apl>" <-APL2-------------------- sam324.txt ----------------------------> apl>Lct#1e-6 apl>Lpp#4 apl>" <-Inverse sine for complex numbers--------------------------------> apl>y#,(wX0j1)J.+w#(_`R1Uw),w#O2X(-1+Ipts+1)%pts#8 apl>&/v#y=z#-1Ox#1Oy 0 apl>(D/u),(S/u#v/9Oy) " Range of 9Oy where y=-1O1Oy -1.57 1.57 apl>(D/u),(S/u#v/11Oy) " Range of 11Oy where y=-1O1Oy -6.28 6.28 apl>z,y,[1.5]y=z 0j-6.28 -6.28j-6.28 0 0.79j-6.28 -5.50j-6.28 0 1.57j6.28 -4.71j-6.28 0 0.79j6.28 -3.93j-6.28 0 0j6.28 -3.14j-6.28 0 -0.79j6.28 -2.36j-6.28 0 -1.57j-6.28 -1.57j-6.28 1 -0.79j-6.28 -0.79j-6.28 1 0j-6.28 0j-6.28 1 0.79j-6.28 0.79j-6.28 1 1.57j-6.28 1.57j-6.28 1 0.79j6.28 2.36j-6.28 0 0j6.28 3.14j-6.28 0 -0.79j6.28 3.93j-6.28 0 -1.57j6.28 4.71j-6.28 0 -0.79j-6.28 5.50j-6.28 0 0j-6.28 6.28j-6.28 0 0j-5.50 -6.28j-5.50 0 0.79j-5.50 -5.50j-5.50 0 1.57j5.50 -4.71j-5.50 0 0.79j5.50 -3.93j-5.50 0 0j5.50 -3.14j-5.50 0 -0.79j5.50 -2.36j-5.50 0 -1.57j-5.50 -1.57j-5.50 1 -0.79j-5.50 -0.79j-5.50 1 0j-5.50 0j-5.50 1 0.79j-5.50 0.79j-5.50 1 1.57j-5.50 1.57j-5.50 1 0.79j5.50 2.36j-5.50 0 0j5.50 3.14j-5.50 0 -0.79j5.50 3.93j-5.50 0 -1.57j5.50 4.71j-5.50 0 -0.79j-5.50 5.50j-5.50 0 0j-5.50 6.28j-5.50 0 0j-4.71 -6.28j-4.71 0 0.79j-4.71 -5.50j-4.71 0 1.57j4.71 -4.71j-4.71 0 0.79j4.71 -3.93j-4.71 0 0j4.71 -3.14j-4.71 0 -0.79j4.71 -2.36j-4.71 0 -1.57j-4.71 -1.57j-4.71 1 -0.79j-4.71 -0.79j-4.71 1 0j-4.71 0j-4.71 1 0.79j-4.71 0.79j-4.71 1 1.57j-4.71 1.57j-4.71 1 0.79j4.71 2.36j-4.71 0 0j4.71 3.14j-4.71 0 -0.79j4.71 3.93j-4.71 0 -1.57j4.71 4.71j-4.71 0 -0.79j-4.71 5.50j-4.71 0 0j-4.71 6.28j-4.71 0 0j-3.93 -6.28j-3.93 0 0.79j-3.93 -5.50j-3.93 0 1.57j3.93 -4.71j-3.93 0 0.79j3.93 -3.93j-3.93 0 0j3.93 -3.14j-3.93 0 -0.79j3.93 -2.36j-3.93 0 -1.57j-3.93 -1.57j-3.93 1 -0.79j-3.93 -0.79j-3.93 1 0j-3.93 0j-3.93 1 0.79j-3.93 0.79j-3.93 1 1.57j-3.93 1.57j-3.93 1 0.79j3.93 2.36j-3.93 0 0j3.93 3.14j-3.93 0 -0.79j3.93 3.93j-3.93 0 -1.57j3.93 4.71j-3.93 0 -0.79j-3.93 5.50j-3.93 0 0j-3.93 6.28j-3.93 0 0j-3.14 -6.28j-3.14 0 0.79j-3.14 -5.50j-3.14 0 1.57j3.14 -4.71j-3.14 0 0.79j3.14 -3.93j-3.14 0 0j3.14 -3.14j-3.14 0 -0.79j3.14 -2.36j-3.14 0 -1.57j-3.14 -1.57j-3.14 1 -0.79j-3.14 -0.79j-3.14 1 0j-3.14 0j-3.14 1 0.79j-3.14 0.79j-3.14 1 1.57j-3.14 1.57j-3.14 1 0.79j3.14 2.36j-3.14 0 0j3.14 3.14j-3.14 0 -0.79j3.14 3.93j-3.14 0 -1.57j3.14 4.71j-3.14 0 -0.79j-3.14 5.50j-3.14 0 0j-3.14 6.28j-3.14 0 0j-2.36 -6.28j-2.36 0 0.79j-2.36 -5.50j-2.36 0 1.57j2.36 -4.71j-2.36 0 0.79j2.36 -3.93j-2.36 0 0j2.36 -3.14j-2.36 0 -0.79j2.36 -2.36j-2.36 0 -1.57j-2.36 -1.57j-2.36 1 -0.79j-2.36 -0.79j-2.36 1 0j-2.36 0j-2.36 1 0.79j-2.36 0.79j-2.36 1 1.57j-2.36 1.57j-2.36 1 0.79j2.36 2.36j-2.36 0 0j2.36 3.14j-2.36 0 -0.79j2.36 3.93j-2.36 0 -1.57j2.36 4.71j-2.36 0 -0.79j-2.36 5.50j-2.36 0 0j-2.36 6.28j-2.36 0 0j-1.57 -6.28j-1.57 0 0.79j-1.57 -5.50j-1.57 0 1.57j1.57 -4.71j-1.57 0 0.79j1.57 -3.93j-1.57 0 0j1.57 -3.14j-1.57 0 -0.79j1.57 -2.36j-1.57 0 -1.57j-1.57 -1.57j-1.57 1 -0.79j-1.57 -0.79j-1.57 1 0j-1.57 0j-1.57 1 0.79j-1.57 0.79j-1.57 1 1.57j-1.57 1.57j-1.57 1 0.79j1.57 2.36j-1.57 0 0j1.57 3.14j-1.57 0 -0.79j1.57 3.93j-1.57 0 -1.57j1.57 4.71j-1.57 0 -0.79j-1.57 5.50j-1.57 0 0j-1.57 6.28j-1.57 0 0j-0.79 -6.28j-0.79 0 0.79j-0.79 -5.50j-0.79 0 1.57j0.79 -4.71j-0.79 0 0.79j0.79 -3.93j-0.79 0 0j0.79 -3.14j-0.79 0 -0.79j0.79 -2.36j-0.79 0 -1.57j-0.79 -1.57j-0.79 1 -0.79j-0.79 -0.79j-0.79 1 0j-0.79 0j-0.79 1 0.79j-0.79 0.79j-0.79 1 1.57j-0.79 1.57j-0.79 1 0.79j0.79 2.36j-0.79 0 0j0.79 3.14j-0.79 0 -0.79j0.79 3.93j-0.79 0 -1.57j0.79 4.71j-0.79 0 -0.79j-0.79 5.50j-0.79 0 0j-0.79 6.28j-0.79 0 0 -6.28 0 0.79 -5.50 0 1.57 -4.71 0 0.79 -3.93 0 0 -3.14 0 -0.79 -2.36 0 -1.57 -1.57 1 -0.79 -0.79 1 0 0 1 0.79 0.79 1 1.57 1.57 1 0.79 2.36 0 0 3.14 0 -0.79 3.93 0 -1.57 4.71 0 -0.79 5.50 0 0 6.28 0 0j0.79 -6.28j0.79 0 0.79j0.79 -5.50j0.79 0 1.57j-0.79 -4.71j0.79 0 0.79j-0.79 -3.93j0.79 0 0j-0.79 -3.14j0.79 0 -0.79j-0.79 -2.36j0.79 0 -1.57j0.79 -1.57j0.79 1 -0.79j0.79 -0.79j0.79 1 0j0.79 0j0.79 1 0.79j0.79 0.79j0.79 1 1.57j0.79 1.57j0.79 1 0.79j-0.79 2.36j0.79 0 0j-0.79 3.14j0.79 0 -0.79j-0.79 3.93j0.79 0 -1.57j-0.79 4.71j0.79 0 -0.79j0.79 5.50j0.79 0 0j0.79 6.28j0.79 0 0j1.57 -6.28j1.57 0 0.79j1.57 -5.50j1.57 0 1.57j-1.57 -4.71j1.57 0 0.79j-1.57 -3.93j1.57 0 0j-1.57 -3.14j1.57 0 -0.79j-1.57 -2.36j1.57 0 -1.57j1.57 -1.57j1.57 1 -0.79j1.57 -0.79j1.57 1 0j1.57 0j1.57 1 0.79j1.57 0.79j1.57 1 1.57j1.57 1.57j1.57 1 0.79j-1.57 2.36j1.57 0 0j-1.57 3.14j1.57 0 -0.79j-1.57 3.93j1.57 0 -1.57j-1.57 4.71j1.57 0 -0.79j1.57 5.50j1.57 0 0j1.57 6.28j1.57 0 0j2.36 -6.28j2.36 0 0.79j2.36 -5.50j2.36 0 1.57j-2.36 -4.71j2.36 0 0.79j-2.36 -3.93j2.36 0 0j-2.36 -3.14j2.36 0 -0.79j-2.36 -2.36j2.36 0 -1.57j2.36 -1.57j2.36 1 -0.79j2.36 -0.79j2.36 1 0j2.36 0j2.36 1 0.79j2.36 0.79j2.36 1 1.57j2.36 1.57j2.36 1 0.79j-2.36 2.36j2.36 0 0j-2.36 3.14j2.36 0 -0.79j-2.36 3.93j2.36 0 -1.57j-2.36 4.71j2.36 0 -0.79j2.36 5.50j2.36 0 0j2.36 6.28j2.36 0 0j3.14 -6.28j3.14 0 0.79j3.14 -5.50j3.14 0 1.57j-3.14 -4.71j3.14 0 0.79j-3.14 -3.93j3.14 0 0j-3.14 -3.14j3.14 0 -0.79j-3.14 -2.36j3.14 0 -1.57j3.14 -1.57j3.14 1 -0.79j3.14 -0.79j3.14 1 0j3.14 0j3.14 1 0.79j3.14 0.79j3.14 1 1.57j3.14 1.57j3.14 1 0.79j-3.14 2.36j3.14 0 0j-3.14 3.14j3.14 0 -0.79j-3.14 3.93j3.14 0 -1.57j-3.14 4.71j3.14 0 -0.79j3.14 5.50j3.14 0 0j3.14 6.28j3.14 0 0j3.93 -6.28j3.93 0 0.79j3.93 -5.50j3.93 0 1.57j-3.93 -4.71j3.93 0 0.79j-3.93 -3.93j3.93 0 0j-3.93 -3.14j3.93 0 -0.79j-3.93 -2.36j3.93 0 -1.57j3.93 -1.57j3.93 1 -0.79j3.93 -0.79j3.93 1 0j3.93 0j3.93 1 0.79j3.93 0.79j3.93 1 1.57j3.93 1.57j3.93 1 0.79j-3.93 2.36j3.93 0 0j-3.93 3.14j3.93 0 -0.79j-3.93 3.93j3.93 0 -1.57j-3.93 4.71j3.93 0 -0.79j3.93 5.50j3.93 0 0j3.93 6.28j3.93 0 0j4.71 -6.28j4.71 0 0.79j4.71 -5.50j4.71 0 1.57j-4.71 -4.71j4.71 0 0.79j-4.71 -3.93j4.71 0 0j-4.71 -3.14j4.71 0 -0.79j-4.71 -2.36j4.71 0 -1.57j4.71 -1.57j4.71 1 -0.79j4.71 -0.79j4.71 1 0j4.71 0j4.71 1 0.79j4.71 0.79j4.71 1 1.57j4.71 1.57j4.71 1 0.79j-4.71 2.36j4.71 0 0j-4.71 3.14j4.71 0 -0.79j-4.71 3.93j4.71 0 -1.57j-4.71 4.71j4.71 0 -0.79j4.71 5.50j4.71 0 0j4.71 6.28j4.71 0 0j5.50 -6.28j5.50 0 0.79j5.50 -5.50j5.50 0 1.57j-5.50 -4.71j5.50 0 0.79j-5.50 -3.93j5.50 0 0j-5.50 -3.14j5.50 0 -0.79j-5.50 -2.36j5.50 0 -1.57j5.50 -1.57j5.50 1 -0.79j5.50 -0.79j5.50 1 0j5.50 0j5.50 1 0.79j5.50 0.79j5.50 1 1.57j5.50 1.57j5.50 1 0.79j-5.50 2.36j5.50 0 0j-5.50 3.14j5.50 0 -0.79j-5.50 3.93j5.50 0 -1.57j-5.50 4.71j5.50 0 -0.79j5.50 5.50j5.50 0 0j5.50 6.28j5.50 0 0j6.28 -6.28j6.28 0 0.79j6.28 -5.50j6.28 0 1.57j-6.28 -4.71j6.28 0 0.79j-6.28 -3.93j6.28 0 0j-6.28 -3.14j6.28 0 -0.79j-6.28 -2.36j6.28 0 -1.57j6.28 -1.57j6.28 1 -0.79j6.28 -0.79j6.28 1 0j6.28 0j6.28 1 0.79j6.28 0.79j6.28 1 1.57j6.28 1.57j6.28 1 0.79j-6.28 2.36j6.28 0 0j-6.28 3.14j6.28 0 -0.79j-6.28 3.93j6.28 0 -1.57j-6.28 4.71j6.28 0 -0.79j6.28 5.50j6.28 0 0j6.28 6.28j6.28 0 apl>Lex 'asin' 1 apl>Lfx 'z#asin x' 'z#_0j1X-5O0j1Xx' asin apl>&/(-1Ox) = asin x#1Oy 1 apl>" <-Inverse cosine for complex numbers------------------------------> apl>y#,(wX0j1)J.+w#(_`R1Uw),w#O2X(-1+Ipts+1)%pts#8 apl>&/v#y=z#-2Ox#2Oy &/v#y=z#-2Ox#2Oy ^ 20 - an arithmetic (+-/) or math (sin, cos) function failed. apl>(D/u),(S/u#v/9Oy) " Range of 9Oy where y=-2O2Oy -1.57 1.57 apl>(D/u),(S/u#v/11Oy) " Range of 11Oy where y=-2O2Oy -6.28 6.28 apl>z,y,[1.5]y=z 0j-6.28 -6.28j-6.28 0 0.79j-6.28 -5.50j-6.28 0 1.57j6.28 -4.71j-6.28 0 0.79j6.28 -3.93j-6.28 0 0j6.28 -3.14j-6.28 0 -0.79j6.28 -2.36j-6.28 0 -1.57j-6.28 -1.57j-6.28 1 -0.79j-6.28 -0.79j-6.28 1 0j-6.28 0j-6.28 1 0.79j-6.28 0.79j-6.28 1 1.57j-6.28 1.57j-6.28 1 0.79j6.28 2.36j-6.28 0 0j6.28 3.14j-6.28 0 -0.79j6.28 3.93j-6.28 0 -1.57j6.28 4.71j-6.28 0 -0.79j-6.28 5.50j-6.28 0 0j-6.28 6.28j-6.28 0 0j-5.50 -6.28j-5.50 0 0.79j-5.50 -5.50j-5.50 0 1.57j5.50 -4.71j-5.50 0 0.79j5.50 -3.93j-5.50 0 0j5.50 -3.14j-5.50 0 -0.79j5.50 -2.36j-5.50 0 -1.57j-5.50 -1.57j-5.50 1 -0.79j-5.50 -0.79j-5.50 1 0j-5.50 0j-5.50 1 0.79j-5.50 0.79j-5.50 1 1.57j-5.50 1.57j-5.50 1 0.79j5.50 2.36j-5.50 0 0j5.50 3.14j-5.50 0 -0.79j5.50 3.93j-5.50 0 -1.57j5.50 4.71j-5.50 0 -0.79j-5.50 5.50j-5.50 0 0j-5.50 6.28j-5.50 0 0j-4.71 -6.28j-4.71 0 0.79j-4.71 -5.50j-4.71 0 1.57j4.71 -4.71j-4.71 0 0.79j4.71 -3.93j-4.71 0 0j4.71 -3.14j-4.71 0 -0.79j4.71 -2.36j-4.71 0 -1.57j-4.71 -1.57j-4.71 1 -0.79j-4.71 -0.79j-4.71 1 0j-4.71 0j-4.71 1 0.79j-4.71 0.79j-4.71 1 1.57j-4.71 1.57j-4.71 1 0.79j4.71 2.36j-4.71 0 0j4.71 3.14j-4.71 0 -0.79j4.71 3.93j-4.71 0 -1.57j4.71 4.71j-4.71 0 -0.79j-4.71 5.50j-4.71 0 0j-4.71 6.28j-4.71 0 0j-3.93 -6.28j-3.93 0 0.79j-3.93 -5.50j-3.93 0 1.57j3.93 -4.71j-3.93 0 0.79j3.93 -3.93j-3.93 0 0j3.93 -3.14j-3.93 0 -0.79j3.93 -2.36j-3.93 0 -1.57j-3.93 -1.57j-3.93 1 -0.79j-3.93 -0.79j-3.93 1 0j-3.93 0j-3.93 1 0.79j-3.93 0.79j-3.93 1 1.57j-3.93 1.57j-3.93 1 0.79j3.93 2.36j-3.93 0 0j3.93 3.14j-3.93 0 -0.79j3.93 3.93j-3.93 0 -1.57j3.93 4.71j-3.93 0 -0.79j-3.93 5.50j-3.93 0 0j-3.93 6.28j-3.93 0 0j-3.14 -6.28j-3.14 0 0.79j-3.14 -5.50j-3.14 0 1.57j3.14 -4.71j-3.14 0 0.79j3.14 -3.93j-3.14 0 0j3.14 -3.14j-3.14 0 -0.79j3.14 -2.36j-3.14 0 -1.57j-3.14 -1.57j-3.14 1 -0.79j-3.14 -0.79j-3.14 1 0j-3.14 0j-3.14 1 0.79j-3.14 0.79j-3.14 1 1.57j-3.14 1.57j-3.14 1 0.79j3.14 2.36j-3.14 0 0j3.14 3.14j-3.14 0 -0.79j3.14 3.93j-3.14 0 -1.57j3.14 4.71j-3.14 0 -0.79j-3.14 5.50j-3.14 0 0j-3.14 6.28j-3.14 0 0j-2.36 -6.28j-2.36 0 0.79j-2.36 -5.50j-2.36 0 1.57j2.36 -4.71j-2.36 0 0.79j2.36 -3.93j-2.36 0 0j2.36 -3.14j-2.36 0 -0.79j2.36 -2.36j-2.36 0 -1.57j-2.36 -1.57j-2.36 1 -0.79j-2.36 -0.79j-2.36 1 0j-2.36 0j-2.36 1 0.79j-2.36 0.79j-2.36 1 1.57j-2.36 1.57j-2.36 1 0.79j2.36 2.36j-2.36 0 0j2.36 3.14j-2.36 0 -0.79j2.36 3.93j-2.36 0 -1.57j2.36 4.71j-2.36 0 -0.79j-2.36 5.50j-2.36 0 0j-2.36 6.28j-2.36 0 0j-1.57 -6.28j-1.57 0 0.79j-1.57 -5.50j-1.57 0 1.57j1.57 -4.71j-1.57 0 0.79j1.57 -3.93j-1.57 0 0j1.57 -3.14j-1.57 0 -0.79j1.57 -2.36j-1.57 0 -1.57j-1.57 -1.57j-1.57 1 -0.79j-1.57 -0.79j-1.57 1 0j-1.57 0j-1.57 1 0.79j-1.57 0.79j-1.57 1 1.57j-1.57 1.57j-1.57 1 0.79j1.57 2.36j-1.57 0 0j1.57 3.14j-1.57 0 -0.79j1.57 3.93j-1.57 0 -1.57j1.57 4.71j-1.57 0 -0.79j-1.57 5.50j-1.57 0 0j-1.57 6.28j-1.57 0 0j-0.79 -6.28j-0.79 0 0.79j-0.79 -5.50j-0.79 0 1.57j0.79 -4.71j-0.79 0 0.79j0.79 -3.93j-0.79 0 0j0.79 -3.14j-0.79 0 -0.79j0.79 -2.36j-0.79 0 -1.57j-0.79 -1.57j-0.79 1 -0.79j-0.79 -0.79j-0.79 1 0j-0.79 0j-0.79 1 0.79j-0.79 0.79j-0.79 1 1.57j-0.79 1.57j-0.79 1 0.79j0.79 2.36j-0.79 0 0j0.79 3.14j-0.79 0 -0.79j0.79 3.93j-0.79 0 -1.57j0.79 4.71j-0.79 0 -0.79j-0.79 5.50j-0.79 0 0j-0.79 6.28j-0.79 0 0 -6.28 0 0.79 -5.50 0 1.57 -4.71 0 0.79 -3.93 0 0 -3.14 0 -0.79 -2.36 0 -1.57 -1.57 1 -0.79 -0.79 1 0 0 1 0.79 0.79 1 1.57 1.57 1 0.79 2.36 0 0 3.14 0 -0.79 3.93 0 -1.57 4.71 0 -0.79 5.50 0 0 6.28 0 0j0.79 -6.28j0.79 0 0.79j0.79 -5.50j0.79 0 1.57j-0.79 -4.71j0.79 0 0.79j-0.79 -3.93j0.79 0 0j-0.79 -3.14j0.79 0 -0.79j-0.79 -2.36j0.79 0 -1.57j0.79 -1.57j0.79 1 -0.79j0.79 -0.79j0.79 1 0j0.79 0j0.79 1 0.79j0.79 0.79j0.79 1 1.57j0.79 1.57j0.79 1 0.79j-0.79 2.36j0.79 0 0j-0.79 3.14j0.79 0 -0.79j-0.79 3.93j0.79 0 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-5.50j5.50 0 1.57j-5.50 -4.71j5.50 0 0.79j-5.50 -3.93j5.50 0 0j-5.50 -3.14j5.50 0 -0.79j-5.50 -2.36j5.50 0 -1.57j5.50 -1.57j5.50 1 -0.79j5.50 -0.79j5.50 1 0j5.50 0j5.50 1 0.79j5.50 0.79j5.50 1 1.57j5.50 1.57j5.50 1 0.79j-5.50 2.36j5.50 0 0j-5.50 3.14j5.50 0 -0.79j-5.50 3.93j5.50 0 -1.57j-5.50 4.71j5.50 0 -0.79j5.50 5.50j5.50 0 0j5.50 6.28j5.50 0 0j6.28 -6.28j6.28 0 0.79j6.28 -5.50j6.28 0 1.57j-6.28 -4.71j6.28 0 0.79j-6.28 -3.93j6.28 0 0j-6.28 -3.14j6.28 0 -0.79j-6.28 -2.36j6.28 0 -1.57j6.28 -1.57j6.28 1 -0.79j6.28 -0.79j6.28 1 0j6.28 0j6.28 1 0.79j6.28 0.79j6.28 1 1.57j6.28 1.57j6.28 1 0.79j-6.28 2.36j6.28 0 0j-6.28 3.14j6.28 0 -0.79j-6.28 3.93j6.28 0 -1.57j-6.28 4.71j6.28 0 -0.79j6.28 5.50j6.28 0 0j6.28 6.28j6.28 0 apl>Lex 'acos' 1 apl>Lfx 'z#acos x' 'z#_0j1X@x_0j1X(1_x*2)*.5' acos apl>&/(-2Ox) = acos x#2Oy &/(-2Ox) = acos x#2Oy ^ 20 - an arithmetic (+-/) or math (sin, cos) function failed. apl>" <-Inverse tangent for complex numbers-----------------------------> apl>y#,(wX0j1)J.+w#(_`R1Uw),w#O2X(-1+Ipts+1)%pts#8 apl>&/v#y=z#-3Ox#3Oy 0 apl>(D/u),(S/u#v/9Oy) " Range of 9Oy where y=-3O3Oy -1.57 1.57 apl>(D/u),(S/u#v/11Oy) " Range of 11Oy where y=-3O3Oy -6.28 6.28 apl>&/y=w_O~y=w#z+OD(9Oy+O.5)%pi#O1 1 apl>Lex 'atan' 1 apl>Lfx 'z#atan x' 'z#(0j1X@(1_0j1Xx)%1+0j1Xx)%2' atan apl>&/(-3Ox) = atan x#3Oy 1 apl>)off