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-rw-r--r--src/algebra/Makefile.in11
-rw-r--r--src/algebra/Makefile.pamphlet11
-rw-r--r--src/algebra/exposed.lsp.pamphlet1
-rw-r--r--src/algebra/fparfrac.spad.pamphlet12
-rw-r--r--src/algebra/gseries.spad.pamphlet8
-rw-r--r--src/algebra/laurent.spad.pamphlet8
-rw-r--r--src/algebra/puiseux.spad.pamphlet6
-rw-r--r--src/algebra/suls.spad.pamphlet8
-rw-r--r--src/algebra/supxs.spad.pamphlet6
-rw-r--r--src/algebra/suts.spad.pamphlet8
-rw-r--r--src/algebra/taylor.spad.pamphlet8
11 files changed, 38 insertions, 49 deletions
diff --git a/src/algebra/Makefile.in b/src/algebra/Makefile.in
index efcfdf48..ebfc81c3 100644
--- a/src/algebra/Makefile.in
+++ b/src/algebra/Makefile.in
@@ -770,12 +770,12 @@ axiom_algebra_layer_14_objects = \
$(addsuffix .$(FASLEXT),$(axiom_algebra_layer_14)))
$(OUT)/EXPUPXS.$(FASLEXT): $(OUT)/UPXS.$(FASLEXT)
$(OUT)/UPXS.$(FASLEXT): $(OUT)/UPXSCAT.$(FASLEXT) $(OUT)/UPXSCONS.$(FASLEXT) \
- $(OUT)/ULS.$(FASLEXT)
+ $(OUT)/ULS.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
$(OUT)/UPXSCONS.$(FASLEXT): $(OUT)/UPXSCCA.$(FASLEXT)
-$(OUT)/ULS.$(FASLEXT): $(OUT)/ULSCONS.$(FASLEXT)
+$(OUT)/ULS.$(FASLEXT): $(OUT)/ULSCONS.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
$(OUT)/ULSCONS.$(FASLEXT): $(OUT)/ULSCCAT.$(FASLEXT)
$(OUT)/ULSCCAT.$(FASLEXT): $(OUT)/UTS.$(FASLEXT)
-$(OUT)/UTS.$(FASLEXT): $(OUT)/UTSCAT.$(FASLEXT)
+$(OUT)/UTS.$(FASLEXT): $(OUT)/UTSCAT.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_15 = \
DSMP EXPUPXS UPXS UPXSCONS \
@@ -831,6 +831,7 @@ axiom_algebra_layer_18_objects = \
$(addprefix $(OUT)/, \
$(addsuffix .$(FASLEXT),$(axiom_algebra_layer_18)))
$(OUT)/TSETCAT.$(FASLEXT): $(OUT)/PSETCAT.$(FASLEXT) $(OUT)/RPOLCAT.$(FASLEXT)
+$(OUT)/FPARFRAC.$(FASLEXT): $(OUT)/DIFFSPC.$(FASLEXT)
axiom_algebra_layer_19 = \
ACPLOT ANTISYM ATTRBUT \
@@ -869,6 +870,7 @@ axiom_algebra_layer_19_objects = \
$(addsuffix .$(FASLEXT),$(axiom_algebra_layer_19)))
$(OUT)/AN.$(FASLEXT): $(OUT)/IAN.$(FASLEXT)
$(OUT)/IAN.$(FASLEXT): $(OUT)/EXPR.$(FASLEXT)
+$(OUT)/SUTS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_20 = \
AF ALGFACT ALGFF ALGMANIP ALGMFACT ALGPKG \
@@ -910,6 +912,9 @@ axiom_algebra_layer_20_objects = \
$(addprefix $(OUT)/, \
$(addsuffix .$(FASLEXT),$(axiom_algebra_layer_20)))
$(OUT)/FDIV.$(FASLEXT): $(OUT)/HELLFDIV.$(FASLEXT)
+$(OUT)/GSERIES.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
+$(OUT)/SULS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
+$(OUT)/SUPXS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_21 = \
DEFINTEF DFINTTLS DEFINTRF D01TRNS \
diff --git a/src/algebra/Makefile.pamphlet b/src/algebra/Makefile.pamphlet
index a52c8977..29e74be9 100644
--- a/src/algebra/Makefile.pamphlet
+++ b/src/algebra/Makefile.pamphlet
@@ -802,12 +802,12 @@ axiom_algebra_layer_14_objects = \
<<layer15>>=
$(OUT)/EXPUPXS.$(FASLEXT): $(OUT)/UPXS.$(FASLEXT)
$(OUT)/UPXS.$(FASLEXT): $(OUT)/UPXSCAT.$(FASLEXT) $(OUT)/UPXSCONS.$(FASLEXT) \
- $(OUT)/ULS.$(FASLEXT)
+ $(OUT)/ULS.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
$(OUT)/UPXSCONS.$(FASLEXT): $(OUT)/UPXSCCA.$(FASLEXT)
-$(OUT)/ULS.$(FASLEXT): $(OUT)/ULSCONS.$(FASLEXT)
+$(OUT)/ULS.$(FASLEXT): $(OUT)/ULSCONS.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
$(OUT)/ULSCONS.$(FASLEXT): $(OUT)/ULSCCAT.$(FASLEXT)
$(OUT)/ULSCCAT.$(FASLEXT): $(OUT)/UTS.$(FASLEXT)
-$(OUT)/UTS.$(FASLEXT): $(OUT)/UTSCAT.$(FASLEXT)
+$(OUT)/UTS.$(FASLEXT): $(OUT)/UTSCAT.$(FASLEXT) $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_15 = \
DSMP EXPUPXS UPXS UPXSCONS \
@@ -883,6 +883,7 @@ axiom_algebra_layer_18_objects = \
<<layer19>>=
$(OUT)/TSETCAT.$(FASLEXT): $(OUT)/PSETCAT.$(FASLEXT) $(OUT)/RPOLCAT.$(FASLEXT)
+$(OUT)/FPARFRAC.$(FASLEXT): $(OUT)/DIFFSPC.$(FASLEXT)
axiom_algebra_layer_19 = \
ACPLOT ANTISYM ATTRBUT \
@@ -926,6 +927,7 @@ axiom_algebra_layer_19_objects = \
<<layer20>>=
$(OUT)/AN.$(FASLEXT): $(OUT)/IAN.$(FASLEXT)
$(OUT)/IAN.$(FASLEXT): $(OUT)/EXPR.$(FASLEXT)
+$(OUT)/SUTS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_20 = \
AF ALGFACT ALGFF ALGMANIP ALGMFACT ALGPKG \
@@ -972,6 +974,9 @@ axiom_algebra_layer_20_objects = \
<<layer21>>=
$(OUT)/FDIV.$(FASLEXT): $(OUT)/HELLFDIV.$(FASLEXT)
+$(OUT)/GSERIES.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
+$(OUT)/SULS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
+$(OUT)/SUPXS.$(FASLEXT): $(OUT)/PDDOM.$(FASLEXT)
axiom_algebra_layer_21 = \
DEFINTEF DFINTTLS DEFINTRF D01TRNS \
diff --git a/src/algebra/exposed.lsp.pamphlet b/src/algebra/exposed.lsp.pamphlet
index ea6b06ce..80bb4c66 100644
--- a/src/algebra/exposed.lsp.pamphlet
+++ b/src/algebra/exposed.lsp.pamphlet
@@ -737,6 +737,7 @@
(|PAdicIntegerCategory| . PADICCT)
(|PartialDifferentialDomain| . PDDOM)
(|PartialDifferentialRing| . PDRING)
+ (|PartialDifferentialSpace| . PDSPC)
(|PartialTranscendentalFunctions| . PTRANFN)
(|Patternable| . PATAB)
(|PatternMatchable| . PATMAB)
diff --git a/src/algebra/fparfrac.spad.pamphlet b/src/algebra/fparfrac.spad.pamphlet
index ed7bce9d..b769ba05 100644
--- a/src/algebra/fparfrac.spad.pamphlet
+++ b/src/algebra/fparfrac.spad.pamphlet
@@ -15,7 +15,7 @@
++ Full partial fraction expansion of rational functions
++ Author: Manuel Bronstein
++ Date Created: 9 December 1992
-++ Date Last Updated: 6 October 1993
+++ Date Last Updated: June 18, 2010
++ References: M.Bronstein & B.Salvy,
++ Full Partial Fraction Decomposition of Rational Functions,
++ in Proceedings of ISSAC'93, Kiev, ACM Press.
@@ -34,7 +34,7 @@ FullPartialFractionExpansion(F, UP): Exports == Implementation where
ODF ==> Fraction ODP
FPF ==> Record(polyPart: UP, fracPart: List REC)
- Exports ==> Join(SetCategory, ConvertibleTo RF) with
+ Exports ==> Join(SetCategory, DifferentialSpace, ConvertibleTo RF) with
+: (UP, $) -> $
++ p + x returns the sum of p and x
fullPartialFraction: RF -> $
@@ -46,14 +46,6 @@ FullPartialFractionExpansion(F, UP): Exports == Implementation where
++ fracPart(f) returns the list of summands of the fractional part of f.
construct: List REC -> $
++ construct(l) is the inverse of fracPart.
- differentiate: $ -> $
- ++ differentiate(f) returns the derivative of f.
- D: $ -> $
- ++ D(f) returns the derivative of f.
- differentiate: ($, N) -> $
- ++ differentiate(f, n) returns the n-th derivative of f.
- D: ($, NonNegativeInteger) -> $
- ++ D(f, n) returns the n-th derivative of f.
Implementation ==> add
Rep := FPF
diff --git a/src/algebra/gseries.spad.pamphlet b/src/algebra/gseries.spad.pamphlet
index d6ea733c..b9085625 100644
--- a/src/algebra/gseries.spad.pamphlet
+++ b/src/algebra/gseries.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev domain GSERIES GeneralUnivariatePowerSeries
++ Author: Clifton J. Williamson
++ Date Created: 22 September 1993
-++ Date Last Updated: 23 September 1993
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains:
++ Also See:
@@ -40,15 +40,13 @@ GeneralUnivariatePowerSeries(Coef,var,cen): Exports == Implementation where
EFUPXS ==> ElementaryFunctionsUnivariatePuiseuxSeries
FS2UPS ==> FunctionSpaceToUnivariatePowerSeries
- Exports ==> UnivariatePuiseuxSeriesCategory Coef with
+ Exports ==> Join(UnivariatePuiseuxSeriesCategory Coef,_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: Variable(var) -> %
++ coerce(var) converts the series variable \spad{var} into a
++ Puiseux series.
coerce: UPXS(Coef,var,cen) -> %
++ coerce(f) converts a Puiseux series to a general power series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power
diff --git a/src/algebra/laurent.spad.pamphlet b/src/algebra/laurent.spad.pamphlet
index 0a22f478..1bfafeea 100644
--- a/src/algebra/laurent.spad.pamphlet
+++ b/src/algebra/laurent.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev category ULSCCAT UnivariateLaurentSeriesConstructorCategory
++ Author: Clifton J. Williamson
++ Date Created: 6 February 1990
-++ Date Last Updated: 10 May 1990
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains:
++ Also See:
@@ -562,13 +562,11 @@ UnivariateLaurentSeries(Coef,var,cen): Exports == Implementation where
I ==> Integer
UTS ==> UnivariateTaylorSeries(Coef,var,cen)
- Exports ==> UnivariateLaurentSeriesConstructorCategory(Coef,UTS) with
+ Exports ==> Join(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: Variable(var) -> %
++ \spad{coerce(var)} converts the series variable \spad{var} into a
++ Laurent series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power
diff --git a/src/algebra/puiseux.spad.pamphlet b/src/algebra/puiseux.spad.pamphlet
index fc5321ec..d9104a28 100644
--- a/src/algebra/puiseux.spad.pamphlet
+++ b/src/algebra/puiseux.spad.pamphlet
@@ -413,7 +413,7 @@ UnivariatePuiseuxSeriesConstructor(Coef,ULS):_
)abbrev domain UPXS UnivariatePuiseuxSeries
++ Author: Clifton J. Williamson
++ Date Created: 28 January 1990
-++ Date Last Updated: 21 September 1993
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains:
++ Also See:
@@ -442,10 +442,8 @@ UnivariatePuiseuxSeries(Coef,var,cen): Exports == Implementation where
ULS ==> UnivariateLaurentSeries(Coef,var,cen)
Exports ==> Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),_
+ PartialDifferentialDomain(%,Variable var),_
RetractableTo UTS,CoercibleFrom Variable var) with
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power
diff --git a/src/algebra/suls.spad.pamphlet b/src/algebra/suls.spad.pamphlet
index 2b1db3b9..efd567aa 100644
--- a/src/algebra/suls.spad.pamphlet
+++ b/src/algebra/suls.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev domain SULS SparseUnivariateLaurentSeries
++ Author: Clifton J. Williamson
++ Date Created: 11 November 1994
-++ Date Last Updated: 10 March 1995
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains: InnerSparseUnivariatePowerSeries,
++ SparseUnivariateTaylorSeries, SparseUnivariatePuiseuxSeries
@@ -44,13 +44,11 @@ SparseUnivariateLaurentSeries(Coef,var,cen): Exports == Implementation where
SUTS ==> SparseUnivariateTaylorSeries(Coef,var,cen)
EFULS ==> ElementaryFunctionsUnivariateLaurentSeries(Coef,SUTS,%)
- Exports ==> UnivariateLaurentSeriesConstructorCategory(Coef,SUTS) with
+ Exports ==> Join(UnivariateLaurentSeriesConstructorCategory(Coef,SUTS),_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: Variable(var) -> %
++ \spad{coerce(var)} converts the series variable \spad{var} into a
++ Laurent series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power
diff --git a/src/algebra/supxs.spad.pamphlet b/src/algebra/supxs.spad.pamphlet
index a8591584..a911aa38 100644
--- a/src/algebra/supxs.spad.pamphlet
+++ b/src/algebra/supxs.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev domain SUPXS SparseUnivariatePuiseuxSeries
++ Author: Clifton J. Williamson
++ Date Created: 11 November 1994
-++ Date Last Updated: 28 February 1995
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains: InnerSparseUnivariatePowerSeries,
++ SparseUnivariateTaylorSeries, SparseUnivariateLaurentSeries
@@ -43,10 +43,8 @@ SparseUnivariatePuiseuxSeries(Coef,var,cen): Exports == Implementation where
SUPS ==> InnerSparseUnivariatePowerSeries(Coef)
Exports ==> Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SULS),_
+ PartialDifferentialDomain(%,Variable var),_
RetractableTo SUTS,CoercibleFrom Variable var) with
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} returns the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x))} returns an anti-derivative of the power
diff --git a/src/algebra/suts.spad.pamphlet b/src/algebra/suts.spad.pamphlet
index 8e5f4106..ecd46bad 100644
--- a/src/algebra/suts.spad.pamphlet
+++ b/src/algebra/suts.spad.pamphlet
@@ -14,7 +14,7 @@
)abbrev domain SUTS SparseUnivariateTaylorSeries
++ Author: Clifton J. Williamson
++ Date Created: 16 February 1990
-++ Date Last Updated: 10 March 1995
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains: InnerSparseUnivariatePowerSeries,
++ SparseUnivariateLaurentSeries, SparseUnivariatePuiseuxSeries
@@ -47,7 +47,8 @@ SparseUnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where
ST ==> Stream Term
UP ==> UnivariatePolynomial(var,Coef)
- Exports ==> UnivariateTaylorSeriesCategory(Coef) with
+ Exports ==> Join(UnivariateTaylorSeriesCategory(Coef),_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: UP -> %
++\spad{coerce(p)} converts a univariate polynomial p in the variable
++\spad{var} to a univariate Taylor series in \spad{var}.
@@ -57,9 +58,6 @@ SparseUnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where
coerce: Variable(var) -> %
++\spad{coerce(var)} converts the series variable \spad{var} into a
++ Taylor series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} computes the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
if Coef has Algebra Fraction Integer then
integrate: (%,Variable(var)) -> %
++ \spad{integrate(f(x),x)} returns an anti-derivative of the power
diff --git a/src/algebra/taylor.spad.pamphlet b/src/algebra/taylor.spad.pamphlet
index e85c7a85..e3e01da9 100644
--- a/src/algebra/taylor.spad.pamphlet
+++ b/src/algebra/taylor.spad.pamphlet
@@ -141,7 +141,7 @@ InnerTaylorSeries(Coef): Exports == Implementation where
)abbrev domain UTS UnivariateTaylorSeries
++ Author: Clifton J. Williamson
++ Date Created: 21 December 1989
-++ Date Last Updated: 21 September 1993
+++ Date Last Updated: June 18, 2010
++ Basic Operations:
++ Related Domains: UnivariateLaurentSeries(Coef,var,cen), UnivariatePuiseuxSeries(Coef,var,cen)
++ Also See:
@@ -170,7 +170,8 @@ UnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where
STT ==> StreamTaylorSeriesOperations Coef
TERM ==> Record(k:NNI,c:Coef)
UP ==> UnivariatePolynomial(var,Coef)
- Exports ==> UnivariateTaylorSeriesCategory(Coef) with
+ Exports ==> Join(UnivariateTaylorSeriesCategory(Coef),_
+ PartialDifferentialDomain(%,Variable var)) with
coerce: UP -> %
++\spad{coerce(p)} converts a univariate polynomial p in the variable
++\spad{var} to a univariate Taylor series in \spad{var}.
@@ -180,9 +181,6 @@ UnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where
coerce: Variable(var) -> %
++\spad{coerce(var)} converts the series variable \spad{var} into a
++ Taylor series.
- differentiate: (%,Variable(var)) -> %
- ++ \spad{differentiate(f(x),x)} computes the derivative of
- ++ \spad{f(x)} with respect to \spad{x}.
lagrange: % -> %
++\spad{lagrange(g(x))} produces the Taylor series for \spad{f(x)}
++ where \spad{f(x)} is implicitly defined as \spad{f(x) = x*g(f(x))}.
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-09 00:05:42 +0000