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(15C) Sums of five lists - Dave Britten - 05-28-2020 10:57 PM
This program lets you quickly accumulate and sum five separate lists/columns of numbers by using the five matrices. In addition to the matrices, the program occupies 11 registers and only uses storage registers 0, 1, and I, so it can be run with DIM (i)=0 to store up to 54 list items across the five lists.
Usage
Press f MATRIX 0 to clear all data.
To append an item to list A, B, C, D, or E, enter the number into x and press f A, f B, f C, f D, or f E respectively. (Alternatively, enable USER mode with f USER, and press A, B, C, D, or E directly.)
If flag 1 is clear (f CF 1), the matrix descriptor for the list that the number was appended to will be left in x, showing the name of the matrix and the new count of items.
If flag 1 is set (f SF 1), the list's matrix descriptor will be displayed briefly, and then the new total returned in x. (This option increases the processing time for adding an item to the list, as the sum has to be recalculated on each new entry.)
To calculate the sum of the list whose matrix descriptor is in x, press GSB 9.
To calculate the sums of all lists in sequence, press GSB 1. The program will briefly display the first list's matrix descriptor, followed by the sum of that list. Press R/S to show the next list. Empty lists, or lists with a sum of 0 will be skipped.
Example
Calculate the sums of two lists:
List 1: 250, 150, 525, 275, 300
List 2: 10, 10, 2, 100, 10
(User input shown in bold, displayed results in normal font.)
f MATRIX 0
g CF 1
f USER (if USER mode is not already enabled)
250 A
A 1 1
150 A
A 2 1
525 A
A 3 1
275 A
A 4 1
300 A
A 5 1
10 B
b 1 1
10 B
b 2 1
2 B
b 3 1
100 B
b 4 1
10 B
b 5 1
GSB 1
A 5 1 (briefly)
1,500.0000
R/S
b 5 1 (briefly)
132.0000
R/S
0.0000 (listing is finished)
Note that items may be added to the lists in any order, i.e. you aren't required to first fill list A, then B, etc. as is done in the example.
Code:
001 42,21,11 LBL A
002 45,16,11 RCL MATRIX A
003 22 0 GTO 0
004 42,21,12 LBL B
005 45,16,12 RCL MATRIX B
006 22 0 GTO 0
007 42,21,13 LBL C
008 45,16,13 RCL MATRIX C
009 22 0 GTO 0
010 42,21,14 LBL D
011 45,16,14 RCL MATRIX D
012 22 0 GTO 0
013 42,21,15 LBL E
014 45,16,15 RCL MATRIX E
015 42,21,0 LBL 0
016 44 25 STO I
017 33 RDown
018 45,23,25 RCL DIM I
019 43 20 x=0
020 13 10^x
021 34 x><y
022 1 1
023 40 +
024 34 x><y
025 42,23,25 DIM I
026 44,43,24 STO g (i)
027 33 RDown
028 33 RDown
029 45 25 RCL I
030 43,6,1 F? 1
031 22 2 GTO 2
032 43 32 RTN
033 42,21,9 LBL 9
034 44 25 STO I
035 45,23,25 RCL DIM I
036 33 RDown
037 43 20 x=0
038 43 32 RTN
039 33 RDown
040 42,16,1 MATRIX 1
041 0 0
042 36 ENTER
043 42,21,8 LBL 8
044 40 +
045 u 45 24 USER RCL (i)
046 22 8 GTO 8
047 40 +
048 43 32 RTN
049 42,21,1 LBL 1
050 45,16,11 RCL MATRIX A
051 32 2 GSB 2
052 45,16,12 RCL MATRIX B
053 32 2 GSB 2
054 45,16,13 RCL MATRIX C
055 32 2 GSB 2
056 45,16,14 RCL MATRIX D
057 32 2 GSB 2
058 45,16,15 RCL MATRIX E
059 32 2 GSB 2
060 43 35 CLx
061 43 32 RTN
062 42,21,2 LBL 2
063 32 9 GSB 9
064 43 20 x=0
065 43 32 RTN
066 34 x><y
067 42 31 PSE
068 34 x><y
069 31 R/S
070 43 32 RTN