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One3D.py
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One3D.py
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from time import sleep
from typing import List, Tuple
import math
import pygame as pg
from math import cos, sin
import pygame.display
from pygame import Vector3
from pygame.math import Vector2
delta_rotation = math.pi / 18
NUMPY_POINT = False
SHOW_EDGES = True
SHOW_POINTS = False
SHOW_POINTS |= SHOW_EDGES
SHOW_POLYGONS = True
SHOW_NORMALS = False
IGNOR_NORMAL = False
CUTTING_POLYGONS = 0
CUTTING_TYPE = 1
NORMAL_COF = 15
MIN_LIGHT = 35
MIN_LIGHT_ = 0.15
## изменяется при переходе к следующему состоянию сцены
## равен сумме
_tact_3d = 0 # Глобальный счетчик состояния расчета точек
phase_3d = 0
camera_3d = 0
count_camera = 1
WHITE = (255, 255, 255)
BLACK = (0, 0, 0)
RED = (255, 0, 0)
GREEN = (0, 255, 0)
BLUE = (0, 0, 255)
DEFAULT_COLOR_POINT = BLACK
TO_UNKNOWN = -1
TO_N = 0
TO_NW = 1
TO_W = 2
TO_EW = 3
TO_E = 4
TO_ES = 5
TO_S = 6
TO_NS = 7
TO_OFFSET = [
(0, -1),
(1, -1),
(1, 0),
(1, 1),
(0, 1),
(-1, 1),
(-1, 0),
(-1, -1)
]
TACT_RESTART = 0
PHASE_OBJECT = 1 # фаза для перещета кординат точек объёков в обёкте
PHASE_MAP = 2 # фаза пересщета локальных кординат объёков в глобальные
PHASE_CAMERA = 3 # пересщет координат из глобальных в координаты камеры
PHASE_SCREEN = 4 # экранные координыты точки для текущей камеры просчитаны
PHASE_COUNT = 5
OBJECT_FLAG_MAP = 1 # в мировых координатах
OBJECT_FLAG_STATIC = 2 # не двигается
OBJECT_FLAG_MOVING = 4 # двигается
OBJECT_FLAG_DEPENDENT = 8 # зависим от родителя
OBJECT_FLAG_VISIBLE = 16 # объект можно увидеть на экране
OBJECT_FLAG_NOT_CALC_GLOBAL = 32 # расчитаны глобальные координаты
POINT_FLAG_NORMAL = 512 # это нормаль
POLYGON_FLAG_HAVENT_NORMAL = 0
POLYGON_FLAG_HAVE_NORMAL = 1
POLYGON_FLAG_COMMON_NORMAL = 2
PI2 = math.pi * 2
TO_UNKNOWN = -1
TO_N = 0
TO_NW = 1
TO_W = 2
TO_EW = 3
TO_E = 4
TO_ES = 5
TO_S = 6
TO_NS = 7
TO_OFFSET = [
(0, -1),
(1, -1),
(1, 0),
(1, 1),
(0, 1),
(-1, 1),
(-1, 0),
(-1, -1)
]
Rotation_0 = 0
Rotation_X = 1
Rotation_Y = 2
Rotation_Z = 3
MATRIX_CALC_MODE = 1
def vector_mod(vector, value):
vector.x %= value
vector.y %= value
vector.z %= value
return vector
def mul_matrix(a, b, c=None):
s = 3
if c is None:
c = [[0] * s for i in range(3)]
for i in range(s):
for j in range(s):
c[i][j] = a[i][0] * b[0][j] + a[i][1] * b[1][j] + a[i][2] * b[2][j]
return c
def crt_rotation_matrix(angle, rot_axis, c=None):
cos_a = math.cos(angle)
sin_a = math.sin(angle)
return crt_rotation_matrix_pre(cos_a, sin_a, rot_axis, c=c)
def crt_rotation_matrix_pre(cos_a, sin_a, rot_axis, c=None):
s = 3
if c is None:
c = [[0] * s for i in range(3)]
else:
for i in range(s):
for j in range(s):
c[i][j] = 0
c[0][0] = c[1][1] = c[2][2] = 1
if rot_axis == Rotation_0:
return c
# cos_a = math.cos(angle)
# sin_a = math.sin(angle)
if rot_axis == Rotation_X:
c[1][1] = cos_a
c[1][2] = -sin_a
c[2][1] = sin_a
c[2][2] = cos_a
elif rot_axis == Rotation_Y:
c[0][0] = cos_a
c[0][2] = -sin_a
c[2][0] = sin_a
c[2][2] = cos_a
elif rot_axis == Rotation_Z:
c[0][0] = cos_a
c[0][1] = -sin_a
c[1][0] = sin_a
c[1][1] = cos_a
return c
def mul_vector_matrix(a, b, c=None):
s = 3
if c is None:
c = [0] * s
for j in range(s):
c[j] = a[0] * b[0][j] + a[1] * b[1][j] + a[2] * b[2][j]
return c
def scalar_mul_vectors(a, b):
c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
return c
def sub_vectors(a, b, c=None):
s = 3
if c is None:
c = [0] * s
for j in range(s):
c[j] = a[j] - b[j]
return c
def sum_vectors(a, b, c=None):
s = 3
if c is None:
c = [0] * s
for j in range(s):
c[j] = a[j] + b[j]
return c
def vector_mul_vector(a, b, c=None):
s = 3
if c is None:
c = [0] * 3
a1, a2, a3 = a
b1, b2, b3 = b
# i = [(a2 * b3 - b2 * a3), 0, 0]
# j = [0, (a1 * b3 - b1 * a3), 0]
# k = [0, 0, (a1 * b2 - b1 * a2)]
c[:] = [(a2 * b3 - b2 * a3), -(a1 * b3 - b1 * a3), (a1 * b2 - b1 * a2)]
return c
TLISTS = (tuple, list)
def debug(param):
pass
def create_matrix_rotate3(rotate3):
# https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%80%D0%B8%D1%86%D0%B0_%D0%BF%D0%BE%D0%B2%D0%BE%D1%80%D0%BE%D1%82%D0%B0
# https://wikimedia.org/api/rest_v1/media/math/render/svg/ba4ec6507e4b6d47fb1e30e9e30734a18c02f157
x, y, z = rotate3[0], rotate3[1], rotate3[2]
sinx, siny, sinz = sin(x), sin(y), sin(z)
cosx, cosy, cosz = cos(x), cos(y), cos(z)
mat = [[cosy * cosz, -sinz * cosy, siny],
[sinx * siny * cosz + sinz * cosx, -sinx * siny * sinz + cosx * cosz, -sinx * cosy],
[sinx * sinz - siny * cosx * cosz, sinx * cosz + siny * sinz * cosx, cosx * cosy]]
return mat
# if __name__ == '__main__':
# p = PointN([1, 2, 3])
# p3 = Point3((5, 59, 3))
# p3.x = 1
# print(p3.x)
# vn1 = VectorN((1, 1, 2, 10))
# vn2 = VectorN((1, 5, 2, 10))
# class Vector3(pg.Vector3):
# @staticmethod
# def zero():
# return Vector3(0, 0, 0)
class MatrixRotation3:
def __init__(self, rotation):
self.matrix_calc_mode = MATRIX_CALC_MODE
self._rotation = Vector3(rotation)
# flags of calculated x, y, z
self.calc_flag = [False, False, False]
self._sinx, self._siny, self._sinz = 0, 0, 0
self._cosx, self._cosy, self._cosz = 0, 0, 0
self._matrix = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
self._matrixes = [None, None, None]
self._mul1_0 = None
def get_matrix(self):
if self.matrix_calc_mode == 3:
return self._matrix
if not all(self.calc_flag):
x, y, z = self._rotation.xyz
if self.matrix_calc_mode == 1:
if not self.calc_flag[0]:
self._sinx = sin(x)
self._cosx = cos(x)
if not self.calc_flag[1]:
self._siny = sin(y)
self._cosy = cos(y)
if not self.calc_flag[2]:
self._sinz = sin(z)
self._cosz = cos(z)
self._matrix = [[self._cosy * self._cosz, -self._sinz * self._cosy, self._siny],
[self._sinx * self._siny * self._cosz + self._sinz * self._cosx,
-self._sinx * self._siny * self._sinz + self._cosx * self._cosz,
-self._sinx * self._cosy],
[self._sinx * self._sinz - self._siny * self._cosx * self._cosz,
self._sinx * self._cosz + self._siny * self._sinz * self._cosx,
self._cosx * self._cosy]]
elif self.matrix_calc_mode == 2:
if not self.calc_flag[0]:
self._matrixes[0] = crt_rotation_matrix(x, Rotation_X)
if not self.calc_flag[1]:
self._matrixes[1] = crt_rotation_matrix(y, Rotation_Y)
if not self.calc_flag[2]:
self._matrixes[2] = crt_rotation_matrix(z, Rotation_Z)
if not self.calc_flag[0] or not self.calc_flag[1]:
self._mul1_0 = mul_matrix(self._matrixes[1], self._matrixes[0])
if not all(self.calc_flag):
self._matrix = mul_matrix(self._matrixes[2], self._mul1_0)
self.calc_flag = [True] * 3
return self._matrix
def set_rotation(self, rotation):
if rotation.x != self._rotation.x:
self.calc_flag[0] = False
if rotation.y != self._rotation.y:
self.calc_flag[1] = False
if rotation.z != self._rotation.z:
self.calc_flag[2] = False
if self.matrix_calc_mode == 3:
offset = Vector3(vector_mod(rotation, PI2)) - self._rotation
if offset.x:
m = crt_rotation_matrix(offset.x, Rotation_X)
self._matrix = mul_matrix(self._matrix, m)
if offset.y:
m = crt_rotation_matrix(offset.y, Rotation_Y)
self._matrix = mul_matrix(self._matrix, m)
if offset.z:
m = crt_rotation_matrix(offset.z, Rotation_Z)
self._matrix = mul_matrix(self._matrix, m)
self._rotation = vector_mod(rotation, PI2)
@property
def rotation(self):
return self._rotation
def length_squared(self):
return self._rotation.length_squared()
def __mul__(self, other):
if isinstance(other, Vector3) or (isinstance(other, list) and len(other) == 3):
# _ =
if self.matrix_calc_mode in (1, 2, 3):
return mul_vector_matrix(other, self.get_matrix())
elif self.matrix_calc_mode == 0:
return (other).rotate_z_rad(self._rotation.z).rotate_y_rad(self._rotation.y).rotate_x_rad(
self._rotation.x)
# return mul_vector_matrix(mul_vector_matrix(mul_vector_matrix(other, self._matrixes[0]), self._matrixes[1]), self._matrixes[2])
def find_intersection_plane(plane_normal: Vector3, plane_point: Vector3, vector_direction: Vector3, vector_point):
"""
Эта функция находит точку пересечения плоскости и вектора.
Args:
plane_normal: вектор, перпендикулярный плоскости.
plane_point: точка на плоскости.
vector_direction: вектор направления вектора.
vector_point: точка, из которой исходит вектор.
Returns:
Точка пересечения или None, если векторы параллельны.
"""
# Проверка на параллельность
pdv = plane_normal.dot(vector_direction)
if pdv == 0:
return None
# Расстояние от точки на плоскости до плоскости
d = plane_normal.dot(plane_point - vector_point)
# Расстояние от точки на векторе до плоскости по направлению вектора
t = d / pdv
# Точка пересечения
intersection_point = vector_point + t * vector_direction
return intersection_point
def det2d(m):
return m[0][0] * m[1][1] - m[0][1] * m[1][0]
def find_intersection_lines2d(line1_point1: Vector2, line1_point2: Vector2, line2_point1: Vector2,
line2_point2: Vector2) -> Vector2:
"""
Эта функция находит точку пересечения двух 2D-линий.
Args:
line1_point1: Координаты первой точки первой линии (tuple).
line1_point2: Координаты второй точки первой линии (tuple).
line2_point1: Координаты первой точки второй линии (tuple).
line2_point2: Координаты второй точки второй линии (tuple).
Returns:
Точка пересечения (tuple) или None, если линии не пересекаются.
"""
A = (line2_point1[0] - line2_point2[0], line2_point2[1] - line2_point1[1])
B = (line1_point1[0] - line1_point2[0], line1_point2[1] - line1_point1[1])
C = (line2_point1[0] - line1_point1[0], line1_point1[1] - line2_point1[1])
det_AB = det2d([A, B])
det_AC = det2d([A, C])
# Проверка на параллельность
if det_AB == 0:
return None
# Расчет параметра t
t = -det_AC / det_AB
line1_direction = line1_point2 - line1_point1
# line2_direction = line2_point2 - line2_point1
# Вычисление точки пересечения
intersection_point = Vector2(line1_point1[0] + t * line1_direction[0], line1_point1[1] + t * line1_direction[1])
return intersection_point
def create_normal(p0: Vector3, p1, p2):
# print(p0, p1, p2, "====", (p1 - p0).cross(p2-p0))
return (p1 - p0).cross(p2 - p0)
def get_color_of_light(color, light):
return max(color[0] * MIN_LIGHT_, min(255, color[0] * light)), max(color[1] * MIN_LIGHT_,
min(255, color[1] * light)), \
max(color[2] * MIN_LIGHT_, min(255, color[2] * light))
DEF_LAMPS = [Vector3(-0.5, -1, -0.75).normalize()]
def get_light_of_lamps(surface_normal, lamps):
if lamps:
lamp_vectors = [lamp.vector for lamp in lamps]
else:
lamp_vectors = DEF_LAMPS
light = sum([max(-surface_normal.dot(v), 0) for v in lamp_vectors])
return light
def draw_point(camera, color, position2, r=2):
pg.draw.circle(camera.surface, color, position2, r)
def draw_line(camera, color, position_1, position_2):
pg.draw.line(camera.surface, color, position_1, position_2, 1)
def draw_polygon(camera, color, positions):
if SHOW_POLYGONS:
pg.draw.polygon(camera.surface, color, positions)
if SHOW_EDGES:
pg.draw.lines(camera.surface, color, True, positions)
iiiii = 0
class None3D:
"""Nononononon """
def __init__(self, owner, position, flag=0):
self._owner = None
self.set_owner(owner)
self._children = []
self._local_position = position
self.flag = int(flag)
self._global_position = position
@property
def children(self):
return self._children
@property
def owner(self):
return self._owner
def set_owner(self, owner):
self._owner = None if isinstance(owner, Scene3D) else owner
if self._owner:
self._owner.__add_child(self)
def __add_child(self, child_object):
self.children.append(child_object)
@property
def local_position(self):
return self._local_position
@property
def position(self):
return self.global_position
@property
def global_position(self):
# global iiiii
# iiiii += 1
# if isinstance(self, VertexPoint):
# print(iiiii, self, self._local_position, self.flag, (self._owner and
# self._owner.flag), id(self.flag))
# print(iiiii, 1, id(self.flag), self.flag, self)
if self.flag & OBJECT_FLAG_MAP:
return self._local_position
if self._owner is None:
return self._local_position
# print(iiiii, 1, id(self.flag), self.flag)
if self._owner.flag & OBJECT_FLAG_NOT_CALC_GLOBAL or self._owner.flag & OBJECT_FLAG_MOVING:
# print(iiiii, 1, id(self.flag), self.flag)
self._update_global_position()
if self.flag & OBJECT_FLAG_NOT_CALC_GLOBAL:
# print(iiiii, 1, id(self.flag), self.flag)
self._update_global_position()
# print(iiiii, 2, id(self.flag), self.flag)
self.flag = self.flag - OBJECT_FLAG_NOT_CALC_GLOBAL
# print(3, id(self.flag), self.flag)
# print(self._owner, self._owner.flag & OBJECT_FLAG_NOT_CALC_GLOBAL)
return self._global_position
def _update_global_position(self):
if self._owner.matrix_rotation.length_squared() == 0:
self._global_position = self._owner.global_position + self._local_position
else:
self._global_position = (
self._owner.global_position + self._owner.get_matrix_rotation() * self._local_position)
return self._global_position
@position.setter
def position(self, value: Vector3):
# print("set", self, value)
if self.flag & OBJECT_FLAG_MAP or self._owner is None:
self._local_position = value
else:
self._local_position = value - self._owner.global_position
self.flag |= OBJECT_FLAG_NOT_CALC_GLOBAL + OBJECT_FLAG_MOVING
# for child in self._children:
# child.flag |= OBJECT_FLAG_NOT_CALC_GLOBAL
class VertexPoint(None3D):
# точка в объекте
def __init__(self, owner, position, flag=0):
if NUMPY_POINT:
self.index = position
else:
position = Vector3(position)
super().__init__(owner, position, flag)
self.tact_3d = TACT_RESTART
self.position2d_on_camera = (0, 0)
self.dist_to_camera = -1
def set_owner(self, owner):
self._owner = owner
# PHASE_OBJECT = 1 # фаза для перещета кординат точек объёков в обёкте
# PHASE_MAP = 2 # фаза пересщета локальных кординат объёков в глобальные
# PHASE_CAMERA = 3 # пересщет координат из глобальных в координаты камеры
# PHASE_SCREEN = 4 # экранные координыты точки для текущей камеры просчитаны
def calc(self, camera, target_tact_3d):
if self.tact_3d >= target_tact_3d:
"# Уже все просчитано"
return
if self.flag & OBJECT_FLAG_VISIBLE:
self.flag ^= OBJECT_FLAG_VISIBLE
self.position2d_on_camera, self.dist_to_camera, is_visible = camera.calc_point(self.global_position)
# draw_point(camera, "green", self.position2d_on_camera)
# self.tact_3d = self._owner.calc_point(camera, self)
self.tact_3d = target_tact_3d
if is_visible:
self.flag |= OBJECT_FLAG_VISIBLE
def show(self, camera, lamps, color="white"):
self.calc(camera, _tact_3d + PHASE_SCREEN)
draw_point(camera, color, self.position2d_on_camera)
# print(self.position2d_on_camera)
return self.position2d_on_camera
def init_points_from_lst(owner, points_lst, flag):
return [VertexPoint(owner, Vector3(point), flag=flag) for point in points_lst]
class Object3d(None3D):
def __init__(self, owner, position, points_lst=(), edges=(), faces=(), normals=(), rotation=(0, 0, 0), flag=0,
colors=[]):
super().__init__(owner, Vector3(position), flag)
self.color = WHITE
self._global_position = Vector3(position)
self.matrix_rotation = MatrixRotation3(Vector3(rotation))
self.flag |= OBJECT_FLAG_NOT_CALC_GLOBAL + OBJECT_FLAG_MOVING
self.points: List[VertexPoint] = init_points_from_lst(self, points_lst, flag=self.flag & OBJECT_FLAG_MAP)
self.max_radius2 = max(
[(self.position - pnt.position).length_squared() for pnt in self.points]) if self.points else 0
self.ext_points = []
self.edges = list(edges)
self.faces = list(faces)
self.normals = list(normals)
if not faces:
self.polygons = []
elif isinstance(faces[0][0], int):
# elif self.normals:
self.polygons = [Polygon(self, [self.points[i] for i in face], normal=normal,
flag=POLYGON_FLAG_HAVE_NORMAL, color=self.color)
for face, normal in zip(self.faces, self.normals)]
# print(self.faces, self.normals)
elif len(faces[0][0]) == 3:
self.polygons = [Polygon(self, [self.points[p[0]] for p in face], normal=self.normals[face[0][2]],
flag=POLYGON_FLAG_HAVE_NORMAL, color=self.color) for face in self.faces]
if colors:
for _color, poly in zip(colors, self.polygons):
if _color:
poly.color = _color
self.tact_3d = TACT_RESTART
# : разобрать точки на внешние и внутрение
def __copy__(self):
points_lst = [pnt.local_position for pnt in self.points]
return self.__class__(self.owner, self.position, points_lst, [], faces=self.faces, normals=self.normals,
rotation=self.rotation, flag=self.flag)
@property
def rotation(self):
return self.matrix_rotation.rotation
def set_rotation(self, rotation):
self.matrix_rotation.set_rotation(rotation)
self.flag |= OBJECT_FLAG_MOVING
# for child in self._children:
# child.flag |= OBJECT_FLAG_NOT_CALC_GLOBAL
# for child in self.points:
# child.flag |= OBJECT_FLAG_NOT_CALC_GLOBAL
def get_matrix_rotation(self):
return self.matrix_rotation
def calc_point(self, camera, point: VertexPoint):
pass
def add_point(self, point: VertexPoint):
self.points.append(point)
def add_ext_point(self, point: VertexPoint):
self.ext_points.append(point)
def calc(self, camera, target_tact_3d):
# print("calc", self)
if self.tact_3d >= target_tact_3d:
# Уже все просчитано
return
if self.flag & OBJECT_FLAG_VISIBLE:
self.flag ^= OBJECT_FLAG_VISIBLE
if camera.object_is_visible(self):
self.flag |= OBJECT_FLAG_VISIBLE
for point in self.points:
point.calc(camera, target_tact_3d)
for polygon in self.polygons:
polygon.calc(camera)
self.tact_3d = target_tact_3d
if self.flag & OBJECT_FLAG_MOVING:
self.flag -= OBJECT_FLAG_MOVING
def show(self, camera, lamps):
color = pg.color.Color(WHITE)
self.calc(camera, _tact_3d + PHASE_SCREEN)
if self.flag & OBJECT_FLAG_VISIBLE:
if SHOW_POINTS:
points2d = []
for point in self.points:
if point.flag & OBJECT_FLAG_VISIBLE:
points2d.append(point.show(camera, lamps))
point.flag ^= OBJECT_FLAG_VISIBLE
else:
points2d.append(None)
if SHOW_EDGES and not self.faces:
for pos_i1, pos_i2 in self.edges:
if points2d[pos_i1] and points2d[pos_i2]:
draw_line(camera, color, points2d[pos_i1], points2d[pos_i2])
# if SHOW_POLYGONS:
# for polygon in self.polygons:
# polygon.show(camera, lamps)
class Surface3d(object):
def __init__(self, owner, polygons=[]):
self.owner = owner
self.polygons = polygons
self.tact_3d = TACT_RESTART
class Surface3dMonocolor(Surface3d):
def __init__(self, owner, polygons=[], rgb=WHITE, alpha=255):
super(Surface3dMonocolor, self).__init__(owner, polygons)
self.rgb = rgb
self.alpha = alpha
class Polygon:
def __init__(self, owner, points: List[VertexPoint], flag=0, normal=(0, 0, 0), color=WHITE, cuttings=0):
self.owner = owner
self.color = color
self.points = points
self.points2d_on_camera = []
self.flag = int(flag)
self.cuttings = cuttings
self._init_normal = Vector3(normal)
if self._init_normal.length() > 0:
self._init_normal.normalize_ip()
self._center_point = VertexPoint(owner, self.get_center_position(), flag=OBJECT_FLAG_NOT_CALC_GLOBAL)
self._init_normal_point = VertexPoint(owner, self._center_point.local_position + Vector3(normal) * NORMAL_COF,
flag=OBJECT_FLAG_NOT_CALC_GLOBAL + POINT_FLAG_NORMAL)
if flag & POLYGON_FLAG_HAVE_NORMAL:
self.normal: Vector3 = self.update_normal()
else:
# None
self.normal: Vector3 = Vector3(0)
def get_center_position(self):
return sum([pnt.local_position for pnt in self.points], Vector3(0)) / len(self.points)
def update_normal(self):
self.normal = (self._init_normal_point.position - self._center_point.position).normalize()
# self.normal = Vector3(self.owner.get_matrix_rotation() * self._init_normal)
return self.normal
def calc(self, camera):
if self.flag & OBJECT_FLAG_VISIBLE:
self.flag ^= OBJECT_FLAG_VISIBLE
vis_points: List[VertexPoint] = [pnt for pnt in self.points if pnt.flag & OBJECT_FLAG_VISIBLE]
if vis_points:
vec = self._center_point.position - camera.position
if self.owner.flag & OBJECT_FLAG_MOVING:
self.update_normal()
# print(self.normal, vec, vec.dot(self.normal))
if vec.dot(self.normal) < 0 or IGNOR_NORMAL:
if len(vis_points) == len(self.points):
self.flag |= OBJECT_FLAG_VISIBLE
camera.polygons.add(self)
self.points2d_on_camera = [pnt.position2d_on_camera for pnt in self.points]
elif CUTTING_TYPE == 1:
self.points2d_on_camera = []
for i in range(len(self.points)):
p = self.points[i]
if p.flag & OBJECT_FLAG_VISIBLE:
self.points2d_on_camera.append(p.position2d_on_camera)
elif p.dist_to_camera > 0:
p2 = self.points[i - 1]
if p2.flag & OBJECT_FLAG_VISIBLE:
n_point = camera.cut_line2d(p2.position2d_on_camera, p.position2d_on_camera)
if n_point:
self.points2d_on_camera.append(n_point)
p2 = self.points[(i + 1) % len(self.points)]
if p2.flag & OBJECT_FLAG_VISIBLE:
n_point = camera.cut_line2d(p2.position2d_on_camera, p.position2d_on_camera)
if n_point:
self.points2d_on_camera.append(n_point)
if len(self.points2d_on_camera) >= 3:
self.flag |= OBJECT_FLAG_VISIBLE
camera.polygons.add(self)
elif self.cuttings < CUTTING_POLYGONS and len(self.points) == 3:
if len(vis_points) == 2:
p1, p2 = vis_points
p3 = [pnt for pnt in self.points if not pnt.flag & OBJECT_FLAG_VISIBLE][0]
if p3.dist_to_camera < 0:
return
else:
p1 = vis_points[0]
p2, p3 = [pnt for pnt in self.points if not pnt.flag & OBJECT_FLAG_VISIBLE]
if p2.dist_to_camera < 0 or p3.dist_to_camera < 0:
return
p3_ = VertexPoint(p1.owner, p3.position + (p1.position - p3.position) / 2)
p3_.calc(camera, _tact_3d)
if not p3_.flag & OBJECT_FLAG_VISIBLE:
p3_ = VertexPoint(p2.owner, p3.position + (p2.position - p3.position) / 2)
p3_.calc(camera, _tact_3d)
Polygon(self.owner, [p3, p1, p3_], flag=self.flag, normal=self.normal,
color=self.color, cuttings=self.cuttings + 1).calc(camera)
else:
Polygon(self.owner, [p3, p2, p3_], flag=self.flag, normal=self.normal,
color=self.color, cuttings=self.cuttings + 1).calc(camera)
poly_1 = Polygon(self.owner, [p1, p2, p3_], flag=self.flag, normal=self.normal,
color=self.color, cuttings=self.cuttings + 1)
poly_1.calc(camera)
def show(self, camera, lamps):
if self.flag & OBJECT_FLAG_VISIBLE:
# self._center_point.calc(camera, _tact_3d + PHASE_SCREEN)
light = get_light_of_lamps(self.normal, lamps)
# z = self._center_point.dist_to_camera
# if z > 0:
# light += 0.1
# light *= (10000 - z) / 10000
# points2d = [pnt.position2d_on_camera for pnt in self.points]
draw_polygon(camera, get_color_of_light(self.color, light), self.points2d_on_camera)
if SHOW_NORMALS:
self._init_normal_point.calc(camera, _tact_3d + PHASE_SCREEN)
# self._init_normal_point.show(camera, lamps, color="green")
self._center_point.show(camera, lamps, color="green")
draw_line(camera, "red", self._center_point.position2d_on_camera,
self._init_normal_point.position2d_on_camera)
class FlatSurface3d(Surface3d):
def __init__(self, owner, polygons: List[Polygon] = [], normal=None):
super(FlatSurface3d, self).__init__(owner, polygons)
if normal == None:
normal = polygons[0].update_normal()
self.normal = normal
def is_show(self):
## point =
return
# def get_map_xyz(self):
#
# return position
# def get_screen_xy(self):
#
# r_matrix = pg.struct_3d["rm"]
# o_xyz = pg.struct_3d["O"]
# x, y = xy
# z *= pg.scale
# v_xyz = sum_vectors(mul_vector_matrix((x, y, z), r_matrix), o_xyz)
# x, y, z = v_xyz
# K = self.focus / (self.focus + z)
# x, y = (int(x * K)+self.offset_x, int(y * K)+self.offset_x)
# if 0 <= x <= self.width and 0 <= y <= self.height:
# return (x, y)
# return None
def convert_faces_to_lines(faces):
lines = set()
for face in faces:
lines.add(tuple(sorted((face[0], face[-1]))))
lines |= {tuple(sorted((face[i], face[i + 1]))) for i in range(len(face) - 1)}
return lines
def create_cube(owner, position, size, flag=0, color=WHITE):
return create_box(owner, position, (size, size, size), flag, color=color)
def create_box(owner, position, size3, flag=0, color=WHITE, no_faces=False):
hx, hy, hz = (Vector3(size3) / 2).xyz
if flag & OBJECT_FLAG_MAP:
x, y, z = Vector3(position).xyz
else:
x, y, z = 0, 0, 0
points3 = [
(x - hx, y + hy, z + hz),
(x - hx, y + hy, z - hz),
(x + hx, y + hy, z - hz),
(x + hx, y + hy, z + hz),
(x - hx, y - hy, z + hz),
(x - hx, y - hy, z - hz),
(x + hx, y - hy, z - hz),
(x + hx, y - hy, z + hz),
(x, y, z), ]
faces = [(0, 1, 2, 3), (7, 6, 5, 4), (0, 4, 5, 1), (1, 2, 6, 5), (3, 2, 6, 7), (0, 3, 7, 4)]
colors = [color] * len(faces)
edges = [(0, 1), (1, 2), (2, 3), (3, 0), (7, 6), (6, 5), (5, 4), (4, 7)]
if no_faces:
faces = []
normals = [(0, 1, 0), (0, -1, 0), (-1, 0, 0), (0, 0, -1), (1, 0, 0), (0, 0, 1)]
# faces = [(1, 2, 6, 5)]
# normals = [(0, 0, -1)]
return Object3d(owner, position, points3, edges, faces, normals, flag=flag, colors=colors)
def create_sys_coord(owner, position, length, width, colors=(RED, GREEN, BLUE)):
obj = Object3d(owner, position)
if isinstance(length, (float, int)):
length = length, length, length
box_x = create_box(obj, Vector3(length[0] / 2, 0, 0), Vector3(length[0], width, width), color=colors[0])
box_y = create_box(obj, Vector3(0, length[1] / 2, 0), Vector3(width, length[1], width), color=colors[1])
box_z = create_box(obj, Vector3(0, 0, length[2] / 2), Vector3(width, width, length[2]), color=colors[2])
obj.x_length, obj.y_length, obj.z_length = length
return obj
def open_file_obj(path, scale=1, _convert_faces_to_lines=False, ):
if isinstance(scale, int):
scale = (scale, scale, scale)
with open(path, "r") as f:
lines = f.readlines()
vertexes = []
faces = []
normals = []
normals_of_face = {}
vertex_index_offset = 0
i = 0
for line in lines:
i += 1
if not line.replace(" ", "") or line[0] == "#":
continue
try:
b = line.split()[0]
except Exception as ex:
b = None
print(f"Warning line {i} open obj", line, ex)
if b == "o":
# object
vertex_index_offset = len(vertexes)
if b == "v":
split = line.split()
vertex = [float(split[i + 1]) * scale[i] for i in range(3)]
vertexes.append(vertex)
if b == "vn":
split = line.split()
normal = [float(split[i + 1]) for i in range(3)]
normals.append(normal)
if b == "f":
face = []
for st in line.split(" ")[1:]:
try:
ar = list(map(lambda ii: int(ii) - 1 if ii else -1, st.split("/")))
except:
print(line)
if len(ar) == 1:
ar = [ar[0], None, None]
if len(ar) == 2:
ar = [ar[0], None, ar[1]]
face.append(ar)
faces.append(face)
if _convert_faces_to_lines:
return vertexes, convert_faces_to_lines(faces), faces, normals
return vertexes, faces, normals
def convert_faces_to_lines(faces):
lines = set()
for face in faces:
lines.add(tuple(sorted((face[0], face[-1]))))
lines |= {tuple(sorted((face[i], face[i + 1]))) for i in range(len(face) - 1)}
return lines
def load_object_from_fileobj(owner, position, path, scale=1, flag=0, color=WHITE):
vertexes, faces, normals = open_file_obj(path, scale, _convert_faces_to_lines=False)
print(f"Load model: {path}, vertexes: {len(vertexes)}, faces: {len(faces)}, normals: {len(normals)}")
edges = []
colors = [color] * len(faces)
obj = Object3d(owner, position, vertexes, edges, faces, normals, flag=flag, colors=colors)
return obj
class Scene3D(object):
def __init__(self):
self.static: List[Object3d] = []
self.lamps = []
def add_static(self, obj: Object3d | List[Object3d], auto_add_children=True):
if isinstance(obj, (list, tuple)):
for obj_ in obj:
self.add_static(obj_)
else:
self.static.append(obj)
if auto_add_children and obj.children:
for obj_ in obj.children:
self.add_static(obj_)
def show(self, camera):
for obj in self.static:
obj.show(camera, self.lamps)
class CameraPolygons:
def __init__(self, camera, scene):
self.camera = camera
self.scene = scene
self.polygons: List[Tuple[Polygon, int]] = []
def add(self, polygon: Polygon):
max_dist = max([pnt.dist_to_camera for pnt in polygon.points + []])
self.polygons.append((polygon, max_dist))
def clear(self):
self.polygons.clear()
def show(self):
self.polygons.sort(key=lambda x: x[1], reverse=True)
for element in self.polygons:
element[0].show(self.camera, self.scene.lamps)
class Camera(None3D):
def __init__(self, owner, scene: Scene3D, surface: pg.Surface, position: Vector3, rotation: Vector3,
fov: float = math.pi / 3, background=BLACK):
super().__init__(owner, Vector3(position), flag=0)
self.surface = surface
self.scene = scene
self.background = background
self.width, self.height = surface.get_size()
self.surface_rect = pg.Rect(0, 0, self.width, self.height)
self.half_w, self.half_h = self.width // 2, self.height // 2
self.fov = fov
self.focus = math.atan(self.fov / 2) * self.half_w
print(self.focus)
# init property enable
self._active = True
self._visible_distance = 15000
self._visible_distance2 = self._visible_distance ** 2
self.matrix_rotation = MatrixRotation3(rotation)
self.matrix_rotation.matrix_calc_mode = 2
self.polygons = CameraPolygons(self, self.scene)