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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 10/17/21
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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.
#

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############################################################
# 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"
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#output = "top traces and exterior"
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#output = "bottom traces"
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#output = "bottom traces reversed"
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#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"

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############################################################
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# import
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############################################################
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import math,json,sys

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############################################################
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# define shapes and transformations
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############################################################
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# 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
   roundoff = 1e-6
   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-roundoff)) & (Z < (z+roundoff)))"
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   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('roundoff',str(roundoff))
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   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

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############################################################
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# text classes and definitions
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############################################################
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class text:
   #
   # text class
   #
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   def __init__(self,text,x,y,z=0,line='',height='',width='',space='',align='CC',color=White,angle=0):
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475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908
      #
      # 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
      #
      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))'

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############################################################
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# PCB classes and definitions
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############################################################
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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)