Imaginary base numbers: Difference between revisions
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=={{header|Phix}}==
{{trans|Sidef}}
<!--<lang Phix>
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">include</span> <span style="color: #004080;">complex</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">base2</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">num</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">precision</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;"><-</span><span style="color: #000000;">36</span> <span style="color: #008080;">or</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">>-</span><span style="color: #000000;">2</span> <span style="color: #008080;">then</span> <span style="color: #008080;">throw</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"radix out of range (-2..-36)"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">result</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">num</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"0"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">else</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">place</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">num</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">upper_bound</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">/(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">lower_bound</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">*</span><span style="color: #000000;">upper_bound</span>
<span style="color: #008080;">while</span> <span style="color: #008080;">not</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lower_bound</span> <span style="color: #0000FF;"><=</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">or</span> <span style="color: #008080;">not</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span> <span style="color: #0000FF;"><</span> <span style="color: #000000;">upper_bound</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">place</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">num</span><span style="color: #0000FF;">/</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span><span style="color: #000000;">place</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">while</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">v</span> <span style="color: #008080;">or</span> <span style="color: #000000;">place</span> <span style="color: #0000FF;">></span> <span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">and</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">place</span> <span style="color: #0000FF;">></span> <span style="color: #000000;">precision</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">digit</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">*</span><span style="color: #000000;">v</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">lower_bound</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">*</span><span style="color: #000000;">v</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">digit</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">place</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span> <span style="color: #008080;">not</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'.'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">result</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #000000;">result</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">'.'</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">digit</span><span style="color: #0000FF;">+</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digit</span><span style="color: #0000FF;">></span><span style="color: #000000;">9</span><span style="color: #0000FF;">?</span><span style="color: #008000;">'a'</span><span style="color: #0000FF;">-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">:</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">place</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">dot</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'.'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">result</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">dot</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">trim_tail</span><span style="color: #0000FF;">(</span><span style="color: #000000;">result</span><span style="color: #0000FF;">,</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">result</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">dot</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span><span style="color: #000000;">result</span><span style="color: #0000FF;">[</span><span style="color: #000000;">dot</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]}</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">result</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">result</span><span style="color: #0000FF;">,</span><span style="color: #008000;">""</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">result</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">zip</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ld</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)-</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ld</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">ld</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">b</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ld</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">a</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ld</span><span style="color: #0000FF;">))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]&</span><span style="color: #000000;">b</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">trim_tail</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span> <span style="color: #008080;">then</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"0"</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">complexn</span> <span style="color: #000000;">num</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">precision</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">absrad</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">radix2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">absrad</span><span style="color: #0000FF;"><</span><span style="color: #000000;">2</span> <span style="color: #008080;">or</span> <span style="color: #000000;">absrad</span><span style="color: #0000FF;">></span><span style="color: #000000;">6</span> <span style="color: #008080;">then</span> <span style="color: #008080;">throw</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"base radix out of range"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">re</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">im</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">complex_real</span><span style="color: #0000FF;">(</span><span style="color: #000000;">num</span><span style="color: #0000FF;">),</span> <span style="color: #7060A8;">complex_imag</span><span style="color: #0000FF;">(</span><span style="color: #000000;">num</span><span style="color: #0000FF;">)}</span>
<span style="color: #004080;">string</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">re_wh</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">re_fr</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">base2</span><span style="color: #0000FF;">(</span><span style="color: #000000;">re</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">radix2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">precision</span><span style="color: #0000FF;">),</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">im_wh</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">im_fr</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">base2</span><span style="color: #0000FF;">(</span><span style="color: #000000;">im</span><span style="color: #0000FF;">/</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">radix2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">precision</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">whole</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">zip</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">re_wh</span><span style="color: #0000FF;">),</span> <span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">im_wh</span><span style="color: #0000FF;">))),</span>
<span style="color: #000000;">fraction</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">zip</span><span style="color: #0000FF;">(</span><span style="color: #000000;">im_fr</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">re_fr</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">fraction</span><span style="color: #0000FF;">!=</span><span style="color: #008000;">"0"</span> <span style="color: #008080;">then</span> <span style="color: #000000;">whole</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">'.'</span><span style="color: #0000FF;">&</span><span style="color: #000000;">fraction</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">whole</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">parse_base</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">complexn</span> <span style="color: #000000;">fraction</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">dot</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'.'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">dot</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">fr</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">[</span><span style="color: #000000;">dot</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">fr</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">fr</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">c</span> <span style="color: #0000FF;">-=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">>=</span><span style="color: #008000;">'a'</span><span style="color: #0000FF;">?</span><span style="color: #008000;">'a'</span><span style="color: #0000FF;">-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">:</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">fraction</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">fraction</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">complex_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">complex_power</span><span style="color: #0000FF;">({</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">str</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">dot</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">str</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">c</span> <span style="color: #0000FF;">-=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">>=</span><span style="color: #008000;">'a'</span><span style="color: #0000FF;">?</span><span style="color: #008000;">'a'</span><span style="color: #0000FF;">-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">:</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">fraction</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">fraction</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">complex_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">complex_power</span><span style="color: #0000FF;">({</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">},(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">))))</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">fraction</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">13</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">},</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">7.75</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},{.</span><span style="color: #000000;">25</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- base 2i tests</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- same value, positive imaginary bases</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},-</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- same value, negative imaginary bases</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">227.65625</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10.859375</span><span style="color: #0000FF;">},</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">-- larger test value</span>
<span style="color: #0000FF;">{{-</span><span style="color: #000000;">579.8225308641975744</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">5296.406378600824</span><span style="color: #0000FF;">},</span><span style="color: #000000;">6</span><span style="color: #0000FF;">}}</span> <span style="color: #000080;font-style:italic;">-- phix.rules
-- matches output of Sidef and Raku:</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">complexn</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">t</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">ibase</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">strv</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">strb</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">parse_base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ibase</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"base(%20s, %2di) = %-10s : parse_base(%12s, %2di) = %s\n"</span><span style="color: #0000FF;">,</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">strv</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ibase</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">'"'</span><span style="color: #0000FF;">&</span><span style="color: #000000;">ibase</span><span style="color: #0000FF;">&</span><span style="color: #008000;">'"'</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">strb</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000080;font-style:italic;">-- matches output of Kotlin, Java, Go, D, and C#:</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">ri</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">2</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- real then imag</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">16</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">complexn</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ri</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">?</span><span style="color: #000000;">i</span><span style="color: #0000FF;">:{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">}),</span>
<span style="color: #000000;">nc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_neg</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">sc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">snc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nc</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">ib</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">inb</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">nc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">rc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">parse_base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ib</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)),</span>
<span style="color: #000000;">rnc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">complex_sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">parse_base</span><span style="color: #0000FF;">(</span><span style="color: #000000;">inb</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">))</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%4s -> %8s -> %4s %4s -> %8s -> %4s\n"</span><span style="color: #0000FF;">,</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">sc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ib</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">rc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">snc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">inb</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">rnc</span> <span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</lang>-->
{{out}}
Matches the output of Sidef and Raku, except for the final line:
|