APL newbie. Using Dyalog (18.2 on Mac) to run a function I've transcribed from Decimal Computation by Schmid a 1974 book I'm reading. The function is the source of a table in the book.
The function is
∇ COSANDSIN L;I;J;X;Y;Z;OUT
OUT←0, 0, 0, X, Y, SA , PK←Z←X←J←1+I←N←SA←Y←0
LH:A←(180÷○1)ׯ3○10*-I
→(L≤SA)/NEG
Z←Z-Y×10*-I
Y←Y+X×10*-I
SA←SA+A
→KH
NEG:Z←Z+Y×10*-I
Y←Y-X×10*-I
SA←SA-A
KH:PK←PK×1÷2○¯3○10*-I
OUT←OUT,(N←N+1),I,J,(X←Z),Y,SA,PK
→(I=0)/RL
→(9≥J←J+1)/LH
J←1
RL:(5>I←I+1)/LH
' N. I. J. X. Y SUM MU PRODUCT K. '
(5 0 , 5 0 , 5 0 , 12 6 , 12 6 , 12 6 , 12 6) DFT 31 7 ⍴OUT
'COSL=X÷PK= ';X÷PK
'ERROR=COSL-X÷PK=';(X÷PK)-2○L×○1÷180
'SINL=Y÷PK. ';Y÷PK
'ERROR=SINL-Y÷PK=';(Y÷PK)-1○L×○1÷180
∇
I believe I have correctly typed the function. It is accepted by Dyalog and ∇COSANDSIN[⎕]∇ correctly repeats the definition. However, when I run it, I get an undefined function DFT.
I believe I've found the function in an image of old ACM paper https://dl.acm.org/doi/pdf/10.1145/585882.585894 and it appears to be a formatting function from an IBM APL/360 library called 1 PLOTFORMAT. However, the listing for that function uses I-beam 26 which I assume is an IBM specific function: I suspect that is equivalent to the first element of []LC -- according to this APL i-beam function
So my question is: does Dyalog have an equivalent to the DFT function?
Final format of the function using answer from @Silas and some corrections to the function
∇ COSANDSIN L;I;J;X;Y;Z;OUT
OUT←0, 0, 0, X, Y, SA , PK←Z←X←J←1+I←N←SA←Y←0
LH:A←(180÷○1)ׯ3○10*-I
→(L≤SA)/NEG
Z←Z-Y×10*-I
Y←Y+X×10*-I
SA←SA+A
→KH
NEG:Z←Z+Y×10*-I
Y←Y-X×10*-I
SA←SA-A
KH:PK←PK×1÷2○¯3○10*-I
OUT←OUT,(N←N+1),I,J,(X←Z),Y,SA,PK
→(I=0)/RL
→(9≥J←J+1)/LH
J←1
RL:→(5>I←I+1)/LH
' N. I. J. X. Y SUM MU PRODUCT K. '
5 0 5 0 5 0 12 6 12 6 12 6 12 6 ⍕ 31 7 ⍴OUT
'COSL=X÷PK= ',X÷PK
'ERROR=COSL-X÷PK=',(X÷PK)-2○L×○1÷180
'SINL=Y÷PK. ',Y÷PK
'ERROR=SINL-Y÷PK=',(Y÷PK)-1○L×○1÷180
∇
Which produces the exact same table as the original book
COSANDSIN 30
N. I. J. X. Y SUM MU PRODUCT K.
0 0 0 1.000000 0.000000 0.000000 1.000000
1 0 1 1.000000 1.000000 45.000000 1.414214
2 1 1 1.100000 0.900000 39.289407 1.421267
3 1 2 1.190000 0.790000 33.578814 1.428356
4 1 3 1.269000 0.671000 27.868221 1.435480
5 1 4 1.201900 0.797900 33.578814 1.442639
6 1 5 1.281690 0.677710 27.868221 1.449835
7 1 6 1.213919 0.805879 33.578814 1.457066
8 1 7 1.294507 0.684487 27.868221 1.464333
9 1 8 1.226058 0.813938 33.578814 1.471636
10 1 9 1.307452 0.691332 27.868221 1.478976
11 2 1 1.300539 0.704406 28.441159 1.479050
12 2 2 1.293495 0.717412 29.014098 1.479124
13 2 3 1.286320 0.730347 29.587037 1.479198
14 2 4 1.279017 0.743210 30.159975 1.479272
15 2 5 1.286449 0.730420 29.587037 1.479346
16 2 6 1.279145 0.743284 30.159975 1.479420
17 2 7 1.286578 0.730493 29.587037 1.479494
18 2 8 1.279273 0.743359 30.159975 1.479568
19 2 9 1.286706 0.730566 29.587037 1.479642
20 3 1 1.285976 0.731853 29.644332 1.479643
21 3 2 1.285244 0.733139 29.701628 1.479643
22 3 3 1.284511 0.734424 29.758924 1.479644
23 3 4 1.283776 0.735708 29.816220 1.479645
24 3 5 1.283041 0.736992 29.873515 1.479646
25 3 6 1.282304 0.738275 29.930811 1.479646
26 3 7 1.281565 0.739558 29.988107 1.479647
27 3 8 1.280826 0.740839 30.045403 1.479648
28 3 9 1.281567 0.739558 29.988107 1.479648
29 4 1 1.281493 0.739686 29.993837 1.479649
30 4 2 1.281419 0.739815 29.999566 1.479649
COSL=X÷PK= 0.8659791861
ERROR=COSL-X÷PK= ¯0.0000462177248
SINL=Y÷PK. 0.5000800429
ERROR=SINL-Y÷PK= 0.00008004290462
Reading the paper, I believe DFT is simply dyadic format or ⍕ with FMT being a variant of ⎕FMT
At least your COSANDSIN function seems to work when I replace DFT with ⍕ and ; with ,