corc.curve.Lame Class Reference

Inheritance diagram for corc.curve.Lame:

Collaboration diagram for corc.curve.Lame:

Public Member Functions
	__init__ (self, float radius, float phi, float ratio, order=2)
	position (self, t)
Public Member Functions inherited from corc.curve.Curve
	__init__ (self, float tmin, float tmax, nsamples=4096)
np.ndarray	p (self, float t)
	derivatives (self, float t)
float	speed (self, float t)
float	s_of_t (self, float t)
float	t_of_s (self, float s)

Public Attributes
	radius = float(radius)
float	a = math.cos(math.radians(phi)) * 0.5 * math.pi * radius
float	b = self.a * ratio
int	order = float(order)
Public Attributes inherited from corc.curve.Curve
	tmin = tmin
	tmax = tmax
	length = float(self._sgrid[-1])

Additional Inherited Members
Static Public Attributes inherited from corc.curve.Curve
bool	closed = False
Protected Member Functions inherited from corc.curve.Curve
	_build_arclength_table (self, int nsamples)
Protected Attributes inherited from corc.curve.Curve
	_tgrid = tgrid
	_sgrid = np.concatenate([[0.0], np.cumsum(seg)])

Detailed Description

Quarter superellipse (Lame curve) wrapped on a cylinder barrel of
given radius — the coil-end path from the legacy code.

x = R cos(alpha), y = R sin(alpha), z = b sin(t)^(2/order)
alpha = a cos(t)^(2/order) / (0.5 pi R),  t in (0, pi/2)
a = cos(phi_deg) * 0.5 pi R,  b = a * ratio

For order > 2 the parametrization is singular AT the endpoints, so the
domain is clipped by a tiny margin; order = 2 is regular everywhere.

Constructor & Destructor Documentation

__init__()

corc.curve.Lame.__init__	(		self,
		float	radius,
		float	phi,
		float	ratio,
			order = 2 )

Member Function Documentation

position()

corc.curve.Lame.position	(		self,
			t )

Return [x, y, z] at parameter t; components are Jets if t is a
Jet. Subclasses implement this with jet-friendly operations.

Reimplemented from corc.curve.Curve.

Member Data Documentation

a

float corc.curve.Lame.a = math.cos(math.radians(phi)) * 0.5 * math.pi * radius

b

float corc.curve.Lame.b = self.a * ratio

order

int corc.curve.Lame.order = float(order)

radius

corc.curve.Lame.radius = float(radius)

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The documentation for this class was generated from the following file:

• examples/corc_twolayer/python/corc/curve.py