Math Utilities

Mathematics helper functions. Min/max functions, functions to uniformly increase the effective bid depth, etc. More...

Collaboration diagram for Math Utilities:

Functions
template<size_t Bits_out, size_t Bits_in, class T_out , class T_in >
T_out	increaseBitDepth (T_in in)
	Increase the bit depth of the given value from Bits_in bits wide to Bits_out bits wide, evenly distributing the error across the entire range, such that the error for each element is between -0.5 and +0.5. More...
template<class T , class U >
constexpr auto	min (const T &a, const U &b) -> decltype(b< a ? b :a)
	Return the smaller of two numbers/objects. More...
template<class T , class U >
constexpr auto	max (const T &a, const U &b) -> decltype(a< b ? b :a)
	Return the larger of two numbers/objects. More...

Detailed Description

Mathematics helper functions. Min/max functions, functions to uniformly increase the effective bid depth, etc.

Function Documentation

increaseBitDepth()

T_out AH::increaseBitDepth

(

T_in

in

)

Increase the bit depth of the given value from Bits_in bits wide to Bits_out bits wide, evenly distributing the error across the entire range, such that the error for each element is between -0.5 and +0.5.

For example, converting 3-bit numbers to 7-bit numbers would result in the following:

in (dec)	in (bin)	out (bin)	out (dec)	exact	error
0	000	000'0000	0	0.00	+0.00
1	001	001'0010	18	18.14	+0.14
2	010	010'0100	36	36.29	+0.29
3	011	011'0110	54	54.43	+0.43
4	100	100'1001	73	72.57	-0.43
5	101	101'1011	91	90.71	-0.29
6	110	110'1101	109	108.86	-0.14
7	111	111'1111	127	127.00	+0.00

Template Parameters

Bits_out	The number of bits of the output range.
Bits_in	The number of bits of the input range.
T_out	The type of the output (return type).
T_in	The type of the input.

Parameters

in	The value to scale up.

Returns

The scaled up value.

Definition at line 68 of file IncreaseBitDepth.hpp.

min()

constexpr auto AH::min ( const T &  a, const U &  b  ) -> decltype(b < a ? b : a)

constexpr

Return the smaller of two numbers/objects.

Examples

Blink-Frequency-Buttons.ino.

Definition at line 15 of file MinMaxFix.hpp.

max()

constexpr auto AH::max ( const T &  a, const U &  b  ) -> decltype(a < b ? b : a)

constexpr

Return the larger of two numbers/objects.

Examples

Blink-Frequency-Buttons.ino.

Definition at line 22 of file MinMaxFix.hpp.