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81 lines
2.4 KiB
81 lines
2.4 KiB
#ifndef __MATH16_H__
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#define __MATH16_H__
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#ifdef __cplusplus
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extern "C" {
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#endif
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// Type for fixed point 16.16 numbers. I used LONG as the base type because it is the only
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// type I could find guarantied to stay a 32 bit signed number, even when we convert to
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// 64 bit machines.
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typedef LONG FIXED16_16;
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// Constants for dealing with shifting the bits around in the 16.16 format.
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#define SHFTBITS 16
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#define LOWMASK ((1 << SHFTBITS)-1)
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#define HGHMASK (~LOWMASK)
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#define LOWBITS(x) ((x) & LOWMASK)
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#define HGHBITS(x) ((x) & HGHMASK)
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#define LSHFT(x) ((x) << SHFTBITS)
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#define RSHFT(x) ((x) >> SHFTBITS)
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// Useful constants in 16.16 form
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#define PI (3373259427 >> (30-SHFTBITS))
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#define TWOPI (PI << 1)
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#define PIOVER2 (PI >> 1)
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#define ONE_POINT_ZERO 0x00010000 // (1 << SHFTBITS), but prefast complains when cast to double
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// How many bits needed to store a number.
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#define Need(dw) (dw & 0xFF000000 ? 32 : (dw & 0x00FF0000 ? 24 : (dw & 0x0000FF00 ? 16 : 8)))
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// Convert number to 16.16 form.
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#define IntToFix16(val) (((FIXED16_16)(val)) << SHFTBITS)
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#define FloatToFix16(val) ((FIXED16_16)((val) * (double)ONE_POINT_ZERO))
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// Convert 16.16 form to a number.
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#define Fix16ToInt(val) RSHFT(val)
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#define Fix16ToFloat(val) ((val) / (double)ONE_POINT_ZERO)
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// Convert other fixed point forms to a double.
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// If the value of N (number of fractional bits) is a constant, this is much faster then shifting
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// and using Fix16ToFloat. If N is a variable, the 64 bit shift is very expensive.
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#define FixNToFloat(val, n) ((val) / (double)((_int64)1 << n))
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// Compute a sigmoid on a 16.16 number.
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FIXED16_16 Sigmoid16(FIXED16_16 iX);
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// Add two 16.16 numbers. We just do the macro for clearity and documentation, because
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// add just works.
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#define Add16(iX, iY) (iX + iY)
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// The same for subtraction.
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#define Sub16(iX, iY) (iX - iY)
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// Dived two 16.16 numbers.
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FIXED16_16 Div16(FIXED16_16 iX, FIXED16_16 iY);
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// Multiply two 16.16 numbers. This uses Greg's multiplication algorithm:
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typedef struct {
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unsigned short frac;
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short whole;
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} FIX1616, *PFIX1616;
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#define Mul16(a,b,c) { \
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FIXED16_16 i1, i2; \
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FIX1616 fix1, fix2; \
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i1=(a); \
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i2=(b); \
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fix1 = *(PFIX1616)&i1; \
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fix2 = *(PFIX1616)&i2; \
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c = (DWORD)(fix1.frac*fix2.frac) >> 16; \
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c += fix1.frac*fix2.whole + fix1.whole*fix2.frac; \
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c += (fix1.whole*fix2.whole) << 16; \
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}
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#ifdef __cplusplus
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}
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#endif
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#endif // __MATH16_H__
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