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rust
ß±#rustc 1.96.0 (ac68faa20 2026-05-25)ÁíàÄTËŸ ÜJîÄ)'ß\¥!-3d1337db07d0b3aeÁ
num_traitsÁËßM6@eg^…RžºQ®–•-cec9984d90a4582aÁÀ뉊]!ÜÛê(¹Þ—šên-5be7b69c3ff7b5b8Á¤²XctÔ'ÐÓ©z¨ɽÓ-a4945860e1c53b00Á¤°ð ¾ä-±($²ï=©Ã-7e98a21bfd32b0edÁòÖÀH•‘PIÓHã#£-055f30b747f859b6Árustc_std_workspace_coreÁ­Cçß^ò½èÝ$­Çÿ+Cé-c4878ee60b2242c9ÁŸÃï+Ñ]ŠqB<ÏïW#-8dd1dd90e70d0b6aÁ miniz_oxideÁ€š»J(P>àö÷g\K-1eb618da2918ab7fÁadler2ÁÆ;+Þ®5¥Ìýݰ¦ÛLˆ-f7919172d268e069Á hashbrownÁPäV9ÒÆèÜ"ÊÖVŽ\-0fc2184a5da6723aÁrustc_std_workspace_allocÁs&ØòØy¯s•bæ!‰ýŠ-97e4bf30be240674Á
std_detectÁhŠBîÙºÌI®ËÅš-9dbbf8346ba7ac8bÁrustc_demangleÁûë9´Ç×@Œ’ùXFº-f33013f239bf9f14Ácfg_ifÁÜLhž§Œaã¯>­-0a71c8f33a838301Á addr2lineÁ׎Þ!]8V$É@@-e618e6be60e87ba2ÁgimliÁ¸
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‹ás«LÖ€îâƒ×ɯŒ-ee6f3747e38367f0Átest_integer_i8Á|èÑ \í‘test_integer_i16Á„—Ò ]í‘test_integer_i32Á„ÇÒ ^í‘test_integer_i64Á„÷Ò _í‘test_integer_i128ÁŒ¨Ó `í‘test_integer_isizeÁ”ÛÓ aí‘test_integer_u8Á|® b¥ðtest_integer_u16Á„Ý c¥ðtest_integer_u32Á„Ž d¥ðtest_integer_u64Á„½Ž e¥ðtest_integer_u128ÁŒîŽ f¥ðtest_integer_usizeÁ”¡ g¥ðírootsÁ      RootsÁnth_rootÁsqrtÁcbrtÁ § ¥ ² ¥ ˜ ¥  signed_rootsÁ fixpointÁ¥ ´¥ log2Á¥ unsigned_rootsÁ 
 averageÁ'''''''AverageÁ. average_ceilÁ.
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IntegerÁ? div_floorÁ? mod_floorÁ?div_ceilÁ?gcdÁ?lcmÁ?gcd_lcmÁ? extended_gcdÁF ?extended_gcd_lcmÁ?dividesÁ?is_multiple_ofÁ?is_evenÁ?is_oddÁ?div_remÁ?
div_mod_floorÁ?next_multiple_ofÁ?prev_multiple_ofÁ?decÁ?incÁÝS¥ U¥°W¥ëY¥À[¥Ï]¥Ù_¥ãa¥impl_integer_for_isizeÁimpl_integer_for_usizeÁ IterBinomialÁe¥e¬e¹ej¥jæ m¥mmó multiply_and_divideÁq¥binomialÁs¥ multinomialÁu¥uÆ x˜ x§ x²  |˜ |§ |²  ˜ § ²  ˜ § ²  ˆ˜ ˆ§ ˆ²  Œ˜ Œ§ Œ²  ˜ goÁguessÁ § ËÕ ² ËšÕš  ˜ žËŸÕŸ § ¢Ë£Õ£ ² ¦Ë§Õ§  ª˜ «Ë¬Õ¬ ª§ ¯Ë°Õ° ª² ³Ë´Õ´   ·˜ ¸Ë¹Õ¹ ·§ ¼Ë½Õ½ ·² ÀËÁÕÁ  
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.?.š¿cÞÞçàÏáÃâÄ“(+H ØÆ4Š Æ4ÐìÆ4µßÆ4Æ4Æ4?Í3?Ö3?ß3?è3?ñ3?ú3?ƒ4?Œ4?•4?ž4?§4?°4ùMeeëg¬h¹iß¾l…¦‹P¾¥x|ˆŒª·ÄÑ1ãÞæÞéÞëÞíÞðÞ󠯾ÍÙåñýme §.:¿cØŠ Ðìµß? ùM< '?SUWY[]_aeqsuÞííªëAddÁ¾Ä NumÁÕµSignedÁ4ÚœZeroÁ$âÄŒ ,"²  $˜  %§  &.;dˆ 9=§l 7>üؾÌüØ  Integer trait and functions.Áùú¤ý ## CompatibilityÁúü–A> The `num-integer` crate is tested for rustc 1.31 and greater.Áhttps://docs.rs/num-integer/0.1Álà '?SUWY[]_aeqsuÞíñíòë‡8îÄ 8êµ³8ãœÌ8ÞÄŒ Ý"² Ü $˜ Û 
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PrimIntÁ<Aó tYLMT'57 "įüLDA Provides methods to compute an integer's square root, cube root,Áì‘ and arbitrary `n`th root.ÁÎìü¯ì?ñ@é@&ý@é@0ý@%ü¼
#üÎ<9 Returns the truncated principal `n`th root of an integerÁü;8 -- `if x >= 0 { ⌊â¿âˆšx⌋ } else { ⌈â¿âˆšx⌉ }`ÁÏúü×@= This is solving for `r` in `râ¿ = x`, rounding toward zero.ÁüœHE If `x` is positive, the result will satisfy `r⿠≤ x < (r+1)â¿`.ÁüéDA If `x` is negative and `n` is odd, then `(r-1)â¿ < x ≤ râ¿`.Á²ú # PanicsÁËúÔÓ Panics if `n` is zero:Áòúœú ```should_panicÁì’ # use num_integer::Roots;Áü´<9 println!("can't compute â°âˆšx : {}", 123.nth_root(0));Á ```Áúü‰-* or if `n` is even and `self` is negative:Á»úœÃ¬DìÛÈDüý>; println!("no imaginary numbers... {}", (-1).nth_root(10));Á´EÌú # ExamplesÁçú´EÜû use num_integer::Roots;Áú¼£ let x: i32 = 12345;Áü¿! assert_eq!(x.nth_root(1), x);Áüå(% assert_eq!(x.nth_root(2), x.sqrt());Áü’ (% assert_eq!(x.nth_root(3), x.cbrt());Áü¿ " assert_eq!(x.nth_root(4), 10);Áüæ " assert_eq!(x.nth_root(13), 2);Áü
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-* assert_eq!(x.nth_root(std::u32::MAX), 1);Áæ
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.+ assert_eq!(std::i32::MAX.nth_root(30), 2);Áü¡ .+ assert_eq!(std::i32::MAX.nth_root(31), 1);ÁüÔ /, assert_eq!(std::i32::MIN.nth_root(31), -2);Áüˆ 52 assert_eq!((std::i32::MIN + 1).nth_root(31), -1);Á úüÊ .+ assert_eq!(std::u32::MAX.nth_root(31), 2);Áüý .+ assert_eq!(std::u32::MAX.nth_root(32), 1);Á
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MJ Returns the truncated principal square root of an integer -- `⌊√x⌋`Á·úü¿?< This is solving for `r` in `r² = x`, rounding toward zero.Áüƒ2/ The result will satisfy `r² ≤ x < (r+1)²`.ÁºúÜCÓúüÛ'$ Panics if `self` is less than zero:Áúœ¬Dì§ÈDüÉ85 println!("no imaginary numbers... {}", (-1).sqrt());Á<†´Eú‹G­ú´EÜÁºGáú¼éêGü…" assert_eq!((x * x).sqrt(), x);Áü¬&# assert_eq!((x * x + 1).sqrt(), x);Áü×*' assert_eq!((x * x - 1).sqrt(), x - 1);Á<†´E$£ ñ@ñ@ ¨
ñ@´âüÝ>; Returns the truncated principal cube root of an integer --Áü 2/ `if x >= 0 { ⌊∛x⌋ } else { ⌈∛x⌉ }`Á×úüß?< This is solving for `r` in `r³ = x`, rounding toward zero.Áü£FC If `x` is positive, the result will satisfy `r³ ≤ x < (r+1)³`.Áüî30 If `x` is negative, then `(r-1)³ < x ≤ r³`.Á¦ú‹GÁú´EÜÕºGõú´ý let x: i32 = 1234;Áü˜&# assert_eq!((x * x * x).cbrt(), x);ÁüÃ*' assert_eq!((x * x * x + 1).cbrt(), x);Áüò.+ assert_eq!((x * x * x - 1).cbrt(), x - 1);Á¥úü­*' assert_eq!((-(x * x * x)).cbrt(), -x);ÁüÜ.+ assert_eq!((-(x * x * x + 1)).cbrt(), -x);Áü41 assert_eq!((-(x * x * x - 1)).cbrt(), -(x - 1));Á´E$å ñ@ñ@ ê
ñ@ü ü@= Returns the truncated principal square root of an integer --ÁüÞ41 see [Roots::sqrt](trait.Roots.html#method.sqrt).Á$¤ñ6ñ6¥Íìñ6 ©ñ6
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