GY-63_MS5611/libraries/Adler/README.md
2023-01-16 16:33:37 +01:00

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# Adler
Arduino Library for Adler-32 and experimental Adler-16 checksum.
## Description
This library provides an Adler32 checksum of a data array.
Furthermore since 0.2.0 an experimental Adler16 implementation is added.
This one is often faster as it uses a smaller checksum than the Adler32.
The price is that Adler16 is less sensitive than the Adler32.
Still it will have its niches where it will be useful.
0.2.0 is a breaking change, file names have been changed to be more
in line with the CRC library.
- Adler.h for the static functions
- Adler32.h for the Adler32 class
- Adler16.h for the Adler16 class.
#### related
- https://github.com/RobTillaart/Adler
- https://github.com/RobTillaart/CRC
- https://github.com/RobTillaart/Fletcher
- https://github.com/RobTillaart/LUHN
#### Tested
Tested on Arduino UNO and ESP32.
## Interface
### Adler class
Use **\#include "Adler32.h"** or **\#include "Adler16.h"**
The interface for the Adler16 is very similar.
- **Adler32()** Constructor, initializes internals.
- **void begin(uint8_t s1 = 1, uint8_t s2 = 0)** resets the internals.
optional setting start values for s1 and s2. Note this is not part of the standard.
These parameters allows a restart from a specific index in a buffer.
- **void add(uint8_t value)** add a single value to the checksum.
- **uint32_t add(const uint8_t \* array, uint8_t length)** add an array of values to the checksum.
Returns the current checksum.
- **uint32_t addFast(const uint8_t \* array, uint8_t length)** add an array of values to the checksum.
Is faster by trading PROGMEM for performance.
Returns the current checksum.
- **uint32_t getAdler()** get the current checksum.
- **uint32_t count()** get the number of items added. Merely a debugging feature,
can overflow without affecting checksum.
The class is typically used for streaming very large blocks of data,
optional with intermediate checksum tests (e.g after every 256 bytes)
## Performance Adler32
Only tested on UNO and ESP32 yet.
If you have data of other platforms, please let me know.
Numbers measured with **Adler32_performance.ino**.
### add(value)
The **add(value)** adds one byte and does a subtraction
instead of a modulo.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.1.0 | add | 5.6 us | |
| 0.1.2 | add | 6.6 us | |
| 0.2.0 | add | 5.9 us | 1.7 us |
### add(lorem) 868 chars
The **add(array, length)** is a straightforward loop
over the array and has a small footprint.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.1.0 | add | | |
| 0.1.2 | add | 6392 us | |
| 0.2.0 | add | 5748 us | 145 us |
Note: **add()** is about 6.6 us per byte.
### addFast(lorem) 868 chars
The **addFast(array, length)** is faster than the
reference **add(array, length)** and uses 108 bytes more (UNO).
So the function has a larger footprint.
Depending on your needs, choose performance or footprint.
See **Adler32_performance_addFast.ino**
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.1.0 | addFast | | |
| 0.1.2 | addFast | 1348 us | |
| 0.2.0 | addFast | 1348 us | 66 us |
Note: **addFast()** is less than 2 us per byte.
## Performance Adler16
Only tested on UNO and ESP32 yet.
If you have data of other platforms, please let me know.
Numbers measured with **Adler16_performance.ino**.
### add(value)
The **add(value)** adds one byte and does a subtraction
instead of a modulo.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.2.0 | add | 4.0 us | 1.8 us |
The per byte performance of the Adler16 (on UNO) is faster
than the Adler32 **add(value)**. The reason is that a 16 bit
subtraction on an UNO is faster than a 32 bit subtraction.
### add(lorem) 868 chars
The **add(array, length)** is a straightforward loop
over the array and has a small footprint.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.2.0 | add | 4040 us | 160 us |
Note: **add()** is about 6.6 us per byte.
### addFast(lorem) 868 chars
The **addFast(array, length)** is faster than the
reference **add(array, length)**.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.2.0 | addFast | 1968 us | 79 us |
The gain of the faster 16 bit modulo meets the frequency of
doing the modulo more often.
## Interface static functions
The functions are straightforward.
Use **\#include "Adler.h"**
- **uint32_t adler32(uint8_t \*data, uint16_t length, uint32_t s1 = 1, uint32_t s2 = 0)** length in units of 1 byte = 8 bits.
- **uint16_t adler16(uint8_t \*data, uint16_t length, uint16_t s1 = 1, uint16_t s2 = 0)** length in units of 1 byte = 8 bits.
The functions are typically used for an in memory buffer to calculate the checksum once.
Think of packets in a network, records in a database, or a checksum for an configuration in EEPROM.
### Performance
Only tested on UNO and ESP32 yet.
If you have data of other platforms, please let me know.
Numbers measured with **Adler_performance.ino**.
Lorem Ipsum text = 868 bytes.
| Version | Function | UNO 16 MHz | ESP32 240 MHz |
|:-------:|:---------|:----------:|:-------------:|
| 0.1.0 | Adler32 | 1116 us | |
| 0.1.2 | Adler32 | 1116 us | |
| 0.2.0 | Adler32 | 1116 us | 60 us |
| 0.2.0 | Adler16 | 1736 us | 75 us |
#### UNO
Adler32 average 1116 / 868 = 1.29 us per byte.
Adler16 average 1736 / 868 = 2.00 us per byte. (~1.5x slower !)
Adler16 does more often the modulo math as it reaches halfway uint16_t
faster than Adler32 reaches halfway uint32_t.
As the Adler16 is less performant as the Adler32 (on all tested platforms),
it is often the best choice to use the 32 bit version.
## Operation
See examples.
## Future
#### Must
#### Should
- improve documentation
- redo performance testing
- next major upgrade(0.3.0)
- other platforms?
- extend unit tests
- s1 s2 param static functions
-
#### Could
- Adler64 ?
- would need a large prime (which) => 4294967291
- max uint32_t = 4.294.967.296
- max uint32_t prime = 4.294.967.291
- need printHelpers library for printing.
- only on request.
- wrapper functions (static) for char array's in adler.h ?
- fix MAGIC NRS in adler.cpp
#### Wont
- do the string wrappers need strlen() ? parameter.
- yes, as string can be processed partially.
- no return value for **add(value)**
- would create too much overhead for repeated calls.