Special functions for any argument x
Description
The program calculates the values of four special functions for any argument x:
- P(x): Normal distribution function
- Q(x): Complementary normal distribution function
- erf(x): Error function
- erfc(x): Complementary error function
The program calculates these functions using the transformation u = e-t² whenever |x| > 1.6
.
Program Resources
Labels
Name |
Description |
|
Name |
Description |
|
A |
Evaluate P(x) |
|
2 |
|
|
B |
Evaluate Q(x) |
|
3 |
|
|
C |
Evaluate erf(x) |
|
4 |
|
|
E |
Evaluate erfc(x) |
|
5 |
|
|
0 |
|
|
6 |
|
|
1 |
|
|
|
|
|
Storage Registers
Flags
Program
Line |
Display |
Key Sequence |
|
Line |
Display |
Key Sequence |
|
Line |
Display |
Key Sequence |
|
000 |
|
|
|
028 |
42.21.15 |
f LBL E |
|
056 |
16 |
CHS |
|
001 |
42.21.11 |
f LBL A |
|
029 |
0 |
0 |
|
057 |
12 |
eˣ |
|
002 |
44 2 |
STO 2 |
|
030 |
42.21. 4 |
f LBL 4 |
|
058 |
42.20. 1 |
f ∫xy 1 |
|
003 |
16 |
CHS |
|
031 |
43. 5. 1 |
g CF 1 |
|
059 |
32 3 |
GSB 3 |
|
004 |
22 2 |
GTO 2 |
|
032 |
44 1 |
STO 1 |
|
060 |
45 0 |
RCL 0 |
|
005 |
42.21.12 |
f LBL B |
|
033 |
34 |
x↔y |
|
061 |
36 |
ENTER |
|
006 |
44 2 |
STO 2 |
|
034 |
44 0 |
STO 0 |
|
062 |
43 16 |
g ABS |
|
007 |
42.21. 2 |
f LBL 2 |
|
035 |
43 16 |
g ABS |
|
063 |
10 |
÷ |
|
008 |
2 |
2 |
|
036 |
1 |
1 |
|
064 |
20 |
× |
|
009 |
11 |
√x̅ |
|
037 |
48 |
. |
|
065 |
45 1 |
RCL 1 |
|
010 |
10 |
÷ |
|
038 |
6 |
6 |
|
066 |
43 36 |
g LSTx |
|
011 |
32 13 |
GSB C |
|
039 |
43.30. 8 |
g TEST x<y |
|
067 |
30 |
− |
|
012 |
2 |
2 |
|
040 |
22 6 |
GTO 6 |
|
068 |
40 |
+ |
|
013 |
10 |
÷ |
|
041 |
0 |
0 |
|
069 |
16 |
CHS |
|
014 |
45 2 |
RCL 2 |
|
042 |
45 0 |
RCL 0 |
|
070 |
43 32 |
g RTN |
|
015 |
44 0 |
STO 0 |
|
043 |
42.20. 0 |
f ∫xy 0 |
|
071 |
42.21. 0 |
f LBL 0 |
|
016 |
33 |
R⬇ |
|
044 |
2 |
2 |
|
072 |
43 11 |
g x² |
|
017 |
43 32 |
g RTN |
|
045 |
20 |
× |
|
073 |
16 |
CHS |
|
018 |
42.21.13 |
f LBL C |
|
046 |
42.21. 3 |
f LBL 3 |
|
074 |
12 |
eˣ |
|
019 |
1 |
1 |
|
047 |
43 26 |
g π |
|
075 |
43 32 |
g RTN |
|
020 |
32 4 |
GSB 4 |
|
048 |
11 |
√x̅ |
|
076 |
42.21. 1 |
f LBL 1 |
|
021 |
43. 6. 1 |
g F? 1 |
|
049 |
10 |
÷ |
|
077 |
43 20 |
g x=0 |
|
022 |
22 5 |
GTO 5 |
|
050 |
43 32 |
g RTN |
|
078 |
43 32 |
g RTN |
|
023 |
1 |
1 |
|
051 |
42.21. 6 |
f LBL 6 |
|
079 |
43 12 |
g LN |
|
024 |
30 |
− |
|
052 |
43. 4. 1 |
g SF 1 |
|
080 |
16 |
CHS |
|
025 |
42.21. 5 |
f LBL 5 |
|
053 |
0 |
0 |
|
081 |
11 |
√x̅ |
|
026 |
16 |
CHS |
|
054 |
45 0 |
RCL 0 |
|
082 |
15 |
1/x |
|
027 |
43 32 |
g RTN |
|
055 |
43 11 |
g x² |
|
083 |
43 32 |
g RTN |
|