Tianjia Zhang | a8ea8bd | 2020-09-21 00:20:55 +0800 | [diff] [blame] | 1 | /* mpi-add.c - MPI functions |
| 2 | * Copyright (C) 1994, 1996, 1998, 2001, 2002, |
| 3 | * 2003 Free Software Foundation, Inc. |
| 4 | * |
| 5 | * This file is part of Libgcrypt. |
| 6 | * |
| 7 | * Note: This code is heavily based on the GNU MP Library. |
| 8 | * Actually it's the same code with only minor changes in the |
| 9 | * way the data is stored; this is to support the abstraction |
| 10 | * of an optional secure memory allocation which may be used |
| 11 | * to avoid revealing of sensitive data due to paging etc. |
| 12 | */ |
| 13 | |
| 14 | #include "mpi-internal.h" |
| 15 | |
| 16 | /**************** |
| 17 | * Add the unsigned integer V to the mpi-integer U and store the |
| 18 | * result in W. U and V may be the same. |
| 19 | */ |
| 20 | void mpi_add_ui(MPI w, MPI u, unsigned long v) |
| 21 | { |
| 22 | mpi_ptr_t wp, up; |
| 23 | mpi_size_t usize, wsize; |
| 24 | int usign, wsign; |
| 25 | |
| 26 | usize = u->nlimbs; |
| 27 | usign = u->sign; |
| 28 | wsign = 0; |
| 29 | |
| 30 | /* If not space for W (and possible carry), increase space. */ |
| 31 | wsize = usize + 1; |
| 32 | if (w->alloced < wsize) |
| 33 | mpi_resize(w, wsize); |
| 34 | |
| 35 | /* These must be after realloc (U may be the same as W). */ |
| 36 | up = u->d; |
| 37 | wp = w->d; |
| 38 | |
| 39 | if (!usize) { /* simple */ |
| 40 | wp[0] = v; |
| 41 | wsize = v ? 1:0; |
| 42 | } else if (!usign) { /* mpi is not negative */ |
| 43 | mpi_limb_t cy; |
| 44 | cy = mpihelp_add_1(wp, up, usize, v); |
| 45 | wp[usize] = cy; |
| 46 | wsize = usize + cy; |
| 47 | } else { |
| 48 | /* The signs are different. Need exact comparison to determine |
| 49 | * which operand to subtract from which. |
| 50 | */ |
| 51 | if (usize == 1 && up[0] < v) { |
| 52 | wp[0] = v - up[0]; |
| 53 | wsize = 1; |
| 54 | } else { |
| 55 | mpihelp_sub_1(wp, up, usize, v); |
| 56 | /* Size can decrease with at most one limb. */ |
| 57 | wsize = usize - (wp[usize-1] == 0); |
| 58 | wsign = 1; |
| 59 | } |
| 60 | } |
| 61 | |
| 62 | w->nlimbs = wsize; |
| 63 | w->sign = wsign; |
| 64 | } |
| 65 | |
| 66 | |
| 67 | void mpi_add(MPI w, MPI u, MPI v) |
| 68 | { |
| 69 | mpi_ptr_t wp, up, vp; |
| 70 | mpi_size_t usize, vsize, wsize; |
| 71 | int usign, vsign, wsign; |
| 72 | |
| 73 | if (u->nlimbs < v->nlimbs) { /* Swap U and V. */ |
| 74 | usize = v->nlimbs; |
| 75 | usign = v->sign; |
| 76 | vsize = u->nlimbs; |
| 77 | vsign = u->sign; |
| 78 | wsize = usize + 1; |
| 79 | RESIZE_IF_NEEDED(w, wsize); |
| 80 | /* These must be after realloc (u or v may be the same as w). */ |
| 81 | up = v->d; |
| 82 | vp = u->d; |
| 83 | } else { |
| 84 | usize = u->nlimbs; |
| 85 | usign = u->sign; |
| 86 | vsize = v->nlimbs; |
| 87 | vsign = v->sign; |
| 88 | wsize = usize + 1; |
| 89 | RESIZE_IF_NEEDED(w, wsize); |
| 90 | /* These must be after realloc (u or v may be the same as w). */ |
| 91 | up = u->d; |
| 92 | vp = v->d; |
| 93 | } |
| 94 | wp = w->d; |
| 95 | wsign = 0; |
| 96 | |
| 97 | if (!vsize) { /* simple */ |
| 98 | MPN_COPY(wp, up, usize); |
| 99 | wsize = usize; |
| 100 | wsign = usign; |
| 101 | } else if (usign != vsign) { /* different sign */ |
| 102 | /* This test is right since USIZE >= VSIZE */ |
| 103 | if (usize != vsize) { |
| 104 | mpihelp_sub(wp, up, usize, vp, vsize); |
| 105 | wsize = usize; |
| 106 | MPN_NORMALIZE(wp, wsize); |
| 107 | wsign = usign; |
| 108 | } else if (mpihelp_cmp(up, vp, usize) < 0) { |
| 109 | mpihelp_sub_n(wp, vp, up, usize); |
| 110 | wsize = usize; |
| 111 | MPN_NORMALIZE(wp, wsize); |
| 112 | if (!usign) |
| 113 | wsign = 1; |
| 114 | } else { |
| 115 | mpihelp_sub_n(wp, up, vp, usize); |
| 116 | wsize = usize; |
| 117 | MPN_NORMALIZE(wp, wsize); |
| 118 | if (usign) |
| 119 | wsign = 1; |
| 120 | } |
| 121 | } else { /* U and V have same sign. Add them. */ |
| 122 | mpi_limb_t cy = mpihelp_add(wp, up, usize, vp, vsize); |
| 123 | wp[usize] = cy; |
| 124 | wsize = usize + cy; |
| 125 | if (usign) |
| 126 | wsign = 1; |
| 127 | } |
| 128 | |
| 129 | w->nlimbs = wsize; |
| 130 | w->sign = wsign; |
| 131 | } |
| 132 | EXPORT_SYMBOL_GPL(mpi_add); |
| 133 | |
| 134 | void mpi_sub(MPI w, MPI u, MPI v) |
| 135 | { |
| 136 | MPI vv = mpi_copy(v); |
| 137 | vv->sign = !vv->sign; |
| 138 | mpi_add(w, u, vv); |
| 139 | mpi_free(vv); |
| 140 | } |
| 141 | |
| 142 | |
| 143 | void mpi_addm(MPI w, MPI u, MPI v, MPI m) |
| 144 | { |
| 145 | mpi_add(w, u, v); |
| 146 | mpi_mod(w, w, m); |
| 147 | } |
| 148 | EXPORT_SYMBOL_GPL(mpi_addm); |
| 149 | |
| 150 | void mpi_subm(MPI w, MPI u, MPI v, MPI m) |
| 151 | { |
| 152 | mpi_sub(w, u, v); |
| 153 | mpi_mod(w, w, m); |
| 154 | } |
| 155 | EXPORT_SYMBOL_GPL(mpi_subm); |