Prime Tutorial. Part 5 — HP Prime for All

Articles : Prime Tutorial. Part 5

Author: Edward Shore (original article)

Today's session is about starting other apps in a program and using colors.

Defining equations in the Program Editor and Home

The equation must be a string and be stored to the appropriate designated variable.

F# is for functions of X. (Function app).
R# is for polar functions of θ. (Polar app).
U# is for sequences of N, N-1, N-2. (Sequence app).
X# and Y# for parametric equations of T. (Parametric App)
V# for open statements and equations in the Advanced Graphing App, which The independent variables are X and Y.

where # — is a digit 0-9.

Defining equations this way leaves them uncheck. If you want them plotted or accessed in Num View, you will need to check them.

Example:
F1:="2*X^3" stores the function f(x) = 2*x^3 in Function 1.

R5:="A*SIN(θ)" stores the polar function r(θ) = A*sin(θ) in Polar Function 5, with A being what value stored in it.

STARTAPP

STARTAPP(application name in quotes);

Starts the named App. The calculator points the screen to the default view (Plot, Symb, Num).

Access: Cmds, 4. App Functions, 2. STARTAPP

CHECK and UNCHECK

Checks and unchecks specific equation or function (0-9) in the current app.
For example, if you are in the Function app, CHECK(1) activates F1.
As you should expect, UNCHECK(1) turns F1 off.

What does CHECK and UNCHECK affect?

Whether a function is plotted in Plot view.
Whether a function is analyzed in Num view.

Access for CHECK: Cmds 4(App Functions) 1(CHECK)

Access for UNCHECK: Cmds 4(App Functions) 4(UNCHECK)

STARTVIEW

STARTVIEW(ViewNumber): instructs the HP Prime to go to a certain view.
It has two arguments, the view number and a redraw number.
Common view numbers include (not all inclusive, full list available here):

-2 = Modes screen
-1 = Home
0 = Symbolic (Symb)
1 = Plot
2 = Numeric (Num)
3 = Symbolic Setup
4 = Plot Setup
5 = Numeric Setup

Etc..

The redraw number is either 0 or non-zero. 0 does not redraw the screen, anything else does.
I recommend the latter.

Access: Cmds 4(App Functions) 3(STARTVIEW)

RGB

RGB(red, green, blue, alpha): returns an integer code pertaining to a color's RGB code.
This is super useful for drawing and text writing.

Red: Intensity of Red, 0-255
Green: Intensity of Green, 0-255
Blue: Intensity of Blue, 0-255
Alpha: (optional) Opacity (up to 128).

RGB codes:

Blue: RGB(0,0,255)
Violet: RGB(143,255,0)
Dark Green: RGB(0,128,0)
Orange: RGB(255,127,0)
Yellow: RGB(0,255,255)
Red: RGB(255,0,0)
White: RGB(255,255,255)
Black: RGB(0,0,0)
Gray: RGB(129,128,128)
Brown: RGB(150,75,0)
Light Blue: RGB(173,216,330)

Tip: Change a color of a graph. Use the syntax: F#(COLOR):=RGB(red, blue, green, [alpha]);
F stands for the designated function type (F for function, R for polar, etc).
# — is the digit 0-9.
Example: F8(COLOR):=RGB(0,0,255)
makes the function F8 plot in blue.

For other colors, RGB can be found on various sites on the Internet, including Wikipedia.

Access: Cmds 2(Drawing) 5(RGB)

This is a lot, but this is doable. Let's see all these commands and tips in action and create some magic.

Conic Drawing for HP Prime

Draws the conic section for the general equation

$A x 2 + B y 2 + C x y + D x + E y + F = 0$

You can choose the color how the conic section is plotted, from red, blue, orange, and green. (Game show enthusiasts take note of the order of the colors I listed... ;) ).

EXPORT CONIC()
BEGIN LOCAL cr, cg, cb, I;
INPUT({A, B, C, D, E, F},
"Ax^2+By^2+Cxy+Dx+Ey+F", { }, { },
{0, 0, 0, 0, 0, 0});

// Colors
CHOOSE(I, "Choose a Color",
"Red", "Blue", "Orange", "Green");
cr := {255, 0, 255, 0};
cg := {0, 0, 127, 255};
cb := {0, 255, 0, 0};

STARTAPP("Advanced Graphing");
V1 := "A*X^2+B*Y^2+C*X*Y+D*X+E*Y+F = 0";
V1(COLOR) := RGB(cr(I), cg(I), cb(I));
CHECK(1);
// Plot View
STARTVIEW(1, 1);
END;

Below are some examples. Remember the form:

$A x 2 + B y 2 + C x y + D x + E y + F = 0$

Screen Left Screen Right

Projectile Motion for HP Prime

This program calculates range and height of a projectile, and plots its path.
The program sets the mode into Degrees (HAngle=1) and the calculator to the Parametric app.

Equations:
x = V * cos θ * t
y = V * sin θ * t - .5 * g * t^2

Where:

V = initial velocity
θ = initial degree of flight
g = Earth gravitation constant (9.80665 m/s^2, ≈32.17404 ft/s^2)

Air resistance is not factored, so we are dealing with ideal conditions.
How much the projectile represents reality varies, where factors include the object being projected, the temperate and pressure of the air, and the weather.

EXPORT PROJ13()
BEGIN LOCAL M, str;
// V, G, θ are global
// Degrees
HAngle := 1;

CHOOSE(M, "Units", "SI", "US");
IF M == 1 THEN str := "m";
G := 9.80665;
ELSE
str := "ft";
G := 32.17404;
END;

INPUT({V, θ}, "Data",
{"V:", "θ:"},
{"Initial Velocity in "+str+"/s",
"Initial Angle in Degrees"});

X1 := "V*COS(θ) * T";
Y1 := "V*SIN(θ) * T-.5*G*T^2";

STARTAPP("Parametric");
CHECK(1);
// Adjust Window
Xmin := 0;
// Range
Xmax := V^2/G*SIN(2*θ);
Ymin := 0;
// Height
Ymax := (V^2*SIN(θ)^2) / (2*G);
MSGBOX("Range: "+Xmax+" "+str+", "+", Height: "+Ymax+" "+str);
// Plot View
STARTVIEW(1, 1);
END;

Below are screen shots from an example with V = 35.25 m/s and θ = 48.7°.

Screen Left Screen Right

This concludes this session of the tutorials. Shortly I will have Part 6 up, which has to do routines.

I am catch-up mode, still. But then again I always feel like there is too much to do and too little time. LOL

Read Part 6 >

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