Remove lyapunov_rank() for inclusion in Sage.

[sage.d.git] / mjo / symbolic.py

diff --git a/mjo/symbolic.py b/mjo/symbolic.py
index 0afd5a5651ce9dedc3bccab518a6b5f4ec0ee492..e2645a30ed7fe33ceb8fb787d51bfaf87305f1ad 100644 (file)
--- a/mjo/symbolic.py
+++ b/mjo/symbolic.py
@@ -44,89 +44,3 @@ def safe_simplify(expr):
     expr = expr.simplify_factorial()
     expr = expr.simplify_log()
     return expr
-
-
-def matrix_subs_expr(m, *equations):
-    """
-    Symbolic matrices have a `subs()` method, but no `subs_expr()`.
-    This makes it diffucult to substitute in a list of solutions obtained
-    with `solve()`.
-
-    INPUT:
-
-      - ``m`` -- A symbolic matrix.
-
-      - ``equations`` - One or more symbolic equations, presumably for
-        the entries of `m`.
-
-    OUTPUT:
-
-    The result of substituting each equation into `m`, one after another.
-
-    EXAMPLES::
-
-    sage: w,x,y,z = SR.var('w,x,y,z')
-    sage: A = matrix(SR, [[w,x],[y,z]])
-    sage: matrix_subs_expr(A, w == 1, x == 2, y == 3, z == 4)
-    [1 2]
-    [3 4]
-
-    """
-    from sage.symbolic.expression import is_SymbolicEquation
-
-    if not m.base_ring() == SR:
-        raise TypeError, 'the matrix "m" must be symbolic'
-
-    if isinstance(equations[0], dict):
-        eq_dict = equations[0]
-        equations = [ x == eq_dict[x] for x in eq_dict.keys() ]
-
-    if not all([is_SymbolicEquation(eq) for eq in equations]):
-            raise TypeError, "each expression must be an equation"
-
-    d = dict([(eq.lhs(), eq.rhs()) for eq in equations])
-    return m.subs(d)
-
-
-def matrix_simplify_full(A):
-    """
-    Simplify each entry of a symbolic matrix using the
-    Expression.simplify_full() method.
-
-    INPUT:
-
-      - ``A`` - The matrix whose entries we should simplify.
-
-    OUTPUT:
-
-    A copy of ``A`` with all of its entries simplified.
-
-    EXAMPLES:
-
-    Symbolic matrices (examples stolen from Expression.simplify_full())
-    will have their entries simplified::
-
-        sage: a,n,k = SR.var('a,n,k')
-        sage: f1 = sin(x)^2 + cos(x)^2
-        sage: f2 = sin(x/(x^2 + x))
-        sage: f3 = binomial(n,k)*factorial(k)*factorial(n-k)
-        sage: f4 = x*sin(2)/(x^a)
-        sage: A = matrix(SR, [[f1,f2],[f3,f4]])
-        sage: matrix_simplify_full(A)
-        [                1    sin(1/(x + 1))]
-        [     factorial(n) x^(-a + 1)*sin(2)]
-
-    But an exception will be raised if ``A`` is not symbolic::
-
-        sage: A = matrix(QQ, [[1,2],[3,4]])
-        sage: matrix_simplify_full(A)
-        Traceback (most recent call last):
-        ...
-        ValueError: The base ring of `A` must be the Symbolic Ring.
-
-    """
-    if not A.base_ring() == SR:
-        raise ValueError('The base ring of `A` must be the Symbolic Ring.')
-
-    M = A.matrix_space()
-    return M(map(lambda x: x.simplify_full(), A))