pcb.py 257 KB
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#!/usr/bin/env python
#
# pcb.py
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#    functional representation PCB template
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#
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# usage:
#    pcb.py | frep.py [dpi [filename]]
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#
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# Neil Gershenfeld 12/1/19
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# (c) Massachusetts Institute of Technology 2019
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#
# This work may be reproduced, modified, distributed,
# performed, and displayed for any purpose, but must
# acknowledge this project. Copyright is retained and
# must be preserved. The work is provided as is; no
# warranty is provided, and users accept all liability.
#

#
# uncomment for desired output:
#

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output = "top, labels, and exterior"
#output = "top, labels, holes, and exterior"
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#output = "top, bottom, labels, and exterior"
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#output = "top, bottom, labels, holes, and exterior"
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#output = "top traces"
#output = "top traces and exterior"
#output = "bottom traces reversed"
#output = "bottom traces reversed and exterior"
#output = "holes"
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#output = "interior"
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#output = "holes and interior"
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#output = "exterior"
#output = "solder mask"

#
# import
#

import math,json,sys

#
# define shapes and transformations
#

# color(color,part)
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# circle(x,y,r)
# cylinder(x,y,z0,z1,r)
# cone(x,y,z0,z1,r)
# sphere(x,y,z,r)
# torus(x,y,z,r0,r1)
# rectangle(x0,x1,y0,y1)
# cube(x0,x1,y0,y1,z0,z1)
# line(x0,y0,x1,y1,z,width)
# right_triangle(x,y,h)
# triangle(x0,y0,x1,y1,x2,y2) (points in clockwise order)
# pyramid(x0,x1,y0,y1,z0,z1)
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# function(Z_of_XY)
# functions(upper_Z_of_XY,lower_Z_of_XY)
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# add(part1,part2)
# subtract(part1,part2)
# intersect(part1,part2)
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# move(part,dx,dy)
# translate(part,dx,dy,dz)
# rotate(part, angle)
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# rotate_x(part,angle)
# rotate_y(part,angle)
# rotate_z(part,angle)
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# rotate_90(part)
# rotate_180(part)
# rotate_270(part)
# reflect_x(part,x0)
# reflect_y(part,y0)
# reflect_z(part,z0)
# reflect_xy(part)
# reflect_xz(part)
# reflect_yz(part)
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# scale_x(part,x0,sx)
# scale_y(part,y0,sy)
# scale_z(part,z0,sz)
# scale_xy(part,x0,y0,sxy)
# scale_xyz(part,x0,y0,z0,sxyz)
# coscale_x_y(part,x0,y0,y1,angle0,angle1,amplitude,offset)
# coscale_x_z(part,x0,z0 z1,angle0,angle1,amplitude,offset)
# coscale_xy_z(part,x0,y0,z0,z1,angle0,angle1,amplitude,offset)
# taper_x_y(part,x0,y0,y1,s0,s1)
# taper_x_z(part,x0,z0,z1,s0,s1)
# taper_xy_z(part,x0,y0,z0,z1,s0,s1)
# shear_x_y(part,y0,y1,dx0,dx1)
# shear_x_z(part,z0,z1,dx0,dx1)
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true = "1"
false = "0"

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def color(color,part):
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   part = '('+str(color)+'*(('+part+')!=0))'
   return part

Red = (225 << 0)
Green = (225 << 8)
Blue = (225 << 16)
Gray = (128 << 16) + (128 << 8) + (128 << 0)
White = (255 << 16) + (255 << 8) + (255 << 0)
Teal = (255 << 16) + (255 << 8)
Pink = (255 << 16) + (255 << 0)
Yellow = (255 << 8) + (255 << 0)
Brown = (45 << 16) + (82 << 8) + (145 << 0)
Navy = (128 << 16) + (0 << 8) + (0 << 0)
Tan = (60 << 16) + (90 << 8) + (125 << 0)

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def circle(x0,y0,r):
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   part = "(((X-(x0))*(X-(x0)) + (Y-(y0))*(Y-(y0))) <= (r*r))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('r',str(r))
   return part

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def cylinder(x0,y0,z0,z1,r):
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   part = "(((X-(x0))*(X-(x0)) + (Y-(y0))*(Y-(y0)) <= (r*r)) & (Z >= (z0)) & (Z <= (z1)))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('r',str(r))
   return part

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def cone(x0,y0,z0,z1,r0):
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   part = cylinder(x0, y0, z0, z1, r0)
   part = taper_xy_z(part, x0, y0, z0, z1, 1.0, 0.0)
   return part

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def sphere(x0,y0,z0,r):
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   part = "(((X-(x0))*(X-(x0)) + (Y-(y0))*(Y-(y0)) + (Z-(z0))*(Z-(z0))) <= (r*r))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('r',str(r))
   return part

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def torus(x0,y0,z0,r0,r1):
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   part = "(((r0 - sqrt((X-(x0))*(X-(x0)) + (Y-(y0))*(Y-(y0))))*(r0 - sqrt((X-(x0))*(X-(x0)) + (Y-(y0))*(Y-(y0))) + (Z-(z0))*(Z-(z0))) <= (r1*r1))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('r0',str(r0))
   part = part.replace('r1',str(r1))
   return part

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def rectangle(x0,x1,y0,y1):
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   part = "((X >= (x0)) & (X <= (x1)) & (Y >= (y0)) & (Y <= (y1)))"
   part = part.replace('x0',str(x0))
   part = part.replace('x1',str(x1))
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   return part

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def cube(x0,x1,y0,y1,z0,z1):
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   part = "((X >= (x0)) & (X <= (x1)) & (Y >= (y0)) & (Y <= (y1)) & (Z >= (z0)) & (Z <= (z1)))"
   part = part.replace('x0',str(x0))
   part = part.replace('x1',str(x1))
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   return part

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def line(x0,y0,x1,y1,z,width):
   dx = x1-x0
   dy = y1-y0
   l = math.sqrt(dx*dx+dy*dy)
   nx = dx/l
   ny = dy/l
   rx = -ny
   ry = nx
   part = "((((X-(x0))*(nx)+(Y-(y0))*(ny)) >= 0) & (((X-(x0))*(nx)+(Y-(y0))*(ny)) <= l) & (((X-(x0))*(rx)+(Y-(y0))*(ry)) >= (-width/2)) & (((X-(x0))*(rx)+(Y-(y0))*(ry)) <= (width/2)) & (Z == z))"
   part = part.replace('x0',str(x0))
   part = part.replace('x1',str(x1))
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   part = part.replace('nx',str(nx))
   part = part.replace('ny',str(ny))
   part = part.replace('rx',str(rx))
   part = part.replace('ry',str(ry))
   part = part.replace('l',str(l))
   part = part.replace('z',str(z))
   part = part.replace('width',str(width))
   return part

def right_triangle(x0,y0,l):
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   part = "((X > x0) & (X < x0 + l - (Y-y0)) & (Y > y0))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('l',str(l))
   return part

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def triangle(x0,y0,x1,y1,x2,y2): # points in clockwise order
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   part = "(((((y1)-(y0))*(X-(x0))-((x1)-(x0))*(Y-(y0))) >= 0) & ((((y2)-(y1))*(X-(x1))-((x2)-(x1))*(Y-(y1))) >= 0) & ((((y0)-(y2))*(X-(x2))-((x0)-(x2))*(Y-(y2))) >= 0))"
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('x1',str(x1))
   part = part.replace('y1',str(y1))
   part = part.replace('x2',str(x2))
   part = part.replace('y2',str(y2))
   return part

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def pyramid(x0,x1,y0,y1,z0,z1):
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   part = cube(x0, x1, y0, y1, z0, z1)
   part = taper_xy_z(part, (x0+x1)/2., (y0+y1)/2., z0, z1, 1.0, 0.0)
   return part

def function(Z_of_XY):
   part = '(Z <= '+Z_of_XY+')'
   return part

def functions(upper_Z_of_XY,lower_Z_of_XY):
   part = '(Z <= '+upper_Z_of_XY+') & (Z >= '+lower_Z_of_XY+')'
   return part

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def add(part1,part2):
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   part = "part1 | part2"
   part = part.replace('part1',part1)
   part = part.replace('part2',part2)
   return part

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def subtract(part1,part2):
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   part = "(part1) & ~(part2)"
   part = part.replace('part1',part1)
   part = part.replace('part2',part2)
   return part

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def intersect(part1,part2):
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   part = "(part1) & (part2)"
   part = part.replace('part1',part1)
   part = part.replace('part2',part2)
   return part

def move(part,dx,dy):
   part = part.replace('X','(X-('+str(dx)+'))')
   part = part.replace('Y','(Y-('+str(dy)+'))')
   return part   

def translate(part,dx,dy,dz):
   part = part.replace('X','(X-('+str(dx)+'))')
   part = part.replace('Y','(Y-('+str(dy)+'))')
   part = part.replace('Z','(Z-('+str(dz)+'))')
   return part   

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def rotate(part,angle):
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   angle = angle*math.pi/180
   part = part.replace('X','(math.cos(angle)*X+math.sin(angle)*y)')
   part = part.replace('Y','(-math.sin(angle)*X+math.cos(angle)*y)')
   part = part.replace('y','Y')
   part = part.replace('angle',str(angle))
   return part

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def rotate_x(part,angle):
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   angle = angle*math.pi/180
   part = part.replace('Y','(math.cos(angle)*Y+math.sin(angle)*z)')
   part = part.replace('Z','(-math.sin(angle)*Y+math.cos(angle)*z)')
   part = part.replace('z','Z')
   part = part.replace('angle',str(angle))
   return part

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def rotate_y(part,angle):
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   angle = angle*math.pi/180
   part = part.replace('X','(math.cos(angle)*X+math.sin(angle)*z)')
   part = part.replace('Z','(-math.sin(angle)*X+math.cos(angle)*z)')
   part = part.replace('z','Z')
   part = part.replace('angle',str(angle))
   return part

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def rotate_z(part,angle):
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   angle = angle*math.pi/180
   part = part.replace('X','(math.cos(angle)*X+math.sin(angle)*y)')
   part = part.replace('Y','(-math.sin(angle)*X+math.cos(angle)*y)')
   part = part.replace('y','Y')
   part = part.replace('angle',str(angle))
   return part

def rotate_90(part):
   part = reflect_y(part,0)
   part = reflect_xy(part)
   return part

def rotate_180(part):
   part = rotate_90(part)
   part = rotate_90(part)
   return part

def rotate_270(part):
   part = rotate_90(part)
   part = rotate_90(part)
   part = rotate_90(part)
   return part

def reflect_x(part,x0):
   part = part.replace('X','(x0-X)')
   part = part.replace('x0',str(x0))
   return part

def reflect_y(part,y0):
   part = part.replace('Y','(y0-Y)')
   part = part.replace('y0',str(y0))
   return part

def reflect_z(part,z0):
   part = part.replace('Z','(z0-Z)')
   part = part.replace('z0',str(z0))
   return part

def reflect_xy(part):
   part = part.replace('X','temp')
   part = part.replace('Y','X')
   part = part.replace('temp','Y')
   return part

def reflect_xz(part):
   part = part.replace('X','temp')
   part = part.replace('Z','X')
   part = part.replace('temp','Z')
   return part

def reflect_yz(part):
   part = part.replace('Y','temp')
   part = part.replace('Z','Y')
   part = part.replace('temp','Z')
   return part

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def scale_x(part,x0,sx):
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   part = part.replace('X','((x0) + (X-(x0))/(sx))')
   part = part.replace('x0',str(x0))
   part = part.replace('sx',str(sx))
   return part

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def scale_y(part,y0,sy):
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   part = part.replace('Y','((y0) + (Y-(y0))/(sy))')
   part = part.replace('y0',str(y0))
   part = part.replace('sy',str(sy))
   return part

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def scale_z(part,z0,sz):
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   part = part.replace('Z','((z0) + (Z-(z0))/(sz))')
   part = part.replace('z0',str(z0))
   part = part.replace('sz',str(sz))
   return part

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def scale_xy(part,x0,y0,sxy):
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   part = part.replace('X','((x0) + (X-(x0))/(sxy))')
   part = part.replace('Y','((y0) + (Y-(y0))/(sxy))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('sxy',str(sxy))
   return part

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def scale_xyz(part,x0,y0,z0,sxyz):
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   part = part.replace('X','((x0) + (X-(x0))/(sxyz))')
   part = part.replace('Y','((y0) + (Y-(y0))/(sxyz))')
   part = part.replace('Z','((z0) + (Z-(z0))/(sxyz))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('sxyz',str(sxyz))
   return part

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def coscale_x_y(part,x0,y0,y1,angle0,angle1,amplitude,offset):
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   phase0 = math.pi*angle0/180.
   phase1 = math.pi*angle1/180.
   part = part.replace('X','((x0) + (X-(x0))/((offset) + (amplitude)*math.cos((phase0) + ((phase1)-(phase0))*(Y-(y0))/((y1)-(y0)))))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   part = part.replace('phase0',str(phase0))
   part = part.replace('phase1',str(phase1))
   part = part.replace('amplitude',str(amplitude))
   part = part.replace('offset',str(offset))
   return part

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def coscale_x_z(part,x0,z0,z1,angle0,angle1,amplitude,offset):
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   phase0 = math.pi*angle0/180.
   phase1 = math.pi*angle1/180.
   part = part.replace('X','((x0) + (X-(x0))/((offset) + (amplitude)*math.cos((phase0) + ((phase1)-(phase0))*(Z-(z0))/((z1)-(z0)))))')
   part = part.replace('x0',str(x0))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('phase0',str(phase0))
   part = part.replace('phase1',str(phase1))
   part = part.replace('amplitude',str(amplitude))
   part = part.replace('offset',str(offset))
   return part

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def coscale_xy_z(part,x0,y0,z0,z1,angle0,angle1,amplitude,offset):
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   phase0 = math.pi*angle0/180.
   phase1 = math.pi*angle1/180.
   part = part.replace('X','((x0) + (X-(x0))/((offset) + (amplitude)*math.cos((phase0) + ((phase1)-(phase0))*(Z-(z0))/((z1)-(z0)))))')
   part = part.replace('Y','((y0) + (Y-(y0))/((offset) + (amplitude)*math.cos((phase0) + ((phase1)-(phase0))*(Z-(z0))/((z1)-(z0)))))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('phase0',str(phase0))
   part = part.replace('phase1',str(phase1))
   part = part.replace('amplitude',str(amplitude))
   part = part.replace('offset',str(offset))
   return part

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def taper_x_y(part,x0,y0,y1,s0,s1):
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   part = part.replace('X','((x0) + (X-(x0))*((y1)-(y0))/((s1)*(Y-(y0)) + (s0)*((y1)-Y)))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   part = part.replace('s0',str(s0))
   part = part.replace('s1',str(s1))
   return part

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def taper_x_z(part,x0,z0,z1,s0,s1):
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   part = part.replace('X','((x0) + (X-(x0))*((z1)-(z0))/((s1)*(Z-(z0)) + (s0)*((z1)-Z)))')
   part = part.replace('x0',str(x0))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('s0',str(s0))
   part = part.replace('s1',str(s1))
   return part

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def taper_xy_z(part,x0,y0,z0,z1,s0,s1):
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   part = part.replace('X','((x0) + (X-(x0))*((z1)-(z0))/((s1)*(Z-(z0)) + (s0)*((z1)-Z)))')
   part = part.replace('Y','((y0) + (Y-(y0))*((z1)-(z0))/((s1)*(Z-(z0)) + (s0)*((z1)-Z)))')
   part = part.replace('x0',str(x0))
   part = part.replace('y0',str(y0))
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('s0',str(s0))
   part = part.replace('s1',str(s1))
   return part

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def shear_x_y(part,y0,y1,dx0,dx1):
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   part = part.replace('X','(X - (dx0) - ((dx1)-(dx0))*(Y-(y0))/((y1)-(y0)))')
   part = part.replace('y0',str(y0))
   part = part.replace('y1',str(y1))
   part = part.replace('dx0',str(dx0))
   part = part.replace('dx1',str(dx1))
   return part

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def shear_x_z(part,z0,z1,dx0,dx1):
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   part = part.replace('X','(X - (dx0) - ((dx1)-(dx0))*(Z-(z0))/((z1)-(z0)))')
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('dx0',str(dx0))
   part = part.replace('dx1',str(dx1))
   return part

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def coshear_x_z(part,z0,z1,angle0,angle1,amplitude,offset):
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   phase0 = math.pi*angle0/180.
   phase1 = math.pi*angle1/180.
   part = part.replace('X','(X - (offset) - (amplitude)*math.cos((phase0) + ((phase1)-(phase0))*(Z-(z0))/((z1)-(z0))))')
   part = part.replace('z0',str(z0))
   part = part.replace('z1',str(z1))
   part = part.replace('phase0',str(phase0))
   part = part.replace('phase1',str(phase1))
   part = part.replace('amplitude',str(amplitude))
   part = part.replace('offset',str(offset))
   return part

#
# text classes and definitions
#

class text:
   #
   # text class
   #
   def __init__(self,text,x,y,z,line='',height='',width='',space='',align='CC',color=White,angle=0):
      #
      # parameters
      #
      if (line == ''):
         line = 1
      if (height == ''):
         height = 6*line
      if (width == ''):
         width = 4*line
      if (space == ''):
         space = line/2.0
      self.width = 0
      self.height = 0
      self.text = text
      #
      # construct shape dictionary
      #
      shapes = {}
      shape = triangle(0,0,width/2.0,height,width,0)
      cutout = triangle(0,-2.5*line,width/2.0,height-2.5*line,width,-2.5*line)
      cutout = subtract(cutout,rectangle(0,width,height/4-line/2,height/4+line/2))
      shape = subtract(shape,cutout)
      shapes['A'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/4))
      shape = add(shape,rectangle(width-line,width,0,height/3))
      shapes['a'] = shape
      shape = rectangle(0,width-height/4,0,height)
      shape = add(shape,circle(width-height/4,height/4,height/4))
      shape = add(shape,circle(width-height/4,3*height/4,height/4))
      w = height/2-1.5*line
      shape = subtract(shape,rectangle(line,line+w/1.5,height/2+line/2,height-line))
      shape = subtract(shape,circle(line+w/1.5,height/2+line/2+w/2,w/2))
      shape = subtract(shape,rectangle(line,line+w/1.5,line,height/2-line/2))
      shape = subtract(shape,circle(line+w/1.5,height/2-line/2-w/2,w/2))
      shapes['B'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/4))
      shape = add(shape,rectangle(0,line,0,height))
      shapes['b'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = add(shape,circle(width/2,height-width/2,width/2))
      shape = add(shape,rectangle(0,width,line+w/2,height-line-w/2))
      w = width-2*line
      shape = subtract(shape,circle(width/2,line+w/2,w/2))
      shape = subtract(shape,circle(width/2,height-line-w/2,w/2))
      shape = subtract(shape,rectangle(line,width,line+w/2,height-line-w/2))
      shapes['C'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/4))
      shape = subtract(shape,rectangle(width/2,width,width/2-line/1.5,width/2+line/1.5))
      shapes['c'] = shape
      shape = circle(line,width-line,width-line)
      shape = subtract(shape,circle(line,width-line,width-2*line))
      shape = subtract(shape,rectangle(-width,line,0,height))
      shape = scale_y(shape,0,height/(2*(width-line)))
      shape = add(shape,rectangle(0,line,0,height))
      shapes['D'] = shape
      shape = rectangle(width-line,width,0,height)
      shape = add(shape,circle(width/2,width/2,width/2))
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shapes['d'] = shape
      shape = rectangle(0,line,0,height)
      shape = add(shape,rectangle(0,width,height-line,height))
      shape = add(shape,rectangle(0,2*width/3,height/2-line/2,height/2+line/2))
      shape = add(shape,rectangle(0,width,0,line))      
      shapes['E'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,triangle(width,0,width/2,width/2-line/2,width,width/2-line/2))
      shape = add(shape,rectangle(0,width,width/2-line/2,width/2+line/2))
      shapes['e'] = shape
      shape = rectangle(0,line,0,height)
      shape = add(shape,rectangle(0,width,height-line,height))
      shape = add(shape,rectangle(0,2*width/3,height/2-line/2,height/2+line/2))
      shapes['F'] = shape
      shape = circle(width-line/2,height-width/2,width/2)
      shape = subtract(shape,circle(width-line/2,height-width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width-line/2,0,height-width/2))
      shape = subtract(shape,rectangle(width-line/2,2*width,0,height))
      shape = add(shape,rectangle(width/2-line/2,width/2+line/2,0,height-width/2))
      shape = add(shape,rectangle(width/5,4*width/5,height/2-line/2,height/2+line/2))
      shapes['f'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = add(shape,circle(width/2,height-width/2,width/2))
      shape = add(shape,rectangle(0,width,line+w/2,height-line-w/2))
      w = width-2*line
      shape = subtract(shape,circle(width/2,line+w/2,w/2))
      shape = subtract(shape,circle(width/2,height-line-w/2,w/2))
      shape = subtract(shape,rectangle(line,width,line+w/2,height-line-w/2))
      shape = add(shape,rectangle(width/2,width,line+w/2,2*line+w/2))
      shapes['G'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      w = height/3-width/2
      shape = add(shape,rectangle(width-line,width,w,width))
      shape = add(shape,subtract(subtract(circle(width/2,w,width/2),circle(width/2,w,width/2-line)),rectangle(0,width,w,height)))
      shapes['g'] = shape
      shape = rectangle(0,line,0,height)
      shape = add(shape,rectangle(width-line,width,0,height))
      shape = add(shape,rectangle(0,width,height/2-line/2,height/2+line/2))
      shapes['H'] = shape
      w = width/2
      shape = circle(width/2,w,width/2)
      shape = subtract(shape,circle(width/2,w,width/2-line))
      shape = subtract(shape,rectangle(0,width,0,w))
      shape = add(shape,rectangle(0,line,0,height))
      shape = add(shape,rectangle(width-line,width,0,w))
      shapes['h'] = shape
      shape = rectangle(width/2-line/2,width/2+line/2,0,height)
      shape = add(shape,rectangle(width/5,4*width/5,0,line))
      shape = add(shape,rectangle(width/5,4*width/5,height-line,height))
      shapes['I'] = shape
      shape = rectangle(width/2-line/2,width/2+line/2,0,height/2)
      shape = add(shape,circle(width/2,3*height/4,.6*line))
      shapes['i'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width,width/2,height))
      shape = add(shape,rectangle(width-line,width,width/2,height))
      shapes['J'] = shape
      w = height/3-width/2
      shape = rectangle(width/2-line/2,width/2+line/2,w,height/2)
      shape = add(shape,subtract(subtract(subtract(circle(width/4-line/2,w,width/2),circle(width/4-line/2,w,width/2-line)),rectangle(0,width,w,height)),rectangle(-width,width/4-line/2,-height/3,height)))
      shape = add(shape,circle(width/2,3*height/4,.6*line))
      shapes['j'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(line,height,width-1.1*line,height,line,height/2+.5*line))
      shape = subtract(shape,triangle(width,0,line+0.8*line,height/2,width,height))
      shape = subtract(shape,triangle(line,0,line,height/2-.5*line,width-1.1*line,0))
      shapes['K'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,rectangle(line,width,2*height/3,height))
      shape = subtract(shape,triangle(line,2*height/3,width-1.3*line,2*height/3,line,height/3+.5*line))
      shape = subtract(shape,triangle(width,0,line+0.8*line,height/3,width,2*height/3))
      shape = subtract(shape,triangle(line,0,line,height/3-0.5*line,width-1.3*line,0))
      shapes['k'] = shape
      shape = rectangle(0,line,0,height)
      shape = add(shape,rectangle(0,width,0,line))
      shapes['L'] = shape
      shape = rectangle(width/2-line/2,width/2+line/2,0,height)
      shapes['l'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(line,0,line,height-3*line,width/2-line/3,0))
      shape = subtract(shape,triangle(line,height,width-line,height,width/2,1.5*line))
      shape = subtract(shape,triangle(width/2+line/3,0,width-line,height-3*line,width-line,0))
      shapes['M'] = shape
      w = width/2
      l = 1.3*line
      shape = circle(width/2,w,width/2)
      shape = subtract(shape,circle(width/2,w,width/2-l))
      shape = subtract(shape,rectangle(0,width,0,w))
      shape = add(shape,rectangle(width-l,width,0,w))
      shape = add(shape,move(shape,width-l,0))
      shape = add(shape,rectangle(0,l,0,width))
      shape = scale_x(shape,0,width/(2*width-l))
      shapes['m'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(line,height+1.5*line,width-line,height+1.5*line,width-line,1.5*line))
      shape = subtract(shape,triangle(line,-1.5*line,line,height-1.5*line,width-line,-1.5*line))
      shapes['N'] = shape
      w = width/2
      shape = circle(width/2,w,width/2)
      shape = subtract(shape,circle(width/2,w,width/2-line))
      shape = subtract(shape,rectangle(0,width,0,w))
      shape = add(shape,rectangle(0,line,0,width))
      shape = add(shape,rectangle(width-line,width,0,w))
      shapes['n'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = add(shape,circle(width/2,height-width/2,width/2))
      shape = add(shape,rectangle(0,width,line+w/2,height-line-w/2))
      w = width-2*line
      shape = subtract(shape,circle(width/2,line+w/2,w/2))
      shape = subtract(shape,circle(width/2,height-line-w/2,w/2))
      shape = subtract(shape,rectangle(line,width-line,line+w/2,height-line-w/2))
      shapes['O'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shapes['o'] = shape
      shape = rectangle(0,line,0,height)
      w = 2*height/3
      shape = add(shape,circle(width-w/2,height-w/2,w/2))
      shape = add(shape,rectangle(0,width-w/2,height-w,height))
      shape = subtract(shape,circle(width-w/2,height-w/2,w/2-line))
      shape = subtract(shape,rectangle(line,width-w/2,height-w+line,height-line))
      shapes['P'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/4))
      shape = add(shape,rectangle(0,line,-height/3,width))
      shapes['p'] = shape
      shape = subtract(circle(width/2,width/2,width/2),circle(width/2,width/2,width/2-.9*line))
      shape = scale_y(shape,0,height/width)
      shape = add(shape,move(rotate(rectangle(-line/2,line/2,-width/4,width/4),30),3*width/4,width/4))
      shapes['Q'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = add(shape,rectangle(width-line,width,-height/3,width))
      shapes['q'] = shape
      shape = rectangle(0,line,0,height)
      w = 2*height/3
      shape = add(shape,circle(width-w/2,height-w/2,w/2))
      shape = add(shape,rectangle(0,width-w/2,height-w,height))
      shape = subtract(shape,circle(width-w/2,height-w/2,w/2-line))
      shape = subtract(shape,rectangle(line,width-w/2,height-w+line,height-line))
      leg = triangle(line,0,line,height,width,0)
      leg = subtract(leg,triangle(line,-2.0*line,line,height-2.0*line,width,-2.0*line))
      leg = subtract(leg,rectangle(0,width,height/3,height))
      shape = add(shape,leg)
      shapes['R'] = shape
      shape = circle(width,0,width)
      shape = subtract(shape,circle(width,0,width-line))
      shape = subtract(shape,rectangle(.8*width,2*width,-height,height))
      shape = subtract(shape,rectangle(0,2*width,-height,0))
      shape = add(shape,rectangle(0,line,0,width))
      shapes['r'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width/2,width/2,width))
      shape = add(shape,move(reflect_y(reflect_x(shape,width),width),0,width-line))
      shape = scale_y(shape,0,height/(2*width-line))
      shapes['S'] = shape
      w = width/3
      shape = circle(w,w,w)
      shape = subtract(shape,circle(w,w,w-.9*line))
      shape = subtract(shape,rectangle(0,w,w,2*w))
      shape = add(shape,move(reflect_y(reflect_x(shape,2*w),2*w),0,2*w-.9*line))
      shape = scale_y(shape,0,(2*height/3)/(4*w-.9*line))
      shape = move(shape,(width/2)-w,0)
      shapes['s'] = shape
      shape = rectangle(width/2-line/2,width/2+line/2,0,height)
      shape = add(shape,rectangle(0,width,height-line,height))
      shapes['T'] = shape
      shape = circle(0,3*width/8,3*width/8)
      shape = subtract(shape,circle(0,3*width/8,3*width/8-line))
      shape = subtract(shape,rectangle(-width,width,3*width/8,height))
      shape = subtract(shape,rectangle(0,width,-height,height))
      shape = move(shape,width/2-line/2+3*width/8,0)
      shape = add(shape,rectangle(width/2-line/2,width/2+line/2,width/4,3*height/4))
      shape = add(shape,rectangle(width/5,4*width/5,height/2-line/2,height/2+line/2))
      shapes['t'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width,width/2,height))
      shape = add(shape,rectangle(0,line,width/2,height))
      shape = add(shape,rectangle(width-line,width,width/2,height))
      shapes['U'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width,width/2,height))
      shape = add(shape,rectangle(0,line,width/2,2*height/3))
      shape = add(shape,rectangle(width-line,width,0,2*height/3))
      shapes['u'] = shape
      shape = triangle(0,height,width,height,width/2,0)
      shape = subtract(shape,triangle(0,height+3*line,width,height+3*line,width/2,3*line))
      shapes['V'] = shape
      w = 2*height/3.0
      shape = triangle(0,w,width,w,width/2,0)
      shape = subtract(shape,triangle(0,w+2*line,width,w+2*line,width/2,2*line))
      shapes['v'] = shape
      shape = triangle(0,height,width,height,width/2,0)
      shape = add(shape,move(shape,.6*width,0))
      cutout = triangle(0,height+4*line,width,height+4*line,width/2,4*line)
      cutout = add(cutout,move(cutout,.6*width,0))
      shape = subtract(shape,cutout)
      shape = scale_x(shape,0,1/1.6)
      shapes['W'] = shape
      shape = scale_y(shapes['W'],0,width/height)
      shapes['w'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(0,0,0,height,width/2-.7*line,height/2))
      shape = subtract(shape,triangle(width,0,width/2+.7*line,height/2,width,height))
      shape = subtract(shape,triangle(1.1*line,height,width-1.1*line,height,width/2,height/2+line))
      shape = subtract(shape,triangle(1.1*line,0,width/2,height/2-line,width-1.1*line,0))
      shapes['X'] = shape
      w = 2*height/3.0
      shape = rectangle(0,width,0,w)
      shape = subtract(shape,triangle(0,0,0,w,width/2-.75*line,w/2))
      shape = subtract(shape,triangle(width,0,width/2+.75*line,w/2,width,w))
      shape = subtract(shape,triangle(1.25*line,0,width/2,w/2-.75*line,width-1.25*line,0))
      shape = subtract(shape,triangle(1.25*line,w,width-1.25*line,w,width/2,w/2+.75*line))
      shapes['x'] = shape
      w = height/2
      shape = rectangle(0,width,w,height)
      shape = subtract(shape,triangle(0,w,0,height,width/2-line/2,w))
      shape = subtract(shape,triangle(width/2+line/2,w,width,height,width,w))
      shape = subtract(shape,triangle(1.1*line,height,width-1.1*line,height,width/2,w+1.1*line))
      shape = add(shape,rectangle(width/2-line/2,width/2+line/2,0,w))
      shapes['Y'] = shape
      shape = rectangle(0,width,-height/3,width)
      shape = subtract(shape,triangle(0,-height/3,0,width,width/2-.9*line,0))
      shape = subtract(shape,triangle(1.1*line,width,width-1.1*line,width,width/2-.2*line,1.6*line))
      shape = subtract(shape,triangle(1.2*line,-height/3,width,width,width,-height/3))
      shapes['y'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(0,line,0,height-line,width-1.4*line,height-line))
      shape = subtract(shape,triangle(1.4*line,line,width,height-line,width,line))
      shapes['Z'] = shape
      w = 2*height/3
      shape = rectangle(0,width,0,w)
      shape = subtract(shape,triangle(0,line,0,w-line,width-1.6*line,w-line))
      shape = subtract(shape,triangle(width,line,1.6*line,line,width,w-line))
      shapes['z'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-.9*line))
      shape = scale_y(shape,0,height/width)
      shapes['0'] = shape
      shape = rectangle(width/2-line/2,width/2+line/2,0,height)
      w = width/2-line/2
      cutout = circle(0,height,w)
      shape = add(shape,rectangle(0,width/2,height-w-line,height))
      shape = subtract(shape,cutout)
      shape = move(shape,(width/2+line/2)/4,0)
      shapes['1'] = shape
      shape = circle(width/2,height-width/2,width/2)
      shape = subtract(shape,circle(width/2,height-width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width/2,0,height-width/2))
      shape = add(shape,rectangle(0,width,0,height-width/2))
      shape = subtract(shape,triangle(0,line,0,height-width/2,width-line,height-width/2))
      shape = subtract(shape,triangle(1.5*line,line,width,height-width/2-.5*line,width,line))
      shapes['2'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = scale_y(shape,0,(height/2+line/2)/width)
      shape = add(shape,move(shape,0,height/2-line/2))
      shape = subtract(shape,rectangle(0,width/2,height/4,3*height/4))
      shapes['3'] = shape
      shape = rectangle(width-line,width,0,height)
      shape = add(shape,triangle(0,height/3,width-line,height,width-line,height/3))
      shape = subtract(shape,triangle(1.75*line,height/3+line,width-line,height-1.5*line,width-line,height/3+line))
      shapes['4'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width/2,width/2,width))
      shape = add(shape,rectangle(0,width/2,width-line,width))
      shape = add(shape,rectangle(0,line,width-line,height))
      shape = add(shape,rectangle(0,width,height-line,height))
      shapes['5'] = shape
      shape = circle(width/2,height-width/2,width/2)
      shape = subtract(shape,circle(width/2,height-width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width,0,height-width/2))
      shape = subtract(shape,triangle(width,height,width,height/2,width/2,height/2))
      shape = add(shape,circle(width/2,width/2,width/2))
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = add(shape,rectangle(0,line,width/2,height-width/2))
      shapes['6'] = shape
      shape = rectangle(0,width,0,height)
      shape = subtract(shape,triangle(0,0,0,height-line,width-line,height-line))
      shape = subtract(shape,triangle(line,0,width,height-line,width,0))
      shapes['7'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = scale_y(shape,0,(height/2+line/2)/width)
      shape = add(shape,move(shape,0,height/2-line/2))
      shapes['8'] = shape
      shape = circle(width/2,width/2,width/2)
      shape = subtract(shape,circle(width/2,width/2,width/2-line))
      shape = subtract(shape,rectangle(0,width,width/2,height))
      shape = subtract(shape,triangle(0,0,0,height/2,width/2,height/2))
      shape = add(shape,circle(width/2,height-width/2,width/2))
      shape = subtract(shape,circle(width/2,height-width/2,width/2-line))
      shape = add(shape,rectangle(width-line,width,width/2,height-width/2))
      shapes['9'] = shape
      w = width/2
      shape = circle(w,w,w)
      shape = subtract(shape,circle(w,w,w-line))
      shape = subtract(shape,rectangle(w,width,0,height))
      shape = scale_y(shape,0,height/width)
      shape = move(shape,w/2,0)
      shapes['('] = shape
      shape = reflect_x(shape,width)
      shapes[')'] = shape
      shapes[' '] = false
      shape = rectangle(width/2-width/3,width/2+width/3,height/2-line/2,height/2+line/2)
      shape = add(shape,rectangle(width/2-line/2,width/2+line/2,height/2-width/3,height/2+width/3))
      shapes['+'] = shape
      shape = rectangle(width/2-width/3,width/2+width/3,height/2-line/2,height/2+line/2)
      shapes['-'] = shape
      shape = circle(width/2,line,.75*line)
      shapes['.'] = shape
      shape = rectangle(0,width,0,height)
      d = .8*line
      shape = subtract(shape,triangle(d,0,width,height-d,width,0))
      shape = subtract(shape,triangle(0,d,0,height,width-d,height))
      shapes['/'] = shape
      #
      # to be done
      #
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      shapes['*'] = shape
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      shapes['~'] = shape
      shapes['!'] = shape
      shapes['@'] = shape
      shapes['#'] = shape
      shapes['$'] = shape
      shapes['%'] = shape
      shapes['^'] = shape
      shapes['&'] = shape
      shapes['&'] = shape
      shapes['_'] = shape
      shapes['='] = shape
      shapes['['] = shape
      shapes['{'] = shape
      shapes[']'] = shape
      shapes['}'] = shape
      shapes[';'] = shape
      shapes[':'] = shape
      shapes["'"] = shape
      shapes['"'] = shape
      shapes[','] = shape
      shapes['<'] = shape
      shapes['>'] = shape
      shapes['?'] = shape
      #
      # add a line to text shape
      #
      def addline(lineshape):
         #
         # LR align
         #
         if (align[0] == 'C'):
            lineshape = move(lineshape,-self.width/2.0,0)
         elif (align[0] == 'R'):
            lineshape = move(lineshape,-self.width,0)
         #
         # add
         #
         self.shape = add(self.shape,lineshape)
      #
      # loop over chars
      #
      dx = 0
      dy = -height
      self.width = -space
      self.height = height
      lineshape = false
      self.shape = false
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      count = 0
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      for chr in text:
         if (chr == '\n'):
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            count += 1
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            addline(lineshape)
            dx = 0
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            dy -= 1.5*self.height/(1+(count-1)*1.5)
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            self.width = -space
            self.height += 1.5*self.height
            lineshape = false
         else:
            lineshape = add(lineshape,move(shapes[chr],dx,dy))
            self.width += space + width
            dx += width + space
      addline(lineshape)
      #
      # UD align
      #
      if (align[1] == 'C'):
         self.shape = move(self.shape,0,self.height/2.0)
      elif (align[1] == 'B'):
         self.shape = move(self.shape,0,self.height)
      #
      # rotate
      #
      if (angle == 90):
         self.shape = rotate_90(self.shape)
      elif (angle == 180):
         self.shape = rotate_180(self.shape)
      elif ((angle == 270) | (angle == -90)):
         self.shape = rotate_270(self.shape)
      elif (angle != 0):
         self.shape = rotate(self.shape,angle)
      #
      # translate
      #
      self.shape = move(self.shape,x,y)
      #
      # color
      #
      self.shape = '('+str(color)+'*(('+self.shape+')!=0))'

#
# PCB classes and definitions
#

class PCB:
   def __init__(self,x0,y0,width,height,mask):
      self.board = false
      self.labels = false
      self.interior = rectangle(x0,x0+width,y0,y0+height)
      self.exterior = subtract(true,rectangle(x0,x0+width,y0,y0+height))
      self.mask = false
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      self.holes = false
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      self.cutout = false
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   def add(self,part):
      self.board = add(self.board,part)
      self.mask = add(self.mask,move(part,-mask,mask))
      self.mask = add(self.mask,move(part,-mask,-mask))
      self.mask = add(self.mask,move(part,mask,mask))
      self.mask = add(self.mask,move(part,mask,-mask))
      return self

class point:
   def __init__(self,x,y,z=0):
      self.x = x
      self.y = y
      self.z = z

class part:
   class text:
      def __init__(self,x,y,z=0,text='',line=0.006,angle=0):
         self.x = x
         self.y = y
         self.z = z
         self.text = text
         self.line = line 
         self.angle = angle
   def add(self,pcb,x,y,z=0,angle=0,line=0.007):
      self.x = x
      self.y = y
      self.z = z
      self.angle = angle
      if (angle == 90):
         self.shape = rotate_90(self.shape)
      elif (angle == 180):
         self.shape = rotate_180(self.shape)
      elif ((angle == 270) | (angle == -90)):
         self.shape = rotate_270(self.shape)
      elif (angle != 0):
         self.shape = rotate(self.shape,angle)
      self.shape = translate(self.shape,x,y,z)
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      if hasattr(self,'holes'):