Trac #33837: sage.{numerical,calculus,probability}: Remove use of SAGE_TMP in doctests

(split out from #33213)

URL: https://trac.sagemath.org/33837
Reported by: mkoeppe
Ticket author(s): Michael Orlitzky
Reviewer(s): Matthias Koeppe

Author: Release Manager

src/sage/calculus/calculus.py

@@ -1620,7 +1620,9 @@ def laplace(ex, t, s, algorithm='maxima'):
         91/8*e^(4*t) + 629/8*e^(-4*t)
         sage: p1 = plot(xt,0,1/2,rgbcolor=(1,0,0))
         sage: p2 = plot(yt,0,1/2,rgbcolor=(0,1,0))
-        sage: (p1+p2).save(os.path.join(SAGE_TMP, "de_plot.png"))
+        sage: import tempfile
+        sage: with tempfile.NamedTemporaryFile(suffix=".png") as f:
+        ....:     (p1+p2).save(f.name)
 
     Another example::
 

src/sage/calculus/ode.pyx

@@ -236,8 +236,9 @@ class ode_solver(object):
         sage: T.function=f_1
         sage: T.jacobian=j_1
         sage: T.ode_solve(y_0=[1,0],t_span=[0,100],params=[10.0],num_points=1000)
-        sage: outfile = os.path.join(SAGE_TMP, 'sage.png')
-        sage: T.plot_solution(filename=outfile)
+        sage: import tempfile
+        sage: with tempfile.NamedTemporaryFile(suffix=".png") as f:
+        ....:     T.plot_solution(filename=f.name)
 
     The solver line is equivalent to::
 
@@ -261,9 +262,10 @@ class ode_solver(object):
 
     By default T.plot_solution() plots the y_0, to plot general y_i use::
 
-        sage: T.plot_solution(i=0, filename=outfile)
-        sage: T.plot_solution(i=1, filename=outfile)
-        sage: T.plot_solution(i=2, filename=outfile)
+        sage: with tempfile.NamedTemporaryFile(suffix=".png") as f:
+        ....:     T.plot_solution(i=0, filename=f.name)
+        ....:     T.plot_solution(i=1, filename=f.name)
+        ....:     T.plot_solution(i=2, filename=f.name)
 
     The method interpolate_solution will return a spline interpolation
     through the points found by the solver. By default y_0 is
@@ -321,13 +323,15 @@ class ode_solver(object):
     following (WARNING: the following is *not* automatically
     doctested)::
 
-        sage: T = ode_solver()                     # not tested
-        sage: T.algorithm = "bsimp"                # not tested
-        sage: vander = van_der_pol()               # not tested
-        sage: T.function=vander                    # not tested
-        sage: T.ode_solve(y_0 = [1,0], t_span=[0,2000], num_points=1000)   # not tested
-        sage: T.plot_solution(i=0, filename=os.path.join(SAGE_TMP, 'test.png'))        # not tested
-
+        sage: T = ode_solver()                               # not tested
+        sage: T.algorithm = "bsimp"                          # not tested
+        sage: vander = van_der_pol()                         # not tested
+        sage: T.function=vander                              # not tested
+        sage: T.ode_solve(y_0 = [1,0], t_span=[0,2000],      # not tested
+        ....:             num_points=1000)                   # not tested
+        sage: from tempfile import NamedTemporaryFile        # not tested
+        sage: with NamedTemporaryFile(suffix=".png") as f:   # not tested
+        ....:     T.plot_solution(i=0, filename=f.name)      # not tested
 
     """
     def __init__(self,function=None,jacobian=None,h = 1e-2,error_abs=1e-10,error_rel=1e-10, a=False,a_dydt=False,scale_abs=False,algorithm="rkf45",y_0=None,t_span=None,params = []):

src/sage/numerical/backends/generic_backend.pyx

@@ -948,7 +948,9 @@ cdef class GenericBackend:
             2
             sage: p.add_linear_constraint([(0, 1], (1, 2)], None, 3) # optional - Nonexistent_LP_solver
             sage: p.set_objective([2, 5])                          # optional - Nonexistent_LP_solver
-            sage: p.write_lp(os.path.join(SAGE_TMP, "lp_problem.lp"))            # optional - Nonexistent_LP_solver
+            sage: from tempfile import NamedTemporaryFile  # optional - Nonexistent_LP_solver
+            sage: with NamedTemporaryFile(suffix=".lp") as f:  # optional - Nonexistent_LP_solver
+            ....:     p.write_lp(f.name)
         """
         raise NotImplementedError()
 
@@ -968,7 +970,10 @@ cdef class GenericBackend:
             2
             sage: p.add_linear_constraint([(0, 1), (1, 2)], None, 3) # optional - Nonexistent_LP_solver
             sage: p.set_objective([2, 5])                          # optional - Nonexistent_LP_solver
-            sage: p.write_lp(os.path.join(SAGE_TMP, "lp_problem.lp"))            # optional - Nonexistent_LP_solver
+            sage: from tempfile import NamedTemporaryFile  # optional - Nonexistent_LP_solver
+            sage: with NamedTemporaryFile(suffix=".lp") as f:  # optional - Nonexistent_LP_solver
+            ....:     p.write_lp(f.name)
+
         """
         raise NotImplementedError()
 

src/sage/probability/probability_distribution.pyx

@@ -164,16 +164,14 @@ cdef class ProbabilityDistribution:
 
         EXAMPLES:
 
-        This saves the histogram plot to
-        ``my_general_distribution_plot.png`` in the temporary
-        directory ``SAGE_TMP``::
+        This saves the histogram plot to a temporary file::
 
             sage: from sage.probability.probability_distribution import GeneralDiscreteDistribution
-            sage: import os
+            sage: import tempfile
             sage: P = [0.3, 0.4, 0.3]
             sage: X = GeneralDiscreteDistribution(P)
-            sage: file = os.path.join(SAGE_TMP, "my_general_distribution_plot")
-            sage: X.generate_histogram_plot(file)
+            sage: with tempfile.NamedTemporaryFile() as f:
+            ....:     X.generate_histogram_plot(f.name)
         """
         import pylab
         l = [float(self.get_random_element()) for _ in range(num_samples)]