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boc/aamos-ledger-rust/target/debug/deps/libnum_integer-cda64073223f719c.rlib
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ARCHITECTURE: NFC roadmap, edge AI, audit logging
2026-06-29 16:24:48 +00:00
!<arch>
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#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 `râ�¿ ≤ x < (r+1)â�¿`.ÁüéDA If `x` is negative and `n` is odd, then `(r-1)â�¿ < x ≤ râ�¿`.Á²údº # 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<õ ```Á�úü‰-* or if `n` is even and `self` is negative:Á»úœÃš·ìÛ¶·üý>; println!("no imaginary numbers... {}", (-1).nth_root(10));Á<À¢¸ÌútÔ # ExamplesÁçú<Üû use num_integer::Roots;Á›ú¼£ 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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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`.ÁºúdÂʶÓúüÛ'$ Panics if `self` is less than zero:Á‡úœ�š·ì§¶·üÉ85 println!("no imaginary numbers... {}", (-1).sqrt());Á<†¢¸’útšü¹­ú<µ¢¸ÜÁ¬ºáú¼éܺü…" assert_eq!((x * x).sqrt(), x);Áü¬&# assert_eq!((x * x + 1).sqrt(), x);Áü×*' assert_eq!((x * x - 1).sqrt(), x - 1);Á<†¢¸$£– –é8é8 ¨
é8$©´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¦út®ü¹Áú<É¢¸ÜÕ¬ºõú´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);Áü�41 assert_eq!((-(x * x * x - 1)).cbrt(), -(x - 1));Á<È¢¸$å— —é8é8 ê
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Mü§6<±??Íìé8,ºµé8Âíßé8é8TȺé8Õ™é8Û?ÞÇ WîÇ NýÇ A�È 8ŸÈ /ÞÇ uîÇ lýÇ _�È VŸÈ M@ABCDEFHIJKLMNOPQR@ABCDEFHIJKLMNOPQRBMEPH@KCNFQIALDORJüÍ *ìä Floored integer division.Á†útŽü¹¡ú<© ~~~Áüµ # use num_integer::Integer;ÁüÙ'$ assert!(( 8).div_floor(& 3) == 2);Áü… '$ assert!(( 8).div_floor(&-3) == -3);Áü± '$ assert!((-8).div_floor(& 3) == -3);ÁüÝ '$ assert!((-8).div_floor(&-3) == 2);Á‰
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,¤ü¤(äÀ Ceiled integer division.Ááútéü¹üú<„¿É ü�ÐÉ ü´'$ assert_eq!(( 8).div_ceil( &3), 3);Áüà'$ assert_eq!(( 8).div_ceil(&-3), -2);ÁüŒ'$ assert_eq!((-8).div_ceil( &3), -2);Áü¸'$ assert_eq!((-8).div_ceil(&-3), 3);Áäúüì&# assert_eq!(( 1).div_ceil( &2), 1);Áü—&# assert_eq!(( 1).div_ceil(&-2), 0);ÁüÂ&# assert_eq!((-1).div_ceil( &2), 0);Áüí&# assert_eq!((-1).div_ceil(&-2), 1);Á<˜¿É D§¤¥ ¤é8 ¥é8é8? °?
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,ÀüÈ$üÜ! Lowest Common Multiple (LCM).Á‚útŠü¹�ú<¥¿É ü±ÐÉ ôÕ assert_eq!(7.lcm(&3), 21);Áìø assert_eq!(2.lcm(&4), 4);Áìš assert_eq!(0.lcm(&0), 0);Á<¼¿É ˨© ¨é8 ©é8é8? Ï?�¼$й
,Öü„/üò%" Greatest Common Divisor (GCD) andÁüœ*' Lowest Common Multiple (LCM) together.ÁËúüÓ;8 Potentially more efficient than calling `gcd` and `lcm`Áü“&# individually for identical inputs.Á¾útÆü¹Ùú<á¿É üíÐÉ ü‘(% assert_eq!(10.gcd_lcm(&4), (2, 20));Áü¾'$ assert_eq!(8.gcd_lcm(&9), (1, 72));Á<ê¿É <‡ª« ªé8 «é8�º? �?
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^üð"Xüì52 Greatest common divisor and Bézout coefficients.Á¦út®ü¹Áú<É¿É ŒÕ # fn main() {Áüë.+ # use num_integer::{ExtendedGcd, Integer};Áüž  # use num_traits::NumAssign;Áüà A> fn check<A: Copy + Integer + NumAssign>(a: A, b: A) -> bool {Áü‰!?< let ExtendedGcd { gcd, x, y, .. } = a.extended_gcd(&b);ÁäÍ! gcd == x * a + y * bÁ,î! }Áüø!$! assert!(check(10isize, 4isize));Áü¡"$! assert!(check(8isize, 9isize));Á<Ê" # }Á<Ö"¿É dó"¬­ ¬é8 ­é8¹Ó? €#?Øé8,Â#žâ$�#¹
‹i¬Ç%F<closure_kind>ÁG<closure_signature>ÁG<upvars>ÁGGFÉÅüé*mü‰*MJ Greatest common divisor, least common multiple, and Bézout coefficients.Á„ì*®¯ ®é8 ¯é8¹ã? ý*?þç ,Ç+œé84Ï+
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,†0Ôþ1ü¢0)& Returns `true` if the number is even.ÁÐ0útØ0ü¹ë0ú<ó0¿É üÿ0ÐÉ ü£1# assert_eq!(3.is_even(), false);ÁüË1" assert_eq!(4.is_even(), true);Á<ò1¿É <�2´ ´é8? ‰2?
Ké8$Š2Ì÷3üž2(% Returns `true` if the number is odd.ÁË2útÓ2ü¹æ2ú<î2¿É üú2ÐÉ üž3! assert_eq!(3.is_odd(), true);ÁüÄ3" assert_eq!(4.is_odd(), false);Á<ë3¿É 4ú3µ µé8? �4?
Lé8$‚4üë80ü–485 Simultaneous truncated integer division and modulus.ÁüÓ4$! Returns `(quotient, remainder)`.Áü4út„5ü¹—5ú<Ÿ5¿É ü«5ÐÉ üÏ5,) assert_eq!(( 8).div_rem( &3), ( 2, 2));Áü€6,) assert_eq!(( 8).div_rem(&-3), (-2, 2));Áü±6,) assert_eq!((-8).div_rem( &3), (-2, -2));Áüâ6,) assert_eq!((-8).div_rem(&-3), ( 2, -2));Á“7úü›7,) assert_eq!(( 1).div_rem( &2), ( 0, 1));ÁüÌ7,) assert_eq!(( 1).div_rem(&-2), ( 0, 1));Áüý7,) assert_eq!((-1).div_rem( &2), ( 0, -1));Áü®8,) assert_eq!((-1).div_rem(&-2), ( 0, -1));Á<ß8¿É <î8· é8 ·é8�º? ö8?
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süßDOüž?.+ Rounds up to nearest multiple of argument.ÁÑ?ú\Ù? # NotesÁé?úüñ?LI For signed types, `a.next_multiple_of(b) = a.prev_multiple_of(b.neg())`.ÁÂ@útÊ@ü¹Ý@ú<å@¿É üñ@ÐÉ ü•A1. assert_eq!(( 16).next_multiple_of(& 8), 16);ÁüËA1. assert_eq!(( 23).next_multiple_of(& 8), 24);Áü�B1. assert_eq!(( 16).next_multiple_of(&-8), 16);Áü·B1. assert_eq!(( 23).next_multiple_of(&-8), 16);ÁüíB1. assert_eq!((-16).next_multiple_of(& 8), -16);Áü£C1. assert_eq!((-23).next_multiple_of(& 8), -16);ÁüÙC1. assert_eq!((-16).next_multiple_of(&-8), -16);Áü�D1. assert_eq!((-23).next_multiple_of(&-8), -24);Á<ÅD¿É „âDº» ºé8 »é8é8? óD?þç ,¨E
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i16 | 17Álß“
u32 | 34Álñ“
i32 | 33Álƒ”
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