mirror of
https://github.com/ZDoom/raze-gles.git
synced 2024-12-30 13:21:04 +00:00
318 lines
10 KiB
C
318 lines
10 KiB
C
#ifndef __libfixmath_fix16_h__
|
|
#define __libfixmath_fix16_h__
|
|
|
|
#ifdef __cplusplus
|
|
extern "C"
|
|
{
|
|
#endif
|
|
|
|
|
|
/* These options may let the optimizer to remove some calls to the functions.
|
|
* Refer to http://gcc.gnu.org/onlinedocs/gcc/Function-Attributes.html
|
|
*/
|
|
#ifndef FIXMATH_FUNC_ATTRS
|
|
# ifdef __GNUC__
|
|
# if __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ > 6)
|
|
# define FIXMATH_FUNC_ATTRS __attribute__((leaf, nothrow, const))
|
|
# else
|
|
# define FIXMATH_FUNC_ATTRS __attribute__((nothrow, const))
|
|
# endif
|
|
# else
|
|
# define FIXMATH_FUNC_ATTRS
|
|
# endif
|
|
#endif
|
|
|
|
#include <stdint.h>
|
|
|
|
typedef int32_t fix16_t;
|
|
|
|
static const fix16_t FOUR_DIV_PI = 0x145F3; /*!< Fix16 value of 4/PI */
|
|
static const fix16_t _FOUR_DIV_PI2 = 0xFFFF9840; /*!< Fix16 value of -4/PI² */
|
|
static const fix16_t X4_CORRECTION_COMPONENT = 0x399A; /*!< Fix16 value of 0.225 */
|
|
static const fix16_t PI_DIV_4 = 0x0000C90F; /*!< Fix16 value of PI/4 */
|
|
static const fix16_t THREE_PI_DIV_4 = 0x00025B2F; /*!< Fix16 value of 3PI/4 */
|
|
|
|
static const fix16_t fix16_maximum = 0x7FFFFFFF; /*!< the maximum value of fix16_t */
|
|
static const fix16_t fix16_minimum = 0x80000000; /*!< the minimum value of fix16_t */
|
|
static const fix16_t fix16_overflow = 0x80000000; /*!< the value used to indicate overflows when FIXMATH_NO_OVERFLOW is not specified */
|
|
|
|
static const fix16_t fix16_pi = 205887; /*!< fix16_t value of pi */
|
|
static const fix16_t fix16_e = 178145; /*!< fix16_t value of e */
|
|
static const fix16_t fix16_one = 0x00010000; /*!< fix16_t value of 1 */
|
|
|
|
/* Conversion functions between fix16_t and float/integer.
|
|
* These are inlined to allow compiler to optimize away constant numbers
|
|
*/
|
|
static inline fix16_t fix16_from_int(int a) { return a * fix16_one; }
|
|
static inline float fix16_to_float(fix16_t a) { return (float)a / fix16_one; }
|
|
static inline double fix16_to_dbl(fix16_t a) { return (double)a / fix16_one; }
|
|
|
|
static inline int fix16_to_int(fix16_t a)
|
|
{
|
|
#ifdef FIXMATH_NO_ROUNDING
|
|
return (a >> 16);
|
|
#else
|
|
if (a >= 0)
|
|
return (a + (fix16_one >> 1)) / fix16_one;
|
|
return (a - (fix16_one >> 1)) / fix16_one;
|
|
#endif
|
|
}
|
|
|
|
static inline fix16_t fix16_from_float(float a)
|
|
{
|
|
float temp = a * fix16_one;
|
|
#ifndef FIXMATH_NO_ROUNDING
|
|
temp += (temp >= 0) ? 0.5f : -0.5f;
|
|
#endif
|
|
return (fix16_t)temp;
|
|
}
|
|
|
|
static inline fix16_t fix16_from_dbl(double a)
|
|
{
|
|
double temp = a * fix16_one;
|
|
#ifndef FIXMATH_NO_ROUNDING
|
|
temp += (temp >= 0) ? 0.5f : -0.5f;
|
|
#endif
|
|
return (fix16_t)temp;
|
|
}
|
|
|
|
/* Macro for defining fix16_t constant values.
|
|
The functions above can't be used from e.g. global variable initializers,
|
|
and their names are quite long also. This macro is useful for constants
|
|
springled alongside code, e.g. F16(1.234).
|
|
|
|
Note that the argument is evaluated multiple times, and also otherwise
|
|
you should only use this for constant values. For runtime-conversions,
|
|
use the functions above.
|
|
*/
|
|
#define F16(x) ((fix16_t)(((x) >= 0) ? ((x) * 65536.0 + 0.5) : ((x) * 65536.0 - 0.5)))
|
|
|
|
static inline fix16_t fix16_abs(fix16_t x)
|
|
{ return (x < 0 ? -x : x); }
|
|
static inline fix16_t fix16_floor(fix16_t x)
|
|
{ return (x & 0xFFFF0000UL); }
|
|
static inline fix16_t fix16_ceil(fix16_t x)
|
|
{ return (x & 0xFFFF0000UL) + (x & 0x0000FFFFUL ? fix16_one : 0); }
|
|
static inline fix16_t fix16_min(fix16_t x, fix16_t y)
|
|
{ return (x < y ? x : y); }
|
|
static inline fix16_t fix16_max(fix16_t x, fix16_t y)
|
|
{ return (x > y ? x : y); }
|
|
static inline fix16_t fix16_clamp(fix16_t x, fix16_t lo, fix16_t hi)
|
|
{ return fix16_min(fix16_max(x, lo), hi); }
|
|
|
|
/* Subtraction and addition with (optional) overflow detection. */
|
|
#ifdef FIXMATH_NO_OVERFLOW
|
|
|
|
static inline fix16_t fix16_add(fix16_t inArg0, fix16_t inArg1) { return (inArg0 + inArg1); }
|
|
static inline fix16_t fix16_sub(fix16_t inArg0, fix16_t inArg1) { return (inArg0 - inArg1); }
|
|
|
|
#else
|
|
|
|
extern fix16_t fix16_add(fix16_t a, fix16_t b) FIXMATH_FUNC_ATTRS;
|
|
extern fix16_t fix16_sub(fix16_t a, fix16_t b) FIXMATH_FUNC_ATTRS;
|
|
|
|
/* Saturating arithmetic */
|
|
extern fix16_t fix16_sadd(fix16_t a, fix16_t b) FIXMATH_FUNC_ATTRS;
|
|
extern fix16_t fix16_ssub(fix16_t a, fix16_t b) FIXMATH_FUNC_ATTRS;
|
|
|
|
#endif
|
|
|
|
/*! Multiplies the two given fix16_t's and returns the result.
|
|
*/
|
|
extern fix16_t fix16_mul(fix16_t inArg0, fix16_t inArg1) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Divides the first given fix16_t by the second and returns the result.
|
|
*/
|
|
extern fix16_t fix16_div(fix16_t inArg0, fix16_t inArg1) FIXMATH_FUNC_ATTRS;
|
|
|
|
#ifndef FIXMATH_NO_OVERFLOW
|
|
/*! Performs a saturated multiplication (overflow-protected) of the two given fix16_t's and returns the result.
|
|
*/
|
|
extern fix16_t fix16_smul(fix16_t inArg0, fix16_t inArg1) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Performs a saturated division (overflow-protected) of the first fix16_t by the second and returns the result.
|
|
*/
|
|
extern fix16_t fix16_sdiv(fix16_t inArg0, fix16_t inArg1) FIXMATH_FUNC_ATTRS;
|
|
#endif
|
|
|
|
/*! Divides the first given fix16_t by the second and returns the result.
|
|
*/
|
|
extern fix16_t fix16_mod(fix16_t x, fix16_t y) FIXMATH_FUNC_ATTRS;
|
|
|
|
|
|
|
|
/*! Returns the linear interpolation: (inArg0 * (1 - inFract)) + (inArg1 * inFract)
|
|
*/
|
|
extern fix16_t fix16_lerp8(fix16_t inArg0, fix16_t inArg1, uint8_t inFract) FIXMATH_FUNC_ATTRS;
|
|
extern fix16_t fix16_lerp16(fix16_t inArg0, fix16_t inArg1, uint16_t inFract) FIXMATH_FUNC_ATTRS;
|
|
extern fix16_t fix16_lerp32(fix16_t inArg0, fix16_t inArg1, uint32_t inFract) FIXMATH_FUNC_ATTRS;
|
|
|
|
|
|
|
|
/*! Returns the sine of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_sin_parabola(fix16_t inAngle) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the sine of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_sin(fix16_t inAngle) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the cosine of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_cos(fix16_t inAngle) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the tangent of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_tan(fix16_t inAngle) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the arcsine of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_asin(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the arccosine of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_acos(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the arctangent of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_atan(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the arctangent of inY/inX.
|
|
*/
|
|
extern fix16_t fix16_atan2(fix16_t inY, fix16_t inX) FIXMATH_FUNC_ATTRS;
|
|
|
|
static const fix16_t fix16_rad_to_deg_mult = 3754936;
|
|
static inline fix16_t fix16_rad_to_deg(fix16_t radians)
|
|
{ return fix16_mul(radians, fix16_rad_to_deg_mult); }
|
|
|
|
static const fix16_t fix16_deg_to_rad_mult = 1144;
|
|
static inline fix16_t fix16_deg_to_rad(fix16_t degrees)
|
|
{ return fix16_mul(degrees, fix16_deg_to_rad_mult); }
|
|
|
|
|
|
|
|
/*! Returns the square root of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_sqrt(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the square of the given fix16_t.
|
|
*/
|
|
static inline fix16_t fix16_sq(fix16_t x)
|
|
{ return fix16_mul(x, x); }
|
|
|
|
/*! Returns the exponent (e^) of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_exp(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the natural logarithm of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_log(fix16_t inValue) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the base 2 logarithm of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_log2(fix16_t x) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Returns the saturated base 2 logarithm of the given fix16_t.
|
|
*/
|
|
extern fix16_t fix16_slog2(fix16_t x) FIXMATH_FUNC_ATTRS;
|
|
|
|
/*! Convert fix16_t value to a string.
|
|
* Required buffer length for largest values is 13 bytes.
|
|
*/
|
|
extern void fix16_to_str(fix16_t value, char *buf, int decimals);
|
|
|
|
/*! Convert string to a fix16_t value
|
|
* Ignores spaces at beginning and end. Returns fix16_overflow if
|
|
* value is too large or there were garbage characters.
|
|
*/
|
|
extern fix16_t fix16_from_str(const char *buf);
|
|
|
|
/** Helper macro for F16C. Replace token with its number of characters/digits. */
|
|
#define FIXMATH_TOKLEN(token) ( sizeof( #token ) - 1 )
|
|
|
|
/** Helper macro for F16C. Handles pow(10, n) for n from 0 to 8. */
|
|
#define FIXMATH_CONSTANT_POW10(times) ( \
|
|
(times == 0) ? 1ULL \
|
|
: (times == 1) ? 10ULL \
|
|
: (times == 2) ? 100ULL \
|
|
: (times == 3) ? 1000ULL \
|
|
: (times == 4) ? 10000ULL \
|
|
: (times == 5) ? 100000ULL \
|
|
: (times == 6) ? 1000000ULL \
|
|
: (times == 7) ? 10000000ULL \
|
|
: 100000000ULL \
|
|
)
|
|
|
|
|
|
/** Helper macro for F16C, the type uint64_t is only used at compile time and
|
|
* shouldn't be visible in the generated code.
|
|
*
|
|
* @note We do not use fix16_one instead of 65536ULL, because the
|
|
* "use of a const variable in a constant expression is nonstandard in C".
|
|
*/
|
|
#define FIXMATH_CONVERT_MANTISSA(m) \
|
|
( (unsigned) \
|
|
( \
|
|
( \
|
|
( \
|
|
(uint64_t)( ( ( 1 ## m ## ULL ) - FIXMATH_CONSTANT_POW10(FIXMATH_TOKLEN(m)) ) * FIXMATH_CONSTANT_POW10(5 - FIXMATH_TOKLEN(m)) ) \
|
|
* 100000ULL * 65536ULL \
|
|
) \
|
|
+ 5000000000ULL /* rounding: + 0.5 */ \
|
|
) \
|
|
/ \
|
|
10000000000LL \
|
|
) \
|
|
)
|
|
|
|
|
|
#define FIXMATH_COMBINE_I_M(i, m) \
|
|
( \
|
|
( \
|
|
( i ) \
|
|
<< 16 \
|
|
) \
|
|
| \
|
|
( \
|
|
FIXMATH_CONVERT_MANTISSA(m) \
|
|
& 0xFFFF \
|
|
) \
|
|
)
|
|
|
|
|
|
/** Create int16_t (Q16.16) constant from separate integer and mantissa part.
|
|
*
|
|
* Only tested on 32-bit ARM Cortex-M0 / x86 Intel.
|
|
*
|
|
* This macro is needed when compiling with options like "--fpu=none",
|
|
* which forbid all and every use of float and related types and
|
|
* would thus make it impossible to have fix16_t constants.
|
|
*
|
|
* Just replace uses of F16() with F16C() like this:
|
|
* F16(123.1234) becomes F16C(123,1234)
|
|
*
|
|
* @warning Specification of any value outside the mentioned intervals
|
|
* WILL result in undefined behavior!
|
|
*
|
|
* @note Regardless of the specified minimum and maximum values for i and m below,
|
|
* the total value of the number represented by i and m MUST be in the interval
|
|
* ]-32768.00000:32767.99999[ else usage with this macro will yield undefined behavior.
|
|
*
|
|
* @param i Signed integer constant with a value in the interval ]-32768:32767[.
|
|
* @param m Positive integer constant in the interval ]0:99999[ (fractional part/mantissa).
|
|
*/
|
|
#define F16C(i, m) \
|
|
( (fix16_t) \
|
|
( \
|
|
(( #i[0] ) == '-') \
|
|
? -FIXMATH_COMBINE_I_M((unsigned)( ( (i) * -1) ), m) \
|
|
: FIXMATH_COMBINE_I_M((unsigned)i, m) \
|
|
) \
|
|
)
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#include "fix16.hpp"
|
|
#endif
|
|
|
|
#endif
|