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// SPDX-License-Identifier: BSD-2-Clause
/*
* Copyright (c) 2018, Linaro limited
*/
#include <assert.h>
#include <mbedtls/bignum.h>
#include <mempool.h>
#include <stdio.h>
#include <string.h>
#include <tee_api.h>
#include <tee_arith_internal.h>
#include <utee_defines.h>
#include <utee_syscalls.h>
#include <util.h>
#define MPI_MEMPOOL_SIZE (14 * 1024)
static void __noreturn api_panic(const char *func, int line, const char *msg)
{
printf("Panic function %s, line %d: %s\n", func, line, msg);
TEE_Panic(0xB16127 /*BIGINT*/);
while (1)
; /* Panic will crash the thread */
}
#define API_PANIC(x) api_panic(__func__, __LINE__, x)
static void __noreturn mpi_panic(const char *func, int line, int rc)
{
printf("Panic function %s, line %d, code %d\n", func, line, rc);
TEE_Panic(0xB16127 /*BIGINT*/);
while (1)
; /* Panic will crash the thread */
}
#define MPI_CHECK(x) do { \
int _rc = (x); \
\
if (_rc) \
mpi_panic(__func__, __LINE__, _rc); \
} while (0)
void _TEE_MathAPI_Init(void)
{
static uint8_t data[MPI_MEMPOOL_SIZE] __aligned(MEMPOOL_ALIGN);
mbedtls_mpi_mempool = mempool_alloc_pool(data, sizeof(data), NULL);
if (!mbedtls_mpi_mempool)
API_PANIC("Failed to initialize memory pool");
}
struct bigint_hdr {
int32_t sign;
uint16_t alloc_size;
uint16_t nblimbs;
};
#define BIGINT_HDR_SIZE_IN_U32 2
static TEE_Result copy_mpi_to_bigint(mbedtls_mpi *mpi, TEE_BigInt *bigInt)
{
struct bigint_hdr *hdr = (struct bigint_hdr *)bigInt;
size_t n = mpi->n;
/* Trim of eventual insignificant zeroes */
while (n && !mpi->p[n - 1])
n--;
if (hdr->alloc_size < n)
return TEE_ERROR_OVERFLOW;
hdr->nblimbs = n;
hdr->sign = mpi->s;
memcpy(hdr + 1, mpi->p, mpi->n * sizeof(mbedtls_mpi_uint));
return TEE_SUCCESS;
}
/*
* Initializes a MPI.
*
* A temporary MPI is allocated and if a bigInt is supplied the MPI is
* initialized with the value of the bigInt.
*/
static void get_mpi(mbedtls_mpi *mpi, const TEE_BigInt *bigInt)
{
/*
* The way the GP spec is defining the bignums it's
* difficult/tricky to do it using 64-bit arithmetics given that
* we'd need 64-bit alignment of the data as well.
*/
COMPILE_TIME_ASSERT(sizeof(mbedtls_mpi_uint) == sizeof(uint32_t));
/*
* The struct bigint_hdr is the overhead added to the bigint and
* is required to take exactly 2 uint32_t.
*/
COMPILE_TIME_ASSERT(sizeof(struct bigint_hdr) ==
sizeof(uint32_t) * BIGINT_HDR_SIZE_IN_U32);
mbedtls_mpi_init_mempool(mpi);
if (bigInt) {
const struct bigint_hdr *hdr = (struct bigint_hdr *)bigInt;
const mbedtls_mpi_uint *p = (const mbedtls_mpi_uint *)(hdr + 1);
size_t n = hdr->nblimbs;
/* Trim of eventual insignificant zeroes */
while (n && !p[n - 1])
n--;
MPI_CHECK(mbedtls_mpi_grow(mpi, n));
mpi->s = hdr->sign;
memcpy(mpi->p, p, n * sizeof(mbedtls_mpi_uint));
}
}
void TEE_BigIntInit(TEE_BigInt *bigInt, size_t len)
{
struct bigint_hdr *hdr = (struct bigint_hdr *)bigInt;
static_assert(MBEDTLS_MPI_MAX_LIMBS + BIGINT_HDR_SIZE_IN_U32 >=
CFG_TA_BIGNUM_MAX_BITS / 32);
memset(bigInt, 0, len * sizeof(uint32_t));
hdr->sign = 1;
/* "gpd.tee.arith.maxBigIntSize" is assigned CFG_TA_BIGNUM_MAX_BITS */
if (len > CFG_TA_BIGNUM_MAX_BITS / 4)
API_PANIC("Too large bigint");
hdr->alloc_size = len - BIGINT_HDR_SIZE_IN_U32;
}
void __GP11_TEE_BigIntInit(TEE_BigInt *bigInt, uint32_t len)
{
TEE_BigIntInit(bigInt, len);
}
TEE_Result TEE_BigIntConvertFromOctetString(TEE_BigInt *dest,
const uint8_t *buffer,
size_t bufferLen, int32_t sign)
{
TEE_Result res;
mbedtls_mpi mpi_dest;
get_mpi(&mpi_dest, NULL);
if (mbedtls_mpi_read_binary(&mpi_dest, buffer, bufferLen))
res = TEE_ERROR_OVERFLOW;
else
res = TEE_SUCCESS;
if (sign < 0)
mpi_dest.s = -1;
if (!res)
res = copy_mpi_to_bigint(&mpi_dest, dest);
mbedtls_mpi_free(&mpi_dest);
return res;
}
TEE_Result __GP11_TEE_BigIntConvertFromOctetString(TEE_BigInt *dest,
const uint8_t *buffer,
uint32_t bufferLen,
int32_t sign)
{
return TEE_BigIntConvertFromOctetString(dest, buffer, bufferLen, sign);
}
TEE_Result TEE_BigIntConvertToOctetString(uint8_t *buffer, size_t *bufferLen,
const TEE_BigInt *bigInt)
{
TEE_Result res = TEE_SUCCESS;
mbedtls_mpi mpi;
size_t sz;
get_mpi(&mpi, bigInt);
sz = mbedtls_mpi_size(&mpi);
if (sz <= *bufferLen)
MPI_CHECK(mbedtls_mpi_write_binary(&mpi, buffer, sz));
else
res = TEE_ERROR_SHORT_BUFFER;
*bufferLen = sz;
mbedtls_mpi_free(&mpi);
return res;
}
TEE_Result __GP11_TEE_BigIntConvertToOctetString(uint8_t *buffer,
uint32_t *bufferLen,
const TEE_BigInt *bigInt)
{
TEE_Result res = TEE_SUCCESS;
size_t l = *bufferLen;
res = TEE_BigIntConvertToOctetString(buffer, &l, bigInt);
*bufferLen = l;
return res;
}
void TEE_BigIntConvertFromS32(TEE_BigInt *dest, int32_t shortVal)
{
mbedtls_mpi mpi;
get_mpi(&mpi, dest);
MPI_CHECK(mbedtls_mpi_lset(&mpi, shortVal));
MPI_CHECK(copy_mpi_to_bigint(&mpi, dest));
mbedtls_mpi_free(&mpi);
}
TEE_Result TEE_BigIntConvertToS32(int32_t *dest, const TEE_BigInt *src)
{
TEE_Result res = TEE_SUCCESS;
mbedtls_mpi mpi;
uint32_t v;
get_mpi(&mpi, src);
if (mbedtls_mpi_write_binary(&mpi, (void *)&v, sizeof(v))) {
res = TEE_ERROR_OVERFLOW;
goto out;
}
if (mpi.s > 0) {
if (ADD_OVERFLOW(0, TEE_U32_FROM_BIG_ENDIAN(v), dest))
res = TEE_ERROR_OVERFLOW;
} else {
if (SUB_OVERFLOW(0, TEE_U32_FROM_BIG_ENDIAN(v), dest))
res = TEE_ERROR_OVERFLOW;
}
out:
mbedtls_mpi_free(&mpi);
return res;
}
int32_t TEE_BigIntCmp(const TEE_BigInt *op1, const TEE_BigInt *op2)
{
mbedtls_mpi mpi1;
mbedtls_mpi mpi2;
int32_t rc;
get_mpi(&mpi1, op1);
get_mpi(&mpi2, op2);
rc = mbedtls_mpi_cmp_mpi(&mpi1, &mpi2);
mbedtls_mpi_free(&mpi1);
mbedtls_mpi_free(&mpi2);
return rc;
}
int32_t TEE_BigIntCmpS32(const TEE_BigInt *op, int32_t shortVal)
{
mbedtls_mpi mpi;
int32_t rc;
get_mpi(&mpi, op);
rc = mbedtls_mpi_cmp_int(&mpi, shortVal);
mbedtls_mpi_free(&mpi);
return rc;
}
void TEE_BigIntShiftRight(TEE_BigInt *dest, const TEE_BigInt *op, size_t bits)
{
mbedtls_mpi mpi_dest;
mbedtls_mpi mpi_op;
get_mpi(&mpi_dest, dest);
if (dest == op) {
MPI_CHECK(mbedtls_mpi_shift_r(&mpi_dest, bits));
goto out;
}
get_mpi(&mpi_op, op);
if (mbedtls_mpi_size(&mpi_dest) >= mbedtls_mpi_size(&mpi_op)) {
MPI_CHECK(mbedtls_mpi_copy(&mpi_dest, &mpi_op));
MPI_CHECK(mbedtls_mpi_shift_r(&mpi_dest, bits));
} else {
mbedtls_mpi mpi_t;
get_mpi(&mpi_t, NULL);
/*
* We're using a temporary buffer to avoid the corner case
* where destination is unexpectedly overflowed by up to
* @bits number of bits.
*/
MPI_CHECK(mbedtls_mpi_copy(&mpi_t, &mpi_op));
MPI_CHECK(mbedtls_mpi_shift_r(&mpi_t, bits));
MPI_CHECK(mbedtls_mpi_copy(&mpi_dest, &mpi_t));
mbedtls_mpi_free(&mpi_t);
}
mbedtls_mpi_free(&mpi_op);
out:
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
mbedtls_mpi_free(&mpi_dest);
}
void __GP11_TEE_BigIntShiftRight(TEE_BigInt *dest, const TEE_BigInt *op,
uint32_t bits)
{
TEE_BigIntShiftRight(dest, op, bits);
}
bool TEE_BigIntGetBit(const TEE_BigInt *src, uint32_t bitIndex)
{
bool rc;
mbedtls_mpi mpi;
get_mpi(&mpi, src);
rc = mbedtls_mpi_get_bit(&mpi, bitIndex);
mbedtls_mpi_free(&mpi);
return rc;
}
uint32_t TEE_BigIntGetBitCount(const TEE_BigInt *src)
{
uint32_t rc;
mbedtls_mpi mpi;
get_mpi(&mpi, src);
rc = mbedtls_mpi_bitlen(&mpi);
mbedtls_mpi_free(&mpi);
return rc;
}
TEE_Result TEE_BigIntSetBit(TEE_BigInt *op, uint32_t bitIndex, bool value)
{
TEE_Result res = TEE_SUCCESS;
mbedtls_mpi mpi = { };
int rc = 0;
get_mpi(&mpi, op);
rc = mbedtls_mpi_set_bit(&mpi, bitIndex, value);
if (rc)
res = TEE_ERROR_OVERFLOW;
else
res = copy_mpi_to_bigint(&mpi, op);
mbedtls_mpi_free(&mpi);
return res;
}
TEE_Result TEE_BigIntAssign(TEE_BigInt *dest, const TEE_BigInt *src)
{
const struct bigint_hdr *src_hdr = (struct bigint_hdr *)src;
struct bigint_hdr *dst_hdr = (struct bigint_hdr *)dest;
if (dst_hdr == src_hdr)
return TEE_SUCCESS;
if (dst_hdr->alloc_size < src_hdr->nblimbs)
return TEE_ERROR_OVERFLOW;
dst_hdr->nblimbs = src_hdr->nblimbs;
dst_hdr->sign = src_hdr->sign;
memcpy(dst_hdr + 1, src_hdr + 1, src_hdr->nblimbs * sizeof(uint32_t));
return TEE_SUCCESS;
}
TEE_Result TEE_BigIntAbs(TEE_BigInt *dest, const TEE_BigInt *src)
{
TEE_Result res = TEE_BigIntAssign(dest, src);
if (!res)
((struct bigint_hdr *)dest)->sign = 1;
return res;
}
static void bigint_binary(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2,
int (*func)(mbedtls_mpi *X, const mbedtls_mpi *A,
const mbedtls_mpi *B))
{
mbedtls_mpi mpi_dest;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi *pop1 = &mpi_op1;
mbedtls_mpi *pop2 = &mpi_op2;
get_mpi(&mpi_dest, dest);
if (op1 == dest)
pop1 = &mpi_dest;
else
get_mpi(&mpi_op1, op1);
if (op2 == dest)
pop2 = &mpi_dest;
else if (op2 == op1)
pop2 = pop1;
else
get_mpi(&mpi_op2, op2);
MPI_CHECK(func(&mpi_dest, pop1, pop2));
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
mbedtls_mpi_free(&mpi_dest);
if (pop1 == &mpi_op1)
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
}
static void bigint_binary_mod(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2, const TEE_BigInt *n,
int (*func)(mbedtls_mpi *X, const mbedtls_mpi *A,
const mbedtls_mpi *B))
{
mbedtls_mpi mpi_dest;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi mpi_n;
mbedtls_mpi *pop1 = &mpi_op1;
mbedtls_mpi *pop2 = &mpi_op2;
mbedtls_mpi mpi_t;
if (TEE_BigIntCmpS32(n, 2) < 0)
API_PANIC("Modulus is too short");
get_mpi(&mpi_dest, dest);
get_mpi(&mpi_n, n);
if (op1 == dest)
pop1 = &mpi_dest;
else
get_mpi(&mpi_op1, op1);
if (op2 == dest)
pop2 = &mpi_dest;
else if (op2 == op1)
pop2 = pop1;
else
get_mpi(&mpi_op2, op2);
get_mpi(&mpi_t, NULL);
MPI_CHECK(func(&mpi_t, pop1, pop2));
MPI_CHECK(mbedtls_mpi_mod_mpi(&mpi_dest, &mpi_t, &mpi_n));
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
mbedtls_mpi_free(&mpi_dest);
if (pop1 == &mpi_op1)
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
mbedtls_mpi_free(&mpi_t);
mbedtls_mpi_free(&mpi_n);
}
void TEE_BigIntAdd(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2)
{
bigint_binary(dest, op1, op2, mbedtls_mpi_add_mpi);
}
void TEE_BigIntSub(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2)
{
bigint_binary(dest, op1, op2, mbedtls_mpi_sub_mpi);
}
void TEE_BigIntNeg(TEE_BigInt *dest, const TEE_BigInt *src)
{
mbedtls_mpi mpi_dest;
get_mpi(&mpi_dest, dest);
if (dest != src) {
mbedtls_mpi mpi_src;
get_mpi(&mpi_src, src);
MPI_CHECK(mbedtls_mpi_copy(&mpi_dest, &mpi_src));
mbedtls_mpi_free(&mpi_src);
}
mpi_dest.s *= -1;
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
mbedtls_mpi_free(&mpi_dest);
}
void TEE_BigIntMul(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2)
{
size_t bs1 = TEE_BigIntGetBitCount(op1);
size_t bs2 = TEE_BigIntGetBitCount(op2);
size_t s = TEE_BigIntSizeInU32(bs1) + TEE_BigIntSizeInU32(bs2);
TEE_BigInt zero[TEE_BigIntSizeInU32(1)] = { 0 };
TEE_BigInt *tmp = NULL;
tmp = mempool_alloc(mbedtls_mpi_mempool, sizeof(uint32_t) * s);
if (!tmp)
TEE_Panic(TEE_ERROR_OUT_OF_MEMORY);
TEE_BigIntInit(tmp, s);
TEE_BigIntInit(zero, TEE_BigIntSizeInU32(1));
bigint_binary(tmp, op1, op2, mbedtls_mpi_mul_mpi);
TEE_BigIntAdd(dest, tmp, zero);
mempool_free(mbedtls_mpi_mempool, tmp);
}
void TEE_BigIntSquare(TEE_BigInt *dest, const TEE_BigInt *op)
{
TEE_BigIntMul(dest, op, op);
}
void TEE_BigIntDiv(TEE_BigInt *dest_q, TEE_BigInt *dest_r,
const TEE_BigInt *op1, const TEE_BigInt *op2)
{
mbedtls_mpi mpi_dest_q;
mbedtls_mpi mpi_dest_r;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi *pop1 = &mpi_op1;
mbedtls_mpi *pop2 = &mpi_op2;
get_mpi(&mpi_dest_q, dest_q);
get_mpi(&mpi_dest_r, dest_r);
if (op1 == dest_q)
pop1 = &mpi_dest_q;
else if (op1 == dest_r)
pop1 = &mpi_dest_r;
else
get_mpi(&mpi_op1, op1);
if (op2 == dest_q)
pop2 = &mpi_dest_q;
else if (op2 == dest_r)
pop2 = &mpi_dest_r;
else if (op2 == op1)
pop2 = pop1;
else
get_mpi(&mpi_op2, op2);
MPI_CHECK(mbedtls_mpi_div_mpi(&mpi_dest_q, &mpi_dest_r, pop1, pop2));
if (dest_q)
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest_q, dest_q));
if (dest_r)
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest_r, dest_r));
mbedtls_mpi_free(&mpi_dest_q);
mbedtls_mpi_free(&mpi_dest_r);
if (pop1 == &mpi_op1)
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
}
void TEE_BigIntMod(TEE_BigInt *dest, const TEE_BigInt *op, const TEE_BigInt *n)
{
if (TEE_BigIntCmpS32(n, 2) < 0)
API_PANIC("Modulus is too short");
bigint_binary(dest, op, n, mbedtls_mpi_mod_mpi);
}
void TEE_BigIntAddMod(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2, const TEE_BigInt *n)
{
bigint_binary_mod(dest, op1, op2, n, mbedtls_mpi_add_mpi);
}
void TEE_BigIntSubMod(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2, const TEE_BigInt *n)
{
bigint_binary_mod(dest, op1, op2, n, mbedtls_mpi_sub_mpi);
}
void TEE_BigIntMulMod(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2, const TEE_BigInt *n)
{
bigint_binary_mod(dest, op1, op2, n, mbedtls_mpi_mul_mpi);
}
void TEE_BigIntSquareMod(TEE_BigInt *dest, const TEE_BigInt *op,
const TEE_BigInt *n)
{
TEE_BigIntMulMod(dest, op, op, n);
}
void TEE_BigIntInvMod(TEE_BigInt *dest, const TEE_BigInt *op,
const TEE_BigInt *n)
{
mbedtls_mpi mpi_dest;
mbedtls_mpi mpi_op;
mbedtls_mpi mpi_n;
mbedtls_mpi *pop = &mpi_op;
if (TEE_BigIntCmpS32(n, 2) < 0 || TEE_BigIntCmpS32(op, 0) == 0)
API_PANIC("too small modulus or trying to invert zero");
get_mpi(&mpi_dest, dest);
get_mpi(&mpi_n, n);
if (op == dest)
pop = &mpi_dest;
else
get_mpi(&mpi_op, op);
MPI_CHECK(mbedtls_mpi_inv_mod(&mpi_dest, pop, &mpi_n));
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
mbedtls_mpi_free(&mpi_dest);
mbedtls_mpi_free(&mpi_n);
if (pop == &mpi_op)
mbedtls_mpi_free(&mpi_op);
}
bool TEE_BigIntRelativePrime(const TEE_BigInt *op1, const TEE_BigInt *op2)
{
bool rc;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi *pop2 = &mpi_op2;
mbedtls_mpi gcd;
get_mpi(&mpi_op1, op1);
if (op2 == op1)
pop2 = &mpi_op1;
else
get_mpi(&mpi_op2, op2);
get_mpi(&gcd, NULL);
MPI_CHECK(mbedtls_mpi_gcd(&gcd, &mpi_op1, &mpi_op2));
rc = !mbedtls_mpi_cmp_int(&gcd, 1);
mbedtls_mpi_free(&gcd);
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
return rc;
}
static bool mpi_is_odd(mbedtls_mpi *x)
{
return mbedtls_mpi_get_bit(x, 0);
}
static bool mpi_is_even(mbedtls_mpi *x)
{
return !mpi_is_odd(x);
}
TEE_Result TEE_BigIntExpMod(TEE_BigInt *dest, const TEE_BigInt *op1,
const TEE_BigInt *op2, const TEE_BigInt *n,
const TEE_BigIntFMMContext *context __unused)
{
TEE_Result res = TEE_SUCCESS;
mbedtls_mpi mpi_dest = { };
mbedtls_mpi mpi_op1 = { };
mbedtls_mpi mpi_op2 = { };
mbedtls_mpi mpi_n = { };
mbedtls_mpi *pop1 = &mpi_op1;
mbedtls_mpi *pop2 = &mpi_op2;
get_mpi(&mpi_dest, dest);
get_mpi(&mpi_n, n);
if (op1 == dest)
pop1 = &mpi_dest;
else
get_mpi(&mpi_op1, op1);
if (op2 == dest)
pop2 = &mpi_dest;
else if (op2 == op1)
pop2 = pop1;
else
get_mpi(&mpi_op2, op2);
if (mbedtls_mpi_cmp_int(&mpi_n, 2) <= 0)
API_PANIC("too small modulus");
if (!mpi_is_odd(&mpi_n)) {
res = TEE_ERROR_NOT_SUPPORTED;
goto out;
}
MPI_CHECK(mbedtls_mpi_exp_mod(&mpi_dest, pop1, pop2, &mpi_n, NULL));
MPI_CHECK(copy_mpi_to_bigint(&mpi_dest, dest));
out:
mbedtls_mpi_free(&mpi_dest);
mbedtls_mpi_free(&mpi_n);
if (pop1 == &mpi_op1)
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
return res;
}
static void mpi_egcd(mbedtls_mpi *gcd, mbedtls_mpi *a, mbedtls_mpi *b,
mbedtls_mpi *x_in, mbedtls_mpi *y_in)
{
mbedtls_mpi_uint k;
mbedtls_mpi A;
mbedtls_mpi B;
mbedtls_mpi C;
mbedtls_mpi D;
mbedtls_mpi x;
mbedtls_mpi y;
mbedtls_mpi u;
get_mpi(&A, NULL);
get_mpi(&B, NULL);
get_mpi(&C, NULL);
get_mpi(&D, NULL);
get_mpi(&x, NULL);
get_mpi(&y, NULL);
get_mpi(&u, NULL);
/* have y < x from assumption */
if (!mbedtls_mpi_cmp_int(y_in, 0)) {
MPI_CHECK(mbedtls_mpi_lset(a, 1));
MPI_CHECK(mbedtls_mpi_lset(b, 0));
MPI_CHECK(mbedtls_mpi_copy(gcd, x_in));
goto out;
}
MPI_CHECK(mbedtls_mpi_copy(&x, x_in));
MPI_CHECK(mbedtls_mpi_copy(&y, y_in));
k = 0;
while (mpi_is_even(&x) && mpi_is_even(&y)) {
k++;
MPI_CHECK(mbedtls_mpi_shift_r(&x, 1));
MPI_CHECK(mbedtls_mpi_shift_r(&y, 1));
}
MPI_CHECK(mbedtls_mpi_copy(&u, &x));
MPI_CHECK(mbedtls_mpi_copy(gcd, &y));
MPI_CHECK(mbedtls_mpi_lset(&A, 1));
MPI_CHECK(mbedtls_mpi_lset(&B, 0));
MPI_CHECK(mbedtls_mpi_lset(&C, 0));
MPI_CHECK(mbedtls_mpi_lset(&D, 1));
while (mbedtls_mpi_cmp_int(&u, 0)) {
while (mpi_is_even(&u)) {
MPI_CHECK(mbedtls_mpi_shift_r(&u, 1));
if (mpi_is_odd(&A) || mpi_is_odd(&B)) {
MPI_CHECK(mbedtls_mpi_add_mpi(&A, &A, &y));
MPI_CHECK(mbedtls_mpi_sub_mpi(&B, &B, &x));
}
MPI_CHECK(mbedtls_mpi_shift_r(&A, 1));
MPI_CHECK(mbedtls_mpi_shift_r(&B, 1));
}
while (mpi_is_even(gcd)) {
MPI_CHECK(mbedtls_mpi_shift_r(gcd, 1));
if (mpi_is_odd(&C) || mpi_is_odd(&D)) {
MPI_CHECK(mbedtls_mpi_add_mpi(&C, &C, &y));
MPI_CHECK(mbedtls_mpi_sub_mpi(&D, &D, &x));
}
MPI_CHECK(mbedtls_mpi_shift_r(&C, 1));
MPI_CHECK(mbedtls_mpi_shift_r(&D, 1));
}
if (mbedtls_mpi_cmp_mpi(&u, gcd) >= 0) {
MPI_CHECK(mbedtls_mpi_sub_mpi(&u, &u, gcd));
MPI_CHECK(mbedtls_mpi_sub_mpi(&A, &A, &C));
MPI_CHECK(mbedtls_mpi_sub_mpi(&B, &B, &D));
} else {
MPI_CHECK(mbedtls_mpi_sub_mpi(gcd, gcd, &u));
MPI_CHECK(mbedtls_mpi_sub_mpi(&C, &C, &A));
MPI_CHECK(mbedtls_mpi_sub_mpi(&D, &D, &B));
}
}
MPI_CHECK(mbedtls_mpi_copy(a, &C));
MPI_CHECK(mbedtls_mpi_copy(b, &D));
MPI_CHECK(mbedtls_mpi_shift_l(gcd, k));
out:
mbedtls_mpi_free(&A);
mbedtls_mpi_free(&B);
mbedtls_mpi_free(&C);
mbedtls_mpi_free(&D);
mbedtls_mpi_free(&x);
mbedtls_mpi_free(&y);
mbedtls_mpi_free(&u);
}
void TEE_BigIntComputeExtendedGcd(TEE_BigInt *gcd, TEE_BigInt *u,
TEE_BigInt *v, const TEE_BigInt *op1,
const TEE_BigInt *op2)
{
mbedtls_mpi mpi_gcd_res;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi *pop2 = &mpi_op2;
get_mpi(&mpi_gcd_res, gcd);
get_mpi(&mpi_op1, op1);
if (op2 == op1)
pop2 = &mpi_op1;
else
get_mpi(&mpi_op2, op2);
if (!u && !v) {
MPI_CHECK(mbedtls_mpi_gcd(&mpi_gcd_res, &mpi_op1, pop2));
} else {
mbedtls_mpi mpi_u;
mbedtls_mpi mpi_v;
int8_t s1 = mpi_op1.s;
int8_t s2 = pop2->s;
int cmp;
mpi_op1.s = 1;
pop2->s = 1;
get_mpi(&mpi_u, u);
get_mpi(&mpi_v, v);
cmp = mbedtls_mpi_cmp_abs(&mpi_op1, pop2);
if (cmp == 0) {
MPI_CHECK(mbedtls_mpi_copy(&mpi_gcd_res, &mpi_op1));
MPI_CHECK(mbedtls_mpi_lset(&mpi_u, 1));
MPI_CHECK(mbedtls_mpi_lset(&mpi_v, 0));
} else if (cmp > 0) {
mpi_egcd(&mpi_gcd_res, &mpi_u, &mpi_v, &mpi_op1, pop2);
} else {
mpi_egcd(&mpi_gcd_res, &mpi_v, &mpi_u, pop2, &mpi_op1);
}
mpi_u.s *= s1;
mpi_v.s *= s2;
if (u)
MPI_CHECK(copy_mpi_to_bigint(&mpi_u, u));
if (v)
MPI_CHECK(copy_mpi_to_bigint(&mpi_v, v));
mbedtls_mpi_free(&mpi_u);
mbedtls_mpi_free(&mpi_v);
}
MPI_CHECK(copy_mpi_to_bigint(&mpi_gcd_res, gcd));
mbedtls_mpi_free(&mpi_gcd_res);
mbedtls_mpi_free(&mpi_op1);
if (pop2 == &mpi_op2)
mbedtls_mpi_free(&mpi_op2);
}
static int rng_read(void *ignored __unused, unsigned char *buf, size_t blen)
{
if (_utee_cryp_random_number_generate(buf, blen))
return MBEDTLS_ERR_MPI_FILE_IO_ERROR;
return 0;
}
int32_t TEE_BigIntIsProbablePrime(const TEE_BigInt *op,
uint32_t confidenceLevel)
{
int rc;
mbedtls_mpi mpi_op;
get_mpi(&mpi_op, op);
rc = mbedtls_mpi_is_prime_ext(&mpi_op, MAX(confidenceLevel, 80U),
rng_read, NULL);
mbedtls_mpi_free(&mpi_op);
if (rc)
return 0;
return 1;
}
/*
* Not so fast FMM implementation based on the normal big int functions.
*
* Note that these functions (along with all the other functions in this
* file) only are used directly by the TA doing bigint arithmetics on its
* own. Performance of RSA operations in TEE Internal API are not affected
* by this.
*/
void TEE_BigIntInitFMM(TEE_BigIntFMM *bigIntFMM, size_t len)
{
TEE_BigIntInit(bigIntFMM, len);
}
void __GP11_TEE_BigIntInitFMM(TEE_BigIntFMM *bigIntFMM, uint32_t len)
{
TEE_BigIntInitFMM(bigIntFMM, len);
}
void TEE_BigIntInitFMMContext(TEE_BigIntFMMContext *context __unused,
size_t len __unused,
const TEE_BigInt *modulus __unused)
{
}
void __GP11_TEE_BigIntInitFMMContext(TEE_BigIntFMMContext *context,
uint32_t len, const TEE_BigInt *modulus)
{
TEE_BigIntInitFMMContext(context, len, modulus);
}
TEE_Result TEE_BigIntInitFMMContext1(TEE_BigIntFMMContext *context __unused,
size_t len __unused,
const TEE_BigInt *modulus __unused)
{
return TEE_SUCCESS;
}
size_t TEE_BigIntFMMSizeInU32(size_t modulusSizeInBits)
{
return TEE_BigIntSizeInU32(modulusSizeInBits);
}
uint32_t __GP11_TEE_BigIntFMMSizeInU32(uint32_t modulusSizeInBits)
{
return TEE_BigIntFMMSizeInU32(modulusSizeInBits);
}
size_t TEE_BigIntFMMContextSizeInU32(size_t modulusSizeInBits __unused)
{
/* Return something larger than 0 to keep malloc() and friends happy */
return 1;
}
uint32_t __GP11_TEE_BigIntFMMContextSizeInU32(uint32_t modulusSizeInBits)
{
return TEE_BigIntFMMContextSizeInU32(modulusSizeInBits);
}
void TEE_BigIntConvertToFMM(TEE_BigIntFMM *dest, const TEE_BigInt *src,
const TEE_BigInt *n,
const TEE_BigIntFMMContext *context __unused)
{
TEE_BigIntMod(dest, src, n);
}
void TEE_BigIntConvertFromFMM(TEE_BigInt *dest, const TEE_BigIntFMM *src,
const TEE_BigInt *n __unused,
const TEE_BigIntFMMContext *context __unused)
{
mbedtls_mpi mpi_dst;
mbedtls_mpi mpi_src;
get_mpi(&mpi_dst, dest);
get_mpi(&mpi_src, src);
MPI_CHECK(mbedtls_mpi_copy(&mpi_dst, &mpi_src));
MPI_CHECK(copy_mpi_to_bigint(&mpi_dst, dest));
mbedtls_mpi_free(&mpi_dst);
mbedtls_mpi_free(&mpi_src);
}
void TEE_BigIntComputeFMM(TEE_BigIntFMM *dest, const TEE_BigIntFMM *op1,
const TEE_BigIntFMM *op2, const TEE_BigInt *n,
const TEE_BigIntFMMContext *context __unused)
{
mbedtls_mpi mpi_dst;
mbedtls_mpi mpi_op1;
mbedtls_mpi mpi_op2;
mbedtls_mpi mpi_n;
mbedtls_mpi mpi_t;
get_mpi(&mpi_dst, dest);
get_mpi(&mpi_op1, op1);
get_mpi(&mpi_op2, op2);
get_mpi(&mpi_n, n);
get_mpi(&mpi_t, NULL);
MPI_CHECK(mbedtls_mpi_mul_mpi(&mpi_t, &mpi_op1, &mpi_op2));
MPI_CHECK(mbedtls_mpi_mod_mpi(&mpi_dst, &mpi_t, &mpi_n));
mbedtls_mpi_free(&mpi_t);
mbedtls_mpi_free(&mpi_n);
mbedtls_mpi_free(&mpi_op2);
mbedtls_mpi_free(&mpi_op1);
MPI_CHECK(copy_mpi_to_bigint(&mpi_dst, dest));
mbedtls_mpi_free(&mpi_dst);
}
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