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agw id:agw

Numerical Computationã«é–¢ã™ã‚‹agwã®ãƒ–ãƒƒã‚¯ãƒžãƒ¼ã‚¯ (18)

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ã“ã‚“ã«ã¡ã¯ã€å¹´é½¢ 3X æ³ã® peria ã§ã™ã€‚ 6æœˆã« @square1001 ã•ã‚“ã®ã€Œè¶…é«˜é€Ÿï¼å¤šå€é•·æ•´æ•°ã®è¨ˆç®—æ‰‹æ³•ã€ã‚·ãƒªãƒ¼ã‚º(å‰ç·¨ / å¾Œç·¨) ãŒæŠ•ç¨¿ã•ã‚ŒãŸéš›ã€Constants ã‚³ãƒ³ãƒ†ã‚¹ãƒˆ ã§æ•°å¹´å‰ã«å¾—ç‚¹ã—ã¦ã„ãŸã“ã¨ã‚’æ€ã„å‡ºã—ã¤ã¤ã€ä»Šã ã¨ã‚‚ã†å°‘ã—æ›¸ã‘ã‚‹ã‹ãªã€ã¨ã„ã†ãƒŽãƒªã ã‘ã§è‰²ã€…ã‚³ãƒ¼ãƒ‡ã‚£ãƒ³ã‚°ã—ã¦ã„ãŸã‚‰ç·åˆ2ä½ã¾ã§æ¥ãŸã®ã§ã‚¶ãƒƒã‚¯ãƒªä½•ã—ãŸã‹ã‚’æ›¸ã„ã¦ã„ã“ã†ã¨æ€ã„ã¾ã™ã€‚ æ³¨æ„ç‚¹ã¨ã—ã¦ã¯ã€ã‚ãã¾ã§ã‚³ãƒ³ãƒ†ã‚¹ãƒˆç”¨ã«æ›¸ã„ãŸã‚³ãƒ¼ãƒ‰ãªã®ã§å…¨ã¦ã‚’å…¬é–‹ã™ã‚‹ã‚ã‘ã§ã¯ã‚ã‚Šã¾ã›ã‚“ã€‚ã¾ãŸã€å®Ÿéš›ã«ç§ãŒé¸ã‚“ã ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’æ›–æ˜§ã«ã™ã‚‹æ„å‘³ã§ã‚‚ã€è¦‹ãˆã¦ã„ãªã„æœ€é©åŒ–ãŒã‚ã‚‹ã‹ã‚‚ã—ã‚Œãªã„ã¨ã„ã†æ„å‘³ã§ã‚‚ã€ã„ãã¤ã‹ã®é¸æŠžè‚¢ã‚’æ›¸ã„ã¦ã„ã‚‹ã“ã¨ãŒå¤šã€…ã‚ã‚‹ã¨æ€ã„ã¾ã™ã€‚ã¾ãŸã€ã‚ãã¾ã§ä¸Šè¨˜ã‚·ãƒªãƒ¼ã‚ºã«ä»˜ã‘åŠ ãˆã‚‹äºŒæ¬¡å‰µä½œãƒ»ã‚¢ãƒ•ã‚¿ãƒ¼ã‚¹ãƒˆãƒ¼ãƒªãƒ¼çš„ãªã‚‚ã®ãªã®ã§ã€Œè¶…é«˜é€Ÿï¼å¤šå€é•·æ•´æ•°ã®è¨ˆç®—æ‰‹æ³•ã€ã‚·ãƒªãƒ¼ã‚ºã¯èªç ´ã—ã¦ã„ã‚‹ã‚‚ã®ã¨ã—ã¦æ›¸ã„ã¦ã„ãã¾ã™ã€‚ ä¿å˜å½¢å¼ã®å·¥å¤«
agw 2020/09/28
deferred

Numerical Computation

Programming
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ãã¼ã“ on Twitter: "SUGOI https://t.co/cwEc3MBZhL"
SUGOI https://t.co/cwEc3MBZhL
agw 2020/09/10
Numerical Computation
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Hiroki Tanaka on Twitter: "æ–°ã—ã„ã€Œæ•°å€¤è¨ˆç®—ã®å¸¸è˜ã€ã®PDFã‚’è¦‹ã¤ã‘ãŸ https://t.co/PJ27tYds6v"
agw 2020/07/21
Numerical Computation

Algorithm

Programming
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JAG ã® ICPC æ¨¡æ“¬åœ°åŒºäºˆé¸ 2015 ã®æœ€ä¸ã«, ã‚¸ãƒ£ãƒƒã‚¸ãƒ«ãƒ¼ãƒ ã§æ€ã„ã¤ã„ãŸã“ã¨. ã‚¤ãƒ³ãƒˆãƒ èª¤å·®ã‚’é¿ã‘ã‚‹ãŸã‚ã«æœ‰ç†æ•°ã‚’ä½¿ã†ã¨ã, ã‚ªãƒ¼ãƒãƒ¼ãƒ•ãƒãƒ¼ã™ã‚‹ãƒœãƒˆãƒ«ãƒãƒƒã‚¯ã¯, å¤šãã®å ´åˆ, æœ‰ç†æ•°åŒå£«ã®å¤§å°æ¯”è¼ƒã«ãªã‚‹. (é€†ã«, æœ‰ç†æ•°åŒå£«ã®å¤§å°æ¯”è¼ƒãŒãƒœãƒˆãƒ«ãƒãƒƒã‚¯ã«ãªã‚‰ãªã„ã¨ãã¯, åˆ¥ã®ãƒ†ã‚¯ãƒ‹ãƒƒã‚¯ã§èª¤å·®ã‚’é¿ã‘ã‚‰ã‚Œã‚‹ã“ã¨ãŒã‚ã‚‹) ãã“ã§, æœ‰ç†æ•°ã®åˆ†æ¯åˆ†åè‡ªä½“ã¯ã‚ªãƒ¼ãƒãƒ¼ãƒ•ãƒãƒ¼ã—ã¦ã„ãªã„ã¨ãã«, æœ‰ç†æ•°åŒå£«ã®æ¯”è¼ƒã‚’, ãªã‚‹ã¹ãã‚ªãƒ¼ãƒãƒ¼ãƒ•ãƒãƒ¼ã•ã›ãšã«è¡Œã†æ–¹æ³•ã‚’è¦‹ã‚‹. ã¤ã¾ã‚Š, æ¬¡ã®ã‚ˆã†ãª sgn é–¢æ•°ã‚’ä½œã‚ŠãŸã„. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39template<class Int> struct Fraction{
agw 2020/07/06
deferred

Numerical Computation

Algorithm

Programming
ãƒªãƒ³ã‚¯
kuuso on Twitter: "è¶…é«˜é€Ÿï¼å¤šå€é•·æ•´æ•°ã®è¨ˆç®—æ‰‹æ³•ã€å‰ç·¨ï¼šå¤§ããªæ•°ã®å››å‰‡è¨ˆç®—ã‚’åœ§å€’çš„ãªé€Ÿåº¦ã§ï¼ã€‘ https://t.co/mQ68pGe6hG #Qiita å¤§ä½œã ã£ãŸï¼Žã„ã„è¨˜äº‹ï¼Ž"
agw 2020/06/15
deferred

Numerical Computation

Algorithm

Programming
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æµ®å‹•å°æ•°ç‚¹æ•°ã‚ªã‚¿ã‚¯ãŒ AtCoder Beginner Contest 169 ã®Cå•é¡Œã‚’ã‚¬ãƒã§è§£èª¬ã—ã¦ã¿ã‚‹ - Qiita
ã©ã†ã‚‚ã€æµ®å‹•å°æ•°ç‚¹æ•°ã‚ªã‚¿ã‚¯ã®mod_poppoã§ã™ã€‚ æ˜¨æ—¥é–‹å‚¬ã•ã‚ŒãŸ ABC169 ã® C å•é¡ŒãŒæµ®å‹•å°æ•°ç‚¹æ•°ã®ç½ ãªå•é¡Œã ã£ãŸã‚‰ã—ã„ã®ã§ã€ã©ã“ãŒç½ ãªã®ã‹ã€ãã—ã¦ã©ã†ã™ã‚Œã°ç½ ã‚’å›žé¿ã§ãã‚‹ã®ã‹ã‚’è§£èª¬ã—ã¦ã¿ã¾ã™ã€‚ ã¾ãŸã€å…¸åž‹çš„ãªèª¤ç”ã«å¯¾ã—ã¦ã¯ã€ãã‚Œã‚’è½ã¨ã™ãŸã‚ã®ãƒ†ã‚¹ãƒˆã‚±ãƒ¼ã‚¹ã‚‚ç”¨æ„ã—ã¾ã—ãŸã€‚ å•é¡Œæ–‡ï¼ˆå¼•ç”¨ï¼‰ ã¾ãšæœ€åˆã«å•é¡Œæ–‡ã‚’å¼•ç”¨ã—ã¦ãŠãã¾ã™ã€‚ AtCoder Beginner Contest 169 | C - Multiplication 3 å•é¡Œæ–‡ $A\times B$ ã®å°æ•°ç‚¹ä»¥ä¸‹ã‚’åˆ‡ã‚Šæ¨ã¦ã€çµæžœã‚’æ•´æ•°ã¨ã—ã¦å‡ºåŠ›ã—ã¦ãã ã•ã„ã€‚ åˆ¶ç´„ $0\le A\le 10^{15}$ $0\le B<10$ $A$ ã¯æ•´æ•° $B$ ã¯å°æ•°ç¬¬ 2 ä½ã¾ã§ä¸Žãˆã‚‰ã‚Œã‚‹ å…¥åŠ› å…¥åŠ›ã¯ä»¥ä¸‹ã®å½¢å¼ã§æ¨™æº–å…¥åŠ›ã‹ã‚‰ä¸Žãˆã‚‰ã‚Œã‚‹ã€‚
agw 2020/06/02
deferred

Numerical Computation

Algorithm

Programming
ãƒªãƒ³ã‚¯
Dice1900 on Twitter: "ã€ŒFloating-point Precision Breakdownã€ã¨ã„ã†ãƒ¯ãƒ¼ãƒ«ãƒ‰ã€‚ Unityã®ä»•æ§˜ä¸Šã€åŽŸç‚¹ã‹ã‚‰é›¢ã‚Œã‚Œã°é›¢ã‚Œã‚‹ç¨‹ç‰©ä½“ã®åº§æ¨™ã® ç²¾åº¦ãŒè½ã¡ã‚‹ã®ã ãŒã€ãã‚Œã‚’èº«ã‚’ã‚‚ã£ã¦ä½“é¨“ã§ãã‚‹ãƒ¯ãƒ¼ãƒ«ãƒ‰ã€‚ãŸã ã®Unityã®ä»•æ§˜ãªã®â€¦ https://t.co/RgQx5qS269"
ã€ŒFloating-point Precision Breakdownã€ã¨ã„ã†ãƒ¯ãƒ¼ãƒ«ãƒ‰ã€‚ Unityã®ä»•æ§˜ä¸Šã€åŽŸç‚¹ã‹ã‚‰é›¢ã‚Œã‚Œã°é›¢ã‚Œã‚‹ç¨‹ç‰©ä½“ã®åº§æ¨™ã® ç²¾åº¦ãŒè½ã¡ã‚‹ã®ã ãŒã€ãã‚Œã‚’èº«ã‚’ã‚‚ã£ã¦ä½“é¨“ã§ãã‚‹ãƒ¯ãƒ¼ãƒ«ãƒ‰ã€‚ãŸã ã®Unityã®ä»•æ§˜ãªã®â€¦ https://t.co/RgQx5qS269
agw 2020/03/17
CG

Numerical Computation
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How to implement a fast double presicion exponential function for x64 see http://github.com/herumi/fmath
agw 2018/06/08
deferred

Numerical Computation

Algorithm

Programming
ãƒªãƒ³ã‚¯
æ•°å€¤è¨ˆç®—ã®è½ã¨ã—ç©´
æ•°å€¤è¨ˆç®—ã®è½ã¨ã—ç©´ã€€ã€€ã€€ã€€ã€€Last modified: ã“ã®å‰è¨ˆç®—æ©Ÿå®¤ã«ã„ãŸã‚‰ï¼Œå¦ç”ŸãŒã€Œlong ã§ã¯ãªãã¦ float ã‚’ä½¿ã†ã®ã‹ãªã€ãªã©ã¨è©±ã—ã¦ãŠã‚Šã¾ã—ãŸã€‚ # float ã‚ˆã‚Š double ã‚’ä½¿ã£ã¦ãã‚Œ... ã‚³ãƒ³ãƒ”ãƒ¥ãƒ¼ã‚¿ãŒç”¨ã„ã‚‹æ•°ã®ç²¾åº¦ ã‚³ãƒ³ãƒ”ãƒ¥ãƒ¼ã‚¿ã®å†…éƒ¨ã§ä½¿ç”¨ã•ã‚Œã‚‹æ•°ã¯ï¼Œ2é€²æ•°ã§è¡¨ã•ã‚Œã‚‹ã€‚ ä»¥ä¸‹ã®ãƒ—ãƒã‚°ãƒ©ãƒ ã‚’è€ƒãˆã¦ã¿ã‚ˆã†ã€‚ #include <stdio.h> #include <math.h> void put_float(char *string, float z); #define N 100 int main(void) { float x, sum; int i; sum = 0.0; x = 1.0/N; /* (1) */ for (i = 0; i < N; i++) { /* (2) */ sum += x; } put_float("sum = ", su
agw 2013/04/17
deferred

Numerical Computation

Programming
ãƒªãƒ³ã‚¯
æµ®å‹•å°æ•°ç‚¹æ•°ã«ã¤ã„ã¦ - komiyamã®æ—¥è¨˜
ã¯ã˜ã‚ã« ã“ã®è¨˜äº‹ã¯Competitive Programming Advent Calendar12æœˆ10æ—¥åˆ†ã®è¨˜äº‹ã§ã™ã€‚ èª¤å·®ãŒåŽŸå› ã§WAã«ãªã‚‹å•é¡ŒãŒå«Œã„ãªäººã¯æ±ºã—ã¦å°‘ãªããªã„ã¨æ€ã„ã¾ã™ã€‚ã€Œã“ã‚“ãªã®ã¯æœ¬è³ªçš„ãªã“ã¨ã§ã¯ãªã„ã€ã¨ã„ã†äººã‚‚ã„ã‚‹ã§ã—ã‚‡ã†ã€‚èª¤å·®ã‚’å›žé¿ã™ã‚‹ã“ã¨ãŒæœ¬è³ªã¨ãªã‚‹ã‚ˆã†ãªå•é¡ŒãŒã‚³ãƒ³ãƒ†ã‚¹ãƒˆã«å‡ºã¦ã‚‚ãã£ã¨äººæ°—ã¯å‡ºãªã„ã§ã—ã‚‡ã†ã€‚è‡ªåˆ†ã‚‚ä»¥å‰ã¯èª¤å·®æ»ã®èµ·ãã†ã‚‹å•é¡Œã¯å«Œã„ã§ã—ãŸãŒã€æœ€è¿‘ã¯ãã‚Œã‚’å›žé¿ã™ã‚‹ã®ã‚‚é¢ç™½ã•ã ã¨æ„Ÿã˜ã‚‹ã«ãªã£ã¦ãã¾ã—ãŸã€‚ ã—ã‹ã—é¢ç™½ã„ã¨ã‹ã¤ã¾ã‚‰ãªã„ã¨ã‹å¥½ãã¨ã‹å«Œã„ã¨ã‹ä»¥å‰ã«éžACã¯æ‚”ã—ã„ã‚‚ã®ã§ã™ã€‚ãªã®ã§ä»Šå›žã¯ã€èª¤å·®æ»ãªã©ã‚’å›žé¿ã™ã‚‹ãŸã‚ã«åœ°å‘³ãªãƒã‚¿ã§ã‚ã‚‹æµ®å‹•å°æ•°ç‚¹æ•°ã«ã¤ã„ã¦æ›¸ã“ã†ã¨æ€ã„ã¾ã™ã€‚ A+B probl em ã¨ã‚Šã‚ãˆãšã€ã„ã‚ã‚“ãªã‚ªãƒ³ãƒ©ã‚¤ãƒ³ã‚¸ãƒ£ãƒƒã‚¸ã§æœ€åˆã®1å•ç›®ã¨ã—ã¦è¦‹ã‚‹ã“ã¨ã®å¤šã„A+B probl emã‚’è§£ã„ã¦ã¿ã¾ã—ã‚‡ã†ã€‚ã‚ˆãã‚ã‚‹ã®ã¯æ•´æ•°ã®å’Œã‚’å‡ºåŠ›ã•ã›ã‚‹å•é¡Œã§ã™ãŒã€
agw 2012/02/19
Numerical Computation

Programming
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æµ®å‹•å°æ•°ç‚¹æ•°ã®ä¸¸ã‚å‡¦ç†ã‚’è¦‹æ¯”ã¹ã¦ã¿ã‚‹ - hnwã®æ—¥è¨˜
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agw 2011/12/19
Numerical Computation

Programming
ãƒªãƒ³ã‚¯
How to calculate general binomial coefficients
agw 2011/11/09
"The fractions should be evaluated by subtracting logarithms rather than computing the numerators and denominators directly."ã¨ã—ã€How to calculate binomial probabilitiesã‚’èªã‚€ã“ã¨ã‚’ä¿ƒã—ã¦ã„ã‚‹ã€‚

Numerical Computation

Probability

Mathematics

Programming
ãƒªãƒ³ã‚¯
Binomial coefficients
agw 2011/11/09
deferred

Numerical Computation

Probability

Mathematics
ãƒªãƒ³ã‚¯
Binomial coefficients
agw 2011/11/09
deferred

Numerical Computation

Probability

Mathematics
ãƒªãƒ³ã‚¯
Probability approximations
agw 2011/11/09
Probability

Numerical Computation

Mathematics

Programming
ãƒªãƒ³ã‚¯
How to calculate binomial probabilities
Suppose youâ€™re doing something that has probability of success p and probability of failure q = 1 âˆ’ p. If you repeat what youâ€™re doing m+n times, the probability of mÂ successes and nÂ failures is given by Now supposeÂ m and n are moderately large. The terms (m+n)! and m! n! will be huge, but the terms pm and qn will be tiny. The huge terms might overflow, and the tiny terms might underflow, even tho
agw 2011/09/28
äºŒé …åˆ†å¸ƒã‚’è¨ˆç®—ã™ã‚‹æ–¹æ³•ã€‚

Numerical Computation

Probability

Statistics

Programming

Algorithm
ãƒªãƒ³ã‚¯
How to compute log factorial
agw 2011/09/28
deferred

Numerical Computation

Mathematics

Programming

Algorithm
ãƒªãƒ³ã‚¯
hnwã®æ—¥è¨˜ - PHPã®å¥‡å¦™ãªroundé–¢æ•°
(2012/11/01è¿½è¨˜) 4å¹´ã»ã©å‰ã®è¨˜äº‹ã€ŒPHP5.3.0alpha3ã®roundé–¢æ•°ã®å®Ÿè£…ãŒPHP5.2.6ã¨å¤‰ã‚ã£ãŸ - hnwã®æ—¥è¨˜ã€ã§ãŠä¼ãˆã—ãŸé€šã‚Šã€PHP 5.3.0ã‹ã‚‰åˆ¥ã®å®Ÿè£…ãŒæŽ¡ç”¨ã•ã‚Œã¦ãŠã‚Šã€æœ¬ãƒšãƒ¼ã‚¸ã§æŒ‡æ‘˜ã—ã¦ã„ã‚‹ã‚ˆã†ãªæŒ™å‹•ã®PHPã¯æ—¢ã«çµ¶æ»…å±æƒ§ç¨®ã§ã™ã€‚å¿µã®ãŸã‚ã€‚ ã•ã¦ã€ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã®è©±é¡Œã‚‚ãŸã¾ã«ã¯æ›¸ã„ã¦ã¿ã¾ã™ã€‚ä»Šå›žã¯PHPã®roundé–¢æ•°ã®æŒ™å‹•ãŒå¤‰ã ï¼ã¨ã„ã†è©±é¡Œã§ã™ã€‚ round()ã¯æµ®å‹•å°æ•°ç‚¹æ•°ã‚’å››æ¨äº”å…¥ã™ã‚‹é–¢æ•°ã§ã€å¤§æŠµã®è¨€èªžã«åŒã˜åå‰ã§å®Ÿè£…ã•ã‚Œã¦ã„ã‚‹ã‹ã¨æ€ã„ã¾ã™ã€‚ã§ã¯PHPã®roundé–¢æ•°ã®ä½•ãŒå•é¡Œãªã®ã‹ã€ã¡ã‚‡ã£ã¨è©¦ã—ã¦ã¿ã¾ã—ã‚‡ã†ã€‚ $ uname -sro Linux 2.6.9-42.0.10.plus.c4smp GNU/Linux $ php --version PHP 5.1.6 (cli) (built: Feb 23 2007 06:56:38)
agw 2007/08/05
Numerical Computation

Programming
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