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-rw-r--r--src/algebra/asp.spad.pamphlet5
-rw-r--r--src/algebra/carten.spad.pamphlet24
-rw-r--r--src/algebra/clifford.spad.pamphlet16
-rw-r--r--src/algebra/derham.spad.pamphlet3
-rw-r--r--src/algebra/fnla.spad.pamphlet1
-rw-r--r--src/algebra/fourier.spad.pamphlet1
-rw-r--r--src/algebra/multpoly.spad.pamphlet6
-rw-r--r--src/algebra/pfr.spad.pamphlet7
-rw-r--r--src/algebra/polycat.spad.pamphlet2
-rw-r--r--src/algebra/tree.spad.pamphlet8
10 files changed, 23 insertions, 50 deletions
diff --git a/src/algebra/asp.spad.pamphlet b/src/algebra/asp.spad.pamphlet
index 93b26746..d95211a8 100644
--- a/src/algebra/asp.spad.pamphlet
+++ b/src/algebra/asp.spad.pamphlet
@@ -512,7 +512,6 @@ Asp19(name): Exports == Implementation where
s2 : SegmentBinding POLY INT := equation(J@S,seg2)
as : FC := assign(FJACC,[I@S::(POLY INT),J@S::(POLY INT)],0.0::EXPR FLOAT)
clear : FC := forLoop(s1,forLoop(s2,as))
- j:Integer
x:S := XC::S
pu:List(S) := []
-- Work out which variables appear in the expressions
@@ -685,7 +684,6 @@ Asp20(name): Exports == Implementation where
assign(s,j')$FortranCode
coerce(u:MAT FEXPR):$ ==
- j:Integer
x:Symbol := X::Symbol
n := nrows(u)::PI
p:VEC FEXPR := [retract(subscript(x,[j::O])$Symbol)@FEXPR for j in 1..n]
@@ -1448,7 +1446,6 @@ Asp31(name): Exports == Implementation where
assign(s,j')$FC
makeXList(n:Integer):List(Symbol) ==
- j:Integer
y:Symbol := Y::Symbol
p:List(Symbol) := []
for j in 1 .. n repeat p:= cons(subscript(y,[j::OutputForm])$Symbol,p)
@@ -2090,7 +2087,6 @@ Asp41(nameOne,nameTwo,nameThree): Exports == Implementation where
makeCodeOne(jacEps)
makeYList(n:Integer):List(Symbol) ==
- j:Integer
y:Symbol := Y::Symbol
p:List(Symbol) := []
[subscript(y,[j::OutputForm])$Symbol for j in 1..n]
@@ -2306,7 +2302,6 @@ Asp42(nameOne,nameTwo,nameThree): Exports == Implementation where
BCEPsym:Symbol:=coerce "BCEP"
makeList(n:Integer,s:Symbol):List(Symbol) ==
- j:Integer
p:List(Symbol) := []
for j in 1 .. n repeat p:= cons(subscript(s,[j::OutputForm])$Symbol,p)
reverse(p)
diff --git a/src/algebra/carten.spad.pamphlet b/src/algebra/carten.spad.pamphlet
index ed391bf4..2e0369dd 100644
--- a/src/algebra/carten.spad.pamphlet
+++ b/src/algebra/carten.spad.pamphlet
@@ -252,8 +252,6 @@ CartesianTensor(minix, dim, R): Exports == Implementation where
Rep := IndexedVector(R,0)
n: Integer
- r,s: R
- x,y,z: %
---- Local stuff
dim2: NNI := dim**2
@@ -371,23 +369,23 @@ CartesianTensor(minix, dim, R): Exports == Implementation where
n := #x
lengthRankOrElse n
- elt(x) ==
+ elt(x: %) ==
not one?(#x) => error "Index error (the rank is not 0)"
get(x,0)
- elt(x, i: I) ==
+ elt(x: %, i: I) ==
#x ~= dim => error "Index error (the rank is not 1)"
get(x,(i-minix))
- elt(x, i: I, j: I) ==
+ elt(x: %, i: I, j: I) ==
#x ~= dim2 => error "Index error (the rank is not 2)"
get(x,(dim*(i-minix) + (j-minix)))
- elt(x, i: I, j: I, k: I) ==
+ elt(x: %, i: I, j: I, k: I) ==
#x ~= dim3 => error "Index error (the rank is not 3)"
get(x,(dim2*(i-minix) + dim*(j-minix) + (k-minix)))
- elt(x, i: I, j: I, k: I, l: I) ==
+ elt(x: %, i: I, j: I, k: I, l: I) ==
#x ~= dim4 => error "Index error (the rank is not 4)"
get(x,(dim3*(i-minix) + dim2*(j-minix) + dim*(k-minix) + (l-minix)))
- elt(x, i: List I) ==
+ elt(x: %, i: List I) ==
#i ~= rank x => error "Index error (wrong rank)"
n: I := 0
for ii in i repeat
@@ -473,22 +471,22 @@ CartesianTensor(minix, dim, R): Exports == Implementation where
z := new(#x, 0)
for i in 0..#x-1 repeat set!(z, i, -get(x,i))
z
- n * x ==
+ n: Integer * x: % ==
-- [n * xi for xi in x]
z := new(#x, 0)
for i in 0..#x-1 repeat set!(z, i, n * get(x,i))
z
- x * n ==
+ x: % * n: Integer ==
-- [n * xi for xi in x]
z := new(#x, 0)
for i in 0..#x-1 repeat set!(z, i, n* get(x,i)) -- Commutative!!
z
- r * x ==
+ r: R * x: % ==
-- [r * xi for xi in x]
z := new(#x, 0)
for i in 0..#x-1 repeat set!(z, i, r * get(x,i))
z
- x * r ==
+ x: % * r: R ==
-- [xi*r for xi in x]
z := new(#x, 0)
for i in 0..#x-1 repeat set!(z, i, r* get(x,i)) -- Commutative!!
@@ -500,7 +498,7 @@ CartesianTensor(minix, dim, R): Exports == Implementation where
for j in 0..ny-1 repeat
set!(z, ioff + j, get(x,i) * get(y,j))
z
- x * y ==
+ x: % * y: % ==
rx := rank x
ry := rank y
rx = 0 => get(x,0) * y
diff --git a/src/algebra/clifford.spad.pamphlet b/src/algebra/clifford.spad.pamphlet
index 8e85a25d..2ae3cffb 100644
--- a/src/algebra/clifford.spad.pamphlet
+++ b/src/algebra/clifford.spad.pamphlet
@@ -285,10 +285,6 @@ CliffordAlgebra(n, K, Q): T == Impl where
New ==> new(dim, 0$K)$Rep
- x, y, z: %
- c: K
- m: Integer
-
characteristic == characteristic$K
dimension() == dim::CardinalNumber
@@ -300,13 +296,13 @@ CliffordAlgebra(n, K, Q): T == Impl where
x + y == (z := New; for i in 0..dim-1 repeat z.i := x.i + y.i; z)
x - y == (z := New; for i in 0..dim-1 repeat z.i := x.i - y.i; z)
- x == (z := New; for i in 0..dim-1 repeat z.i := - x.i; z)
- m * x == (z := New; for i in 0..dim-1 repeat z.i := m*x.i; z)
- c * x == (z := New; for i in 0..dim-1 repeat z.i := c*x.i; z)
+ m: Integer * x: % == (z := New; for i in 0..dim-1 repeat z.i := m*x.i; z)
+ c: K * x: % == (z := New; for i in 0..dim-1 repeat z.i := c*x.i; z)
0 == New
1 == (z := New; z.0 := 1; z)
- coerce(m): % == (z := New; z.0 := m::K; z)
- coerce(c): % == (z := New; z.0 := c; z)
+ coerce(m: Integer): % == (z := New; z.0 := m::K; z)
+ coerce(c: K): % == (z := New; z.0 := c; z)
e b ==
b::NNI > n => error "No such basis element"
@@ -333,7 +329,7 @@ CliffordAlgebra(n, K, Q): T == Impl where
z.bz := z.bz + c
z
- x * y ==
+ x: % * y: % ==
z := New
for ix in 0..dim-1 repeat
if x.ix ~= 0 then for iy in 0..dim-1 repeat
@@ -388,7 +384,7 @@ CliffordAlgebra(n, K, Q): T == Impl where
be := reduce("*", ml)
c = 1 => be
c::Ex * be
- coerce(x): Ex ==
+ coerce(x: %): Ex ==
tl := [coerceMonom(x.i,i) for i in 0..dim-1 | not zero? x.i]
null tl => "0"::Ex
reduce("+", tl)
diff --git a/src/algebra/derham.spad.pamphlet b/src/algebra/derham.spad.pamphlet
index 6e526e21..1ff71c4c 100644
--- a/src/algebra/derham.spad.pamphlet
+++ b/src/algebra/derham.spad.pamphlet
@@ -75,7 +75,6 @@ ExtAlgBasis(): Export == Implement where
Implement == add
Rep := L I
- x,y : %
x = y == x =$Rep y
@@ -105,7 +104,7 @@ ExtAlgBasis(): Export == Implement where
Nul n == [0 for i in 1..n]
- coerce x == coerce(x @ Rep)$(L I)
+ coerce(x: %) == coerce(x @ Rep)$(L I)
@
\section{domain ANTISYM AntiSymm}
diff --git a/src/algebra/fnla.spad.pamphlet b/src/algebra/fnla.spad.pamphlet
index d2e6b579..4feb3a97 100644
--- a/src/algebra/fnla.spad.pamphlet
+++ b/src/algebra/fnla.spad.pamphlet
@@ -135,7 +135,6 @@ HallBasis() : Export == Implement where
n = 0 => 1
n = 1 => d
sum:I := 0
- m:I
for m in 1..(n-1) repeat
if n rem m = 0 then
sum := sum + m * lfunc(d,m)
diff --git a/src/algebra/fourier.spad.pamphlet b/src/algebra/fourier.spad.pamphlet
index 70d7ff85..320e19a7 100644
--- a/src/algebra/fourier.spad.pamphlet
+++ b/src/algebra/fourier.spad.pamphlet
@@ -84,7 +84,6 @@ FourierSeries(R:Join(CommutativeRing,Algebra(Fraction Integer)),
Rep := List Term
multiply : (Term,Term) -> $
w,x1,x2:$
- t1,t2:Term
n:NonNegativeInteger
z:Integer
e:FourierComponent(E)
diff --git a/src/algebra/multpoly.spad.pamphlet b/src/algebra/multpoly.spad.pamphlet
index b558f0af..b0a45dfc 100644
--- a/src/algebra/multpoly.spad.pamphlet
+++ b/src/algebra/multpoly.spad.pamphlet
@@ -694,12 +694,10 @@ IndexedExponents(Varset:OrderedSet): C == T where
T == IndexedDirectProductOrderedAbelianMonoidSup(NonNegativeInteger,Varset) add
Term:= Record(k:Varset,c:NonNegativeInteger)
Rep:= List Term
- x:%
- t:Term
- coerceOF(t):OutputForm == -- converts term to OutputForm
+ coerceOF(t: Term):OutputForm == -- converts term to OutputForm
t.c = 1 => (t.k)::OutputForm
(t.k)::OutputForm ** (t.c)::OutputForm
- coerce(x):OutputForm == -- converts entire exponents to OutputForm
+ coerce(x: %):OutputForm == -- converts entire exponents to OutputForm
null x => 1::Integer::OutputForm
null rest x => coerceOF(first x)
reduce("*",[coerceOF t for t in x])
diff --git a/src/algebra/pfr.spad.pamphlet b/src/algebra/pfr.spad.pamphlet
index 6aec6821..a8de6b27 100644
--- a/src/algebra/pfr.spad.pamphlet
+++ b/src/algebra/pfr.spad.pamphlet
@@ -192,7 +192,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
b: % := compactFraction a
null b.fract => b
l : LfTerm := nil
- s : fTerm
f : R
e,d: Integer
for s in b.fract repeat
@@ -215,7 +214,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
s : fTerm := [(first af).num,(first af).den]$fTerm
f : R := nthFactor(s.den,1)
e : Integer := nthExponent(s.den,1)
- t : fTerm
for t in rest af repeat
f = nthFactor(t.den,1) =>
s.num := s.num + (t.num *
@@ -237,7 +235,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
coerce(n): % == [(n :: R), nil()$LfTerm]
coerce(a): Fraction R ==
q : Fraction R := (a.whole :: Fraction R)
- s : fTerm
for s in a.fract repeat
q := q + (s.num / (expand s.den))
q
@@ -291,7 +288,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
(a :: Fraction R) = (b :: Fraction R)
- a ==
- s: fTerm
l: LfTerm := nil
for s in reverse a.fract repeat l := cons([- s.num,s.den]$fTerm,l)
[- a.whole,l]
@@ -301,7 +297,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
r = 1$R => a
b : % := (r * a.whole) :: %
c : %
- s : fTerm
for s in reverse a.fract repeat
c := normalizeFracTerm [r * s.num, s.den]$fTerm
b.whole := b.whole + c.whole
@@ -320,7 +315,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
null b.fract => b.whole * a
af : % := [0$R, a.fract]$% -- a - a.whole
c: % := (a.whole * b) + (b.whole * af)
- s,t : fTerm
for s in a.fract repeat
for t in b.fract repeat
c := c + multiplyFracTerms(s,t)
@@ -328,7 +322,6 @@ PartialFraction(R: EuclideanDomain): Cat == Capsule where
coerce(a): Ex ==
null a.fract => a.whole :: Ex
- s : fTerm
l : List Ex
if a.whole = 0 then l := nil else l := [a.whole :: Ex]
for s in a.fract repeat
diff --git a/src/algebra/polycat.spad.pamphlet b/src/algebra/polycat.spad.pamphlet
index d3107611..13e15053 100644
--- a/src/algebra/polycat.spad.pamphlet
+++ b/src/algebra/polycat.spad.pamphlet
@@ -138,7 +138,7 @@ FiniteAbelianMonoidRing(R:Ring, E:OrderedAbelianMonoid): Category ==
if R has CommutativeRing then
binomThmExpt(x,y,nn) ==
nn = 0 => 1$%
- ans,xn,yn: %
+ ans,yn: %
bincoef: Integer
powl: List(%):= [x]
for i in 2..nn repeat powl:=[x * powl.first, :powl]
diff --git a/src/algebra/tree.spad.pamphlet b/src/algebra/tree.spad.pamphlet
index be99d1f7..5a56673f 100644
--- a/src/algebra/tree.spad.pamphlet
+++ b/src/algebra/tree.spad.pamphlet
@@ -55,10 +55,6 @@ Tree(S: SetCategory): T==C where
cycleTreeMax ==> 5
Rep := Union(node:Record(value: S, args: List %),empty:"empty")
- t:%
- br:%
- s: S
- ls: List S
empty? t == t case empty
empty() == ["empty"]
children t ==
@@ -89,8 +85,8 @@ Tree(S: SetCategory): T==C where
for c in children t repeat map!(fn, c)
t
tree(s,lt) == [[s,lt]]
- tree(s) == [[s,[]]]
- tree(ls) ==
+ tree(s: S) == [[s,[]]]
+ tree(ls: List S) ==
empty? ls => empty()
tree(first ls, [tree s for s in rest ls])
value t ==
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-29 02:03:44 +0000