Introduction to 3D Rotation Matrices

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Previous: 'Moving the Perspective Divide to OpenGL'

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0:07Recap and set the stage for the day

0:07Recap and set the stage for the day

0:07Recap and set the stage for the day

1:57Run the game to demo the current state, with a few words on moving towards a more direct streaming approach

1:57Run the game to demo the current state, with a few words on moving towards a more direct streaming approach

5:18handmade_platform.h: Remove the sort data from game_render_commands

5:18handmade_platform.h: Remove the sort data from game_render_commands

5:18handmade_platform.h: Remove the sort data from game_render_commands

9:59handmade_opengl.cpp: Make OpenGLRenderCommands() correctly push textures

9:59handmade_opengl.cpp: Make OpenGLRenderCommands() correctly push textures

9:59handmade_opengl.cpp: Make OpenGLRenderCommands() correctly push textures

14:10handmade_render_group.cpp: Make PushClipRect() call PushRenderElement()

14:10handmade_render_group.cpp: Make PushClipRect() call PushRenderElement()

14:10handmade_render_group.cpp: Make PushClipRect() call PushRenderElement()

16:41handmade_opengl.cpp: Enable OpenGLRenderCommands() to handle the cliprect case, and run the game to see it working

16:41handmade_opengl.cpp: Enable OpenGLRenderCommands() to handle the cliprect case, and run the game to see it working

19:13todo.txt: Update the TODO list with a few words on making a freely rotatable camera

19:13todo.txt: Update the TODO list with a few words on making a freely rotatable camera

19:13todo.txt: Update the TODO list with a few words on making a freely rotatable camera

24:40Blackboard: Rotation Matrices

24:40Blackboard: Rotation Matrices

24:40Blackboard: Rotation Matrices

30:42Blackboard: Deriving a Rotation Matrix

30:42Blackboard: Deriving a Rotation Matrix

30:42Blackboard: Deriving a Rotation Matrix

36:25Blackboard: 3D Rotation Matrices

36:25Blackboard: 3D Rotation Matrices

36:25Blackboard: 3D Rotation Matrices

40:18Blackboard: 2D vs 3D Axes of Rotation

40:18Blackboard: 2D vs 3D Axes of Rotation

40:18Blackboard: 2D vs 3D Axes of Rotation

43:56Blackboard: Coordinate system handedness

43:56Blackboard: Coordinate system handedness

43:56Blackboard: Coordinate system handedness

50:45Blackboard: Rotating in 3D around the cardinal Z axis

50:45Blackboard: Rotating in 3D around the cardinal Z axis

50:45Blackboard: Rotating in 3D around the cardinal Z axis

58:28Blackboard: Generalising this to the other axes

58:28Blackboard: Generalising this to the other axes

58:28Blackboard: Generalising this to the other axes

1:10:43Blackboard: Solving for a freely movable camera, using matrix multiplication

1:10:43Blackboard: Solving for a freely movable camera, using matrix multiplication

1:10:43Blackboard: Solving for a freely movable camera, using matrix multiplication

1:23:20Blackboard: Matrix multiplication in summation notation

1:23:20Blackboard: Matrix multiplication in summation notation

1:23:20Blackboard: Matrix multiplication in summation notation

1:27:57handmade_math.h: Introduce operator*() that operates on a 4x4 matrix

1:27:57handmade_math.h: Introduce operator*() that operates on a 4x4 matrix

1:27:57handmade_math.h: Introduce operator*() that operates on a 4x4 matrix

1:37:07Blackboard: Determining the shape of the matrix product

1:37:07Blackboard: Determining the shape of the matrix product

1:37:07Blackboard: Determining the shape of the matrix product

1:39:23Blackboard: Transforming points

1:39:23Blackboard: Transforming points

1:39:23Blackboard: Transforming points

1:41:39handmade_math.h: Introduce Identity(), XRotation(), YRotation() and ZRotation()

1:41:39handmade_math.h: Introduce Identity(), XRotation(), YRotation() and ZRotation()

1:41:39handmade_math.h: Introduce Identity(), XRotation(), YRotation() and ZRotation()

1:48:04handmade_math.h: Introduce Transpose()

1:48:04handmade_math.h: Introduce Transpose()

1:48:04handmade_math.h: Introduce Transpose()

1:48:21Blackboard: Matrix Transpose

1:48:21Blackboard: Matrix Transpose

1:48:21Blackboard: Matrix Transpose

1:50:35handmade_math.h: Introduce Projection()

1:50:35handmade_math.h: Introduce Projection()

1:50:35handmade_math.h: Introduce Projection()

1:53:49handmade_opengl.cpp: Make OpenGLRenderCommands() project and transpose our matrix

1:53:49handmade_opengl.cpp: Make OpenGLRenderCommands() project and transpose our matrix

1:53:49handmade_opengl.cpp: Make OpenGLRenderCommands() project and transpose our matrix

1:55:32Step into OpenGLRenderCommands() and inspect the projection matrix

1:55:32Step into OpenGLRenderCommands() and inspect the projection matrix

1:55:32Step into OpenGLRenderCommands() and inspect the projection matrix

1:56:40handmade_math.h: Make our new operator*() and Transpose() loop over all the values

1:56:40handmade_math.h: Make our new operator*() and Transpose() loop over all the values

1:56:40handmade_math.h: Make our new operator*() and Transpose() loop over all the values

1:57:14Step into OpenGLRenderCommands() again to see the transpose working correctly

1:57:14Step into OpenGLRenderCommands() again to see the transpose working correctly

1:57:14Step into OpenGLRenderCommands() again to see the transpose working correctly

1:58:28Q&A

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1:58:28Q&A

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1:58:28Q&A

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2:22:58Get going with a glimpse into the future

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2:22:58Get going with a glimpse into the future

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2:22:58Get going with a glimpse into the future

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Next: 'Matrix Multiplication and Transform Order'

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