1 /* SPDX-License-Identifier: GPL-2.0-or-later * 1 /* SPDX-License-Identifier: GPL-2.0-or-later */ 2 /* mpi-internal.h - Internal to the Multi Pr 2 /* mpi-internal.h - Internal to the Multi Precision Integers 3 * Copyright (C) 1994, 1996 Free Software 3 * Copyright (C) 1994, 1996 Free Software Foundation, Inc. 4 * Copyright (C) 1998, 2000 Free Software 4 * Copyright (C) 1998, 2000 Free Software Foundation, Inc. 5 * 5 * 6 * This file is part of GnuPG. 6 * This file is part of GnuPG. 7 * 7 * 8 * Note: This code is heavily based on the GNU 8 * Note: This code is heavily based on the GNU MP Library. 9 * Actually it's the same code with only 9 * Actually it's the same code with only minor changes in the 10 * way the data is stored; this is to su 10 * way the data is stored; this is to support the abstraction 11 * of an optional secure memory allocati 11 * of an optional secure memory allocation which may be used 12 * to avoid revealing of sensitive data 12 * to avoid revealing of sensitive data due to paging etc. 13 * The GNU MP Library itself is publishe 13 * The GNU MP Library itself is published under the LGPL; 14 * however I decided to publish this cod 14 * however I decided to publish this code under the plain GPL. 15 */ 15 */ 16 16 17 #ifndef G10_MPI_INTERNAL_H 17 #ifndef G10_MPI_INTERNAL_H 18 #define G10_MPI_INTERNAL_H 18 #define G10_MPI_INTERNAL_H 19 19 20 #include <linux/module.h> 20 #include <linux/module.h> 21 #include <linux/kernel.h> 21 #include <linux/kernel.h> 22 #include <linux/slab.h> 22 #include <linux/slab.h> 23 #include <linux/string.h> 23 #include <linux/string.h> 24 #include <linux/mpi.h> 24 #include <linux/mpi.h> 25 #include <linux/errno.h> 25 #include <linux/errno.h> 26 26 27 #define log_debug printk 27 #define log_debug printk 28 #define log_bug printk 28 #define log_bug printk 29 29 30 #define assert(x) \ 30 #define assert(x) \ 31 do { \ 31 do { \ 32 if (!x) \ 32 if (!x) \ 33 log_bug("failed assert 33 log_bug("failed assertion\n"); \ 34 } while (0); 34 } while (0); 35 35 36 /* If KARATSUBA_THRESHOLD is not already defin 36 /* If KARATSUBA_THRESHOLD is not already defined, define it to a 37 * value which is good on most machines. */ 37 * value which is good on most machines. */ 38 38 39 /* tested 4, 16, 32 and 64, where 16 gave the 39 /* tested 4, 16, 32 and 64, where 16 gave the best performance when 40 * checking a 768 and a 1024 bit ElGamal signa 40 * checking a 768 and a 1024 bit ElGamal signature. 41 * (wk 22.12.97) */ 41 * (wk 22.12.97) */ 42 #ifndef KARATSUBA_THRESHOLD 42 #ifndef KARATSUBA_THRESHOLD 43 #define KARATSUBA_THRESHOLD 16 43 #define KARATSUBA_THRESHOLD 16 44 #endif 44 #endif 45 45 46 /* The code can't handle KARATSUBA_THRESHOLD s 46 /* The code can't handle KARATSUBA_THRESHOLD smaller than 2. */ 47 #if KARATSUBA_THRESHOLD < 2 47 #if KARATSUBA_THRESHOLD < 2 48 #undef KARATSUBA_THRESHOLD 48 #undef KARATSUBA_THRESHOLD 49 #define KARATSUBA_THRESHOLD 2 49 #define KARATSUBA_THRESHOLD 2 50 #endif 50 #endif 51 51 52 typedef mpi_limb_t *mpi_ptr_t; /* pointer to 52 typedef mpi_limb_t *mpi_ptr_t; /* pointer to a limb */ 53 typedef int mpi_size_t; /* (must be a 53 typedef int mpi_size_t; /* (must be a signed type) */ 54 54 55 static inline int RESIZE_IF_NEEDED(MPI a, unsi 55 static inline int RESIZE_IF_NEEDED(MPI a, unsigned b) 56 { 56 { 57 if (a->alloced < b) 57 if (a->alloced < b) 58 return mpi_resize(a, b); 58 return mpi_resize(a, b); 59 return 0; 59 return 0; 60 } 60 } 61 61 62 /* Copy N limbs from S to D. */ 62 /* Copy N limbs from S to D. */ 63 #define MPN_COPY(d, s, n) \ 63 #define MPN_COPY(d, s, n) \ 64 do { 64 do { \ 65 mpi_size_t _i; 65 mpi_size_t _i; \ 66 for (_i = 0; _i < (n); _i++) 66 for (_i = 0; _i < (n); _i++) \ 67 (d)[_i] = (s)[_i]; 67 (d)[_i] = (s)[_i]; \ 68 } while (0) 68 } while (0) 69 69 70 #define MPN_COPY_DECR(d, s, n) \ 70 #define MPN_COPY_DECR(d, s, n) \ 71 do { 71 do { \ 72 mpi_size_t _i; 72 mpi_size_t _i; \ 73 for (_i = (n)-1; _i >= 0; _i-- 73 for (_i = (n)-1; _i >= 0; _i--) \ 74 (d)[_i] = (s)[_i]; 74 (d)[_i] = (s)[_i]; \ 75 } while (0) 75 } while (0) 76 76 77 /* Zero N limbs at D */ 77 /* Zero N limbs at D */ 78 #define MPN_ZERO(d, n) \ 78 #define MPN_ZERO(d, n) \ 79 do { 79 do { \ 80 int _i; 80 int _i; \ 81 for (_i = 0; _i < (n); _i++) 81 for (_i = 0; _i < (n); _i++) \ 82 (d)[_i] = 0; 82 (d)[_i] = 0; \ 83 } while (0) 83 } while (0) 84 84 85 #define MPN_NORMALIZE(d, n) \ 85 #define MPN_NORMALIZE(d, n) \ 86 do { 86 do { \ 87 while ((n) > 0) { 87 while ((n) > 0) { \ 88 if ((d)[(n)-1]) 88 if ((d)[(n)-1]) \ 89 break; 89 break; \ 90 (n)--; 90 (n)--; \ 91 } 91 } \ 92 } while (0) 92 } while (0) 93 93 94 #define MPN_MUL_N_RECURSE(prodp, up, vp, size, 94 #define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \ 95 do { 95 do { \ 96 if ((size) < KARATSUBA_THRESHO 96 if ((size) < KARATSUBA_THRESHOLD) \ 97 mul_n_basecase(prodp, 97 mul_n_basecase(prodp, up, vp, size); \ 98 else 98 else \ 99 mul_n(prodp, up, vp, s 99 mul_n(prodp, up, vp, size, tspace); \ 100 } while (0); 100 } while (0); 101 101 102 /* Divide the two-limb number in (NH,,NL) by D 102 /* Divide the two-limb number in (NH,,NL) by D, with DI being the largest 103 * limb not larger than (2**(2*BITS_PER_MP_LIM 103 * limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB). 104 * If this would yield overflow, DI should be 104 * If this would yield overflow, DI should be the largest possible number 105 * (i.e., only ones). For correct operation, 105 * (i.e., only ones). For correct operation, the most significant bit of D 106 * has to be set. Put the quotient in Q and t 106 * has to be set. Put the quotient in Q and the remainder in R. 107 */ 107 */ 108 #define UDIV_QRNND_PREINV(q, r, nh, nl, d, di) 108 #define UDIV_QRNND_PREINV(q, r, nh, nl, d, di) \ 109 do { 109 do { \ 110 mpi_limb_t _ql __maybe_unused; 110 mpi_limb_t _ql __maybe_unused; \ 111 mpi_limb_t _q, _r; 111 mpi_limb_t _q, _r; \ 112 mpi_limb_t _xh, _xl; 112 mpi_limb_t _xh, _xl; \ 113 umul_ppmm(_q, _ql, (nh), (di)) 113 umul_ppmm(_q, _ql, (nh), (di)); \ 114 _q += (nh); /* DI is 2**BI 114 _q += (nh); /* DI is 2**BITS_PER_MPI_LIMB too small */ \ 115 umul_ppmm(_xh, _xl, _q, (d)); 115 umul_ppmm(_xh, _xl, _q, (d)); \ 116 sub_ddmmss(_xh, _r, (nh), (nl) 116 sub_ddmmss(_xh, _r, (nh), (nl), _xh, _xl); \ 117 if (_xh) { 117 if (_xh) { \ 118 sub_ddmmss(_xh, _r, _x 118 sub_ddmmss(_xh, _r, _xh, _r, 0, (d)); \ 119 _q++; 119 _q++; \ 120 if (_xh) { 120 if (_xh) { \ 121 sub_ddmmss(_xh 121 sub_ddmmss(_xh, _r, _xh, _r, 0, (d)); \ 122 _q++; 122 _q++; \ 123 } 123 } \ 124 } 124 } \ 125 if (_r >= (d)) { 125 if (_r >= (d)) { \ 126 _r -= (d); 126 _r -= (d); \ 127 _q++; 127 _q++; \ 128 } 128 } \ 129 (r) = _r; 129 (r) = _r; \ 130 (q) = _q; 130 (q) = _q; \ 131 } while (0) 131 } while (0) 132 132 133 133 134 /*-- mpiutil.c --*/ 134 /*-- mpiutil.c --*/ 135 mpi_ptr_t mpi_alloc_limb_space(unsigned nlimbs 135 mpi_ptr_t mpi_alloc_limb_space(unsigned nlimbs); 136 void mpi_free_limb_space(mpi_ptr_t a); 136 void mpi_free_limb_space(mpi_ptr_t a); 137 void mpi_assign_limb_space(MPI a, mpi_ptr_t ap 137 void mpi_assign_limb_space(MPI a, mpi_ptr_t ap, unsigned nlimbs); 138 138 139 static inline mpi_limb_t mpihelp_add_1(mpi_ptr 139 static inline mpi_limb_t mpihelp_add_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 140 mpi_size_t s1_size, m 140 mpi_size_t s1_size, mpi_limb_t s2_limb); 141 mpi_limb_t mpihelp_add_n(mpi_ptr_t res_ptr, mp 141 mpi_limb_t mpihelp_add_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 142 mpi_ptr_t s2_ptr, mpi 142 mpi_ptr_t s2_ptr, mpi_size_t size); 143 static inline mpi_limb_t mpihelp_add(mpi_ptr_t 143 static inline mpi_limb_t mpihelp_add(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size, 144 mpi_ptr_t s2_ptr, mpi_s 144 mpi_ptr_t s2_ptr, mpi_size_t s2_size); 145 145 146 static inline mpi_limb_t mpihelp_sub_1(mpi_ptr 146 static inline mpi_limb_t mpihelp_sub_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 147 mpi_size_t s1_size, m 147 mpi_size_t s1_size, mpi_limb_t s2_limb); 148 mpi_limb_t mpihelp_sub_n(mpi_ptr_t res_ptr, mp 148 mpi_limb_t mpihelp_sub_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 149 mpi_ptr_t s2_ptr, mpi 149 mpi_ptr_t s2_ptr, mpi_size_t size); 150 static inline mpi_limb_t mpihelp_sub(mpi_ptr_t 150 static inline mpi_limb_t mpihelp_sub(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size, 151 mpi_ptr_t s2_ptr, mpi_s 151 mpi_ptr_t s2_ptr, mpi_size_t s2_size); 152 152 153 /*-- mpih-cmp.c --*/ 153 /*-- mpih-cmp.c --*/ 154 int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t o 154 int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t op2_ptr, mpi_size_t size); 155 155 156 /*-- mpih-mul.c --*/ 156 /*-- mpih-mul.c --*/ 157 157 158 struct karatsuba_ctx { 158 struct karatsuba_ctx { 159 struct karatsuba_ctx *next; 159 struct karatsuba_ctx *next; 160 mpi_ptr_t tspace; 160 mpi_ptr_t tspace; 161 mpi_size_t tspace_size; 161 mpi_size_t tspace_size; 162 mpi_ptr_t tp; 162 mpi_ptr_t tp; 163 mpi_size_t tp_size; 163 mpi_size_t tp_size; 164 }; 164 }; 165 165 166 void mpihelp_release_karatsuba_ctx(struct kara 166 void mpihelp_release_karatsuba_ctx(struct karatsuba_ctx *ctx); 167 167 168 mpi_limb_t mpihelp_addmul_1(mpi_ptr_t res_ptr, 168 mpi_limb_t mpihelp_addmul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 169 mpi_size_t s1_size 169 mpi_size_t s1_size, mpi_limb_t s2_limb); 170 mpi_limb_t mpihelp_submul_1(mpi_ptr_t res_ptr, 170 mpi_limb_t mpihelp_submul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 171 mpi_size_t s1_size 171 mpi_size_t s1_size, mpi_limb_t s2_limb); 172 int mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, 172 int mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize, 173 mpi_ptr_t vp, mpi_size_t vsize 173 mpi_ptr_t vp, mpi_size_t vsize, mpi_limb_t *_result); 174 void mpih_sqr_n_basecase(mpi_ptr_t prodp, mpi_ 174 void mpih_sqr_n_basecase(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size); 175 void mpih_sqr_n(mpi_ptr_t prodp, mpi_ptr_t up, 175 void mpih_sqr_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size, 176 mpi_ptr_t tspace); 176 mpi_ptr_t tspace); 177 177 178 int mpihelp_mul_karatsuba_case(mpi_ptr_t prodp 178 int mpihelp_mul_karatsuba_case(mpi_ptr_t prodp, 179 mpi_ptr_t up, m 179 mpi_ptr_t up, mpi_size_t usize, 180 mpi_ptr_t vp, m 180 mpi_ptr_t vp, mpi_size_t vsize, 181 struct karatsub 181 struct karatsuba_ctx *ctx); 182 182 183 /*-- generic_mpih-mul1.c --*/ 183 /*-- generic_mpih-mul1.c --*/ 184 mpi_limb_t mpihelp_mul_1(mpi_ptr_t res_ptr, mp 184 mpi_limb_t mpihelp_mul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, 185 mpi_size_t s1_size, m 185 mpi_size_t s1_size, mpi_limb_t s2_limb); 186 186 187 /*-- mpih-div.c --*/ 187 /*-- mpih-div.c --*/ 188 mpi_limb_t mpihelp_mod_1(mpi_ptr_t dividend_pt 188 mpi_limb_t mpihelp_mod_1(mpi_ptr_t dividend_ptr, mpi_size_t dividend_size, 189 mpi_limb_t divisor_li 189 mpi_limb_t divisor_limb); 190 mpi_limb_t mpihelp_divrem(mpi_ptr_t qp, mpi_si 190 mpi_limb_t mpihelp_divrem(mpi_ptr_t qp, mpi_size_t qextra_limbs, 191 mpi_ptr_t np, mpi_si 191 mpi_ptr_t np, mpi_size_t nsize, 192 mpi_ptr_t dp, mpi_si 192 mpi_ptr_t dp, mpi_size_t dsize); 193 mpi_limb_t mpihelp_divmod_1(mpi_ptr_t quot_ptr 193 mpi_limb_t mpihelp_divmod_1(mpi_ptr_t quot_ptr, 194 mpi_ptr_t dividend 194 mpi_ptr_t dividend_ptr, mpi_size_t dividend_size, 195 mpi_limb_t divisor 195 mpi_limb_t divisor_limb); 196 196 197 /*-- generic_mpih-[lr]shift.c --*/ 197 /*-- generic_mpih-[lr]shift.c --*/ 198 mpi_limb_t mpihelp_lshift(mpi_ptr_t wp, mpi_pt 198 mpi_limb_t mpihelp_lshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize, 199 unsigned cnt); 199 unsigned cnt); 200 mpi_limb_t mpihelp_rshift(mpi_ptr_t wp, mpi_pt 200 mpi_limb_t mpihelp_rshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize, 201 unsigned cnt); 201 unsigned cnt); 202 202 203 /* Define stuff for longlong.h. */ 203 /* Define stuff for longlong.h. */ 204 #define W_TYPE_SIZE BITS_PER_MPI_LIMB 204 #define W_TYPE_SIZE BITS_PER_MPI_LIMB 205 typedef mpi_limb_t UWtype; 205 typedef mpi_limb_t UWtype; 206 typedef unsigned int UHWtype; 206 typedef unsigned int UHWtype; 207 #if defined(__GNUC__) 207 #if defined(__GNUC__) 208 typedef unsigned int UQItype __attribute__ ((m 208 typedef unsigned int UQItype __attribute__ ((mode(QI))); 209 typedef int SItype __attribute__ ((mode(SI))); 209 typedef int SItype __attribute__ ((mode(SI))); 210 typedef unsigned int USItype __attribute__ ((m 210 typedef unsigned int USItype __attribute__ ((mode(SI))); 211 typedef int DItype __attribute__ ((mode(DI))); 211 typedef int DItype __attribute__ ((mode(DI))); 212 typedef unsigned int UDItype __attribute__ ((m 212 typedef unsigned int UDItype __attribute__ ((mode(DI))); 213 #else 213 #else 214 typedef unsigned char UQItype; 214 typedef unsigned char UQItype; 215 typedef long SItype; 215 typedef long SItype; 216 typedef unsigned long USItype; 216 typedef unsigned long USItype; 217 #endif 217 #endif 218 218 219 #ifdef __GNUC__ 219 #ifdef __GNUC__ 220 #include "mpi-inline.h" 220 #include "mpi-inline.h" 221 #endif 221 #endif 222 222 223 #endif /*G10_MPI_INTERNAL_H */ 223 #endif /*G10_MPI_INTERNAL_H */ 224 224
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