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imath: Integer Math functions

This modules provides some integer-only math functions. More...

## Detailed Description

This modules provides some integer-only math functions.

They can be used when no FPU is available or no exact precision is needed.

## Macros

#define SINI_PERIOD   0x8000
Period of the fast_sini() function.

#define SINI_MAX   0x1000
Max value of the fast_sini() function.

#define SINI_MIN   -0x1000
Min value of the fast_sini() function.

## Functions

static int32_t _ihelp (int32_t x)
Internal fast_sini/fast_cosi helper function.

static int32_t fast_sini (int32_t x)
A sine approximation via a fourth-order cosine approx.

static int32_t fast_cosi (int32_t x)
A a fourth-order cosine approx.

static unsigned sqrti (unsigned x)
Square root of an integer.

static uint32_t powi (unsigned x, unsigned y)
Returns the value of x to the power of y.

## ◆ SINI_MAX

 #define SINI_MAX   0x1000

Max value of the fast_sini() function.

Definition at line 31 of file imath.h.

## ◆ SINI_MIN

 #define SINI_MIN   -0x1000

Min value of the fast_sini() function.

Definition at line 32 of file imath.h.

## ◆ SINI_PERIOD

 #define SINI_PERIOD   0x8000

Period of the fast_sini() function.

Definition at line 30 of file imath.h.

## ◆ _ihelp()

 static int32_t _ihelp ( int32_t x )
inlinestatic

Internal fast_sini/fast_cosi helper function.

Definition at line 43 of file imath.h.

## ◆ fast_cosi()

 static int32_t fast_cosi ( int32_t x )
inlinestatic

A a fourth-order cosine approx.

Parameters
 x angle (with 2^15 units/circle)
Returns
sine value (-2^12 ≤ y ≤ 2^12)

Definition at line 86 of file imath.h.

## ◆ fast_sini()

 static int32_t fast_sini ( int32_t x )
inlinestatic

A sine approximation via a fourth-order cosine approx.

Parameters
 x angle (with 2^15 units/circle)
Returns
sine value (-2^12 ≤ y ≤ 2^12)

Definition at line 69 of file imath.h.

## ◆ powi()

 static uint32_t powi ( unsigned x, unsigned y )
inlinestatic

Returns the value of x to the power of y.

Parameters
 x base y exponent
Returns
x^y

Definition at line 128 of file imath.h.

## ◆ sqrti()

 static unsigned sqrti ( unsigned x )
inlinestatic

Square root of an integer.

Parameters
 x unsigned integer value
Returns
square root of `x`

Definition at line 102 of file imath.h.