apl>" <-APL2-------------------- sam309.txt ----------------------------> apl>" <-Inverse sine for real numbers-----------------------------------> apl>L#v#y=z#-1Ox#1Oy#O(_`Rt),0,t#.25 .5 .6 1 1.1 1.9 2 2.1 2.9 3 3.1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 apl>(D/u),(S/u#v/y) " Range of y where y=-1O1Oy -1.570796 1.570796 apl>y=((-1*|n)Xz)+On#(Xy)XD((|y)+O.5)%O1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 apl>" <-Inverse cosine for real numbers---------------------------------> apl>L#v#y=z#-2Ox#2Oy 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 apl>(D/u),(S/u#v/y) " Range of y where y=-2O2Oy 0 3.141593 apl>y=z+(_((2Xz)_pi)X2|n)+On#Dy%pi#O1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 apl>" <-Inverse tangent for real numbers--------------------------------> apl>L#v#y=z#-3Ox#3Oy#O(_`Rt),0,t#.25 .499 .6 1 1.1 1.9 2 2.1 2.9 3 3.1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 apl>(D/u),(S/u#v/y) " Range of y where y=-3O3Oy -1.567655 1.567655 apl>&/y=z+OD(y+O.5)%pi#O1 1 apl>" <-Inverse sinh for real numbers-----------------------------------> apl>Lct#1e-10 apl>y#O(_`Rt),0,t#.25 .5 .6 1 1.1 1.9 2 2.1 2.9 3 3.1 5 apl>L#v#y=z#-5Ox#5Oy 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 apl>(D/u),(S/u#v/y) " Range of y where y=-5O5Oy -15.70796 15.70796 apl>v,x,y,z,[1.5]y_z 1 -3317812.0 -15.707963 -15.707963 0 1 -8482.8 -9.738937 -9.738937 0 1 -6195.8 -9.424778 -9.424778 0 1 -4525.4 -9.110619 -9.110619 0 1 -366.6 -6.597345 -6.597345 0 1 -267.7 -6.283185 -6.283185 0 1 -195.6 -5.969026 -5.969026 0 1 -15.8 -3.455752 -3.455752 0 1 -11.5 -3.141593 -3.141593 0 1 -3.2 -1.884956 -1.884956 0 1 -2.3 -1.570796 -1.570796 0 1 -0.9 -0.785398 -0.785398 0 1 0 0 0 0 1 0.9 0.785398 0.785398 0 1 2.3 1.570796 1.570796 0 1 3.2 1.884956 1.884956 0 1 11.5 3.141593 3.141593 0 1 15.8 3.455752 3.455752 0 1 195.6 5.969026 5.969026 0 1 267.7 6.283185 6.283185 0 1 366.6 6.597345 6.597345 0 1 4525.4 9.110619 9.110619 0 1 6195.8 9.424778 9.424778 0 1 8482.8 9.738937 9.738937 0 1 3317812.0 15.707963 15.707963 0 apl>" <-Inverse cosh for real numbers---------------------------------> apl>Lct#1e-10 apl>y#O(_`Rt),0,t#.25 .5 .6 1 1.1 1.9 2 2.1 2.9 3 3.1 apl>L#v#y=z#-6Ox#6Oy 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 apl>(D/u),(S/u#v/y) " Range of y where y=-6O6Oy 0 9.73894 apl>v,x,y,z,[1.5]y_z 0 8482.7507 -9.738937 9.738937 -19.477874 0 6195.8239 -9.424778 9.424778 -18.849556 0 4525.4465 -9.110619 9.110619 -18.221237 0 366.5736 -6.597345 6.597345 -13.194689 0 267.7468 -6.283185 6.283185 -12.566371 0 195.5636 -5.969026 5.969026 -11.938052 0 15.8568 -3.455752 3.455752 -6.911504 0 11.5920 -3.141593 3.141593 -6.283185 0 3.3689 -1.884956 1.884956 -3.769911 0 2.5092 -1.570796 1.570796 -3.141593 0 1.3246 -0.785398 0.785398 -1.570796 1 1.0000 0 0 0 1 1.3246 0.785398 0.785398 0 1 2.5092 1.570796 1.570796 0 1 3.3689 1.884956 1.884956 0 1 11.5920 3.141593 3.141593 0 1 15.8568 3.455752 3.455752 0 1 195.5636 5.969026 5.969026 0 1 267.7468 6.283185 6.283185 0 1 366.5736 6.597345 6.597345 0 1 4525.4465 9.110619 9.110619 0 1 6195.8239 9.424778 9.424778 0 1 8482.7507 9.738937 9.738937 0 apl>" <-Inverse tanh for real numbers--------------------------------> apl>Lpp#7 apl>Lct#1e-10 apl>&/v#y=z#-7Ox#7Oy#(_`Rt),0,t#.5 1.5 2 3 4 10 15 0 apl>(D/u),(S/u#v/y) " Range of y where y=-7O7Oy -4 4 apl>v,x,y,z,[1.5]y_z 0 -1.000000 -15.0 -14.9999 -0.0000832 0 -1.000000 -10.0 -10.0000 0 1 -0.999329 -4.0 -4.0000 0 1 -0.995055 -3.0 -3.0000 0 1 -0.964028 -2.0 -2.0000 0 1 -0.905148 -1.5 -1.5000 0 1 -0.462117 -0.5 -0.5000 0 1 0 0 0 0 1 0.462117 0.5 0.5000 0 1 0.905148 1.5 1.5000 0 1 0.964028 2.0 2.0000 0 1 0.995055 3.0 3.0000 0 1 0.999329 4.0 4.0000 0 0 1.000000 10.0 10.0000 0 0 1.000000 15.0 14.9999 0.0000832 apl>)off