| 1 | /* Software floating-point emulation. | 
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| 2 | Basic four-word fraction declaration and manipulation. | 
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| 3 | Copyright (C) 1997-2020 Free Software Foundation, Inc. | 
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| 4 | This file is part of the GNU C Library. | 
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| 5 | Contributed by Richard Henderson (rth@cygnus.com), | 
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| 6 | Jakub Jelinek (jj@ultra.linux.cz), | 
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| 7 | David S. Miller (davem@redhat.com) and | 
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| 8 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | 
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| 9 |  | 
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| 10 | The GNU C Library is free software; you can redistribute it and/or | 
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| 11 | modify it under the terms of the GNU Lesser General Public | 
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| 12 | License as published by the Free Software Foundation; either | 
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| 13 | version 2.1 of the License, or (at your option) any later version. | 
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| 14 |  | 
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| 15 | In addition to the permissions in the GNU Lesser General Public | 
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| 16 | License, the Free Software Foundation gives you unlimited | 
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| 17 | permission to link the compiled version of this file into | 
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| 18 | combinations with other programs, and to distribute those | 
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| 19 | combinations without any restriction coming from the use of this | 
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| 20 | file.  (The Lesser General Public License restrictions do apply in | 
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| 21 | other respects; for example, they cover modification of the file, | 
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| 22 | and distribution when not linked into a combine executable.) | 
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| 23 |  | 
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| 24 | The GNU C Library is distributed in the hope that it will be useful, | 
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| 25 | but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 26 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU | 
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| 27 | Lesser General Public License for more details. | 
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| 28 |  | 
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| 29 | You should have received a copy of the GNU Lesser General Public | 
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| 30 | License along with the GNU C Library; if not, see | 
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| 31 | <https://www.gnu.org/licenses/>.  */ | 
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| 32 |  | 
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| 33 | #ifndef SOFT_FP_OP_4_H | 
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| 34 | #define SOFT_FP_OP_4_H	1 | 
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| 35 |  | 
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| 36 | #define _FP_FRAC_DECL_4(X)	_FP_W_TYPE X##_f[4] | 
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| 37 | #define _FP_FRAC_COPY_4(D, S)			\ | 
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| 38 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1],	\ | 
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| 39 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) | 
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| 40 | #define _FP_FRAC_SET_4(X, I)	__FP_FRAC_SET_4 (X, I) | 
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| 41 | #define _FP_FRAC_HIGH_4(X)	(X##_f[3]) | 
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| 42 | #define _FP_FRAC_LOW_4(X)	(X##_f[0]) | 
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| 43 | #define _FP_FRAC_WORD_4(X, w)	(X##_f[w]) | 
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| 44 |  | 
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| 45 | #define _FP_FRAC_SLL_4(X, N)						\ | 
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| 46 | do									\ | 
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| 47 | {									\ | 
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| 48 | _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down;		\ | 
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| 49 | _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i;			\ | 
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| 50 | _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE;			\ | 
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| 51 | _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE;			\ | 
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| 52 | _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up;	\ | 
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| 53 | if (!_FP_FRAC_SLL_4_up)						\ | 
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| 54 | for (_FP_FRAC_SLL_4_i = 3;					\ | 
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| 55 | _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip;			\ | 
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| 56 | --_FP_FRAC_SLL_4_i)					\ | 
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| 57 | X##_f[_FP_FRAC_SLL_4_i]					\ | 
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| 58 | = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip];		\ | 
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| 59 | else								\ | 
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| 60 | {								\ | 
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| 61 | for (_FP_FRAC_SLL_4_i = 3;					\ | 
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| 62 | _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip;			\ | 
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| 63 | --_FP_FRAC_SLL_4_i)					\ | 
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| 64 | X##_f[_FP_FRAC_SLL_4_i]					\ | 
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| 65 | = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]		\ | 
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| 66 | << _FP_FRAC_SLL_4_up)					\ | 
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| 67 | | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1]	\ | 
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| 68 | >> _FP_FRAC_SLL_4_down));				\ | 
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| 69 | X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up;	\ | 
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| 70 | }								\ | 
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| 71 | for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i)			\ | 
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| 72 | X##_f[_FP_FRAC_SLL_4_i] = 0;					\ | 
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| 73 | }									\ | 
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| 74 | while (0) | 
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| 75 |  | 
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| 76 | /* This one was broken too.  */ | 
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| 77 | #define _FP_FRAC_SRL_4(X, N)						\ | 
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| 78 | do									\ | 
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| 79 | {									\ | 
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| 80 | _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down;		\ | 
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| 81 | _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i;			\ | 
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| 82 | _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE;			\ | 
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| 83 | _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE;			\ | 
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| 84 | _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down;	\ | 
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| 85 | if (!_FP_FRAC_SRL_4_down)						\ | 
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| 86 | for (_FP_FRAC_SRL_4_i = 0;					\ | 
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| 87 | _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip;			\ | 
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| 88 | ++_FP_FRAC_SRL_4_i)					\ | 
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| 89 | X##_f[_FP_FRAC_SRL_4_i]					\ | 
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| 90 | = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip];		\ | 
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| 91 | else								\ | 
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| 92 | {								\ | 
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| 93 | for (_FP_FRAC_SRL_4_i = 0;					\ | 
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| 94 | _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip;		\ | 
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| 95 | ++_FP_FRAC_SRL_4_i)					\ | 
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| 96 | X##_f[_FP_FRAC_SRL_4_i]					\ | 
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| 97 | = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]		\ | 
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| 98 | >> _FP_FRAC_SRL_4_down)				\ | 
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| 99 | | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1]	\ | 
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| 100 | << _FP_FRAC_SRL_4_up));				\ | 
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| 101 | X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down;	\ | 
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| 102 | }								\ | 
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| 103 | for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i)			\ | 
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| 104 | X##_f[_FP_FRAC_SRL_4_i] = 0;					\ | 
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| 105 | }									\ | 
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| 106 | while (0) | 
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| 107 |  | 
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| 108 |  | 
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| 109 | /* Right shift with sticky-lsb. | 
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| 110 | What this actually means is that we do a standard right-shift, | 
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| 111 | but that if any of the bits that fall off the right hand side | 
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| 112 | were one then we always set the LSbit.  */ | 
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| 113 | #define _FP_FRAC_SRST_4(X, S, N, size)					\ | 
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| 114 | do									\ | 
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| 115 | {									\ | 
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| 116 | _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down;		\ | 
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| 117 | _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i;		\ | 
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| 118 | _FP_W_TYPE _FP_FRAC_SRST_4_s;					\ | 
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| 119 | _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE;			\ | 
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| 120 | _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE;			\ | 
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| 121 | _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down;	\ | 
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| 122 | for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0;			\ | 
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| 123 | _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip;			\ | 
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| 124 | ++_FP_FRAC_SRST_4_i)						\ | 
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| 125 | _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i];			\ | 
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| 126 | if (!_FP_FRAC_SRST_4_down)					\ | 
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| 127 | for (_FP_FRAC_SRST_4_i = 0;					\ | 
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| 128 | _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip;		\ | 
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| 129 | ++_FP_FRAC_SRST_4_i)					\ | 
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| 130 | X##_f[_FP_FRAC_SRST_4_i]					\ | 
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| 131 | = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip];		\ | 
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| 132 | else								\ | 
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| 133 | {								\ | 
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| 134 | _FP_FRAC_SRST_4_s						\ | 
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| 135 | |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up;		\ | 
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| 136 | for (_FP_FRAC_SRST_4_i = 0;					\ | 
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| 137 | _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip;		\ | 
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| 138 | ++_FP_FRAC_SRST_4_i)					\ | 
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| 139 | X##_f[_FP_FRAC_SRST_4_i]					\ | 
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| 140 | = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]		\ | 
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| 141 | >> _FP_FRAC_SRST_4_down)				\ | 
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| 142 | | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1]	\ | 
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| 143 | << _FP_FRAC_SRST_4_up));				\ | 
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| 144 | X##_f[_FP_FRAC_SRST_4_i++]					\ | 
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| 145 | = X##_f[3] >> _FP_FRAC_SRST_4_down;				\ | 
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| 146 | }								\ | 
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| 147 | for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i)		\ | 
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| 148 | X##_f[_FP_FRAC_SRST_4_i] = 0;					\ | 
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| 149 | S = (_FP_FRAC_SRST_4_s != 0);					\ | 
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| 150 | }									\ | 
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| 151 | while (0) | 
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| 152 |  | 
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| 153 | #define _FP_FRAC_SRS_4(X, N, size)				\ | 
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| 154 | do								\ | 
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| 155 | {								\ | 
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| 156 | int _FP_FRAC_SRS_4_sticky;				\ | 
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| 157 | _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size));	\ | 
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| 158 | X##_f[0] |= _FP_FRAC_SRS_4_sticky;			\ | 
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| 159 | }								\ | 
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| 160 | while (0) | 
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| 161 |  | 
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| 162 | #define _FP_FRAC_ADD_4(R, X, Y)					\ | 
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| 163 | __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0],	\ | 
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| 164 | X##_f[3], X##_f[2], X##_f[1], X##_f[0],	\ | 
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| 165 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | 
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| 166 |  | 
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| 167 | #define _FP_FRAC_SUB_4(R, X, Y)					\ | 
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| 168 | __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0],	\ | 
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| 169 | X##_f[3], X##_f[2], X##_f[1], X##_f[0],	\ | 
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| 170 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | 
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| 171 |  | 
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| 172 | #define _FP_FRAC_DEC_4(X, Y)					\ | 
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| 173 | __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0],	\ | 
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| 174 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | 
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| 175 |  | 
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| 176 | #define _FP_FRAC_ADDI_4(X, I)					\ | 
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| 177 | __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) | 
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| 178 |  | 
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| 179 | #define _FP_ZEROFRAC_4  0, 0, 0, 0 | 
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| 180 | #define _FP_MINFRAC_4   0, 0, 0, 1 | 
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| 181 | #define _FP_MAXFRAC_4	(~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) | 
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| 182 |  | 
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| 183 | #define _FP_FRAC_ZEROP_4(X)     ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) | 
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| 184 | #define _FP_FRAC_NEGP_4(X)      ((_FP_WS_TYPE) X##_f[3] < 0) | 
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| 185 | #define _FP_FRAC_OVERP_4(fs, X)  (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) | 
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| 186 | #define _FP_FRAC_HIGHBIT_DW_4(fs, X)	\ | 
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| 187 | (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) | 
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| 188 | #define _FP_FRAC_CLEAR_OVERP_4(fs, X)  (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) | 
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| 189 |  | 
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| 190 | #define _FP_FRAC_EQ_4(X, Y)				\ | 
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| 191 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1]		\ | 
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| 192 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) | 
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| 193 |  | 
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| 194 | #define _FP_FRAC_GT_4(X, Y)				\ | 
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| 195 | (X##_f[3] > Y##_f[3]					\ | 
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| 196 | || (X##_f[3] == Y##_f[3]				\ | 
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| 197 | && (X##_f[2] > Y##_f[2]				\ | 
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| 198 | || (X##_f[2] == Y##_f[2]			\ | 
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| 199 | && (X##_f[1] > Y##_f[1]			\ | 
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| 200 | || (X##_f[1] == Y##_f[1]		\ | 
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| 201 | && X##_f[0] > Y##_f[0])))))) | 
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| 202 |  | 
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| 203 | #define _FP_FRAC_GE_4(X, Y)				\ | 
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| 204 | (X##_f[3] > Y##_f[3]					\ | 
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| 205 | || (X##_f[3] == Y##_f[3]				\ | 
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| 206 | && (X##_f[2] > Y##_f[2]				\ | 
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| 207 | || (X##_f[2] == Y##_f[2]			\ | 
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| 208 | && (X##_f[1] > Y##_f[1]			\ | 
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| 209 | || (X##_f[1] == Y##_f[1]		\ | 
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| 210 | && X##_f[0] >= Y##_f[0])))))) | 
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| 211 |  | 
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| 212 |  | 
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| 213 | #define _FP_FRAC_CLZ_4(R, X)			\ | 
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| 214 | do						\ | 
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| 215 | {						\ | 
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| 216 | if (X##_f[3])				\ | 
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| 217 | __FP_CLZ ((R), X##_f[3]);		\ | 
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| 218 | else if (X##_f[2])			\ | 
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| 219 | {					\ | 
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| 220 | __FP_CLZ ((R), X##_f[2]);		\ | 
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| 221 | (R) += _FP_W_TYPE_SIZE;		\ | 
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| 222 | }					\ | 
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| 223 | else if (X##_f[1])			\ | 
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| 224 | {					\ | 
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| 225 | __FP_CLZ ((R), X##_f[1]);		\ | 
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| 226 | (R) += _FP_W_TYPE_SIZE*2;		\ | 
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| 227 | }					\ | 
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| 228 | else					\ | 
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| 229 | {					\ | 
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| 230 | __FP_CLZ ((R), X##_f[0]);		\ | 
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| 231 | (R) += _FP_W_TYPE_SIZE*3;		\ | 
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| 232 | }					\ | 
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| 233 | }						\ | 
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| 234 | while (0) | 
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| 235 |  | 
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| 236 |  | 
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| 237 | #define _FP_UNPACK_RAW_4(fs, X, val)			\ | 
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| 238 | do							\ | 
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| 239 | {							\ | 
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| 240 | union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo;	\ | 
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| 241 | _FP_UNPACK_RAW_4_flo.flt = (val);			\ | 
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| 242 | X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0;	\ | 
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| 243 | X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1;	\ | 
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| 244 | X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2;	\ | 
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| 245 | X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3;	\ | 
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| 246 | X##_e  = _FP_UNPACK_RAW_4_flo.bits.exp;		\ | 
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| 247 | X##_s  = _FP_UNPACK_RAW_4_flo.bits.sign;		\ | 
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| 248 | }							\ | 
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| 249 | while (0) | 
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| 250 |  | 
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| 251 | #define _FP_UNPACK_RAW_4_P(fs, X, val)			\ | 
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| 252 | do							\ | 
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| 253 | {							\ | 
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| 254 | union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo	\ | 
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| 255 | = (union _FP_UNION_##fs *) (val);		\ | 
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| 256 | \ | 
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| 257 | X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0;	\ | 
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| 258 | X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1;	\ | 
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| 259 | X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2;	\ | 
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| 260 | X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3;	\ | 
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| 261 | X##_e  = _FP_UNPACK_RAW_4_P_flo->bits.exp;	\ | 
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| 262 | X##_s  = _FP_UNPACK_RAW_4_P_flo->bits.sign;	\ | 
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| 263 | }							\ | 
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| 264 | while (0) | 
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| 265 |  | 
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| 266 | #define _FP_PACK_RAW_4(fs, val, X)		\ | 
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| 267 | do						\ | 
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| 268 | {						\ | 
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| 269 | union _FP_UNION_##fs _FP_PACK_RAW_4_flo;	\ | 
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| 270 | _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0];	\ | 
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| 271 | _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1];	\ | 
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| 272 | _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2];	\ | 
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| 273 | _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3];	\ | 
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| 274 | _FP_PACK_RAW_4_flo.bits.exp   = X##_e;	\ | 
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| 275 | _FP_PACK_RAW_4_flo.bits.sign  = X##_s;	\ | 
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| 276 | (val) = _FP_PACK_RAW_4_flo.flt;		\ | 
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| 277 | }						\ | 
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| 278 | while (0) | 
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| 279 |  | 
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| 280 | #define _FP_PACK_RAW_4_P(fs, val, X)			\ | 
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| 281 | do							\ | 
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| 282 | {							\ | 
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| 283 | union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo	\ | 
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| 284 | = (union _FP_UNION_##fs *) (val);		\ | 
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| 285 | \ | 
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| 286 | _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0];	\ | 
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| 287 | _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1];	\ | 
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| 288 | _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2];	\ | 
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| 289 | _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3];	\ | 
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| 290 | _FP_PACK_RAW_4_P_flo->bits.exp   = X##_e;		\ | 
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| 291 | _FP_PACK_RAW_4_P_flo->bits.sign  = X##_s;		\ | 
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| 292 | }							\ | 
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| 293 | while (0) | 
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| 294 |  | 
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| 295 | /* Multiplication algorithms: */ | 
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| 296 |  | 
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| 297 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication.  */ | 
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| 298 |  | 
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| 299 | #define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit)		\ | 
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| 300 | do									\ | 
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| 301 | {									\ | 
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| 302 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b);			\ | 
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| 303 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c);			\ | 
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| 304 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d);			\ | 
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| 305 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e);			\ | 
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| 306 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f);			\ | 
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| 307 | \ | 
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| 308 | doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0),		\ | 
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| 309 | X##_f[0], Y##_f[0]);					\ | 
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| 310 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0,	\ | 
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| 311 | X##_f[0], Y##_f[1]);					\ | 
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| 312 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0,	\ | 
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| 313 | X##_f[1], Y##_f[0]);					\ | 
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| 314 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0,	\ | 
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| 315 | X##_f[1], Y##_f[1]);					\ | 
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| 316 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0,	\ | 
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| 317 | X##_f[0], Y##_f[2]);					\ | 
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| 318 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0,	\ | 
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| 319 | X##_f[2], Y##_f[0]);					\ | 
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| 320 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2),	\ | 
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| 321 | _FP_FRAC_WORD_8 (R, 1), 0,			\ | 
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| 322 | _FP_MUL_MEAT_DW_4_wide_b_f1,			\ | 
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| 323 | _FP_MUL_MEAT_DW_4_wide_b_f0,			\ | 
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| 324 | 0, 0, _FP_FRAC_WORD_8 (R, 1));			\ | 
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| 325 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2),	\ | 
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| 326 | _FP_FRAC_WORD_8 (R, 1), 0,			\ | 
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| 327 | _FP_MUL_MEAT_DW_4_wide_c_f1,			\ | 
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| 328 | _FP_MUL_MEAT_DW_4_wide_c_f0,			\ | 
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| 329 | _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2),	\ | 
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| 330 | _FP_FRAC_WORD_8 (R, 1));				\ | 
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| 331 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3),	\ | 
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| 332 | _FP_FRAC_WORD_8 (R, 2), 0,			\ | 
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| 333 | _FP_MUL_MEAT_DW_4_wide_d_f1,			\ | 
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| 334 | _FP_MUL_MEAT_DW_4_wide_d_f0,			\ | 
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| 335 | 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ | 
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| 336 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3),	\ | 
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| 337 | _FP_FRAC_WORD_8 (R, 2), 0,			\ | 
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| 338 | _FP_MUL_MEAT_DW_4_wide_e_f1,			\ | 
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| 339 | _FP_MUL_MEAT_DW_4_wide_e_f0,			\ | 
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| 340 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3),	\ | 
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| 341 | _FP_FRAC_WORD_8 (R, 2));				\ | 
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| 342 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3),	\ | 
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| 343 | _FP_FRAC_WORD_8 (R, 2), 0,			\ | 
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| 344 | _FP_MUL_MEAT_DW_4_wide_f_f1,			\ | 
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| 345 | _FP_MUL_MEAT_DW_4_wide_f_f0,			\ | 
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| 346 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3),	\ | 
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| 347 | _FP_FRAC_WORD_8 (R, 2));				\ | 
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| 348 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1,				\ | 
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| 349 | _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]);		\ | 
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| 350 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1,				\ | 
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| 351 | _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]);		\ | 
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| 352 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0,	\ | 
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| 353 | X##_f[1], Y##_f[2]);					\ | 
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| 354 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0,	\ | 
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| 355 | X##_f[2], Y##_f[1]);					\ | 
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| 356 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 357 | _FP_FRAC_WORD_8 (R, 3), 0,			\ | 
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| 358 | _FP_MUL_MEAT_DW_4_wide_b_f1,			\ | 
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| 359 | _FP_MUL_MEAT_DW_4_wide_b_f0,			\ | 
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| 360 | 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ | 
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| 361 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 362 | _FP_FRAC_WORD_8 (R, 3), 0,			\ | 
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| 363 | _FP_MUL_MEAT_DW_4_wide_c_f1,			\ | 
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| 364 | _FP_MUL_MEAT_DW_4_wide_c_f0,			\ | 
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| 365 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 366 | _FP_FRAC_WORD_8 (R, 3));				\ | 
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| 367 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 368 | _FP_FRAC_WORD_8 (R, 3), 0,			\ | 
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| 369 | _FP_MUL_MEAT_DW_4_wide_d_f1,			\ | 
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| 370 | _FP_MUL_MEAT_DW_4_wide_d_f0,			\ | 
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| 371 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 372 | _FP_FRAC_WORD_8 (R, 3));				\ | 
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| 373 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 374 | _FP_FRAC_WORD_8 (R, 3), 0,			\ | 
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| 375 | _FP_MUL_MEAT_DW_4_wide_e_f1,			\ | 
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| 376 | _FP_MUL_MEAT_DW_4_wide_e_f0,			\ | 
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| 377 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4),	\ | 
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| 378 | _FP_FRAC_WORD_8 (R, 3));				\ | 
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| 379 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0,	\ | 
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| 380 | X##_f[2], Y##_f[2]);					\ | 
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| 381 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0,	\ | 
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| 382 | X##_f[1], Y##_f[3]);					\ | 
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| 383 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0,	\ | 
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| 384 | X##_f[3], Y##_f[1]);					\ | 
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| 385 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0,	\ | 
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| 386 | X##_f[2], Y##_f[3]);					\ | 
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| 387 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0,	\ | 
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| 388 | X##_f[3], Y##_f[2]);					\ | 
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| 389 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5),	\ | 
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| 390 | _FP_FRAC_WORD_8 (R, 4), 0,			\ | 
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| 391 | _FP_MUL_MEAT_DW_4_wide_b_f1,			\ | 
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| 392 | _FP_MUL_MEAT_DW_4_wide_b_f0,			\ | 
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| 393 | 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ | 
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| 394 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5),	\ | 
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| 395 | _FP_FRAC_WORD_8 (R, 4), 0,			\ | 
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| 396 | _FP_MUL_MEAT_DW_4_wide_c_f1,			\ | 
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| 397 | _FP_MUL_MEAT_DW_4_wide_c_f0,			\ | 
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| 398 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5),	\ | 
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| 399 | _FP_FRAC_WORD_8 (R, 4));				\ | 
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| 400 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5),	\ | 
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| 401 | _FP_FRAC_WORD_8 (R, 4), 0,			\ | 
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| 402 | _FP_MUL_MEAT_DW_4_wide_d_f1,			\ | 
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| 403 | _FP_MUL_MEAT_DW_4_wide_d_f0,			\ | 
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| 404 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5),	\ | 
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| 405 | _FP_FRAC_WORD_8 (R, 4));				\ | 
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| 406 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6),	\ | 
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| 407 | _FP_FRAC_WORD_8 (R, 5), 0,			\ | 
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| 408 | _FP_MUL_MEAT_DW_4_wide_e_f1,			\ | 
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| 409 | _FP_MUL_MEAT_DW_4_wide_e_f0,			\ | 
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| 410 | 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ | 
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| 411 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6),	\ | 
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| 412 | _FP_FRAC_WORD_8 (R, 5), 0,			\ | 
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| 413 | _FP_MUL_MEAT_DW_4_wide_f_f1,			\ | 
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| 414 | _FP_MUL_MEAT_DW_4_wide_f_f0,			\ | 
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| 415 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6),	\ | 
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| 416 | _FP_FRAC_WORD_8 (R, 5));				\ | 
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| 417 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0,	\ | 
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| 418 | X##_f[3], Y##_f[3]);					\ | 
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| 419 | __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6),	\ | 
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| 420 | _FP_MUL_MEAT_DW_4_wide_b_f1,			\ | 
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| 421 | _FP_MUL_MEAT_DW_4_wide_b_f0,			\ | 
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| 422 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6));	\ | 
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| 423 | }									\ | 
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| 424 | while (0) | 
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| 425 |  | 
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| 426 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit)			\ | 
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| 427 | do									\ | 
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| 428 | {									\ | 
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| 429 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z);				\ | 
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| 430 | \ | 
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| 431 | _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z,	\ | 
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| 432 | X, Y, doit);				\ | 
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| 433 | \ | 
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| 434 | /* Normalize since we know where the msb of the multiplicands	\ | 
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| 435 | were (bit B), we know that the msb of the of the product is	\ | 
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| 436 | at either 2B or 2B-1.  */					\ | 
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| 437 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1,		\ | 
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| 438 | 2*(wfracbits));					\ | 
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| 439 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3),	\ | 
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| 440 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2),	\ | 
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| 441 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1),	\ | 
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| 442 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0));	\ | 
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| 443 | }									\ | 
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| 444 | while (0) | 
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| 445 |  | 
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| 446 | #define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y)	\ | 
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| 447 | do							\ | 
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| 448 | {							\ | 
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| 449 | mpn_mul_n (R##_f, _x_f, _y_f, 4);			\ | 
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| 450 | }							\ | 
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| 451 | while (0) | 
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| 452 |  | 
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| 453 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y)				\ | 
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| 454 | do									\ | 
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| 455 | {									\ | 
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| 456 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z);				\ | 
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| 457 | \ | 
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| 458 | _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y);	\ | 
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| 459 | \ | 
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| 460 | /* Normalize since we know where the msb of the multiplicands	\ | 
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| 461 | were (bit B), we know that the msb of the of the product is	\ | 
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| 462 | at either 2B or 2B-1.  */					\ | 
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| 463 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1,		\ | 
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| 464 | 2*(wfracbits));					\ | 
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| 465 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3),	\ | 
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| 466 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2),	\ | 
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| 467 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1),	\ | 
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| 468 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0));	\ | 
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| 469 | }									\ | 
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| 470 | while (0) | 
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| 471 |  | 
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| 472 | /* Helper utility for _FP_DIV_MEAT_4_udiv: | 
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| 473 | * pppp = m * nnn.  */ | 
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| 474 | #define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0)	\ | 
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| 475 | do							\ | 
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| 476 | {							\ | 
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| 477 | UWtype umul_ppppmnnn_t;				\ | 
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| 478 | umul_ppmm (p1, p0, m, n0);			\ | 
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| 479 | umul_ppmm (p2, umul_ppppmnnn_t, m, n1);		\ | 
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| 480 | __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t);	\ | 
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| 481 | umul_ppmm (p3, umul_ppppmnnn_t, m, n2);		\ | 
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| 482 | __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t);	\ | 
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| 483 | }							\ | 
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| 484 | while (0) | 
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| 485 |  | 
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| 486 | /* Division algorithms: */ | 
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| 487 |  | 
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| 488 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y)				\ | 
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| 489 | do									\ | 
|---|
| 490 | {									\ | 
|---|
| 491 | int _FP_DIV_MEAT_4_udiv_i;					\ | 
|---|
| 492 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n);				\ | 
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| 493 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m);				\ | 
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| 494 | _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4);		\ | 
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| 495 | if (_FP_FRAC_GE_4 (X, Y))						\ | 
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| 496 | {								\ | 
|---|
| 497 | _FP_DIV_MEAT_4_udiv_n_f[3]					\ | 
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| 498 | = X##_f[0] << (_FP_W_TYPE_SIZE - 1);			\ | 
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| 499 | _FP_FRAC_SRL_4 (X, 1);					\ | 
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| 500 | }								\ | 
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| 501 | else								\ | 
|---|
| 502 | R##_e--;							\ | 
|---|
| 503 | \ | 
|---|
| 504 | /* Normalize, i.e. make the most significant bit of the		\ | 
|---|
| 505 | denominator set.  */						\ | 
|---|
| 506 | _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs);				\ | 
|---|
| 507 | \ | 
|---|
| 508 | for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--)	\ | 
|---|
| 509 | {								\ | 
|---|
| 510 | if (X##_f[3] == Y##_f[3])					\ | 
|---|
| 511 | {								\ | 
|---|
| 512 | /* This is a special case, not an optimization		\ | 
|---|
| 513 | (X##_f[3]/Y##_f[3] would not fit into UWtype).		\ | 
|---|
| 514 | As X## is guaranteed to be < Y,			\ | 
|---|
| 515 | R##_f[_FP_DIV_MEAT_4_udiv_i] can be either		\ | 
|---|
| 516 | (UWtype)-1 or (UWtype)-2.  */				\ | 
|---|
| 517 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -1;			\ | 
|---|
| 518 | if (!_FP_DIV_MEAT_4_udiv_i)				\ | 
|---|
| 519 | break;							\ | 
|---|
| 520 | __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0],	\ | 
|---|
| 521 | Y##_f[2], Y##_f[1], Y##_f[0], 0,		\ | 
|---|
| 522 | X##_f[2], X##_f[1], X##_f[0],		\ | 
|---|
| 523 | _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ | 
|---|
| 524 | _FP_FRAC_SUB_4 (X, Y, X);					\ | 
|---|
| 525 | if (X##_f[3] > Y##_f[3])					\ | 
|---|
| 526 | {							\ | 
|---|
| 527 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -2;			\ | 
|---|
| 528 | _FP_FRAC_ADD_4 (X, Y, X);				\ | 
|---|
| 529 | }							\ | 
|---|
| 530 | }								\ | 
|---|
| 531 | else								\ | 
|---|
| 532 | {								\ | 
|---|
| 533 | udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i],			\ | 
|---|
| 534 | X##_f[3], X##_f[3], X##_f[2], Y##_f[3]);	\ | 
|---|
| 535 | umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3],		\ | 
|---|
| 536 | _FP_DIV_MEAT_4_udiv_m_f[2],		\ | 
|---|
| 537 | _FP_DIV_MEAT_4_udiv_m_f[1],		\ | 
|---|
| 538 | _FP_DIV_MEAT_4_udiv_m_f[0],		\ | 
|---|
| 539 | R##_f[_FP_DIV_MEAT_4_udiv_i],		\ | 
|---|
| 540 | Y##_f[2], Y##_f[1], Y##_f[0]);		\ | 
|---|
| 541 | X##_f[2] = X##_f[1];					\ | 
|---|
| 542 | X##_f[1] = X##_f[0];					\ | 
|---|
| 543 | X##_f[0]							\ | 
|---|
| 544 | = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i];	\ | 
|---|
| 545 | if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X))		\ | 
|---|
| 546 | {							\ | 
|---|
| 547 | R##_f[_FP_DIV_MEAT_4_udiv_i]--;			\ | 
|---|
| 548 | _FP_FRAC_ADD_4 (X, Y, X);				\ | 
|---|
| 549 | if (_FP_FRAC_GE_4 (X, Y)				\ | 
|---|
| 550 | && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X))	\ | 
|---|
| 551 | {							\ | 
|---|
| 552 | R##_f[_FP_DIV_MEAT_4_udiv_i]--;			\ | 
|---|
| 553 | _FP_FRAC_ADD_4 (X, Y, X);				\ | 
|---|
| 554 | }							\ | 
|---|
| 555 | }							\ | 
|---|
| 556 | _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m);		\ | 
|---|
| 557 | if (!_FP_DIV_MEAT_4_udiv_i)				\ | 
|---|
| 558 | {							\ | 
|---|
| 559 | if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m))	\ | 
|---|
| 560 | R##_f[0] |= _FP_WORK_STICKY;			\ | 
|---|
| 561 | break;						\ | 
|---|
| 562 | }							\ | 
|---|
| 563 | }								\ | 
|---|
| 564 | }								\ | 
|---|
| 565 | }									\ | 
|---|
| 566 | while (0) | 
|---|
| 567 |  | 
|---|
| 568 |  | 
|---|
| 569 | /* Square root algorithms: | 
|---|
| 570 | We have just one right now, maybe Newton approximation | 
|---|
| 571 | should be added for those machines where division is fast.  */ | 
|---|
| 572 |  | 
|---|
| 573 | #define _FP_SQRT_MEAT_4(R, S, T, X, q)					\ | 
|---|
| 574 | do									\ | 
|---|
| 575 | {									\ | 
|---|
| 576 | while (q)								\ | 
|---|
| 577 | {								\ | 
|---|
| 578 | T##_f[3] = S##_f[3] + (q);					\ | 
|---|
| 579 | if (T##_f[3] <= X##_f[3])					\ | 
|---|
| 580 | {								\ | 
|---|
| 581 | S##_f[3] = T##_f[3] + (q);				\ | 
|---|
| 582 | X##_f[3] -= T##_f[3];					\ | 
|---|
| 583 | R##_f[3] += (q);						\ | 
|---|
| 584 | }								\ | 
|---|
| 585 | _FP_FRAC_SLL_4 (X, 1);					\ | 
|---|
| 586 | (q) >>= 1;							\ | 
|---|
| 587 | }								\ | 
|---|
| 588 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1);			\ | 
|---|
| 589 | while (q)								\ | 
|---|
| 590 | {								\ | 
|---|
| 591 | T##_f[2] = S##_f[2] + (q);					\ | 
|---|
| 592 | T##_f[3] = S##_f[3];						\ | 
|---|
| 593 | if (T##_f[3] < X##_f[3]					\ | 
|---|
| 594 | || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2]))	\ | 
|---|
| 595 | {								\ | 
|---|
| 596 | S##_f[2] = T##_f[2] + (q);				\ | 
|---|
| 597 | S##_f[3] += (T##_f[2] > S##_f[2]);			\ | 
|---|
| 598 | __FP_FRAC_DEC_2 (X##_f[3], X##_f[2],			\ | 
|---|
| 599 | T##_f[3], T##_f[2]);			\ | 
|---|
| 600 | R##_f[2] += (q);						\ | 
|---|
| 601 | }								\ | 
|---|
| 602 | _FP_FRAC_SLL_4 (X, 1);					\ | 
|---|
| 603 | (q) >>= 1;							\ | 
|---|
| 604 | }								\ | 
|---|
| 605 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1);			\ | 
|---|
| 606 | while (q)								\ | 
|---|
| 607 | {								\ | 
|---|
| 608 | T##_f[1] = S##_f[1] + (q);					\ | 
|---|
| 609 | T##_f[2] = S##_f[2];						\ | 
|---|
| 610 | T##_f[3] = S##_f[3];						\ | 
|---|
| 611 | if (T##_f[3] < X##_f[3]					\ | 
|---|
| 612 | || (T##_f[3] == X##_f[3]					\ | 
|---|
| 613 | && (T##_f[2] < X##_f[2]				\ | 
|---|
| 614 | || (T##_f[2] == X##_f[2]				\ | 
|---|
| 615 | && T##_f[1] <= X##_f[1]))))			\ | 
|---|
| 616 | {								\ | 
|---|
| 617 | S##_f[1] = T##_f[1] + (q);				\ | 
|---|
| 618 | S##_f[2] += (T##_f[1] > S##_f[1]);			\ | 
|---|
| 619 | S##_f[3] += (T##_f[2] > S##_f[2]);			\ | 
|---|
| 620 | __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1],		\ | 
|---|
| 621 | T##_f[3], T##_f[2], T##_f[1]);		\ | 
|---|
| 622 | R##_f[1] += (q);						\ | 
|---|
| 623 | }								\ | 
|---|
| 624 | _FP_FRAC_SLL_4 (X, 1);					\ | 
|---|
| 625 | (q) >>= 1;							\ | 
|---|
| 626 | }								\ | 
|---|
| 627 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1);			\ | 
|---|
| 628 | while ((q) != _FP_WORK_ROUND)					\ | 
|---|
| 629 | {								\ | 
|---|
| 630 | T##_f[0] = S##_f[0] + (q);					\ | 
|---|
| 631 | T##_f[1] = S##_f[1];						\ | 
|---|
| 632 | T##_f[2] = S##_f[2];						\ | 
|---|
| 633 | T##_f[3] = S##_f[3];						\ | 
|---|
| 634 | if (_FP_FRAC_GE_4 (X, T))					\ | 
|---|
| 635 | {								\ | 
|---|
| 636 | S##_f[0] = T##_f[0] + (q);				\ | 
|---|
| 637 | S##_f[1] += (T##_f[0] > S##_f[0]);			\ | 
|---|
| 638 | S##_f[2] += (T##_f[1] > S##_f[1]);			\ | 
|---|
| 639 | S##_f[3] += (T##_f[2] > S##_f[2]);			\ | 
|---|
| 640 | _FP_FRAC_DEC_4 (X, T);					\ | 
|---|
| 641 | R##_f[0] += (q);						\ | 
|---|
| 642 | }								\ | 
|---|
| 643 | _FP_FRAC_SLL_4 (X, 1);					\ | 
|---|
| 644 | (q) >>= 1;							\ | 
|---|
| 645 | }								\ | 
|---|
| 646 | if (!_FP_FRAC_ZEROP_4 (X))					\ | 
|---|
| 647 | {								\ | 
|---|
| 648 | if (_FP_FRAC_GT_4 (X, S))					\ | 
|---|
| 649 | R##_f[0] |= _FP_WORK_ROUND;					\ | 
|---|
| 650 | R##_f[0] |= _FP_WORK_STICKY;					\ | 
|---|
| 651 | }								\ | 
|---|
| 652 | }									\ | 
|---|
| 653 | while (0) | 
|---|
| 654 |  | 
|---|
| 655 |  | 
|---|
| 656 | /* Internals.  */ | 
|---|
| 657 |  | 
|---|
| 658 | #define __FP_FRAC_SET_4(X, I3, I2, I1, I0)			\ | 
|---|
| 659 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) | 
|---|
| 660 |  | 
|---|
| 661 | #ifndef __FP_FRAC_ADD_3 | 
|---|
| 662 | # define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0)	\ | 
|---|
| 663 | do								\ | 
|---|
| 664 | {								\ | 
|---|
| 665 | _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2;	\ | 
|---|
| 666 | r0 = x0 + y0;						\ | 
|---|
| 667 | __FP_FRAC_ADD_3_c1 = r0 < x0;				\ | 
|---|
| 668 | r1 = x1 + y1;						\ | 
|---|
| 669 | __FP_FRAC_ADD_3_c2 = r1 < x1;				\ | 
|---|
| 670 | r1 += __FP_FRAC_ADD_3_c1;					\ | 
|---|
| 671 | __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1;		\ | 
|---|
| 672 | r2 = x2 + y2 + __FP_FRAC_ADD_3_c2;			\ | 
|---|
| 673 | }								\ | 
|---|
| 674 | while (0) | 
|---|
| 675 | #endif | 
|---|
| 676 |  | 
|---|
| 677 | #ifndef __FP_FRAC_ADD_4 | 
|---|
| 678 | # define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ | 
|---|
| 679 | do									\ | 
|---|
| 680 | {									\ | 
|---|
| 681 | _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2;		\ | 
|---|
| 682 | _FP_W_TYPE __FP_FRAC_ADD_4_c3;					\ | 
|---|
| 683 | r0 = x0 + y0;							\ | 
|---|
| 684 | __FP_FRAC_ADD_4_c1 = r0 < x0;					\ | 
|---|
| 685 | r1 = x1 + y1;							\ | 
|---|
| 686 | __FP_FRAC_ADD_4_c2 = r1 < x1;					\ | 
|---|
| 687 | r1 += __FP_FRAC_ADD_4_c1;						\ | 
|---|
| 688 | __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1;			\ | 
|---|
| 689 | r2 = x2 + y2;							\ | 
|---|
| 690 | __FP_FRAC_ADD_4_c3 = r2 < x2;					\ | 
|---|
| 691 | r2 += __FP_FRAC_ADD_4_c2;						\ | 
|---|
| 692 | __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2;			\ | 
|---|
| 693 | r3 = x3 + y3 + __FP_FRAC_ADD_4_c3;				\ | 
|---|
| 694 | }									\ | 
|---|
| 695 | while (0) | 
|---|
| 696 | #endif | 
|---|
| 697 |  | 
|---|
| 698 | #ifndef __FP_FRAC_SUB_3 | 
|---|
| 699 | # define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0)    \ | 
|---|
| 700 | do                                                            \ | 
|---|
| 701 | {                                                           \ | 
|---|
| 702 | _FP_W_TYPE __FP_FRAC_SUB_3_tmp[2];                        \ | 
|---|
| 703 | _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2;        \ | 
|---|
| 704 | __FP_FRAC_SUB_3_tmp[0] = x0 - y0;                         \ | 
|---|
| 705 | __FP_FRAC_SUB_3_c1 = __FP_FRAC_SUB_3_tmp[0] > x0;         \ | 
|---|
| 706 | __FP_FRAC_SUB_3_tmp[1] = x1 - y1;                         \ | 
|---|
| 707 | __FP_FRAC_SUB_3_c2 = __FP_FRAC_SUB_3_tmp[1] > x1;         \ | 
|---|
| 708 | __FP_FRAC_SUB_3_tmp[1] -= __FP_FRAC_SUB_3_c1;             \ | 
|---|
| 709 | __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1);   \ | 
|---|
| 710 | r2 = x2 - y2 - __FP_FRAC_SUB_3_c2;                        \ | 
|---|
| 711 | r1 = __FP_FRAC_SUB_3_tmp[1];                              \ | 
|---|
| 712 | r0 = __FP_FRAC_SUB_3_tmp[0];                              \ | 
|---|
| 713 | }                                                           \ | 
|---|
| 714 | while (0) | 
|---|
| 715 | #endif | 
|---|
| 716 |  | 
|---|
| 717 | #ifndef __FP_FRAC_SUB_4 | 
|---|
| 718 | # define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ | 
|---|
| 719 | do                                                                     \ | 
|---|
| 720 | {                                                                    \ | 
|---|
| 721 | _FP_W_TYPE __FP_FRAC_SUB_4_tmp[3];                                 \ | 
|---|
| 722 | _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2;                 \ | 
|---|
| 723 | _FP_W_TYPE __FP_FRAC_SUB_4_c3;                                     \ | 
|---|
| 724 | __FP_FRAC_SUB_4_tmp[0] = x0 - y0;                                  \ | 
|---|
| 725 | __FP_FRAC_SUB_4_c1 = __FP_FRAC_SUB_4_tmp[0] > x0;                  \ | 
|---|
| 726 | __FP_FRAC_SUB_4_tmp[1] = x1 - y1;                                  \ | 
|---|
| 727 | __FP_FRAC_SUB_4_c2 = __FP_FRAC_SUB_4_tmp[1] > x1;                  \ | 
|---|
| 728 | __FP_FRAC_SUB_4_tmp[1] -= __FP_FRAC_SUB_4_c1;                      \ | 
|---|
| 729 | __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1);            \ | 
|---|
| 730 | __FP_FRAC_SUB_4_tmp[2] = x2 - y2;                                  \ | 
|---|
| 731 | __FP_FRAC_SUB_4_c3 = __FP_FRAC_SUB_4_tmp[2] > x2;                  \ | 
|---|
| 732 | __FP_FRAC_SUB_4_tmp[2] -= __FP_FRAC_SUB_4_c2;                      \ | 
|---|
| 733 | __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2);            \ | 
|---|
| 734 | r3 = x3 - y3 - __FP_FRAC_SUB_4_c3;                                 \ | 
|---|
| 735 | r2 = __FP_FRAC_SUB_4_tmp[2];                                       \ | 
|---|
| 736 | r1 = __FP_FRAC_SUB_4_tmp[1];                                       \ | 
|---|
| 737 | r0 = __FP_FRAC_SUB_4_tmp[0];                                       \ | 
|---|
| 738 | }                                                                    \ | 
|---|
| 739 | while (0) | 
|---|
| 740 | #endif | 
|---|
| 741 |  | 
|---|
| 742 | #ifndef __FP_FRAC_DEC_3 | 
|---|
| 743 | # define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0)		\ | 
|---|
| 744 | do								\ | 
|---|
| 745 | {								\ | 
|---|
| 746 | UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1;		\ | 
|---|
| 747 | UWtype __FP_FRAC_DEC_3_t2;				\ | 
|---|
| 748 | __FP_FRAC_DEC_3_t0 = x0;					\ | 
|---|
| 749 | __FP_FRAC_DEC_3_t1 = x1;					\ | 
|---|
| 750 | __FP_FRAC_DEC_3_t2 = x2;					\ | 
|---|
| 751 | __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2,		\ | 
|---|
| 752 | __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0,	\ | 
|---|
| 753 | y2, y1, y0);				\ | 
|---|
| 754 | }								\ | 
|---|
| 755 | while (0) | 
|---|
| 756 | #endif | 
|---|
| 757 |  | 
|---|
| 758 | #ifndef __FP_FRAC_DEC_4 | 
|---|
| 759 | # define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0)	\ | 
|---|
| 760 | do								\ | 
|---|
| 761 | {								\ | 
|---|
| 762 | UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1;		\ | 
|---|
| 763 | UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3;		\ | 
|---|
| 764 | __FP_FRAC_DEC_4_t0 = x0;					\ | 
|---|
| 765 | __FP_FRAC_DEC_4_t1 = x1;					\ | 
|---|
| 766 | __FP_FRAC_DEC_4_t2 = x2;					\ | 
|---|
| 767 | __FP_FRAC_DEC_4_t3 = x3;					\ | 
|---|
| 768 | __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3,	\ | 
|---|
| 769 | __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1,	\ | 
|---|
| 770 | __FP_FRAC_DEC_4_t0, y3, y2, y1, y0);	\ | 
|---|
| 771 | }								\ | 
|---|
| 772 | while (0) | 
|---|
| 773 | #endif | 
|---|
| 774 |  | 
|---|
| 775 | #ifndef __FP_FRAC_ADDI_4 | 
|---|
| 776 | # define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i)		\ | 
|---|
| 777 | do							\ | 
|---|
| 778 | {							\ | 
|---|
| 779 | UWtype __FP_FRAC_ADDI_4_t;			\ | 
|---|
| 780 | __FP_FRAC_ADDI_4_t = ((x0 += i) < i);		\ | 
|---|
| 781 | x1 += __FP_FRAC_ADDI_4_t;				\ | 
|---|
| 782 | __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t);	\ | 
|---|
| 783 | x2 += __FP_FRAC_ADDI_4_t;				\ | 
|---|
| 784 | __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t);	\ | 
|---|
| 785 | x3 += __FP_FRAC_ADDI_4_t;				\ | 
|---|
| 786 | }							\ | 
|---|
| 787 | while (0) | 
|---|
| 788 | #endif | 
|---|
| 789 |  | 
|---|
| 790 | /* Convert FP values between word sizes. This appears to be more | 
|---|
| 791 | complicated than I'd have expected it to be, so these might be | 
|---|
| 792 | wrong... These macros are in any case somewhat bogus because they | 
|---|
| 793 | use information about what various FRAC_n variables look like | 
|---|
| 794 | internally [eg, that 2 word vars are X_f0 and x_f1]. But so do | 
|---|
| 795 | the ones in op-2.h and op-1.h.  */ | 
|---|
| 796 | #define _FP_FRAC_COPY_1_4(D, S)		(D##_f = S##_f[0]) | 
|---|
| 797 |  | 
|---|
| 798 | #define _FP_FRAC_COPY_2_4(D, S)			\ | 
|---|
| 799 | do						\ | 
|---|
| 800 | {						\ | 
|---|
| 801 | D##_f0 = S##_f[0];			\ | 
|---|
| 802 | D##_f1 = S##_f[1];			\ | 
|---|
| 803 | }						\ | 
|---|
| 804 | while (0) | 
|---|
| 805 |  | 
|---|
| 806 | /* Assembly/disassembly for converting to/from integral types. | 
|---|
| 807 | No shifting or overflow handled here.  */ | 
|---|
| 808 | /* Put the FP value X into r, which is an integer of size rsize.  */ | 
|---|
| 809 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize)				\ | 
|---|
| 810 | do									\ | 
|---|
| 811 | {									\ | 
|---|
| 812 | if ((rsize) <= _FP_W_TYPE_SIZE)					\ | 
|---|
| 813 | (r) = X##_f[0];							\ | 
|---|
| 814 | else if ((rsize) <= 2*_FP_W_TYPE_SIZE)				\ | 
|---|
| 815 | {								\ | 
|---|
| 816 | (r) = X##_f[1];						\ | 
|---|
| 817 | (r) = ((rsize) <= _FP_W_TYPE_SIZE				\ | 
|---|
| 818 | ? 0							\ | 
|---|
| 819 | : (r) << _FP_W_TYPE_SIZE);				\ | 
|---|
| 820 | (r) += X##_f[0];						\ | 
|---|
| 821 | }								\ | 
|---|
| 822 | else								\ | 
|---|
| 823 | {								\ | 
|---|
| 824 | /* I'm feeling lazy so we deal with int == 3words		\ | 
|---|
| 825 | (implausible) and int == 4words as a single case.  */	\ | 
|---|
| 826 | (r) = X##_f[3];						\ | 
|---|
| 827 | (r) = ((rsize) <= _FP_W_TYPE_SIZE				\ | 
|---|
| 828 | ? 0							\ | 
|---|
| 829 | : (r) << _FP_W_TYPE_SIZE);				\ | 
|---|
| 830 | (r) += X##_f[2];						\ | 
|---|
| 831 | (r) = ((rsize) <= _FP_W_TYPE_SIZE				\ | 
|---|
| 832 | ? 0							\ | 
|---|
| 833 | : (r) << _FP_W_TYPE_SIZE);				\ | 
|---|
| 834 | (r) += X##_f[1];						\ | 
|---|
| 835 | (r) = ((rsize) <= _FP_W_TYPE_SIZE				\ | 
|---|
| 836 | ? 0							\ | 
|---|
| 837 | : (r) << _FP_W_TYPE_SIZE);				\ | 
|---|
| 838 | (r) += X##_f[0];						\ | 
|---|
| 839 | }								\ | 
|---|
| 840 | }									\ | 
|---|
| 841 | while (0) | 
|---|
| 842 |  | 
|---|
| 843 | /* "No disassemble Number Five!" */ | 
|---|
| 844 | /* Move an integer of size rsize into X's fractional part. We rely on | 
|---|
| 845 | the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid | 
|---|
| 846 | having to mask the values we store into it.  */ | 
|---|
| 847 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize)	\ | 
|---|
| 848 | do						\ | 
|---|
| 849 | {						\ | 
|---|
| 850 | X##_f[0] = (r);				\ | 
|---|
| 851 | X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE	\ | 
|---|
| 852 | ? 0				\ | 
|---|
| 853 | : (r) >> _FP_W_TYPE_SIZE);	\ | 
|---|
| 854 | X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE	\ | 
|---|
| 855 | ? 0				\ | 
|---|
| 856 | : (r) >> 2*_FP_W_TYPE_SIZE);	\ | 
|---|
| 857 | X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE	\ | 
|---|
| 858 | ? 0				\ | 
|---|
| 859 | : (r) >> 3*_FP_W_TYPE_SIZE);	\ | 
|---|
| 860 | }						\ | 
|---|
| 861 | while (0) | 
|---|
| 862 |  | 
|---|
| 863 | #define _FP_FRAC_COPY_4_1(D, S)			\ | 
|---|
| 864 | do						\ | 
|---|
| 865 | {						\ | 
|---|
| 866 | D##_f[0] = S##_f;				\ | 
|---|
| 867 | D##_f[1] = D##_f[2] = D##_f[3] = 0;	\ | 
|---|
| 868 | }						\ | 
|---|
| 869 | while (0) | 
|---|
| 870 |  | 
|---|
| 871 | #define _FP_FRAC_COPY_4_2(D, S)			\ | 
|---|
| 872 | do						\ | 
|---|
| 873 | {						\ | 
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| 874 | D##_f[0] = S##_f0;			\ | 
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| 875 | D##_f[1] = S##_f1;			\ | 
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| 876 | D##_f[2] = D##_f[3] = 0;			\ | 
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| 877 | }						\ | 
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| 878 | while (0) | 
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| 879 |  | 
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| 880 | #define _FP_FRAC_COPY_4_4(D, S)	_FP_FRAC_COPY_4 (D, S) | 
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| 881 |  | 
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| 882 | #endif /* !SOFT_FP_OP_4_H */ | 
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| 883 |  | 
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