A Less Trivial Parallel Projection
In this example, the parameters are chosen randomly. Hopefully my code is correct and we get the correct transformation!
#define X 0.0 #define Y 0.0 #define Z 0.0
#define LX 1.0 #define LY 1.0 #define LZ 1.0
double p0[] = { X + 0.0, Y + 0.0, Z + 0.0}; double p1[] = { X + LX, Y + 0.0, Z + 0.0}; double p2[] = { X + 0.0, Y + LY, Z + 0.0}; double p3[] = { X + 0.0, Y + 0.0, Z + LZ}; double p4[] = { X + LX, Y + LY, Z + 0.0}; double p5[] = { X + LX, Y + 0.0, Z + LZ}; double p6[] = { X + 0.0, Y + LY, Z + LZ}; double p7[] = { X + LX, Y + LY, Z + LZ};
main() { set_debug_3(1); init_graphics_3(); set_viewport(0.,0.,1.,1.);
set_projection_type("parallel"); set_direction_of_projection(0.2,0.3,-1.); set_view_reference_point(-1.,-1.,-2.); set_window_3(-4.,-3.,5.,6.); set_view_plane_normal(0.3,0.1,1.4); set_view_up_vector(0.5,1.,0.2); set_front_back_clipping_planes(4.0,-1.0);
set_color_from_table(1); join(p0,p1); join(p1,p4); join(p4,p2); join(p2,p0); set_color_from_table(2); join(p3,p5); join(p5,p7); join(p7,p6); join(p6,p3); set_color_from_table(3); join(p0,p3); join(p1,p5); join(p4,p7); join(p2,p6); end_frame_3(); }
join(p,q) double p[3],q[3]; { line_3(p[0],p[1],p[2],q[0],q[1],q[2]); }
###############################################################################
DEBUG OUTPUT
Entered init_graphics_3 Calling init_graphics Returning from init_graphics_3
set_projection_type(parallel)
set_direction_of_projection(0.2,0.3,-1)
set_view_reference_point(-1,-1,-2)
set_window_3(-4,-3,5,6)
set_view_plane_normal(0.3,0.1,1.4)
set_view_up_vector(0.5,1,0.2)
set_front_back_clipping_plane(4,-1)
Can now proceed to compute Transformations
START CREATING TRANSFORM
Current 4D N matrix: 1.000000 0.000000 0.000000 0.000000 0.000000 1.000000 0.000000 0.000000 0.000000 0.000000 1.000000 0.000000 0.000000 0.000000 0.000000 1.000000
Showing active points and vectors in current coordinates
Current 4D vrp vector: -1.000000 -1.000000 -2.000000 1.000000
Current 4D vup vector: 0.500000 1.000000 0.200000 0.000000
Current 4D vpn vector: 0.300000 0.100000 1.400000 0.000000
Current 4D dop vector: 0.200000 0.300000 -1.000000 0.000000
Computing Tvrp from parameters: -VRP = 1 1 2
Current 4D Tvrp matrix: 1.000000 0.000000 0.000000 1.000000 0.000000 1.000000 0.000000 1.000000 0.000000 0.000000 1.000000 2.000000 0.000000 0.000000 0.000000 1.000000
Current 4D N matrix: 1.000000 0.000000 0.000000 1.000000 0.000000 1.000000 0.000000 1.000000 0.000000 0.000000 1.000000 2.000000 0.000000 0.000000 0.000000 1.000000
Computing R from: vpn = 0.3 0.1 1.4 vup = 0.5 1 0.2
Current 4D Tvrp matrix: 1.000000 0.000000 0.000000 1.000000 0.000000 1.000000 0.000000 1.000000 0.000000 0.000000 1.000000 2.000000 0.000000 0.000000 0.000000 1.000000
Current 4D N matrix: 0.895180 -0.415156 -0.162170 0.155683 0.393655 0.907078 -0.149146 1.002441 0.209020 0.069673 0.975426 2.229546 0.000000 0.000000 0.000000 1.000000
Updating coordinates after transformation R*Tvrp:
Current 4D vrp' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D vup' vector: -0.000000 1.074077 0.369268 0.000000
Current 4D vpn' vector: 0.000000 0.000000 1.435270 0.000000
Current 4D dop' vector: 0.216659 0.500000 -0.912720 0.000000
Initializing the window points in uvn coordinates:
Current 4D cw' vector: 0.500000 1.500000 0.000000 1.000000
Current 4D llw' vector: -4.000000 -3.000000 0.000000 1.000000
Current 4D urw' vector: 5.000000 6.000000 0.000000 1.000000
Current 4D cl' vector: 0.216659 0.500000 -0.912720 0.000000
Current 4D cbp' vector: 0.737378 2.047813 -1.000000 1.000000
Current 4D cfp' vector: -0.449511 -0.691254 4.000000 1.000000
Computing SH from parameters shx shy = 0.237378 0.547813
Current 4D SH matrix: 1.000000 0.000000 0.237378 0.000000 0.000000 1.000000 0.547813 0.000000 0.000000 0.000000 1.000000 0.000000 0.000000 0.000000 0.000000 1.000000
Current 4D N matrix: 0.944796 -0.398617 0.069374 0.684928 0.508159 0.945246 0.385206 2.223817 0.209020 0.069673 0.975426 2.229546 0.000000 0.000000 0.000000 1.000000
Updating coordinates after transformation SH:
Current 4D vrp'' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D vup'' vector: 0.087656 1.276367 0.369268 0.000000
Current 4D vpn'' vector: 0.340701 0.786260 1.435270 0.000000
Current 4D dop'' vector: 0.000000 0.000000 -0.912720 0.000000
Current 4D cw'' vector: 0.500000 1.500000 0.000000 1.000000
Current 4D cbp'' vector: 0.500000 1.500000 -1.000000 1.000000
Current 4D cfp'' vector: 0.500000 1.500000 4.000000 1.000000
Current 4D llw'' vector: -4.000000 -3.000000 0.000000 1.000000
Current 4D urw'' vector: 5.000000 6.000000 0.000000 1.000000
Current 4D cl'' vector: 0.000000 0.000000 -0.912720 0.000000
Computing Tcfp from parameters: -CFP = -0.5 -1.5 -4
Current 4D Tcfp matrix: 1.000000 0.000000 0.000000 -0.500000 0.000000 1.000000 0.000000 -1.500000 0.000000 0.000000 1.000000 -4.000000 0.000000 0.000000 0.000000 1.000000
Current 4D N matrix: 0.944796 -0.398617 0.069374 0.184928 0.508159 0.945246 0.385206 0.723817 0.209020 0.069673 0.975426 -1.770454 0.000000 0.000000 0.000000 1.000000
Updating coordinates after transformation Tcfp:
Current 4D vrp''' vector: -0.500000 -1.500000 -4.000000 1.000000
Current 4D vup''' vector: 0.087656 1.276367 0.369268 0.000000
Current 4D vpn''' vector: 0.340701 0.786260 1.435270 0.000000
Current 4D dop''' vector: 0.000000 0.000000 -0.912720 0.000000
Current 4D cw''' vector: 0.000000 0.000000 -4.000000 1.000000
Current 4D cbp''' vector: 0.000000 0.000000 -5.000000 1.000000
Current 4D cfp''' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D llw''' vector: -4.500000 -4.500000 -4.000000 1.000000
Current 4D urw''' vector: 4.500000 4.500000 -4.000000 1.000000
Current 4D cl''' vector: 0.000000 0.000000 -0.912720 0.000000
Before scaling, view volume lengths = 9 9 5
Computing S from parameters sx sy sz = 0.222222 0.222222 0.2
Current 4D S matrix: 0.222222 0.000000 0.000000 0.000000 0.000000 0.222222 0.000000 0.000000 0.000000 0.000000 0.200000 0.000000 0.000000 0.000000 0.000000 1.000000
Current 4D N matrix: 0.209955 -0.088582 0.015416 0.041095 0.112924 0.210055 0.085601 0.160848 0.041804 0.013935 0.195085 -0.354091 0.000000 0.000000 0.000000 1.000000
Updating coordinates after transformation S:
Current 4D vrp'''' vector: -0.111111 -0.333333 -0.800000 1.000000
Current 4D vup'''' vector: 0.019479 0.283637 0.073854 0.000000
Current 4D vpn'''' vector: 0.075711 0.174724 0.287054 0.000000
Current 4D dop'''' vector: 0.000000 0.000000 -0.182544 0.000000
Current 4D cw'''' vector: 0.000000 0.000000 -0.800000 1.000000
Current 4D cbp'''' vector: 0.000000 0.000000 -1.000000 1.000000
Current 4D cfp'''' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D llw'''' vector: -1.000000 -1.000000 -0.800000 1.000000
Current 4D urw'''' vector: 1.000000 1.000000 -0.800000 1.000000
Current 4D cl'''' vector: 0.000000 0.000000 -0.182544 0.000000
Current 4D Mpar matrix: 1.000000 0.000000 0.000000 0.000000 0.000000 1.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 1.000000
Calling 2D set_window(-1,-1, 1,1)
FINISHED CREATING TRANSFORM
line_3(0,0,0, 1,0,0)
Current 4D Start of line in world coords''''' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 0.000000 0.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.041095 0.160848 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.041095 0.160848
Current 4D End of clipped line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.251050 0.273772 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.251050 0.273772
Calling line(0.0410951,0.160848, 0.25105,0.273772)
Leaving clip_line Leaving line_3(0,0,0, 1,0,0)
line_3(1,0,0, 1,1,0)
Current 4D Start of line in world coords''''' vector: 1.000000 0.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 1.000000 0.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.251050 0.273772 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.251050 0.273772
Current 4D End of clipped line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.162468 0.483827 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.162468 0.483827
Calling line(0.25105,0.273772, 0.162468,0.483827)
Leaving clip_line Leaving line_3(1,0,0, 1,1,0)
line_3(1,1,0, 0,1,0)
Current 4D Start of line in world coords''''' vector: 1.000000 1.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 1.000000 0.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.162468 0.483827 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.162468 0.483827
Current 4D End of clipped line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: -0.047486 0.370903 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.047486 0.370903
Calling line(0.162468,0.483827, -0.0474865,0.370903)
Leaving clip_line Leaving line_3(1,1,0, 0,1,0)
line_3(0,1,0, 0,0,0)
Current 4D Start of line in world coords''''' vector: 0.000000 1.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: -0.047486 0.370903 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.047486 0.370903
Current 4D End of clipped line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.041095 0.160848 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.041095 0.160848
Calling line(-0.0474865,0.370903, 0.0410951,0.160848)
Leaving clip_line Leaving line_3(0,1,0, 0,0,0)
line_3(0,0,1, 1,0,1)
Current 4D Start of line in world coords''''' vector: 0.000000 0.000000 1.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 0.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.056512 0.246449 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.056512 0.246449
Current 4D End of clipped line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.266466 0.359374 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.266466 0.359374
Calling line(0.0565115,0.246449, 0.266466,0.359374)
Leaving clip_line Leaving line_3(0,0,1, 1,0,1)
line_3(1,0,1, 1,1,1)
Current 4D Start of line in world coords''''' vector: 1.000000 0.000000 1.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 1.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.266466 0.359374 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.266466 0.359374
Current 4D End of clipped line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.177885 0.569428 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.177885 0.569428
Calling line(0.266466,0.359374, 0.177885,0.569428)
Leaving clip_line Leaving line_3(1,0,1, 1,1,1)
line_3(1,1,1, 0,1,1)
Current 4D Start of line in world coords''''' vector: 1.000000 1.000000 1.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 1.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.177885 0.569428 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.177885 0.569428
Current 4D End of clipped line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: -0.032070 0.456504 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.032070 0.456504
Calling line(0.177885,0.569428, -0.03207,0.456504)
Leaving clip_line Leaving line_3(1,1,1, 0,1,1)
line_3(0,1,1, 0,0,1)
Current 4D Start of line in world coords''''' vector: 0.000000 1.000000 1.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 0.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: -0.032070 0.456504 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.032070 0.456504
Current 4D End of clipped line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.056512 0.246449 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.056512 0.246449
Calling line(-0.03207,0.456504, 0.0565115,0.246449)
Leaving clip_line Leaving line_3(0,1,1, 0,0,1)
line_3(0,0,0, 0,0,1)
Current 4D Start of line in world coords''''' vector: 0.000000 0.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 0.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.041095 0.160848 -0.354091 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.041095 0.160848 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.041095 0.160848
Current 4D End of clipped line in normalized projection coords''''' vector: 0.056512 0.246449 -0.159006 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.056512 0.246449 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.056512 0.246449
Calling line(0.0410951,0.160848, 0.0565115,0.246449)
Leaving clip_line Leaving line_3(0,0,0, 0,0,1)
line_3(1,0,0, 1,0,1)
Current 4D Start of line in world coords''''' vector: 1.000000 0.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 0.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.251050 0.273772 -0.312287 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.251050 0.273772 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.251050 0.273772
Current 4D End of clipped line in normalized projection coords''''' vector: 0.266466 0.359374 -0.117202 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.266466 0.359374 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.266466 0.359374
Calling line(0.25105,0.273772, 0.266466,0.359374)
Leaving clip_line Leaving line_3(1,0,0, 1,0,1)
line_3(1,1,0, 1,1,1)
Current 4D Start of line in world coords''''' vector: 1.000000 1.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Current 4D End of line in world coords''''' vector: 1.000000 1.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: 0.162468 0.483827 -0.298352 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: 0.162468 0.483827 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.162468 0.483827
Current 4D End of clipped line in normalized projection coords''''' vector: 0.177885 0.569428 -0.103267 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: 0.177885 0.569428 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: 0.177885 0.569428
Calling line(0.162468,0.483827, 0.177885,0.569428)
Leaving clip_line Leaving line_3(1,1,0, 1,1,1)
line_3(0,1,0, 0,1,1)
Current 4D Start of line in world coords''''' vector: 0.000000 1.000000 0.000000 1.000000
Current 4D Start of line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Current 4D End of line in world coords''''' vector: 0.000000 1.000000 1.000000 1.000000
Current 4D End of line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Entered clip_line 3D CLIPPING NOT IMPLEMENTED.
Projecting clipped piece of line:
Current 4D Start of clipped line in normalized projection coords''''' vector: -0.047486 0.370903 -0.340156 1.000000
Current 4D Start of clipped line projected on normalized window''''' vector: -0.047486 0.370903 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.047486 0.370903
Current 4D End of clipped line in normalized projection coords''''' vector: -0.032070 0.456504 -0.145071 1.000000
Current 4D End of clipped line projected on normalized window''''' vector: -0.032070 0.456504 0.000000 1.000000
Current 2D Same point in real 2d coordinates''''' vector: -0.032070 0.456504
Calling line(-0.0474865,0.370903, -0.03207,0.456504)
Leaving clip_line Leaving line_3(0,1,0, 0,1,1)
Entered end_frame_3 Calling end_frame Returning from end_frame_3