280 lines
12 KiB
C
280 lines
12 KiB
C
/****************************************************************************
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* include/fixedmath.h
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*
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* Copyright (C) 2008, 2017 Gregory Nutt. All rights reserved.
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* Author: Gregory Nutt <gnutt@nuttx.org>
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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* 3. Neither the name NuttX nor the names of its contributors may be
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* used to endorse or promote products derived from this software
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* without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
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* OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
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* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*
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****************************************************************************/
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#ifndef __INCLUDE_FIXEDMATH_H
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#define __INCLUDE_FIXEDMATH_H
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/****************************************************************************
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* Included Files
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****************************************************************************/
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#include <nuttx/compiler.h>
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#include <stdint.h>
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/****************************************************************************
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* Pre-processor Definitions
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****************************************************************************/
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/* Common numbers */
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#define b8HUNDRED 0x6400 /* 100 */
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#define b8TEN 0x0a00 /* 10 */
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#define b8ONE 0x0100 /* 1 */
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#define b8HALF 0x0080 /* 0.5 */
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#define b8ONETENTH 0x001a /* 0.1 (actually 0.1015625) */
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#define b8ONEHUNDRTH 0x0003 /* 0.01 (actually 0.0117198765) */
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#define b8HALFPI 0x0192 /* 1.5703125 */
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#define b8PI 0x0324 /* 3.1406250 */
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#define b8TWOPI 0x0648 /* 6.2812500 */
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#define b8MAX 0x7fff /* Max value of b8_t */
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#define ub8MAX 0xffff /* Max value of rb8_t */
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#define b8MIN 0x8000 /* Min value of b8_t */
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#define ub8MIN 0x0000 /* Min value of ub8_t */
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#define b16THOUSAND 0x03e80000 /* 1000 */
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#define b16HUNDRED 0x00640000 /* 100 */
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#define b16TEN 0x000a0000 /* 10 */
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#define b16ONE 0x00010000 /* 1 */
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#define b16HALF 0x00008000 /* 0.5 */
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#define b16ONETENTH 0x0000199a /* 0.1 (actually 0.100006..) */
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#define b16ONEHUNDRTH 0x0000028f /* 0.01 (actually 0.0099945..) */
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#define b16ONETHOUSTH 0x00000042 /* 0.001 (actually 0.000100708..)*/
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#define b16HALFPI 0x0001921f /* 1.57078552246 */
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#define b16PI 0x0003243f /* 3.14158630371 */
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#define b16TWOPI 0x0006487b /* 6.28312683105 */
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#define b16MAX 0x7fffffff /* Max value of b16_t */
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#define ub16MAX 0xffffffff /* Max value of ub16_t */
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#define b16MIN 0x80000000 /* Min value of b16_t */
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#define ub16MIN 0x00000000 /* Min value of ub16_t */
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#define b32MILLION 0x000f424000000000LL /* 1000000 */
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#define b32THOUSAND 0x000003e800000000LL /* 1000 */
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#define b32HUNDRED 0x0000006400000000LL /* 100 */
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#define b32TEN 0x0000000a00000000LL /* 10 */
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#define b32ONE 0x0000000100000000LL /* 1 */
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#define b32HALF 0x0000000080000000LL /* 0.5 */
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#define b32ONETENTH 0x000000001999999aLL /* 0.1 */
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#define b32ONEHUNDRTH 0x00000000028f5c29LL /* 0.01 */
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#define b32ONETHOUSTH 0x0000000000418937LL /* 0.001 */
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#define b32ONETENTHOU 0x0000000000068db9LL /* 0.0001 */
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#define b32HALFPI 0x00000001921eb9ffLL /* 1.57078134990 */
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#define b32PI 0x00000003243f6b4fLL /* 3.14159269980 */
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#define b32TWOPI 0x00000006487ae7fdLL /* 6.28312539984 */
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#define b32MAX 0x7fffffffffffffffLL /* Max value of b16_t */
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#define ub32MAX 0xffffffffffffffffLL /* Max value of ub16_t */
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#define b32MIN 0x8000000000000000LL /* Min value of b16_t */
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#define ub32MIN 0x0000000000000000LL /* Min value of ub16_t */
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/* Conversions between b32, b16, and b8 ***********************************/
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#define b8tob16(b) (((b16_t)(b)) << 8)
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#define ub8toub16(b) (((ub16_t)(b)) << 8)
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#define b16tob8(b) (b8_t)(((b)+0x0080)>>8)
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#define ub16toub8(b) (ub8_t)(((b)+0x0080)>>8)
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#ifdef CONFIG_HAVE_LONG_LONG
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# define b8tob32(b) (((b32_t)(b)) << 24)
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# define ub8toub32(b) (((ub32_t)(b)) << 24)
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# define b16tob32(b) (((b32_t)(b)) << 16)
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# define ub16toub32(b) (((ub32_t)(b)) << 16)
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# define b32tob16(b) (b16_t)(((b) + 0x0000000000008000)>>16)
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# define ub32toub16(b) (ub16_t)(((b) + 0x0000000000008000)>>16)
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# define b32tob8(b) (b8_t)(((b) + 0x0000000000000080)>>8)
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#endif
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/* 16-bit values with 8 bits of precision *********************************/
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/* Conversions */
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#define b8toi(a) ((a) >> 8) /* Conversion to integer */
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#define ub8toi(a) ((a) >> 8) /* Conversion to unsigned integer */
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#define itob8(i) (((b8_t)(i)) << 8) /* Conversion from integer */
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#define uitoub8(i) (((ub8_t)(i)) << 8) /* Conversion from unsigned integer */
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#define b8tof(b) (((float)(b))/256.0f) /* Conversion to float */
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#define ftob8(f) (b8_t)(((f)*256.0f)) /* Conversion from float */
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#define b8trunc(a) ((a) & 0xff00) /* Truncate to integer b8 */
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#define b8round(a) (((a)+0x0080) & 0xff00) /* Round to integer b8 */
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#define b8frac(a) ((a) & 0x00ff) /* Take fractional part */
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/* Operators */
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#define ub8inv(b) (0x8000/((b)>>1)) /* Inversion (b8=b15/b7) */
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#define b8inv(b) (0x4000/((b)>>2)) /* Inversion (b8=b14/b6) */
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#define b8addb8(a,b) ((a)+(b)) /* Addition */
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#define b8addi(a,i) ((a)+itob8(i)) /* Add integer from b16 */
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#define b8subb8(a,b) ((a)-(b)) /* Subtraction */
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#define b8subi(a,i) ((a)-itob8(i)) /* Subtract integer from b8 */
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#define b8mulb8(a,b) (b16tob8((b16_t)(a)*(b16_t)(b)) /* Muliplication */
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#define ub8mulub8(a,b) (ub16toub8((ub16_t)(a)*(ub16_t)(b)) /* Muliplication */
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#define b8muli(a,i) ((a)*(i)) /* Simple multiplication by integer */
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#define b8sqr(a) b8mulb8(a,a) /* Square */
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#define ub8sqr(a) ub8mulub8(a,a) /* Square */
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#define b8divb8(a,b) (b8tob16(a)/(b16_t)(b)) /* Division */
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#define ub8divub8(a,b) (ub8toub16(a)/(ub16_t)(b)) /* Division */
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#define b8divi(a,i) ((a)/(i)) /* Simple division by integer */
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#define b8idiv(i,j) (((i)<<8)/j) /* Division of integer, b8 result */
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/* 32-bit values with 16 bits of precision ********************************/
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/* Conversions */
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#define b16toi(a) ((a) >> 16) /* Conversion to integer */
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#define ub16toi(a) ((a) >> 16) /* Conversion to unsgined integer */
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#define itob16(i) (((b16_t)(i)) << 16) /* Conversion from integer */
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#define uitoub16(i) (((ub16_t)(i)) << 16) /* Conversion from unsigned integer */
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#define b16tof(b) (((float)(b))/65536.0f) /* Conversion to float */
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#define ftob16(f) (b16_t)(((f)*65536.0f)) /* Conversion from float */
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#define b16tod(b) (((double)(b))/65536.0) /* Conversion to double */
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#define dtob16(f) (b16_t)(((f)*65536.0)) /* Conversion from double */
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#define b16trunc(a) ((a) & 0xffff0000) /* Truncate to integer */
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#define b16round(a) (((a)+0x00008000) & 0xffff0000)
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#define b16frac(a) ((a) & 0x0000ffff) /* Take fractional part */
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/* Operators */
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#define ub16inv(b) (0x80000000/((b)>>1)) /* Inversion (b16=b31/b15) */
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#define b16inv(b) (0x40000000/((b)>>2)) /* Inversion (b16=b30/b14) */
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#define b16addb16(a,b) ((a)+(b)) /* Addition */
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#define b16addi(a,i) ((a)+itob16(i)) /* Add integer to b16 */
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#define b16subb16(a,b) ((a)-(b)) /* Subtraction */
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#define b16subi(a,i) ((a)-itob16(i)) /* Subtract integer from b16 */
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#define b16muli(a,i) ((a)*(i)) /* Simple multiplication by integer */
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#define b16divi(a,i) ((a)/(i)) /* Simple division by integer*/
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#define b16idiv(i,j) (((i)<<16)/j) /* Division of integer, b16 result */
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#ifdef CONFIG_HAVE_LONG_LONG
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/* Multiplication operators */
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# define b16mulb16(a,b) b32tob16((b32_t)(a)*(b32_t)(b))
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# define ub16mulub16(a,b) ub32toub16((ub32_t)(a)*(ub32_t)(b))
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/* Square operators */
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# define b16sqr(a) b16mulb16(a,a)
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# define ub16sqr(a) ub16mulub16(a,a)
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/* Division operators */
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# define b16divb16(a,b) (b16_t)(b16tob32(a)/(b32_t)(b))
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# define ub16divub16(a,b) (ub16_t)(ub16toub32(a)/(ub32_t)(b))
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/* Square root operators */
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# define ub16sqrtub16(a) ub32sqrtub16(ub16toub32(a))
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#else
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# define ub16sqrtub16(a) ub8toub16(ub16sqrtub8(a))
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#endif
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/* 64-bit values with 32 bits of precision ********************************/
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#ifdef CONFIG_HAVE_LONG_LONG
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/* Conversions */
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#define b32toi(a) ((a) >> 32) /* Conversion to integer */
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#define itob32(i) (((b32_t)(i)) << 32) /* Conversion from integer */
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#define uitoub32(i) (((ub32_t)(i)) << 32) /* Conversion from unsigned integer */
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#define b32tod(b) (((double)(b))/b32ONE) /* Conversion to double */
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#define dtob32(f) (b32_t)(((f)*(double)b32ONE)) /* Conversion from double */
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#define b32trunc(a) ((a) & 0xffffffff00000000) /* Truncate to integer */
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#define b32round(a) (((a)+0x0000000080000000) & 0xffffffff00000000)
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#define b32frac(a) ((a) & 0x00000000ffffffff) /* Take fractional part */
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#endif
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/****************************************************************************
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* Public Types
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****************************************************************************/
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typedef int16_t b8_t;
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typedef uint16_t ub8_t;
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typedef int32_t b16_t;
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typedef uint32_t ub16_t;
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#ifdef CONFIG_HAVE_LONG_LONG
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typedef int64_t b32_t;
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typedef uint64_t ub32_t;
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#endif
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/****************************************************************************
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* Public Functions
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****************************************************************************/
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#undef EXTERN
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#if defined(__cplusplus)
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#define EXTERN extern "C"
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extern "C"
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{
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#else
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#define EXTERN extern
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#endif
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#ifndef CONFIG_HAVE_LONG_LONG
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/* Multiplication operators */
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b16_t b16mulb16(b16_t m1, b16_t m2);
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ub16_t ub16mulub16(ub16_t m1, ub16_t m2);
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/* Square operators */
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b16_t b16sqr(b16_t a);
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ub16_t ub16sqr(ub16_t a);
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/* Division operators */
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b16_t b16divb16(b16_t num, b16_t denom);
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ub16_t ub16divub16(ub16_t num, ub16_t denom);
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#endif
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/* Trigonometric Functions */
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b16_t b16sin(b16_t rad);
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b16_t b16cos(b16_t rad);
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b16_t b16atan2(b16_t y, b16_t x);
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/* Square root operators */
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#ifdef CONFIG_HAVE_LONG_LONG
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ub16_t ub32sqrtub16(ub32_t a);
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#endif
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ub8_t ub16sqrtub8(ub16_t a);
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#undef EXTERN
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#if defined(__cplusplus)
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}
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#endif
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#endif /* __INCLUDE_FIXEDMATH_H */
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