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geometry.py
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from math import pi, cos, sin
def draw_offset_layered_regular_polygon(pos, levels, sides,
middle_color, radius_color_dict):
'''
radius_color_dict = {'level#': (even_r, odd_r), (r,g,b,a))}
'''
x, y = pos
angle = 2 * pi / sides
all_verts = {}
all_verts[0] = {'pos': pos, 'v_color': middle_color}
r_total_e = 0
r_total_o = 0
i = 0
indices = []
vert_count = 1
ind_count = 0
ind_ext = indices.extend
for count in range(levels):
level = i + 1
rs, color = radius_color_dict[level]
even_r, odd_r = rs
for s in range(sides):
r = odd_r if not s % 2 else even_r
r_total = r_total_o if not s % 2 else r_total_e
new_pos = list((x + (r + r_total) * sin(s * angle),
y + (r + r_total) * cos(s * angle)))
all_verts[vert_count] = {'pos': new_pos, 'v_color': color}
vert_count += 1
r_total_e += even_r
r_total_o += odd_r
c = 1 #side number we are on in loop
if level == 1:
for each in range(sides):
if c < sides:
ind_ext((c, 0, c+1))
else:
ind_ext((c, 0, 1))
ind_count += 3
c += 1
else:
for each in range(sides):
offset = sides*(i-1)
if c < sides:
ind_ext((c+sides+offset, c+sides+1+offset, c+offset))
ind_ext((c+offset, c+1+offset, c+sides+1+offset))
else:
ind_ext((c+sides+offset, sides+1+offset, sides+offset))
ind_ext((sides+offset, 1+offset, sides+1+offset))
ind_count += 6
c += 1
i += 1
return {'indices': indices, 'vertices': all_verts,
'vert_count': vert_count, 'ind_count': ind_count}
def draw_layered_regular_polygon(pos, levels, sides, middle_color,
radius_color_dict):
'''
radius_color_dict = {level#: (r, (r,g,b,a))}
'''
x, y = pos
angle = 2 * pi / sides
all_verts = {}
all_verts[0] = {'pos': pos, 'v_color': middle_color}
r_total = 0
i = 0
indices = []
vert_count = 1
ind_count = 0
ind_ext = indices.extend
for count in range(levels):
level = i + 1
r, color = radius_color_dict[level]
for s in range(sides):
new_pos = list((x + (r + r_total) * sin(s * angle),
y + (r + r_total) * cos(s * angle)))
all_verts[vert_count] = {'pos': new_pos, 'v_color': color}
vert_count += 1
r_total += r
c = 1 #side number we are on in loop
if level == 1:
for each in range(sides):
if c < sides:
ind_ext((c, 0, c+1))
else:
ind_ext((c, 0, 1))
ind_count += 3
c += 1
else:
for each in range(sides):
offset = sides*(i-1)
if c < sides:
ind_ext((c+sides+offset, c+sides+1+offset, c+offset))
ind_ext((c+offset, c+1+offset, c+sides+1+offset))
else:
ind_ext((c+sides+offset, sides+1+offset, sides+offset))
ind_ext((sides+offset, 1+offset, sides+1+offset))
ind_count += 6
c += 1
i += 1
return {'indices': indices, 'vertices': all_verts,
'vert_count': vert_count, 'ind_count': ind_count}
def draw_colored_layered_grid(spacing, line_width, fade_width, cells, color,
middle_color, fade_color):
#draw centered around 0, 0
pos = (0, 0)
hs = spacing/2.
hf = fade_width/2.
line_spacing = line_width+fade_width
total_size = line_spacing*cells + spacing*(cells)
print('total size is', total_size)
total_gap = total_size/cells
starting_pos = (
pos[0] + line_spacing/2. + hs - total_size/2.,
pos[1] + line_spacing/2. + hs - total_size/2.
)
all_verts = {}
indices = []
vert_count = 0
ind_count = 0
ind_e = indices.extend
for x_count in range(cells):
for y_count in range(cells):
x_offset = total_gap*x_count
y_offset = total_gap*y_count
vert_count += 17
initial_point = (
starting_pos[0] + x_offset, starting_pos[1] + y_offset)
ix, iy = initial_point
a = 17*x_count + 17*y_count*cells
prev_ax = a - 17
prev_ay = a - 17*cells
# calculate vertex positions
a_vert = {'pos': (ix, iy), 'v_color': middle_color}
b_vert = {'pos': (ix - hs, iy - hs), 'v_color': color}
c_vert = {'pos': (ix, iy - hs), 'v_color': middle_color}
d_vert = {'pos': (ix + hs, iy - hs), 'v_color': color}
e_vert = {'pos': (ix - hs, iy), 'v_color': middle_color}
f_vert = {'pos': (ix + hs, iy), 'v_color': middle_color}
g_vert = {'pos': (ix - hs, iy + hs), 'v_color': color}
h_vert = {'pos': (ix, iy + hs), 'v_color': middle_color}
i_vert = {'pos': (ix + hs, iy + hs), 'v_color': color}
j_vert = {'pos': (ix - hs - hf, iy - hs - hf),
'v_color': fade_color}
k_vert = {'pos': (ix, iy - hs - hf), 'v_color': fade_color}
l_vert = {'pos': (ix + hs + hf, iy - hs - hf),
'v_color': fade_color}
m_vert = {'pos': (ix - hs - hf, iy), 'v_color': fade_color}
n_vert = {'pos': (ix + hs + hf, iy), 'v_color': fade_color}
o_vert = {'pos': (ix - hs - hf, iy + hs + hf),
'v_color': fade_color}
p_vert = {'pos': (ix, iy + hs + hf), 'v_color': fade_color}
q_vert = {'pos': (ix + hs + hf, iy + hs + hf),
'v_color': fade_color}
# calculate indexes
b = a+1
c = a+2
d = a+3
e = a+4
f = a+5
g = a+6
h = a+7
i = a+8
j = a+9
k = a+10
l = a+11
m = a+12
n= a+13
o = a+14
p = a+15
q = a+16
all_verts[a] = a_vert
all_verts[b] = b_vert
all_verts[c] = c_vert
all_verts[d] = d_vert
all_verts[e] = e_vert
all_verts[f] = f_vert
all_verts[g] = g_vert
all_verts[h] = h_vert
all_verts[i] = i_vert
all_verts[j] = j_vert
all_verts[k] = k_vert
all_verts[l] = l_vert
all_verts[m] = m_vert
all_verts[n] = n_vert
all_verts[o] = o_vert
all_verts[p] = p_vert
all_verts[q] = q_vert
if x_count > 0:
pxf = prev_ax+5
pxi = prev_ax+8
pxd = prev_ax+3
ind_e([pxf, pxi, g, g, pxf, e, e, b, pxf, pxf, pxd, b])
ind_count += 12
if y_count > 0:
pyh = prev_ay+7
pyg = prev_ay+6
pyi = prev_ay+8
ind_e([pyh, pyg, b, b, c, pyh, pyh, pyi, d, d, pyh, c])
ind_count += 12
ind_e([
a, e, c,
c, b, e,
e, g, h,
h, e, a,
a, f, h,
h, i, f,
f, a, c,
c, d, f,])
ind_count += 24
if x_count == 0 and y_count == 0:
ind_e([
m, e, b,
b, m, j,
j, b, k,
k, b, c,
m, e, g,
g, m, o,
c, d, k,
k, l, d,
])
ind_count += 24
if x_count == cells-1 and y_count == cells-1:
ind_e([
o, p, g,
g, p, h,
h, p, i,
i, p, q,
q, i, n,
n, i, f,
f, n, d,
d, n, l,
])
ind_count += 24
if x_count == cells-1 and y_count == 0:
ind_e([
q, n, i,
i, n, f,
f, n, d,
d, n, l,
l, d, k,
k, d, c,
c, k, b,
b, k, j
])
ind_count += 24
if x_count == 0 and y_count == cells-1:
ind_e([
j, b, m,
m, b, e,
e, m, g,
g, m, o,
o, g, p,
p, g, h,
h, p, i,
i, p, q,
])
ind_count += 24
if y_count > 0 and 0 <= x_count <= cells-1:
pyo = prev_ay+14
pyg = prev_ay+6
pyq = prev_ay+16
pyi = prev_ay+8
ind_e([
j, b, pyg,
pyg, j, pyo,
d, l, pyi,
pyi, l, pyq,
])
ind_count += 12
if x_count > 0 and 0 <= y_count <= cells-1:
pxi = prev_ax+8
pxq = prev_ax+16
pxl = prev_ax+11
pxd = prev_ax+3
ind_e([
pxd, pxl, j,
j, pxd, b,
pxq, pxi, o,
o, pxi, g
])
ind_count += 12
if y_count == 0 and 0 < x_count < cells-1:
ind_e([
b, j, k,
k, b, c,
c, d, k,
k, d, l,
])
ind_count += 12
if x_count == 0 and 0 < y_count < cells-1:
ind_e([
g, o, m,
m, g, e,
e, m, b,
b, m, j,
])
ind_count += 12
if y_count == cells-1 and 0 < x_count < cells-1:
ind_e([
o, g, p,
p, g, h,
h, p, i,
i, p, q,
])
ind_count += 12
if x_count == cells-1 and 0 < y_count < cells-1:
ind_e([
q, i, n,
n, i, f,
f, n, d,
d, n, l,
])
ind_count += 12
return {'indices': indices, 'vertices': all_verts,
'vert_count': vert_count, 'ind_count': ind_count}
def draw_irregular_polygon(points, color):
center = (0., 0.)
vertices = {}
vertices[0] = {'pos': center, 'v_color': color}
indices = []
count = len(points)
for index, point in enumerate(points):
vertices[index+1] = {'pos': point, 'v_color': color}
if index < count:
indices.extend([0, index+1, index+2])
else:
indices.extend([index+1, 0, 1])
return {'indices': indices, 'vertices': vertices,
'vert_count': len(vertices), 'ind_count': len(indices)}
def draw_colored_grid(pos, spacing, width, cells, color, middle_color):
total_gap = width+spacing
total_size = total_gap*cells
hs = spacing/2.
starting_pos = pos[0] - total_size/2., pos[1] - total_size/2.
all_verts = {}
indices = []
vert_count = 0
ind_count = 0
ind_e = indices.extend
for x_count in range(cells):
for y_count in range(cells):
x_offset = total_gap*x_count
y_offset = total_gap*y_count
vert_count += 9
initial_point = (
starting_pos[0] + x_offset, starting_pos[1] + y_offset)
ix, iy = initial_point
a = 9*x_count + 9*y_count*cells
prev_ax = a - 9
prev_ay = a - 9*cells
# calculate vertex positions
a_vert = {'pos': (ix, iy), 'v_color': middle_color}
b_vert = {'pos': (ix - hs, iy - hs), 'v_color': color}
c_vert = {'pos': (ix, iy - hs), 'v_color': middle_color}
d_vert = {'pos': (ix + hs, iy - hs), 'v_color': color}
e_vert = {'pos': (ix - hs, iy), 'v_color': middle_color}
f_vert = {'pos': (ix + hs, iy), 'v_color': middle_color}
g_vert = {'pos': (ix - hs, iy + hs), 'v_color': color}
h_vert = {'pos': (ix, iy + hs), 'v_color': middle_color}
i_vert = {'pos': (ix + hs, iy + hs), 'v_color': color}
# calculate indexes
b = a+1
c = a+2
d = a+3
e = a+4
f = a+5
g = a+6
h = a+7
i = a+8
all_verts[a] = a_vert
all_verts[b] = b_vert
all_verts[c] = c_vert
all_verts[d] = d_vert
all_verts[e] = e_vert
all_verts[f] = f_vert
all_verts[g] = g_vert
all_verts[h] = h_vert
all_verts[i] = i_vert
if x_count > 0:
pxf = prev_ax+5
pxi = prev_ax+8
pxd = prev_ax+3
ind_e([pxf, pxi, g, g, pxf, e, e, b, pxf, pxf, pxd, b])
ind_count += 12
if y_count > 0:
pyh = prev_ay+7
pyg = prev_ay+6
pyi = prev_ay+8
ind_e([pyh, pyg, b, b, c, pyh, pyh, pyi, d, d, pyh, c])
ind_count += 12
ind_e([
a, e, c,
c, b, e,
e, g, h,
h, e, a,
a, f, h,
h, i, f,
f, a, c,
c, d, f])
ind_count += 24
return {'indices': indices, 'vertices': all_verts,
'vert_count': vert_count, 'ind_count': ind_count}