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[Axiom-developer] 20080106.01.tpd.patch
|
From: |
daly |
|
Subject: |
[Axiom-developer] 20080106.01.tpd.patch |
|
Date: |
Sun, 6 Jan 2008 17:55:28 -0600 |
This started with a change in integer.spad.pamphlet from
PositiveInteger: Join(AbelianSemiGroup,OrderedSet,Monoid) with
to
PositiveInteger: Join(OrderedAbelianSemiGroup,Monoid) with
This had the interesting side-effect of changing complex values from
a + -bi to a - bi
Many of the regression test files were update to reflect this change.
This change also backed out the Gamma change. Gamma used to print as
_ 3
| -
4
but the prior patch prints is as:
- 3
| -
4
which looks like a negative 3 so the patch was withdrawn.
The change also highlighted some missed gensyms that needed to be
ignored.
These are all minor matters and combined into one patch.
I will be away at a funeral for the week.
Tim
===================================================================
diff --git a/changelog b/changelog
index 7c5d8fe..a4b3797 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,26 @@
+20080106 tpd src/algebra/combfunc.spad \mathbb -> \bf
+20080106 tpd src/algebra/op.spad revert dgamma change, reject patch
+20080106 tpd src/scripts/tex/axiom.sty add binom for combfunc
+20080106 tpd src/doc/axiom.sty add binom for combfunc
+20080105 tpd src/input/Makefile add pfaffian
+20080105 tpd src/input/pfaffian.input created
+20080105 tpd src/algebra/acplot.spad fix output form of negative numbers
+20080105 tpd src/algebra/sf.spad fix output form of negative numbers
+20080105 tpd src/input/summation.input add mathml output
+20080105 tpd src/input/r20bugs.input change spacing in S 17
+20080105 tpd src/input/pmint.input rewrite
+20080105 tpd src/input/ndftip.input fix missing blank lines
+20080105 tpd src/input/mathml.input new mathml sub/sup handling
+20080105 tpd src/input/mapleok.input ignore gensyms
+20080105 tpd src/input/kamke3.input mark random generation failure ok
+20080105 tpd src/input/is.input type-declare the function f
+20080105 tpd src/input/intg0.input ignore gensyms
+20080105 tpd src/input/ico.input mark random generation failure ok
+20080105 tpd src/input/grpthry.input mark random generation failure ok
+20080105 tpd src/input/elemnum.input a + -bi now becomes a - bi
+20080105 tpd src/input/dfloat.input fix output form of negative numbers
+20080105 tpd src/input/classtalk.input ignore gensyms
+20080105 tpd src/algebra/integer.spad transparent(?) category change
20080104 tpd changelog correct the author of besselk patches
20080104 mxr src/input/repa6.input fix function names (7093)
20080104 mxr src/input/knot2.input fix function names (7093)
diff --git a/src/algebra/acplot.spad.pamphlet b/src/algebra/acplot.spad.pamphlet
index 8a1ad4a..a39e3b6 100644
--- a/src/algebra/acplot.spad.pamphlet
+++ b/src/algebra/acplot.spad.pamphlet
@@ -228,8 +228,8 @@ makeSketch(x+y,x,y,-1/2..1/2,-1/2..1/2)$ACPLOT
--R 1 1 1 1
--R y + x = 0, - - <= x <= -, - - <= y <= -
--R 2 2 2 2
---R [0.5,-0.5]
---R [-0.5,0.5]
+--R [0.5,- 0.5]
+--R [- 0.5,0.5]
--R Type:
PlaneAlgebraicCurvePlot
--E 1
)spool
diff --git a/src/algebra/combfunc.spad.pamphlet
b/src/algebra/combfunc.spad.pamphlet
index 9da05e9..24dd91a 100644
--- a/src/algebra/combfunc.spad.pamphlet
+++ b/src/algebra/combfunc.spad.pamphlet
@@ -110,7 +110,7 @@ $$\binom{n}{k}+\binom{n}{k+1}=\binom{n+1}{k+1}.$$
Alternatively, one can use the formula
$$ \binom{n}{k}=\frac{\Gamma(n+1)}{\Gamma(k+1)\Gamma(n-k+1)}, $$
-and leave the case where $k\in\mathbb Z$, $n\in\mathbb Z$ and $k \leq n < 0$
+and leave the case where $k\in {\bf Z}$, $n\in {\bf Z}$ and $k \leq n < 0$
undefined, since the limit does not exist in this case:
Since we then have that $n-k+1\geq 1$, $\Gamma(n-k+1)$ is finite. So it is
@@ -123,7 +123,7 @@ $$\lim_{k_0\to k} \lim_{n_0\to
n}\frac{\Gamma(n_0+1)}{\Gamma(k_0+1)}$$
does not exist, since for non-integral $k_0$, $\Gamma(k_0+1)$ is finite while
$\Gamma(n_0+1)$ is unbounded.
-However, since for $k\in\mathbb Z$, $n\in\mathbb Z$ and $0 < k < n$ both
+However, since for $k\in {\bf Z}$, $n\in {\bf Z}$ and $0 < k < n$ both
definitions agree, one could also combine them. This is what, for example,
Mathematica does. It seems that MuPAD sets [[binomial(n,n)=1]] for all
arguments [[n]], and returns [[binomial(-2, n)]] unevaluated. Provisos may help
diff --git a/src/algebra/integer.spad.pamphlet
b/src/algebra/integer.spad.pamphlet
index 16ac727..c415a4e 100644
--- a/src/algebra/integer.spad.pamphlet
+++ b/src/algebra/integer.spad.pamphlet
@@ -1323,7 +1323,7 @@ Note that this code is not included in the generated
catdef.spad file.
++ Keywords: positive integer
++ Description: \spadtype{PositiveInteger} provides functions for
++ positive integers.
-PositiveInteger: Join(AbelianSemiGroup,OrderedSet,Monoid) with
+PositiveInteger: Join(OrderedAbelianSemiGroup,Monoid) with
gcd: (%,%) -> %
++ gcd(a,b) computes the greatest common divisor of two
++ positive integers \spad{a} and b.
diff --git a/src/algebra/op.spad.pamphlet b/src/algebra/op.spad.pamphlet
index 51d4d6c..cd18222 100644
--- a/src/algebra/op.spad.pamphlet
+++ b/src/algebra/op.spad.pamphlet
@@ -749,23 +749,7 @@ CommonOperators(): Exports == Implementation where
dpi l == "%pi"::Symbol::O
dfact x == postfix("!"::Symbol::O, (ATOM(x)$Lisp => x; paren x))
dquote l == prefix(quote(first(l)::O), rest l)
-@
-It is certainly an abuse of OutputForm to produce a Gamma as done below.
-Originally, it was even worse (Issue~\#6):
-\begin{verbatim}
dgamma l == prefix(hconcat("|"::Symbol::O, overbar(" "::Symbol::O)), l)
-\end{verbatim}
-which was TeXed to
-$${|{\overline{\ }}}
-\left(
-{x}
-\right).
-$$
-
-The right thing would be to introduce Greek letters in OutputForm, but
-that should be coordinated with the new mathml package
-<<package COMMONOP CommonOperators>>=
- dgamma l == prefix(super("|"::Symbol::O, "-"::Symbol::O), l)
setDummyVar(op, n) == setProperty(op, DUMMYVAR, n pretend None)
dexp x ==
diff --git a/src/algebra/sf.spad.pamphlet b/src/algebra/sf.spad.pamphlet
index 571ccd0..1517c92 100644
--- a/src/algebra/sf.spad.pamphlet
+++ b/src/algebra/sf.spad.pamphlet
@@ -843,7 +843,7 @@ avg [3.4,9.7,-6.8]
cos(3.1415926)$DoubleFloat
--R
--R
---R (9) -0.99999999999999856
+--R (9) - 0.99999999999999856
--R Type:
DoubleFloat
--E 9
@@ -851,7 +851,7 @@ cos(3.1415926)$DoubleFloat
cos(3.1415926 :: DoubleFloat)
--R
--R
---R (10) -0.99999999999999856
+--R (10) - 0.99999999999999856
--R Type:
DoubleFloat
--E 10
)spool
diff --git a/src/doc/axiom.sty.pamphlet b/src/doc/axiom.sty.pamphlet
index cce87ad..a8ffdba 100644
--- a/src/doc/axiom.sty.pamphlet
+++ b/src/doc/axiom.sty.pamphlet
@@ -1613,6 +1613,8 @@ macro. There must be a more elegant way of coding the
tests below\ldots
% We use providecommand so it doesn't clash with amsmath package
\providecommand{\eth}[1]{{#1}-th}
+% add the binom function for combfunc
+\providecommand{\binom}[2]{\left(\begin{array}{c}#1\\#2\end{array}\right)}
@
\subsubsection{Support for English}
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet
index 8b79668..df8457c 100644
--- a/src/input/Makefile.pamphlet
+++ b/src/input/Makefile.pamphlet
@@ -313,6 +313,7 @@ REGRES= algaggr.regress algbrbf.regress algfacob.regress
alist.regress \
float.regress fname1.regress fname.regress fnla.regress \
fns.regress fparfrac.regress fparfrc.regress fr1.regress \
fr2.regress frac.regress fr.regress galois.regress \
+ gamma.regress \
gbf.regress genups.regress gonshor.regress grpthry.regress \
gstbl.regress heap.regress heat.regress help.regress \
herm.regress hexadec.regress ico.regress ideal.regress \
@@ -342,7 +343,7 @@ REGRES= algaggr.regress algbrbf.regress algfacob.regress
alist.regress \
padic.regress parabola.regress pascal1.regress pascal.regress \
patch51.regress page.regress \
patmatch.regress pat.regress perman.regress perm.regress \
- pfr1.regress pfr.regress pmint.regress \
+ pfaffian.regress pfr1.regress pfr.regress pmint.regress \
poly1.regress polycoer.regress poly.regress psgenfcn.regress \
quat1.regress quat.regress r20abugs.regress r20bugs.regress \
r21bugsbig.regress r21bugs.regress radff.regress radix.regress \
@@ -599,7 +600,7 @@ FILES= ${OUT}/algaggr.input ${OUT}/algbrbf.input
${OUT}/algfacob.input \
${OUT}/pascal.input \
${OUT}/patch51.input \
${OUT}/patmatch.input ${OUT}/perman.input \
- ${OUT}/perm.input \
+ ${OUT}/perm.input ${OUT}/pfaffian.input \
${OUT}/pfr.input ${OUT}/pfr1.input \
${OUT}/pinch.input ${OUT}/plotfile.input ${OUT}/pollevel.input \
${OUT}/pmint.input ${OUT}/polycoer.input \
@@ -648,7 +649,7 @@ FILES2=${OUT}/arith.input ${OUT}/bugs.input \
${OUT}/exlimit.input \
${OUT}/expr.input ${OUT}/exprode.input ${OUT}/exseries.input \
${OUT}/exsum.input ${OUT}/fns.input \
- ${OUT}/function.input ${OUT}/galois.input \
+ ${OUT}/function.input ${OUT}/galois.input ${OUT}/gamma.input \
${OUT}/grpthry.input \
${OUT}/help.input ${OUT}/intef2.input \
${OUT}/intmix2.input ${OUT}/knot2.input ${OUT}/linalg.input \
@@ -806,6 +807,7 @@ DOCFILES= \
${DOC}/fr1.input.dvi ${DOC}/fr2.input.dvi \
${DOC}/frac.input.dvi ${DOC}/fr.input.dvi \
${DOC}/function.input.dvi ${DOC}/galois.input.dvi \
+ ${DOC}/gamma.input.dvi \
${DOC}/gary1.input.dvi ${DOC}/gbf.input.dvi \
${DOC}/genups.input.dvi ${DOC}/gnarly1.input.dvi \
${DOC}/gonshor.input.dvi ${DOC}/graphics.input.dvi \
@@ -881,7 +883,7 @@ DOCFILES= \
${DOC}/pat.input.dvi ${DOC}/patch51.input.dvi \
${DOC}/patmatch.input.dvi \
${DOC}/pdecomp0.as.dvi ${DOC}/perman.input.dvi \
- ${DOC}/perm.input.dvi \
+ ${DOC}/perm.input.dvi ${DOC}/pfaffian.input.dvi \
${DOC}/pfr1.input.dvi \
${DOC}/pfr.input.dvi ${DOC}/pinch.input.dvi \
${DOC}/plotfile.input.dvi ${DOC}/plotlist.input.dvi \
diff --git a/src/input/classtalk.input.pamphlet
b/src/input/classtalk.input.pamphlet
index 7f89df1..2f3eca3 100644
--- a/src/input/classtalk.input.pamphlet
+++ b/src/input/classtalk.input.pamphlet
@@ -705,7 +705,7 @@ solve([x+y+z=8,3*x-2*y+z=0,x+2*y+2*z=17],[x,y,z])
--S 70
solve([x+2*y+3*z=2,2*x+3*y+4*z=2,3*x+4*y+5*z=2],[x,y,z])
--R
---R (2) [[x= %W - 2,y= - 2%W + 2,z= %W]]
+--I (2) [[x= %W - 2,y= - 2%W + 2,z= %W]]
--R Type: List List Equation Fraction Polynomial
Integer
--E 70
diff --git a/src/input/dfloat.input.pamphlet b/src/input/dfloat.input.pamphlet
index f3e3468..75eeb5f 100644
--- a/src/input/dfloat.input.pamphlet
+++ b/src/input/dfloat.input.pamphlet
@@ -86,7 +86,7 @@ avg [3.4,9.7,-6.8]
cos(3.1415926)$DoubleFloat
--R
--R
---R (9) -0.99999999999999856
+--R (9) - 0.99999999999999856
--R Type:
DoubleFloat
--E 9
@@ -94,7 +94,7 @@ cos(3.1415926)$DoubleFloat
cos(3.1415926 :: DoubleFloat)
--R
--R
---R (10) -0.99999999999999856
+--R (10) - 0.99999999999999856
--R Type:
DoubleFloat
--E 10
)spool
diff --git a/src/input/elemnum.input.pamphlet b/src/input/elemnum.input.pamphlet
index 0581410..137b32d 100644
--- a/src/input/elemnum.input.pamphlet
+++ b/src/input/elemnum.input.pamphlet
@@ -176,7 +176,7 @@ x := 0.7::DoubleFloat
--R
--R
--R (18)
---R [0.69999999999999996, 0.69999999999999996, 0.69999999999999996,
+--R [0.69999999999999996, 0.70000000000000007, 0.69999999999999996,
--R 0.69999999999999996]
--R Type: List
DoubleFloat
--E 18
@@ -255,7 +255,7 @@ x := 1.1::DoubleFloat
--R
--R
--R (26)
---R [1.1000000000000001, 1.1000000000000001, 1.1000000000000001,
+--R [1.1000000000000003, 1.1000000000000001, 1.1000000000000001,
--R 1.1000000000000001, 1.0999999999999999, 1.1000000000000001]
--R Type: List
DoubleFloat
--E 26
@@ -351,25 +351,24 @@ qtest(sa, sb, 1)
--R PositiveInteger) -> List Complex DoubleFloat
--R
--R (35)
---R [1.1102230246251565E-16,
---R 2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
---R -2.2204460492503131E-16,
---R -4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
---R 4.4408920985006262E-16, -1.1102230246251565E-16,
---R -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
+--R [1.1102230246251565E-16, 2.2204460492503131E-16 - 4.4408920985006262E-16
%i,
+--R - 2.2204460492503131E-16,
+--R - 4.4408920985006262E-16 - 2.2204460492503131E-16 %i,
+--R 4.4408920985006262E-16, - 1.1102230246251565E-16,
+--R - 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
--R 1.1102230246251565E-16,
---R -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
+--R - 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
--R 2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
---R 1.1102230246251565E-16 + -2.2204460492503131E-16 %i, 0.,
---R -6.6613381477509392E-16 %i, -1.1102230246251565E-16,
---R -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,
---R 3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
---R -3.3306690738754696E-16,
---R -4.4408920985006262E-16 + -4.4408920985006262E-16 %i,
---R 3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
---R -5.5511151231257827E-16, -2.2204460492503131E-16,
-1.1102230246251565E-16,
---R 1.1102230246251565E-16, 0., -1.1102230246251565E-16,
---R -1.1102230246251565E-16]
+--R 1.1102230246251565E-16 - 2.2204460492503131E-16 %i, 0.,
+--R - 6.6613381477509392E-16 %i, - 1.1102230246251565E-16,
+--R - 4.4408920985006262E-16 - 4.4408920985006262E-16 %i,
+--R 3.3306690738754696E-16 - 2.2204460492503131E-16 %i,
+--R - 3.3306690738754696E-16,
+--R - 4.4408920985006262E-16 - 4.4408920985006262E-16 %i,
+--R 3.3306690738754696E-16 - 2.2204460492503131E-16 %i,
+--R - 5.5511151231257827E-16, - 2.2204460492503131E-16,
+--R - 1.1102230246251565E-16, 1.1102230246251565E-16, 0.,
+--R - 1.1102230246251565E-16, - 1.1102230246251565E-16]
--R Type: List Complex
DoubleFloat
--E 35
@@ -414,25 +413,24 @@ qtest(sa, sb, 2)
--R
--R
--R (39)
---R [-1.1102230246251565E-16,
---R -2.2204460492503131E-16 + -4.4408920985006262E-16 %i,
---R -3.3306690738754696E-16,
---R 4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
---R -4.4408920985006262E-16,
---R 1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
---R 3.3306690738754696E-16 + -2.2204460492503131E-16 %i,
---R -1.1102230246251565E-16,
---R 4.4408920985006262E-16 + -2.2204460492503131E-16 %i,
---R -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
---R 2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
---R -1.1102230246251565E-16 + -2.2204460492503131E-16 %i,
---R 2.2204460492503131E-16 + -2.2204460492503131E-16 %i, 0.,
---R 4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,
---R 3.3306690738754696E-16,
---R 4.4408920985006262E-16 + -4.4408920985006262E-16 %i, 0.,
---R 8.8817841970012523E-16, 2.2204460492503131E-16, 1.1102230246251565E-16,
---R 3.3306690738754696E-16, -1.1102230246251565E-16, 1.1102230246251565E-16,
---R 2.2204460492503131E-16 + -2.2204460492503131E-16 %i]
+--R [- 1.1102230246251565E-16,
+--R - 2.2204460492503131E-16 - 4.4408920985006262E-16 %i,
+--R - 3.3306690738754696E-16,
+--R 4.4408920985006262E-16 - 2.2204460492503131E-16 %i,
+--R - 4.4408920985006262E-16,
+--R 1.1102230246251565E-16 - 2.2204460492503131E-16 %i,
+--R 3.3306690738754696E-16 - 2.2204460492503131E-16 %i,
+--R - 1.1102230246251565E-16,
+--R 4.4408920985006262E-16 - 2.2204460492503131E-16 %i,
+--R - 2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
+--R 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
+--R - 1.1102230246251565E-16 - 2.2204460492503131E-16 %i,
+--R 2.2204460492503131E-16 - 2.2204460492503131E-16 %i, 0.,
+--R 4.4408920985006262E-16 - 4.4408920985006262E-16 %i, 0.,
+--R 3.3306690738754696E-16, 4.4408920985006262E-16 - 4.4408920985006262E-16
%i,
+--R 0., 8.8817841970012523E-16, 2.2204460492503131E-16,
1.1102230246251565E-16,
+--R 3.3306690738754696E-16, - 1.1102230246251565E-16,
1.1102230246251565E-16,
+--R 2.2204460492503131E-16 - 2.2204460492503131E-16 %i]
--R Type: List Complex
DoubleFloat
--E 39
@@ -472,20 +470,20 @@ qtest(sa, sb, 3)
--R
--R
--R (43)
---R [-1.1102230246251565E-16, 0.,
---R -2.2204460492503131E-16 + 4.4408920985006262E-16 %i,
---R -2.2204460492503131E-16, 1.1102230246251565E-16,
-4.4408920985006262E-16,
---R -1.1102230246251565E-16, -1.1102230246251565E-16,
+--R [- 1.1102230246251565E-16, 0.,
+--R - 2.2204460492503131E-16 + 4.4408920985006262E-16 %i,
+--R - 2.2204460492503131E-16, 1.1102230246251565E-16, -
4.4408920985006262E-16,
+--R - 1.1102230246251565E-16, - 1.1102230246251565E-16,
--R 4.4408920985006262E-16 + 2.2204460492503131E-16 %i,
---R -2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
+--R - 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
--R 2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
---R -1.1102230246251565E-16 + 2.2204460492503131E-16 %i,
+--R - 1.1102230246251565E-16 + 2.2204460492503131E-16 %i,
--R 2.2204460492503131E-16 + 2.2204460492503131E-16 %i, 0., 0.,
---R -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
+--R - 3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--R 2.2204460492503131E-16 %i, 0.,
---R -3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
+--R - 3.3306690738754696E-16 + 2.2204460492503131E-16 %i,
--R 8.8817841970012523E-16, 2.2204460492503131E-16, 1.1102230246251565E-16,
---R 3.3306690738754696E-16, -1.1102230246251565E-16, 1.1102230246251565E-16,
+--R 3.3306690738754696E-16, - 1.1102230246251565E-16,
1.1102230246251565E-16,
--R 2.2204460492503131E-16 + 2.2204460492503131E-16 %i]
--R Type: List Complex
DoubleFloat
--E 43
@@ -529,16 +527,16 @@ qtest(sa, sb, 4)
--R (47)
--R [1.1102230246251565E-16, 0.,
--R 3.3306690738754696E-16 + 4.4408920985006262E-16 %i,
2.2204460492503131E-16,
---R -1.1102230246251565E-16,
---R 2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
+--R - 1.1102230246251565E-16,
+--R 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
--R 2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
1.1102230246251565E-16,
---R -2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
---R 2.2204460492503131E-16 + -2.2204460492503131E-16 %i,
+--R - 2.2204460492503131E-16 + 2.2204460492503131E-16 %i,
+--R 2.2204460492503131E-16 - 2.2204460492503131E-16 %i,
--R 1.1102230246251565E-16 + 2.2204460492503131E-16 %i, 0.,
---R 6.6613381477509392E-16 %i, -1.1102230246251565E-16, 0., 0.,
---R 2.2204460492503131E-16 %i, 0., 0., -6.6613381477509392E-16,
---R -2.2204460492503131E-16, -1.1102230246251565E-16,
1.1102230246251565E-16,
---R 0., -1.1102230246251565E-16, -1.1102230246251565E-16]
+--R 6.6613381477509392E-16 %i, - 1.1102230246251565E-16, 0., 0.,
+--R 2.2204460492503131E-16 %i, 0., 0., - 6.6613381477509392E-16,
+--R - 2.2204460492503131E-16, - 1.1102230246251565E-16,
1.1102230246251565E-16,
+--R 0., - 1.1102230246251565E-16, - 1.1102230246251565E-16]
--R Type: List Complex
DoubleFloat
--E 47
diff --git a/src/input/grpthry.input.pamphlet b/src/input/grpthry.input.pamphlet
index b0296a4..e713c5c 100644
--- a/src/input/grpthry.input.pamphlet
+++ b/src/input/grpthry.input.pamphlet
@@ -1697,7 +1697,7 @@ ma := meatAxe r28.1
--R Type: List List Matrix PrimeField
2
--E 34
---S 35 of 68
+--S 35 of 68 random generation, FAILURE OK.
isAbsolutelyIrreducible? ma.1
--R
--R Random element in generated algebra does
diff --git a/src/input/ico.input.pamphlet b/src/input/ico.input.pamphlet
index 1643180..f096f56 100644
--- a/src/input/ico.input.pamphlet
+++ b/src/input/ico.input.pamphlet
@@ -344,7 +344,7 @@ p2:=point([real ca2,imag ca2,0.5])@Point(SF)
p3:=point([real ca3,imag ca3,0.5])@Point(SF)
--R
--R
---R (34) [-0.80901699437494745,0.58778525229247314,0.5]
+--R (34) [- 0.80901699437494745,0.58778525229247314,0.5]
--R Type: Point
DoubleFloat
--E 35
@@ -352,7 +352,7 @@ p3:=point([real ca3,imag ca3,0.5])@Point(SF)
p4:=point([real ca4,imag ca4,0.5])@Point(SF)
--R
--R
---R (35) [-0.80901699437494745,-0.58778525229247314,0.5]
+--R (35) [- 0.80901699437494745,- 0.58778525229247314,0.5]
--R Type: Point
DoubleFloat
--E 36
@@ -360,7 +360,7 @@ p4:=point([real ca4,imag ca4,0.5])@Point(SF)
p5:=point([real ca5,imag ca5,0.5])@Point(SF)
--R
--R
---R (36) [0.30901699437494745,-0.95105651629515353,0.5]
+--R (36) [0.30901699437494745,- 0.95105651629515353,0.5]
--R Type: Point
DoubleFloat
--E 37
@@ -368,7 +368,7 @@ p5:=point([real ca5,imag ca5,0.5])@Point(SF)
p6:=point([real cb1,imag cb1,-0.5])@Point(SF)
--R
--R
---R (37) [0.80901699437494745,0.58778525229247314,-0.5]
+--R (37) [0.80901699437494745,0.58778525229247314,- 0.5]
--R Type: Point
DoubleFloat
--E 38
@@ -376,7 +376,7 @@ p6:=point([real cb1,imag cb1,-0.5])@Point(SF)
p7:=point([real cb2,imag cb2,-0.5])@Point(SF)
--R
--R
---R (38) [-0.30901699437494745,0.95105651629515353,-0.5]
+--R (38) [- 0.30901699437494745,0.95105651629515353,- 0.5]
--R Type: Point
DoubleFloat
--E 39
@@ -384,7 +384,7 @@ p7:=point([real cb2,imag cb2,-0.5])@Point(SF)
p8:=point([real cb3,imag cb3,-0.5])@Point(SF)
--R
--R
---R (39) [-1.,0.,-0.5]
+--R (39) [- 1.,0.,- 0.5]
--R Type: Point
DoubleFloat
--E 40
@@ -392,7 +392,7 @@ p8:=point([real cb3,imag cb3,-0.5])@Point(SF)
p9:=point([real cb4,imag cb4,-0.5])@Point(SF)
--R
--R
---R (40) [-0.30901699437494745,-0.95105651629515353,-0.5]
+--R (40) [- 0.30901699437494745,- 0.95105651629515353,- 0.5]
--R Type: Point
DoubleFloat
--E 41
@@ -400,7 +400,7 @@ p9:=point([real cb4,imag cb4,-0.5])@Point(SF)
p10:=point([real cb5,imag cb5,-0.5])@Point(SF)
--R
--R
---R (41) [0.80901699437494745,-0.58778525229247314,-0.5]
+--R (41) [0.80901699437494745,- 0.58778525229247314,- 0.5]
--R Type: Point
DoubleFloat
--E 42
@@ -408,7 +408,7 @@ p10:=point([real cb5,imag cb5,-0.5])@Point(SF)
p11:=point([0,0,-u-1/2])@Point(SF)
--R
--R
---R (42) [0.,0.,-1.1180339887498949]
+--R (42) [0.,0.,- 1.1180339887498949]
--R Type: Point
DoubleFloat
--E 43
diff --git a/src/input/intg0.input.pamphlet b/src/input/intg0.input.pamphlet
index ea802ef..bc5a258 100644
--- a/src/input/intg0.input.pamphlet
+++ b/src/input/intg0.input.pamphlet
@@ -32,7 +32,7 @@ y := sqrt(a * x + b)
--E 1
--S 2 of 25
-integrate(%,x)
+integrate(y,x)
--R
--R
--R +-------+
@@ -43,7 +43,7 @@ integrate(%,x)
--E 2
--S 3 of 25
-x * y
+t1:=x * y
--R
--R
--R +-------+
@@ -52,7 +52,7 @@ x * y
--E 3
--S 4 of 25
-integrate(%,x)
+integrate(t1,x)
--R
--R
--R 2 2 2 +-------+
@@ -74,7 +74,7 @@ z := sqrt(a**2 - x**2)
--E 5
--S 6 of 25
-1 / z
+t2:=1 / z
--R
--R
--R 1
@@ -86,7 +86,7 @@ z := sqrt(a**2 - x**2)
--E 6
--S 7 of 25
-integrate(%,x)
+integrate(t2,x)
--R
--R
--R +---------+
@@ -98,7 +98,7 @@ integrate(%,x)
--E 7
--S 8 of 25
-x**2 * z
+t3:=x**2 * z
--R
--R
--R +---------+
@@ -108,7 +108,7 @@ x**2 * z
--E 8
--S 9 of 25
-integrate(%,x)
+integrate(t3,x)
--R
--R
--R (9)
@@ -133,7 +133,7 @@ integrate(%,x)
--E 9
--S 10 of 25
-x**3 / (a+b*x)**(1/3)
+t4:=x**3 / (a+b*x)**(1/3)
--R
--R
--R 3
@@ -145,7 +145,7 @@ x**3 / (a+b*x)**(1/3)
--E 10
--S 11 of 25
-integrate(%,x)
+integrate(t4,x)
--R
--R
--R 3 3 2 2 2 3 3+-------+2
@@ -157,7 +157,7 @@ integrate(%,x)
--E 11
--S 12 of 25
-1 / (x**3 * (a+b*x)**(1/3))
+t5:=1 / (x**3 * (a+b*x)**(1/3))
--R
--R
--R 1
@@ -168,7 +168,7 @@ integrate(%,x)
--E 12
--S 13 of 25
-integrate(%,x)
+integrate(t5,x)
--R
--R
--R (13)
@@ -192,7 +192,7 @@ integrate(%,x)
Examples of transcendentals over a curve of genus 0
<<*>>=
--S 14 of 25
-x / (y + y**2) + log(y + 1)
+t6:=x / (y + y**2) + log(y + 1)
--R
--R
--R +-------+ +-------+
@@ -204,7 +204,7 @@ x / (y + y**2) + log(y + 1)
--E 14
--S 15 of 25
-integrate(%,x)
+integrate(t6,x)
--R
--R
--R (15)
@@ -220,7 +220,7 @@ integrate(%,x)
--E 15
--S 16 of 25
-(2 + 1/sqrt(x)) * cos(x + sqrt x)
+t7:=(2 + 1/sqrt(x)) * cos(x + sqrt x)
--R
--R
--R +-+ +-+
@@ -232,7 +232,7 @@ integrate(%,x)
--E 16
--S 17 of 25
-integrate(%,x)
+integrate(t7,x)
--R
--R
--R +-+
@@ -244,7 +244,7 @@ integrate(%,x)
One which does not have an elementary integral
<<*>>=
--S 18 of 25
-log(1 + y) / x
+t8:=log(1 + y) / x
--R
--R
--R +-------+
@@ -255,13 +255,13 @@ log(1 + y) / x
--E 18
--S 19 of 25
-integrate(%,x)
+integrate(t8,x)
--R
--R
--R x +--------+
---R ++ log(\|b + %K a + 1)
---R (19) | -------------------- d%K
---R ++ %K
+--I ++ log(\|b + %K a + 1)
+--I (19) | -------------------- d%K
+--I ++ %K
--R Type: Union(Expression
Integer,...)
--E 19
@@ -269,7 +269,7 @@ integrate(%,x)
Integrals of hyperbolic trigs are returned in terms of hyperb. trigs.
<<*>>=
--S 20 of 25
-(sinh(1+sqrt(x+b))+2*sqrt(x+b))/(sqrt(x+b)*(x+cosh(1+sqrt(x+b))))
+t9:=(sinh(1+sqrt(x+b))+2*sqrt(x+b))/(sqrt(x+b)*(x+cosh(1+sqrt(x+b))))
--R
--R
--R +-----+ +-----+
@@ -281,7 +281,7 @@ Integrals of hyperbolic trigs are returned in terms of
hyperb. trigs.
--E 20
--S 21 of 25
-integrate(%,x)
+integrate(t9,x)
--R
--R
--R +-----+
@@ -296,7 +296,7 @@ integrate(%,x)
Examples of genus 0 functions presented as transcendentals
<<*>>=
--S 22 of 25
-tan(atan(x)/2)
+t10:=tan(atan(x)/2)
--R
--R
--R atan(x)
@@ -306,7 +306,7 @@ tan(atan(x)/2)
--E 22
--S 23 of 25
-integrate(%,x)
+integrate(t10,x)
--R
--R
--R (23)
@@ -328,7 +328,7 @@ integrate(%,x)
--E 23
--S 24 of 25
-tan(atan(x)/3)
+t11:=tan(atan(x)/3)
--R
--R
--R atan(x)
@@ -338,7 +338,7 @@ tan(atan(x)/3)
--E 24
--S 25 of 25
-integrate(%,x)
+integrate(t11,x)
--R
--R
--R atan(x) 2 atan(x) 2 atan(x)
diff --git a/src/input/is.input.pamphlet b/src/input/is.input.pamphlet
index 8ee12d6..7dd1ade 100644
--- a/src/input/is.input.pamphlet
+++ b/src/input/is.input.pamphlet
@@ -37,32 +37,37 @@ but we code using the pattern matching syntax:
The 'integer' is to return an integer instead of a polynomial
\end{verbatim}
<<*>>=
---S 1 of 4
+--S 1 of 5
+f: INT -> INT
+--R Type:
Void
+--E 1
+
+--S 2 of 5
f n ==
not empty?(u := Is(n, 2*m%)) => integer eval(m%, u)
3 * n + 1
--R
--R Type:
Void
---E 1
+--E 2
)set stream showall on
@
The function g generates the stream of the repeated applications of f
<<*>>=
---S 2 of 4
+--S 3 of 5
g(n:INT):STREAM(INT) == generate(f, n)
--R
--R Function declaration g : Integer -> Stream Integer has been added to
--R workspace.
--R Type:
Void
---E 2
+--E 3
@
There is a conjecture that g(n) gets into the cycle (1 4 2)
for every n
<<*>>=
---S 3 of 4
+--S 4 of 5
s := g 27
--R
--R Compiling function f with type Integer -> Integer
@@ -70,9 +75,9 @@ s := g 27
--R
--R (3) [27,82,41,124,62,31,94,47,142,71,...]
--R Type: Stream
Integer
---E 3
+--E 4
---S 4 of 4
+--S 5 of 5
extend(s, 150)
--R
--R
@@ -88,7 +93,7 @@ extend(s, 150)
--R 10, 5, 16, 8, 4, 2, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16,
8, 4,
--R 2, 7, 22, 11, 34, 17, 52, 26, ...]
--R Type: Stream
Integer
---E 4
+--E 5
)spool
)lisp (bye)
diff --git a/src/input/kamke3.input.pamphlet b/src/input/kamke3.input.pamphlet
index 2d9ac94..fc280ab 100644
--- a/src/input/kamke3.input.pamphlet
+++ b/src/input/kamke3.input.pamphlet
@@ -1249,7 +1249,7 @@ ode180 := (a*x**2+b*x+c)*(x*D(y(x),x)-y(x)) - y(x)**2 +
x**2
--R Type: Expression
Integer
--E 84
---S 85 of 139
+--S 85 of 139 random generation, FAILURE OK.
yx:=solve(ode180,y,x)
--R
--R WARNING (genufact): No known algorithm to factor
diff --git a/src/input/mapleok.input.pamphlet b/src/input/mapleok.input.pamphlet
index c468cb3..1fb777d 100644
--- a/src/input/mapleok.input.pamphlet
+++ b/src/input/mapleok.input.pamphlet
@@ -662,50 +662,50 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
+-+
---R ((24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0 -
48\|2 )
+--I ((24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0 -
48\|2 )
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R 2 2
---R (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
+--I (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
--R +
--R 2
---R - 6144%%BC0 + 384%%BC0 + 48
+--I - 6144%%BC0 + 384%%BC0 + 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
--R +
--R +-+
--R 60\|2
@@ -717,55 +717,55 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
---R ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
+--I ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BC0 - 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
+--I (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
--R +
--R +-+ +-+
---R 192\|2 %%BC0 + 24\|2
+--I 192\|2 %%BC0 + 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
--R +
--R +-+ +-+
---R 48\|2 %%BC0 + 42\|2
+--I 48\|2 %%BC0 + 42\|2
--R /
--R +-+
--R \|2
@@ -774,56 +774,56 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---R (24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0
+--I (24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0
--R +
--R +-+
--R - 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R 2
---R (- 196608%%BC0 + 6144)%%BC1
+--I (- 196608%%BC0 + 6144)%%BC1
--R +
--R 2 2
---R (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
+--I (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
--R +
--R +-+ +-+
---R 48\|2 %%BC0 + 60\|2
+--I 48\|2 %%BC0 + 60\|2
--R /
--R +-+
--R \|2
@@ -831,52 +831,52 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
---R ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
+--I ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
+--I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
--R +
--R +-+ +-+
---R - 192\|2 %%BC0 - 24\|2
+--I - 192\|2 %%BC0 - 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
--R +
--R +-+
--R 42\|2
@@ -888,55 +888,55 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
---R ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
+--I ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BC0 - 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
+--I (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
--R +
--R +-+ +-+
---R 192\|2 %%BC0 + 24\|2
+--I 192\|2 %%BC0 + 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
--R +
--R +-+ +-+
---R 48\|2 %%BC0 + 42\|2
+--I 48\|2 %%BC0 + 42\|2
--R /
--R +-+
--R \|2
@@ -944,53 +944,53 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---R (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
+--I (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
--R +
--R +-+
--R 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R 2 2
---R (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
+--I (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
--R +
--R 2
---R - 6144%%BC0 + 384%%BC0 + 48
+--I - 6144%%BC0 + 384%%BC0 + 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
--R +
--R +-+
--R 60\|2
@@ -1001,52 +1001,52 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z=
0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
---R ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
+--I ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
+--I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
--R +
--R +-+ +-+
---R - 192\|2 %%BC0 - 24\|2
+--I - 192\|2 %%BC0 - 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
--R +
--R +-+
--R 42\|2
@@ -1058,189 +1058,189 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z=
0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
--R +
--R +-+
---R - 4\|2 %%BC0
+--I - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---R (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
+--I (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
--R +
--R +-+
--R 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R 2
---R (- 196608%%BC0 + 6144)%%BC1
+--I (- 196608%%BC0 + 6144)%%BC1
--R +
--R 2 2
---R (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
+--I (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+
---R - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BC1 - 4\|2 %%BC0
--R /
--R +-+
--R 2\|2
--R +
---R ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---R \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
--R +
--R +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 2
---R (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
--R +
--R +-+ +-+
---R 48\|2 %%BC0 + 60\|2
+--I 48\|2 %%BC0 + 60\|2
--R /
--R +-+
--R \|2
--R +
--R -
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R *
--R log
--R +-+ +-+ 2
---R (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BC0 - 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 3
---R (98304\|2 %%BC0 + 192\|2 )%%BC1 + 98304\|2 %%BC0
+--I (98304\|2 %%BC0 + 192\|2 )%%BC1 + 98304\|2 %%BC0
--R +
--R +-+ +-+
---R 768\|2 %%BC0 - 36\|2
+--I 768\|2 %%BC0 - 36\|2
--R *
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R +
--R 2 2
---R (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
+--I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
--R +
--R 3
---R 12288%%BC0 + 96%%BC0 + 18
+--I 12288%%BC0 + 96%%BC0 + 18
--R +
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R *
--R log
--R 2 2
---R (98304%%BC0 - 3072)%%BC1 + (98304%%BC0 + 192)%%BC1
+--I (98304%%BC0 - 3072)%%BC1 + (98304%%BC0 + 192)%%BC1
--R +
--R 3
---R 98304%%BC0 + 768%%BC0 - 36
+--I 98304%%BC0 + 768%%BC0 - 36
--R *
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R +
--R 2 2
3
---R (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
+--I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
--R +
---R 96%%BC0 + 9
+--I 96%%BC0 + 9
--R +
--R -
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R *
--R log
--R 2 2
---R (- 98304%%BC0 + 3072)%%BC1 + (- 98304%%BC0 -
192)%%BC1
+--I (- 98304%%BC0 + 3072)%%BC1 + (- 98304%%BC0 -
192)%%BC1
--R +
--R 3
---R - 98304%%BC0 - 768%%BC0 + 36
+--I - 98304%%BC0 - 768%%BC0 + 36
--R *
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R +
--R 2 2
---R (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
+--I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
--R +
--R 3
---R 12288%%BC0 + 96%%BC0 + 9
+--I 12288%%BC0 + 96%%BC0 + 9
--R +
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R *
--R log
--R +-+ +-+ 2
---R (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
--R +
--R +-+ 2 +-+ +-+ 3
---R (- 98304\|2 %%BC0 - 192\|2 )%%BC1 - 98304\|2 %%BC0
+--I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 - 98304\|2 %%BC0
--R +
--R +-+ +-+
---R - 768\|2 %%BC0 + 36\|2
+--I - 768\|2 %%BC0 + 36\|2
--R *
--R +------+
---R \|4%%BC1
+--I \|4%%BC1
--R +
--R 2 2
3
---R (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
+--I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
--R +
---R 96%%BC0 + 18
+--I 96%%BC0 + 18
--R +
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R *
--R log
--R +-+ 3 +-+ 2 +-+ +-+
---R (98304\|2 %%BC0 + 3072\|2 %%BC0 + 576\|2 %%BC0 - 60\|2 )
+--I (98304\|2 %%BC0 + 3072\|2 %%BC0 + 576\|2 %%BC0 - 60\|2 )
--R *
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R +
--R 3 2
---R - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
+--I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
--R +
--R -
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R *
--R log
--R 3 2 +------+
---R (98304%%BC0 + 3072%%BC0 + 576%%BC0 - 60)\|4%%BC0
+--I (98304%%BC0 + 3072%%BC0 + 576%%BC0 - 60)\|4%%BC0
--R +
--R 3 2
---R - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
+--I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
--R +
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R *
--R log
--R 3 2 +------+
---R (- 98304%%BC0 - 3072%%BC0 - 576%%BC0 + 60)\|4%%BC0
+--I (- 98304%%BC0 - 3072%%BC0 - 576%%BC0 + 60)\|4%%BC0
--R +
--R 3 2
---R - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
+--I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
--R +
--R -
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R *
--R log
--R +-+ 3 +-+ 2 +-+
+-+
---R (- 98304\|2 %%BC0 - 3072\|2 %%BC0 - 576\|2 %%BC0 +
60\|2 )
+--I (- 98304\|2 %%BC0 - 3072\|2 %%BC0 - 576\|2 %%BC0 +
60\|2 )
--R *
--R +------+
---R \|4%%BC0
+--I \|4%%BC0
--R +
--R 3 2
---R - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
+--I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
@@ -2116,7 +2116,7 @@ in13:=integrate(cos(z)^2*sin(z)^n, z)
--R
--R z
--R ++ 2 n
---R (48) | cos(%K) sin(%K) d%K
+--I (48) | cos(%K) sin(%K) d%K
--R ++
--R Type: Union(Expression
Integer,...)
--E 49
@@ -2818,8 +2818,8 @@ in160:=integrate((-z^2-z)^sin(z), z)
--R
--R
--R z
---R ++ 2 sin(%K)
---R (79) | (- %K - %K) d%K
+--I ++ 2 sin(%K)
+--I (79) | (- %K - %K) d%K
--R ++
--R Type: Union(Expression
Integer,...)
--E 80
@@ -3006,10 +3006,10 @@ in161:=integrate((-z^2)^(1/3), z)
in163:=integrate(log(z)*abs(exp(z)/z), z)
--R
--R
---R z %K
+--I z %K
--R ++ %e
---R (98) | log(%K)abs(----)d%K
---R ++ %K
+--I (98) | log(%K)abs(----)d%K
+--I ++ %K
--R Type: Union(Expression
Integer,...)
--E 100
@@ -3018,8 +3018,8 @@ in166:=integrate((1+z)^z, z)
--R
--R
--R z
---R ++ %K
---R (99) | (%K + 1) d%K
+--I ++ %K
+--I (99) | (%K + 1) d%K
--R ++
--R Type: Union(Expression
Integer,...)
--E 101
diff --git a/src/input/mathml.input.pamphlet b/src/input/mathml.input.pamphlet
index 461f32c..0cbcf7b 100644
--- a/src/input/mathml.input.pamphlet
+++ b/src/input/mathml.input.pamphlet
@@ -209,15 +209,17 @@ y:=operator 'y
--S 14 of 21
D(y(x,z),[x,x,z,x])
+--R
--R
--R (14) y (x,z)
--R ,1,1,2,1
--R<math xmlns="http://www.w3.org/1998/Math/MathML"; mathsize="big"
display="block">
---R<mfrac><mrow><msup><mo>∂</mo><mn>4</mn></msup><mi>y</mi></mrow><mrow><mo>∂</mo><msup><mi>x</mi><mn>3</mn></msup><mo>∂</mo><mi>z</mi></mrow></mfrac><mo>(</mo><mi>x</mi><mo>,</mo><mi>z</mi><mo>)</mo>
+--R<msub><mi>y</mi><mrow><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msub><mo>(</mo><mi><mi>x</mi></mi><mo>,</mo><mi><mi>z</mi></mi><mo>)</mo>
--R</math>
--R
--R Type: Expression
Integer
--E 14
+
)clear all
--S 15 of 21
@@ -234,12 +236,13 @@ y:=operator 'y
--S 16 of 21
D(y x,x,2)
+--R
--R
--R ,,
--R (2) y (x)
--R
--R<math xmlns="http://www.w3.org/1998/Math/MathML"; mathsize="big"
display="block">
---R<mfrac><mrow><msup><mo>ⅆ</mo><mn>2</mn></msup><mi>y</mi></mrow><mrow><mo>ⅆ</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac><mo>⁡</mo><mo>(</mo><mi>x</mi><mo>)</mo>
+--R<msup><mi>y</mi><mrow><mo>′</mo><mo>′</mo></mrow></msup><mo>⁡</mo><mo>(</mo><mi>x</mi><mo>)</mo>
--R</math>
--R
--R Type: Expression
Integer
diff --git a/src/input/ndftip.input.pamphlet b/src/input/ndftip.input.pamphlet
index 7b838a5..bbed72e 100644
--- a/src/input/ndftip.input.pamphlet
+++ b/src/input/ndftip.input.pamphlet
@@ -298,6 +298,7 @@ hdftA := nagHermitianDFT seqA;
--R Cannot convert from type Polynomial Integer to Vector Complex Float
--R for value
--R hdftA
+--R
--E 19
-- + 2.48361 +
-- | |
@@ -361,6 +362,7 @@ dftC :: Vector Float
--RDaly Bug
--R Cannot convert from type Variable dftC to Vector Float for value
--R dftC
+--R
--E 22
-- [1.82616,1.86862,- 0.017503,0.502001,- 0.598725,- 0.0314404,- 2.62557]
@@ -824,7 +826,7 @@ nagDFT badSeqs
--RDaly Bug
--R Cannot find a definition or applicable library operation named
--R nagDFT with argument type(s)
---R List Symbol
+--R Variable badSeqs
--R
--R Perhaps you should use "@" to indicate the required return type,
--R or "$" to specify which version of the function you need.
diff --git a/src/input/pmint.input.pamphlet b/src/input/pmint.input.pamphlet
index 280ab6e..ede0da7 100644
--- a/src/input/pmint.input.pamphlet
+++ b/src/input/pmint.input.pamphlet
@@ -22,7 +22,7 @@
@
\section{Rational Functions}
<<*>>=
---S 1 of 28
+--S 1 of 29
f:=(x^7-24*x^4-4*x^2+8*x-8)/(x^8+6*x^6+12*x^4+8*x^2)
--R
--R
@@ -34,7 +34,7 @@ f:=(x^7-24*x^4-4*x^2+8*x-8)/(x^8+6*x^6+12*x^4+8*x^2)
--R Type: Fraction Polynomial
Integer
--E 1
---S 2 of 28
+--S 2 of 29
g:=integrate(f,x)
--R
--R
@@ -46,7 +46,7 @@ g:=integrate(f,x)
--R Type: Union(Expression
Integer,...)
--E 2
---S 3 of 28
+--S 3 of 29
differentiate(g,x)
--R
--R
@@ -63,7 +63,7 @@ differentiate(g,x)
@
\section{Trigonometric Functions}
<<*>>=
---S 4 of 28
+--S 4 of 29
f:=(x-tan(x))/tan(x)^2 + tan(x)
--R
--R
@@ -75,7 +75,7 @@ f:=(x-tan(x))/tan(x)^2 + tan(x)
--R Type: Expression
Integer
--E 4
---S 5 of 28
+--S 5 of 29
g:=integrate(f,x)
--R
--R
@@ -86,7 +86,7 @@ g:=integrate(f,x)
--R Type: Union(Expression
Integer,...)
--E 5
---S 6 of 28
+--S 6 of 29
differentiate(g,x)
--R
--R
@@ -102,8 +102,8 @@ differentiate(g,x)
@
\section{Log-Exp Functions}
-
---S 7 of 28
+<<*>>=
+--S 7 of 29
f:=(1+x+x*exp(x))*(x+log(x)+exp(x)-1)/(x+log(x)+exp(x))^2/x
--R
--R
@@ -115,7 +115,7 @@ f:=(1+x+x*exp(x))*(x+log(x)+exp(x)-1)/(x+log(x)+exp(x))^2/x
--R Type: Expression
Integer
--E 7
---S 8 of 28
+--S 8 of 29
g:=integrate(f,x)
--R
--R
@@ -127,7 +127,7 @@ g:=integrate(f,x)
--R Type: Union(Expression
Integer,...)
--E 8
---S 9 of 28
+--S 9 of 29
differentiate(g,x)
--R
--R
@@ -144,7 +144,7 @@ differentiate(g,x)
@
\section{Liouvillian special functions}
<<*>>=
---S 10 of 28
+--S 10 of 29
f:=exp(-x^2)+erf(x)/(erf(x)^3-erf(x)^2-erf(x)+1)
--R
--R
@@ -157,82 +157,154 @@ f:=exp(-x^2)+erf(x)/(erf(x)^3-erf(x)^2-erf(x)+1)
--R Type: Expression
Integer
--E 10
---S 11 of 28
+--S 11 of 29
+g:=integrate(f,x)
+--R
+--R 2
+--I x 3 2 - %G
+--I ++ (erf(%G) - erf(%G) - erf(%G) + 1)%e + erf(%G)
+--I (2) | ---------------------------------------------------- d%G
+--R ++ 3 2
+--I erf(%G) - erf(%G) - erf(%G) + 1
+--R Type: Union(Expression
Integer,...)
+--E 11
+
+--S 12 of 29
+differentiate(g,x)
+--R
+--R 2
+--R 3 2 - x
+--R (erf(x) - erf(x) - erf(x) + 1)%e + erf(x)
+--R (3) -----------------------------------------------
+--R 3 2
+--R erf(x) - erf(x) - erf(x) + 1
+--R Type: Expression
Integer
+--E 12
+
+)clear all
+
+--S 13 of 29
f:=(exp(-x^2)+erf(x))/(erf(x)^3-erf(x)^2-erf(x)+1)
--R
--R
--R 2
--R - x
--R %e + erf(x)
---R (2) ------------------------------
+--R (1) ------------------------------
--R 3 2
--R erf(x) - erf(x) - erf(x) + 1
--R Type: Expression
Integer
---E 11
+--E 13
---S 12 of 28 used to work!
-integrate(f,x)
+--S 14 of 29 used to work!
+g:=integrate(f,x)
--R
--R
--R 2
---R x - %G
---R ++ %e + erf(%G)
---R (3) | --------------------------------- d%G
+--I x - %G
+--I ++ %e + erf(%G)
+--I (3) | --------------------------------- d%G
--R ++ 3 2
---R erf(%G) - erf(%G) - erf(%G) + 1
+--I erf(%G) - erf(%G) - erf(%G) + 1
--R Type: Union(Expression
Integer,...)
---E 12
+--E 14
-- should be:
-- 1 sqrt(%pi) 1 1
-- - - ------------ - - sqrt(%pi) log(erf(x)+1) + - sqrt(%pi) log(erf(x)-1)
-- 4 erf(x) - 1 8 8
+--S 15 of 29
+differentiate(g,x)
+--R
+--R 2
+--R - x
+--R %e + erf(x)
+--R (3) ------------------------------
+--R 3 2
+--R erf(x) - erf(x) - erf(x) + 1
+--R Type: Expression
Integer
+--E 15
+
)clear all
@
\section{Airy Functions}
<<*>>=
-- Axiom does not have a 2 argument form of the airyAi function
---S 13 of 28 will certainly fail
-f:=(x-airyAi(x)*airyAi(1,x))/(x^2-airyAi(x)^2)
---R
---E 13
-
---S 14 of 28 will certainly fail
-integrate(f,x)
+-- f:=(x-airyAi(x)*airyAi(1,x))/(x^2-airyAi(x)^2)
+--it has the integral
--R
--R 1 1
--R - log(x+airyAi(x)) + - log(x-airyAi(x))
--R 2 2
---E 14
---S 15 of 28
+
+--S 16 of 29 will certainly fail
+f:=(x-airyAi(x))/(x^2-airyAi(x)^2)
+--R
+--R 1
+--R (1) -------------
+--R airyAi(x) + x
+--R Type: Expression
Integer
+--E 16
+
+--S 17 of 29 will certainly fail
+g:=integrate(f,x)
+--R
+--R x
+--R ++ 1
+--R (2) | --------------- d%G
+--R ++ airyAi(%G) + %G
+--R Type: Union(Expression
Integer,...)
+--E 17
+
+--S 18 of 29
+differentiate(g,x)
+--R
+--R 1
+--R (3) -------------
+--R airyAi(x) + x
+--R Type: Expression
Integer
+--E 18
+
+)clear all
+
+--S 19 of 29
f:=x^2*airyAi(x)
--R
--R
--R 2
--R (1) x airyAi(x)
--R Type: Expression
Integer
---E 15
+--E 19
---S 16 of 28 used to work
+--S 20 of 29 used to work
g:=integrate(f,x)
--R
--R
--R x
--R ++ 2
---R (2) | %G airyAi(%G)d%G
+--I (2) | %G airyAi(%G)d%G
--R ++
--R Type: Union(Expression
Integer,...)
---E 16
+--E 20
-- should be:
-- -airyAi(x) + airyAi(1,x) x
+--S 21 of 29
+differentiate(g,x)
+--R
+--R 2
+--R (3) x airyAi(x)
+--R Type: Expression
Integer
+--E 21
+
)clear all
@
\section{Bessel functions}
---S 17 of 28
+<<*>>=
+--S 22 of 29
f:=besselJ(y+1,x)/besselJ(y,x)
--R
--R
@@ -240,49 +312,96 @@ f:=besselJ(y+1,x)/besselJ(y,x)
--R (1) ----------------
--R besselJ(y,x)
--R Type: Expression
Integer
---E 17
+--E 22
---S 18 of 28 used to work
+--S 23 of 29 used to work
g:=integrate(f,x)
--R
--R
--R x
---R ++ besselJ(y + 1,%G)
---R (2) | ----------------- d%G
---R ++ besselJ(y,%G)
+--I ++ besselJ(y + 1,%G)
+--I (2) | ----------------- d%G
+--I ++ besselJ(y,%G)
--R Type: Union(Expression
Integer,...)
---E 18
+--E 23
-- should be:
-- y log(x) - log(besselJ(y,x))
+--S 24 of 29
+differentiate(g,x)
+--R
+--R besselJ(y + 1,x)
+--R (3) ----------------
+--R besselJ(y,x)
+--R Type: Expression
Integer
+--E 24
+
+)clear all
+
+
-- Axiom does not have Maple's normal function
---S 19 of 28 used to work
-f:=normal(y*besselJ(y,x)/x = besselJ(y+1,x))
+--S 25 of 29 used to work
+--f:=normal(y*besselJ(y,x)/x - besselJ(y+1,x))
+f:=y*besselJ(y,x)/x - besselJ(y+1,x)
--R
---E 19
--- should be:
--- besselJ(y+1,x) x - y besselJ(y,x)
--- - ---------------------------------
--- x
+--R - x besselJ(y + 1,x) + y besselJ(y,x)
+--R (1) -------------------------------------
+--R x
+--R Type: Expression
Integer
+--E 25
+
+--S 26 of 29
+g:=integrate(f,x)
+--R
+--R x
+--I ++ - %G besselJ(y + 1,%G) + y besselJ(y,%G)
+--I (2) | ---------------------------------------- d%G
+--I ++ %G
+--R Type: Union(Expression
Integer,...)
+--E 26
+--S 27 of 29
+differentiate(g,x)
+--R
+--R - x besselJ(y + 1,x) + y besselJ(y,x)
+--R (3) -------------------------------------
+--R x
+--R Type: Expression
Integer
+--E 27
)clear all
@
\section{Whittaker functions}
---S 20 of 28 used to work
+<<*>>=
+--S 28 of 29 used to work
f:=WhittakerW(u+1,n,x)/(WhittakerW(u,n,x)*x)
---R
---E 20
+--R
+--R There are no library operations named WhittakerW
+--R Use HyperDoc Browse or issue
+--R )what op WhittakerW
+--R to learn if there is any operation containing " WhittakerW " in
+--R its name.
+--R
+--RDaly Bug
+--R Cannot find a definition or applicable library operation named
+--R WhittakerW with argument type(s)
+--R Polynomial Integer
+--R Variable n
+--R Variable x
+--R
+--R Perhaps you should use "@" to indicate the required return type,
+--R or "$" to specify which version of the function you need.
+--E 28
+
-- Axiom does not implement WhittakerW
-- should be:
-- Whittaker(u+1,n,x)
-- ------------------
-- Whittaker(u,n,x) x
---S 21 of 28 used to work
-integrate(f,x)
---R
---E 21
+-- of 29 used to work
+--integrate(f,x)
+-- 22
-- should be:
-- x
-- - - u log(x) - log(WhattakerW(u,n,x))
@@ -294,25 +413,36 @@ integrate(f,x)
\section{The Lambert W function}
<<*>>=
-- Axiom does not implement LambertW
---S 22 of 28 used to work
+--S 29 of 29 used to work
f:=LambertW(x)
---R
---E 22
-
---S 23 of 28 used to work
-g:=integrate(f,x)
---R
---E 23
+--R
+--R There are no library operations named LambertW
+--R Use HyperDoc Browse or issue
+--R )what op LambertW
+--R to learn if there is any operation containing " LambertW " in its
+--R name.
+--R
+--RDaly Bug
+--R Cannot find a definition or applicable library operation named
+--R LambertW with argument type(s)
+--R Variable x
+--R
+--R Perhaps you should use "@" to indicate the required return type,
+--R or "$" to specify which version of the function you need.
+--E 29
+
+-- of 29 used to work
+-- g:=integrate(f,x)
+-- 24
-- should be:
-- 2 2 2 2
-- x + LambertW(x) x - LambertW(x) x
-- ------------------------------------
-- x LambertW(x)
---S 24 of 28 used to work
-integrate(sin(LambertW(x)),x)
---R
---E 24
+-- of 29 used to work
+-- integrate(sin(LambertW(x)),x)
+-- 25
--should be:
-- +- -+
-- | 2 |
@@ -343,10 +473,9 @@ integrate(sin(LambertW(x)),x)
-- | +- -+ |
-- +- -+
---S 25 of 28 used to work
-f:=((x^2+2)*LambertW(x^2)^2+x^2*(2*LambertW(x^2)+1))/(x*(1+LambertW(x^2)^3))
---R
---E 25
+-- of 29 used to work
+--f:=((x^2+2)*LambertW(x^2)^2+x^2*(2*LambertW(x^2)+1))/(x*(1+LambertW(x^2)^3))
+-- 26
--should be:
-- 2
-- 2 2 2 2
@@ -356,10 +485,9 @@
f:=((x^2+2)*LambertW(x^2)^2+x^2*(2*LambertW(x^2)+1))/(x*(1+LambertW(x^2)^3))
-- 2
-- x (1 + LambertW(x ))
---S 26 of 28 used to work
-integrate(f,x)
---R
---E 26
+-- of 29 used to work
+--integrate(f,x)
+-- 27
--should be:
-- 2 4
--1 4 2 4 2 x 2 2 2 2
@@ -374,10 +502,10 @@ integrate(f,x)
-- 2
-- log(1 + LambertW(x ))
---S 27 of 28 used to work
-f:=(2*LambertW(x^2)*cos(LambertW(x^2))*(a*x+LambertW(x^2))+a*x*(1+LambertW(x^2))
+ 2*LambertW(x^2))/((1+LambertW(x^2))*(a*x+LambertW(x^2))*x)
---R
---E 27
+-- of 29 used to work
+--f:=(2*LambertW(x^2)*cos(LambertW(x^2))*(a*x+LambertW(x^2))+a*x*(1+LambertW(x^2))
+ 2*LambertW(x^2))/((1+LambertW(x^2))*(a*x+LambertW(x^2))*x)
+--
+-- 28
--+- -+
--| |
--| 2 2 2 |
@@ -392,10 +520,10 @@
f:=(2*LambertW(x^2)*cos(LambertW(x^2))*(a*x+LambertW(x^2))+a*x*(1+LambertW(x^2))
-- (1 + LambertW(x ))(a x+LambertW(x )) x
--
---S 28 of 28 used to work
+-- 29 of 29 used to work
integrate(f,x)
---R
---E 28
+--
+-- 29
--
-- +- -+
-- | 1 2 |
diff --git a/src/input/r20bugs.input.pamphlet b/src/input/r20bugs.input.pamphlet
index b28c18b..d91d6ff 100644
--- a/src/input/r20bugs.input.pamphlet
+++ b/src/input/r20bugs.input.pamphlet
@@ -196,7 +196,8 @@ positiveRemainder(-1::SINT,-5::SINT)
complexRoots([u**2-v+1,v**2-4],[u,v],0.01)
--R
--R
---R (1) [[1.732421875 %i,- 2.0],[- 1.732421875 %i,- 2.0],[-
1.0,2.0],[1.0,2.0]]
+--R (1)
+--R [[1.732421875 %i,- 2.0],[- 1.732421875 %i,- 2.0],[- 1.0,2.0],[1.0,2.0]]
--R Type: List List Complex
Float
--E 17
diff --git a/src/input/summation.input.pamphlet
b/src/input/summation.input.pamphlet
index 78b7aa7..a1e2c42 100644
--- a/src/input/summation.input.pamphlet
+++ b/src/input/summation.input.pamphlet
@@ -16,6 +16,7 @@ This is bug 7057: summation is ambiguous.
<<*>>=
)spool summation.output
)set message test on
+)set output mathml on
)set message auto off
)clear all
diff --git a/src/scripts/tex/axiom.sty b/src/scripts/tex/axiom.sty
index fdd8e27..3581b97 100755
--- a/src/scripts/tex/axiom.sty
+++ b/src/scripts/tex/axiom.sty
@@ -943,6 +943,8 @@ I'll try to avoid such incompatible changes in the future.}%
% We use providecommand so it doesn't clash with amsmath package
\providecommand{\eth}[1]{{#1}-th}
+% add the binom function for combfunc
+\providecommand{\binom}[2]{\left(\begin{array}{c}#1\\#2\end{array}\right)}
% spadcommands are the actual text that you type at the axiom prompt
\providecommand{\spadcommand}[1]%
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- [Axiom-developer] 20080106.01.tpd.patch,
daly <=