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HP 42S/DM 42/Free42: Function Table

HP 42S/DM 42/Free42: Function Table
Introduction
The program FTAB uses the function defined in FX, with variable “X” to generate a 2 column matrix of f(X). The matrix is stored in variable MATS. The program ends with MATS in edit mode, so you see all the points generated. Use the soft key [ → ] to view the entries.
Setting up FX
To set up the function FX, the program needs to be in the following format:
00 {nnn-Byte Prgm}
01 LBL “FX”
02 MVAR “X”
03 f(X) starts here, use RCL “X” for X
nn-1 RTN
nn END
HP 42S Program FTAB
HP 42S, DM 42, Free42
00 { 99-Byte Prgm }
01▸LBL “FTAB”
02 “X Start:”
03 PROMPT
04 STO 01
05 “X Step:”
06 PROMPT
07 STO 02
08 “# Steps:”
09 PROMPT
10 STO 03
11 1
12 –
13 1ᴇ3
14 ÷
15 STO 04
16 RCL 03
17 2
18 DIM “MATF”
19 INDEX “MATF”
20▸LBL 00
21 RCL 01
22 RCL 04
23 IP
24 RCL× 02
25 +
26 STO “X”
27 STOEL
28 J+
29 XEQ “FX”
30 STOEL
31 J-
32 I+
33 ISG 04
34 GTO 00
35 EDITN “MATF”
36 .END.
Example
f(x) = x^2 * e^x
FX:
00 { 18-Byte Prgm }
01▸LBL “FX”
02 MVAR “X”
03 RCL “X”
04 ENTER
05 X↑2
06 X<>Y
07 E↑X
08 ×
09 RTN
10 .END.
Input:
X Start: 0
X Step: 0.1
# Steps: 10
Result Matrix MATS:
MATF= [ 10×2 Matrix ]
1:1= 0.0000
1:2= 0.0000
2:1= 0.1000
2:2= 0.0111
3:1= 0.2000
3:2= 0.0489
4:1= 0.3000
4:2= 0.1215
5:1= 0.4000
5:2= 0.2387
6:1= 0.5000
6:2= 0.4122
7:1= 0.6000
7:2= 0.6560
8:1= 0.7000
8:2= 0.9867
9:1= 0.8000
9:2= 1.4243
10:1= 0.9000
10:2= 1.9923
Matrix (row:column)
Eddie
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