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/*!The Treasure Box Library
*
* TBox is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation; either version 2.1 of the License, or
* (at your option) any later version.
*
* TBox is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with TBox;
* If not, see <a href="http://www.gnu.org/licenses/"> http://www.gnu.org/licenses/</a>
*
* Copyright (C) 2009 - 2015, ruki All rights reserved.
*
* @author ruki
* @file fixed6.h
* @ingroup math
*
*/
#ifndef TB_MATH_FIXED6_H
#define TB_MATH_FIXED6_H
/* //////////////////////////////////////////////////////////////////////////////////////
* includes
*/
#include "prefix.h"
#include "fixed16.h"
/* //////////////////////////////////////////////////////////////////////////////////////
* extern
*/
__tb_extern_c_enter__
/* //////////////////////////////////////////////////////////////////////////////////////
* macros
*/
// constant
#define TB_FIXED6_ONE (64)
#define TB_FIXED6_HALF (32)
#define TB_FIXED6_MAX (TB_MAXS32)
#define TB_FIXED6_MIN (TB_MINS32)
#define TB_FIXED6_NAN ((tb_int_t)0x80000000)
#define TB_FIXED6_INF (TB_MAXS32)
#define TB_FIXED6_PI (0xc9)
#define TB_FIXED6_SQRT2 (0x5a)
#define TB_FIXED6_NEAR0 (0)
// conversion
#ifdef TB_CONFIG_TYPE_HAVE_FLOAT
# ifndef tb_fixed6_to_float
# define tb_fixed6_to_float(x) (((x) * 0.015625))
# endif
# ifndef tb_float_to_fixed6
# define tb_float_to_fixed6(x) ((tb_fixed6_t)((x) * TB_FIXED6_ONE))
# endif
#endif
#ifdef __tb_debug__
# define tb_int_to_fixed6(x) tb_long_to_fixed6_check(x)
# define tb_fixed6_to_int(x) tb_fixed6_to_long_check(x)
# define tb_long_to_fixed6(x) tb_long_to_fixed6_check(x)
# define tb_fixed6_to_long(x) tb_fixed6_to_long_check(x)
#else
# define tb_int_to_fixed6(x) (tb_fixed6_t)((x) << 6)
# define tb_fixed6_to_int(x) (tb_int_t)((x) >> 6)
# define tb_long_to_fixed6(x) (tb_fixed6_t)((x) << 6)
# define tb_fixed6_to_long(x) (tb_long_t)((x) >> 6)
#endif
#define tb_fixed6_to_fixed16(x) ((x) << 10)
#define tb_fixed16_to_fixed6(x) ((x) >> 10)
// round
#define tb_fixed6_round(x) (((x) + TB_FIXED6_HALF) >> 6)
// ceil
#define tb_fixed6_ceil(x) (((x) + TB_FIXED6_ONE - 1) >> 6)
// floor
#define tb_fixed6_floor(x) ((x) >> 6)
// abs
#define tb_fixed6_abs(x) tb_abs(x)
// avg
#define tb_fixed6_avg(x, y) (((x) + (y)) >> 1)
// nearly equal?
#define tb_fixed6_near_eq(x, y) (tb_fixed6_abs((x) - (y)) <= TB_FIXED6_NEAR0)
// mul
#ifndef tb_fixed6_mul
# define tb_fixed6_mul(x, y) tb_fixed6_mul_inline(x, y)
#endif
// div
#ifndef tb_fixed6_div
# define tb_fixed6_div(x, y) tb_fixed6_div_inline(x, y)
#endif
// imul
#ifndef tb_fixed6_imul
# define tb_fixed6_imul(x, y) tb_fixed16_imul(x, y)
#endif
// idiv
#ifndef tb_fixed6_idiv
# define tb_fixed6_idiv(x, y) tb_fixed16_idiv(x, y)
#endif
// imuldiv
#ifndef tb_fixed6_imuldiv
# define tb_fixed6_imuldiv(x, y, z) tb_fixed16_imuldiv(x, y, z)
#endif
// imulsub
#ifndef tb_fixed6_imulsub
# define tb_fixed6_imulsub(x, y, z) tb_fixed16_imulsub(x, y, z)
#endif
// lsh
#ifndef tb_fixed6_lsh
# define tb_fixed6_lsh(x, y) tb_fixed16_lsh(x, y)
#endif
// rsh
#ifndef tb_fixed6_rsh
# define tb_fixed6_rsh(x, y) tb_fixed16_rsh(x, y)
#endif
/* //////////////////////////////////////////////////////////////////////////////////////
* inlines
*/
#ifdef __tb_debug__
static __tb_inline__ tb_fixed6_t tb_long_to_fixed6_check(tb_long_t x)
{
// check overflow
tb_assert(x >= (TB_MINS32 >> 10) && x <= (TB_MAXS32 >> 10));
// ok
return (tb_fixed6_t)(x << 6);
}
static __tb_inline__ tb_long_t tb_fixed6_to_int_check(tb_fixed6_t x)
{
// check overflow
tb_assert(x >= TB_FIXED6_MIN && x <= TB_FIXED6_MAX);
// ok
return (tb_fixed6_t)(x >> 6);
}
#endif
static __tb_inline__ tb_fixed6_t tb_fixed6_mul_inline(tb_fixed6_t x, tb_fixed6_t y)
{
// done
tb_hong_t v = (((tb_hong_t)x * y) >> 6);
// check overflow
tb_assert(v == (tb_int32_t)v);
// ok
return (tb_fixed16_t)v;
}
static __tb_inline__ tb_fixed16_t tb_fixed6_div_inline(tb_fixed6_t x, tb_fixed6_t y)
{
// check
tb_assert(y);
// no overflow? compute it fastly
if (x == (tb_int16_t)x) return (x << 16) / y;
// done
return tb_fixed16_div(x, y);
}
/* //////////////////////////////////////////////////////////////////////////////////////
* extern
*/
__tb_extern_c_leave__
#endif
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