xref: /optee_os/lib/libmbedtls/mbedtls/library/constant_time_impl.h (revision c3deb3d6f3b13d0e17fc9efe5880aec039e47594)
1 /**
2  *  Constant-time functions
3  *
4  *  Copyright The Mbed TLS Contributors
5  *  SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
6  */
7 
8 #ifndef MBEDTLS_CONSTANT_TIME_IMPL_H
9 #define MBEDTLS_CONSTANT_TIME_IMPL_H
10 
11 #include <stddef.h>
12 
13 #include "common.h"
14 
15 #if defined(MBEDTLS_BIGNUM_C)
16 #include "mbedtls/bignum.h"
17 #endif
18 
19 /*
20  * To improve readability of constant_time_internal.h, the static inline
21  * definitions are here, and constant_time_internal.h has only the declarations.
22  *
23  * This results in duplicate declarations of the form:
24  *     static inline void f();         // from constant_time_internal.h
25  *     static inline void f() { ... }  // from constant_time_impl.h
26  * when constant_time_internal.h is included.
27  *
28  * This appears to behave as if the declaration-without-definition was not present
29  * (except for warnings if gcc -Wredundant-decls or similar is used).
30  *
31  * Disable -Wredundant-decls so that gcc does not warn about this. This is re-enabled
32  * at the bottom of this file.
33  */
34 #if defined(MBEDTLS_COMPILER_IS_GCC) && (__GNUC__ > 4)
35     #pragma GCC diagnostic push
36     #pragma GCC diagnostic ignored "-Wredundant-decls"
37 #endif
38 
39 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
40 #if defined(MBEDTLS_HAVE_ASM) && defined(__GNUC__) && (!defined(__ARMCC_VERSION) || \
41     __ARMCC_VERSION >= 6000000)
42 #define MBEDTLS_CT_ASM
43 #if (defined(__arm__) || defined(__thumb__) || defined(__thumb2__))
44 #define MBEDTLS_CT_ARM_ASM
45 #elif defined(__aarch64__)
46 #define MBEDTLS_CT_AARCH64_ASM
47 #elif defined(__amd64__) || defined(__x86_64__)
48 #define MBEDTLS_CT_X86_64_ASM
49 #elif defined(__i386__)
50 #define MBEDTLS_CT_X86_ASM
51 #endif
52 #endif
53 
54 #define MBEDTLS_CT_SIZE (sizeof(mbedtls_ct_uint_t) * 8)
55 
56 
57 /* ============================================================================
58  * Core const-time primitives
59  */
60 
61 /* Ensure that the compiler cannot know the value of x (i.e., cannot optimise
62  * based on its value) after this function is called.
63  *
64  * If we are not using assembly, this will be fairly inefficient, so its use
65  * should be minimised.
66  */
67 
68 #if !defined(MBEDTLS_CT_ASM)
69 extern volatile mbedtls_ct_uint_t mbedtls_ct_zero;
70 #endif
71 
72 /**
73  * \brief   Ensure that a value cannot be known at compile time.
74  *
75  * \param x        The value to hide from the compiler.
76  * \return         The same value that was passed in, such that the compiler
77  *                 cannot prove its value (even for calls of the form
78  *                 x = mbedtls_ct_compiler_opaque(1), x will be unknown).
79  *
80  * \note           This is mainly used in constructing mbedtls_ct_condition_t
81  *                 values and performing operations over them, to ensure that
82  *                 there is no way for the compiler to ever know anything about
83  *                 the value of an mbedtls_ct_condition_t.
84  */
mbedtls_ct_compiler_opaque(mbedtls_ct_uint_t x)85 static inline mbedtls_ct_uint_t mbedtls_ct_compiler_opaque(mbedtls_ct_uint_t x)
86 {
87 #if defined(MBEDTLS_CT_ASM)
88     asm volatile ("" : [x] "+r" (x) :);
89     return x;
90 #else
91     return x ^ mbedtls_ct_zero;
92 #endif
93 }
94 
95 /*
96  * Selecting unified syntax is needed for gcc, and harmless on clang.
97  *
98  * This is needed because on Thumb 1, condition flags are always set, so
99  * e.g. "negs" is supported but "neg" is not (on Thumb 2, both exist).
100  *
101  * Under Thumb 1 unified syntax, only the "negs" form is accepted, and
102  * under divided syntax, only the "neg" form is accepted. clang only
103  * supports unified syntax.
104  *
105  * On Thumb 2 and Arm, both compilers are happy with the "s" suffix,
106  * although we don't actually care about setting the flags.
107  *
108  * For old versions of gcc (see #8516 for details), restore divided
109  * syntax afterwards - otherwise old versions of gcc seem to apply
110  * unified syntax globally, which breaks other asm code.
111  */
112 #if defined(MBEDTLS_COMPILER_IS_GCC) && defined(__thumb__) && !defined(__thumb2__) && \
113     (__GNUC__ < 11) && !defined(__ARM_ARCH_2__)
114 #define RESTORE_ASM_SYNTAX  ".syntax divided                      \n\t"
115 #else
116 #define RESTORE_ASM_SYNTAX
117 #endif
118 
119 /* Convert a number into a condition in constant time. */
mbedtls_ct_bool(mbedtls_ct_uint_t x)120 static inline mbedtls_ct_condition_t mbedtls_ct_bool(mbedtls_ct_uint_t x)
121 {
122     /*
123      * Define mask-generation code that, as far as possible, will not use branches or conditional instructions.
124      *
125      * For some platforms / type sizes, we define assembly to assure this.
126      *
127      * Otherwise, we define a plain C fallback which (in May 2023) does not get optimised into
128      * conditional instructions or branches by trunk clang, gcc, or MSVC v19.
129      */
130 #if defined(MBEDTLS_CT_AARCH64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
131     mbedtls_ct_uint_t s;
132     asm volatile ("neg %x[s], %x[x]                               \n\t"
133                   "orr %x[x], %x[s], %x[x]                        \n\t"
134                   "asr %x[x], %x[x], 63                           \n\t"
135                   :
136                   [s] "=&r" (s),
137                   [x] "+&r" (x)
138                   :
139                   :
140                   );
141     return (mbedtls_ct_condition_t) x;
142 #elif defined(MBEDTLS_CT_ARM_ASM) && defined(MBEDTLS_CT_SIZE_32)
143     uint32_t s;
144     asm volatile (".syntax unified                                \n\t"
145                   "negs %[s], %[x]                                \n\t"
146                   "orrs %[x], %[x], %[s]                          \n\t"
147                   "asrs %[x], %[x], #31                           \n\t"
148                   RESTORE_ASM_SYNTAX
149                   :
150                   [s] "=&l" (s),
151                   [x] "+&l" (x)
152                   :
153                   :
154                   "cc" /* clobbers flag bits */
155                   );
156     return (mbedtls_ct_condition_t) x;
157 #elif defined(MBEDTLS_CT_X86_64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
158     uint64_t s;
159     asm volatile ("mov  %[x], %[s]                                \n\t"
160                   "neg  %[s]                                      \n\t"
161                   "or   %[x], %[s]                                \n\t"
162                   "sar  $63, %[s]                                 \n\t"
163                   :
164                   [s] "=&a" (s)
165                   :
166                   [x] "D" (x)
167                   :
168                   );
169     return (mbedtls_ct_condition_t) s;
170 #elif defined(MBEDTLS_CT_X86_ASM) && defined(MBEDTLS_CT_SIZE_32)
171     uint32_t s;
172     asm volatile ("mov %[x], %[s]                                 \n\t"
173                   "neg %[s]                                       \n\t"
174                   "or %[s], %[x]                                  \n\t"
175                   "sar $31, %[x]                                  \n\t"
176                   :
177                   [s] "=&c" (s),
178                   [x] "+&a" (x)
179                   :
180                   :
181                   );
182     return (mbedtls_ct_condition_t) x;
183 #else
184     const mbedtls_ct_uint_t xo = mbedtls_ct_compiler_opaque(x);
185 #if defined(_MSC_VER)
186     /* MSVC has a warning about unary minus on unsigned, but this is
187      * well-defined and precisely what we want to do here */
188 #pragma warning( push )
189 #pragma warning( disable : 4146 )
190 #endif
191     // y is negative (i.e., top bit set) iff x is non-zero
192     mbedtls_ct_int_t y = (-xo) | -(xo >> 1);
193 
194     // extract only the sign bit of y so that y == 1 (if x is non-zero) or 0 (if x is zero)
195     y = (((mbedtls_ct_uint_t) y) >> (MBEDTLS_CT_SIZE - 1));
196 
197     // -y has all bits set (if x is non-zero), or all bits clear (if x is zero)
198     return (mbedtls_ct_condition_t) (-y);
199 #if defined(_MSC_VER)
200 #pragma warning( pop )
201 #endif
202 #endif
203 }
204 
mbedtls_ct_if(mbedtls_ct_condition_t condition,mbedtls_ct_uint_t if1,mbedtls_ct_uint_t if0)205 static inline mbedtls_ct_uint_t mbedtls_ct_if(mbedtls_ct_condition_t condition,
206                                               mbedtls_ct_uint_t if1,
207                                               mbedtls_ct_uint_t if0)
208 {
209 #if defined(MBEDTLS_CT_AARCH64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
210     asm volatile ("and %x[if1], %x[if1], %x[condition]            \n\t"
211                   "mvn %x[condition], %x[condition]               \n\t"
212                   "and %x[condition], %x[condition], %x[if0]      \n\t"
213                   "orr %x[condition], %x[if1], %x[condition]"
214                   :
215                   [condition] "+&r" (condition),
216                   [if1] "+&r" (if1)
217                   :
218                   [if0] "r" (if0)
219                   :
220                   );
221     return (mbedtls_ct_uint_t) condition;
222 #elif defined(MBEDTLS_CT_ARM_ASM) && defined(MBEDTLS_CT_SIZE_32)
223     asm volatile (".syntax unified                                \n\t"
224                   "ands %[if1], %[if1], %[condition]              \n\t"
225                   "mvns %[condition], %[condition]                \n\t"
226                   "ands %[condition], %[condition], %[if0]        \n\t"
227                   "orrs %[condition], %[if1], %[condition]        \n\t"
228                   RESTORE_ASM_SYNTAX
229                   :
230                   [condition] "+&l" (condition),
231                   [if1] "+&l" (if1)
232                   :
233                   [if0] "l" (if0)
234                   :
235                   "cc"
236                   );
237     return (mbedtls_ct_uint_t) condition;
238 #elif defined(MBEDTLS_CT_X86_64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
239     asm volatile ("and  %[condition], %[if1]                      \n\t"
240                   "not  %[condition]                              \n\t"
241                   "and  %[condition], %[if0]                      \n\t"
242                   "or   %[if1], %[if0]                            \n\t"
243                   :
244                   [condition] "+&D" (condition),
245                   [if1] "+&S" (if1),
246                   [if0] "+&a" (if0)
247                   :
248                   :
249                   );
250     return if0;
251 #elif defined(MBEDTLS_CT_X86_ASM) && defined(MBEDTLS_CT_SIZE_32)
252     asm volatile ("and %[condition], %[if1]                       \n\t"
253                   "not %[condition]                               \n\t"
254                   "and %[if0], %[condition]                       \n\t"
255                   "or %[condition], %[if1]                        \n\t"
256                   :
257                   [condition] "+&c" (condition),
258                   [if1] "+&a" (if1)
259                   :
260                   [if0] "b" (if0)
261                   :
262                   );
263     return if1;
264 #else
265     mbedtls_ct_condition_t not_cond =
266         (mbedtls_ct_condition_t) (~mbedtls_ct_compiler_opaque(condition));
267     return (mbedtls_ct_uint_t) ((condition & if1) | (not_cond & if0));
268 #endif
269 }
270 
mbedtls_ct_uint_lt(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)271 static inline mbedtls_ct_condition_t mbedtls_ct_uint_lt(mbedtls_ct_uint_t x, mbedtls_ct_uint_t y)
272 {
273 #if defined(MBEDTLS_CT_AARCH64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
274     uint64_t s1;
275     asm volatile ("eor     %x[s1], %x[y], %x[x]                   \n\t"
276                   "sub     %x[x], %x[x], %x[y]                    \n\t"
277                   "bic     %x[x], %x[x], %x[s1]                   \n\t"
278                   "and     %x[s1], %x[s1], %x[y]                  \n\t"
279                   "orr     %x[s1], %x[x], %x[s1]                  \n\t"
280                   "asr     %x[x], %x[s1], 63"
281                   :
282                   [s1] "=&r" (s1),
283                   [x] "+&r" (x)
284                   :
285                   [y] "r" (y)
286                   :
287                   );
288     return (mbedtls_ct_condition_t) x;
289 #elif defined(MBEDTLS_CT_ARM_ASM) && defined(MBEDTLS_CT_SIZE_32)
290     uint32_t s1;
291     asm volatile (
292         ".syntax unified                                          \n\t"
293 #if defined(__thumb__) && !defined(__thumb2__)
294         "movs     %[s1], %[x]                                     \n\t"
295         "eors     %[s1], %[s1], %[y]                              \n\t"
296 #else
297         "eors     %[s1], %[x], %[y]                               \n\t"
298 #endif
299         "subs    %[x], %[x], %[y]                                 \n\t"
300         "bics    %[x], %[x], %[s1]                                \n\t"
301         "ands    %[y], %[s1], %[y]                                \n\t"
302         "orrs    %[x], %[x], %[y]                                 \n\t"
303         "asrs    %[x], %[x], #31                                  \n\t"
304         RESTORE_ASM_SYNTAX
305         :
306         [s1] "=&l" (s1),
307         [x] "+&l" (x),
308         [y] "+&l" (y)
309         :
310         :
311         "cc"
312         );
313     return (mbedtls_ct_condition_t) x;
314 #elif defined(MBEDTLS_CT_X86_64_ASM) && (defined(MBEDTLS_CT_SIZE_32) || defined(MBEDTLS_CT_SIZE_64))
315     uint64_t s;
316     asm volatile ("mov %[x], %[s]                                 \n\t"
317                   "xor %[y], %[s]                                 \n\t"
318                   "sub %[y], %[x]                                 \n\t"
319                   "and %[s], %[y]                                 \n\t"
320                   "not %[s]                                       \n\t"
321                   "and %[s], %[x]                                 \n\t"
322                   "or %[y], %[x]                                  \n\t"
323                   "sar $63, %[x]                                  \n\t"
324                   :
325                   [s] "=&a" (s),
326                   [x] "+&D" (x),
327                   [y] "+&S" (y)
328                   :
329                   :
330                   );
331     return (mbedtls_ct_condition_t) x;
332 #elif defined(MBEDTLS_CT_X86_ASM) && defined(MBEDTLS_CT_SIZE_32)
333     uint32_t s;
334     asm volatile ("mov %[x], %[s]                                 \n\t"
335                   "xor %[y], %[s]                                 \n\t"
336                   "sub %[y], %[x]                                 \n\t"
337                   "and %[s], %[y]                                 \n\t"
338                   "not %[s]                                       \n\t"
339                   "and %[s], %[x]                                 \n\t"
340                   "or  %[y], %[x]                                 \n\t"
341                   "sar $31, %[x]                                  \n\t"
342                   :
343                   [s] "=&b" (s),
344                   [x] "+&a" (x),
345                   [y] "+&c" (y)
346                   :
347                   :
348                   );
349     return (mbedtls_ct_condition_t) x;
350 #else
351     /* Ensure that the compiler cannot optimise the following operations over x and y,
352      * even if it knows the value of x and y.
353      */
354     const mbedtls_ct_uint_t xo = mbedtls_ct_compiler_opaque(x);
355     const mbedtls_ct_uint_t yo = mbedtls_ct_compiler_opaque(y);
356     /*
357      * Check if the most significant bits (MSB) of the operands are different.
358      * cond is true iff the MSBs differ.
359      */
360     mbedtls_ct_condition_t cond = mbedtls_ct_bool((xo ^ yo) >> (MBEDTLS_CT_SIZE - 1));
361 
362     /*
363      * If the MSB are the same then the difference x-y will be negative (and
364      * have its MSB set to 1 during conversion to unsigned) if and only if x<y.
365      *
366      * If the MSB are different, then the operand with the MSB of 1 is the
367      * bigger. (That is if y has MSB of 1, then x<y is true and it is false if
368      * the MSB of y is 0.)
369      */
370 
371     // Select either y, or x - y
372     mbedtls_ct_uint_t ret = mbedtls_ct_if(cond, yo, (mbedtls_ct_uint_t) (xo - yo));
373 
374     // Extract only the MSB of ret
375     ret = ret >> (MBEDTLS_CT_SIZE - 1);
376 
377     // Convert to a condition (i.e., all bits set iff non-zero)
378     return mbedtls_ct_bool(ret);
379 #endif
380 }
381 
mbedtls_ct_uint_ne(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)382 static inline mbedtls_ct_condition_t mbedtls_ct_uint_ne(mbedtls_ct_uint_t x, mbedtls_ct_uint_t y)
383 {
384     /* diff = 0 if x == y, non-zero otherwise */
385     const mbedtls_ct_uint_t diff = mbedtls_ct_compiler_opaque(x) ^ mbedtls_ct_compiler_opaque(y);
386 
387     /* all ones if x != y, 0 otherwise */
388     return mbedtls_ct_bool(diff);
389 }
390 
mbedtls_ct_uchar_in_range_if(unsigned char low,unsigned char high,unsigned char c,unsigned char t)391 static inline unsigned char mbedtls_ct_uchar_in_range_if(unsigned char low,
392                                                          unsigned char high,
393                                                          unsigned char c,
394                                                          unsigned char t)
395 {
396     const unsigned char co = (unsigned char) mbedtls_ct_compiler_opaque(c);
397     const unsigned char to = (unsigned char) mbedtls_ct_compiler_opaque(t);
398 
399     /* low_mask is: 0 if low <= c, 0x...ff if low > c */
400     unsigned low_mask = ((unsigned) co - low) >> 8;
401     /* high_mask is: 0 if c <= high, 0x...ff if c > high */
402     unsigned high_mask = ((unsigned) high - co) >> 8;
403 
404     return (unsigned char) (~(low_mask | high_mask)) & to;
405 }
406 
407 /* ============================================================================
408  * Everything below here is trivial wrapper functions
409  */
410 
mbedtls_ct_size_if(mbedtls_ct_condition_t condition,size_t if1,size_t if0)411 static inline size_t mbedtls_ct_size_if(mbedtls_ct_condition_t condition,
412                                         size_t if1,
413                                         size_t if0)
414 {
415     return (size_t) mbedtls_ct_if(condition, (mbedtls_ct_uint_t) if1, (mbedtls_ct_uint_t) if0);
416 }
417 
mbedtls_ct_uint_if(mbedtls_ct_condition_t condition,unsigned if1,unsigned if0)418 static inline unsigned mbedtls_ct_uint_if(mbedtls_ct_condition_t condition,
419                                           unsigned if1,
420                                           unsigned if0)
421 {
422     return (unsigned) mbedtls_ct_if(condition, (mbedtls_ct_uint_t) if1, (mbedtls_ct_uint_t) if0);
423 }
424 
mbedtls_ct_bool_if(mbedtls_ct_condition_t condition,mbedtls_ct_condition_t if1,mbedtls_ct_condition_t if0)425 static inline mbedtls_ct_condition_t mbedtls_ct_bool_if(mbedtls_ct_condition_t condition,
426                                                         mbedtls_ct_condition_t if1,
427                                                         mbedtls_ct_condition_t if0)
428 {
429     return (mbedtls_ct_condition_t) mbedtls_ct_if(condition, (mbedtls_ct_uint_t) if1,
430                                                   (mbedtls_ct_uint_t) if0);
431 }
432 
433 #if defined(MBEDTLS_BIGNUM_C)
434 
mbedtls_ct_mpi_uint_if(mbedtls_ct_condition_t condition,mbedtls_mpi_uint if1,mbedtls_mpi_uint if0)435 static inline mbedtls_mpi_uint mbedtls_ct_mpi_uint_if(mbedtls_ct_condition_t condition,
436                                                       mbedtls_mpi_uint if1,
437                                                       mbedtls_mpi_uint if0)
438 {
439     return (mbedtls_mpi_uint) mbedtls_ct_if(condition,
440                                             (mbedtls_ct_uint_t) if1,
441                                             (mbedtls_ct_uint_t) if0);
442 }
443 
444 #endif
445 
mbedtls_ct_size_if_else_0(mbedtls_ct_condition_t condition,size_t if1)446 static inline size_t mbedtls_ct_size_if_else_0(mbedtls_ct_condition_t condition, size_t if1)
447 {
448     return (size_t) (condition & if1);
449 }
450 
mbedtls_ct_uint_if_else_0(mbedtls_ct_condition_t condition,unsigned if1)451 static inline unsigned mbedtls_ct_uint_if_else_0(mbedtls_ct_condition_t condition, unsigned if1)
452 {
453     return (unsigned) (condition & if1);
454 }
455 
mbedtls_ct_bool_if_else_0(mbedtls_ct_condition_t condition,mbedtls_ct_condition_t if1)456 static inline mbedtls_ct_condition_t mbedtls_ct_bool_if_else_0(mbedtls_ct_condition_t condition,
457                                                                mbedtls_ct_condition_t if1)
458 {
459     return (mbedtls_ct_condition_t) (condition & if1);
460 }
461 
462 #if defined(MBEDTLS_BIGNUM_C)
463 
mbedtls_ct_mpi_uint_if_else_0(mbedtls_ct_condition_t condition,mbedtls_mpi_uint if1)464 static inline mbedtls_mpi_uint mbedtls_ct_mpi_uint_if_else_0(mbedtls_ct_condition_t condition,
465                                                              mbedtls_mpi_uint if1)
466 {
467     return (mbedtls_mpi_uint) (condition & if1);
468 }
469 
470 #endif /* MBEDTLS_BIGNUM_C */
471 
mbedtls_ct_error_if(mbedtls_ct_condition_t condition,int if1,int if0)472 static inline int mbedtls_ct_error_if(mbedtls_ct_condition_t condition, int if1, int if0)
473 {
474     /* Coverting int -> uint -> int here is safe, because we require if1 and if0 to be
475      * in the range -32767..0, and we require 32-bit int and uint types.
476      *
477      * This means that (0 <= -if0 < INT_MAX), so negating if0 is safe, and similarly for
478      * converting back to int.
479      */
480     return -((int) mbedtls_ct_if(condition, (mbedtls_ct_uint_t) (-if1),
481                                  (mbedtls_ct_uint_t) (-if0)));
482 }
483 
mbedtls_ct_error_if_else_0(mbedtls_ct_condition_t condition,int if1)484 static inline int mbedtls_ct_error_if_else_0(mbedtls_ct_condition_t condition, int if1)
485 {
486     return -((int) (condition & (-if1)));
487 }
488 
mbedtls_ct_uint_eq(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)489 static inline mbedtls_ct_condition_t mbedtls_ct_uint_eq(mbedtls_ct_uint_t x,
490                                                         mbedtls_ct_uint_t y)
491 {
492     return ~mbedtls_ct_uint_ne(x, y);
493 }
494 
mbedtls_ct_uint_gt(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)495 static inline mbedtls_ct_condition_t mbedtls_ct_uint_gt(mbedtls_ct_uint_t x,
496                                                         mbedtls_ct_uint_t y)
497 {
498     return mbedtls_ct_uint_lt(y, x);
499 }
500 
mbedtls_ct_uint_ge(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)501 static inline mbedtls_ct_condition_t mbedtls_ct_uint_ge(mbedtls_ct_uint_t x,
502                                                         mbedtls_ct_uint_t y)
503 {
504     return ~mbedtls_ct_uint_lt(x, y);
505 }
506 
mbedtls_ct_uint_le(mbedtls_ct_uint_t x,mbedtls_ct_uint_t y)507 static inline mbedtls_ct_condition_t mbedtls_ct_uint_le(mbedtls_ct_uint_t x,
508                                                         mbedtls_ct_uint_t y)
509 {
510     return ~mbedtls_ct_uint_gt(x, y);
511 }
512 
mbedtls_ct_bool_ne(mbedtls_ct_condition_t x,mbedtls_ct_condition_t y)513 static inline mbedtls_ct_condition_t mbedtls_ct_bool_ne(mbedtls_ct_condition_t x,
514                                                         mbedtls_ct_condition_t y)
515 {
516     return (mbedtls_ct_condition_t) (x ^ y);
517 }
518 
mbedtls_ct_bool_and(mbedtls_ct_condition_t x,mbedtls_ct_condition_t y)519 static inline mbedtls_ct_condition_t mbedtls_ct_bool_and(mbedtls_ct_condition_t x,
520                                                          mbedtls_ct_condition_t y)
521 {
522     return (mbedtls_ct_condition_t) (x & y);
523 }
524 
mbedtls_ct_bool_or(mbedtls_ct_condition_t x,mbedtls_ct_condition_t y)525 static inline mbedtls_ct_condition_t mbedtls_ct_bool_or(mbedtls_ct_condition_t x,
526                                                         mbedtls_ct_condition_t y)
527 {
528     return (mbedtls_ct_condition_t) (x | y);
529 }
530 
mbedtls_ct_bool_not(mbedtls_ct_condition_t x)531 static inline mbedtls_ct_condition_t mbedtls_ct_bool_not(mbedtls_ct_condition_t x)
532 {
533     return (mbedtls_ct_condition_t) (~x);
534 }
535 
536 #if defined(MBEDTLS_COMPILER_IS_GCC) && (__GNUC__ > 4)
537 /* Restore warnings for -Wredundant-decls on gcc */
538     #pragma GCC diagnostic pop
539 #endif
540 
541 #endif /* MBEDTLS_CONSTANT_TIME_IMPL_H */
542