Links
to previous fx-3650p programs:

5/11/2014:

Contents:

1. Circular Sectors

2. Stopping Sight Distance

3. Resistors in Parallel

4. Net Present Value

5. Rod Pendulum

6. Vectors: Dot and Cross Products

1. Circular Sectors

2. Stopping Sight Distance

3. Resistors in Parallel

4. Net Present Value

5. Rod Pendulum

6. Vectors: Dot and Cross Products

10/27/2015:

Contents for this blog:

1. Combination with Replacement

2. Great Circle (Distance in km)

3. Orbital Speed and Period

4. Eccentricity and Area of an Ellipse

5. Super Factorial

6. Escape Velocity

7. Finance: Payment of a Monthly Mortgage

8. Wind Chill Factor

9. Speed of Sound in Dry Air

-------

**Contents for this blog entry (7/2/2017)**

1. Modulus Function

2. Normal CDF

3. Sum: Σ (AX + B)^C,
from X = 0 to X = Y

4. Sun Altitude and
Azimuth Based on the Vernal Equinox

5. Trapezoid: Midsegment,
Height, and Area

6. Solar Irradiance

7. General a list of X Random
Integers from 0 to Y

**Modulus Function**

Calculates A mod B for A > 0 and B > 0. Since the fx-3650p has no integer or
fraction part functions, a loop of repeated subtractions are needed.

Program (25 steps):

?
→ A : ? → B : Lbl 1 : A – B → A : A ≥ B ⇒ Goto 1 : A

Examples:

Input: A = 77, B =
9. Result: 5

Input: A = 92.38, B =
2.38. Result: 1.94

**Normal Distribution CDF**

This calculates the area of a normal distribution curve between
points A and B, given that mean = 0 and deviation = 1. Radians mode is set. The result is stored in C.

Program (34 steps):

?
→ A : ? → B : Rad : ∫ ( e (-X² ÷ 2 ), A, B → C : C ÷ √ (2 π → C

Note e is the exponential function (e^x).

Examples:

Input: A = 0, B = 2. Result:
0.47725066

Input: A = -1, B =
1. Result: 0.682709924

**Sum: Σ (AX + B)^C, from X = 0 to X = Y**

Program (51 steps):

?
→ A : ? → B : ? → C : ? → Y : 0 → X : 0 → M : Lbl 1 : (AX + B)^C M+ : 1 + X → X
: Y ≥ X ⇒ Goto 1: M

Examples:

Input: A = 2. B = 6, C =
2, Y = 4. Result: 540

Input: A = -3, B = 1, C =
3, Y =6. Result: -9632

**Sun Altitude and Azimuth Based on the Vernal Equinox**

Input:

Y = days after the vernal
equinox, usually March 21

A = latitude on Earth (north-south, -90° to 90°)

X = the time before solar noon, local time

For example, for 10 AM (10:00), enter 2. For 3 PM (15:00), enter -3. Hence:
12 – time.

Output:

D = approximate declination of the sun (-23.45° to 23.45°)

B = sun’s altitude

C = sun’s azimuth (from ground wise north)

Program (69 steps):

?
→ Y : ? → A : ? → X : Deg : 23.45 sin(.9856Y → D ◢ sin¯¹ (cos A cos D cos
(15X) + sin A sin D → B ◢ cos¯¹ ( ( sin B sin A – sin D) ÷ (cos A cos B → C

Examples:

Input: Y = 90 days, A =
25°, X = -3 (3 PM)

Results:

D = 23.44400127° = 23°26’38.4”

B = 48.81756385° = 48°49’3.23”

C = 99.85903298° = 99°51’32.52”

Input: Y = 68 days, A =
46°, X = 4 (8 AM)

Results:

D = 21.58916369° = 21°35’20.99”

B = 35.989914° = 35°59’23.69”

C = 84.40834691° = 84°24’30.05”

Source: Sun
Altitude, Azimuth, Solar Pond Absorption, HP 67/97 Energy Conservation December
1978, Author: HP

**Trapezoid: Midsegment, Height, and Area**

Input:

A = length of top side

B = length of bottom side

C = length of left side

D = length of right side

Output:

X = Midsegment length

Y = Height

M = Area

Program (92 steps):

? → A : ? → B : ? → C : ? → D : .5(A + B → X ◢ (-A + B + C + D)(A – B + C + D)(A – B + C – D)(A – B- C- + D) →
Y : √Y ÷ ( 2 √( (B – A)² ) → Y ◢ (A
+ B)Y ÷ 2 → M

Example:

Input: A = 18, B = 16, C
= 12, D = 11

Results: X = 17, Y =
9.921567417, M = 168.6666461

Source: “Trapezoid”
Wikipedia. Edited July 7, 2014. Retrieved July 8, 2014

**Solar Irradiance**

The program calculates:

1. The solar angle of incidence given the angular
elevation and azimuth (from south going “counterclockwise”:
east-north-west) of both the sun and panel.

2. The irradiance
given by the solar panel.

Input:

X = elevation of the
sun

A = azimuth of the sun

Y = elevation of the solar panel

Z = azimuth of the solar panel

M = the sun’s power or irradiance. Often this
is treated as a constant, which is approximately 1367 W/m^2 for
extraterrestrial solar power, or approximately 1000 W/m^2 when we are dealing
with the Earth’s surface (taking scattering of light into account)

Output:

C = incidence
angle

D = solar
irradiance

Program (46
steps):

? → X : ? → A : ? → Y :
? → B : ? → M : Deg : cos¯¹ ( cos Y sin X + sin Y cos X cos (A – B → C ◢ M cos Y → D

Example:

Input:

Sun:

X = 55°24’21”

A = 175°15’44”

Panel:

Y = 40°

B = 90°

Sun’s Irradiance:

M = 1000 W/m

Results:

C = 48.6431686°

D = 766.0444431 W/m

Sources (you might have to copy and past these links)

Baldocchi, Dennis “Lecture 7, Solar
Radiation, Part 3, Earth-Sun Geometry” Biometeorogy, ESPM 129
University of California, Berkeley.

Retrieved February 17, 2015.

Mortimer, David “Lambert’s
Cosine Law” 30 January 2014. The Solar Bucket.

Retrieved March 18, 2015

University of Oregon Solar
Radiation Monitoring Laboratory “Solar Radiation Basics” University
of Oregon. http://solardat.uoregon.edu/SolarRadiationBasics.html
Retrieved February 10, 2015

**General a list of X Random Integers from 0 to Y**

This program generates a list of random integers (X) from 0 to
upper limit Y. This program uses the Fix
0 mode and makes use of the Rnd (round the number in the display) command. Note the integers as they appear. The program finishes by setting the
calculator back in Norm 1 mode.

Program (33 steps):

?
→ Y : ? → X : 1 → M : Fix 0 : Lbl 1 : Ran# Y : Rnd ◢ 1 M+ : X ≥ M ⇒ Goto 1 : Norm 1

Example:

Generate 5 random integers from 0 to 10. (Y = 10, X
= 5)

Result: 6, 7, 6, 6, 10
(your results will vary)

**Comments**

As with the other fx-3650p I and others have posted, they can
easily be adapted to the fx-50fH, fx-5800p, fx-6300g, fx-CG50, and (almost) any
other Casio programming calculator.

Recently I learned that Casio updated the fx-3650P and the fx-50F(H)
with the fx-3650P II and fx-50F(H) II respectively. The only difference I was able to spot is
that the fx-3650P II now has 390 programming steps instead of 360. http://www.casio-intl.com/asia/en/calc/school/programmable/

And yes, I still wish Casio sold these models in stores in the
United States. Currently, for us U.S.
residents, they can only be purchased online.

Now if Casio made a solar version of the fx-6300g, with more
memory.

Eddie

This blog is property of Edward Shore, 2017.

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