1885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/* Copyright (C) 2007-2009 Xiph.Org Foundation
2885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   Copyright (C) 2003-2008 Jean-Marc Valin
3885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   Copyright (C) 2007-2008 CSIRO */
4885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/**
5885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   @file fixed_generic.h
6885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   @brief Generic fixed-point operations
7885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org*/
8885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/*
9885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   Redistribution and use in source and binary forms, with or without
10885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   modification, are permitted provided that the following conditions
11885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   are met:
12885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
13885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   - Redistributions of source code must retain the above copyright
14885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   notice, this list of conditions and the following disclaimer.
15885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
16885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   - Redistributions in binary form must reproduce the above copyright
17885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   notice, this list of conditions and the following disclaimer in the
18885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   documentation and/or other materials provided with the distribution.
19885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
20885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
21885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
22885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
23885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
24885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
25885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
26885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
27885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
28885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
29885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
30885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
31885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org*/
32885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
33885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#ifndef FIXED_GENERIC_H
34885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define FIXED_GENERIC_H
35885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
36885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Multiply a 16-bit signed value by a 16-bit unsigned value. The result is a 32-bit signed value */
37885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16SU(a,b) ((opus_val32)(opus_val16)(a)*(opus_val32)(opus_uint16)(b))
38885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
39885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x32 multiplication, followed by a 16-bit shift right. Results fits in 32 bits */
40885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_32_Q16(a,b) ADD32(MULT16_16((a),SHR((b),16)), SHR(MULT16_16SU((a),((b)&0x0000ffff)),16))
41885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
42885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x32 multiplication, followed by a 16-bit shift right (round-to-nearest). Results fits in 32 bits */
43885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_32_P16(a,b) ADD32(MULT16_16((a),SHR((b),16)), PSHR(MULT16_16((a),((b)&0x0000ffff)),16))
44885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
45885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x32 multiplication, followed by a 15-bit shift right. Results fits in 32 bits */
46885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_32_Q15(a,b) ADD32(SHL(MULT16_16((a),SHR((b),16)),1), SHR(MULT16_16SU((a),((b)&0x0000ffff)),15))
47885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
48885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 32x32 multiplication, followed by a 31-bit shift right. Results fits in 32 bits */
49885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#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))
50885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
51885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Compile-time conversion of float constant to 16-bit value */
52885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define QCONST16(x,bits) ((opus_val16)(.5+(x)*(((opus_val32)1)<<(bits))))
53885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
54885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Compile-time conversion of float constant to 32-bit value */
55885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define QCONST32(x,bits) ((opus_val32)(.5+(x)*(((opus_val32)1)<<(bits))))
56885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
57885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Negate a 16-bit value */
58885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define NEG16(x) (-(x))
59885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Negate a 32-bit value */
60885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define NEG32(x) (-(x))
61885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
62885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Change a 32-bit value into a 16-bit value. The value is assumed to fit in 16-bit, otherwise the result is undefined */
63885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define EXTRACT16(x) ((opus_val16)(x))
64885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Change a 16-bit value into a 32-bit value */
65885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define EXTEND32(x) ((opus_val32)(x))
66885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
67885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Arithmetic shift-right of a 16-bit value */
68885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHR16(a,shift) ((a) >> (shift))
69885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Arithmetic shift-left of a 16-bit value */
70885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHL16(a,shift) ((opus_int16)((opus_uint16)(a)<<(shift)))
71885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Arithmetic shift-right of a 32-bit value */
72885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHR32(a,shift) ((a) >> (shift))
73885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Arithmetic shift-left of a 32-bit value */
74885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHL32(a,shift) ((opus_int32)((opus_uint32)(a)<<(shift)))
75885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
76885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 32-bit arithmetic shift right with rounding-to-nearest instead of rounding down */
77885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define PSHR32(a,shift) (SHR32((a)+((EXTEND32(1)<<((shift))>>1)),shift))
78885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 32-bit arithmetic shift right where the argument can be negative */
79885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define VSHR32(a, shift) (((shift)>0) ? SHR32(a, shift) : SHL32(a, -(shift)))
80885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
81885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** "RAW" macros, should not be used outside of this header file */
82885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHR(a,shift) ((a) >> (shift))
83885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SHL(a,shift) SHL32(a,shift)
84885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define PSHR(a,shift) (SHR((a)+((EXTEND32(1)<<((shift))>>1)),shift))
85885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SATURATE(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))
86885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
87e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org#define SATURATE16(x) (EXTRACT16((x)>32767 ? 32767 : (x)<-32768 ? -32768 : (x)))
88e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org
89885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Shift by a and round-to-neareast 32-bit value. Result is a 16-bit value */
90885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define ROUND16(x,a) (EXTRACT16(PSHR32((x),(a))))
91885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Divide by two */
92885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define HALF16(x)  (SHR16(x,1))
93885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define HALF32(x)  (SHR32(x,1))
94885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
95885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Add two 16-bit values */
96885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define ADD16(a,b) ((opus_val16)((opus_val16)(a)+(opus_val16)(b)))
97885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Subtract two 16-bit values */
98885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SUB16(a,b) ((opus_val16)(a)-(opus_val16)(b))
99885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Add two 32-bit values */
100885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define ADD32(a,b) ((opus_val32)(a)+(opus_val32)(b))
101885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Subtract two 32-bit values */
102885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define SUB32(a,b) ((opus_val32)(a)-(opus_val32)(b))
103885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
104885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x16 multiplication where the result fits in 16 bits */
105885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_16(a,b)     ((((opus_val16)(a))*((opus_val16)(b))))
106885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
107885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/* (opus_val32)(opus_val16) gives TI compiler a hint that it's 16x16->32 multiply */
108885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x16 multiplication where the result fits in 32 bits */
109885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16(a,b)     (((opus_val32)(opus_val16)(a))*((opus_val32)(opus_val16)(b)))
110885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
111885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** 16x16 multiply-add where the result fits in 32 bits */
112885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MAC16_16(c,a,b) (ADD32((c),MULT16_16((a),(b))))
113e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org/** 16x32 multiply, followed by a 15-bit shift right and 32-bit add.
114e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org    b must fit in 31 bits.
115e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org    Result fits in 32 bits. */
116885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MAC16_32_Q15(c,a,b) ADD32(c,ADD32(MULT16_16((a),SHR((b),15)), SHR(MULT16_16((a),((b)&0x00007fff)),15)))
117885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
118885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_Q11_32(a,b) (SHR(MULT16_16((a),(b)),11))
119e3ea049fcaee2247e45f0ce793d4313babb4ef69tlegrand@chromium.org#define MULT16_16_Q11(a,b) (SHR(MULT16_16((a),(b)),11))
120885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_Q13(a,b) (SHR(MULT16_16((a),(b)),13))
121885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_Q14(a,b) (SHR(MULT16_16((a),(b)),14))
122885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_Q15(a,b) (SHR(MULT16_16((a),(b)),15))
123885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
124885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_P13(a,b) (SHR(ADD32(4096,MULT16_16((a),(b))),13))
125885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_P14(a,b) (SHR(ADD32(8192,MULT16_16((a),(b))),14))
126885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define MULT16_16_P15(a,b) (SHR(ADD32(16384,MULT16_16((a),(b))),15))
127885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
128885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Divide a 32-bit value by a 16-bit value. Result fits in 16 bits */
129885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define DIV32_16(a,b) ((opus_val16)(((opus_val32)(a))/((opus_val16)(b))))
130885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
131885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org/** Divide a 32-bit value by a 32-bit value. Result fits in 32 bits */
132885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#define DIV32(a,b) (((opus_val32)(a))/((opus_val32)(b)))
133885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org
134885f2ff5a7a7d6a73432d26a6c0ae9147e6b452sergeyu@chromium.org#endif
135