phystricks.src.AffineVectorGraph.AffineVectorGraph Class Reference

Inheritance diagram for phystricks.src.AffineVectorGraph.AffineVectorGraph:

Collaboration diagram for phystricks.src.AffineVectorGraph.AffineVectorGraph:

Public Member Functions
def	__init__ (self, I, F)
def	Dx (self)
def	Dy (self)
def	is_horizontal (self)
def	is_vertical (self)
def	slope (self)
def	length (self)
def	fix_visual_size (self, l, xunit=None, yunit=None, pspict=None)
def	exact_length (self)
def	angle (self)
def	numerical_approx (self)
def	orthogonal (self)
def	rotation (self, angle)
def	projection (self, seg)
def	decomposition (self, seg)
	Return the decomposition of self into a v-component and a normal (to v) component. More...
def	inner_product (self, other)
def	copy (self)
def	translate (self, v)
def	advised_mark_angle (self, pspict=None)
def	midpoint (self, advised=True)
def	fix_origin (self, P)
def	normalize (self, l=1)
def	__str__ (self)
def	extend (self, other)
	put the vector other on the end of self More...
def	__add__ (self, other)
	add two vectors based on the same point. More...
def	__sub__ (self, other)
def	__mul__ (self, coef)
def	__rmul__ (self, coef)
def	__div__ (self, coef)
def	__neg__ (self)
def	__eq__ (self, other)
def	is_almost_equal (self, other)
def	__ne__ (self, other)
def	mark_point (self, pspict=None)
def	tikz_code (self, pspict=None)
def	latex_code (self, language=None, pspict=None)

Public Attributes
	I
	F
	segment

Private Member Functions
def	_bounding_box (self, pspict)

Constructor & Destructor Documentation

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__init__	(		self,
			I,
			F
	)

Member Function Documentation

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__add__	(		self,
			other
	)

add two vectors based on the same point.

The function checks if the vectors self and other are based on the same point. Sometimes, it causes strange problems. When one of the coordinates has the form a=3.00000000000000*cos(0.111111111111111*pi) Checking equalities with that kind of numbers causes OverflowError: Python int too large to convert to C long

If you know that v1 and v2 have the same origin and want to sum them you can also do v1.extend(v2)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__div__	(		self,
			coef
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__eq__	(		self,
			other
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__mul__	(		self,
			coef
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__ne__	(		self,
			other
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__neg__

(

self

)

return -self. 

That is an affine vector attached to the same point, but
with the opposite direction.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__rmul__	(		self,
			coef
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__str__

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.__sub__	(		self,
			other
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph._bounding_box (   self,   pspict  )

private

def phystricks.src.AffineVectorGraph.AffineVectorGraph.advised_mark_angle	(		self,
			pspict = None
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.angle

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.copy

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.decomposition	(		self,
			seg
	)

Return the decomposition of self into a v-component and a normal (to v) component.

INPUT:

• v - a segment or a vector

OUTPUT:

A tuple :

• the first element is the orthogonale component
• the second element is the parallel component

NOTE:

The result does not depend on v, but only on the direction of v.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.Dx

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.Dy

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.exact_length

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.extend	(		self,
			other
	)

put the vector other on the end of self

This is the usual vector sum, but here we accept two vector that have not the same initial point.

Returns

a vector with same initial point as self.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.fix_origin	(		self,
			P
	)

Return the affine vector that is equal to 'self' but attached
to point P.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.fix_visual_size	(		self,
			l,
			xunit = None,
			yunit = None,
			pspict = None
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.inner_product	(		self,
			other
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.is_almost_equal	(		self,
			other
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.is_horizontal

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.is_vertical

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.latex_code	(		self,
			language = None,
			pspict = None
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.length

(

self

)

Return a numerical approximation of the length.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.mark_point	(		self,
			pspict = None
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.midpoint	(		self,
			advised = True
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.normalize	(		self,
			l = 1
	)

Return a new affine vector with
- same starting point
- same direction (if 'l' is negative, change the direction)
- size l

By default, normalize to 1.

def phystricks.src.AffineVectorGraph.AffineVectorGraph.numerical_approx

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.orthogonal

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.projection	(		self,
			seg
	)

Return the projection of 'self' on the segment 'seg' (you can also
pass a vector).

def phystricks.src.AffineVectorGraph.AffineVectorGraph.rotation	(		self,
			angle
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.slope

(

self

)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.tikz_code	(		self,
			pspict = None
	)

def phystricks.src.AffineVectorGraph.AffineVectorGraph.translate	(		self,
			v
	)

Member Data Documentation

phystricks.src.AffineVectorGraph.AffineVectorGraph.F

phystricks.src.AffineVectorGraph.AffineVectorGraph.I

phystricks.src.AffineVectorGraph.AffineVectorGraph.segment

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

• src/AffineVectorGraph.py