def plot_and_save(name): tmp_file = TmpFileManager.tmp_file x = Symbol('x') y = Symbol('y') z = Symbol('z') ### # Examples from the 'introduction' notebook ### p = plot(x) p = plot(x*sin(x), x*cos(x)) p.extend(p) p[0].line_color = lambda a: a p[1].line_color = 'b' p.title = 'Big title' p.xlabel = 'the x axis' p[1].label = 'straight line' p.legend = True p.aspect_ratio = (1, 1) p.xlim = (-15, 20) p.save(tmp_file('%s_basic_options_and_colors' % name)) p._backend.close() p.extend(plot(x + 1)) p.append(plot(x + 3, x**2)[1]) p.save(tmp_file('%s_plot_extend_append' % name)) p[2] = plot(x**2, (x, -2, 3)) p.save(tmp_file('%s_plot_setitem' % name)) p._backend.close() p = plot(sin(x), (x, -2*pi, 4*pi)) p.save(tmp_file('%s_line_explicit' % name)) p._backend.close() p = plot(sin(x)) p.save(tmp_file('%s_line_default_range' % name)) p._backend.close() p = plot((x**2, (x, -5, 5)), (x**3, (x, -3, 3))) p.save(tmp_file('%s_line_multiple_range' % name)) p._backend.close() raises(ValueError, lambda: plot(x, y)) #Piecewise plots p = plot(Piecewise((1, x > 0), (0, True)), (x, -1, 1)) p.save(tmp_file('%s_plot_piecewise' % name)) p._backend.close() p = plot(Piecewise((x, x < 1), (x**2, True)), (x, -3, 3)) p.save(tmp_file('%s_plot_piecewise_2' % name)) p._backend.close() # test issue 7471 p1 = plot(x) p2 = plot(3) p1.extend(p2) p.save(tmp_file('%s_horizontal_line' % name)) p._backend.close() # test issue 10925 f = Piecewise((-1, x < -1), (x, And(-1 <= x, x < 0)), \ (x**2, And(0 <= x, x < 1)), (x**3, x >= 1)) p = plot(f, (x, -3, 3)) p.save(tmp_file('%s_plot_piecewise_3' % name)) p._backend.close() #parametric 2d plots. #Single plot with default range. plot_parametric(sin(x), cos(x)).save(tmp_file()) #Single plot with range. p = plot_parametric(sin(x), cos(x), (x, -5, 5)) p.save(tmp_file('%s_parametric_range' % name)) p._backend.close() #Multiple plots with same range. p = plot_parametric((sin(x), cos(x)), (x, sin(x))) p.save(tmp_file('%s_parametric_multiple' % name)) p._backend.close() #Multiple plots with different ranges. p = plot_parametric((sin(x), cos(x), (x, -3, 3)), (x, sin(x), (x, -5, 5))) p.save(tmp_file('%s_parametric_multiple_ranges' % name)) p._backend.close() #depth of recursion specified. p = plot_parametric(x, sin(x), depth=13) p.save(tmp_file('%s_recursion_depth' % name)) p._backend.close() #No adaptive sampling. p = plot_parametric(cos(x), sin(x), adaptive=False, nb_of_points=500) p.save(tmp_file('%s_adaptive' % name)) p._backend.close() #3d parametric plots p = plot3d_parametric_line(sin(x), cos(x), x) p.save(tmp_file('%s_3d_line' % name)) p._backend.close() p = plot3d_parametric_line( (sin(x), cos(x), x, (x, -5, 5)), (cos(x), sin(x), x, (x, -3, 3))) p.save(tmp_file('%s_3d_line_multiple' % name)) p._backend.close() p = plot3d_parametric_line(sin(x), cos(x), x, nb_of_points=30) p.save(tmp_file('%s_3d_line_points' % name)) p._backend.close() # 3d surface single plot. p = plot3d(x * y) p.save(tmp_file('%s_surface' % name)) p._backend.close() # Multiple 3D plots with same range. p = plot3d(-x * y, x * y, (x, -5, 5)) p.save(tmp_file('%s_surface_multiple' % name)) p._backend.close() # Multiple 3D plots with different ranges. p = plot3d( (x * y, (x, -3, 3), (y, -3, 3)), (-x * y, (x, -3, 3), (y, -3, 3))) p.save(tmp_file('%s_surface_multiple_ranges' % name)) p._backend.close() # Single Parametric 3D plot p = plot3d_parametric_surface(sin(x + y), cos(x - y), x - y) p.save(tmp_file('%s_parametric_surface' % name)) p._backend.close() # Multiple Parametric 3D plots. p = plot3d_parametric_surface( (x*sin(z), x*cos(z), z, (x, -5, 5), (z, -5, 5)), (sin(x + y), cos(x - y), x - y, (x, -5, 5), (y, -5, 5))) p.save(tmp_file('%s_parametric_surface' % name)) p._backend.close() ### # Examples from the 'colors' notebook ### p = plot(sin(x)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_line_arity2' % name)) p._backend.close() p = plot(x*sin(x), x*cos(x), (x, 0, 10)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_param_line_arity1' % name)) p[0].line_color = lambda a, b: a p.save(tmp_file('%s_colors_param_line_arity2a' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_param_line_arity2b' % name)) p._backend.close() p = plot3d_parametric_line(sin(x) + 0.1*sin(x)*cos(7*x), cos(x) + 0.1*cos(x)*cos(7*x), 0.1*sin(7*x), (x, 0, 2*pi)) p[0].line_color = lambdify_(x, sin(4*x)) p.save(tmp_file('%s_colors_3d_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_3d_line_arity2' % name)) p[0].line_color = lambda a, b, c: c p.save(tmp_file('%s_colors_3d_line_arity3' % name)) p._backend.close() p = plot3d(sin(x)*y, (x, 0, 6*pi), (y, -5, 5)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_surface_arity1' % name)) p[0].surface_color = lambda a, b: b p.save(tmp_file('%s_colors_surface_arity2' % name)) p[0].surface_color = lambda a, b, c: c p.save(tmp_file('%s_colors_surface_arity3a' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3*pi)**2 + y**2)) p.save(tmp_file('%s_colors_surface_arity3b' % name)) p._backend.close() p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y, (x, -1, 1), (y, -1, 1)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_param_surf_arity1' % name)) p[0].surface_color = lambda a, b: a*b p.save(tmp_file('%s_colors_param_surf_arity2' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2)) p.save(tmp_file('%s_colors_param_surf_arity3' % name)) p._backend.close() ### # Examples from the 'advanced' notebook ### # XXX: This raises the warning "The evaluation of the expression is # problematic. We are trying a failback method that may still work. Please # report this as a bug." It has to use the fallback because using evalf() # is the only way to evaluate the integral. We should perhaps just remove # that warning. with warnings.catch_warnings(record=True) as w: i = Integral(log((sin(x)**2 + 1)*sqrt(x**2 + 1)), (x, 0, y)) p = plot(i, (y, 1, 5)) p.save(tmp_file('%s_advanced_integral' % name)) p._backend.close() # Make sure no other warnings were raised for i in w: assert issubclass(i.category, UserWarning) assert "The evaluation of the expression is problematic" in str(i.message) s = Sum(1/x**y, (x, 1, oo)) p = plot(s, (y, 2, 10)) p.save(tmp_file('%s_advanced_inf_sum' % name)) p._backend.close() p = plot(Sum(1/x, (x, 1, y)), (y, 2, 10), show=False) p[0].only_integers = True p[0].steps = True p.save(tmp_file('%s_advanced_fin_sum' % name)) p._backend.close() ### # Test expressions that can not be translated to np and generate complex # results. ### plot(sin(x) + I*cos(x)).save(tmp_file()) plot(sqrt(sqrt(-x))).save(tmp_file()) plot(LambertW(x)).save(tmp_file()) plot(sqrt(LambertW(x))).save(tmp_file()) #Characteristic function of a StudentT distribution with nu=10 plot((meijerg(((1 / 2,), ()), ((5, 0, 1 / 2), ()), 5 * x**2 * exp_polar(-I*pi)/2) + meijerg(((1/2,), ()), ((5, 0, 1/2), ()), 5*x**2 * exp_polar(I*pi)/2)) / (48 * pi), (x, 1e-6, 1e-2)).save(tmp_file())
def plot_and_save_3(name): tmp_file = TmpFileManager.tmp_file x = Symbol('x') y = Symbol('y') z = Symbol('z') ### # Examples from the 'colors' notebook ### p = plot(sin(x)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_line_arity2' % name)) p._backend.close() p = plot(x*sin(x), x*cos(x), (x, 0, 10)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_param_line_arity1' % name)) p[0].line_color = lambda a, b: a p.save(tmp_file('%s_colors_param_line_arity2a' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_param_line_arity2b' % name)) p._backend.close() p = plot3d_parametric_line(sin(x) + 0.1*sin(x)*cos(7*x), cos(x) + 0.1*cos(x)*cos(7*x), 0.1*sin(7*x), (x, 0, 2*pi)) p[0].line_color = lambdify_(x, sin(4*x)) p.save(tmp_file('%s_colors_3d_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_3d_line_arity2' % name)) p[0].line_color = lambda a, b, c: c p.save(tmp_file('%s_colors_3d_line_arity3' % name)) p._backend.close() p = plot3d(sin(x)*y, (x, 0, 6*pi), (y, -5, 5)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_surface_arity1' % name)) p[0].surface_color = lambda a, b: b p.save(tmp_file('%s_colors_surface_arity2' % name)) p[0].surface_color = lambda a, b, c: c p.save(tmp_file('%s_colors_surface_arity3a' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3*pi)**2 + y**2)) p.save(tmp_file('%s_colors_surface_arity3b' % name)) p._backend.close() p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y, (x, -1, 1), (y, -1, 1)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_param_surf_arity1' % name)) p[0].surface_color = lambda a, b: a*b p.save(tmp_file('%s_colors_param_surf_arity2' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2)) p.save(tmp_file('%s_colors_param_surf_arity3' % name)) p._backend.close()
def plot_and_save_3(name): tmp_file = TmpFileManager.tmp_file x = Symbol('x') y = Symbol('y') z = Symbol('z') ### # Examples from the 'colors' notebook ### p = plot(sin(x)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_line_arity2' % name)) p._backend.close() p = plot(x * sin(x), x * cos(x), (x, 0, 10)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_param_line_arity1' % name)) p[0].line_color = lambda a, b: a p.save(tmp_file('%s_colors_param_line_arity2a' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_param_line_arity2b' % name)) p._backend.close() p = plot3d_parametric_line( sin(x) + 0.1 * sin(x) * cos(7 * x), cos(x) + 0.1 * cos(x) * cos(7 * x), 0.1 * sin(7 * x), (x, 0, 2 * pi)) p[0].line_color = lambdify_(x, sin(4 * x)) p.save(tmp_file('%s_colors_3d_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_3d_line_arity2' % name)) p[0].line_color = lambda a, b, c: c p.save(tmp_file('%s_colors_3d_line_arity3' % name)) p._backend.close() p = plot3d(sin(x) * y, (x, 0, 6 * pi), (y, -5, 5)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_surface_arity1' % name)) p[0].surface_color = lambda a, b: b p.save(tmp_file('%s_colors_surface_arity2' % name)) p[0].surface_color = lambda a, b, c: c p.save(tmp_file('%s_colors_surface_arity3a' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3 * pi)**2 + y**2)) p.save(tmp_file('%s_colors_surface_arity3b' % name)) p._backend.close() p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y, (x, -1, 1), (y, -1, 1)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_param_surf_arity1' % name)) p[0].surface_color = lambda a, b: a * b p.save(tmp_file('%s_colors_param_surf_arity2' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2)) p.save(tmp_file('%s_colors_param_surf_arity3' % name)) p._backend.close()
def test_plot_and_save_3(): if not matplotlib: skip("Matplotlib not the default backend") x = Symbol('x') y = Symbol('y') z = Symbol('z') with TemporaryDirectory(prefix='sympy_') as tmpdir: ### # Examples from the 'colors' notebook ### p = plot(sin(x)) p[0].line_color = lambda a: a filename = 'test_colors_line_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].line_color = lambda a, b: b filename = 'test_colors_line_arity2.png' p.save(os.path.join(tmpdir, filename)) p._backend.close() p = plot(x*sin(x), x*cos(x), (x, 0, 10)) p[0].line_color = lambda a: a filename = 'test_colors_param_line_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].line_color = lambda a, b: a filename = 'test_colors_param_line_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].line_color = lambda a, b: b filename = 'test_colors_param_line_arity2b.png' p.save(os.path.join(tmpdir, filename)) p._backend.close() p = plot3d_parametric_line(sin(x) + 0.1*sin(x)*cos(7*x), cos(x) + 0.1*cos(x)*cos(7*x), 0.1*sin(7*x), (x, 0, 2*pi)) p[0].line_color = lambdify_(x, sin(4*x)) filename = 'test_colors_3d_line_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].line_color = lambda a, b: b filename = 'test_colors_3d_line_arity2.png' p.save(os.path.join(tmpdir, filename)) p[0].line_color = lambda a, b, c: c filename = 'test_colors_3d_line_arity3.png' p.save(os.path.join(tmpdir, filename)) p._backend.close() p = plot3d(sin(x)*y, (x, 0, 6*pi), (y, -5, 5)) p[0].surface_color = lambda a: a filename = 'test_colors_surface_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].surface_color = lambda a, b: b filename = 'test_colors_surface_arity2.png' p.save(os.path.join(tmpdir, filename)) p[0].surface_color = lambda a, b, c: c filename = 'test_colors_surface_arity3a.png' p.save(os.path.join(tmpdir, filename)) p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3*pi)**2 + y**2)) filename = 'test_colors_surface_arity3b.png' p.save(os.path.join(tmpdir, filename)) p._backend.close() p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y, (x, -1, 1), (y, -1, 1)) p[0].surface_color = lambda a: a filename = 'test_colors_param_surf_arity1.png' p.save(os.path.join(tmpdir, filename)) p[0].surface_color = lambda a, b: a*b filename = 'test_colors_param_surf_arity2.png' p.save(os.path.join(tmpdir, filename)) p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2)) filename = 'test_colors_param_surf_arity3.png' p.save(os.path.join(tmpdir, filename)) p._backend.close()
def plot_and_save(name): tmp_file = TmpFileManager.tmp_file x = Symbol('x') y = Symbol('y') z = Symbol('z') ### # Examples from the 'introduction' notebook ### p = plot(x) p = plot(x * sin(x), x * cos(x)) p.extend(p) p[0].line_color = lambda a: a p[1].line_color = 'b' p.title = 'Big title' p.xlabel = 'the x axis' p[1].label = 'straight line' p.legend = True p.aspect_ratio = (1, 1) p.xlim = (-15, 20) p.save(tmp_file('%s_basic_options_and_colors' % name)) p._backend.close() p.extend(plot(x + 1)) p.append(plot(x + 3, x**2)[1]) p.save(tmp_file('%s_plot_extend_append' % name)) p[2] = plot(x**2, (x, -2, 3)) p.save(tmp_file('%s_plot_setitem' % name)) p._backend.close() p = plot(sin(x), (x, -2 * pi, 4 * pi)) p.save(tmp_file('%s_line_explicit' % name)) p._backend.close() p = plot(sin(x)) p.save(tmp_file('%s_line_default_range' % name)) p._backend.close() p = plot((x**2, (x, -5, 5)), (x**3, (x, -3, 3))) p.save(tmp_file('%s_line_multiple_range' % name)) p._backend.close() raises(ValueError, lambda: plot(x, y)) #Piecewise plots p = plot(Piecewise((1, x > 0), (0, True)), (x, -1, 1)) p.save(tmp_file('%s_plot_piecewise' % name)) p._backend.close() p = plot(Piecewise((x, x < 1), (x**2, True)), (x, -3, 3)) p.save(tmp_file('%s_plot_piecewise_2' % name)) p._backend.close() # test issue 7471 p1 = plot(x) p2 = plot(3) p1.extend(p2) p.save(tmp_file('%s_horizontal_line' % name)) p._backend.close() # test issue 10925 f = Piecewise((-1, x < -1), (x, And(-1 <= x, x < 0)), \ (x**2, And(0 <= x, x < 1)), (x**3, x >= 1)) p = plot(f, (x, -3, 3)) p.save(tmp_file('%s_plot_piecewise_3' % name)) p._backend.close() #parametric 2d plots. #Single plot with default range. plot_parametric(sin(x), cos(x)).save(tmp_file()) #Single plot with range. p = plot_parametric(sin(x), cos(x), (x, -5, 5)) p.save(tmp_file('%s_parametric_range' % name)) p._backend.close() #Multiple plots with same range. p = plot_parametric((sin(x), cos(x)), (x, sin(x))) p.save(tmp_file('%s_parametric_multiple' % name)) p._backend.close() #Multiple plots with different ranges. p = plot_parametric((sin(x), cos(x), (x, -3, 3)), (x, sin(x), (x, -5, 5))) p.save(tmp_file('%s_parametric_multiple_ranges' % name)) p._backend.close() #depth of recursion specified. p = plot_parametric(x, sin(x), depth=13) p.save(tmp_file('%s_recursion_depth' % name)) p._backend.close() #No adaptive sampling. p = plot_parametric(cos(x), sin(x), adaptive=False, nb_of_points=500) p.save(tmp_file('%s_adaptive' % name)) p._backend.close() #3d parametric plots p = plot3d_parametric_line(sin(x), cos(x), x) p.save(tmp_file('%s_3d_line' % name)) p._backend.close() p = plot3d_parametric_line((sin(x), cos(x), x, (x, -5, 5)), (cos(x), sin(x), x, (x, -3, 3))) p.save(tmp_file('%s_3d_line_multiple' % name)) p._backend.close() p = plot3d_parametric_line(sin(x), cos(x), x, nb_of_points=30) p.save(tmp_file('%s_3d_line_points' % name)) p._backend.close() # 3d surface single plot. p = plot3d(x * y) p.save(tmp_file('%s_surface' % name)) p._backend.close() # Multiple 3D plots with same range. p = plot3d(-x * y, x * y, (x, -5, 5)) p.save(tmp_file('%s_surface_multiple' % name)) p._backend.close() # Multiple 3D plots with different ranges. p = plot3d((x * y, (x, -3, 3), (y, -3, 3)), (-x * y, (x, -3, 3), (y, -3, 3))) p.save(tmp_file('%s_surface_multiple_ranges' % name)) p._backend.close() # Single Parametric 3D plot p = plot3d_parametric_surface(sin(x + y), cos(x - y), x - y) p.save(tmp_file('%s_parametric_surface' % name)) p._backend.close() # Multiple Parametric 3D plots. p = plot3d_parametric_surface( (x * sin(z), x * cos(z), z, (x, -5, 5), (z, -5, 5)), (sin(x + y), cos(x - y), x - y, (x, -5, 5), (y, -5, 5))) p.save(tmp_file('%s_parametric_surface' % name)) p._backend.close() ### # Examples from the 'colors' notebook ### p = plot(sin(x)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_line_arity2' % name)) p._backend.close() p = plot(x * sin(x), x * cos(x), (x, 0, 10)) p[0].line_color = lambda a: a p.save(tmp_file('%s_colors_param_line_arity1' % name)) p[0].line_color = lambda a, b: a p.save(tmp_file('%s_colors_param_line_arity2a' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_param_line_arity2b' % name)) p._backend.close() p = plot3d_parametric_line( sin(x) + 0.1 * sin(x) * cos(7 * x), cos(x) + 0.1 * cos(x) * cos(7 * x), 0.1 * sin(7 * x), (x, 0, 2 * pi)) p[0].line_color = lambdify_(x, sin(4 * x)) p.save(tmp_file('%s_colors_3d_line_arity1' % name)) p[0].line_color = lambda a, b: b p.save(tmp_file('%s_colors_3d_line_arity2' % name)) p[0].line_color = lambda a, b, c: c p.save(tmp_file('%s_colors_3d_line_arity3' % name)) p._backend.close() p = plot3d(sin(x) * y, (x, 0, 6 * pi), (y, -5, 5)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_surface_arity1' % name)) p[0].surface_color = lambda a, b: b p.save(tmp_file('%s_colors_surface_arity2' % name)) p[0].surface_color = lambda a, b, c: c p.save(tmp_file('%s_colors_surface_arity3a' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3 * pi)**2 + y**2)) p.save(tmp_file('%s_colors_surface_arity3b' % name)) p._backend.close() p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y, (x, -1, 1), (y, -1, 1)) p[0].surface_color = lambda a: a p.save(tmp_file('%s_colors_param_surf_arity1' % name)) p[0].surface_color = lambda a, b: a * b p.save(tmp_file('%s_colors_param_surf_arity2' % name)) p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2)) p.save(tmp_file('%s_colors_param_surf_arity3' % name)) p._backend.close() ### # Examples from the 'advanced' notebook ### # XXX: This raises the warning "The evaluation of the expression is # problematic. We are trying a failback method that may still work. Please # report this as a bug." It has to use the fallback because using evalf() # is the only way to evaluate the integral. We should perhaps just remove # that warning. with warnings.catch_warnings(record=True) as w: i = Integral(log((sin(x)**2 + 1) * sqrt(x**2 + 1)), (x, 0, y)) p = plot(i, (y, 1, 5)) p.save(tmp_file('%s_advanced_integral' % name)) p._backend.close() # Make sure no other warnings were raised for i in w: assert issubclass(i.category, UserWarning) assert "The evaluation of the expression is problematic" in str( i.message) s = Sum(1 / x**y, (x, 1, oo)) p = plot(s, (y, 2, 10)) p.save(tmp_file('%s_advanced_inf_sum' % name)) p._backend.close() p = plot(Sum(1 / x, (x, 1, y)), (y, 2, 10), show=False) p[0].only_integers = True p[0].steps = True p.save(tmp_file('%s_advanced_fin_sum' % name)) p._backend.close() ### # Test expressions that can not be translated to np and generate complex # results. ### plot(sin(x) + I * cos(x)).save(tmp_file()) plot(sqrt(sqrt(-x))).save(tmp_file()) plot(LambertW(x)).save(tmp_file()) plot(sqrt(LambertW(x))).save(tmp_file()) #Characteristic function of a StudentT distribution with nu=10 plot((meijerg( ((1 / 2, ), ()), ((5, 0, 1 / 2), ()), 5 * x**2 * exp_polar(-I * pi) / 2) + meijerg( ((1 / 2, ), ()), ((5, 0, 1 / 2), ()), 5 * x**2 * exp_polar(I * pi) / 2)) / (48 * pi), (x, 1e-6, 1e-2)).save(tmp_file())