Apa v0.6.6 ApaNumber View Source
APA : Arbitrary Precision Arithmetic - internal helper functions - ApaNumber.
Link to this section Summary
Functions
Parses a binary (number string) into an ApaNumber tuple.
This is based on Decimal version of pow10 (cool!!! - is much faster then my version). Extended with :error guard for < 0 - in case that ever happen.
Shifts an ApaNumber to another decimal point to work with the intended integer calculation of two numbers with the same decimal point this operation do not change the mathematical value: Apa.to_string({2, -1}) == "0.2" ~math-equal~ Apa.to_string({20, -2}) == "0.20" and always shift_decimal_point > exp because fillup with zeros reduce non existing zeros is not possible and not necessary to implement returns the shifted ApaNumber tupel or if not possible to shift the input tupel
Creates a string from an ApaNumber tuple.
Link to this section Functions
Parses a binary (number string) into an ApaNumber tuple.
It works with signs, leading and trailing zeros and additional chars will be ignored.
If successful, returns a tuple in the form of {integer_value, exponent}
:
ApaNumber.parse("+0003.00e+00000 Dollar") {3, 0}
When the binary cannot be parsed, the atom :error
will be returned.
The limit only depends on the internal integers - because of Elixir "unlimited" integers I would say "arbitrary".
Examples
iex> ApaNumber.parse("0003") {3, 0}
iex> ApaNumber.parse("+0003") {3, 0}
iex> ApaNumber.parse("-0003") {-3, 0}
iex> ApaNumber.parse("-0000120.1200") {-12012, -2}
iex> ApaNumber.parse("-0000120.1200") {-12012, -2}
iex> ApaNumber.parse("-03 Euro") {-3, 0}
iex> ApaNumber.parse("-0003e-2") {-3, -2}
iex> ApaNumber.parse("-3e-0002") {-3, -2}
iex> ApaNumber.parse("3e-12") {3, -12}
iex> ApaNumber.parse("+0003e+12") {3, 12}
iex> ApaNumber.parse("+0003e+00000") {3, 0}
iex> ApaNumber.parse("+0003.00e+00000 Dollar") {3, 0}
This is based on Decimal version of pow10 (cool!!! - is much faster then my version). Extended with :error guard for < 0 - in case that ever happen.
Examples
iex> ApaNumber.pow10(3) 1000
iex> ApaNumber.pow10(0) 1
Shifts an ApaNumber to another decimal point to work with the intended integer calculation of two numbers with the same decimal point this operation do not change the mathematical value: Apa.to_string({2, -1}) == "0.2" ~math-equal~ Apa.to_string({20, -2}) == "0.20" and always shift_decimal_point > exp because fillup with zeros reduce non existing zeros is not possible and not necessary to implement returns the shifted ApaNumber tupel or if not possible to shift the input tupel
Examples
iex> ApaNumber.shift_to({2, -1}, -2) {20, -2}
iex> ApaNumber.shift_to({2, -1}, -4) {2000, -4}
iex> ApaNumber.shift_to({2000, -1}, 0) {200, 0}
iex> ApaNumber.shift_to({2000, -4}, -1) {2, -1}
iex> ApaNumber.shift_to({20, -1}, 0) {2, 0}
Creates a string from an ApaNumber tuple.
Examples
iex> ApaNumber.to_string({3, 0}, -1, -1) "3"