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/* ===-- udivmodti4.c - Implement __udivmodti4 -----------------------------=== |
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* |
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* The LLVM Compiler Infrastructure |
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* |
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* This file is dual licensed under the MIT and the University of Illinois Open |
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* Source Licenses. See LICENSE.TXT for details. |
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* |
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* ===----------------------------------------------------------------------=== |
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* |
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* This file implements __udivmodti4 for the compiler_rt library. |
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* |
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* ===----------------------------------------------------------------------=== |
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*/ |
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#include "int_lib.h" |
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#ifdef CRT_HAS_128BIT |
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/* Effects: if rem != 0, *rem = a % b |
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* Returns: a / b |
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*/ |
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/* Translated from Figure 3-40 of The PowerPC Compiler Writer's Guide */ |
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COMPILER_RT_ABI tu_int |
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__udivmodti4(tu_int a, tu_int b, tu_int* rem) |
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{ |
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const unsigned n_udword_bits = sizeof(du_int) * CHAR_BIT; |
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const unsigned n_utword_bits = sizeof(tu_int) * CHAR_BIT; |
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utwords n; |
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n.all = a; |
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utwords d; |
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d.all = b; |
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utwords q; |
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utwords r; |
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unsigned sr; |
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/* special cases, X is unknown, K != 0 */ |
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if (n.s.high == 0) |
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{ |
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if (d.s.high == 0) |
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{ |
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/* 0 X |
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* --- |
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* 0 X |
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*/ |
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if (rem) |
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*rem = n.s.low % d.s.low; |
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return n.s.low / d.s.low; |
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} |
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/* 0 X |
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* --- |
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* K X |
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*/ |
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if (rem) |
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*rem = n.s.low; |
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return 0; |
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} |
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/* n.s.high != 0 */ |
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if (d.s.low == 0) |
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{ |
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if (d.s.high == 0) |
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{ |
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/* K X |
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* --- |
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* 0 0 |
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*/ |
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if (rem) |
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*rem = n.s.high % d.s.low; |
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return n.s.high / d.s.low; |
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} |
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/* d.s.high != 0 */ |
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if (n.s.low == 0) |
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{ |
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/* K 0 |
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* --- |
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* K 0 |
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*/ |
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if (rem) |
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{ |
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r.s.high = n.s.high % d.s.high; |
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r.s.low = 0; |
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*rem = r.all; |
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} |
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return n.s.high / d.s.high; |
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} |
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/* K K |
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* --- |
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* K 0 |
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*/ |
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if ((d.s.high & (d.s.high - 1)) == 0) /* if d is a power of 2 */ |
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{ |
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if (rem) |
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{ |
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r.s.low = n.s.low; |
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r.s.high = n.s.high & (d.s.high - 1); |
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*rem = r.all; |
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} |
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return n.s.high >> __builtin_ctzll(d.s.high); |
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} |
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/* K K |
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* --- |
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* K 0 |
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*/ |
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sr = __builtin_clzll(d.s.high) - __builtin_clzll(n.s.high); |
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/* 0 <= sr <= n_udword_bits - 2 or sr large */ |
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if (sr > n_udword_bits - 2) |
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{ |
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if (rem) |
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*rem = n.all; |
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return 0; |
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} |
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++sr; |
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/* 1 <= sr <= n_udword_bits - 1 */ |
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/* q.all = n.all << (n_utword_bits - sr); */ |
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q.s.low = 0; |
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q.s.high = n.s.low << (n_udword_bits - sr); |
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/* r.all = n.all >> sr; */ |
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r.s.high = n.s.high >> sr; |
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r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
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} |
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else /* d.s.low != 0 */ |
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{ |
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if (d.s.high == 0) |
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{ |
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/* K X |
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* --- |
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* 0 K |
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*/ |
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if ((d.s.low & (d.s.low - 1)) == 0) /* if d is a power of 2 */ |
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{ |
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if (rem) |
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*rem = n.s.low & (d.s.low - 1); |
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if (d.s.low == 1) |
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return n.all; |
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sr = __builtin_ctzll(d.s.low); |
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q.s.high = n.s.high >> sr; |
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q.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
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return q.all; |
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} |
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/* K X |
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* --- |
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* 0 K |
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*/ |
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sr = 1 + n_udword_bits + __builtin_clzll(d.s.low) |
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- __builtin_clzll(n.s.high); |
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/* 2 <= sr <= n_utword_bits - 1 |
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* q.all = n.all << (n_utword_bits - sr); |
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* r.all = n.all >> sr; |
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*/ |
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if (sr == n_udword_bits) |
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{ |
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q.s.low = 0; |
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q.s.high = n.s.low; |
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r.s.high = 0; |
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r.s.low = n.s.high; |
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} |
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else if (sr < n_udword_bits) // 2 <= sr <= n_udword_bits - 1 |
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{ |
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q.s.low = 0; |
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q.s.high = n.s.low << (n_udword_bits - sr); |
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r.s.high = n.s.high >> sr; |
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r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
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} |
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else // n_udword_bits + 1 <= sr <= n_utword_bits - 1 |
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{ |
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q.s.low = n.s.low << (n_utword_bits - sr); |
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q.s.high = (n.s.high << (n_utword_bits - sr)) | |
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(n.s.low >> (sr - n_udword_bits)); |
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r.s.high = 0; |
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r.s.low = n.s.high >> (sr - n_udword_bits); |
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} |
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} |
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else |
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{ |
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/* K X |
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* --- |
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* K K |
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*/ |
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sr = __builtin_clzll(d.s.high) - __builtin_clzll(n.s.high); |
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/*0 <= sr <= n_udword_bits - 1 or sr large */ |
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if (sr > n_udword_bits - 1) |
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{ |
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if (rem) |
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*rem = n.all; |
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return 0; |
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} |
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++sr; |
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/* 1 <= sr <= n_udword_bits |
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* q.all = n.all << (n_utword_bits - sr); |
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* r.all = n.all >> sr; |
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*/ |
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q.s.low = 0; |
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if (sr == n_udword_bits) |
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{ |
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q.s.high = n.s.low; |
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r.s.high = 0; |
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r.s.low = n.s.high; |
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} |
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else |
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{ |
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r.s.high = n.s.high >> sr; |
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r.s.low = (n.s.high << (n_udword_bits - sr)) | (n.s.low >> sr); |
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q.s.high = n.s.low << (n_udword_bits - sr); |
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} |
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} |
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} |
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/* Not a special case |
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* q and r are initialized with: |
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* q.all = n.all << (n_utword_bits - sr); |
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* r.all = n.all >> sr; |
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* 1 <= sr <= n_utword_bits - 1 |
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*/ |
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su_int carry = 0; |
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for (; sr > 0; --sr) |
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{ |
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/* r:q = ((r:q) << 1) | carry */ |
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r.s.high = (r.s.high << 1) | (r.s.low >> (n_udword_bits - 1)); |
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r.s.low = (r.s.low << 1) | (q.s.high >> (n_udword_bits - 1)); |
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q.s.high = (q.s.high << 1) | (q.s.low >> (n_udword_bits - 1)); |
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q.s.low = (q.s.low << 1) | carry; |
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/* carry = 0; |
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* if (r.all >= d.all) |
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* { |
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* r.all -= d.all; |
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* carry = 1; |
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* } |
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*/ |
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const ti_int s = (ti_int)(d.all - r.all - 1) >> (n_utword_bits - 1); |
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carry = s & 1; |
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r.all -= d.all & s; |
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} |
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q.all = (q.all << 1) | carry; |
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if (rem) |
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*rem = r.all; |
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return q.all; |
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} |
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#endif /* CRT_HAS_128BIT */ |