diff --git a/__pycache__/camera.cpython-33.pyc b/__pycache__/camera.cpython-33.pyc
index 9162902ab8f1d7ebd4d0c8cfd5ee667372bea14a..ca143181686fca63946a8bec2a6ef5debcab1765 100644
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diff --git a/__pycache__/light.cpython-33.pyc b/__pycache__/light.cpython-33.pyc
index c77724b75049cb6a0d785ea1e3d97504f7b9d1f0..0a129bd8d723336231ef404296c56673c5f5f562 100644
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diff --git a/camera.py b/camera.py
index 083f32bdf7603e87e5d8f6ec2fda3564ed537ed4..0e110787d06ef36a347e080f26a8926fc61bcb77 100644
--- a/camera.py
+++ b/camera.py
@@ -3,11 +3,25 @@ from raytracer import Ray
class Camera:
def __init__(self, image_nrows, image_ncols, distance_focale):
+ """__init__(self, image_nrows:entier, image_ncols:entier, distance_focale:entier):Camera
+
+ Définit un objet Caméra qui correspondra à l'image que l'on génère à la fin.
+
+ @image_nrows: nombre entier : correspond à la résolution verticale de l'image
+ @image_ncols: nombre entier : correspond à la résolution horizontale de l'image
+ @distance_focale: nombre entier : correspond au zoom de l'image"""
self.image_nrows = image_nrows
self.image_ncols = image_ncols
self.focal_length = distance_focale
def ray_at(self, row, col):
+ """ray_at(self, row:entier, col:entier):Ray
+
+ Calcul le rayon qui part de la caméra vers le point de coordonnée (row, col) de la grille de la caméra
+
+ @row: entier
+ @col: entier
+ @return Ray"""
n = self.image_nrows//2
x = (n-row)/n
n = self.image_ncols//2
diff --git a/intersection.py b/intersection.py
index 13b87b9e5aa80790b5d224de495ecc8e30656d05..5d633562152bc646644d362bfd1c1323a3dc2270 100644
--- a/intersection.py
+++ b/intersection.py
@@ -1,17 +1,32 @@
from operation_vector import *
from scene import *
-from math import atan, pi
class Intersection:
def __init__(self, position, normal, object):
+ """"__init__(self, position: Vector, normal: Vector, object: Triangle or Sphere):Intersection
+
+ Définit l'objet Intersection composé d'un vecteur position, d'un vecteur normal et d'un objet
+
+ @position: Vector : position dans l'espace du point d'intersection
+ @normal: Vector : vecteur normal à la surface de l'objet au point de contact
+ @object: object : objet de contact
+ """
self.position = position
self.normal = normal
self.object = object
def intersect(objet, ray):
+ """intersect(objet:objet, ray:Ray):Intersection/None
+
+ Calcul le point d'intersection entre un rayon (ray) et un objet (objet) et renvoie ce point d'intersection s'il existe et renvoie None sinon
+
+ @objet: objet
+ @ray: Ray
+ @return None ou Intersection"""
+
o = ray.starting_point
l = ray.direction
- if type(objet) is Sphere:
+ if type(objet) is Sphere: # teste l'intesection quand l'objet est une sphère
centre = objet.centre
r = objet.radius
a = l*l
@@ -19,54 +34,74 @@ def intersect(objet, ray):
b = 2*(l*diff)
c = diff*diff - r**2
delta = b**2 - 4*a*c
- if delta > 0:
+ if delta > 0: # il y a deux intersections avec la droite dont le vecteur directeur est le ray et la sphère
intersection = [(-b - delta**0.5)/(2*a), (-b + delta**0.5)/(2*a)]
- elif delta == 0:
+ elif delta == 0: # il n'y a qu'une intersection (tangente)
intersection = [-b/(2*a)]
- else:
+ else: # il n'y a pas d'intersection
intersection = []
- if len(intersection) == 0 or max(intersection) < 0:
+ if len(intersection) == 0 or max(intersection) < 0: # s'il n'y a pas d'intersection ou que les points d'intersection sont du mauvais côté de la demi-droite
return None
- elif min(intersection) < 0:
+ elif min(intersection) < 0: # s'il y a une intersection du bon côté et l'autre du mauvais côté
position = o + l*max(intersection)
- else:
+ else: # si les deux intersections sont sur la bonne demi-droite
position = o + l*min(intersection)
if diff.norm() >= r:
- return Intersection(position, (position - centre).normalized(), objet)
+ return Intersection(position, (position - centre).normalized(), objet) # le point de départ est à l'extérieure de la sphère
else:
- return Intersection(position, -(position - centre).normalized(), objet)
+ return Intersection(position, -(position - centre).normalized(), objet) # s'il est à l'intérieur
- elif type(objet) is Triangle:
+ elif type(objet) is Triangle: # teste l'intesection quand l'objet est un triangle
i = (objet.v1 - objet.v0).normalized()
j = (objet.v2 - objet.v0).normalized()
n = (i^j).normalized()
- if l*n == 0:
+ if l*n == 0: # si le vecteur directeur du rayon est orthogonal à la normale au plan du triangle
return None
px = ((objet.v0 - o)*n)/(l*n)
- p = o + px*l
+ p = o + px*l # intersection du rayon et du plan contenant le triangle
- if not(pointInTriangle(p, objet.v0, objet.v1, objet.v2)):
+ if not(pointInTriangle(p, objet.v0, objet.v1, objet.v2)): # si p est en dehors du triangle
return None
normal = -n*((l*n)/abs(l*n))
return Intersection(p, normal, objet)
else:
- print('c',end = ' ')
+ print('c',end = ' ') # si l'objet est inconnu
-def sameSide(p1, p2, a,b):
+def sameSide(p1, p2, a, b):
+ """sameSide(p1: Vector, p2: Vector, a: Vector, b: Vector): bool
+
+ Teste si p1 et p2 sont du même côté de la droite [a, b]
+
+ @p1: Vector
+ @p2: Vector
+ @a: Vector
+ @b: Vector
+ @return bool"""
+
cp1 = (b-a)^(p1-a)
cp2 = (b-a)^(p2-a)
+
if cp1*cp2 >= 0:
return True
else:
return False
def pointInTriangle(p, a, b, c):
+ """pointInTriangle(p: Vector, a: Vector, b: Vector, c: Vector): bool
+
+ Teste si p est dans le triangle abc
+
+ @p: Vector
+ @a: Vector
+ @b: Vector
+ @return boo"""
+
if sameSide(p, a, b, c) and sameSide(p, b, a, c) and sameSide(p, c, a, b):
return True
else:
diff --git a/light.py b/light.py
index 9fd5fd25c60e8702a5c83e26930b085d0c3aeeed..eff594556f95e2a4c0604724beef0d4f1639b219 100644
--- a/light.py
+++ b/light.py
@@ -1,9 +1,25 @@
class Spotlight:
def __init__(self, position, color):
+ """__init__(self, position: Vector, color: Vector)
+
+ Définit une source de lumière
+
+ @position: Vector : position de la source de lumière
+ @color: Vector : couleur de la source de lumière"""
self.position = position
self.color = color
def phong_illuminate(light, position, normal, object, viewer):
+ """phong_illuminate(light: Spotlight, position: Vector, normal: Vector, object, viewer: Vector): Vector
+
+ Calcule la lumière vu par l'observateur "viewer" au point de coordonnées "position" produite par la source "light" sur l'objet "objet" de normal "normal"
+
+ @light: Spotlight : source de lumière
+ @position: Vector : position de l'objet à laquelle on cherche la couleur
+ @normal: Vector : normal à l
+ @objet
+ @viewer: Vector : coordonnées de l'observateur
+ @return: Vector : couleur perçue par le "viewer" """
ks = object.material.specular
kd = object.material.diffuse
alpha = object.material.shininess
@@ -16,13 +32,17 @@ def phong_illuminate(light, position, normal, object, viewer):
i = ((kd*(max(L*N, 0)) + ks*(max(0, R*V))**alpha))
if i < 0:
i = 0
-# print(-1)
-# elif i > 1:
-# i = 1
-# print(1)
return i*(light.color ** object.material.color)
def ambiant_illuminate(position, object):
+ """ambiant_illuminate(position: Vector, object: objet): Vector
+
+ Calcule la lumière ambiante créée par l'objet
+
+ @position : ne serd à rien ici
+ @objet
+ @return: Vector : couleur ambiante"""
+
return object.material.ambiant*object.material.color
diff --git a/scenes/__pycache__/multiprocessing.cpython-33.pyc b/scenes/__pycache__/multiprocessing.cpython-33.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7645044adc3b046eaaed0994c6f051d98fc9fd62
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diff --git a/scenes/three_triangles.py b/scenes/three_triangles.py
new file mode 100644
index 0000000000000000000000000000000000000000..b51df60f2dea674c9793f599b3799110b1f30a53
--- /dev/null
+++ b/scenes/three_triangles.py
@@ -0,0 +1,52 @@
+# Show to python where to find the modules
+import sys
+sys.path.append('..')
+
+from camera import Camera
+from scene import *
+from light import *
+from raytracer import *
+import numpy as np
+from matplotlib.image import imsave
+import itertools
+import multiprocessing
+
+def trace_ray_mutliprocess(t):
+ (i, j, camera, scene, nb_reflexion) = t
+ return np.array(trace_ray(camera.ray_at(i, j), scene, camera, nb_reflexion).coord())
+
+(nx, ny, nb_reflexion) = (200, 200, 20)
+camera = Camera(nx, ny, 1)
+materiau_sphere_bleue = Material(Vector([0,0,1]), .5, .5, .5, 1000,0)
+materiau_sphere_verte = Material(Vector([0,1,0]), .5, .5, .5, 1000, 0)
+materiau_sphere_rouge = Material(Vector([1,0,0]), .5, .5, .5, 1000, 0)
+materiau_sphere_blanche = Material(Vector([1,1,1]), 1, 1, 1, 20, 0)
+c = (8+2*(3**.5))**.5
+l = (c**2 - 4)**.5
+v0 = Vector([0,2,2+l])
+v1 = Vector([3**.5,-1,2+l])
+v2 = Vector([-3**.5,-1,2+l])
+v3 = Vector([0,0,2])
+triangle_rouge = Triangle(v0,v1,v3,materiau_sphere_rouge)
+triangle_vert = Triangle(v1,v2,v3,materiau_sphere_verte)
+triangle_bleu = Triangle(v0,v2,v3,materiau_sphere_bleue)
+#triangle_blanc = Triangle(v0,v2,v3,materiau_sphere_blanche)
+scene = Scene()
+lumiere = Spotlight(Vector([0,0,0]), Vector([1,1,1]))
+scene.add_object(triangle_vert)
+scene.add_object(triangle_bleu)
+scene.add_object(triangle_rouge)
+#scene.add_object(triangle_blanc)
+scene.add_light(lumiere)
+affiche = np.zeros((nx, ny, 3))
+rows = list(range(nx))
+columns = list(range(ny))
+carte = list(itertools.product(rows, columns, [camera], [scene], [nb_reflexion]))
+
+if __name__ == '__main__':
+ pool = multiprocessing.Pool(4)
+ affiche_map = pool.map(trace_ray_mutliprocess, carte)
+ pool.close()
+ pool.join()
+ affiche = np.array(affiche_map).reshape(nx, ny, 3)
+ imsave('triangle.png', affiche)
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