move pexpect-maxima code to maxima_lib

[rwst]

This metaticket tracks efforts to remove the usage of pexpect for calling maxima, either by using maxima_lib or replacing it altogether. Code that is dependent on the maxima expect interface is in:

• '' doc/ and other places using maxima.eval() (see speed up Maxima computations by using more of maxima_calculus.eval() #30071)
• calculus/desolvers.py: desolve_*()
• functions/piecewise.py: piecewise.convolution()
• matrix/matrix1.pyx: Matrix._maxima_init_()
• matrix/matrix_symbolic_dense.pyx: Matrix_symbolic_dense.exp()
• structure/sage_object.pyx: SageObject._maxima_(), _maxima_init_()
• symbolic/assumptions.py: GenericDeclaration.assume()
• symbolic/expression.pyx: Ex.assume(), forget(), assume_str(), assert(), expand_trig(), reduce_trig(), maxima_methods(), rectform(), simplify(), simplify_real(), simplify_rational() (Extend normalize() and use it instead of Maxima in simplify_rational() #21335), simplify_log(), expand_log(), factor() (Replace Maxima with Pynac/Singular in Expression.factor() #23835), solve(), sum()
• symbolic/maxima_wrapper.py: *
• calculus/calculus.py: symbolic_expression_from_maxima_string() called by factor() (Replace Maxima with Pynac/Singular in Expression.factor() #23835) and indirectly by solve()

Already done:

• Expression.coefficients() and poly(): (both rewrite buggy Expression.coefficients() without Maxima #20455)
• functions/orthogonal_polys.py (Replace all pexpect-maxima calls in function/orthogonal-polys #22325): hermite() (ECL crash with Hermite polynomials #20297), jacobi_P() (Jacobi P polynomials without pexpect-maxima #22326), laguerre() (symbolic Laguerre / associated Laguerre polynomials #17151), legendre_P/Q() (symbolic Legendre / associated Legendre functions / polynomials #16813), ultraspherical() (crash with ultraspherical polynomials #20428)
• functions/special.py: SphericalHarmonic._eval_() (Fix crash and remove pexpect-Maxima usage in Y(m,n) #20939)
• combinat/combinat.py: euler_number() (see Euler numbers revamp #17770 and Euler numbers via flint #20763)
• geometry/lattice_polytope.py: positive_integer_relations() avoid using maxima simplex algo in lattice_polytope #20766

This can be considered part of the metaticket #16688. See also http://trac.sagemath.org/wiki/symbolics/maxima

Component: interfaces

Issue created by migration from https://trac.sagemath.org/ticket/17753

[rwst]

Description changed:

--- 
+++ 
@@ -3,7 +3,7 @@
 * *`calculus/desolvers.py`*: `desolve_*()`
 * *`combinat/combinat.py`*: `euler_number()`
 * *`geometry/lattice_polytope.py`*: `positive_integer_relations()`
-* *`functions/orthogonal_polys.py`*: `hermite()`, `jacobi_P()`, `laguerre()` (obsolete with #16813), `legendre_P/Q()` (obsolete with #17151), ultraspherical()
+* *`functions/orthogonal_polys.py`*: `hermite()`, `jacobi_P()`, `laguerre()` (obsolete with #16813), `legendre_P/Q()` (obsolete with #17151), `ultraspherical()`
 * *`functions/piecewise.py`*: `Piecewise.convolution()`
 * *`matrix/matrix1.pyx`*: `Matrix._maxima_init_()`
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 
@@ -12,4 +12,4 @@
 * *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()`, `poly()`, `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
 * *`symbolic/maxima_wrapper.py`*: *
 
-This can be considered part of the metaticket #16688.
+This can be considered part of the metaticket #16688. See also http://trac.sagemath.org/wiki/symbolics/maxima

[rwst]

Description changed:

--- 
+++ 
@@ -3,13 +3,13 @@
 * *`calculus/desolvers.py`*: `desolve_*()`
 * *`combinat/combinat.py`*: `euler_number()`
 * *`geometry/lattice_polytope.py`*: `positive_integer_relations()`
-* *`functions/orthogonal_polys.py`*: `hermite()`, `jacobi_P()`, `laguerre()` (obsolete with #16813), `legendre_P/Q()` (obsolete with #17151), `ultraspherical()`
-* *`functions/piecewise.py`*: `Piecewise.convolution()`
+* *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#16813), `legendre_P/Q()` (#17151), `ultraspherical()` (#20428)
+* *`functions/piecewise.py`*: `piecewise.convolution()`
 * *`matrix/matrix1.pyx`*: `Matrix._maxima_init_()`
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 
 * *`structure/sage_object.pyx`*: `SageObject._maxima_()`, `_maxima_init_()`
 * *`symbolic/assumptions.py`*: `GenericDeclaration.assume()`
-* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()`, `poly()`, `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
+* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` (#20455), `poly()`, `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
 * *`symbolic/maxima_wrapper.py`*: *
 
 This can be considered part of the metaticket #16688. See also http://trac.sagemath.org/wiki/symbolics/maxima

[fchapoton]

Description changed:

--- 
+++ 
@@ -1,7 +1,7 @@
 This metaticket tracks efforts to remove the usage of pexpect for calling maxima, either by using `maxima_lib` or replacing it altogether. Code that is dependent on the maxima expect interface is in:
 
 * *`calculus/desolvers.py`*: `desolve_*()`
-* *`combinat/combinat.py`*: `euler_number()`
+* *`combinat/combinat.py`*: `euler_number()` (see #17770 and #20763)
 * *`geometry/lattice_polytope.py`*: `positive_integer_relations()`
 * *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#16813), `legendre_P/Q()` (#17151), `ultraspherical()` (#20428)
 * *`functions/piecewise.py`*: `piecewise.convolution()`

[fchapoton]

Description changed:

--- 
+++ 
@@ -2,7 +2,7 @@
 
 * *`calculus/desolvers.py`*: `desolve_*()`
 * *`combinat/combinat.py`*: `euler_number()` (see #17770 and #20763)
-* *`geometry/lattice_polytope.py`*: `positive_integer_relations()`
+* *`geometry/lattice_polytope.py`*: `positive_integer_relations()` #20766
 * *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#16813), `legendre_P/Q()` (#17151), `ultraspherical()` (#20428)
 * *`functions/piecewise.py`*: `piecewise.convolution()`
 * *`matrix/matrix1.pyx`*: `Matrix._maxima_init_()`

[rwst]

Description changed:

--- 
+++ 
@@ -3,7 +3,7 @@
 * *`calculus/desolvers.py`*: `desolve_*()`
 * *`combinat/combinat.py`*: `euler_number()` (see #17770 and #20763)
 * *`geometry/lattice_polytope.py`*: `positive_integer_relations()` #20766
-* *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#16813), `legendre_P/Q()` (#17151), `ultraspherical()` (#20428)
+* *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#17151), `legendre_P/Q()` (#16813), `ultraspherical()` (#20428)
 * *`functions/piecewise.py`*: `piecewise.convolution()`
 * *`matrix/matrix1.pyx`*: `Matrix._maxima_init_()`
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 

[rwst]

Description changed:

--- 
+++ 
@@ -9,7 +9,7 @@
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 
 * *`structure/sage_object.pyx`*: `SageObject._maxima_()`, `_maxima_init_()`
 * *`symbolic/assumptions.py`*: `GenericDeclaration.assume()`
-* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` (#20455), `poly()`, `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
+* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` and `poly()` (both #20455), `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
 * *`symbolic/maxima_wrapper.py`*: *
 
 This can be considered part of the metaticket #16688. See also http://trac.sagemath.org/wiki/symbolics/maxima

[rwst]

Description changed:

--- 
+++ 
@@ -5,6 +5,7 @@
 * *`geometry/lattice_polytope.py`*: `positive_integer_relations()` #20766
 * *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#17151), `legendre_P/Q()` (#16813), `ultraspherical()` (#20428)
 * *`functions/piecewise.py`*: `piecewise.convolution()`
+* *`functions/special.py`*: `SphericalHarmonic._eval_()` (#20939)
 * *`matrix/matrix1.pyx`*: `Matrix._maxima_init_()`
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 
 * *`structure/sage_object.pyx`*: `SageObject._maxima_()`, `_maxima_init_()`

[rwst]

Description changed:

--- 
+++ 
@@ -1,8 +1,6 @@
 This metaticket tracks efforts to remove the usage of pexpect for calling maxima, either by using `maxima_lib` or replacing it altogether. Code that is dependent on the maxima expect interface is in:
 
 * *`calculus/desolvers.py`*: `desolve_*()`
-* *`combinat/combinat.py`*: `euler_number()` (see #17770 and #20763)
-* *`geometry/lattice_polytope.py`*: `positive_integer_relations()` #20766
 * *`functions/orthogonal_polys.py`*: `hermite()` (#20297), `jacobi_P()`, `laguerre()` (#17151), `legendre_P/Q()` (#16813), `ultraspherical()` (#20428)
 * *`functions/piecewise.py`*: `piecewise.convolution()`
 * *`functions/special.py`*: `SphericalHarmonic._eval_()` (#20939)
@@ -13,4 +11,8 @@
 * *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` and `poly()` (both #20455), `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
 * *`symbolic/maxima_wrapper.py`*: *
 
+Already done:
+* *`combinat/combinat.py`*: `euler_number()` (see #17770 and #20763)
+* *`geometry/lattice_polytope.py`*: `positive_integer_relations()` #20766
+
 This can be considered part of the metaticket #16688. See also http://trac.sagemath.org/wiki/symbolics/maxima

[rwst]

Description changed:

--- 
+++ 
@@ -8,7 +8,7 @@
 * *`matrix/matrix_symbolic_dense.pyx`*: `Matrix_symbolic_dense.exp()` 
 * *`structure/sage_object.pyx`*: `SageObject._maxima_()`, `_maxima_init_()`
 * *`symbolic/assumptions.py`*: `GenericDeclaration.assume()`
-* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` and `poly()` (both #20455), `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()`, `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
+* *`symbolic/expression.pyx`*: `Ex.assume()`, `forget()`, `assume_str()`, `assert()`, `expand_trig()`, `reduce_trig()`, `coefficients()` and `poly()` (both #20455), `maxima_methods()`, `rectform()`, `simplify()`, `simplify_real()`, `simplify_rational()` (#21335), `simplify_log()`, `expand_log()`, `factor()`, `solve()`, `sum()`
 * *`symbolic/maxima_wrapper.py`*: *
 
 Already done: