diff options
Diffstat (limited to 'src/algebra/integer.spad.pamphlet')
| -rw-r--r-- | src/algebra/integer.spad.pamphlet | 18 |
1 files changed, 8 insertions, 10 deletions
diff --git a/src/algebra/integer.spad.pamphlet b/src/algebra/integer.spad.pamphlet index e7de9302..5806c706 100644 --- a/src/algebra/integer.spad.pamphlet +++ b/src/algebra/integer.spad.pamphlet @@ -89,10 +89,14 @@ Integer: IntegerNumberSystem with import %ieven?: % -> Boolean from Foreign Builtin import %hash: % -> SingleInteger from Foreign Builtin import %iadd: (%,%) -> % from Foreign Builtin + import %iaddmod: (%,%,%) -> % from Foreign Builtin import %isub: (%,%) -> % from Foreign Builtin + import %isubmod: (%,%,%) -> % from Foreign Builtin import %imul: (%,%) -> % from Foreign Builtin + import %imulmod: (%,%,%) -> % from Foreign Builtin import %irem: (%,%) -> % from Foreign Builtin import %iquo: (%,%) -> % from Foreign Builtin + import %ilshift: (%,%) -> % from Foreign Builtin import %imax: (%,%) -> % from Foreign Builtin import %imin: (%,%) -> % from Foreign Builtin import %igcd: (%,%) -> % from Foreign Builtin @@ -123,15 +127,9 @@ Integer: IntegerNumberSystem with coerce(m:Integer):% == m pretend % convert(x:%):Integer == x pretend Integer length a == %ilength a - addmod(a, b, p) == - c := %iadd(a,b) - c >= p => c - p - c - submod(a, b, p) == - c := %isub(a,b) - negative? c => c + p - c - mulmod(a, b, p) == %imul(a,b) rem p + addmod(a, b, p) == %iaddmod(a,b,p) + submod(a, b, p) == %isubmod(a,b,p) + mulmod(a, b, p) == %imulmod(a,b,p) convert(x:%):Float == coerce(x)$Float convert(x:%):DoubleFloat == coerce(x)$DoubleFloat convert(x:%):InputForm == convert(x)$InputForm @@ -175,7 +173,7 @@ Integer: IntegerNumberSystem with divide(x,y) == %idivide(x,y)$Foreign(Builtin) x quo y == %iquo(x,y) x rem y == %irem(x,y) - shift(x, y) == ASH(x,y)$Lisp + shift(x, y) == %ilshift(x,y) recip(x) == if one? x or x=-1 then x else "failed" gcd(x,y) == %igcd(x,y) UCA ==> Record(unit:%,canonical:%,associate:%) |