2022-10-21 06:17:48 -04:00
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[](https://github.com/marketplace/actions/arduino_ci)
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[](https://github.com/RobTillaart/moduloMap/actions/workflows/arduino-lint.yml)
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[](https://github.com/RobTillaart/moduloMap/actions/workflows/jsoncheck.yml)
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[](https://github.com/RobTillaart/moduloMap/blob/master/LICENSE)
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[](https://github.com/RobTillaart/moduloMap/releases)
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# moduloMap
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Arduino library for the moduloMap class.
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## Description
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The moduloMap is an experimental library that optimizes modular mapping.
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2022-10-23 04:36:41 -04:00
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How do I define modular mapping?
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Imagine the mapping of all real numbers on a subset in a modular way.
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Imagine the real number line rolled around a defined circle with a minimum and maximum value.
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After one rotation the numbers mapped to start over again.
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E.g. moduloMap(7, 13) maps all the real numbers to the interval \[7; 13> modulo 6.
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So the numbers 7..13 do not change as they are already within the range 7-13.
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The number 6 is mapped on 12, 5 on 11, 4 on 10, .. 1 on 7, 0 on 12 -1 on 11 etc.
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Similar the numbers in between e.g 5.5 is mapped on 11.5
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Note: there is no scaling.
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Other name might be circular mapping, although it might be any shape.
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(for now circles is complex enough)
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### Applications
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- modular mapping of rotations to angles.
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This can be on 0-360 degrees or 0-2PI radians or -180-180 degrees
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or even -90..270 degrees.
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- hoist math
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Imagine a hoist, that needs to roll up / roll off a long rope around a cylinder.
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- wire cutter
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Determine the length of a wire for a wire cutter by moving it between two
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wheels with known circumference.
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- math fun
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## Interface
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- **moduloMap()** constructor.
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- **bool begin(float minimum, float maximum)** define the range the numbers should be mapped to.
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Returns true if minimum < maximum, false otherwise.
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- **float map(float value)** actual mapping of a value to a number within the range.
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- **float rotations(float value)** how many ranges (maximum - minimum) fit in a given length.
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Think of it as how many rotations must a hoist must make to "free" a rope of given length.
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Or how many rotations a hoist has to make to roll up a rope of given length.
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This includes the minimum that already has rolled off / should stay rolled off.
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Get internal parameters (for debug)
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- **float getMinimum()** idem.
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- **float getMaximum()** idem.
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- **float getRange()** idem.
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## Performance
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Tested with moduloMap_performance.ino on AVR.
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| version | 1000 x map |
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|:---------:|:------------:|
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| 0.1.0 | 44120 us |
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| 0.1.1 | 36340 us |
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## Operation
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The examples show the basic working of the functions.
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## Future
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#### must
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- elaborate documentation
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- add examples
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#### should
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- move code to .cpp file
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#### could
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- are there other than circular modulos
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- triangular, square, pentagram, fractal?
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- increasing length per rotation (complex)
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- add link to related libraries
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- angles + fastmap?
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- add **begin(float radius)**
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- assumes circle from 0..max
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#### wont
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