Difference between revisions of "Mixly Block Category - Math"

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(Created page with "=Number Value= =Arithmetic Operations= =Trigonometry Function= =Number Function= *toInt *abs *sq *sqrt *log =Max= =Random Integer= =Constrain= =Map=")
 
(Number Function)
 
(18 intermediate revisions by the same user not shown)
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=Number Value=
 
=Number Value=
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Numeric value which can be assigned to a variable or used in function parameters.
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=Arithmetic Operations=
 
=Arithmetic Operations=
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Performs the arithmetic operations on the left input with the right input. Then returns that value. Variables can be used to inputs.
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* +, -, x, ÷ : add, subtract, multiply, divide. Read more here: https://www.arduino.cc/en/Reference/Arithmetic
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* % : modulo. Read more here: https://www.arduino.cc/en/Reference/modulo
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* ^ : power. i.e. 2^3 = 2 * 2 * 2 = 8
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=Trigonometry Function=
 
=Trigonometry Function=
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* sin- Takes the sin of the input and returns it. Read more here: https://www.arduino.cc/en/Reference/Sin
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* cos - Takes the cos of the input and returns it. Read more here: https://www.arduino.cc/en/Reference/Cos
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* tan - Takes the tan of the input and returns it. Read more here: https://www.arduino.cc/en/Reference/Tan
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* asin, acos, atan. Read more here: https://www.arduino.cc/en/Math/H
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=Number Function=
 
=Number Function=
*toInt
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*toInt - Converts the input into an Integer type  (https://www.arduino.cc/en/Reference/Int) and returns it. Read more here: https://www.arduino.cc/en/Reference/IntCast
*abs
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*abs - Takes the absolute value of the input and returns it. Read more here: https://www.arduino.cc/en/reference/abs
*sq
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*sq - Takes the square of the input and returns it. Read more here: https://www.arduino.cc/en/Reference/Sq
*sqrt
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*sqrt - Takes the square root of the input and returns it. Read more here: https://www.arduino.cc/en/Reference/Sqrt
*log
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*log - Takes the natural log of the input and returns it: Read more here: https://www.arduino.cc/en/Reference/MathHeader
=Max=
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=Max / Min=
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*max - Takes the max of the two inputs and returns it. Read more here: https://www.arduino.cc/en/Reference/Max
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*min - Takes the min of the two inputs and returns it. Read more here: https://www.arduino.cc/en/Reference/Min
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=Random Integer=
 
=Random Integer=
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Returns a random integer between the two input values.
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*min (left input) - lower bound of the random value, inclusive (optional)
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*max (right input) - upper bound of the random value, exclusive
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Example: random('''5''', '''77''') will return a value between '''5''' and '''76'''.
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Read more here: https://www.arduino.cc/en/Reference/Random
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=Constrain=
 
=Constrain=
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Constrains the '''Input''' to the '''Low''' and '''High''' and returns it.
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*Input - Variable or value that will be constrained.
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*Low -  Lower value that '''Input''' will be constrained to.
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*High - Upper value that '''Input''' will be constrained to.
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Example 1: Input is '''10''', Low is 5, and High is 15. Constrain returns '''10'''.
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Example 2: Input is '''100''', Low is 5, and High is 15. Constrain returns '''15'''.
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Example 3: Input is '''2''', Low is 5, and High is 15. Constrain returns '''2'''.
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Read more here: https://www.arduino.cc/en/Reference/Constrain
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=Map=
 
=Map=
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Re-maps the '''Input''' from one range ['''fromLow''' , '''fromHigh'''] to another range ['''toLow''' , '''toHigh''']. Then returns that value.
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 +
That is, a value of '''fromLow''' would get mapped to '''toLow''', a value of '''fromHigh''' to '''toHigh''', values in-between to values in-between, etc.
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*Input - Input that will be re-mapped from '''from range''' to '''to range''' .
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*From Range
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** fromLow - Low value of the '''from range'''
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** fromHigh - High value of the '''from range'''
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*To Range
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** toLow - Low value of the '''to range'''
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** toHigh - High value of the '''to range'''
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 +
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The function that is used is:
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 +
Mapped_Output = (Input - fromLow) * (toHigh - toLow) / (fromMax - fromMin) + toLow
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 +
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Read more here: https://www.arduino.cc/en/Reference/Map

Latest revision as of 00:17, 16 February 2017

Number Value

Numeric value which can be assigned to a variable or used in function parameters.

Arithmetic Operations

Performs the arithmetic operations on the left input with the right input. Then returns that value. Variables can be used to inputs.

Trigonometry Function

Number Function

Max / Min

Random Integer

Returns a random integer between the two input values.

  • min (left input) - lower bound of the random value, inclusive (optional)
  • max (right input) - upper bound of the random value, exclusive


Example: random(5, 77) will return a value between 5 and 76.


Read more here: https://www.arduino.cc/en/Reference/Random

Constrain

Constrains the Input to the Low and High and returns it.

  • Input - Variable or value that will be constrained.
  • Low - Lower value that Input will be constrained to.
  • High - Upper value that Input will be constrained to.


Example 1: Input is 10, Low is 5, and High is 15. Constrain returns 10.

Example 2: Input is 100, Low is 5, and High is 15. Constrain returns 15.

Example 3: Input is 2, Low is 5, and High is 15. Constrain returns 2.


Read more here: https://www.arduino.cc/en/Reference/Constrain

Map

Re-maps the Input from one range [fromLow , fromHigh] to another range [toLow , toHigh]. Then returns that value.

That is, a value of fromLow would get mapped to toLow, a value of fromHigh to toHigh, values in-between to values in-between, etc.

  • Input - Input that will be re-mapped from from range to to range .
  • From Range
    • fromLow - Low value of the from range
    • fromHigh - High value of the from range
  • To Range
    • toLow - Low value of the to range
    • toHigh - High value of the to range


The function that is used is:

Mapped_Output = (Input - fromLow) * (toHigh - toLow) / (fromMax - fromMin) + toLow


Read more here: https://www.arduino.cc/en/Reference/Map