158 lines
8.2 KiB
C
158 lines
8.2 KiB
C
/* Copyright (C) 2007-2009 Xiph.Org Foundation
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Copyright (C) 2003-2008 Jean-Marc Valin
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Copyright (C) 2007-2008 CSIRO */
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/**
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@file fixed_generic.h
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@brief Generic fixed-point operations
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*/
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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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- 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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- Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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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 FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR
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CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#ifndef FIXED_GENERIC_H
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#define FIXED_GENERIC_H
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/** Multiply a 16-bit signed value by a 16-bit unsigned value. The result is a 32-bit signed value */
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#define MULT16_16SU(a,b) ((celt_word32)(celt_word16)(a)*(celt_word32)(celt_uint16)(b))
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/** 16x32 multiplication, followed by a 16-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q16(a,b) ADD32(MULT16_16((a),SHR((b),16)), SHR(MULT16_16SU((a),((b)&0x0000ffff)),16))
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/** 16x32 multiplication, followed by a 15-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q15(a,b) ADD32(SHL(MULT16_16((a),SHR((b),16)),1), SHR(MULT16_16SU((a),((b)&0x0000ffff)),15))
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/** 32x32 multiplication, followed by a 31-bit shift right. Results fits in 32 bits */
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#define MULT32_32_Q31(a,b) ADD32(ADD32(SHL(MULT16_16(SHR((a),16),SHR((b),16)),1), SHR(MULT16_16SU(SHR((a),16),((b)&0x0000ffff)),15)), SHR(MULT16_16SU(SHR((b),16),((a)&0x0000ffff)),15))
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/** 32x32 multiplication, followed by a 32-bit shift right. Results fits in 32 bits */
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#define MULT32_32_Q32(a,b) ADD32(ADD32(MULT16_16(SHR((a),16),SHR((b),16)), SHR(MULT16_16SU(SHR((a),16),((b)&0x0000ffff)),16)), SHR(MULT16_16SU(SHR((b),16),((a)&0x0000ffff)),16))
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/** Compile-time conversion of float constant to 16-bit value */
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#define QCONST16(x,bits) ((celt_word16)(.5+(x)*(((celt_word32)1)<<(bits))))
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/** Compile-time conversion of float constant to 32-bit value */
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#define QCONST32(x,bits) ((celt_word32)(.5+(x)*(((celt_word32)1)<<(bits))))
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/** Negate a 16-bit value */
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#define NEG16(x) (-(x))
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/** Negate a 32-bit value */
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#define NEG32(x) (-(x))
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/** Change a 32-bit value into a 16-bit value. The value is assumed to fit in 16-bit, otherwise the result is undefined */
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#define EXTRACT16(x) ((celt_word16)(x))
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/** Change a 16-bit value into a 32-bit value */
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#define EXTEND32(x) ((celt_word32)(x))
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/** Arithmetic shift-right of a 16-bit value */
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#define SHR16(a,shift) ((a) >> (shift))
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/** Arithmetic shift-left of a 16-bit value */
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#define SHL16(a,shift) ((a) << (shift))
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/** Arithmetic shift-right of a 32-bit value */
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#define SHR32(a,shift) ((a) >> (shift))
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/** Arithmetic shift-left of a 32-bit value */
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#define SHL32(a,shift) ((celt_word32)(a) << (shift))
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/** 16-bit arithmetic shift right with rounding-to-nearest instead of rounding down */
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#define PSHR16(a,shift) (SHR16((a)+((1<<((shift))>>1)),shift))
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/** 32-bit arithmetic shift right with rounding-to-nearest instead of rounding down */
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#define PSHR32(a,shift) (SHR32((a)+((EXTEND32(1)<<((shift))>>1)),shift))
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/** 32-bit arithmetic shift right where the argument can be negative */
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#define VSHR32(a, shift) (((shift)>0) ? SHR32(a, shift) : SHL32(a, -(shift)))
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/** Saturates 16-bit value to +/- a */
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#define SATURATE16(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))
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/** Saturates 32-bit value to +/- a */
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#define SATURATE32(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))
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/** "RAW" macros, should not be used outside of this header file */
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#define SHR(a,shift) ((a) >> (shift))
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#define SHL(a,shift) ((celt_word32)(a) << (shift))
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#define PSHR(a,shift) (SHR((a)+((EXTEND32(1)<<((shift))>>1)),shift))
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#define SATURATE(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))
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/** Shift by a and round-to-neareast 32-bit value. Result is a 16-bit value */
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#define ROUND16(x,a) (EXTRACT16(PSHR32((x),(a))))
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/** Divide by two */
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#define HALF32(x) (SHR32(x,1))
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/** Add two 16-bit values */
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#define ADD16(a,b) ((celt_word16)((celt_word16)(a)+(celt_word16)(b)))
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/** Subtract two 16-bit values */
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#define SUB16(a,b) ((celt_word16)(a)-(celt_word16)(b))
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/** Add two 32-bit values */
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#define ADD32(a,b) ((celt_word32)(a)+(celt_word32)(b))
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/** Subtract two 32-bit values */
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#define SUB32(a,b) ((celt_word32)(a)-(celt_word32)(b))
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/** 16x16 multiplication where the result fits in 16 bits */
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#define MULT16_16_16(a,b) ((((celt_word16)(a))*((celt_word16)(b))))
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/* (celt_word32)(celt_word16) gives TI compiler a hint that it's 16x16->32 multiply */
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/** 16x16 multiplication where the result fits in 32 bits */
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#define MULT16_16(a,b) (((celt_word32)(celt_word16)(a))*((celt_word32)(celt_word16)(b)))
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/** 16x16 multiply-add where the result fits in 32 bits */
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#define MAC16_16(c,a,b) (ADD32((c),MULT16_16((a),(b))))
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/** 16x32 multiplication, followed by a 12-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q12(a,b) ADD32(MULT16_16((a),SHR((b),12)), SHR(MULT16_16((a),((b)&0x00000fff)),12))
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/** 16x32 multiplication, followed by a 13-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q13(a,b) ADD32(MULT16_16((a),SHR((b),13)), SHR(MULT16_16((a),((b)&0x00001fff)),13))
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/** 16x32 multiplication, followed by a 14-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q14(a,b) ADD32(MULT16_16((a),SHR((b),14)), SHR(MULT16_16((a),((b)&0x00003fff)),14))
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/** 16x32 multiplication, followed by an 11-bit shift right. Results fits in 32 bits */
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#define MULT16_32_Q11(a,b) ADD32(MULT16_16((a),SHR((b),11)), SHR(MULT16_16((a),((b)&0x000007ff)),11))
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/** 16x32 multiply-add, followed by an 11-bit shift right. Results fits in 32 bits */
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#define MAC16_32_Q11(c,a,b) ADD32(c,ADD32(MULT16_16((a),SHR((b),11)), SHR(MULT16_16((a),((b)&0x000007ff)),11)))
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/** 16x32 multiplication, followed by a 15-bit shift right (round-to-nearest). Results fits in 32 bits */
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#define MULT16_32_P15(a,b) ADD32(MULT16_16((a),SHR((b),15)), PSHR(MULT16_16((a),((b)&0x00007fff)),15))
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/** 16x32 multiply-add, followed by a 15-bit shift right. Results fits in 32 bits */
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#define MAC16_32_Q15(c,a,b) ADD32(c,ADD32(MULT16_16((a),SHR((b),15)), SHR(MULT16_16((a),((b)&0x00007fff)),15)))
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#define MAC16_16_Q11(c,a,b) (ADD32((c),SHR(MULT16_16((a),(b)),11)))
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#define MAC16_16_Q13(c,a,b) (ADD32((c),SHR(MULT16_16((a),(b)),13)))
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#define MAC16_16_P13(c,a,b) (ADD32((c),SHR(ADD32(4096,MULT16_16((a),(b))),13)))
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#define MULT16_16_Q11_32(a,b) (SHR(MULT16_16((a),(b)),11))
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#define MULT16_16_Q13(a,b) (SHR(MULT16_16((a),(b)),13))
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#define MULT16_16_Q14(a,b) (SHR(MULT16_16((a),(b)),14))
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#define MULT16_16_Q15(a,b) (SHR(MULT16_16((a),(b)),15))
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#define MULT16_16_P13(a,b) (SHR(ADD32(4096,MULT16_16((a),(b))),13))
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#define MULT16_16_P14(a,b) (SHR(ADD32(8192,MULT16_16((a),(b))),14))
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#define MULT16_16_P15(a,b) (SHR(ADD32(16384,MULT16_16((a),(b))),15))
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/** Divide a 32-bit value by a 16-bit value. Result fits in 16 bits */
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#define DIV32_16(a,b) ((celt_word16)(((celt_word32)(a))/((celt_word16)(b))))
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/** Divide a 32-bit value by a 16-bit value and round to nearest. Result fits in 16 bits */
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#define PDIV32_16(a,b) ((celt_word16)(((celt_word32)(a)+((celt_word16)(b)>>1))/((celt_word16)(b))))
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/** Divide a 32-bit value by a 32-bit value. Result fits in 32 bits */
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#define DIV32(a,b) (((celt_word32)(a))/((celt_word32)(b)))
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/** Divide a 32-bit value by a 32-bit value and round to nearest. Result fits in 32 bits */
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#define PDIV32(a,b) (((celt_word32)(a)+((celt_word16)(b)>>1))/((celt_word32)(b)))
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#endif
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