2.125bm 4+0.5 - Minecraft parkour breakthrough

Hidden in the code for 12 years, was a way to be faster in minecraft. How fast? 1.0030632 times faster. How ? Well it turns out half angles get even more effective for larger yaws (if you're not familiar with half angles, read mcpk.wiki). That was discovered for optifine fast math first, but it works for vanilla as well. Here are the relevant "16383th-angles": facing 5898154.0 norm 1.0004314 facing 5898155.5 norm 1.00058 facing 5898156.5 norm 1.0007269 facing 5898158.0 norm 1.0008721 facing 5898166.5 norm 1.0016874 facing 5898167.0 norm 1.0016874 facing 5898168.0 norm 1.0018108 facing 5898169.5 norm 1.0019298 facing 5898173.5 norm 1.0022581 facing 5898174.0 norm 1.0022581 facing 5898175.0 norm 1.0023568 facing 5898176.5 norm 1.0024499 facing 5898177.5 norm 1.0025371 facing 5898187.5 norm 1.002967 facing 5898188.0 norm 1.002967 facing 5898189.0 norm 1.0030007 facing 5898193.5 norm 1.0030586 facing 5898194.5 norm 1.0030632 facing 5898195.0 norm 1.0030632 facing 5898196.0 norm 1.0030605 facing 5898197.5 norm 1.0030502 facing 5898198.5 norm 1.0030328 facing 5898203.0 norm 1.002937 facing 5898207.5 norm 1.0027776 facing 5898208.5 norm 1.0027108 facing 5898209.0 norm 1.0027108 facing 5898213.0 norm 1.0024723 facing 5898213.5 norm 1.0024723 facing 5898214.5 norm 1.0023806 facing 5898216.0 norm 1.0022832 facing 5898217.0 norm 1.0021802 facing 5898218.5 norm 1.0020721 facing 5898223.0 norm 1.0017186 facing 5898228.5 norm 1.0011907 facing 5898230.0 norm 1.0010507 facing 5898233.0 norm 1.0007634 facing 5898234.0 norm 1.0006168 facing 5898234.5 norm 1.0006168 facing 5898235.5 norm 1.0004686 facing 5898237.0 norm 1.0003194 facing 5898238.0 norm 1.0001693 facing 5898239.5 norm 1.0000188 best: facing 5898195.0 norm 1.0030632 Happy game-breaking. TAS comp 2 might actually exist now that this has been discovered.