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<span class="Comment">//: Arithmetic primitives</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
ADD<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_ordinal[<span class="Constant">"add"</span>] = ADD<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
<span class="Normal">case</span> ADD: <span class="Delimiter">{</span>
<span class="Normal">double</span> result = <span class="Constant">0</span><span class="Delimiter">;</span>
<span class="CommentedCode">//? if (!tb_is_active()) cerr << ingredients.at(1).at(0) << '\n'; //? 1</span>
<span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario add_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>add <span class="Constant">23</span><span class="Delimiter">,</span> <span class="Constant">34</span>
]
<span class="traceContains">+mem: storing 57 in location 1</span>
<span class="Delimiter">:(scenario add)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">23</span>
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">34</span>
<span class="Constant">3</span>:number<span class="Special"> <- </span>add <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 57 in location 3</span>
<span class="Delimiter">:(scenario add_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>add <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">5</span>
]
<span class="traceContains">+mem: storing 12 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
SUBTRACT<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_ordinal[<span class="Constant">"subtract"</span>] = SUBTRACT<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
<span class="Normal">case</span> SUBTRACT: <span class="Delimiter">{</span>
<span class="Normal">if</span> <span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
raise << current_recipe_name<span class="Delimiter">()</span> << <span class="Constant">": 'subtract' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">"</span> << end<span class="Delimiter">();</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
<span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result -= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario subtract_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>subtract <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 3 in location 1</span>
<span class="Delimiter">:(scenario subtract)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">23</span>
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">34</span>
<span class="Constant">3</span>:number<span class="Special"> <- </span>subtract <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing -11 in location 3</span>
<span class="Delimiter">:(scenario subtract_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>subtract <span class="Constant">6</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 1 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
MULTIPLY<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_ordinal[<span class="Constant">"multiply"</span>] = MULTIPLY<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
<span class="Normal">case</span> MULTIPLY: <span class="Delimiter">{</span>
<span class="Normal">double</span> result = <span class="Constant">1</span><span class="Delimiter">;</span>
<span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> i = <span class="Constant">0</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result *= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario multiply_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span>
]
<span class="traceContains">+mem: storing 6 in location 1</span>
<span class="Delimiter">:(scenario multiply)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">4</span>
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">6</span>
<span class="Constant">3</span>:number<span class="Special"> <- </span>multiply <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 24 in location 3</span>
<span class="Delimiter">:(scenario multiply_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>multiply <span class="Constant">2</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>
]
<span class="traceContains">+mem: storing 24 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
DIVIDE<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_ordinal[<span class="Constant">"divide"</span>] = DIVIDE<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
<span class="Normal">case</span> DIVIDE: <span class="Delimiter">{</span>
<span class="Normal">if</span> <span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Delimiter">{</span>
raise << current_recipe_name<span class="Delimiter">()</span> << <span class="Constant">": 'divide' has no ingredients</span><span class="cSpecial">\n</span><span class="Constant">"</span> << end<span class="Delimiter">();</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
<span class="Normal">double</span> result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Normal">for</span> <span class="Delimiter">(</span><span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> i = <span class="Constant">1</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result /= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario divide_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">8</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>
<span class="Delimiter">:(scenario divide)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">27</span>
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">3</span>
<span class="Constant">3</span>:number<span class="Special"> <- </span>divide <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 9 in location 3</span>
<span class="Delimiter">:(scenario divide_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">12</span><span class="Delimiter">,</span> <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 2 in location 1</span>
<span class="Comment">//: Integer division</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
DIVIDE_WITH_REMAINDER<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_ordinal[<span class="Constant">"divide-with-remainder"</span>] = DIVIDE_WITH_REMAINDER<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
<span class="Normal">case</span> DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
<span class="Normal">if</span> <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">)</span> != <span class="Constant">2</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
raise << current_recipe_name<span class="Delimiter">()</span> << <span class="Constant">": 'divide-with-remainder' requires exactly two ingredients, but got "</span> << current_instruction<span class="Delimiter">().</span>to_string<span class="Delimiter">()</span> << <span class="cSpecial">'\n'</span> << end<span class="Delimiter">();</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> quotient = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> / ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span> remainder = <span class="Normal">static_cast</span><<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span>><span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> % <span class="Normal">static_cast</span><<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span>><span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
<span class="Comment">// very large integers will lose precision</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>quotient<span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>remainder<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario divide_with_remainder_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number<span class="Special"> <- </span>divide-with-remainder <span class="Constant">9</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>
<span class="traceContains">+mem: storing 1 in location 2</span>
<span class="Delimiter">:(scenario divide_with_remainder)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">27</span>
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">11</span>
<span class="Constant">3</span>:number<span class="Delimiter">,</span> <span class="Constant">4</span>:number<span class="Special"> <- </span>divide-with-remainder <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 2 in location 3</span>
<span class="traceContains">+mem: storing 5 in location 4</span>
<span class="Delimiter">:(scenario divide_with_decimal_point)</span>
recipe main [
<span class="Comment"># todo: literal floats?</span>
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">5</span><span class="Delimiter">,</span> <span class="Constant">2</span>
]
<span class="traceContains">+mem: storing 2.5 in location 1</span>
<span class="Delimiter">:(code)</span>
<span class="Normal">inline</span> <span class="Normal">bool</span> scalar<span class="Delimiter">(</span><span class="Normal">const</span> vector<<span class="Normal">long</span> <span class="Normal">long</span> <span class="Normal">int</span>>& x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="Identifier">return</span> SIZE<span class="Delimiter">(</span>x<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Normal">inline</span> <span class="Normal">bool</span> scalar<span class="Delimiter">(</span><span class="Normal">const</span> vector<<span class="Normal">double</span>>& x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="Identifier">return</span> SIZE<span class="Delimiter">(</span>x<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
</pre>
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