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Mathematical Operations in SimplePlanes

Addition (+) and Subtraction (-)

Addition (+)

Addition combines two values together.

Example:
speed + 10
- This adds 10 to the speed. If the speed is 100, then it becomes 110.

Subtraction (-)

Subtraction removes one value from another.

Example:
altitude - 5
- This subtracts 5 from the altitude. If the altitude is 1000, then it becomes 995.

Where to use in SimplePlanes:
Use these operations in systems like Throttle or Altitude control, adjusting values over time.

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Unary Minus (-)

The unary minus operation simply changes the sign of a number.

Example:
-Pitch
- If Pitch = 30, then -Pitch will turn it into -30.

Where to use in SimplePlanes:
Use this to reverse the direction of movement, like flying upside down.

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Multiplication (*) and Division (/)

These operations scale values.

Multiplication (*)

Multiplication increases or scales a value.

Example:
throttle * 2
- If throttle = 50, multiplying by 2 gives 100.

Division (/)

Division reduces a value.

Example:
altitude / 2
- If altitude = 1000, dividing by 2 gives 500.

Where to use in SimplePlanes:
These can be used to adjust values like engine power or fuel consumption.

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Comparison Operators

Less Than (<) and Greater Than (>)

Less Than (<)

Checks if one value is smaller than another.

Example:
altitude < 500
- If altitude = 300, it returns true.

Greater Than (>)

Checks if one value is larger than another.

Example:
speed > 100
- If speed = 120, it returns true.

Where to use in SimplePlanes:
Use these for triggering actions like landing gear or emergency systems.

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Less Than or Equal To (<=) and Greater Than or Equal To (>=)

Less Than or Equal To (<=)

Checks if a value is smaller than or equal to another.

Example:
altitude <= 500
- If altitude = 500, it returns true.

Greater Than or Equal To (>=)

Checks if a value is greater than or equal to another.

Example:
speed >= 200
- If speed = 200, it returns true.

Where to use in SimplePlanes:
Use these comparisons to trigger systems based on thresholds like autopilot or engine modes.

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Equal To (==) and Not Equal To (!=)

Equal To (==)

Checks if two values are exactly the same.

Example:
speed == 100
- If speed = 100, it returns true.

Not Equal To (!=)

Checks if two values are different.

Example:
altitude != 500
- If altitude = 300, it returns true.

Where to use in SimplePlanes:
Use for precise conditions, like triggering an event when values are exactly equal or not equal to a set number.

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Boolean (Logical) Operators

AND (&)

The AND operator requires both conditions to be true.

Example:
(speed > 100) & (altitude > 1000)
- This returns true only if both conditions are met: speed greater than 100 and altitude greater than 1000.

Where to use in SimplePlanes:
Use to activate systems when multiple conditions are true, like turning on afterburners.

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OR (|)

The OR operator requires at least one condition to be true.

Example:
(altitude > 1000) | (speed > 200)
- This returns true if either condition is met: altitude above 1000 or speed above 200.

Where to use in SimplePlanes:
Use this for systems that activate when any one condition is true, like engaging airbrakes.

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NOT (!)

The NOT operator reverses the condition.

Example:
!(altitude > 500)
- If altitude > 500 is true, it turns into false.

Where to use in SimplePlanes:
Use this to negate conditions, like turning off systems if certain criteria are met.

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Ternary Operator

The ternary operator helps you choose between two values based on a condition.

Syntax:
condition ? value_if_true : value_if_false

Example:
(altitude > 500) ? "Above" : "Below"
- If altitude = 600, it returns "Above".
- If altitude = 400, it returns "Below".

Where to use in SimplePlanes:
Use this for quick decisions in scripts, such as changing text on the HUD based on altitude or speed.

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Useful Math Functions

abs(x) – Absolute Value

The absolute value removes the negative sign of a number.

Example:
abs(-10)
- This returns 10.

Where to use in SimplePlanes:
Use this to calculate distances or forces where direction doesn't matter.

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ceil(x) – Round Up

Rounds a number up to the nearest whole number.

Example:
ceil(3.2)
- This returns 4.

Where to use in SimplePlanes:
Useful for rounding altitude or speed values to the nearest integer.

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clamp(x, min, max) – Limit a Value

Clamps a value to stay between a minimum and maximum range.

Example:
clamp(10, 0, 5)
- This returns 5, as 10 exceeds the maximum value.

Where to use in SimplePlanes:
Prevent values like speed or altitude from exceeding specific limits.

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lerp(a, b, t) – Linear Interpolation

The lerp function smoothly interpolates between two values.

Example:
lerp(0, 100, 0.5)
- This returns 50, the midpoint between 0 and 100.

Where to use in SimplePlanes:
Great for smooth transitions in throttle or control surfaces.

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round(x) – Round to Nearest Integer

Rounds a number to the nearest integer.

Example:
round(4.7)
- This returns 5.

Where to use in SimplePlanes:
Used to round speed or altitude values to whole numbers.

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These operations and functions are the core of scripting in SimplePlanes, allowing you to create dynamic flight systems and custom behavior for your planes. Play around with these and see how they can improve your creations!