Metropoli BBS
VIEWER: sam324.txt MODE: TEXT (ASCII)
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  
-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 '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

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