2.125bm 4+0.5 - Minecraft parkour breakthrough

Описание: 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.