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829 cejka 1
/*
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 * Copyright (C) 2005 Josef Cejka
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 * All rights reserved.
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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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 *
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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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 * - The name of the author may not be used to endorse or promote products
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 *   derived from this software without specific prior written permission.
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 *
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 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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 */
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#include<sftypes.h>
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#include<common.h>
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874 cejka 32
/* Table for fast leading zeroes counting */
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char zeroTable[256] = {
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	8, 7, 7, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, \
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	3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, \
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	2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, \
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	2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, \
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	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \
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	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \
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	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \
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	1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \
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	0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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};
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829 cejka 54
/** Take fraction shifted by 10 bits to left, round it, normalize it and detect exceptions
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 * @param exp exponent with bias
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 * @param cfrac fraction shifted 10 places left with added hidden bit
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 * @return valied float64
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 */
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float64 finishFloat64(__s32 cexp, __u64 cfrac, char sign)
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{
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	float64 result;
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	result.parts.sign = sign;
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	/* find first nonzero digit and shift result and detect possibly underflow */
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	while ((cexp > 0) && (cfrac) && (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1 ) )))) {
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		cexp--; 
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		cfrac <<= 1;
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			/* TODO: fix underflow */
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	};
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834 cejka 72
	if ((cexp < 0) || ( cexp == 0 && (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1)))))) {
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		/* FIXME: underflow */
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		result.parts.exp = 0;
835 cejka 75
		if ((cexp + FLOAT64_FRACTION_SIZE + 1) < 0) { /* +1 is place for rounding */
834 cejka 76
			result.parts.fraction = 0;
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			return result;
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		}
835 cejka 79
 
834 cejka 80
		while (cexp < 0) {
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			cexp++;
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			cfrac >>= 1;
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		}
835 cejka 84
 
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		cfrac += (0x1 << (64 - FLOAT64_FRACTION_SIZE - 3)); 
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874 cejka 87
		if (!(cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1)))) {
834 cejka 88
 
835 cejka 89
			result.parts.fraction = ((cfrac >>(64 - FLOAT64_FRACTION_SIZE - 2) ) & (~FLOAT64_HIDDEN_BIT_MASK)); 
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			return result;
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		}	
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	} else {
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		cfrac += (0x1 << (64 - FLOAT64_FRACTION_SIZE - 3)); 
834 cejka 94
	}
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	++cexp;
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829 cejka 98
	if (cfrac & (FLOAT64_HIDDEN_BIT_MASK << (64 - FLOAT64_FRACTION_SIZE - 1 ))) {
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		++cexp;
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		cfrac >>= 1;
834 cejka 101
	}	
829 cejka 102
 
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	/* check overflow */
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	if (cexp >= FLOAT64_MAX_EXPONENT ) {
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		/* FIXME: overflow, return infinity */
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		result.parts.exp = FLOAT64_MAX_EXPONENT;
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		result.parts.fraction = 0;
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		return result;
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	}
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834 cejka 111
	result.parts.exp = (__u32)cexp;
829 cejka 112
 
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	result.parts.fraction = ((cfrac >>(64 - FLOAT64_FRACTION_SIZE - 2 ) ) & (~FLOAT64_HIDDEN_BIT_MASK)); 
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	return result;	
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}
834 cejka 117
 
874 cejka 118
/** Counts leading zeroes in 64bit unsigned integer
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 * @param i 
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 */
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int countZeroes64(__u64 i)
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{
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	int j;
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	for (j =0; j < 64; j += 8) {
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		if ( i & (0xFFll << (56 - j))) {
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			return (j + countZeroes8(i >> (56 - j)));
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		}
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	}
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	return 64;
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}
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/** Counts leading zeroes in 32bit unsigned integer
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 * @param i 
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 */
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int countZeroes32(__u32 i)
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{
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	int j;
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	for (j =0; j < 32; j += 8) {
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		if ( i & (0xFF << (24 - j))) {
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			return (j + countZeroes8(i >> (24 - j)));
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		}
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	}
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	return 32;
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}
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/** Counts leading zeroes in byte
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 * @param i 
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 */
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int countZeroes8(__u8 i)
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{
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	return zeroTable[i];
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}
155
 
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/** Round and normalize number expressed by exponent and fraction with first bit (equal to hidden bit) at 30. bit
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 * @param exp exponent 
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 * @param fraction part with hidden bit shifted to 30. bit
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 */
160
void roundFloat32(__s32 *exp, __u32 *fraction)
161
{
162
	/* rounding - if first bit after fraction is set then round up */
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	(*fraction) += (0x1 << 6);
164
 
165
	if ((*fraction) & (FLOAT32_HIDDEN_BIT_MASK << 8)) { 
166
		/* rounding overflow */
167
		++(*exp);
168
		(*fraction) >>= 1;
169
	};
170
 
171
	if (((*exp) >= FLOAT32_MAX_EXPONENT ) || ((*exp) < 0)) {
172
		/* overflow - set infinity as result */
173
		(*exp) = FLOAT32_MAX_EXPONENT;
174
		(*fraction) = 0;
175
		return;
176
	}
177
 
178
	return;
179
}
180
 
181
/** Round and normalize number expressed by exponent and fraction with first bit (equal to hidden bit) at 62. bit
182
 * @param exp exponent 
183
 * @param fraction part with hidden bit shifted to 62. bit
184
 */
185
void roundFloat64(__s32 *exp, __u64 *fraction)
186
{
187
	/* rounding - if first bit after fraction is set then round up */
188
	(*fraction) += (0x1 << 9);
189
 
190
	if ((*fraction) & (FLOAT64_HIDDEN_BIT_MASK << 11)) { 
191
		/* rounding overflow */
192
		++(*exp);
193
		(*fraction) >>= 1;
194
	};
195
 
196
	if (((*exp) >= FLOAT64_MAX_EXPONENT ) || ((*exp) < 0)) {
197
		/* overflow - set infinity as result */
198
		(*exp) = FLOAT64_MAX_EXPONENT;
199
		(*fraction) = 0;
200
		return;
201
	}
202
 
203
	return;
204
}
205