+++ /dev/null
-"""Imago geometry module."""
-
-from math import sin, cos, atan, pi
-
-class V(object):
- """Class for vector manipulation."""
-
- def __init__(self, x, y):
- self.x = x
- self.y = y
-
- def __add__(self, other):
- return V(self.x + other.x, self.y + other.y)
-
- def __sub__(self, other):
- return V(self.x - other.x, self.y - other.y)
-
- def __rmul__(self, other):
- return V(other * self.x, other * self.y)
-
- def __len__(self):
- return 2
-
- def __getitem__(self, key):
- if key == 0:
- return self.x
- elif key == 1:
- return self.y
- elif type(key) != int:
- raise TypeError("V indices must be integers")
- else:
- raise KeyError("V index ({}) out of range".format(key))
-
- def __iter__(self):
- yield self.x
- yield self.y
-
- @property
- def normal(self):
- return V(-self.y, self.x)
-
-def projection(p, l, v):
- #TODO what is this?
- return V(*intersection(line(p, p + v.normal), line(*l)))
-
-def l2ad((a, b), size):
- """Represent line as (angle, distance).
-
- Take a line (represented by two points) and image size.
- Return the line represented by its angle and distance
- from the center of the image.
-
- """
- if (a[0] - b[0]) == 0:
- angle = pi / 2
- else:
- q = float(a[1] - b[1]) / (a[0] - b[0])
- angle = atan(q)
-
- if angle < 0:
- angle += pi
- if angle > pi:
- angle -= pi
-
- distance = (((a[0] - (size[0] / 2)) * sin(angle)) +
- ((a[1] - (size[1] / 2)) * - cos(angle)))
- return (angle, distance)
-
-def line(x, y):
- """Return parametric representation of line."""
- a = x[1] - y[1]
- b = y[0] - x[0]
- c = a * y[0] + b * y[1]
- return (a, b, c)
-
-def intersection(p, q):
- """Return intersection of two lines."""
- det = p[0] * q[1] - p[1] * q[0]
- if det == 0:
- return None
- return (int(round(float(q[1] * p[2] - p[1] * q[2]) / det)),
- int(round(float(p[0] * q[2] - q[0] * p[2]) / det)))