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-/* Copyright (C) 2005 Jean-Marc Valin */
-/**
- @file pseudofloat.h
- @brief Pseudo-floating point
- * This header file provides a lightweight floating point type for
- * use on fixed-point platforms when a large dynamic range is
- * required. The new type is not compatible with the 32-bit IEEE format,
- * it is not even remotely as accurate as 32-bit floats, and is not
- * even guaranteed to produce even remotely correct results for code
- * other than Speex. It makes all kinds of shortcuts that are acceptable
- * for Speex, but may not be acceptable for your application. You're
- * quite welcome to reuse this code and improve it, but don't assume
- * it works out of the box. Most likely, it doesn't.
- */
-/*
- Redistribution and use in source and binary forms, with or without
- modification, are permitted provided that the following conditions
- are met:
-
- - Redistributions of source code must retain the above copyright
- notice, this list of conditions and the following disclaimer.
-
- - Redistributions in binary form must reproduce the above copyright
- notice, this list of conditions and the following disclaimer in the
- documentation and/or other materials provided with the distribution.
-
- - Neither the name of the Xiph.org Foundation nor the names of its
- contributors may be used to endorse or promote products derived from
- this software without specific prior written permission.
-
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR
- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-*/
-
-#ifndef PSEUDOFLOAT_H
-#define PSEUDOFLOAT_H
-
-#include "arch.h"
-#include "os_support.h"
-#include "math_approx.h"
-#include <math.h>
-
-#ifdef FIXED_POINT
-
-typedef struct {
- spx_int16_t m;
- spx_int16_t e;
-} spx_float_t;
-
-static const spx_float_t FLOAT_ZERO = {0,0};
-static const spx_float_t FLOAT_ONE = {16384,-14};
-static const spx_float_t FLOAT_HALF = {16384,-15};
-
-#define MIN(a,b) ((a)<(b)?(a):(b))
-static inline spx_float_t PSEUDOFLOAT(spx_int32_t x)
-{
- int e=0;
- int sign=0;
- if (x<0)
- {
- sign = 1;
- x = -x;
- }
- if (x==0)
- {
- spx_float_t r = {0,0};
- return r;
- }
- e = spx_ilog2(ABS32(x))-14;
- x = VSHR32(x, e);
- if (sign)
- {
- spx_float_t r;
- r.m = -x;
- r.e = e;
- return r;
- }
- else
- {
- spx_float_t r;
- r.m = x;
- r.e = e;
- return r;
- }
-}
-
-
-static inline spx_float_t FLOAT_ADD(spx_float_t a, spx_float_t b)
-{
- spx_float_t r;
- if (a.m==0)
- return b;
- else if (b.m==0)
- return a;
- if ((a).e > (b).e)
- {
- r.m = ((a).m>>1) + ((b).m>>MIN(15,(a).e-(b).e+1));
- r.e = (a).e+1;
- }
- else
- {
- r.m = ((b).m>>1) + ((a).m>>MIN(15,(b).e-(a).e+1));
- r.e = (b).e+1;
- }
- if (r.m>0)
- {
- if (r.m<16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- } else {
- if (r.m>-16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- }
- /*printf ("%f + %f = %f\n", REALFLOAT(a), REALFLOAT(b), REALFLOAT(r));*/
- return r;
-}
-
-static inline spx_float_t FLOAT_SUB(spx_float_t a, spx_float_t b)
-{
- spx_float_t r;
- if (a.m==0)
- return b;
- else if (b.m==0)
- return a;
- if ((a).e > (b).e)
- {
- r.m = ((a).m>>1) - ((b).m>>MIN(15,(a).e-(b).e+1));
- r.e = (a).e+1;
- }
- else
- {
- r.m = ((a).m>>MIN(15,(b).e-(a).e+1)) - ((b).m>>1);
- r.e = (b).e+1;
- }
- if (r.m>0)
- {
- if (r.m<16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- } else {
- if (r.m>-16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- }
- /*printf ("%f + %f = %f\n", REALFLOAT(a), REALFLOAT(b), REALFLOAT(r));*/
- return r;
-}
-
-static inline int FLOAT_LT(spx_float_t a, spx_float_t b)
-{
- if (a.m==0)
- return b.m>0;
- else if (b.m==0)
- return a.m<0;
- if ((a).e > (b).e)
- return ((a).m>>1) < ((b).m>>MIN(15,(a).e-(b).e+1));
- else
- return ((b).m>>1) > ((a).m>>MIN(15,(b).e-(a).e+1));
-
-}
-
-static inline int FLOAT_GT(spx_float_t a, spx_float_t b)
-{
- return FLOAT_LT(b,a);
-}
-
-static inline spx_float_t FLOAT_MULT(spx_float_t a, spx_float_t b)
-{
- spx_float_t r;
- r.m = (spx_int16_t)((spx_int32_t)(a).m*(b).m>>15);
- r.e = (a).e+(b).e+15;
- if (r.m>0)
- {
- if (r.m<16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- } else {
- if (r.m>-16384)
- {
- r.m<<=1;
- r.e-=1;
- }
- }
- /*printf ("%f * %f = %f\n", REALFLOAT(a), REALFLOAT(b), REALFLOAT(r));*/
- return r;
-}
-
-static inline spx_float_t FLOAT_AMULT(spx_float_t a, spx_float_t b)
-{
- spx_float_t r;
- r.m = (spx_int16_t)((spx_int32_t)(a).m*(b).m>>15);
- r.e = (a).e+(b).e+15;
- return r;
-}
-
-
-static inline spx_float_t FLOAT_SHL(spx_float_t a, int b)
-{
- spx_float_t r;
- r.m = a.m;
- r.e = a.e+b;
- return r;
-}
-
-static inline spx_int16_t FLOAT_EXTRACT16(spx_float_t a)
-{
- if (a.e<0)
- return EXTRACT16((EXTEND32(a.m)+(EXTEND32(1)<<(-a.e-1)))>>-a.e);
- else
- return a.m<<a.e;
-}
-
-static inline spx_int32_t FLOAT_EXTRACT32(spx_float_t a)
-{
- if (a.e<0)
- return (EXTEND32(a.m)+(EXTEND32(1)<<(-a.e-1)))>>-a.e;
- else
- return EXTEND32(a.m)<<a.e;
-}
-
-static inline spx_int32_t FLOAT_MUL32(spx_float_t a, spx_word32_t b)
-{
- return VSHR32(MULT16_32_Q15(a.m, b),-a.e-15);
-}
-
-static inline spx_float_t FLOAT_MUL32U(spx_word32_t a, spx_word32_t b)
-{
- int e1, e2;
- spx_float_t r;
- if (a==0 || b==0)
- {
- return FLOAT_ZERO;
- }
- e1 = spx_ilog2(ABS32(a));
- a = VSHR32(a, e1-14);
- e2 = spx_ilog2(ABS32(b));
- b = VSHR32(b, e2-14);
- r.m = MULT16_16_Q15(a,b);
- r.e = e1+e2-13;
- return r;
-}
-
-/* Do NOT attempt to divide by a negative number */
-static inline spx_float_t FLOAT_DIV32_FLOAT(spx_word32_t a, spx_float_t b)
-{
- int e=0;
- spx_float_t r;
- if (a==0)
- {
- return FLOAT_ZERO;
- }
- e = spx_ilog2(ABS32(a))-spx_ilog2(b.m-1)-15;
- a = VSHR32(a, e);
- if (ABS32(a)>=SHL32(EXTEND32(b.m-1),15))
- {
- a >>= 1;
- e++;
- }
- r.m = DIV32_16(a,b.m);
- r.e = e-b.e;
- return r;
-}
-
-
-/* Do NOT attempt to divide by a negative number */
-static inline spx_float_t FLOAT_DIV32(spx_word32_t a, spx_word32_t b)
-{
- int e0=0,e=0;
- spx_float_t r;
- if (a==0)
- {
- return FLOAT_ZERO;
- }
- if (b>32767)
- {
- e0 = spx_ilog2(b)-14;
- b = VSHR32(b, e0);
- e0 = -e0;
- }
- e = spx_ilog2(ABS32(a))-spx_ilog2(b-1)-15;
- a = VSHR32(a, e);
- if (ABS32(a)>=SHL32(EXTEND32(b-1),15))
- {
- a >>= 1;
- e++;
- }
- e += e0;
- r.m = DIV32_16(a,b);
- r.e = e;
- return r;
-}
-
-/* Do NOT attempt to divide by a negative number */
-static inline spx_float_t FLOAT_DIVU(spx_float_t a, spx_float_t b)
-{
- int e=0;
- spx_int32_t num;
- spx_float_t r;
- if (b.m<=0)
- {
- speex_warning_int("Attempted to divide by", b.m);
- return FLOAT_ONE;
- }
- num = a.m;
- a.m = ABS16(a.m);
- while (a.m >= b.m)
- {
- e++;
- a.m >>= 1;
- }
- num = num << (15-e);
- r.m = DIV32_16(num,b.m);
- r.e = a.e-b.e-15+e;
- return r;
-}
-
-static inline spx_float_t FLOAT_SQRT(spx_float_t a)
-{
- spx_float_t r;
- spx_int32_t m;
- m = SHL32(EXTEND32(a.m), 14);
- r.e = a.e - 14;
- if (r.e & 1)
- {
- r.e -= 1;
- m <<= 1;
- }
- r.e >>= 1;
- r.m = spx_sqrt(m);
- return r;
-}
-
-#else
-
-#define spx_float_t float
-#define FLOAT_ZERO 0.f
-#define FLOAT_ONE 1.f
-#define FLOAT_HALF 0.5f
-#define PSEUDOFLOAT(x) (x)
-#define FLOAT_MULT(a,b) ((a)*(b))
-#define FLOAT_AMULT(a,b) ((a)*(b))
-#define FLOAT_MUL32(a,b) ((a)*(b))
-#define FLOAT_DIV32(a,b) ((a)/(b))
-#define FLOAT_EXTRACT16(a) (a)
-#define FLOAT_EXTRACT32(a) (a)
-#define FLOAT_ADD(a,b) ((a)+(b))
-#define FLOAT_SUB(a,b) ((a)-(b))
-#define REALFLOAT(x) (x)
-#define FLOAT_DIV32_FLOAT(a,b) ((a)/(b))
-#define FLOAT_MUL32U(a,b) ((a)*(b))
-#define FLOAT_SHL(a,b) (a)
-#define FLOAT_LT(a,b) ((a)<(b))
-#define FLOAT_GT(a,b) ((a)>(b))
-#define FLOAT_DIVU(a,b) ((a)/(b))
-#define FLOAT_SQRT(a) (spx_sqrt(a))
-
-#endif
-
-#endif