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/*!The Treasure Box Library
*
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* Copyright (C) 2009 - 2017, TBOOX Open Source Group.
*
* @author ruki
* @file fixed30.h
* @ingroup math
*
*/
#ifndef TB_MATH_FIXED30_H
#define TB_MATH_FIXED30_H
/* //////////////////////////////////////////////////////////////////////////////////////
* includes
*/
#include "prefix.h"
#include "int32.h"
#include "../libm/libm.h"
#ifdef TB_ARCH_ARM
# include "impl/fixed16_arm.h"
#endif
/* //////////////////////////////////////////////////////////////////////////////////////
* extern
*/
__tb_extern_c_enter__
/* //////////////////////////////////////////////////////////////////////////////////////
* macros
*/
// constant
#define TB_FIXED30_ONE (1 << 30)
#define TB_FIXED30_HALF (1 << 29)
#define TB_FIXED30_MAX (TB_MAXS32)
#define TB_FIXED30_MIN (-TB_FIXED30_MAX)
#define TB_FIXED30_NAN ((tb_int_t)0x80000000)
#define TB_FIXED30_INF (TB_MAXS32)
#define TB_FIXED30_SQRT2 (0x5a827999)
// conversion
#ifdef TB_CONFIG_TYPE_HAVE_FLOAT
# ifndef tb_fixed30_to_float
# define tb_fixed30_to_float(x) (((x) * 0.00000000093132257f))
# endif
# ifndef tb_float_to_fixed30
# ifdef __tb_debug__
# define tb_float_to_fixed30(x) tb_float_to_fixed30_check(x)
# else
# define tb_float_to_fixed30(x) ((tb_fixed30_t)((x) * TB_FIXED30_ONE))
# endif
# endif
#endif
#ifdef __tb_debug__
# define tb_fixed16_to_fixed30(x) tb_fixed16_to_fixed30_check(x)
#else
# define tb_fixed16_to_fixed30(x) ((x) << 14)
#endif
#define tb_fixed30_to_fixed16(x) ((x) >> 14)
// abs
#define tb_fixed30_abs(x) tb_abs(x)
// avg
#define tb_fixed30_avg(x, y) (((x) + (y)) >> 1)
// mul
#ifndef tb_fixed30_mul
# if 1
# define tb_fixed30_mul(x, y) tb_fixed30_mul_int64(x, y)
# elif defined(TB_CONFIG_TYPE_HAVE_FLOAT)
# define tb_fixed30_mul(x, y) tb_fixed30_mul_float(x, y)
# else
# define tb_fixed30_mul(x, y) tb_fixed30_mul_int32(x, y)
# endif
#endif
// div
#ifndef tb_fixed30_div
# if 1
# define tb_fixed30_div(x, y) tb_fixed30_div_int64(x, y)
# elif defined(TB_CONFIG_TYPE_HAVE_FLOAT)
# define tb_fixed30_div(x, y) tb_fixed30_div_float(x, y)
# else
# define tb_fixed30_div(x, y) tb_int32_div(x, y, 30)
# endif
#endif
// sqre
#ifndef tb_fixed30_sqre
# if 1
# define tb_fixed30_sqre(x) tb_fixed30_sqre_int64(x)
# elif defined(TB_CONFIG_TYPE_HAVE_FLOAT)
# define tb_fixed30_sqre(x) tb_fixed30_sqre_float(x)
# else
# define tb_fixed30_sqre(x) tb_fixed30_sqre_int32(x)
# endif
#endif
// sqrt
#ifndef tb_fixed30_sqrt
# define tb_fixed30_sqrt(x) tb_fixed30_sqrt_int32(x)
#endif
/* //////////////////////////////////////////////////////////////////////////////////////
* inlines
*/
#ifdef __tb_debug__
# ifdef TB_CONFIG_TYPE_HAVE_FLOAT
static __tb_inline__ tb_fixed30_t tb_float_to_fixed30_check(tb_float_t x)
{
// check overflow, [-2., 2.]
tb_assert(x >= -2. && x <= 2.);
return ((tb_fixed30_t)((x) * TB_FIXED30_ONE));
}
# endif
static __tb_inline__ tb_fixed30_t tb_fixed16_to_fixed30_check(tb_fixed16_t x)
{
// check overflow, [-2, 2]
tb_assert((x >> 16) >= -2 && (x >> 16) <= 2);
return (x << 14);
}
#endif
static __tb_inline__ tb_fixed30_t tb_fixed30_mul_int64(tb_fixed30_t x, tb_fixed30_t y)
{
return (tb_fixed30_t)((tb_hong_t)x * y >> 30);
}
static __tb_inline__ tb_fixed30_t tb_fixed30_div_int64(tb_fixed30_t x, tb_fixed30_t y)
{
tb_assert(y);
return (tb_fixed30_t)((((tb_hong_t)x) << 30) / y);
}
static __tb_inline__ tb_fixed30_t tb_fixed30_sqre_int64(tb_fixed30_t x)
{
return (tb_fixed30_t)((tb_hong_t)x * x >> 30);
}
#ifdef TB_CONFIG_TYPE_HAVE_FLOAT
static __tb_inline__ tb_fixed30_t tb_fixed30_mul_float(tb_fixed30_t x, tb_fixed30_t y)
{
tb_float_t f = tb_fixed30_to_float(x) * tb_fixed30_to_float(y);
return tb_float_to_fixed30(f);
}
static __tb_inline__ tb_fixed30_t tb_fixed30_div_float(tb_fixed30_t x, tb_fixed30_t y)
{
tb_assert(y);
return tb_float_to_fixed30((tb_float_t)x / y);
}
static __tb_inline__ tb_fixed30_t tb_fixed30_sqre_float(tb_fixed30_t x)
{
tb_float_t f = tb_fixed30_to_float(x);
f *= f;
return tb_float_to_fixed30(f);
}
#endif
static __tb_inline__ tb_fixed30_t tb_fixed30_mul_int32(tb_fixed30_t x, tb_fixed30_t y)
{
// get sign
tb_int32_t s = tb_int32_get_sign(x ^ y);
x = tb_fixed30_abs(x);
y = tb_fixed30_abs(y);
tb_uint32_t xh = x >> 16;
tb_uint32_t xl = x & 0xffff;
tb_uint32_t yh = y >> 16;
tb_uint32_t yl = y & 0xffff;
tb_uint32_t xyh = xh * yh;
tb_uint32_t xyl = xl * yl;
tb_uint32_t xyhl = xh * yl + xl * yh;
tb_uint32_t lo = xyl + (xyhl << 16);
tb_uint32_t hi = xyh + (xyhl >> 16) + (lo < xyl);
// check overflow
tb_assert(!(hi >> 29));
tb_uint32_t r = (hi << 2) + (lo >> 30);
return tb_int32_set_sign(r, s);
}
static __tb_inline__ tb_fixed30_t tb_fixed30_sqre_int32(tb_fixed30_t x)
{
x = tb_fixed30_abs(x);
tb_uint32_t xh = x >> 16;
tb_uint32_t xl = x & 0xffff;
tb_uint32_t xxh = xh * xh;
tb_uint32_t xxl = xl * xl;
tb_uint32_t xxhl = (xh * xl) << 1;
tb_uint32_t lo = xxl + (xxhl << 16);
tb_uint32_t hi = xxh + (xxhl >> 16) + (lo < xxl);
// check overflow
tb_assert(!(hi >> 29));
return ((hi << 2) + (lo >> 30));
}
static __tb_inline__ tb_fixed30_t tb_fixed30_sqrt_int32(tb_fixed30_t x)
{
tb_assert(x > 0);
return (x > 0? (tb_isqrti(x) << 15) : 0);
}
/* //////////////////////////////////////////////////////////////////////////////////////
* extern
*/
__tb_extern_c_leave__
#endif
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