HP Prime, HP 41C,
TI-58C: Round to the Nearest 1/n
Introduction
The program RNEAR rounds a number x to the nearest 1/n. For example, to round x to the nearest 10th,
n = 10. To round to the nearest 16th, n
= 16.
HP Prime Program RNEAR
EXPORT
RNEAR(x,n)
BEGIN
// round x to the nearest nth
// 2018-04-07 EWS
RETURN ROUND(FP(x)*n,0)/n+IP(x);
END;
HP 41C and Swiss Micros SM41 Program RNEAR
Keystrokes: x [ENTER]
y [XEQ] [ALPHA] RNEAR [ALPHA]
01 LBL^T REAR
02 FIX 0
03 STO 01
04 X<>Y
05 STO 02
06 RFC
07 *
08 RND
09 RCL 01
10 /
11 RCL 02
12 INT
13 +
14 FIX 4
15 RTN
TI-58C/TI-59 Program RNEAR
Store x into register 01
Store n into register 02
The result is stored in register 03
Minimum Registers Needed: 4 (I always leave register 00 for
general use)
There is no rounding function on the TI-58C and TI-59, hence
the rounding routine needs to be manually entered.
|
Step
|
Key Code
|
Key
|
Notes
|
|
000
|
43
|
RCL
|
|
|
001
|
01
|
01
|
|
|
002
|
22
|
INV
|
|
|
003
|
59
|
Int
|
INV Int: Frac
|
|
004
|
65
|
*
|
|
|
005
|
43
|
RCL
|
|
|
006
|
02
|
02
|
|
|
007
|
95
|
=
|
|
|
008
|
42
|
STO
|
|
|
009
|
03
|
03
|
|
|
010
|
00
|
0
|
|
|
011
|
93
|
.
|
|
|
012
|
05
|
5
|
|
|
013
|
32
|
x<>t
|
Store 0.5 to t
|
|
014
|
43
|
RCL
|
|
|
015
|
03
|
03
|
|
|
016
|
22
|
INV
|
|
|
017
|
59
|
Int
|
|
|
018
|
77
|
x≥t
|
|
|
019
|
55
|
[÷]
|
If frac(R03)≥0.5, go to label “÷”
|
|
020
|
76
|
Lbl
|
|
|
021
|
65
|
[*]
|
Label “×”
|
|
022
|
43
|
RCL
|
|
|
023
|
03
|
03
|
|
|
024
|
59
|
Int
|
|
|
025
|
55
|
÷
|
|
|
026
|
43
|
RCL
|
|
|
027
|
02
|
02
|
|
|
028
|
85
|
+
|
|
|
029
|
43
|
RCL
|
|
|
030
|
01
|
01
|
|
|
031
|
59
|
Int
|
|
|
032
|
95
|
=
|
|
|
033
|
42
|
STO
|
|
|
034
|
03
|
03
|
|
|
035
|
91
|
R/S
|
Display result
|
|
036
|
81
|
RST
|
End program
|
|
037
|
76
|
Lbl
|
|
|
038
|
55
|
[÷]
|
Label “÷”
|
|
039
|
01
|
1
|
|
|
040
|
44
|
SUM
|
|
|
041
|
03
|
03
|
|
|
042
|
61
|
GTO
|
|
|
043
|
65
|
[*]
|
|
Examples:
x = π
n = 10, result: 3.10 (nearest
10th)
n = 1000, result: 3.142 (nearest 1000th)
n = 16, result: 3.125
(nearest 16th)
Eddie
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