def __init__(self,
angleOfView=90,
aspectRatio=1080 / 720,
near=0.1,
far=1000):
super().__init__()
self.projectionMatrix = Matrix.makePersepctive(angleOfView,
aspectRatio, near, far)
self.viewMatrix = Matrix.makeIdentity()
def initialize(self):
print("Initializing...")
# shaders
vsCode = """
in vec3 position;
uniform mat4 projectionMatrix;
uniform mat4 modelMatrix;
void main()
{
gl_Position = projectionMatrix * modelMatrix * vec4(position, 1.0);
}
"""
fsCode = """
out vec4 fragColor;
void main()
{
fragColor = vec4(1.0, 1.0, 0.0, 1.0);
}
"""
self.programRef = OpenGLUtils.initializeProgram(vsCode, fsCode)
# render settings
glClearColor(0.0, 0.0, 0.0, 1.0)
glEnable(GL_DEPTH_TEST)
# vao
vaoRef = glGenVertexArrays(1)
glBindVertexArray(vaoRef)
# vertex attribute
positionData = [[0.0, 0.2, 0.0], [0.1, -0.2, 0.0], [-0.1, -0.2, 0.0]]
self.vertexCount = len(positionData)
positionAttribute = Attribute("vec3", positionData)
positionAttribute.associateVariable(self.programRef, "position")
# uniforms
mMatrix = Matrix.makeTranslation(0, 0, -1)
self.modelMatrix = Uniform("mat4", mMatrix)
self.modelMatrix.locateVariable(self.programRef, "modelMatrix")
pMatrix = Matrix.makePersepctive()
self.projectionMatrix = Uniform("mat4", pMatrix)
self.projectionMatrix.locateVariable(self.programRef,
"projectionMatrix")
def get_eye() -> Matrix:
"""
Возвращает единичную матрицу
:return:
"""
return Matrix(
input_values=[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])
def scale(self, s, localCoord=True):
m = Matrix.makeScale(s)
self.applyMatrix(m, localCoord)
def rotateZ(self, angle, localCoord=True):
m = Matrix.makeRotationZ(angle)
self.applyMatrix(m, localCoord)
def translate(self, x, y, z, localCoord=True):
m = Matrix.makeTranslation(x, y, z)
self.applyMatrix(m, localCoord)
def __init__(self):
self.transform = Matrix.makeIdentity()
self.parent = None
self.children = []
def get_matrix_p(c: float) -> Matrix:
values = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, -1 / c], [0, 0, 0, 1]]
return Matrix(input_values=values)
def get_matrix_rx(c: float, s: float) -> Matrix:
""" Поворот вокруг оси X """
rx_values = [[1, 0, 0, 0], [0, c, s, 0], [0, -s, c, 0], [0, 0, 0, 1]]
return Matrix(input_values=rx_values)
def test_sum_of_squared_corfficients(self):
m = Matrix.identity(2)
self.assertEqual(sum_of_squared_coefficietns(m), 2)
m = Matrix([[-1, 1], [0, 2]])
self.assertEqual(sum_of_squared_coefficietns(m), 6)
def get_matrix_mz() -> Matrix:
""" Отражение относительно оси xOy """
values = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]]
return Matrix(input_values=values)
def get_matrix_mx() -> Matrix:
""" Отражение относительно оси yOz """
values = [[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
return Matrix(input_values=values)
def get_matrix_d(alpha: float, beta: float, gamma: float) -> Matrix:
""" Матрица растяжения (сжатия) """
d_values = [[alpha, 0, 0, 0], [0, beta, 0, 0], [0, 0, gamma, 0],
[0, 0, 0, 1]]
return Matrix(input_values=d_values)
def get_matrix_rz(c: float, s: float) -> Matrix:
""" Поворот вокруг Z """
rz_values = [[c, s, 0, 0], [-s, c, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
return Matrix(input_values=rz_values)
def get_matrix_ry(c: float, s: float) -> Matrix:
""" Поворот вокруг оси Y """
ry_values = [[c, 0, -s, 0], [0, 1, 0, 0], [s, 0, c, 0], [0, 0, 0, 1]]
return Matrix(input_values=ry_values)
def update(self):
moveAmount = 0.005
turnAmount = 0.01
# global translations
if self.input.isKeyPressed("z"):
m = Matrix.makeTranslation(0, moveAmount, 0)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("s"):
m = Matrix.makeTranslation(0, -moveAmount, 0)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("q"):
m = Matrix.makeTranslation(-moveAmount, 0, 0)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("d"):
m = Matrix.makeTranslation(moveAmount, 0, 0)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("w"):
m = Matrix.makeTranslation(0, 0, moveAmount)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("x"):
m = Matrix.makeTranslation(0, 0, -moveAmount)
self.modelMatrix.data = m @ self.modelMatrix.data
# global rotations
if self.input.isKeyPressed("a"):
m = Matrix.makeRotationZ(turnAmount)
self.modelMatrix.data = m @ self.modelMatrix.data
if self.input.isKeyPressed("e"):
m = Matrix.makeRotationZ(-turnAmount)
self.modelMatrix.data = m @ self.modelMatrix.data
# local translations
if self.input.isKeyPressed("i"):
m = Matrix.makeTranslation(0, moveAmount, 0)
self.modelMatrix.data = self.modelMatrix.data @ m
if self.input.isKeyPressed("k"):
m = Matrix.makeTranslation(0, -moveAmount, 0)
self.modelMatrix.data = self.modelMatrix.data @ m
if self.input.isKeyPressed("j"):
m = Matrix.makeTranslation(-moveAmount, 0, 0)
self.modelMatrix.data = self.modelMatrix.data @ m
if self.input.isKeyPressed("l"):
m = Matrix.makeTranslation(moveAmount, 0, 0)
self.modelMatrix.data = self.modelMatrix.data @ m
# local rotations
if self.input.isKeyPressed("u"):
m = Matrix.makeRotationZ(turnAmount)
self.modelMatrix.data = self.modelMatrix.data @ m
if self.input.isKeyPressed("o"):
m = Matrix.makeRotationZ(-turnAmount)
self.modelMatrix.data = self.modelMatrix.data @ m
# render
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT)
glUseProgram(self.programRef)
self.projectionMatrix.uploadData()
self.modelMatrix.uploadData()
glDrawArrays(GL_TRIANGLES, 0, self.vertexCount)
print(self.modelMatrix.data)
def get_matrix_t(lam, mu, nu) -> Matrix:
""" Перенос (сдвиг, смещение) на вектор (lam, mu, nu) """
values = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [lam, mu, nu, 1]]
return Matrix(input_values=values)
def test_weighted_frobenius_norm(self):
m = Matrix.identity(2)
self.assertEqual(weighted_frobenius_norm(m), 2**.5)
m = Matrix([[-1, 1], [0, 2]])
self.assertEqual(weighted_frobenius_norm(m), 6**.5)
def get_matrix_pz() -> Matrix:
values = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1]]
return Matrix(input_values=values)
