/** * \file bn_mul.h * * \brief Multi-precision integer library */ /* * Copyright The Mbed TLS Contributors * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the "License"); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ /* * Multiply source vector [s] with b, add result * to destination vector [d] and set carry c. * * Currently supports: * * . IA-32 (386+) . AMD64 / EM64T * . IA-32 (SSE2) . Motorola 68000 * . PowerPC, 32-bit . MicroBlaze * . PowerPC, 64-bit . TriCore * . SPARC v8 . ARM v3+ * . Alpha . MIPS32 * . C, longlong . C, generic */ #ifndef MBEDTLS_BN_MUL_H #define MBEDTLS_BN_MUL_H #include "mbedtls/build_info.h" #include "mbedtls/bignum.h" /* * Conversion macros for embedded constants: * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2 */ #if defined(MBEDTLS_HAVE_INT32) #define MBEDTLS_BYTES_TO_T_UINT_4(a, b, c, d) \ ((mbedtls_mpi_uint) (a) << 0) | \ ((mbedtls_mpi_uint) (b) << 8) | \ ((mbedtls_mpi_uint) (c) << 16) | \ ((mbedtls_mpi_uint) (d) << 24) #define MBEDTLS_BYTES_TO_T_UINT_2(a, b) \ MBEDTLS_BYTES_TO_T_UINT_4(a, b, 0, 0) #define MBEDTLS_BYTES_TO_T_UINT_8(a, b, c, d, e, f, g, h) \ MBEDTLS_BYTES_TO_T_UINT_4(a, b, c, d), \ MBEDTLS_BYTES_TO_T_UINT_4(e, f, g, h) #else /* 64-bits */ #define MBEDTLS_BYTES_TO_T_UINT_8(a, b, c, d, e, f, g, h) \ ((mbedtls_mpi_uint) (a) << 0) | \ ((mbedtls_mpi_uint) (b) << 8) | \ ((mbedtls_mpi_uint) (c) << 16) | \ ((mbedtls_mpi_uint) (d) << 24) | \ ((mbedtls_mpi_uint) (e) << 32) | \ ((mbedtls_mpi_uint) (f) << 40) | \ ((mbedtls_mpi_uint) (g) << 48) | \ ((mbedtls_mpi_uint) (h) << 56) #define MBEDTLS_BYTES_TO_T_UINT_4(a, b, c, d) \ MBEDTLS_BYTES_TO_T_UINT_8(a, b, c, d, 0, 0, 0, 0) #define MBEDTLS_BYTES_TO_T_UINT_2(a, b) \ MBEDTLS_BYTES_TO_T_UINT_8(a, b, 0, 0, 0, 0, 0, 0) #endif /* bits in mbedtls_mpi_uint */ /* *INDENT-OFF* */ #if defined(MBEDTLS_HAVE_ASM) /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */ #if defined(__GNUC__) && \ ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 ) /* * GCC < 5.0 treated the x86 ebx (which is used for the GOT) as a * fixed reserved register when building as PIC, leading to errors * like: bn_mul.h:46:13: error: PIC register clobbered by 'ebx' in 'asm' * * This is fixed by an improved register allocator in GCC 5+. From the * release notes: * Register allocation improvements: Reuse of the PIC hard register, * instead of using a fixed register, was implemented on x86/x86-64 * targets. This improves generated PIC code performance as more hard * registers can be used. */ #if defined(__GNUC__) && __GNUC__ < 5 && defined(__PIC__) #define MULADDC_CANNOT_USE_EBX #endif /* * Disable use of the i386 assembly code below if option -O0, to disable all * compiler optimisations, is passed, detected with __OPTIMIZE__ * This is done as the number of registers used in the assembly code doesn't * work with the -O0 option. */ #if defined(__i386__) && defined(__OPTIMIZE__) && !defined(MULADDC_CANNOT_USE_EBX) #define MULADDC_X1_INIT \ { mbedtls_mpi_uint t; \ asm( \ "movl %%ebx, %0 \n\t" \ "movl %5, %%esi \n\t" \ "movl %6, %%edi \n\t" \ "movl %7, %%ecx \n\t" \ "movl %8, %%ebx \n\t" #define MULADDC_X1_CORE \ "lodsl \n\t" \ "mull %%ebx \n\t" \ "addl %%ecx, %%eax \n\t" \ "adcl $0, %%edx \n\t" \ "addl (%%edi), %%eax \n\t" \ "adcl $0, %%edx \n\t" \ "movl %%edx, %%ecx \n\t" \ "stosl \n\t" #define MULADDC_X1_STOP \ "movl %4, %%ebx \n\t" \ "movl %%ecx, %1 \n\t" \ "movl %%edi, %2 \n\t" \ "movl %%esi, %3 \n\t" \ : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ : "eax", "ebx", "ecx", "edx", "esi", "edi" \ ); } #if defined(MBEDTLS_HAVE_SSE2) #define MULADDC_X8_INIT MULADDC_X1_INIT #define MULADDC_X8_CORE \ "movd %%ecx, %%mm1 \n\t" \ "movd %%ebx, %%mm0 \n\t" \ "movd (%%edi), %%mm3 \n\t" \ "paddq %%mm3, %%mm1 \n\t" \ "movd (%%esi), %%mm2 \n\t" \ "pmuludq %%mm0, %%mm2 \n\t" \ "movd 4(%%esi), %%mm4 \n\t" \ "pmuludq %%mm0, %%mm4 \n\t" \ "movd 8(%%esi), %%mm6 \n\t" \ "pmuludq %%mm0, %%mm6 \n\t" \ "movd 12(%%esi), %%mm7 \n\t" \ "pmuludq %%mm0, %%mm7 \n\t" \ "paddq %%mm2, %%mm1 \n\t" \ "movd 4(%%edi), %%mm3 \n\t" \ "paddq %%mm4, %%mm3 \n\t" \ "movd 8(%%edi), %%mm5 \n\t" \ "paddq %%mm6, %%mm5 \n\t" \ "movd 12(%%edi), %%mm4 \n\t" \ "paddq %%mm4, %%mm7 \n\t" \ "movd %%mm1, (%%edi) \n\t" \ "movd 16(%%esi), %%mm2 \n\t" \ "pmuludq %%mm0, %%mm2 \n\t" \ "psrlq $32, %%mm1 \n\t" \ "movd 20(%%esi), %%mm4 \n\t" \ "pmuludq %%mm0, %%mm4 \n\t" \ "paddq %%mm3, %%mm1 \n\t" \ "movd 24(%%esi), %%mm6 \n\t" \ "pmuludq %%mm0, %%mm6 \n\t" \ "movd %%mm1, 4(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "movd 28(%%esi), %%mm3 \n\t" \ "pmuludq %%mm0, %%mm3 \n\t" \ "paddq %%mm5, %%mm1 \n\t" \ "movd 16(%%edi), %%mm5 \n\t" \ "paddq %%mm5, %%mm2 \n\t" \ "movd %%mm1, 8(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "paddq %%mm7, %%mm1 \n\t" \ "movd 20(%%edi), %%mm5 \n\t" \ "paddq %%mm5, %%mm4 \n\t" \ "movd %%mm1, 12(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "paddq %%mm2, %%mm1 \n\t" \ "movd 24(%%edi), %%mm5 \n\t" \ "paddq %%mm5, %%mm6 \n\t" \ "movd %%mm1, 16(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "paddq %%mm4, %%mm1 \n\t" \ "movd 28(%%edi), %%mm5 \n\t" \ "paddq %%mm5, %%mm3 \n\t" \ "movd %%mm1, 20(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "paddq %%mm6, %%mm1 \n\t" \ "movd %%mm1, 24(%%edi) \n\t" \ "psrlq $32, %%mm1 \n\t" \ "paddq %%mm3, %%mm1 \n\t" \ "movd %%mm1, 28(%%edi) \n\t" \ "addl $32, %%edi \n\t" \ "addl $32, %%esi \n\t" \ "psrlq $32, %%mm1 \n\t" \ "movd %%mm1, %%ecx \n\t" #define MULADDC_X8_STOP \ "emms \n\t" \ "movl %4, %%ebx \n\t" \ "movl %%ecx, %1 \n\t" \ "movl %%edi, %2 \n\t" \ "movl %%esi, %3 \n\t" \ : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ : "eax", "ebx", "ecx", "edx", "esi", "edi" \ ); } \ #endif /* SSE2 */ #endif /* i386 */ #if defined(__amd64__) || defined (__x86_64__) #define MULADDC_X1_INIT \ asm( \ "xorq %%r8, %%r8\n" #define MULADDC_X1_CORE \ "movq (%%rsi), %%rax\n" \ "mulq %%rbx\n" \ "addq $8, %%rsi\n" \ "addq %%rcx, %%rax\n" \ "movq %%r8, %%rcx\n" \ "adcq $0, %%rdx\n" \ "nop \n" \ "addq %%rax, (%%rdi)\n" \ "adcq %%rdx, %%rcx\n" \ "addq $8, %%rdi\n" #define MULADDC_X1_STOP \ : "+c" (c), "+D" (d), "+S" (s), "+m" (*(uint64_t (*)[16]) d) \ : "b" (b), "m" (*(const uint64_t (*)[16]) s) \ : "rax", "rdx", "r8" \ ); #endif /* AMD64 */ // The following assembly code assumes that a pointer will fit in a 64-bit register // (including ILP32 __aarch64__ ABIs such as on watchOS, hence the 2^32 - 1) #if defined(__aarch64__) && (UINTPTR_MAX == 0xfffffffful || UINTPTR_MAX == 0xfffffffffffffffful) /* * There are some issues around different compilers requiring different constraint * syntax for updating pointers from assembly code (see notes for * MBEDTLS_ASM_AARCH64_PTR_CONSTRAINT in common.h), especially on aarch64_32 (aka ILP32). * * For this reason we cast the pointers to/from uintptr_t here. */ #define MULADDC_X1_INIT \ do { uintptr_t muladdc_d = (uintptr_t) d, muladdc_s = (uintptr_t) s; asm( #define MULADDC_X1_CORE \ "ldr x4, [%x2], #8 \n\t" \ "ldr x5, [%x1] \n\t" \ "mul x6, x4, %4 \n\t" \ "umulh x7, x4, %4 \n\t" \ "adds x5, x5, x6 \n\t" \ "adc x7, x7, xzr \n\t" \ "adds x5, x5, %0 \n\t" \ "adc %0, x7, xzr \n\t" \ "str x5, [%x1], #8 \n\t" #define MULADDC_X1_STOP \ : "+r" (c), \ "+r" (muladdc_d), \ "+r" (muladdc_s), \ "+m" (*(uint64_t (*)[16]) d) \ : "r" (b), "m" (*(const uint64_t (*)[16]) s) \ : "x4", "x5", "x6", "x7", "cc" \ ); d = (mbedtls_mpi_uint *)muladdc_d; s = (mbedtls_mpi_uint *)muladdc_s; } while (0); #endif /* Aarch64 */ #if defined(__mc68020__) || defined(__mcpu32__) #define MULADDC_X1_INIT \ asm( \ "movl %3, %%a2 \n\t" \ "movl %4, %%a3 \n\t" \ "movl %5, %%d3 \n\t" \ "movl %6, %%d2 \n\t" \ "moveq #0, %%d0 \n\t" #define MULADDC_X1_CORE \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d4:%%d1 \n\t" \ "addl %%d3, %%d1 \n\t" \ "addxl %%d0, %%d4 \n\t" \ "moveq #0, %%d3 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "addxl %%d4, %%d3 \n\t" #define MULADDC_X1_STOP \ "movl %%d3, %0 \n\t" \ "movl %%a3, %1 \n\t" \ "movl %%a2, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \ ); #define MULADDC_X8_INIT MULADDC_X1_INIT #define MULADDC_X8_CORE \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d4:%%d1 \n\t" \ "addxl %%d3, %%d1 \n\t" \ "addxl %%d0, %%d4 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d3:%%d1 \n\t" \ "addxl %%d4, %%d1 \n\t" \ "addxl %%d0, %%d3 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d4:%%d1 \n\t" \ "addxl %%d3, %%d1 \n\t" \ "addxl %%d0, %%d4 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d3:%%d1 \n\t" \ "addxl %%d4, %%d1 \n\t" \ "addxl %%d0, %%d3 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d4:%%d1 \n\t" \ "addxl %%d3, %%d1 \n\t" \ "addxl %%d0, %%d4 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d3:%%d1 \n\t" \ "addxl %%d4, %%d1 \n\t" \ "addxl %%d0, %%d3 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d4:%%d1 \n\t" \ "addxl %%d3, %%d1 \n\t" \ "addxl %%d0, %%d4 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "movel %%a2@+, %%d1 \n\t" \ "mulul %%d2, %%d3:%%d1 \n\t" \ "addxl %%d4, %%d1 \n\t" \ "addxl %%d0, %%d3 \n\t" \ "addl %%d1, %%a3@+ \n\t" \ "addxl %%d0, %%d3 \n\t" #define MULADDC_X8_STOP MULADDC_X1_STOP #endif /* MC68000 */ #if defined(__powerpc64__) || defined(__ppc64__) #if defined(__MACH__) && defined(__APPLE__) #define MULADDC_X1_INIT \ asm( \ "ld r3, %3 \n\t" \ "ld r4, %4 \n\t" \ "ld r5, %5 \n\t" \ "ld r6, %6 \n\t" \ "addi r3, r3, -8 \n\t" \ "addi r4, r4, -8 \n\t" \ "addic r5, r5, 0 \n\t" #define MULADDC_X1_CORE \ "ldu r7, 8(r3) \n\t" \ "mulld r8, r7, r6 \n\t" \ "mulhdu r9, r7, r6 \n\t" \ "adde r8, r8, r5 \n\t" \ "ld r7, 8(r4) \n\t" \ "addze r5, r9 \n\t" \ "addc r8, r8, r7 \n\t" \ "stdu r8, 8(r4) \n\t" #define MULADDC_X1_STOP \ "addze r5, r5 \n\t" \ "addi r4, r4, 8 \n\t" \ "addi r3, r3, 8 \n\t" \ "std r5, %0 \n\t" \ "std r4, %1 \n\t" \ "std r3, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ ); #else /* __MACH__ && __APPLE__ */ #define MULADDC_X1_INIT \ asm( \ "ld %%r3, %3 \n\t" \ "ld %%r4, %4 \n\t" \ "ld %%r5, %5 \n\t" \ "ld %%r6, %6 \n\t" \ "addi %%r3, %%r3, -8 \n\t" \ "addi %%r4, %%r4, -8 \n\t" \ "addic %%r5, %%r5, 0 \n\t" #define MULADDC_X1_CORE \ "ldu %%r7, 8(%%r3) \n\t" \ "mulld %%r8, %%r7, %%r6 \n\t" \ "mulhdu %%r9, %%r7, %%r6 \n\t" \ "adde %%r8, %%r8, %%r5 \n\t" \ "ld %%r7, 8(%%r4) \n\t" \ "addze %%r5, %%r9 \n\t" \ "addc %%r8, %%r8, %%r7 \n\t" \ "stdu %%r8, 8(%%r4) \n\t" #define MULADDC_X1_STOP \ "addze %%r5, %%r5 \n\t" \ "addi %%r4, %%r4, 8 \n\t" \ "addi %%r3, %%r3, 8 \n\t" \ "std %%r5, %0 \n\t" \ "std %%r4, %1 \n\t" \ "std %%r3, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ ); #endif /* __MACH__ && __APPLE__ */ #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */ #if defined(__MACH__) && defined(__APPLE__) #define MULADDC_X1_INIT \ asm( \ "lwz r3, %3 \n\t" \ "lwz r4, %4 \n\t" \ "lwz r5, %5 \n\t" \ "lwz r6, %6 \n\t" \ "addi r3, r3, -4 \n\t" \ "addi r4, r4, -4 \n\t" \ "addic r5, r5, 0 \n\t" #define MULADDC_X1_CORE \ "lwzu r7, 4(r3) \n\t" \ "mullw r8, r7, r6 \n\t" \ "mulhwu r9, r7, r6 \n\t" \ "adde r8, r8, r5 \n\t" \ "lwz r7, 4(r4) \n\t" \ "addze r5, r9 \n\t" \ "addc r8, r8, r7 \n\t" \ "stwu r8, 4(r4) \n\t" #define MULADDC_X1_STOP \ "addze r5, r5 \n\t" \ "addi r4, r4, 4 \n\t" \ "addi r3, r3, 4 \n\t" \ "stw r5, %0 \n\t" \ "stw r4, %1 \n\t" \ "stw r3, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ ); #else /* __MACH__ && __APPLE__ */ #define MULADDC_X1_INIT \ asm( \ "lwz %%r3, %3 \n\t" \ "lwz %%r4, %4 \n\t" \ "lwz %%r5, %5 \n\t" \ "lwz %%r6, %6 \n\t" \ "addi %%r3, %%r3, -4 \n\t" \ "addi %%r4, %%r4, -4 \n\t" \ "addic %%r5, %%r5, 0 \n\t" #define MULADDC_X1_CORE \ "lwzu %%r7, 4(%%r3) \n\t" \ "mullw %%r8, %%r7, %%r6 \n\t" \ "mulhwu %%r9, %%r7, %%r6 \n\t" \ "adde %%r8, %%r8, %%r5 \n\t" \ "lwz %%r7, 4(%%r4) \n\t" \ "addze %%r5, %%r9 \n\t" \ "addc %%r8, %%r8, %%r7 \n\t" \ "stwu %%r8, 4(%%r4) \n\t" #define MULADDC_X1_STOP \ "addze %%r5, %%r5 \n\t" \ "addi %%r4, %%r4, 4 \n\t" \ "addi %%r3, %%r3, 4 \n\t" \ "stw %%r5, %0 \n\t" \ "stw %%r4, %1 \n\t" \ "stw %%r3, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ ); #endif /* __MACH__ && __APPLE__ */ #endif /* PPC32 */ /* * The Sparc(64) assembly is reported to be broken. * Disable it for now, until we're able to fix it. */ #if 0 && defined(__sparc__) #if defined(__sparc64__) #define MULADDC_X1_INIT \ asm( \ "ldx %3, %%o0 \n\t" \ "ldx %4, %%o1 \n\t" \ "ld %5, %%o2 \n\t" \ "ld %6, %%o3 \n\t" #define MULADDC_X1_CORE \ "ld [%%o0], %%o4 \n\t" \ "inc 4, %%o0 \n\t" \ "ld [%%o1], %%o5 \n\t" \ "umul %%o3, %%o4, %%o4 \n\t" \ "addcc %%o4, %%o2, %%o4 \n\t" \ "rd %%y, %%g1 \n\t" \ "addx %%g1, 0, %%g1 \n\t" \ "addcc %%o4, %%o5, %%o4 \n\t" \ "st %%o4, [%%o1] \n\t" \ "addx %%g1, 0, %%o2 \n\t" \ "inc 4, %%o1 \n\t" #define MULADDC_X1_STOP \ "st %%o2, %0 \n\t" \ "stx %%o1, %1 \n\t" \ "stx %%o0, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "g1", "o0", "o1", "o2", "o3", "o4", \ "o5" \ ); #else /* __sparc64__ */ #define MULADDC_X1_INIT \ asm( \ "ld %3, %%o0 \n\t" \ "ld %4, %%o1 \n\t" \ "ld %5, %%o2 \n\t" \ "ld %6, %%o3 \n\t" #define MULADDC_X1_CORE \ "ld [%%o0], %%o4 \n\t" \ "inc 4, %%o0 \n\t" \ "ld [%%o1], %%o5 \n\t" \ "umul %%o3, %%o4, %%o4 \n\t" \ "addcc %%o4, %%o2, %%o4 \n\t" \ "rd %%y, %%g1 \n\t" \ "addx %%g1, 0, %%g1 \n\t" \ "addcc %%o4, %%o5, %%o4 \n\t" \ "st %%o4, [%%o1] \n\t" \ "addx %%g1, 0, %%o2 \n\t" \ "inc 4, %%o1 \n\t" #define MULADDC_X1_STOP \ "st %%o2, %0 \n\t" \ "st %%o1, %1 \n\t" \ "st %%o0, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "g1", "o0", "o1", "o2", "o3", "o4", \ "o5" \ ); #endif /* __sparc64__ */ #endif /* __sparc__ */ #if defined(__microblaze__) || defined(microblaze) #define MULADDC_X1_INIT \ asm( \ "lwi r3, %3 \n\t" \ "lwi r4, %4 \n\t" \ "lwi r5, %5 \n\t" \ "lwi r6, %6 \n\t" \ "andi r7, r6, 0xffff \n\t" \ "bsrli r6, r6, 16 \n\t" #if(__BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__) #define MULADDC_LHUI \ "lhui r9, r3, 0 \n\t" \ "addi r3, r3, 2 \n\t" \ "lhui r8, r3, 0 \n\t" #else #define MULADDC_LHUI \ "lhui r8, r3, 0 \n\t" \ "addi r3, r3, 2 \n\t" \ "lhui r9, r3, 0 \n\t" #endif #define MULADDC_X1_CORE \ MULADDC_LHUI \ "addi r3, r3, 2 \n\t" \ "mul r10, r9, r6 \n\t" \ "mul r11, r8, r7 \n\t" \ "mul r12, r9, r7 \n\t" \ "mul r13, r8, r6 \n\t" \ "bsrli r8, r10, 16 \n\t" \ "bsrli r9, r11, 16 \n\t" \ "add r13, r13, r8 \n\t" \ "add r13, r13, r9 \n\t" \ "bslli r10, r10, 16 \n\t" \ "bslli r11, r11, 16 \n\t" \ "add r12, r12, r10 \n\t" \ "addc r13, r13, r0 \n\t" \ "add r12, r12, r11 \n\t" \ "addc r13, r13, r0 \n\t" \ "lwi r10, r4, 0 \n\t" \ "add r12, r12, r10 \n\t" \ "addc r13, r13, r0 \n\t" \ "add r12, r12, r5 \n\t" \ "addc r5, r13, r0 \n\t" \ "swi r12, r4, 0 \n\t" \ "addi r4, r4, 4 \n\t" #define MULADDC_X1_STOP \ "swi r5, %0 \n\t" \ "swi r4, %1 \n\t" \ "swi r3, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r3", "r4", "r5", "r6", "r7", "r8", \ "r9", "r10", "r11", "r12", "r13" \ ); #endif /* MicroBlaze */ #if defined(__tricore__) #define MULADDC_X1_INIT \ asm( \ "ld.a %%a2, %3 \n\t" \ "ld.a %%a3, %4 \n\t" \ "ld.w %%d4, %5 \n\t" \ "ld.w %%d1, %6 \n\t" \ "xor %%d5, %%d5 \n\t" #define MULADDC_X1_CORE \ "ld.w %%d0, [%%a2+] \n\t" \ "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \ "ld.w %%d0, [%%a3] \n\t" \ "addx %%d2, %%d2, %%d0 \n\t" \ "addc %%d3, %%d3, 0 \n\t" \ "mov %%d4, %%d3 \n\t" \ "st.w [%%a3+], %%d2 \n\t" #define MULADDC_X1_STOP \ "st.w %0, %%d4 \n\t" \ "st.a %1, %%a3 \n\t" \ "st.a %2, %%a2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "d0", "d1", "e2", "d4", "a2", "a3" \ ); #endif /* TriCore */ #if defined(__arm__) #if defined(__thumb__) && !defined(__thumb2__) #if !defined(__ARMCC_VERSION) && !defined(__clang__) \ && !defined(__llvm__) && !defined(__INTEL_COMPILER) /* * Thumb 1 ISA. This code path has only been tested successfully on gcc; * it does not compile on clang or armclang. * * Other compilers which define __GNUC__ may not work. The above macro * attempts to exclude these untested compilers. */ #if !defined(__OPTIMIZE__) && defined(__GNUC__) /* * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about * our use of r7 below, unless -fomit-frame-pointer is passed. * * On the other hand, -fomit-frame-pointer is implied by any -Ox options with * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by * clang and armcc5 under the same conditions). * * If gcc needs to use r7, we use r1 as a scratch register and have a few extra * instructions to preserve/restore it; otherwise, we can use r7 and avoid * the preserve/restore overhead. */ #define MULADDC_SCRATCH "RS .req r1 \n\t" #define MULADDC_PRESERVE_SCRATCH "mov r10, r1 \n\t" #define MULADDC_RESTORE_SCRATCH "mov r1, r10 \n\t" #define MULADDC_SCRATCH_CLOBBER "r10" #else /* !defined(__OPTIMIZE__) && defined(__GNUC__) */ #define MULADDC_SCRATCH "RS .req r7 \n\t" #define MULADDC_PRESERVE_SCRATCH "" #define MULADDC_RESTORE_SCRATCH "" #define MULADDC_SCRATCH_CLOBBER "r7" #endif /* !defined(__OPTIMIZE__) && defined(__GNUC__) */ #define MULADDC_X1_INIT \ asm( \ MULADDC_SCRATCH \ "ldr r0, %3 \n\t" \ "ldr r1, %4 \n\t" \ "ldr r2, %5 \n\t" \ "ldr r3, %6 \n\t" \ "lsr r4, r3, #16 \n\t" \ "mov r9, r4 \n\t" \ "lsl r4, r3, #16 \n\t" \ "lsr r4, r4, #16 \n\t" \ "mov r8, r4 \n\t" \ #define MULADDC_X1_CORE \ MULADDC_PRESERVE_SCRATCH \ "ldmia r0!, {r6} \n\t" \ "lsr RS, r6, #16 \n\t" \ "lsl r6, r6, #16 \n\t" \ "lsr r6, r6, #16 \n\t" \ "mov r4, r8 \n\t" \ "mul r4, r6 \n\t" \ "mov r3, r9 \n\t" \ "mul r6, r3 \n\t" \ "mov r5, r9 \n\t" \ "mul r5, RS \n\t" \ "mov r3, r8 \n\t" \ "mul RS, r3 \n\t" \ "lsr r3, r6, #16 \n\t" \ "add r5, r5, r3 \n\t" \ "lsr r3, RS, #16 \n\t" \ "add r5, r5, r3 \n\t" \ "add r4, r4, r2 \n\t" \ "mov r2, #0 \n\t" \ "adc r5, r2 \n\t" \ "lsl r3, r6, #16 \n\t" \ "add r4, r4, r3 \n\t" \ "adc r5, r2 \n\t" \ "lsl r3, RS, #16 \n\t" \ "add r4, r4, r3 \n\t" \ "adc r5, r2 \n\t" \ MULADDC_RESTORE_SCRATCH \ "ldr r3, [r1] \n\t" \ "add r4, r4, r3 \n\t" \ "adc r2, r5 \n\t" \ "stmia r1!, {r4} \n\t" #define MULADDC_X1_STOP \ "str r2, %0 \n\t" \ "str r1, %1 \n\t" \ "str r0, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r0", "r1", "r2", "r3", "r4", "r5", \ "r6", MULADDC_SCRATCH_CLOBBER, "r8", "r9", "cc" \ ); #endif /* !defined(__ARMCC_VERSION) && !defined(__clang__) */ #elif (__ARM_ARCH >= 6) && \ defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1) /* Armv6-M (or later) with DSP Instruction Set Extensions. * Requires support for either Thumb 2 or Arm ISA. */ #define MULADDC_X1_INIT \ { \ mbedtls_mpi_uint tmp_a, tmp_b; \ asm volatile ( #define MULADDC_X1_CORE \ ".p2align 2 \n\t" \ "ldr %[a], [%[in]], #4 \n\t" \ "ldr %[b], [%[acc]] \n\t" \ "umaal %[b], %[carry], %[scalar], %[a] \n\t" \ "str %[b], [%[acc]], #4 \n\t" #define MULADDC_X1_STOP \ : [a] "=&r" (tmp_a), \ [b] "=&r" (tmp_b), \ [in] "+r" (s), \ [acc] "+r" (d), \ [carry] "+l" (c) \ : [scalar] "r" (b) \ : "memory" \ ); \ } #define MULADDC_X2_INIT \ { \ mbedtls_mpi_uint tmp_a0, tmp_b0; \ mbedtls_mpi_uint tmp_a1, tmp_b1; \ asm volatile ( /* - Make sure loop is 4-byte aligned to avoid stalls * upon repeated non-word aligned instructions in * some microarchitectures. * - Don't use ldm with post-increment or back-to-back * loads with post-increment and same address register * to avoid stalls on some microarchitectures. * - Bunch loads and stores to reduce latency on some * microarchitectures. E.g., on Cortex-M4, the first * in a series of load/store operations has latency * 2 cycles, while subsequent loads/stores are single-cycle. */ #define MULADDC_X2_CORE \ ".p2align 2 \n\t" \ "ldr %[a0], [%[in]], #+8 \n\t" \ "ldr %[b0], [%[acc]], #+8 \n\t" \ "ldr %[a1], [%[in], #-4] \n\t" \ "ldr %[b1], [%[acc], #-4] \n\t" \ "umaal %[b0], %[carry], %[scalar], %[a0] \n\t" \ "umaal %[b1], %[carry], %[scalar], %[a1] \n\t" \ "str %[b0], [%[acc], #-8] \n\t" \ "str %[b1], [%[acc], #-4] \n\t" #define MULADDC_X2_STOP \ : [a0] "=&r" (tmp_a0), \ [b0] "=&r" (tmp_b0), \ [a1] "=&r" (tmp_a1), \ [b1] "=&r" (tmp_b1), \ [in] "+r" (s), \ [acc] "+r" (d), \ [carry] "+l" (c) \ : [scalar] "r" (b) \ : "memory" \ ); \ } #else /* Thumb 2 or Arm ISA, without DSP extensions */ #define MULADDC_X1_INIT \ asm( \ "ldr r0, %3 \n\t" \ "ldr r1, %4 \n\t" \ "ldr r2, %5 \n\t" \ "ldr r3, %6 \n\t" #define MULADDC_X1_CORE \ "ldr r4, [r0], #4 \n\t" \ "mov r5, #0 \n\t" \ "ldr r6, [r1] \n\t" \ "umlal r2, r5, r3, r4 \n\t" \ "adds r4, r6, r2 \n\t" \ "adc r2, r5, #0 \n\t" \ "str r4, [r1], #4 \n\t" #define MULADDC_X1_STOP \ "str r2, %0 \n\t" \ "str r1, %1 \n\t" \ "str r0, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "r0", "r1", "r2", "r3", "r4", "r5", \ "r6", "cc" \ ); #endif /* ISA codepath selection */ #endif /* defined(__arm__) */ #if defined(__alpha__) #define MULADDC_X1_INIT \ asm( \ "ldq $1, %3 \n\t" \ "ldq $2, %4 \n\t" \ "ldq $3, %5 \n\t" \ "ldq $4, %6 \n\t" #define MULADDC_X1_CORE \ "ldq $6, 0($1) \n\t" \ "addq $1, 8, $1 \n\t" \ "mulq $6, $4, $7 \n\t" \ "umulh $6, $4, $6 \n\t" \ "addq $7, $3, $7 \n\t" \ "cmpult $7, $3, $3 \n\t" \ "ldq $5, 0($2) \n\t" \ "addq $7, $5, $7 \n\t" \ "cmpult $7, $5, $5 \n\t" \ "stq $7, 0($2) \n\t" \ "addq $2, 8, $2 \n\t" \ "addq $6, $3, $3 \n\t" \ "addq $5, $3, $3 \n\t" #define MULADDC_X1_STOP \ "stq $3, %0 \n\t" \ "stq $2, %1 \n\t" \ "stq $1, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \ ); #endif /* Alpha */ #if defined(__mips__) && !defined(__mips64) #define MULADDC_X1_INIT \ asm( \ "lw $10, %3 \n\t" \ "lw $11, %4 \n\t" \ "lw $12, %5 \n\t" \ "lw $13, %6 \n\t" #define MULADDC_X1_CORE \ "lw $14, 0($10) \n\t" \ "multu $13, $14 \n\t" \ "addi $10, $10, 4 \n\t" \ "mflo $14 \n\t" \ "mfhi $9 \n\t" \ "addu $14, $12, $14 \n\t" \ "lw $15, 0($11) \n\t" \ "sltu $12, $14, $12 \n\t" \ "addu $15, $14, $15 \n\t" \ "sltu $14, $15, $14 \n\t" \ "addu $12, $12, $9 \n\t" \ "sw $15, 0($11) \n\t" \ "addu $12, $12, $14 \n\t" \ "addi $11, $11, 4 \n\t" #define MULADDC_X1_STOP \ "sw $12, %0 \n\t" \ "sw $11, %1 \n\t" \ "sw $10, %2 \n\t" \ : "=m" (c), "=m" (d), "=m" (s) \ : "m" (s), "m" (d), "m" (c), "m" (b) \ : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \ ); #endif /* MIPS */ #endif /* GNUC */ #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__) #define MULADDC_X1_INIT \ __asm mov esi, s \ __asm mov edi, d \ __asm mov ecx, c \ __asm mov ebx, b #define MULADDC_X1_CORE \ __asm lodsd \ __asm mul ebx \ __asm add eax, ecx \ __asm adc edx, 0 \ __asm add eax, [edi] \ __asm adc edx, 0 \ __asm mov ecx, edx \ __asm stosd #define MULADDC_X1_STOP \ __asm mov c, ecx \ __asm mov d, edi \ __asm mov s, esi #if defined(MBEDTLS_HAVE_SSE2) #define EMIT __asm _emit #define MULADDC_X8_INIT MULADDC_X1_INIT #define MULADDC_X8_CORE \ EMIT 0x0F EMIT 0x6E EMIT 0xC9 \ EMIT 0x0F EMIT 0x6E EMIT 0xC3 \ EMIT 0x0F EMIT 0x6E EMIT 0x1F \ EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ EMIT 0x0F EMIT 0x6E EMIT 0x16 \ EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \ EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \ EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \ EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \ EMIT 0x0F EMIT 0xD4 EMIT 0xDC \ EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \ EMIT 0x0F EMIT 0xD4 EMIT 0xEE \ EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \ EMIT 0x0F EMIT 0xD4 EMIT 0xFC \ EMIT 0x0F EMIT 0x7E EMIT 0x0F \ EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \ EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \ EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \ EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \ EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCD \ EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \ EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCF \ EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \ EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \ EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCC \ EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \ EMIT 0x0F EMIT 0xD4 EMIT 0xDD \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCE \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \ EMIT 0x83 EMIT 0xC7 EMIT 0x20 \ EMIT 0x83 EMIT 0xC6 EMIT 0x20 \ EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ EMIT 0x0F EMIT 0x7E EMIT 0xC9 #define MULADDC_X8_STOP \ EMIT 0x0F EMIT 0x77 \ __asm mov c, ecx \ __asm mov d, edi \ __asm mov s, esi #endif /* SSE2 */ #endif /* MSVC */ #endif /* MBEDTLS_HAVE_ASM */ #if !defined(MULADDC_X1_CORE) #if defined(MBEDTLS_HAVE_UDBL) #define MULADDC_X1_INIT \ { \ mbedtls_t_udbl r; \ mbedtls_mpi_uint r0, r1; #define MULADDC_X1_CORE \ r = *(s++) * (mbedtls_t_udbl) b; \ r0 = (mbedtls_mpi_uint) r; \ r1 = (mbedtls_mpi_uint)( r >> biL ); \ r0 += c; r1 += (r0 < c); \ r0 += *d; r1 += (r0 < *d); \ c = r1; *(d++) = r0; #define MULADDC_X1_STOP \ } #else /* MBEDTLS_HAVE_UDBL */ #define MULADDC_X1_INIT \ { \ mbedtls_mpi_uint s0, s1, b0, b1; \ mbedtls_mpi_uint r0, r1, rx, ry; \ b0 = ( b << biH ) >> biH; \ b1 = ( b >> biH ); #define MULADDC_X1_CORE \ s0 = ( *s << biH ) >> biH; \ s1 = ( *s >> biH ); s++; \ rx = s0 * b1; r0 = s0 * b0; \ ry = s1 * b0; r1 = s1 * b1; \ r1 += ( rx >> biH ); \ r1 += ( ry >> biH ); \ rx <<= biH; ry <<= biH; \ r0 += rx; r1 += (r0 < rx); \ r0 += ry; r1 += (r0 < ry); \ r0 += c; r1 += (r0 < c); \ r0 += *d; r1 += (r0 < *d); \ c = r1; *(d++) = r0; #define MULADDC_X1_STOP \ } #endif /* C (longlong) */ #endif /* C (generic) */ #if !defined(MULADDC_X2_CORE) #define MULADDC_X2_INIT MULADDC_X1_INIT #define MULADDC_X2_STOP MULADDC_X1_STOP #define MULADDC_X2_CORE MULADDC_X1_CORE MULADDC_X1_CORE #endif /* MULADDC_X2_CORE */ #if !defined(MULADDC_X4_CORE) #define MULADDC_X4_INIT MULADDC_X2_INIT #define MULADDC_X4_STOP MULADDC_X2_STOP #define MULADDC_X4_CORE MULADDC_X2_CORE MULADDC_X2_CORE #endif /* MULADDC_X4_CORE */ #if !defined(MULADDC_X8_CORE) #define MULADDC_X8_INIT MULADDC_X4_INIT #define MULADDC_X8_STOP MULADDC_X4_STOP #define MULADDC_X8_CORE MULADDC_X4_CORE MULADDC_X4_CORE #endif /* MULADDC_X8_CORE */ /* *INDENT-ON* */ #endif /* bn_mul.h */