Simple math functions. More...

Classes
class	Aggregate< Type_ >
	Calculate running aggregate statistics: feed it with values, and it will keep the minimum, the maximum, the average, the value number, and the standard deviation is values. More...

class	AggregateMinMax< Type_ >
	Calculate running aggregate statistics: feed it with values, and it will keep the minimum and the maximum values. More...

class	PolynomialRegression< Type, WithStore >
	Calculate the regression polynomial \( a_0+a_1x^1+a_2x^2+\cdots+a_nx^n \) from a list of 2D points. More...

Functions
template<typename T >
T	abs_diff (const T &a, const T &b)
	absolute difference, which also works for unsigned types More...

static uint16_t	bswap16_generic (const uint16_t &x)
	bswap16 - generic implementation More...

static uint16_t	bswap16 (const uint16_t &v)
	bswap16 - generic More...

static uint32_t	bswap32_generic (const uint32_t &x)
	bswap32 - generic implementation More...

static uint32_t	bswap32 (const uint32_t &v)
	bswap32 - generic More...

static uint64_t	bswap64_generic (const uint64_t &x)
	bswap64 - generic implementation More...

static uint64_t	bswap64 (const uint64_t &v)
	bswap64 - generic More...

template<typename Integral >
static unsigned	clz_template (Integral x)
	clz (count leading zeros) - generic implementation More...

template<typename Integral >
unsigned	clz (Integral x)

template<>
unsigned	clz< int > (int i)
	clz (count leading zeros) More...

template<>
unsigned	clz< unsigned > (unsigned i)
	clz (count leading zeros) More...

template<>
unsigned	clz< long > (long i)
	clz (count leading zeros) More...

template<>
unsigned	clz< unsigned long > (unsigned long i)
	clz (count leading zeros) More...

template<>
unsigned	clz< long long > (long long i)
	clz (count leading zeros) More...

template<>
unsigned	clz< unsigned long long > (unsigned long long i)
	clz (count leading zeros) More...

template<typename Integral >
static unsigned	ctz_template (Integral x)
	ctz (count trailing zeros) - generic implementation More...

template<typename Integral >
unsigned	ctz (Integral x)

template<>
unsigned	ctz< int > (int i)
	ctz (count trailing zeros) More...

template<>
unsigned	ctz< unsigned > (unsigned i)
	ctz (count trailing zeros) More...

template<>
unsigned	ctz< long > (long i)
	ctz (count trailing zeros) More...

template<>
unsigned	ctz< unsigned long > (unsigned long i)
	ctz (count trailing zeros) More...

template<>
unsigned	ctz< long long > (long long i)
	ctz (count trailing zeros) More...

template<>
unsigned	ctz< unsigned long long > (unsigned long long i)
	ctz (count trailing zeros) More...

template<typename IntegralN , typename IntegralK >
static constexpr auto	div_ceil (const IntegralN &n, const IntegralK &k) -> decltype(n+k)
	calculate n div k with rounding up, for n and k positive! More...

template<typename Integral >
static unsigned	ffs_template (Integral x)
	ffs (find first set bit) - generic implementation More...

static unsigned	ffs (int i)
	find first set bit in integer, or zero if none are set. More...

static unsigned	ffs (unsigned int i)
	find first set bit in integer, or zero if none are set. More...

static unsigned	ffs (long i)
	find first set bit in integer, or zero if none are set. More...

static unsigned	ffs (unsigned long i)
	find first set bit in integer, or zero if none are set. More...

static unsigned	ffs (long long i)
	find first set bit in integer, or zero if none are set. More...

static unsigned	ffs (unsigned long long i)
	find first set bit in integer, or zero if none are set. More...

template<typename IntegerType >
static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor_template (IntegerType i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (int i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (unsigned int i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (unsigned long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (long long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_floor (unsigned long long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (int i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (unsigned int i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (unsigned long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (long long i)
	calculate the log2 floor of an integer type More...

static TLX_ADVANCED_CONSTEXPR unsigned	integer_log2_ceil (unsigned long long i)
	calculate the log2 floor of an integer type More...

template<typename Integral >
static bool	is_power_of_two_template (Integral i)

static bool	is_power_of_two (int i)
	does what it says: true if i is a power of two More...

static bool	is_power_of_two (unsigned int i)
	does what it says: true if i is a power of two More...

static bool	is_power_of_two (long i)
	does what it says: true if i is a power of two More...

static bool	is_power_of_two (unsigned long i)
	does what it says: true if i is a power of two More...

static bool	is_power_of_two (long long i)
	does what it says: true if i is a power of two More...

static bool	is_power_of_two (unsigned long long i)
	does what it says: true if i is a power of two More...

static unsigned	popcount_generic8 (uint8_t x)
	popcount (count one bits) - generic SWAR implementation More...

static unsigned	popcount_generic16 (uint16_t x)
	popcount (count one bits) - generic SWAR implementation More...

static unsigned	popcount_generic32 (uint32_t x)
	popcount (count one bits) - generic SWAR implementation from https://stackoverflow.com/questions/109023 More...

static unsigned	popcount_generic64 (uint64_t x)
	popcount (count one bits) - generic SWAR implementation More...

template<typename Integral >
unsigned	popcount (Integral i)
	popcount (count one bits) More...

static size_t	popcount (const void *data, size_t size)

template<unsigned D, typename T >
static constexpr T	power_to_the (T x)
	power_to_the<D>(x) More...

static uint32_t	rol32_generic (const uint32_t &x, int i)
	rol32 - generic implementation More...

static uint32_t	rol32 (const uint32_t &x, int i)
	rol32 - generic More...

static uint64_t	rol64_generic (const uint64_t &x, int i)
	rol64 - generic implementation More...

static uint64_t	rol64 (const uint64_t &x, int i)
	rol64 - generic More...

static uint32_t	ror32_generic (const uint32_t &x, int i)
	ror32 - generic implementation More...

static uint32_t	ror32 (const uint32_t &x, int i)
	ror32 - generic More...

static uint64_t	ror64_generic (const uint64_t &x, int i)
	ror64 - generic implementation More...

static uint64_t	ror64 (const uint64_t &x, int i)
	ror64 - generic More...

template<typename Integral >
static Integral	round_up_to_power_of_two_template (Integral n)

static int	round_up_to_power_of_two (int i)
	does what it says: round up to next power of two More...

static unsigned int	round_up_to_power_of_two (unsigned int i)
	does what it says: round up to next power of two More...

static long	round_up_to_power_of_two (long i)
	does what it says: round up to next power of two More...

static unsigned long	round_up_to_power_of_two (unsigned long i)
	does what it says: round up to next power of two More...

static long long	round_up_to_power_of_two (long long i)
	does what it says: round up to next power of two More...

static unsigned long long	round_up_to_power_of_two (unsigned long long i)
	does what it says: round up to next power of two More...

static int	round_down_to_power_of_two (int i)
	does what it says: round down to next power of two More...

static unsigned int	round_down_to_power_of_two (unsigned int i)
	does what it says: round down to next power of two More...

static long	round_down_to_power_of_two (long i)
	does what it says: round down to next power of two More...

static unsigned long	round_down_to_power_of_two (unsigned long i)
	does what it says: round down to next power of two More...

static long long	round_down_to_power_of_two (long long i)
	does what it says: round down to next power of two More...

static unsigned long long	round_down_to_power_of_two (unsigned long long i)
	does what it says: round down to next power of two More...

template<typename IntegralN , typename IntegralK >
static constexpr auto	round_up (const IntegralN &n, const IntegralK &k) -> decltype(n+k)
	round n up to the next multiple of k, for n and k positive! More...

template<typename T >
int	sgn (const T &val)
	sgn() - signum More...

Detailed Description

Simple math functions.

Function Documentation

T tlx::abs_diff	(	const T &	a,
		const T &	b
	)

absolute difference, which also works for unsigned types

Definition at line 24 of file abs_diff.hpp.

static uint16_t tlx::bswap16 ( const uint16_t & v )

inlinestatic

bswap16 - generic

Definition at line 52 of file bswap.hpp.

static uint16_t tlx::bswap16_generic ( const uint16_t & x )

inlinestatic

bswap16 - generic implementation

Definition at line 31 of file bswap.hpp.

static uint32_t tlx::bswap32 ( const uint32_t & v )

inlinestatic

bswap32 - generic

Definition at line 84 of file bswap.hpp.

static uint32_t tlx::bswap32_generic ( const uint32_t & x )

inlinestatic

bswap32 - generic implementation

Definition at line 62 of file bswap.hpp.

static uint64_t tlx::bswap64 ( const uint64_t & v )

inlinestatic

bswap64 - generic

Definition at line 122 of file bswap.hpp.

static uint64_t tlx::bswap64_generic ( const uint64_t & x )

inlinestatic

bswap64 - generic implementation

Definition at line 94 of file bswap.hpp.

unsigned tlx::clz ( Integral x )

inline

unsigned tlx::clz< int > ( int i )

inline

clz (count leading zeros)

Definition at line 112 of file clz.hpp.

unsigned tlx::clz< long > ( long i )

inline

clz (count leading zeros)

Definition at line 124 of file clz.hpp.

unsigned tlx::clz< long long > ( long long i )

inline

clz (count leading zeros)

Definition at line 136 of file clz.hpp.

unsigned tlx::clz< unsigned > ( unsigned i )

inline

clz (count leading zeros)

Definition at line 118 of file clz.hpp.

unsigned tlx::clz< unsigned long > ( unsigned long i )

inline

clz (count leading zeros)

Definition at line 130 of file clz.hpp.

unsigned tlx::clz< unsigned long long > ( unsigned long long i )

inline

clz (count leading zeros)

Definition at line 142 of file clz.hpp.

static unsigned tlx::clz_template ( Integral x )

inlinestatic

clz (count leading zeros) - generic implementation

Definition at line 30 of file clz.hpp.

unsigned tlx::ctz ( Integral x )

inline

unsigned tlx::ctz< int > ( int i )

inline

ctz (count trailing zeros)

Definition at line 112 of file ctz.hpp.

unsigned tlx::ctz< long > ( long i )

inline

ctz (count trailing zeros)

Definition at line 124 of file ctz.hpp.

unsigned tlx::ctz< long long > ( long long i )

inline

ctz (count trailing zeros)

Definition at line 136 of file ctz.hpp.

unsigned tlx::ctz< unsigned > ( unsigned i )

inline

ctz (count trailing zeros)

Definition at line 118 of file ctz.hpp.

unsigned tlx::ctz< unsigned long > ( unsigned long i )

inline

ctz (count trailing zeros)

Definition at line 130 of file ctz.hpp.

unsigned tlx::ctz< unsigned long long > ( unsigned long long i )

inline

ctz (count trailing zeros)

Definition at line 142 of file ctz.hpp.

static unsigned tlx::ctz_template ( Integral x )

inlinestatic

ctz (count trailing zeros) - generic implementation

Definition at line 30 of file ctz.hpp.

static constexpr auto tlx::div_ceil	(	const IntegralN &	n,
		const IntegralK &	k
	)		-> decltype(n + k)

inlinestatic

calculate n div k with rounding up, for n and k positive!

Definition at line 25 of file div_ceil.hpp.

static unsigned tlx::ffs ( int i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 79 of file ffs.hpp.

static unsigned tlx::ffs ( unsigned int i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 85 of file ffs.hpp.

static unsigned tlx::ffs ( long i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 91 of file ffs.hpp.

static unsigned tlx::ffs ( unsigned long i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 97 of file ffs.hpp.

static unsigned tlx::ffs ( long long i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 103 of file ffs.hpp.

static unsigned tlx::ffs ( unsigned long long i )

inlinestatic

find first set bit in integer, or zero if none are set.

Definition at line 109 of file ffs.hpp.

static unsigned tlx::ffs_template ( Integral x )

inlinestatic

ffs (find first set bit) - generic implementation

Definition at line 27 of file ffs.hpp.

static TLX_ADVANCED_CONSTEXPR unsigned tlx::integer_log2_ceil ( int i )

static