diff options
Diffstat (limited to 'src/algebra/curve.spad.pamphlet')
| -rw-r--r-- | src/algebra/curve.spad.pamphlet | 14 |
1 files changed, 8 insertions, 6 deletions
diff --git a/src/algebra/curve.spad.pamphlet b/src/algebra/curve.spad.pamphlet index a5eceb29..5a697c2b 100644 --- a/src/algebra/curve.spad.pamphlet +++ b/src/algebra/curve.spad.pamphlet @@ -686,7 +686,7 @@ RadicalFunctionField(F, UP, UPUP, radicnd, n): Exports == Impl where qsetelt!(v, k, (qelt(ib.basis, i, j) / ib.basisDen) * a) qsetelt!(w, k, qelt(ib.basisInv, i, j) * inv a) a := a * c - void + void() charPStartUp() == r := mkIntegral modulus @@ -704,7 +704,7 @@ RadicalFunctionField(F, UP, UPUP, radicnd, n): Exports == Impl where radicnd ** n1 * */[qelt(ibasis, i) ** 2 for i in mini..maxIndex ibasis] discPoly() := primitivePart(numer dsc) / denom(dsc) - void + void() char0StartUp() == rp := rootPoly(radicnd, n) @@ -719,7 +719,7 @@ RadicalFunctionField(F, UP, UPUP, radicnd, n): Exports == Impl where invden := invden / rp.coef -- always equals 1/rp.coef**(i-mini) qsetelt!(infbasis, i, a := qelt(infb, i)) qsetelt!(invinfbasis, i, inv a) - void + void() ramified?(p:UP) == (r := retractIfCan(p)@Union(F, "failed")) case F => @@ -821,7 +821,7 @@ AlgebraicFunctionField(F, UP, UPUP, modulus): Exports == Impl where for j in minColIndex ib .. maxColIndex ib repeat infbasis(i, j) := qelt(ib, i, j) invinfbasis(i, j) := invib(i, j) - void + void() getInfBasis() == x := inv(monomial(1, 1)$UP :: RF) @@ -844,7 +844,7 @@ AlgebraicFunctionField(F, UP, UPUP, modulus): Exports == Impl where for j in minColIndex ibasis .. maxColIndex ibasis repeat infbasis(i, j) := qelt(ib2, i, j) invinfbasis(i, j) := invib2(i, j) - void + void() startUp b == brandNew?() := b @@ -869,7 +869,7 @@ AlgebraicFunctionField(F, UP, UPUP, modulus): Exports == Impl where infBr?() := degree(numer dsc0) < degree(denom dsc0) dsc := dsc * determinant(ibasis) ** 2 discPoly() := primitivePart(numer dsc) / denom(dsc) - void + void() integralDerivationMatrix d == w := integralBasis() @@ -890,6 +890,8 @@ AlgebraicFunctionField(F, UP, UPUP, modulus): Exports == Impl where <<license>>= --Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --All rights reserved. +--Copyright (C) 2007-2010, Gabriel Dos Reis. +--All rights reserved. -- --Redistribution and use in source and binary forms, with or without --modification, are permitted provided that the following conditions are |