def set_camera(self, width, height): """ Update the shown scene after the perspective has changed. """ rightt = self.mat[:3, 0] upt = self.mat[:3, 1] pt = self.mat[:3, 2] * self.d t = self.mat[:3, 3] self.proj_mat = create_perspective_projection_matrix(np.radians(self.fov), 1. * width / height, self.near, self.far) gr3.setcameraprojectionparameters(self.fov, self.near, self.far) self.lookat_mat = create_look_at_matrix(pt + t, t, upt) gr3.cameralookat(pt[0] + t[0], pt[1] + t[1], pt[2] + t[2], t[0], t[1], t[2], upt[0], upt[1], upt[2])
gr.settextcolorind(2) gr.textext(0.05, 0.08, 'y_{A}:%6.2f' % acceleration) gr.updatews() return theta = 110.0 # initial angle gamma = 0.1 # damping coefficient L = 1 # pendulum length t = 0 dt = 0.04 state = array([theta * pi / 180, 0]) gr3.init() gr3.setcameraprojectionparameters(45, 1, 100) gr3.cameralookat(0, -2, 6, 0, -2, 0, 0, 1, 0) gr3.setbackgroundcolor(1, 1, 1, 1) gr3.setlightdirection(1, 1, 10) now = time.clock() while t < 30: start = now t, state = rk4(t, dt, state, damped_pendulum_deriv) theta, omega = state acceleration = sqrt(2 * g * L * (1 - cos(theta))) pendulum(t, theta, omega, acceleration) now = time.clock()
def display(): global window_width, window_height, rx gr3.setbackgroundcolor(1, 1, 1, 1) # set up camera gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10 * math.cos(-rx * math.pi / 2), 10 * math.sin(-rx * math.pi / 2), 0, 0, 0, 0, 0, 0, 1) gr3.drawimage(0, window_width, 0, window_height, window_width, window_height, gr3.GR3_Drawable.GR3_DRAWABLE_OPENGL) glViewport(0, 0, window_width, window_height) glDisable(GL_LIGHTING) glDisable(GL_DEPTH_TEST) glMatrixMode(GL_MODELVIEW) glPushMatrix() glLoadIdentity() glMatrixMode(GL_PROJECTION) glPushMatrix() glLoadIdentity() glColor4f(1, 0, 0, 1) x, y = 0, 0.22 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"This is a GLUT window in which GR3 renders": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) y -= 0.05 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"a scene. You can drag the mouse to rotate the": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) y -= 0.05 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"molecule or right-click to open a context menu.": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) glEnable(GL_DEPTH_TEST) glEnable(GL_LIGHTING) glMatrixMode(GL_MODELVIEW) glPopMatrix() glMatrixMode(GL_PROJECTION) glPopMatrix() glutSwapBuffers() gr.clearws() selntran(0) gr3.setquality(4) gr3.drawimage(0, 0.5, 0.5, 1, 250, 250, gr3.GR3_Drawable.GR3_DRAWABLE_GKS) gr.settextcolorind(1) gr.settextfontprec(6, 0) x = list(range(5)) y = list(range(5)) nominalWindowHeight = 500.0 pointSize = (8, 9, 10, 11, 12, 14, 18, 24, 36) s = "i\\hbar\\frac{\\partial\\psi}{\\partial t} = \\frac{\\hbar^2}{2m}\\nabla^2\\psi + V(\\mathbf{r})\\psi" x = 0.9 y = 0.9 gr.settextalign(3, 3) for i in range(8): gr.setcharheight(pointSize[i] / nominalWindowHeight) gr.mathtex(x, y, s) y -= 4 * pointSize[i] / nominalWindowHeight gr.setcharheight(0.1) gr.mathtex(0.9, 0.05, "Hello World!") gr.settextcolorind(8) gr.text(0.9, 0.05, "Hello World!") gr.updatews() gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10 * math.cos(-rx * math.pi / 2), 10 * math.sin(-rx * math.pi / 2), 0, 0, 0, 0, 0, 0, 1)
def display(): global window_width, window_height, rx gr3.setbackgroundcolor(1, 1, 1, 1) # Kamera einstellen gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10 * math.cos(-rx * math.pi / 2), 10 * math.sin(-rx * math.pi / 2), 0, 0, 0, 0, 0, 0, 1) gr3.drawimage(0, window_width, 0, window_height, window_width, window_height, gr3.GR3_Drawable.GR3_DRAWABLE_OPENGL) glViewport(0, 0, window_width, window_height) glDisable(GL_LIGHTING) glDisable(GL_DEPTH_TEST) glMatrixMode(GL_MODELVIEW) glPushMatrix() glLoadIdentity() glMatrixMode(GL_PROJECTION) glPushMatrix() glLoadIdentity() glColor4f(1, 0, 0, 1) x, y = 0, 0.22 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"Dies ist ein GLUT-Fenster, in dem mit GR3 eine": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) y -= 0.05 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"Szene gerendert wird. Mit der Maus kann man": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) y -= 0.05 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"das dargestellte Molekül rotieren lassen.": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18, ord(c)) y -= 0.04 glRasterPos2f(x * 2 - 1, y * 2 - 1) for c in u"(Rechtsklick öffnet das Kontextmenü)": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_12, ord(c)) glEnable(GL_DEPTH_TEST) glEnable(GL_LIGHTING) glMatrixMode(GL_MODELVIEW) glPopMatrix() glMatrixMode(GL_PROJECTION) glPopMatrix() glutSwapBuffers() gr.clearws() selntran(0) gr3.setquality(4) gr3.drawimage(0, 0.5, 0.5, 1, 250, 250, gr3.GR3_Drawable.GR3_DRAWABLE_GKS) gr.settextcolorind(1) gr.settextfontprec(6, 0) x = list(range(5)) y = list(range(5)) nominalWindowHeight = 500.0 pointSize = (8, 9, 10, 11, 12, 14, 18, 24, 36) s = "i\\hbar\\frac{\\partial\\psi}{\\partial t} = \\frac{\\hbar^2}{2m}\\nabla^2\\psi + V(\\mathbf{r})\\psi" x = 0.9 y = 0.9 gr.settextalign(3, 3) for i in range(8): gr.setcharheight(pointSize[i] / nominalWindowHeight) gr.mathtex(x, y, s) y -= 4 * pointSize[i] / nominalWindowHeight gr.setcharheight(0.1) gr.mathtex(0.9, 0.05, "Hello World!") gr.settextcolorind(8) gr.text(0.9, 0.05, "Hello World!") gr.updatews() gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10 * math.cos(-rx * math.pi / 2), 10 * math.sin(-rx * math.pi / 2), 0, 0, 0, 0, 0, 0, 1)
def display(): global window_width, window_height, rx gr3.setbackgroundcolor(1,1,1,1) # Kamera einstellen gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10*math.cos(-rx*math.pi/2), 10*math.sin(-rx*math.pi/2), 0, 0, 0, 0, 0, 0, 1) gr3.drawimage(0, window_width, 0, window_height, window_width, window_height, gr3.GR3_Drawable.GR3_DRAWABLE_OPENGL) glViewport(0,0,window_width,window_height); glDisable(GL_LIGHTING) glDisable(GL_DEPTH_TEST) glMatrixMode(GL_MODELVIEW) glPushMatrix() glLoadIdentity() glMatrixMode(GL_PROJECTION) glPushMatrix() glLoadIdentity() glColor4f(1,0,0,1) x, y = 0, 0.22 glRasterPos2f(x*2-1,y*2-1) for c in u"Dies ist ein GLUT-Fenster, in dem mit GR3 eine": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18,ord(c)) y-=0.05 glRasterPos2f(x*2-1,y*2-1) for c in u"Szene gerendert wird. Mit der Maus kann man": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18,ord(c)) y-=0.05 glRasterPos2f(x*2-1,y*2-1) for c in u"das dargestellte Molekül rotieren lassen.": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_18,ord(c)) y-=0.04 glRasterPos2f(x*2-1,y*2-1) for c in u"(Rechtsklick öffnet das Kontextmenü)": glutBitmapCharacter(GLUT_BITMAP_HELVETICA_12,ord(c)) glEnable(GL_DEPTH_TEST) glEnable(GL_LIGHTING) glMatrixMode(GL_MODELVIEW) glPopMatrix() glMatrixMode(GL_PROJECTION) glPopMatrix() glutSwapBuffers() gr.clearws() selntran(0) gr3.setquality(4) gr3.drawimage(0, 0.5, 0.5, 1, 250, 250, gr3.GR3_Drawable.GR3_DRAWABLE_GKS) gr.settextcolorind(1) gr.settextfontprec(6,0) x = list(range(5)) y = list(range(5)) nominalWindowHeight = 500.0 pointSize = ( 8, 9, 10, 11, 12, 14, 18, 24, 36 ) s = "i\\hbar\\frac{\\partial\\psi}{\\partial t} = \\frac{\\hbar^2}{2m}\\nabla^2\\psi + V(\\mathbf{r})\\psi" x = 0.9 y = 0.9; gr.settextalign(3, 3) for i in range(8): gr.setcharheight(pointSize[i] / nominalWindowHeight) gr.mathtex(x, y, s) y -= 4 * pointSize[i] / nominalWindowHeight gr.setcharheight(0.1) gr.mathtex(0.9, 0.05, "Hello World!") gr.settextcolorind(8) gr.text(0.9, 0.05, "Hello World!") gr.updatews() gr3.setcameraprojectionparameters(45, 1, 200) gr3.cameralookat(10*math.cos(-rx*math.pi/2), 10*math.sin(-rx*math.pi/2), 0, 0, 0, 0, 0, 0, 1)
gr.textext(0.05, 0.12, '\\omega:%7.2f' % omega) gr.settextcolorind(2) gr.textext(0.05, 0.08, 'y_{A}:%6.2f' % acceleration) gr.updatews() return theta = 110.0 # initial angle gamma = 0.1 # damping coefficient L = 1 # pendulum length t = 0 dt = 0.04 state = array([theta * pi / 180, 0]) gr3.init() gr3.setcameraprojectionparameters(45, 1, 100) gr3.cameralookat(0, -2, 6, 0, -2, 0, 0, 1, 0) gr3.setbackgroundcolor(1, 1, 1, 1) gr3.setlightdirection(1, 1, 10) now = time.clock() while t < 30: start = now t, state = rk4(t, dt, state, damped_pendulum_deriv) theta, omega = state acceleration = sqrt(2 * g * L * (1 - cos(theta))) pendulum(t, theta, omega, acceleration) now = time.clock()