GPGPU Programming for Games and Science

List of Figures

2.1 Colliding circles . . . . . . . . . . . . . . . . . . . . . . . . . 7

2.2 Circle interpenetration due to roundoff errors . . . . . . . . 8

2.3 Circlesatlasttimeofcontact ................. 10

2.4 Convexhullupdate(intheory) ................ 11

2.5 Convexhullupdate(inpractice) ............... 12

2.6 Layoutof8-bitfloating-point ................. 33

2.7 Distribution of

binary8 numbers ................ 36

2.8 Layoutof16-bitfloating-point................. 37

2.9 Layoutof32-bitfloating-point................. 39

2.10 Layoutof64-bitfloating-point................. 41

2.11 Rounding with ties-to-even . . . . . . . . . . . . . . . . . . . 51

2.12 Rounding ...