/* Copyright (C) 2003-2008 Jean-Marc Valin, CSIRO */

/**

   @file fixed_generic.h

   @brief Generic fixed-point operations

*/

/*

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   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS

   ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT

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*/

#ifndef FIXED_GENERIC_H

#define FIXED_GENERIC_H

/** Multiply a 16-bit signed value by a 16-bit unsigned value. The result is a 32-bit signed value */

#define MULT16_16SU(a,b) ((celt_word32_t)(celt_word16_t)(a)*(celt_word32_t)(celt_uint16_t)(b))

/** 16x32 multiplication, followed by a 16-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q16(a,b) ADD32(MULT16_16((a),SHR((b),16)), SHR(MULT16_16SU((a),((b)&0x0000ffff)),16))

/** 16x32 multiplication, followed by a 15-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q15(a,b) ADD32(SHL(MULT16_16((a),SHR((b),16)),1), SHR(MULT16_16SU((a),((b)&0x0000ffff)),15))

/** 32x32 multiplication, followed by a 31-bit shift right. Results fits in 32 bits */

#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))

/** 32x32 multiplication, followed by a 32-bit shift right. Results fits in 32 bits */

#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))

/** Compile-time conversion of float constant to 16-bit value */

#define QCONST16(x,bits) ((celt_word16_t)(.5+(x)*(((celt_word32_t)1)<<(bits))))

/** Compile-time conversion of float constant to 32-bit value */

#define QCONST32(x,bits) ((celt_word32_t)(.5+(x)*(((celt_word32_t)1)<<(bits))))

/** Negate a 16-bit value */

#define NEG16(x) (-(x))

/** Negate a 32-bit value */

#define NEG32(x) (-(x))

/** Change a 32-bit value into a 16-bit value. The value is assumed to fit in 16-bit, otherwise the result is undefined */

#define EXTRACT16(x) ((celt_word16_t)(x))

/** Change a 16-bit value into a 32-bit value */

#define EXTEND32(x) ((celt_word32_t)(x))

/** Arithmetic shift-right of a 16-bit value */

#define SHR16(a,shift) ((a) >> (shift))

/** Arithmetic shift-left of a 16-bit value */

#define SHL16(a,shift) ((a) << (shift))

/** Arithmetic shift-right of a 32-bit value */

#define SHR32(a,shift) ((a) >> (shift))

/** Arithmetic shift-left of a 32-bit value */

#define SHL32(a,shift) ((celt_word32_t)(a) << (shift))

/** 16-bit arithmetic shift right with rounding-to-nearest instead of rounding down */

#define PSHR16(a,shift) (SHR16((a)+((1<<((shift))>>1)),shift))

/** 32-bit arithmetic shift right with rounding-to-nearest instead of rounding down */

#define PSHR32(a,shift) (SHR32((a)+((EXTEND32(1)<<((shift))>>1)),shift))

/** 32-bit arithmetic shift right where the argument can be negative */

#define VSHR32(a, shift) (((shift)>0) ? SHR32(a, shift) : SHL32(a, -(shift)))

/** Saturates 16-bit value to +/- a */

#define SATURATE16(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))

/** Saturates 32-bit value to +/- a */

#define SATURATE32(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))

/** "RAW" macros, should not be used outside of this header file */

#define SHR(a,shift) ((a) >> (shift))

#define SHL(a,shift) ((celt_word32_t)(a) << (shift))

#define PSHR(a,shift) (SHR((a)+((EXTEND32(1)<<((shift))>>1)),shift))

#define SATURATE(x,a) (((x)>(a) ? (a) : (x)<-(a) ? -(a) : (x)))

/** Shift by a and round-to-neareast 32-bit value. Result is a 16-bit value */

#define ROUND16(x,a) (EXTRACT16(PSHR32((x),(a))))

/** Divide by two */

#define HALF32(x)  (SHR32(x,1))

/** Add two 16-bit values */

#define ADD16(a,b) ((celt_word16_t)((celt_word16_t)(a)+(celt_word16_t)(b)))

/** Subtract two 16-bit values */

#define SUB16(a,b) ((celt_word16_t)(a)-(celt_word16_t)(b))

/** Add two 32-bit values */

#define ADD32(a,b) ((celt_word32_t)(a)+(celt_word32_t)(b))

/** Subtract two 32-bit values */

#define SUB32(a,b) ((celt_word32_t)(a)-(celt_word32_t)(b))

/** 16x16 multiplication where the result fits in 16 bits */

#define MULT16_16_16(a,b)     ((((celt_word16_t)(a))*((celt_word16_t)(b))))

/* (celt_word32_t)(celt_word16_t) gives TI compiler a hint that it's 16x16->32 multiply */

/** 16x16 multiplication where the result fits in 32 bits */

#define MULT16_16(a,b)     (((celt_word32_t)(celt_word16_t)(a))*((celt_word32_t)(celt_word16_t)(b)))

/** 16x16 multiply-add where the result fits in 32 bits */

#define MAC16_16(c,a,b) (ADD32((c),MULT16_16((a),(b))))

/** 16x32 multiplication, followed by a 12-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q12(a,b) ADD32(MULT16_16((a),SHR((b),12)), SHR(MULT16_16((a),((b)&0x00000fff)),12))

/** 16x32 multiplication, followed by a 13-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q13(a,b) ADD32(MULT16_16((a),SHR((b),13)), SHR(MULT16_16((a),((b)&0x00001fff)),13))

/** 16x32 multiplication, followed by a 14-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q14(a,b) ADD32(MULT16_16((a),SHR((b),14)), SHR(MULT16_16((a),((b)&0x00003fff)),14))

/** 16x32 multiplication, followed by an 11-bit shift right. Results fits in 32 bits */

#define MULT16_32_Q11(a,b) ADD32(MULT16_16((a),SHR((b),11)), SHR(MULT16_16((a),((b)&0x000007ff)),11))

/** 16x32 multiply-add, followed by an 11-bit shift right. Results fits in 32 bits */

#define MAC16_32_Q11(c,a,b) ADD32(c,ADD32(MULT16_16((a),SHR((b),11)), SHR(MULT16_16((a),((b)&0x000007ff)),11)))

/** 16x32 multiplication, followed by a 15-bit shift right (round-to-nearest). Results fits in 32 bits */

#define MULT16_32_P15(a,b) ADD32(MULT16_16((a),SHR((b),15)), PSHR(MULT16_16((a),((b)&0x00007fff)),15))

/** 16x32 multiply-add, followed by a 15-bit shift right. Results fits in 32 bits */

#define MAC16_32_Q15(c,a,b) ADD32(c,ADD32(MULT16_16((a),SHR((b),15)), SHR(MULT16_16((a),((b)&0x00007fff)),15)))

#define MAC16_16_Q11(c,a,b)     (ADD32((c),SHR(MULT16_16((a),(b)),11)))

#define MAC16_16_Q13(c,a,b)     (ADD32((c),SHR(MULT16_16((a),(b)),13)))

#define MAC16_16_P13(c,a,b)     (ADD32((c),SHR(ADD32(4096,MULT16_16((a),(b))),13)))

#define MULT16_16_Q11_32(a,b) (SHR(MULT16_16((a),(b)),11))

#define MULT16_16_Q13(a,b) (SHR(MULT16_16((a),(b)),13))

#define MULT16_16_Q14(a,b) (SHR(MULT16_16((a),(b)),14))

#define MULT16_16_Q15(a,b) (SHR(MULT16_16((a),(b)),15))

#define MULT16_16_P13(a,b) (SHR(ADD32(4096,MULT16_16((a),(b))),13))

#define MULT16_16_P14(a,b) (SHR(ADD32(8192,MULT16_16((a),(b))),14))

#define MULT16_16_P15(a,b) (SHR(ADD32(16384,MULT16_16((a),(b))),15))

/** Divide a 32-bit value by a 16-bit value. Result fits in 16 bits */

#define DIV32_16(a,b) ((celt_word16_t)(((celt_word32_t)(a))/((celt_word16_t)(b))))

/** Divide a 32-bit value by a 16-bit value and round to nearest. Result fits in 16 bits */

#define PDIV32_16(a,b) ((celt_word16_t)(((celt_word32_t)(a)+((celt_word16_t)(b)>>1))/((celt_word16_t)(b))))

/** Divide a 32-bit value by a 32-bit value. Result fits in 32 bits */

#define DIV32(a,b) (((celt_word32_t)(a))/((celt_word32_t)(b)))

/** Divide a 32-bit value by a 32-bit value and round to nearest. Result fits in 32 bits */

#define PDIV32(a,b) (((celt_word32_t)(a)+((celt_word16_t)(b)>>1))/((celt_word32_t)(b)))

#endif