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plot_modes.py
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plot_modes.py
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from plot_curve import PlotCurve
from plot_surface import PlotSurface
from sympy import pi, lambdify
from sympy.functions import sin, cos
from math import sin as p_sin
from math import cos as p_cos
def float_vec3(f):
def inner(*args):
v = f(*args)
return float(v[0]), float(v[1]), float(v[2])
return inner
class Cartesian2D(PlotCurve):
i_vars, d_vars = 'x', 'y'
intervals = [[-5,5,100]]
aliases = ['cartesian']
is_default = True
def _get_sympy_evaluator(self):
fy = self.d_vars[0]
x = self.t_interval.v
@float_vec3
def e(_x):
return ( _x, fy.subs(x, _x), 0.0 )
return e
def _get_lambda_evaluator(self):
fy = self.d_vars[0]
x = self.t_interval.v
return lambdify([x], [x, fy, 0.0])
class Cartesian3D(PlotSurface):
i_vars, d_vars = 'xy', 'z'
intervals = [[-1,1,40], [-1,1,40]]
aliases = ['cartesian', 'monge']
is_default = True
def _get_sympy_evaluator(self):
fz = self.d_vars[0]
x = self.u_interval.v
y = self.v_interval.v
@float_vec3
def e(_x, _y):
return ( _x, _y, fz.subs(x, _x).subs(y, _y) )
return e
def _get_lambda_evaluator(self):
fz = self.d_vars[0]
x = self.u_interval.v
y = self.v_interval.v
return lambdify([x,y], [x,y,fz])
class ParametricCurve2D(PlotCurve):
i_vars, d_vars = 't', 'xy'
intervals = [[0,2*pi,100]]
aliases = ['parametric']
is_default = True
def _get_sympy_evaluator(self):
fx, fy = self.d_vars
t = self.t_interval.v
@float_vec3
def e(_t):
return ( fx.subs(t, _t),
fy.subs(t, _t),
0.0 )
return e
def _get_lambda_evaluator(self):
fx, fy = self.d_vars
t = self.t_interval.v
return lambdify([t], [fx,fy,0.0])
class ParametricCurve3D(PlotCurve):
i_vars, d_vars = 't', 'xyz'
intervals = [[0,2*pi,100]]
aliases = ['parametric']
is_default = True
def _get_sympy_evaluator(self):
fx, fy, fz = self.d_vars
t = self.t_interval.v
@float_vec3
def e(_t):
return ( fx.subs(t, _t),
fy.subs(t, _t),
fz.subs(t, _t) )
return e
def _get_lambda_evaluator(self):
fx, fy, fz = self.d_vars
t = self.t_interval.v
return lambdify([t], [fx,fy,fz])
class ParametricSurface(PlotSurface):
i_vars, d_vars = 'uv', 'xyz'
intervals = [[-1,1,40], [-1,1,40]]
aliases = ['parametric']
is_default = True
def _get_sympy_evaluator(self):
fx, fy, fz = self.d_vars
u = self.u_interval.v
v = self.v_interval.v
@float_vec3
def e(_u, _v):
return ( fx.subs(u, _u).subs(v, _v),
fy.subs(u, _u).subs(v, _v),
fz.subs(u, _u).subs(v, _v) )
return e
def _get_lambda_evaluator(self):
fx, fy, fz = self.d_vars
u = self.u_interval.v
v = self.v_interval.v
return lambdify([u,v], [fx, fy, fz])
class Polar(PlotCurve):
i_vars, d_vars = 't', 'r'
intervals = [[0,2*pi,100]]
aliases = ['polar']
is_default = False
def _get_sympy_evaluator(self):
fr = self.d_vars[0]
t = self.t_interval.v
def e(_t):
_r = float( fr.subs(t, _t) )
return ( _r*p_cos(_t), _r*p_sin(_t), 0.0 )
return e
def _get_lambda_evaluator(self):
fr = self.d_vars[0]
t = self.t_interval.v
fx, fy = fr*cos(t), fr*sin(t)
return lambdify([t], [fx,fy,0.0])
class Cylindrical(PlotSurface):
i_vars, d_vars = 'th', 'r'
intervals = [[0,2*pi,40], [-1,1,20]]
aliases = ['cylindrical', 'polar']
is_default = False
def _get_sympy_evaluator(self):
fr = self.d_vars[0]
t = self.u_interval.v
h = self.v_interval.v
def e(_t, _h):
_r = float( fr.subs(t, _t).subs(h, _h) )
return ( _r*p_cos(_t), _r*p_sin(_t), _h )
return e
def _get_lambda_evaluator(self):
fr = self.d_vars[0]
t = self.u_interval.v
h = self.v_interval.v
fx, fy = fr*cos(t), fr*sin(t)
return lambdify([t,h], [fx,fy,h])
class Spherical(PlotSurface):
i_vars, d_vars = 'tp', 'r'
intervals = [[0,2*pi,40], [0,pi,20]]
aliases = ['spherical']
is_default = False
def _get_sympy_evaluator(self):
fr = self.d_vars[0]
t = self.u_interval.v
p = self.v_interval.v
def e(_t, _p):
_r = float( fr.subs(t, _t).subs(p, _p) )
return ( _r*p_cos(_t)*p_sin(_p),
_r*p_sin(_t)*p_sin(_p),
_r*p_cos(_p) )
return e
def _get_lambda_evaluator(self):
fr = self.d_vars[0]
t = self.u_interval.v
p = self.v_interval.v
fx = fr*cos(t)*sin(p)
fy = fr*sin(t)*sin(p)
fz = fr*cos(p)
return lambdify([t,p], [fx,fy,fz])
Cartesian2D._register()
Cartesian3D._register()
ParametricCurve2D._register()
ParametricCurve3D._register()
ParametricSurface._register()
Polar._register()
Cylindrical._register()
Spherical._register()