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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...
 

Functions

template<typename 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 IntegralN , typename IntegralK >
static constexpr auto div_ceil (const IntegralN &n, const IntegralK &k) -> decltype(n+k)
 calculate n div k with rounding up 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 unsigned integer_log2_floor_template (IntegerType i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (int i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (unsigned int i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (unsigned long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (long long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_floor (unsigned long long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_ceil (int i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_ceil (unsigned int i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_ceil (long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_ceil (unsigned long i)
 calculate the log2 floor of an integer type More...
 
static unsigned integer_log2_ceil (long long i)
 calculate the log2 floor of an integer type More...
 
static 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)
 
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 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 105 of file clz.hpp.

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

clz (count leading zeros)

Definition at line 117 of file clz.hpp.

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

clz (count leading zeros)

Definition at line 129 of file clz.hpp.

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

clz (count leading zeros)

Definition at line 111 of file clz.hpp.

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

clz (count leading zeros)

Definition at line 123 of file clz.hpp.

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

clz (count leading zeros)

Definition at line 135 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.

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

calculate n div k with rounding up

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 unsigned tlx::integer_log2_ceil ( int  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 111 of file integer_log2.hpp.

static unsigned tlx::integer_log2_ceil ( unsigned int  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 117 of file integer_log2.hpp.

static unsigned tlx::integer_log2_ceil ( long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 123 of file integer_log2.hpp.

static unsigned tlx::integer_log2_ceil ( unsigned long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 129 of file integer_log2.hpp.

static unsigned tlx::integer_log2_ceil ( long long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 135 of file integer_log2.hpp.

static unsigned tlx::integer_log2_ceil ( unsigned long long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 141 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( int  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 76 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( unsigned int  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 81 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 86 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( unsigned long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 91 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( long long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 96 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor ( unsigned long long  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 101 of file integer_log2.hpp.

static unsigned tlx::integer_log2_floor_template ( IntegerType  i)
inlinestatic

calculate the log2 floor of an integer type

Definition at line 24 of file integer_log2.hpp.

static bool tlx::is_power_of_two ( int  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 31 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two ( unsigned int  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 36 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two ( long  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 41 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two ( unsigned long  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 46 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two ( long long  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 51 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two ( unsigned long long  i)
inlinestatic

does what it says: true if i is a power of two

Definition at line 56 of file is_power_of_two.hpp.

static bool tlx::is_power_of_two_template ( Integral  i)
inlinestatic

Definition at line 22 of file is_power_of_two.hpp.

unsigned tlx::popcount ( Integral  i)
inline

popcount (count one bits)

Definition at line 109 of file popcount.hpp.

static size_t tlx::popcount ( const void *  data,
size_t  size 
)
inlinestatic

Definition at line 128 of file popcount.hpp.

static unsigned tlx::popcount_generic16 ( uint16_t  x)
inlinestatic

popcount (count one bits) - generic SWAR implementation

Definition at line 39 of file popcount.hpp.

static unsigned tlx::popcount_generic32 ( uint32_t  x)
inlinestatic

popcount (count one bits) - generic SWAR implementation from https://stackoverflow.com/questions/109023

Definition at line 47 of file popcount.hpp.

static unsigned tlx::popcount_generic64 ( uint64_t  x)
inlinestatic

popcount (count one bits) - generic SWAR implementation

Definition at line 54 of file popcount.hpp.

static unsigned tlx::popcount_generic8 ( uint8_t  x)
inlinestatic

popcount (count one bits) - generic SWAR implementation

Definition at line 32 of file popcount.hpp.

static uint32_t tlx::rol32 ( const uint32_t &  x,
int  i 
)
inlinestatic

rol32 - generic

Definition at line 55 of file rol.hpp.

static uint32_t tlx::rol32_generic ( const uint32_t &  x,
int  i 
)
inlinestatic

rol32 - generic implementation

Definition at line 31 of file rol.hpp.

static uint64_t tlx::rol64 ( const uint64_t &  x,
int  i 
)
inlinestatic

rol64 - generic

Definition at line 89 of file rol.hpp.

static uint64_t tlx::rol64_generic ( const uint64_t &  x,
int  i 
)
inlinestatic

rol64 - generic implementation

Definition at line 65 of file rol.hpp.

static uint32_t tlx::ror32 ( const uint32_t &  x,
int  i 
)
inlinestatic

ror32 - generic

Definition at line 55 of file ror.hpp.

static uint32_t tlx::ror32_generic ( const uint32_t &  x,
int  i 
)
inlinestatic

ror32 - generic implementation

Definition at line 31 of file ror.hpp.

static uint64_t tlx::ror64 ( const uint64_t &  x,
int  i 
)
inlinestatic

ror64 - generic

Definition at line 89 of file ror.hpp.

static uint64_t tlx::ror64_generic ( const uint64_t &  x,
int  i 
)
inlinestatic

ror64 - generic implementation

Definition at line 65 of file ror.hpp.

static int tlx::round_down_to_power_of_two ( int  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 72 of file round_to_power_of_two.hpp.

static unsigned int tlx::round_down_to_power_of_two ( unsigned int  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 77 of file round_to_power_of_two.hpp.

static long tlx::round_down_to_power_of_two ( long  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 82 of file round_to_power_of_two.hpp.

static unsigned long tlx::round_down_to_power_of_two ( unsigned long  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 87 of file round_to_power_of_two.hpp.

static long long tlx::round_down_to_power_of_two ( long long  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 92 of file round_to_power_of_two.hpp.

static unsigned long long tlx::round_down_to_power_of_two ( unsigned long long  i)
inlinestatic

does what it says: round down to next power of two

Definition at line 98 of file round_to_power_of_two.hpp.

static int tlx::round_up_to_power_of_two ( int  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 38 of file round_to_power_of_two.hpp.

static unsigned int tlx::round_up_to_power_of_two ( unsigned int  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 43 of file round_to_power_of_two.hpp.

static long tlx::round_up_to_power_of_two ( long  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 48 of file round_to_power_of_two.hpp.

static unsigned long tlx::round_up_to_power_of_two ( unsigned long  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 53 of file round_to_power_of_two.hpp.

static long long tlx::round_up_to_power_of_two ( long long  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 58 of file round_to_power_of_two.hpp.

static unsigned long long tlx::round_up_to_power_of_two ( unsigned long long  i)
inlinestatic

does what it says: round up to next power of two

Definition at line 64 of file round_to_power_of_two.hpp.

static Integral tlx::round_up_to_power_of_two_template ( Integral  n)
inlinestatic

Definition at line 25 of file round_to_power_of_two.hpp.

int tlx::sgn ( const T &  val)

sgn() - signum

return the signum (-1, 0, +1) of a value.

Definition at line 26 of file sgn.hpp.