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263 lines
10 KiB
Markdown
263 lines
10 KiB
Markdown
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# printHelpers
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Arduino library to help formatting data for printing.
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## Description
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The printHelpers library contains a number of functions that help to print
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data in a way not possible in the standard print library of the Arduino.
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- **print64()** print **uint64_t** and **int64_t**
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- **sci()** generates in scientific format - exponent has step 1.
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- **eng()** generates in engineering format - exponent has step 3.
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- **scieng()** generated exponential format - exponent has step 1 to 9.
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- **toBytes()** generates KB MB GB etc.
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- **hex()** generates hexadecimal output with leading zeros up to **uint64_t**.
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- **bin()** generates binary output with leading zeros up to **uint64_t**.
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- **toRoman()** generates a ROMAN representation of a (positive) number.
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Details, see below.
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#### Thread safety
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Note the functions of this library all share an internal buffer, so the library is
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definitely **not** thread safe.
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Therefore one should copy / print the data (returned pointer) as fast as possible.
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Thread-safe versions of these print functions might be made in the future.
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## Interface
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```cpp
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#include "printHelpers.h"
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```
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The following functions are implemented:
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#### print64()
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- **char \* print64(int64_t value, uint8_t base)** converts a 64 bit integer
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number to a char array.
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The plus sign is not printed, neither are leading zero's.
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Base 10 (DEC) and 16 (HEX) are supported and other bases up to 36 can be used.
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Note that negative numbers will always get a minus sign for any base.
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Cast the number to uint64_t to suppress the sign.
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- **char \* print64(uint64_t value, uint8_t base)** converts a unsigned 64 bit
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int number to a char array.
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No sign is printed, neither are leading zero's.
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Base 10 (DEC) and 16 (HEX) are supported and bases up to 36 can be used.
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#### sci() eng()
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- **char \* sci(double value, uint8_t decimals)** converts a float or double to a
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char array.
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E.g. **print(sci(f, 4))** ==> results in "6.7407E+21".
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The existing Arduino print library only supports printing of floats and
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doubles up to about 4E9 while the range of floats goes up to ~1E38.
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The smallest float values will often be printed as 0.00 while floats
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support down to about 1E-38 (subnormal even to 1E-45).
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Existing (AVR) library functions **dtostrf()** has no scientific notation
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and **dtostre()** is limited to 7 decimals. These latter two are faster.
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Values printed with **sci()** do look pretty in column output.
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- **char \* eng(double value, uint8_t decimals)** converts a float or double to a
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char array.
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E.g. print(eng(f, 4)) ==> results in "6.7407E+21".
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Note the exponent created by **eng()** is always a multiple of 3.
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Values printed with **eng()** do not always look pretty in column output.
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This is due to the exponent power of 3. However its output translates easy to
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thousands, millions etc which are powers of 3.
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- **char \* scieng(double value, uint8_t decimals, uint8_t exponentMultiple)** converts a
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float or double to a char array.
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**sci()** and **eng()** use the same underlying function called **scieng()**
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as the initial code for converting was almost identical.
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Although not intended to be used directly, one may use it.
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The last parameter **exponentMultiple** defines where the exponent is a multiple of.
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For the **sci()** function this is 1, for the **eng()** function this is 3.
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The **scieng()** function works for multiples from 1..9 for the exponent.
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The usability of other values than 1 and 3 are not known.
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Personally I like the multiple of 2 as I get 2 orders of magnitude in the
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mantissa.
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#### toBytes()
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- **char \* toBytes(double value, uint8_t decimals = 2)** makes from a big number
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representing an amount of bytes a shorter string usable for displaying.
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The number of decimals is max 3
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Example 3.292.528 ==> "3.140 MB"
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Value ranges supported are in steps of powers of 1024.
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These will all be shown in UPPERCASE so KB, MB etc.
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| Unit | abbrev. | size | Unit | abbrev. | size |
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|:-----------:|:---------:|:--------:|:------------:|:---------:|:--------:|
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| kilobytes | KB | 1024 | zettabytes | KB | 1024^7 |
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| megabytes | MB | 1024^2 | yottabytes | MB | 1024^8 |
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| gigabytes | GB | 1024^3 | xonaytes | GB | 1024^9 |
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| terabytes | TB | 1024^4 | wekabytes | TB | 1024^10 |
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| petabytes | PB | 1024^5 | vundabytes | PB | 1024^11 |
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| exabytes | EB | 1024^6 | udabytes | EB | 1024^12 |
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Treda Byte is shortened as "TDB" and uses 2 chars to indicate the magnitude.
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That would take extra memory or slightly more complex code.
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As it is very seldom used, "official" support stops with UDA.
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Should be big enough for some time.
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Note: max uint64_t 2^64 is in the order of exa or zetta bytes.
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To have some support for the really big sizes the code uses lowercase for the next 8 levels:
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treda sorta rinta quexa pepta ocha nena minga luma (1024\^21 ~~ 10\^63)
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To enable this patch the function in the **printHelpers.cpp** file.
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#### hex() bin()
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The default print() function of Arduino does not have leading zero's
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for **HEX** and **BIN**.
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This often causes a "broken" layout especially if one wants to print
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in columns or so.
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To solve this the following functions are added that will generate a
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constant length char array.
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- **char \* hex(uint64_t value, uint8_t digits = 16)**
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- **char \* hex(uint32_t value, uint8_t digits = 8)**
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- **char \* hex(uint16_t value, uint8_t digits = 4)**
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- **char \* hex(uint8_t value, uint8_t digits = 2)**
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- **char \* bin(uint64_t value, uint8_t digits = 64)**
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- **char \* bin(uint32_t value, uint8_t digits = 32)**
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- **char \* bin(uint16_t value, uint8_t digits = 16)**
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- **char \* bin(uint8_t value, uint8_t digits = 8)**
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Note: Data types not supported, must be cast to an supported type.
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Note: There is overlap between **hex(value)** and **print64(value, HEX)**.
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The latter does not produce the leading zero's or fixed length output.
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#### toRoman()
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https://en.wikipedia.org/wiki/Roman_numerals
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A less used but well known print format are the Roman digits.
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The library function **toRoman()** will convert any number from 0..100 million into a Roman number.
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The numbers 1..5000 ("official" range) are the well known UPPER case characters.
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- **char \* toRoman(uint32_t value)** returns Roman string.
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| char | unit | notes |
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|:------:|:-------|:------------|
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| M | 1000 | M = Mille |
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| D | 500 |
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| C | 100 | C = Cent |
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| L | 50 |
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| X | 10 |
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| V | 5 |
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| I | 1 |
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| N | 0 | extension |
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Note: The maximum length returned is 16 characters in the "official" supported range.
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4888 == MMMMDCCCLXXXVIII.
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Notes:
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- value == 0 => N is not part of the "official" numbers but we need it.
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- values < 0 are not supported (note parameter is unsigned)
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- values between 5K-10K are extended with extra M chars.
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- values 10K-100M are represented with lower case characters.
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This is not a standard, but it sort of works well.
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- values > 100M return OVF == overflow.
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- There is no special 'subtract code' for 9000 to have a clear distinction between
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"official" and extended numbers.
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- The number 4 is often written as IIII on clocks with Roman digits,
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although IV would be (more?) correct and therefore IV is used.
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## Shared print buffer
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The implementation of the function all use a shared buffer to hold the
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generated string.
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This is done to reduce the memory overhead of embedding static buffers.
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**Note this is not thread safe!**
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In a coming release the functions will be able to pass a buffer to them
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to become more thread safe.
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The size of this shared buffer is default 66 to be able to print a 64 bit
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integer in base 2.
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To save memory one can change this buffer size in the code or compile time
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by changing **PRINTBUFFERSIZE** in printHelpers.h.
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Be aware that **sci()** and **eng()** use the same buffer.
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These functions need about 10 bytes plus one bytes for every decimal used.
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So for floats one need 15-20 bytes max, for doubles one need up to 30 bytes max.
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In practice a size of 22 will work for most applications.
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| PRINTBUFFERSIZE | BASE SUPPORTED | nr. decimals | Notes |
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|:---------------:|:--------------:|:------------:|:----------|
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| 66 | 02 - 36 | 0 - 50 | (default) |
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| 34 | 04 - 36 | 0 - 20 |
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| 24 | 08 - 36 | 0 - 14 |
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| 22 | 10 - 36 | 0 - 12 |
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| 18 | 16 - 36 | 0 - 07 |
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When functions are added, the recommended minimum size might increase.
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## Future
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#### Must
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- check TODO's in the code
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#### Should
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- documentation
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- improve readability of the code
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#### Could
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- investigate separators in **hex()**
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- space per 8, 4 or 2
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- investigate thread safe version
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- pass char buffer as parameter (breaking)
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- could be the log10 pow version?
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- investigate distance print helpers.
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- feet(float cm) as 3'2" or 3-7/8 feet
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- inch(float cm) as 32"
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- yards(float meter),
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- miles(float kilometre)
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#### Wont
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- add **float()** as Arduino limits floats to "MAXLONG" by code.
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- use dtostrf() - is that portable?
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- use sci() or eng()
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- add **base(value, digits, base)** for any base > 1.
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- only upon request.
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- investigate separators in **bin()**
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- point or space, per 8 or 4 or 2
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- ==> printBuffer too small for bin(64) ==> need 75-100 bytes.
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- Investigate performance and accuracy
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- **sci()** and **eng()**.
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- investigate sci() version based upon use of log()
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- done => see examples.
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