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# Copyright 2006-2007 Nanorex, Inc. See LICENSE file for details.
"""
dimensions.py - code to help draw dimensions
$Id$
History:
wware 060324 - created this file
bruce 071030 - split Font3D out of dimensions module (since used in drawer.py)
"""
__author__ = "Will"
import math
import Numeric
from Numeric import dot
from utilities import debug_flags
from geometry.VQT import cross
from geometry.VQT import vlen
from geometry.VQT import norm
from graphics.drawing.CS_draw_primitives import drawline
from graphics.drawing.Font3D import Font3D, WIDTH, HEIGHT
# TODO: WIDTH, HEIGHT should be Font3D attributes [bruce 071030 comment]
class ZeroLengthCylinder(Exception):
pass
class CylindricalCoordinates:
def __init__(self, point0, z, uhint, uhint2):
# u and v and zn are unit vectors
# z is NOT a unit vector
self.p0 = point0
self.p1 = point1 = point0 + z
self.z = z
zlen = vlen(z)
if zlen < 1.0e-6:
raise ZeroLengthCylinder()
self.zinv = 1.0 / zlen
self.zn = zn = norm(z)
u = norm(uhint - (dot(uhint, z) / zlen**2) * z)
if vlen(u) < 1.0e-4:
u = norm(uhint2 - (dot(uhint2, z) / zlen**2) * z)
v = cross(zn, u)
self.u = u
self.v = v
def __repr__(self):
def vecrepr(v):
return "[%g %g %g]" % tuple(v)
return ("<CylindricalCoordinates p0=%s p1=%s\n z=%s u=%s v=%s>" %
(vecrepr(self.p0), vecrepr(self.p1), vecrepr(self.z),
vecrepr(self.u), vecrepr(self.v)))
def rtz(self, pt):
d = pt - self.p0
z = dot(d, self.zn)
d = d - z * self.zn
r = vlen(d)
theta = Numeric.arctan2(dot(d, self.v), dot(d, self.u))
return Numeric.array((r, theta, z), 'd')
def xyz(self, rtz):
r, t, z = rtz
du = (r * math.cos(t)) * self.u
dv = (r * math.sin(t)) * self.v
dz = z * self.z
return self.p0 + du + dv + dz
def drawLine(self, color, rtz1, rtz2, width=1):
drawline(color, self.xyz(rtz1), self.xyz(rtz2), width=width)
def drawArc(self, color, r, theta1, theta2, z,
width=1, angleIncrement = math.pi / 50):
n = int(math.fabs(theta2 - theta1) / angleIncrement + 1)
step = (1.0 * theta2 - theta1) / n
for i in range(n):
t = theta1 + step
self.drawLine(color, (r, theta1, z), (r, t, z), width=width)
theta1 = t
THICKLINEWIDTH = 20
def drawLinearDimension(color, # what color are we drawing this in
right, up, # screen directions mapped to xyz coords
bpos, # position of the handle for moving the text
p0, p1, # positions of the ends of the dimension
text, highlighted=False):
outOfScreen = cross(right, up)
bdiff = bpos - 0.5 * (p0 + p1)
csys = CylindricalCoordinates(p0, p1 - p0, bdiff, right)
# This works OK until we want to keep the text right side up, then the
# criterion for right-side-up-ness changes because we've changed 'up'.
br, bt, bz = csys.rtz(bpos)
e0 = csys.xyz((br + 0.5, 0, 0))
e1 = csys.xyz((br + 0.5, 0, 1))
drawline(color, p0, e0)
drawline(color, p1, e1)
v0 = csys.xyz((br, 0, 0))
v1 = csys.xyz((br, 0, 1))
if highlighted:
drawline(color, v0, v1, width=THICKLINEWIDTH)
else:
drawline(color, v0, v1)
# draw arrowheads at the ends
a1, a2 = 0.25, 1.0 * csys.zinv
arrow00 = csys.xyz((br + a1, 0, a2))
arrow01 = csys.xyz((br - a1, 0, a2))
drawline(color, v0, arrow00)
drawline(color, v0, arrow01)
arrow10 = csys.xyz((br + a1, 0, 1-a2))
arrow11 = csys.xyz((br - a1, 0, 1-a2))
drawline(color, v1, arrow10)
drawline(color, v1, arrow11)
# draw the text for the numerical measurement, make
# sure it goes from left to right
xflip = dot(csys.z, right) < 0
# then make sure it's right side up
theoreticalRight = (xflip and -csys.z) or csys.z
theoreticalOutOfScreen = cross(theoreticalRight, bdiff)
yflip = dot(theoreticalOutOfScreen, outOfScreen) < 0
if debug_flags.atom_debug:
print "DEBUG INFO FROM drawLinearDimension"
print csys
print theoreticalRight, theoreticalOutOfScreen
print xflip, yflip
if yflip:
def fx(y):
return br + 1.5 - y / (1. * HEIGHT)
else:
def fx(y):
return br + 0.5 + y / (1. * HEIGHT)
if xflip:
def fz(x):
return 0.9 - csys.zinv * x / (1. * WIDTH)
else:
def fz(x):
return 0.1 + csys.zinv * x / (1. * WIDTH)
def tfm(x, y, fx=fx, fz=fz):
return csys.xyz((fx(y), 0, fz(x)))
f3d = Font3D()
f3d.drawString(text, tfm=tfm, color=color)
def drawAngleDimension(color, right, up, bpos, p0, p1, p2, text,
minR1=0.0, minR2=0.0, highlighted=False):
z = cross(p0 - p1, p2 - p1)
try:
csys = CylindricalCoordinates(p1, z, up, right)
except ZeroLengthCylinder:
len0 = vlen(p1 - p0)
len2 = vlen(p1 - p2)
# make sure it's really a zero-degree angle
assert len0 > 1.0e-6
assert len2 > 1.0e-6
assert vlen(cross(p1 - p2, p1 - p0)) < 1.0e-6
# For an angle of zero degrees, there is no correct way to
# orient the text, so just draw a line segment
if len0 > len2:
L = len0
end = p0
else:
L = len2
end = p2
Lb = vlen(bpos - p1)
if Lb > L:
L = Lb
end = p1 + (Lb / L) * (end - p1)
drawline(color, p1, end)
return
br, bt, bz = csys.rtz(bpos)
theta1 = csys.rtz(p0)[1]
theta2 = csys.rtz(p2)[1]
if theta2 < theta1 - math.pi:
theta2 += 2 * math.pi
elif theta2 > theta1 + math.pi:
theta2 -= 2 * math.pi
if theta2 < theta1:
theta1, theta2 = theta2, theta1
e0 = csys.xyz((max(vlen(p0 - p1), br, minR1) + 0.5, theta1, 0))
e1 = csys.xyz((max(vlen(p2 - p1), br, minR2) + 0.5, theta2, 0))
drawline(color, p1, e0)
drawline(color, p1, e1)
if highlighted:
csys.drawArc(color, br, theta1, theta2, 0, width=THICKLINEWIDTH)
else:
csys.drawArc(color, br, theta1, theta2, 0)
# draw some arrowheads
e00 = csys.xyz((br, theta1, 0))
e10 = csys.xyz((br, theta2, 0))
dr = 0.25
dtheta = 1 / br
e0a = csys.xyz((br + dr, theta1 + dtheta, 0))
e0b = csys.xyz((br - dr, theta1 + dtheta, 0))
e1a = csys.xyz((br + dr, theta2 - dtheta, 0))
e1b = csys.xyz((br - dr, theta2 - dtheta, 0))
drawline(color, e00, e0a)
drawline(color, e00, e0b)
drawline(color, e10, e1a)
drawline(color, e10, e1b)
midangle = (theta1 + theta2) / 2
tmidpoint = csys.xyz((br + 0.5, midangle, 0))
h = 1.0e-3
textx = norm(csys.xyz((br + 0.5, midangle + h, 0)) - tmidpoint)
texty = norm(csys.xyz((br + 0.5 + h, midangle, 0)) - tmidpoint)
# make sure the text runs from left to right
if dot(textx, right) < 0:
textx = -textx
# make sure the text isn't upside-down
outOfScreen = cross(right, up)
textForward = cross(textx, texty)
if dot(outOfScreen, textForward) < 0:
tmidpoint = csys.xyz((br + 1.5, midangle, 0))
texty = -texty
textxyz = tmidpoint - (0.5 * len(text)) * textx
def tfm(x, y):
x = (x / (1. * WIDTH)) * textx
y = (y / (1. * HEIGHT)) * texty
return textxyz + x + y
f3d = Font3D()
f3d.drawString(text, tfm=tfm, color=color)
def drawDihedralDimension(color, right, up, bpos, p0, p1, p2, p3, text,
highlighted=False):
# Draw a frame of lines that shows how the four atoms are connected
# to the dihedral angle
csys = CylindricalCoordinates(p1, p2 - p1, up, right)
r1, theta1, z1 = csys.rtz(p0)
r2, theta2, z2 = csys.rtz(p3)
e0a = csys.xyz((r1, theta1, 0.5))
e1a = csys.xyz((r2, theta2, 0.5))
drawline(color, p1, p0)
drawline(color, p0, e0a)
drawline(color, p3, e1a)
drawline(color, p2, p3)
drawline(color, p1, p2)
# Use the existing angle drawing routine to finish up
drawAngleDimension(color, right, up, bpos,
e0a, (p1 + p2) / 2, e1a, text,
minR1=r1, minR2=r2, highlighted=highlighted)
# end
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