" title="Search" href="../search.html" />
<link rel="next" title="G-Machine State Transition Rules" href="../references/gm-state-transition-rules.html" />
<link rel="next" title="G-Machine State Transition Rules" href="../references/gm-state-transitions.html" />
<link rel="prev" title="Lexing, Parsing, and Layouts" href="layout-lexing.html" />
<link rel="stylesheet" href="../_static/custom.css" type="text/css" />
@@ -66,7 +66,7 @@ machine.</p>
</ul>
<p class="caption" role="heading"><span class="caption-text">References</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="../references/gm-state-transition-rules.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="../references/gm-state-transitions.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="../references/ti-state-transitions.html">Template Instantiator State Transition Rules</a></li>
</ul>
@@ -75,7 +75,7 @@ machine.</p>
<ul>
<li><a href="../index.html">Documentation overview</a><ul>
<li>Previous: <a href="layout-lexing.html" title="previous chapter">Lexing, Parsing, and Layouts</a></li>
<li>Next: <a href="../references/gm-state-transition-rules.html" title="next chapter">G-Machine State Transition Rules</a></li>
<li>Next: <a href="../references/gm-state-transitions.html" title="next chapter">G-Machine State Transition Rules</a></li>
</ul></li>
</ul>
</div>

2
doc/build/html/glossary.html vendored
View File

@@ -76,7 +76,7 @@ code using alignment and newlines.</p>
</ul>
<p class="caption" role="heading"><span class="caption-text">References</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="references/gm-state-transition-rules.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="references/gm-state-transitions.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="references/ti-state-transitions.html">Template Instantiator State Transition Rules</a></li>
</ul>

104
doc/build/html/references/gm-state-transitions.html vendored
View File

@@ -38,7 +38,7 @@
<ol class="arabic">
<li><p>Lookup a global by name and push its value onto the stack</p>
<div class="math">
<p><img src="../_images/math/18d81e1fc22e6feb876a993fe30fd9e8336f5bf6.svg" alt="\gmrule
<p><img src="../_images/math/60f03d9ff8b2e1f335d16830ee203156e6d3a0e0.svg" alt="\gmrule
{ \mathtt{PushGlobal} \; f : i
&amp; s
&amp; d
@@ -58,7 +58,7 @@
<li><p>Allocate an int node on the heap, and push the address of the newly created
node onto the stack</p>
<div class="math">
<p><img src="../_images/math/ed6af2733291dcf5001173a8dbaf8f59c817212a.svg" alt="\gmrule
<p><img src="../_images/math/0fabf97e10f5c112eb5642765c57eee467a61a24.svg" alt="\gmrule
{ \mathtt{PushInt} \; n : i
&amp; s
&amp; d
@@ -79,7 +79,7 @@ node onto the stack</p>
the address directly below it. The address of the application node is pushed
onto the stack.</p>
<div class="math">
<p><img src="../_images/math/607985174357bbbea2e2b47ab0694b2d21a71b35.svg" alt="\gmrule
<p><img src="../_images/math/9d2842813d1c6c9703d6ebe1e7eeaf0d7ae121a6.svg" alt="\gmrule
{ \mathtt{MkAp} : i
&amp; f : x : s
&amp; d
@@ -98,7 +98,7 @@ onto the stack.</p>
</div></li>
<li><p>Push a function’s argument onto the stack</p>
<div class="math">
<p><img src="../_images/math/643dd082a2b49d9ebdb87533aac62fdd342f4fd5.svg" alt="\gmrule
<p><img src="../_images/math/172a9e6498882cf2bfd038cf83d83f03e4c0313f.svg" alt="\gmrule
{ \mathtt{Push} \; n : i
&amp; a_0 : \ldots : a_n : s
&amp; d
@@ -114,7 +114,7 @@ onto the stack.</p>
</div></li>
<li><p>Tidy up the stack after instantiating a supercombinator</p>
<div class="math">
<p><img src="../_images/math/f02d55fb6c249a7da5a9df6b7e5c96ab6be7672b.svg" alt="\gmrule
<p><img src="../_images/math/4924a6c6d457db21cd5e02efdc8efd2af4210a19.svg" alt="\gmrule
{ \mathtt{Slide} \; n : i
&amp; a_0 : \ldots : a_n : s
&amp; d
@@ -133,7 +133,7 @@ top of the stack, <code class="code docutils literal notranslate"><span class="p
where the dump is <strong>not</strong> empty, the instruction queue and stack is restored
from the top.</p>
<div class="math">
<p><img src="../_images/math/2417422cdf63ed202b16462208f8a62630f99679.svg" alt="\gmrule
<p><img src="../_images/math/efc4a40c79bae27675f22ac6011dde9806c845b9.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a : s
&amp; \langle i', s' \rangle : d
@@ -153,7 +153,7 @@ from the top.</p>
<li><p>Bulding on the previous rule, in the case where the dump <strong>is</strong> empty, leave
the machine in a halt state (i.e. with an empty instruction queue).</p>
<div class="math">
<p><img src="../_images/math/60f4e38bb9ff4a7bcb201e82cb956a3ccf064632.svg" alt="\gmrule
<p><img src="../_images/math/fd11e2b1ffa20589ec72bb3f1ba70c82573f3f84.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a : s
&amp; \nillist
@@ -170,9 +170,31 @@ the machine in a halt state (i.e. with an empty instruction queue).</p>
&amp; m
}"/></p>
</div></li>
<li><p>Again, building on the previous rules, this rule makes the machine consider
unapplied supercombinators to be in WHNF</p>
<div class="math">
<p><img src="../_images/math/36a64918095793044bc603da838873e5db145350.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a_0 : \ldots : a_n : \nillist
&amp; \langle i, s \rangle : d
&amp; h
\begin{bmatrix}
a_0 : \mathtt{NGlobal} \; k \; c
\end{bmatrix}
&amp; m
}
{ i
&amp; a_n : s
&amp; d
&amp; h
&amp; m \\
\SetCell[c=2]{c}
\text{when $n &lt; k$}
}"/></p>
</div></li>
<li><p>If an application is on top of the stack, <code class="code docutils literal notranslate"><span class="pre">Unwind</span></code> continues unwinding</p>
<div class="math">
<p><img src="../_images/math/b04167eaade600ab592e2a4441ffc27f5268cccf.svg" alt="\gmrule
<p><img src="../_images/math/428dd88b1a0f02d8880a57efc2aff1aff732e58b.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a : s
&amp; d
@@ -191,9 +213,9 @@ the machine in a halt state (i.e. with an empty instruction queue).</p>
</div></li>
<li><p>When a supercombinator is on top of the stack (and the correct number of
arguments have been provided), <code class="code docutils literal notranslate"><span class="pre">Unwind</span></code> sets up the stack and jumps to
the supercombinator’s code (<img class="math" src="../_images/math/90592e982322fa08f1b8ae0e6bcdaca11fc8de59.svg" alt="\beta" style="vertical-align: -4px"/>-reduction)</p>
the supercombinator’s code (<img class="math" src="../_images/math/4e04b3f70eef23aff9592405c5b32293f5f8f3d0.svg" alt="\beta" style="vertical-align: -4px"/>-reduction)</p>
<div class="math">
<p><img src="../_images/math/2dc5e48f0f26f08073e6e1cdd70ff876c6ec2434.svg" alt="\gmrule
<p><img src="../_images/math/022f085a854e1a5039b4ce9ff514ae19e6e5731d.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a_0 : \ldots : a_n : s
&amp; d
@@ -215,7 +237,7 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
</div></li>
<li><p>Pop the stack, and update the nth node to point to the popped address</p>
<div class="math">
<p><img src="../_images/math/e299a147e6e958303111e813e82a3507ded25437.svg" alt="\gmrule
<p><img src="../_images/math/1e7730846a205754c25caa9bc83215d4c9a2fd0f.svg" alt="\gmrule
{ \mathtt{Update} \; n : i
&amp; e : f : a_1 : \ldots : a_n : s
&amp; d
@@ -239,7 +261,7 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
</div></li>
<li><p>Pop the stack.</p>
<div class="math">
<p><img src="../_images/math/aec9099fc8c459eb433947bd6c9cc0f96fe38f98.svg" alt="\gmrule
<p><img src="../_images/math/a8350470d1099f2c9d25787f232cd6d48128e2b9.svg" alt="\gmrule
{ \mathtt{Pop} \; n : i
&amp; a_1 : \ldots : a_n : s
&amp; d
@@ -255,7 +277,7 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
</div></li>
<li><p>Follow indirections while unwinding</p>
<div class="math">
<p><img src="../_images/math/7648bfc0796ff33966fbc002c446b2242d296fd9.svg" alt="\gmrule
<p><img src="../_images/math/7b51ed63c4f01626ae64caca9b8aa37ef8c04e3e.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a : s
&amp; d
@@ -274,7 +296,7 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
</div></li>
<li><p>Allocate uninitialised heap space</p>
<div class="math">
<p><img src="../_images/math/5380d8227d0a06608b108a26b4a618972b4b7e28.svg" alt="\gmrule
<p><img src="../_images/math/59c33027716f0d0c66a4cabdbb821415f2b561d5.svg" alt="\gmrule
{ \mathtt{Alloc} \; n : i
&amp; s
&amp; d
@@ -295,7 +317,7 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
</div></li>
<li><p>Evaluate the top of the stack to WHNF</p>
<div class="math">
<p><img src="../_images/math/ce745b5797483cfcb6ff4816364d91d3d5b6e6c4.svg" alt="\gmrule
<p><img src="../_images/math/99ee76fb86a35795feb0b604d9fa8f46e6bcbbc8.svg" alt="\gmrule
{ \mathtt{Eval} : i
&amp; a : s
&amp; d
@@ -309,9 +331,9 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
&amp; m
}"/></p>
</div></li>
<li><p>Reduce a primitive binary operator <img class="math" src="../_images/math/43434266ad5b9f36d523d70ff88db5c4e9366b03.svg" alt="*" style="vertical-align: 0px"/>.</p>
<li><p>Reduce a primitive binary operator <img class="math" src="../_images/math/a5e51bd4f30d980b8599ff18ffd339c6d844d9e8.svg" alt="*" style="vertical-align: 0px"/>.</p>
<div class="math">
<p><img src="../_images/math/176a0e2360b1e342041d8129c3a264321ae806ce.svg" alt="\gmrule
<p><img src="../_images/math/6618a79153ccc671049ed4fb1f9cbf31b272d53c.svg" alt="\gmrule
{ * : i
&amp; a_1 : a_2 : s
&amp; d
@@ -332,9 +354,9 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
&amp; m
}"/></p>
</div></li>
<li><p>Reduce a primitive unary operator <img class="math" src="../_images/math/604a42b94739b04fa9559a97c3703816bf57aa5c.svg" alt="\neg" style="vertical-align: 0px"/>.</p>
<li><p>Reduce a primitive unary operator <img class="math" src="../_images/math/2d33478fc695c01e3ba58758bbdc809235dc6a3e.svg" alt="\neg" style="vertical-align: 0px"/>.</p>
<div class="math">
<p><img src="../_images/math/6de99ea1d6d13dbeedcdfcf7e3807cdd4f2e8594.svg" alt="\gmrule
<p><img src="../_images/math/fd61456b36d2327ea4950605d2e282d6a362685c.svg" alt="\gmrule
{ \neg : i
&amp; a : s
&amp; d
@@ -354,25 +376,41 @@ the supercombinator’s code (<img class="math" src="../_images/math/90592e98232
&amp; m
}"/></p>
</div></li>
<li><p>Consider unapplied functions to be in WHNF</p>
<li><p>Pack a constructor if there are sufficient arguments</p>
<div class="math">
<p><img src="../_images/math/702f28367db2bbf757f819d55f238962369384ad.svg" alt="\gmrule
{ \mathtt{Unwind} : \nillist
&amp; a_0 : \ldots : a_n : \nillist
&amp; \langle i, s \rangle : d
<p><img src="../_images/math/ceba2ed1f0be639cb0841ed19d1980c77657c74b.svg" alt="\gmrule
{ \mathtt{Pack} \; t \; n : i
&amp; a_1 : \ldots : a_n : s
&amp; d
&amp; h
\begin{bmatrix}
a_0 : \mathtt{NGlobal} \; k \; c
\end{bmatrix}
&amp; m
}
{ i
&amp; a_n : s
&amp; a : s
&amp; d
&amp; h
&amp; m \\
\SetCell[c=2]{c}
\text{when $n &lt; k$}
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; [a_1,\ldots,a_n]
\end{bmatrix}
&amp; m
}"/></p>
</div></li>
<li><p>Evaluate a case</p>
<div class="math">
<p><img src="../_images/math/23e5e14aff97d56bdcb7e5847a5610baaa4b3040.svg" alt="\gmrule
{ \mathtt{CaseJump} \begin{bmatrix} t \to c \end{bmatrix} : i
&amp; a : s
&amp; d
&amp; h
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; v
\end{bmatrix}
&amp; m
}
{ c \concat i
&amp; d
&amp; h
&amp; m
}"/></p>
</div></li>
</ol>
@@ -388,7 +426,7 @@ this by modifying Core Rule 2 to update the global environment with the new
node’s address. Consider how this rule might impact garbage collection
(remember that the environment is intended for <em>globals</em>).</p>
<div class="math">
<p><img src="../_images/math/0fc7c9df5cc4f923f6953e615c1f28a6531c0b68.svg" alt="\gmrule
<p><img src="../_images/math/e8e88c3770a0c3cf4169abbee703c4a6bcffc0f5.svg" alt="\gmrule
{ \mathtt{PushInt} \; n : i
&amp; s
&amp; d
@@ -414,7 +452,7 @@ node’s address. Consider how this rule might impact garbage collection
<li><p>In order for the previous rule to be effective, we are also required to take
action when a number already exists in the environment:</p>
<div class="math">
<p><img src="../_images/math/d56941a661a880391bd898f16e5dcf9c0b8a7e59.svg" alt="\gmrule
<p><img src="../_images/math/321b47cc7986e581fdc26fb6b63195c1cf5409a2.svg" alt="\gmrule
{ \mathtt{PushInt} \; n : i
&amp; s
&amp; d

44
doc/build/html/references/ti-state-transitions.html vendored
View File

@@ -13,7 +13,7 @@
<script src="../_static/sphinx_highlight.js?v=dc90522c"></script>
<link rel="index" title="Index" href="../genindex.html" />
<link rel="search" title="Search" href="../search.html" />
<link rel="prev" title="G-Machine State Transition Rules" href="gm-state-transition-rules.html" />
<link rel="prev" title="G-Machine State Transition Rules" href="gm-state-transitions.html" />
<link rel="stylesheet" href="../_static/custom.css" type="text/css" />
@@ -35,7 +35,7 @@
<p>Evaluation is complete when a single <code class="code docutils literal notranslate"><span class="pre">NNum</span></code> remains on the stack and the
dump is empty.</p>
<div class="math">
<p><img src="../_images/math/90d7e53e2606d1ffdcc0d85fcc0be2db9b919797.svg" alt="\transrule
<p><img src="../_images/math/96cf11c4b33f0179fcb72d62060f25fc6fa8b550.svg" alt="\transrule
{ a : \nillist
&amp; \nillist
&amp; h
@@ -48,7 +48,7 @@ dump is empty.</p>
}"/></p>
</div><p>Dereference an indirection passed as an argument to a function.</p>
<div class="math">
<p><img src="../_images/math/2e21d478eedaa358bccb9aa3c57a5b290e671863.svg" alt="\transrule
<p><img src="../_images/math/ecdbb83ab452d27fcd79c1567929508177d87f1f.svg" alt="\transrule
{a : s &amp; d &amp; h
\begin{bmatrix}
a : \mathtt{NAp} \; a_1 \; a_2 \\
@@ -57,16 +57,16 @@ dump is empty.</p>
{a : s &amp; d &amp; h[a : \mathtt{NAp} \; a_1 \; a_3] &amp; g}"/></p>
</div><p>Dereference an indirection on top of the stack.</p>
<div class="math">
<p><img src="../_images/math/d30cef88d057bcc5920fca7d63d0682f802d9006.svg" alt="\transrule
<p><img src="../_images/math/f51999c7c2b53f5ff66f0d4f339a64b99dccbbc0.svg" alt="\transrule
{p : s &amp; d &amp; h
\begin{bmatrix}
p : \mathtt{NInd} \; a
\end{bmatrix} &amp; g}
{a : s &amp; d &amp; h &amp; g}"/></p>
</div><p>Perform a unary operation <img class="math" src="../_images/math/6bdb1b0b4006f5b62d10449cd280f311f4cf12f8.svg" alt="o(n)" style="vertical-align: -5px"/> with internal <code class="code docutils literal notranslate"><span class="pre">Prim</span></code> constructor
</div><p>Perform a unary operation <img class="math" src="../_images/math/11e676863b0ccfe854bc89167c23a5bd514bf5f9.svg" alt="o(n)" style="vertical-align: -5px"/> with internal <code class="code docutils literal notranslate"><span class="pre">Prim</span></code> constructor
<code class="code docutils literal notranslate"><span class="pre">O</span></code> on an argument in normal form.</p>
<div class="math">
<p><img src="../_images/math/e4dc66520823a07e0df31b43dda92f9b2ea9e792.svg" alt="\transrule
<p><img src="../_images/math/c2ff2f8e287ecf001479d047291f611c49ae7bde.svg" alt="\transrule
{ f : a : s
&amp; d
&amp; h
@@ -88,7 +88,7 @@ dump is empty.</p>
</div><p>Evaluate the argument of a unary operation with internal <code class="code docutils literal notranslate"><span class="pre">Prim</span></code>
constructor <code class="code docutils literal notranslate"><span class="pre">O</span></code>.</p>
<div class="math">
<p><img src="../_images/math/620e45afe56ccc0dae7d9566d244b13bb6cb0631.svg" alt="\transrule
<p><img src="../_images/math/226b15d1faaf510988b3ca3cb75ddd6c120c53ea.svg" alt="\transrule
{ f : a : \nillist
&amp; d
&amp; h
@@ -105,7 +105,7 @@ constructor <code class="code docutils literal notranslate"><span class="pre">O<
}"/></p>
</div><p>Restore the stack when a sub-computation has completed.</p>
<div class="math">
<p><img src="../_images/math/4d427448f9b8b54db19e316c805033a7abfe11d2.svg" alt="\transrule
<p><img src="../_images/math/1c0e1003d2e9980d635c8e79475e53226b5e7264.svg" alt="\transrule
{ a : \nillist
&amp; s : d
&amp; h
@@ -119,9 +119,9 @@ constructor <code class="code docutils literal notranslate"><span class="pre">O<
&amp; h
&amp; g
}"/></p>
</div><p>Reduce a supercombinator and update the root with the <img class="math" src="../_images/math/90592e982322fa08f1b8ae0e6bcdaca11fc8de59.svg" alt="\beta" style="vertical-align: -4px"/>-reduced form</p>
</div><p>Reduce a supercombinator and update the root with the <img class="math" src="../_images/math/4e04b3f70eef23aff9592405c5b32293f5f8f3d0.svg" alt="\beta" style="vertical-align: -4px"/>-reduced form</p>
<div class="math">
<p><img src="../_images/math/20219b0570be52c3f596972c4cd5461a162cccf9.svg" alt="\transrule
<p><img src="../_images/math/80185f417c32abbbd850f4429d27d4111dd55ce6.svg" alt="\transrule
{ a_0 : a_1 : \ldots : a_n : s
&amp; d
&amp; h
@@ -138,10 +138,10 @@ constructor <code class="code docutils literal notranslate"><span class="pre">O<
&amp; \SetCell[c=3]{c}
\text{where } h' = \mathtt{instantiateU} \; e \; a_n \; h \; g
}"/></p>
</div><p>Perform a binary operation <img class="math" src="../_images/math/c9ac657e040edf18bbbf248d15d73ab640a93f2d.svg" alt="o(x,y)" style="vertical-align: -5px"/> associated with internal <code class="code docutils literal notranslate"><span class="pre">Prim</span></code>
</div><p>Perform a binary operation <img class="math" src="../_images/math/70ba514f09b40f948e1a3673347f656c7dc33f27.svg" alt="o(x,y)" style="vertical-align: -5px"/> associated with internal <code class="code docutils literal notranslate"><span class="pre">Prim</span></code>
constructor <code class="code docutils literal notranslate"><span class="pre">O</span></code> on two <code class="code docutils literal notranslate"><span class="pre">NNum</span></code> s both in normal form.</p>
<div class="math">
<p><img src="../_images/math/7c31cda93cce15a6bef0ecb07b4221f15d15cc9f.svg" alt="\transrule
<p><img src="../_images/math/703648dab56048f07869054b5257b846f55a4dec.svg" alt="\transrule
{ f : a_1 : a_2 : s
&amp; d
&amp; h
@@ -163,7 +163,7 @@ constructor <code class="code docutils literal notranslate"><span class="pre">O<
</div><p>In a conditional primitive, perform the reduction if the condition has been
evaluated as True (<code class="code docutils literal notranslate"><span class="pre">NData</span> <span class="pre">1</span> <span class="pre">[]</span></code>).</p>
<div class="math">
<p><img src="../_images/math/1543958253280895e6abea369c0f9abf4898649c.svg" alt="\transrule
<p><img src="../_images/math/d9911cffb6ee41316d3f017754491dab76c920a9.svg" alt="\transrule
{ f : a_1 : a_2 : a_3 : s
&amp; d
&amp; h
@@ -184,7 +184,7 @@ evaluated as True (<code class="code docutils literal notranslate"><span class="
</div><p>In a conditional primitive, perform the reduction if the condition has been
evaluated as False (<code class="code docutils literal notranslate"><span class="pre">NData</span> <span class="pre">0</span> <span class="pre">[]</span></code>).</p>
<div class="math">
<p><img src="../_images/math/6d95eec30809d2f72c4d645e69ee6ba5fd3f0767.svg" alt="\transrule
<p><img src="../_images/math/11e48d7396763a8f0e16cba061b46966844e3191.svg" alt="\transrule
{ f : a_1 : a_2 : a_3 : s
&amp; d
&amp; h
@@ -204,7 +204,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
}"/></p>
</div><p>In a conditional primitive, evaluate the condition.</p>
<div class="math">
<p><img src="../_images/math/625a1ccce064b171eb9d5ec015e07d234ef26c74.svg" alt="\transrule
<p><img src="../_images/math/4480a4e8409efd17a2bb57789e584bba66af268c.svg" alt="\transrule
{ f : a_1 : \nillist
&amp; d
&amp; h
@@ -221,7 +221,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
}"/></p>
</div><p>Construct <code class="code docutils literal notranslate"><span class="pre">NData</span></code> out of a constructor and its arguments</p>
<div class="math">
<p><img src="../_images/math/b0285722e6eed4a0fa69945efe4dfe0fbe124582.svg" alt="\transrule
<p><img src="../_images/math/8d27e16980b44cbe4694fb91353c71239780608d.svg" alt="\transrule
{ c : a_1 : \ldots : a_n : \nillist
&amp; d
&amp; h
@@ -245,7 +245,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
<h2>Pairs<a class="headerlink" href="#pairs" title="Link to this heading"></a></h2>
<p>Evaluate the first argument if necessary</p>
<div class="math">
<p><img src="../_images/math/478aeca314882e29dc3a52d64624061fb36948f0.svg" alt="\transrule
<p><img src="../_images/math/292cba3e41608acd2957a5e9aa29ab8f2cbc346d.svg" alt="\transrule
{ c : a_1 : a_2 : \nillist
&amp; d
&amp; h
@@ -264,7 +264,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
}"/></p>
</div><p>Perform the reduction if the first argument is in normal form</p>
<div class="math">
<p><img src="../_images/math/c5937687478d980ab66b85de909dcb73d4bc9b13.svg" alt="\transrule
<p><img src="../_images/math/34c5ba211557474d30a91f5ea6cf5692b3b88610.svg" alt="\transrule
{ c : a_1 : a_2 : s
&amp; d
&amp; h
@@ -290,7 +290,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
<h2>Lists<a class="headerlink" href="#lists" title="Link to this heading"></a></h2>
<p>Evaluate the scrutinee</p>
<div class="math">
<p><img src="../_images/math/5bd3cd582dce130ac602d5d805972076e5bc0f56.svg" alt="\transrule
<p><img src="../_images/math/f653751fa1b1ef5e1eb9a12fbb4df556a501606f.svg" alt="\transrule
{ c : a_1 : a_2 : a_3 : \nillist
&amp; d
&amp; h
@@ -307,7 +307,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
}"/></p>
</div><p>If the scrutinee is <code class="code docutils literal notranslate"><span class="pre">Nil</span></code>, perform the appropriate reduction.</p>
<div class="math">
<p><img src="../_images/math/a6502e03af9f1e3d8a7dce9053c7125364a0cae5.svg" alt="\transrule
<p><img src="../_images/math/fd3674c541392d348d835034f858018e7a614a41.svg" alt="\transrule
{ c : a_1 : a_2 : a_3 : s
&amp; d
&amp; h
@@ -360,7 +360,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
</ul>
<p class="caption" role="heading"><span class="caption-text">References</span></p>
<ul class="current">
<li class="toctree-l1"><a class="reference internal" href="gm-state-transition-rules.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1"><a class="reference internal" href="gm-state-transitions.html">G-Machine State Transition Rules</a></li>
<li class="toctree-l1 current"><a class="current reference internal" href="#">Template Instantiator State Transition Rules</a></li>
</ul>
@@ -368,7 +368,7 @@ evaluated as False (<code class="code docutils literal notranslate"><span class=
<h3>Related Topics</h3>
<ul>
<li><a href="../index.html">Documentation overview</a><ul>
<li>Previous: <a href="gm-state-transition-rules.html" title="previous chapter">G-Machine State Transition Rules</a></li>
<li>Previous: <a href="gm-state-transitions.html" title="previous chapter">G-Machine State Transition Rules</a></li>
</ul></li>
</ul>
</div>

2
doc/build/html/searchindex.js vendored
View File

File diff suppressed because one or more lines are too long

2
doc/src/conf.py
View File

@@ -50,6 +50,8 @@ imgmath_latex_preamble = r'''
\end{tblr} }
\newcommand{\nillist}{[\,]}
\newcommand{\concat}{+\kern-1.3ex+\kern0.8ex}
'''
imgmath_image_format = 'svg'

41
doc/src/references/gm-state-transitions.rst
View File

@@ -363,6 +363,47 @@ Core Transition Rules
& m
}
#. Pack a constructor if there are sufficient arguments
.. math::
\gmrule
{ \mathtt{Pack} \; t \; n : i
& a_1 : \ldots : a_n : s
& d
& h
& m
}
{ i
& a : s
& d
& h
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; [a_1,\ldots,a_n]
\end{bmatrix}
& m
}
#. Evaluate a case
.. math::
\gmrule
{ \mathtt{CaseJump} \begin{bmatrix} t \to c \end{bmatrix} : i
& a : s
& d
& h
\begin{bmatrix}
a : \mathtt{NConstr} \; t \; v
\end{bmatrix}
& m
}
{ c \concat i
& d
& h
& m
}
***************
Extension Rules
***************