var("x,y,z,t")
f(x,y,z)=y-x+2*z^2
fMax=2.3; fMin=-0.3 def col(x,y,z): return (f(x,y,z)-fMin)/(fMax-fMin)
C_1(t)=(1/2cos(t), 1/2sin(t) + 1/2, sqrt(-1/4(sin(t) + 1)^2 - 1/4cos(t)^2 + 1))
plot_C_1=parametric_plot3d(C_1(t), (t, 0, 2pi), color = (col(C_1(t)), colormaps.jet))
show(plot_C_1)
TypeError Traceback (most recent call last) /opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression.__float__ (build/cythonized/sage/symbolic/expression.cpp:10936)() 1432 try: -> 1433 ret = float(self._eval_self(float)) 1434 except TypeError:
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression._eval_self (build/cythonized/sage/symbolic/expression.cpp:10067)() 1240 else: -> 1241 raise TypeError("Cannot evaluate symbolic expression to a numeric value.") 1242
TypeError: Cannot evaluate symbolic expression to a numeric value.
During handling of the above exception, another exception occurred:
TypeError Traceback (most recent call last) /opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression.__float__ (build/cythonized/sage/symbolic/expression.cpp:10998)() 1435 try: -> 1436 c = (self._eval_self(complex)) 1437 if imag(c) == 0:
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression._eval_self (build/cythonized/sage/symbolic/expression.cpp:10067)() 1240 else: -> 1241 raise TypeError("Cannot evaluate symbolic expression to a numeric value.") 1242
TypeError: Cannot evaluate symbolic expression to a numeric value.
During handling of the above exception, another exception occurred:
TypeError Traceback (most recent call last) <ipython-input-77-c93f611fa629> in <module>() 10 __tmp__=var("t"); C_1 = symbolic_expression((Integer(1)/Integer(2)cos(t), Integer(1)/Integer(2)sin(t) + Integer(1)/Integer(2), sqrt(-Integer(1)/Integer(4)(sin(t) + Integer(1))Integer(2) - Integer(1)/Integer(4)cos(t)Integer(2) + Integer(1)))).function(t) 11 ---> 12 plot_C_1=parametric_plot3d(C_1(t), (t, Integer(0), Integer(2)pi), color = (col(C_1(t)), colormaps.jet)) 13 14 show(plot_C_1)
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/misc/decorators.py in wrapper(args, *kwds) 651 kwds[new_name] = kwds[old_name] 652 del kwds[old_name] --> 653 return func(args, *kwds) 654 655 return wrapper
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/parametric_plot3d.py in parametric_plot3d(f, urange, vrange, plot_points, boundary_style, *kwds) 1005 if plot_points == "automatic": 1006 plot_points = 75 -> 1007 G = _parametric_plot3d_curve(f, urange, plot_points=plot_points, *kwds) 1008 else: 1009 if plot_points == "automatic":
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/parametric_plot3d.py in _parametric_plot3d_curve(f, urange, plot_points, *kwds) 1065 f_x, f_y, f_z = g 1066 w = [(f_x(u), f_y(u), f_z(u)) for u in xsrange(ranges[0], include_endpoint=True)] -> 1067 return line3d(w, **kwds) 1068 1069
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/misc/decorators.py in wrapper(args, *kwds) 651 kwds[new_name] = kwds[old_name] 652 del kwds[old_name] --> 653 return func(args, *kwds) 654 655 return wrapper
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/shapes2.py in line3d(points, thickness, radius, arrow_head, *kwds) 144 points[i] = float(x), float(y), float(z) 145 if radius is None: --> 146 L = Line(points, thickness=thickness, arrow_head=arrow_head, *kwds) 147 L._set_extra_kwds(kwds) 148 L._extra_kwds['thickness'] = thickness # remove this line if json_repr is defined
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/shapes2.py in __init__(self, points, thickness, corner_cutoff, arrow_head, *kwds) 882 if len(points) < 2: 883 raise ValueError("there must be at least 2 points") --> 884 PrimitiveObject.__init__(self, *kwds) 885 self.points = points 886 self.thickness = thickness
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/base.pyx in sage.plot.plot3d.base.PrimitiveObject.__init__ (build/cythonized/sage/plot/plot3d/base.c:34083)() 2501 self.texture = Texture(self.texture) 2502 else: -> 2503 self.texture = Texture(kwds) 2504 2505 def set_texture(self, texture=None, **kwds):
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/texture.py in Texture(id, *kwds) 186 if id is None: 187 id = _new_global_texture_id() --> 188 return Texture_class(id, *kwds) 189 190
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/texture.py in __init__(self, id, color, opacity, ambient, diffuse, specular, shininess, name, **kwds) 310 opacity = color[3] 311 color = tuple(float(1) if c == 1 else float(c) % 1 --> 312 for c in color[0: 3]) 313 314 self.color = color
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/plot/plot3d/texture.py in <genexpr>(.0) 310 opacity = color[3] 311 color = tuple(float(1) if c == 1 else float(c) % 1 --> 312 for c in color[0: 3]) 313 314 self.color = color
/opt/sagemath-9.0/local/lib/python3.7/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression.__float__ (build/cythonized/sage/symbolic/expression.cpp:11129)() 1440 raise 1441 except TypeError: -> 1442 raise TypeError("unable to simplify to float approximation") 1443 return ret 1444
TypeError: unable to simplify to float approximation
