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Help calculate this easyer, or more efficient way

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Hello.

Reason:

Currently i am balancing the game i am working on.

What i want to achieve:

i am trying to find a formula that will be more efficient then this peace of code

/* Example values
int calcRT = 0;
int statRT = 9;
*/
int tax = 0;
for(unsigned int n = 0; n < unit.statRT; n++)

{

unit.calcRT -= 100 - tax;

tax += 5;

}


What i want is for each statRT to reduce calcRT by 100, but each one after that to give by 5 less so.

If statRT = 1, calcRT = -100;(100)

if statRT = 2, calcRT = -195;(100 + 95)

If statRT = 3, calcRT = -285;(100 + 95 + 90)

if statRT = 10, calcRT = - ;(100 + 95 + 90... + 65 + 60 + 55)

What syntax i am looking for

/* Example values
int calcRT = 0;
int statRT = 9;
*/
calcRT = statRT * (100 - (5 * statRT));


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calcRT = max(statRT - 1, 0)*5-statRT*100

perhaps

EDIT:

You might want to set an upper bound for statRT inside the max, because else it would go like ...+ 65 + 60 + 55... + 5 + 0 -5 which you probably dont want to happen.

EDIT2:

Oh wait that doesnt seem to work... :c

Edited by Waterlimon

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Are you looking for a formula that gives the same results?
calcRT = -100 * statRT + 5 * statRT * (statRT - 1) / 2;
Edited by Álvaro

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Are you looking for a formula that gives the same results?

calcRT = -100 * statRT + 5 * statRT * (statRT - 1) / 2;

Well that reproduces the values / value i am looking for.

Much respect, thank you for this.

calcRT = max(statRT - 1, 0)*5-statRT*100

perhaps

EDIT:

You might want to set an upper bound for statRT inside the max, because else it would go like ...+ 65 + 60 + 55... + 5 + 0 -5 which you probably dont want to happen.

EDIT2:

Oh wait that doesnt seem to work...

Its ... not ... correct

Edited by BaneTrapper

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Use Alvaro's formula (although watch out for the behaviour when statRT is bigger than 20, may want to cap it instead of going negative).

The pattern is -100, -200 + 5, -300 + (5 + 10), -400 + (5 + 10 + 15), ...

which is -100 * statRT + 5 * (Sum (0 to (statRT-1)))

And since Sum(0 to X) is 0.5 * X * (X+1), Sum(0 to (startRT-1)) = 0.5 * statRT * (statRT - 1)

which gives Alvaro's formula

EDIT: You probably don't want to cap anything when statRT is > 20, since the formula gives a nice (parabolic) curve.

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And here's something about how the maths for the sum works...

What is the area of an N * (N+1) rectangle?

XXXXXXX

XXXXXXX

XXXXXXX

XXXXXXX

XXXXXXX

XXXXXXX

if N = 6, area is 6 * 7 = 42.

What use is that?

What is the area of this shape?

X

XX

XXX

XXXX

XXXXX

XXXXXX

Answer: if you rotate a copy of it 180 degrees and line it up it forms a 7 * 6 rectangle (using O for the copy of the shape)

XOOOOOO
XXOOOOO
XXXOOOO
XXXXOOO
XXXXXOO
XXXXXXO


Which works for any size N, so the area of the shape is 0.5 * N * (N+1)

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If your step and limits are fixed, couldn't you simply use a look-up table? Just calculate it once and you're done.

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Lookup table vs. simple formula? Simple formula for the win...

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Lookup table vs. simple formula? Simple formula for the win...

I am not sure. If you can make the table visible to a game designer, he can tweak it any way he wants.

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I suppose...

If I was living in some magical world in which designers actually tweaked values ;) (And not, hey that ends with a 7, that doesn't look neat, make it end with a zero instead, for no apparent reason).

Anyway you gave the correct answer and I explained some of the maths so we both win! Would probably help if we knew what the values were meant to represent in the game.

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