sPyNNaker neural_modelling 7.2.2
|
maths-util.h - first created 7/10/2013 version 0.1 More...
Go to the source code of this file.
Macros | |
#define | START 0 |
just for my convenience with zero offset arrays | |
#define | REAL_CONST(x) x##k |
Define a constant of type REAL. | |
#define | UREAL_CONST(x) x##uk |
Define a constant of type UREAL. | |
#define | FRACT_CONST(x) x##lr |
Define a constant of type FRACT. | |
#define | UFRACT_CONST(x) x##ulr |
Define a constant of type UFRACT. | |
#define | ONE REAL_CONST(1.0000) |
A REAL 1.0. | |
#define | HALF REAL_CONST(0.5000) |
A REAL 0.5. | |
#define | ZERO REAL_CONST(0.0000) |
A REAL 0.0. | |
#define | ACS_DBL_TINY REAL_CONST(0.000001) |
A REAL "very small number" (0.000001) | |
#define | SQRT(x) sqrtk(x) |
This calculates the square-root of the argument. | |
#define | SQRTU(x) sqrtuk(x) |
This calculates the square-root of the argument. | |
#define | EXP(x) expk(x) |
This calculates the exponential (to base e) of the argument. | |
#define | EXPU(x) expuk(x) |
This calculates the exponential (to base e) of the argument. | |
#define | ABS(x) absfx(x) |
This calculates the absolute value of the argument. | |
#define | SIGN(x, y) ((macro_arg_1=(y)) >= ZERO ? ABS(x) : -ABS(x)) |
This calculates the value of an argument with the sign copied from another argument. | |
#define | REAL_COMPARE(x, op, y) (bitsk((x)) op bitsk((y))) |
Compare two REAL numbers. | |
#define | REAL_TWICE(x) ((x) * 2.000000k) |
Multiply by two. | |
#define | REAL_HALF(x) ((x) * 0.500000k) |
Divide by two. | |
#define | MIN_HR(a, b) |
Minimum of two values. | |
#define | MAX_HR(a, b) |
Maximum of two values. | |
#define | SQR(a) |
Square of a value. | |
#define | CUBE(a) |
Cube of a value. | |
Typedefs | |
typedef unsigned int | Card |
A Cardinal type. | |
typedef accum | REAL |
Type used for "real" numbers. | |
typedef unsigned accum | UREAL |
Type used for "unsigned real" numbers. | |
typedef long fract | FRACT |
Type used for "fractional" numbers. | |
typedef unsigned long fract | UFRACT |
Type used for "unsigned fractional" numbers. | |
Functions | |
uint64_t | udiv64 (uint64_t, uint64_t) |
static REAL | kdivk (REAL a, REAL b) |
Divides an accum by another accum. | |
static UREAL | ukdivuk (UREAL a, UREAL b) |
Divides an unsigned accum by another unsigned accum. | |
static int32_t | udivk (int32_t a, REAL b) |
Divides an integer by an accum. | |
static REAL | kdivui (REAL a, uint32_t b) |
Divides an accum by an unsigned integer. | |
static UREAL | pow_of_2 (REAL p) |
Calculates 2^p where p is a real number (rather than just an integer). This is still quicker than general power operations. | |
Variables | |
static const uint32_t | fract_powers_2 [] |
static const uint32_t | fract_powers_half [] |
maths-util.h - first created 7/10/2013 version 0.1
some defines and other helper types/functions for applying ACS/HR types and ideas to SpiNNaker numerical coding
loose and transient toolbox of helper functions and macros until more structure present in maths libraries
this version 4-2-2014 is slightly cut down to allow source builds of neuron update code
Definition in file maths-util.h.
#define START 0 |
just for my convenience with zero offset arrays
Definition at line 44 of file maths-util.h.
Define a constant of type REAL.
x | The literal form of the number |
Definition at line 104 of file maths-util.h.
Define a constant of type UREAL.
x | The literal form of the number |
Definition at line 108 of file maths-util.h.
Define a constant of type FRACT.
x | The literal form of the number |
Definition at line 112 of file maths-util.h.
Define a constant of type UFRACT.
x | The literal form of the number |
Definition at line 116 of file maths-util.h.
#define ONE REAL_CONST(1.0000) |
A REAL 1.0.
Definition at line 119 of file maths-util.h.
#define HALF REAL_CONST(0.5000) |
A REAL 0.5.
Definition at line 121 of file maths-util.h.
#define ZERO REAL_CONST(0.0000) |
A REAL 0.0.
Definition at line 123 of file maths-util.h.
#define ACS_DBL_TINY REAL_CONST(0.000001) |
A REAL "very small number" (0.000001)
Definition at line 125 of file maths-util.h.
This calculates the square-root of the argument.
[in] | x | The REAL-valued argument |
Definition at line 130 of file maths-util.h.
This calculates the square-root of the argument.
[in] | x | The UREAL-valued argument |
Definition at line 135 of file maths-util.h.
This calculates the exponential (to base e) of the argument.
[in] | x | The REAL-valued argument |
Definition at line 140 of file maths-util.h.
This calculates the exponential (to base e) of the argument.
[in] | x | The UREAL-valued argument |
Definition at line 145 of file maths-util.h.
This calculates the absolute value of the argument.
[in] | x | The REAL-valued argument |
Definition at line 163 of file maths-util.h.
This calculates the value of an argument with the sign copied from another argument.
[in] | x | The REAL value to take the absolute value from |
[in] | y | The REAL value to take the sign from. |
Definition at line 174 of file maths-util.h.
Compare two REAL numbers.
[in] | x | The first REAL value to compare |
op | The comparison operator (e.g., >= ) | |
[in] | y | The second REAL value to compare |
Definition at line 192 of file maths-util.h.
Multiply by two.
[in] | x | The REAL argument |
Definition at line 197 of file maths-util.h.
Divide by two.
[in] | x | The REAL argument |
Definition at line 202 of file maths-util.h.
#define MIN_HR | ( | a, | |
b | |||
) |
Minimum of two values.
Definition at line 207 of file maths-util.h.
#define MAX_HR | ( | a, | |
b | |||
) |
Maximum of two values.
Definition at line 213 of file maths-util.h.
#define SQR | ( | a | ) |
Square of a value.
Definition at line 219 of file maths-util.h.
#define CUBE | ( | a | ) |
Cube of a value.
Definition at line 224 of file maths-util.h.
typedef unsigned int Card |
A Cardinal type.
Definition at line 41 of file maths-util.h.
typedef accum REAL |
Type used for "real" numbers.
Definition at line 91 of file maths-util.h.
typedef unsigned accum UREAL |
Type used for "unsigned real" numbers.
Definition at line 94 of file maths-util.h.
typedef long fract FRACT |
Type used for "fractional" numbers.
Definition at line 97 of file maths-util.h.
typedef unsigned long fract UFRACT |
Type used for "unsigned fractional" numbers.
Definition at line 100 of file maths-util.h.
|
extern |
Definition at line 24 of file c_main_neuron_common.h.
Divides an accum by another accum.
[in] | a | The dividend |
[in] | b | The divisor |
Definition at line 234 of file maths-util.h.
Divides an unsigned accum by another unsigned accum.
[in] | a | The dividend |
[in] | b | The divisor |
Definition at line 242 of file maths-util.h.
|
inlinestatic |
Divides an integer by an accum.
[in] | a | The dividend |
[in] | b | The divisor |
Definition at line 250 of file maths-util.h.
Divides an accum by an unsigned integer.
[in] | a | The dividend |
[in] | b | The divisor |
Definition at line 258 of file maths-util.h.
Calculates 2^p where p is a real number (rather than just an integer). This is still quicker than general power operations.
[in] | p | The power to raise 2 to; if p >= 16 or <= -16 the result will be saturated to MAX_U_REAL or 0 respectively. |
Definition at line 283 of file maths-util.h.
|
static |
2^(1/(2^n)) for values of n between 1 and 15, in U1616 format, then converted to uint32_t for computation. These can be used to work out fractional powers of 2 by multiplication.
Definition at line 265 of file maths-util.h.
|
static |
2^-(1/2^n)) for values of n between 1 and 15, in U1616 format, then converted to uint32_t for computation. These can be used to work out negative fractional power of 2 by multiplication.
Definition at line 274 of file maths-util.h.