Geometry.py :  » Development » PyObjC » trunk » pyobjc » PyOpenGL-2.0.2.01 » OpenGL » Demo » dek » OglSurface » Python Open Source

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Python Open Source » Development » PyObjC 
PyObjC » trunk » pyobjc » PyOpenGL 2.0.2.01 » OpenGL » Demo » dek » OglSurface » Geometry.py
# This is statement is required by the build system to query build info
if __name__ == '__build__':
  raise Exception


import Numeric

def vv3(x, y):
  return Numeric.add.reduce(x*y)

def vxv3(a, b):
  return Numeric.array([
    a[1] * b[2] - a[2] * b[1],
    a[2] * b[0] - a[0] * b[2],
    a[0] * b[1] - a[1] * b[0]
    ])

def dist3(x,y):
  return Numeric.sqrt(Numeric.add.reduce((y-x)**2))

def angle(x,y,z):
  d1 = dist3(x,y)
  d2 = dist3(z,y)
  if (d1 <= 0 or d2 <= 0):
    return 0.0

  acc = Numeric.add.reduce((y-x) * (y-z)) / (d1*d2)

  if (acc > 1):
    acc = 1.
  elif (acc < -1):
    acc = -1.

  return Numeric.arccos(acc)

def dihedral(crds):
  q = crds[1] - crds[0]
  r = crds[1] - crds[2]
  s = crds[2] - crds[3]

  t = vxv3(q, r)
  u = vxv3(s, r)
  v = vxv3(u, t)

  w = vv3(v, r)
  z = Numeric.zeros(3, Numeric.Float)
  acc = angle(t, z, u)
  ang = acc / Numeric.pi * 180.

  if (w < 0):
    ang = 360-ang

  return ang
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