class Render(object):
def __init__(self, width=None, height=None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(
i, j, color(trunc(r * 255), trunc(g * 255),
trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColorC(self, r, g, b):
self.color = color(r, g, b)
def glColorFull(self, color):
self.color = color
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name='out'):
self.bmp.write(name + '.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def loadObj(self,
filename,
translate=[0, 0, 0],
scale=[1, 1, 1],
rotate=[0, 0, 0],
texture=None,
light=[0, 0, 1]):
with open(filename) as file:
faces, vertices, textures_coor = obj.processObj(file)
self.calcModelMat(rotate, scale, translate)
for i in range(len(vertices)):
vertices[i] = self.transform(vertices[i])
# light = [0.3, 0.1, 0.6]
# light = [0, 0, 1]
asdf = 0
for face in faces:
asdf += 1
print(asdf)
#Se obtienen las coordenadas de los vertices
faceLen = len(face)
faceVer = []
faceTex = []
for i in range(faceLen):
faceVer.append(vertices[face[i][0] - 1])
# faceVer.append(transform_vertex(
# vertices[face[i][0] - 1],
# translateX=translateX,
# translateY=translateY,
# scale=scale
# ))
if texture:
faceTex.append(textures_coor[face[i][1] - 1])
#Se obtiene la intensidad
dot = cross_product(vector_subs(faceVer[1], faceVer[0]),
vector_subs(faceVer[2], faceVer[0]))
norm = normalize(dot)
light_int = dot_product(norm, light)
#Se recorren todos los vertices de cada cara
loopLen = faceLen - 2
if faceLen <= 4:
for i in range(loopLen):
if light_int > 0:
if not texture:
self.glColor(light_int, light_int, light_int)
tex_coor_temp = None
else:
tex_coor_temp = (faceTex[0], faceTex[i + 1],
faceTex[i + 2])
self.barycentric_triangle(faceVer[0],
faceVer[i + 1],
faceVer[i + 2],
tex_coor=tex_coor_temp,
texture=texture,
intensity=light_int)
def calcViewportMat(self, x=0, y=0):
res = [[self.width / 2, 0, 0, x + self.width / 2],
[0, self.height / 2, 0, y + self.height / 2], [0, 0, 100, 100],
[0, 0, 0, 1]]
self.viewport_matrix = res
def calcModelMat(self,
rotate=[0, 0, 0],
scale=[1, 1, 1],
translate=[0, 0, 0]):
rotate_x = [[1, 0, 0, 0], [0, cos(rotate[0]), -sin(rotate[0]), 0],
[0, sin(rotate[0]), cos(rotate[0]), 0], [0, 0, 0, 1]]
rotate_y = [[cos(rotate[1]), 0, sin(rotate[1]), 0], [0, 1, 0, 0],
[-sin(rotate[1]), 0, cos(rotate[1]), 0], [0, 0, 0, 1]]
rotate_z = [[cos(rotate[2]), -sin(rotate[2]), 0, 0],
[sin(rotate[2]), cos(rotate[2]), 0, 0], [0, 0, 1, 0],
[0, 0, 0, 1]]
rotate_all = matmul(matmul(rotate_x, rotate_y), rotate_z)
translation = [[1, 0, 0, translate[0]], [0, 1, 0, translate[1]],
[0, 0, 1, translate[2]], [0, 0, 0, 1]]
scale_mat = [[scale[0], 0, 0, 0], [0, scale[1], 0, 0],
[0, 0, scale[2], 0], [0, 0, 0, 1]]
self.model_matrix = matmul(matmul(translation, rotate_all), scale_mat)
def calcViewMat(self, x, y, z, center):
view_mat = [[x[0], x[1], x[2], -center[0]],
[y[0], y[1], y[2], -center[1]],
[z[0], z[1], z[2], -center[2]], [0, 0, 0, 1]]
self.view_matrix = view_mat
def calcProjectionMat(self, c):
proj = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, c, 1]]
self.proj_matrix = proj
def transform(self, vertex):
vertex = [[vertex[0]], [vertex[1]], [vertex[2]], [1]]
homog_mat = matmul(
matmul(
matmul(matmul(self.viewport_matrix, self.proj_matrix),
self.view_matrix), self.model_matrix), vertex)
trans_vertex = [
round(homog_mat[0][0] / homog_mat[3][0]),
round(homog_mat[1][0] / homog_mat[3][0]),
round(homog_mat[2][0] / homog_mat[3][0])
]
return trans_vertex
def lookAt(self, cameraPos, cameraTarget, up):
z = normalize(vector_subs(cameraPos, cameraTarget))
x = normalize(cross_product(up, z))
y = normalize(cross_product(z, x))
self.calcViewMat(x, y, z, cameraTarget)
self.calcProjectionMat(
-1 / vec_length(vector_subs(cameraPos, cameraTarget)))
self.calcViewportMat()
def barycentric_triangle(self,
A,
B,
C,
tex_coor=(),
texture=None,
intensity=1):
x_min, x_max, y_min, y_max = bounding_box(A, B, C)
for i in range(x_min, x_max + 1):
for j in range(y_min, y_max + 1):
if i < 0 or j < 0:
continue
u, v, w = barycentric2(A, B, C, [i, j])
if u >= 0 and v >= 0 and w >= 0:
if texture:
tex_A, tex_B, tex_C = tex_coor
tex_x = tex_A[0] * u + tex_B[0] * v + tex_C[0] * w
tex_y = tex_A[1] * u + tex_B[1] * v + tex_C[1] * w
self.glColorFull(
texture.getColor(tex_x, tex_y, intensity))
P_z = dot_product([u, v, w], [A[2], B[2], C[2]])
if j < len(self.bmp.zbuffer) and i < len(
self.bmp.zbuffer[j]) and self.bmp.getZbuffer(
i, j) < P_z:
self.bmp.setZbuffer(i, j, P_z)
self.glVertexC(i, j)
class Render(object):
def __init__(self, width=None, height=None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(
i, j, color(trunc(r * 255), trunc(g * 255),
trunc(b * 255)))
def glVertex(self, x, y):
self.x = trunc(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = trunc(self.view['y'] + (self.view['height'] / 2) * (y + 1))
# print(self.x)
# print(self.y)
self.bmp.point(self.y, self.x, self.color)
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
# self.bmp.point(self.x, self.y, color(trunc(r * 255), trunc(g * 255), trunc(b * 255)))
def glFinish(self, name='out'):
self.bmp.write(name + '.bmp')
def display(self, name='out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename=name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass # do nothing if no wand is installed
class Render(object):
def __init__(self, width = None, height = None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(i, j, color(trunc(r * 255), trunc(g * 255), trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name = 'out'):
self.bmp.write(name+'.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def loadObj(self, filename, translateX=0, translateY=0, scale=1, triangle=0):
with open(filename) as file:
faces, vertices = obj.processObj(file)
for face in faces:
faceLen = len(face)
faceVer = []
for i in range(faceLen):
faceVer.append(transform_vertex(
vertices[face[i][0] - 1],
translateX=translateX,
translateY=translateY,
scale=scale
))
loopLen = faceLen - 2
for i in range(loopLen):
self.glColor(ran.random(), ran.random(), ran.random())
if triangle == 0:
self.barycentric_triangle(faceVer[0], faceVer[i+1], faceVer[i+2])
elif triangle == 1:
self.line_sweeping_triangle2(faceVer[0], faceVer[i+1], faceVer[i+2])
def display(self, name = 'out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename = name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass # do nothing if no wand is installed
def line_sweeping_triangle(self, A, B, C):
if (A[1] > B[1]):
A, B = B, A
if (B[1] > C[1]):
B, C = C, B
if (A[1] > B[1]):
A, B = B, A
self.glLineC(A[0], A[1], B[0], B[1])
self.glLineC(A[0], A[1], C[0], C[1])
self.glLineC(B[0], B[1], C[0], C[1])
for i in range(A[1], B[1]):
x0 = round(x(A, C, i))
x1 = round(x(A, B, i))
self.glLineC(x0, i, x1, i)
for i in range(B[1], C[1]):
x0 = round(x(A, C, i))
x1 = round(x(B, C, i))
self.glLineC(x0, i, x1, i)
def line_sweeping_triangle2(self, A, B, C):
if (A[1] > B[1]):
A, B = B, A
if (B[1] > C[1]):
B, C = C, B
if (A[1] > B[1]):
A, B = B, A
total_height = C[1] - A[1]
first_height = B[1] - A[1]
second_height = C[1] - B[1]
if total_height == 0:
return
# if first_height:
for i in range(A[1], B[1]):
alpha = (i - A[1]) / total_height
beta = (i - A[1]) / first_height
v0 = vector_sum(A, vector_linear_mul(vector_subs(C, A), alpha))
v1 = vector_sum(A, vector_linear_mul(vector_subs(B, A), beta))
if v0[0] > v1[0]:
v0, v1 = v1, v0
for j in range(round(v0[0]), round(v1[0])):
self.glVertexC(j, i)
for i in range(B[1], C[1]):
alpha = (i - A[1]) / total_height
beta = (i - B[1]) / second_height
v0 = vector_sum(A, vector_linear_mul(vector_subs(C, A), alpha))
v1 = vector_sum(B, vector_linear_mul(vector_subs(C, B), beta))
if v0[0] > v1[0]:
v0, v1 = v1, v0
for j in range(round(v0[0]), round(v1[0])):
self.glVertexC(j, i)
def barycentric_triangle(self, A, B, C):
x_min, x_max, y_min, y_max = bounding_box(A, B, C)
for i in range(x_min, x_max + 1):
for j in range(y_min, y_max + 1):
if barycentric(A, B, C, [i, j, 0]):
self.glVertexC(i, j)
class Render(object):
def __init__(self, width=None, height=None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(
i, j, color(trunc(r * 255), trunc(g * 255),
trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColorC(self, r, g, b):
self.color = color(r, g, b)
def glColorFull(self, color):
self.color = color
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name='out'):
self.bmp.write(name + '.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def loadObj(self,
filename,
translateX=0,
translateY=0,
scale=1,
texture=None,
light=[0, 0, 1]):
with open(filename) as file:
faces, vertices, textures_coor = obj.processObj(file)
# light = [0.3, 0.1, 0.6]
# light = [0, 0, 1]
for face in faces:
#Se obtienen las coordenadas de los vertices
faceLen = len(face)
faceVer = []
faceTex = []
for i in range(faceLen):
faceVer.append(
transform_vertex(vertices[face[i][0] - 1],
translateX=translateX,
translateY=translateY,
scale=scale))
faceTex.append(textures_coor[face[i][1] - 1])
#Se obtiene la intensidad
dot = cross_product(vector_subs(faceVer[1], faceVer[0]),
vector_subs(faceVer[2], faceVer[0]))
norm = normalize(dot)
light_int = dot_product(norm, light)
#Se recorren todos los vertices de cada cara
loopLen = faceLen - 2
for i in range(loopLen):
if light_int > 0:
if not texture:
self.glColor(light_int, light_int, light_int)
self.barycentric_triangle(faceVer[0],
faceVer[i + 1],
faceVer[i + 2],
tex_coor=(faceTex[0],
faceTex[i + 1],
faceTex[i + 2]),
texture=texture,
intensity=light_int)
def display(self, name='out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename=name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass
def barycentric_triangle(self,
A,
B,
C,
tex_coor=(),
texture=None,
intensity=1):
x_min, x_max, y_min, y_max = bounding_box(A, B, C)
for i in range(x_min, x_max + 1):
for j in range(y_min, y_max + 1):
u, v, w = barycentric2(A, B, C, [i, j])
if u >= 0 and v >= 0 and w >= 0:
if texture:
tex_A, tex_B, tex_C = tex_coor
tex_x = tex_A[0] * u + tex_B[0] * v + tex_C[0] * w
tex_y = tex_A[1] * u + tex_B[1] * v + tex_C[1] * w
self.glColorFull(
texture.getColor(tex_x, tex_y, intensity))
P_z = dot_product([u, v, w], [A[2], B[2], C[2]])
if self.bmp.getZbuffer(i, j) < P_z:
self.bmp.setZbuffer(i, j, P_z)
self.glVertexC(i, j)
class Render(object):
def __init__(self, width = None, height = None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(i, j, color(trunc(r * 255), trunc(g * 255), trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name = 'out'):
self.bmp.write(name+'.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def loadObj(self, filename, translateX=0, translateY=0, scale=1, triangle=0):
with open(filename) as file:
faces, vertices = obj.processObj(file)
light = [0.2, 0.3, 0.5]
for face in faces:
faceLen = len(face)
faceVer = []
for i in range(faceLen):
faceVer.append(transform_vertex(
vertices[face[i][0] - 1],
translateX=translateX,
translateY=translateY,
scale=scale
))
loopLen = faceLen - 2
for i in range(loopLen):
dot = cross_product(vector_subs(faceVer[i+1], faceVer[0]), vector_subs(faceVer[i+2], faceVer[0]))
norm = normalize(dot)
light_int = dot_product(norm, light)
if light_int > 0:
self.glColor(light_int, light_int, light_int)
self.barycentric_triangle(faceVer[0], faceVer[i+1], faceVer[i+2])
def display(self, name = 'out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename = name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass # do nothing if no wand is installed
# def line_sweeping_triangle(self, A, B, C):
# if (A[1] > B[1]):
# A, B = B, A
# if (B[1] > C[1]):
# B, C = C, B
# if (A[1] > B[1]):
# A, B = B, A
#
# self.glLineC(A[0], A[1], B[0], B[1])
# self.glLineC(A[0], A[1], C[0], C[1])
# self.glLineC(B[0], B[1], C[0], C[1])
#
# for i in range(A[1], B[1]):
# x0 = round(x(A, C, i))
# x1 = round(x(A, B, i))
# self.glLineC(x0, i, x1, i)
#
# for i in range(B[1], C[1]):
# x0 = round(x(A, C, i))
# x1 = round(x(B, C, i))
# self.glLineC(x0, i, x1, i)
def barycentric_triangle(self, A, B, C):
x_min, x_max, y_min, y_max = bounding_box(A, B, C)
for i in range(x_min, x_max + 1):
for j in range(y_min, y_max + 1):
u, v, w = barycentric2(A, B, C, [i, j])
if u >= 0 and v >= 0 and w >= 0:
P_z = dot_product([u, v, w], [A[2], B[2], C[2]])
if self.bmp.getZbuffer(i, j) < P_z:
self.bmp.setZbuffer(i, j, P_z)
self.glVertexC(i, j)
class Render(object):
def __init__(self, width = None, height = None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(i, j, color(trunc(r * 255), trunc(g * 255), trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name = 'out'):
self.bmp.write(name+'.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
# print(x0)
# print(y0)
# print(x1)
# print(y1)
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def display(self, name = 'out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename = name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass # do nothing if no wand is installed
def fillPolygon(self, points, r, g, b):
self.glColor(r / 255, g / 255, b / 255)
for i in range(-1,len(points)-1):
self.glLineC(points[i][0], points[i][1], points[i+1][0], points[i+1][1])
edges = self.createPolygonEdges(points)
y_min = min([points[i][1] for i in range(len(points))])
y_max = max([points[i][1] for i in range(len(points))])
x_min = min([points[i][0] for i in range(len(points))])
x_max = max([points[i][0] for i in range(len(points))])
for i in range(y_min, y_max+1):
activeEdges = [edges[n] for n in range(len(edges)) if edges[n]['yMin'] <= i <= edges[n]['yMax']]
activeEdges = sorted(activeEdges, key=lambda item: item['x'])
count = 0
intercepts = []
for j in range(len(activeEdges)):
if activeEdges[j]['m'] == 0:
adjEdges = []
for k in range(len(activeEdges)):
if j != k:
if (activeEdges[j]['v0'] == activeEdges[k]['v0'] or activeEdges[j]['v0'] == activeEdges[k]['v1']):
adjEdges.append(activeEdges[k])
if (activeEdges[j]['v1'] == activeEdges[k]['v0'] or activeEdges[j]['v1'] == activeEdges[k]['v1']):
adjEdges.append(activeEdges[k])
if len(adjEdges) == 2:
break
if not (adjEdges[0]['yMax'] == adjEdges[1]['yMax'] or adjEdges[0]['yMin'] == adjEdges[1]['yMin']):
intercepts.append(activeEdges[j]['x'])
elif j < len(activeEdges)-1:
if not ((
(i == activeEdges[j]['v0'][1] and (
activeEdges[j]['v0'] == activeEdges[j+1]['v0'] or
activeEdges[j]['v0'] == activeEdges[j+1]['v1']
)) or
(i == activeEdges[j]['v1'][1] and (
activeEdges[j]['v1'] == activeEdges[j+1]['v0'] or
activeEdges[j]['v1'] == activeEdges[j+1]['v1']
))
) and ((activeEdges[j]['yMin'] != activeEdges[j+1]['yMin']) and (activeEdges[j]['yMax'] != activeEdges[j+1]['yMax']))):
if activeEdges[j]['m'] == 0:
intercepts.append(activeEdges[j]['x'])
else:
intercepts.append(round(
activeEdges[j]['x0'] - ((activeEdges[j]['y0'] - i) / activeEdges[j]['m'])
))
else:
if activeEdges[j]['m'] == 0:
intercepts.append(activeEdges[j]['x'])
else:
intercepts.append(round(
activeEdges[j]['x0'] - ((activeEdges[j]['y0'] - i) / activeEdges[j]['m'])
))
# if i == 214:
# print('INTERCEPTS')
# print('')
# print(intercepts)
# print('')
# break
for j in range(x_min, x_max + 1):
count = 0
for k in range(len(intercepts)):
if intercepts[k] < j:
count += 1
if count % 2 == 1:
self.glVertexC(j, i)
def createPolygonEdges(self, ver):
edges = []
for i in range(-1, len(ver)-1):
edge = {}
# if ver[i][1] - ver[i+1][1] != 0:
edge['yMax'] = max([ver[i][1], ver[i+1][1]])
edge['yMin'] = min([ver[i][1], ver[i+1][1]])
edge['x'] = min([ver[i][0], ver[i+1][0]])
edge['x0'] = ver[i][0]
edge['y0'] = ver[i][1]
edge['v0'] = [ver[i][0], ver[i][1]]
edge['v1'] = [ver[i+1][0], ver[i+1][1]]
if ver[i][0] - ver[i+1][0] == 0:
edge['m'] = 999999999
else:
edge['m'] = ((ver[i][1]-ver[i+1][1])/(ver[i][0]-ver[i+1][0]))
edges.append(edge)
return edges
class Render(object):
def __init__(self, width=None, height=None):
self.x = 0
self.y = 0
self.view = {}
self.color = color(255, 255, 255)
if (width == None and height == None):
self.bmp = None
self.width = width
self.height = height
else:
self.glCreateWindow(width, height)
def glInit(self):
pass
def glCreateWindow(self, width, height):
self.bmp = Bitmap(width, height)
self.width = width
self.height = height
def glViewPort(self, x, y, width, height):
self.view['x'] = x
self.view['y'] = y
self.view['width'] = width - 1
self.view['height'] = height - 1
def glClear(self):
self.bmp.clear()
def glClearColor(self, r, g, b):
for i in range(self.height):
for j in range(self.width):
self.bmp.point(
i, j, color(trunc(r * 255), trunc(g * 255),
trunc(b * 255)))
def glVertex(self, x, y):
self.x = ceil(self.view['x'] + (self.view['width'] / 2) * (x + 1))
self.y = ceil(self.view['y'] + (self.view['height'] / 2) * (y + 1))
self.glVertexC(self.x, self.y)
def glVertexC(self, x, y):
self.bmp.point(y, x, self.color)
def glColor(self, r, g, b):
self.color = color(floor(r * 255), floor(g * 255), floor(b * 255))
def glFinish(self, name='out'):
self.bmp.write(name + '.bmp')
def glLine(self, x0p, y0p, x1p, y1p):
x0 = round(self.view['x'] + (self.view['width'] / 2) * (x0p + 1))
y0 = round(self.view['y'] + (self.view['height'] / 2) * (y0p + 1))
x1 = round(self.view['x'] + (self.view['width'] / 2) * (x1p + 1))
y1 = round(self.view['y'] + (self.view['height'] / 2) * (y1p + 1))
self.glLineC(x0, y0, x1, y1)
def glLineC(self, x0, y0, x1, y1):
# print(x0)
# print(y0)
# print(x1)
# print(y1)
dx = abs(x1 - x0)
dy = abs(y1 - y0)
if x1 < x0:
x0, x1 = x1, x0
y0, y1 = y1, y0
px = 2 * dy - dx
py = 2 * dx - dy
if dx >= dy:
y = y0
for x in range(x0, x1 + 1):
# print(x)
# print(y)
self.glVertexC(x, y)
if px < 0:
px += 2 * dy
else:
y += 1 if y0 < y1 else -1
px += 2 * (dy - dx)
else:
x = x0
step = 1 if y0 < y1 else -1
for y in range(y0, y1, step):
# print(x)
# print(y)
self.glVertexC(x, y)
if py < 0:
py += 2 * dx
else:
x += 1 if x0 < x1 else -1
py += 2 * (dx - dy)
def display(self, name='out'):
self.glFinish(name)
try:
from wand.image import Image
from wand.display import display
with Image(filename=name + '.bmp') as image:
display(image)
except Exception as e:
print(e)
pass # do nothing if no wand is installed
