Magic constant: Difference between revisions
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=={{header|Phix}}== |
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<!--<lang Phix>(phixonline)--> |
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
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<span style="color: #008080;">function</span> <span style="color: #000000;">magic</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">nth</span><span style="color: #0000FF;">)</span> |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">order</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">nth</span><span style="color: #0000FF;">+</span><span style="color: #000000;">2</span> |
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<span style="color: #008080;">return</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">order</span><span style="color: #0000FF;">*</span><span style="color: #000000;">order</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;">order</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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<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;">"First 20 magic constants: %V\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">20</span><span style="color: #0000FF;">),</span><span style="color: #000000;">magic</span><span style="color: #0000FF;">)})</span> |
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<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;">"1000th magic constant: %,d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">magic</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1000</span><span style="color: #0000FF;">)})</span> |
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<span style="color: #008080;">include</span> <span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span> |
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<span style="color: #004080;">mpz</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">goal</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">order</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_inits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> |
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<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;">20</span> <span style="color: #008080;">do</span> |
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<span style="color: #7060A8;">mpz_ui_pow_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">goal</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> |
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<span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">goal</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> |
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<span style="color: #7060A8;">mpz_nthroot</span><span style="color: #0000FF;">(</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">)</span> |
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<span style="color: #7060A8;">mpz_add_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> |
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<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;">"1e%d: %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">order</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)})</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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<!--</lang>--> |
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{{out}} |
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<pre> |
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First 20 magic constants: {15,34,65,111,175,260,369,505,671,870,1105,1379,1695,2056,2465,2925,3439,4010,4641,5335} |
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1000th magic constant: 503,006,505 |
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1e1: 3 |
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1e2: 6 |
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1e3: 13 |
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1e4: 28 |
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1e5: 59 |
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1e6: 126 |
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1e7: 272 |
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1e8: 585 |
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1e9: 1,260 |
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1e10: 2,715 |
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1e11: 5,849 |
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1e12: 12,600 |
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1e13: 27,145 |
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1e14: 58,481 |
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1e15: 125,993 |
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1e16: 271,442 |
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1e17: 584,804 |
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1e18: 1,259,922 |
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1e19: 2,714,418 |
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1e20: 5,848,036 |
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</pre> |
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=={{header|Raku}}== |
=={{header|Raku}}== |