diff options
Diffstat (limited to 'lib/rsa/rsa-mod-exp.c')
-rw-r--r-- | lib/rsa/rsa-mod-exp.c | 303 |
1 files changed, 303 insertions, 0 deletions
diff --git a/lib/rsa/rsa-mod-exp.c b/lib/rsa/rsa-mod-exp.c new file mode 100644 index 0000000..4a6de2b --- /dev/null +++ b/lib/rsa/rsa-mod-exp.c @@ -0,0 +1,303 @@ +/* + * Copyright (c) 2013, Google Inc. + * + * SPDX-License-Identifier: GPL-2.0+ + */ + +#ifndef USE_HOSTCC +#include <common.h> +#include <fdtdec.h> +#include <asm/types.h> +#include <asm/byteorder.h> +#include <asm/errno.h> +#include <asm/types.h> +#include <asm/unaligned.h> +#else +#include "fdt_host.h" +#include "mkimage.h" +#include <fdt_support.h> +#endif +#include <u-boot/rsa.h> +#include <u-boot/rsa-mod-exp.h> + +#define UINT64_MULT32(v, multby) (((uint64_t)(v)) * ((uint32_t)(multby))) + +#define get_unaligned_be32(a) fdt32_to_cpu(*(uint32_t *)a) +#define put_unaligned_be32(a, b) (*(uint32_t *)(b) = cpu_to_fdt32(a)) + +/* Default public exponent for backward compatibility */ +#define RSA_DEFAULT_PUBEXP 65537 + +/** + * subtract_modulus() - subtract modulus from the given value + * + * @key: Key containing modulus to subtract + * @num: Number to subtract modulus from, as little endian word array + */ +static void subtract_modulus(const struct rsa_public_key *key, uint32_t num[]) +{ + int64_t acc = 0; + uint i; + + for (i = 0; i < key->len; i++) { + acc += (uint64_t)num[i] - key->modulus[i]; + num[i] = (uint32_t)acc; + acc >>= 32; + } +} + +/** + * greater_equal_modulus() - check if a value is >= modulus + * + * @key: Key containing modulus to check + * @num: Number to check against modulus, as little endian word array + * @return 0 if num < modulus, 1 if num >= modulus + */ +static int greater_equal_modulus(const struct rsa_public_key *key, + uint32_t num[]) +{ + int i; + + for (i = (int)key->len - 1; i >= 0; i--) { + if (num[i] < key->modulus[i]) + return 0; + if (num[i] > key->modulus[i]) + return 1; + } + + return 1; /* equal */ +} + +/** + * montgomery_mul_add_step() - Perform montgomery multiply-add step + * + * Operation: montgomery result[] += a * b[] / n0inv % modulus + * + * @key: RSA key + * @result: Place to put result, as little endian word array + * @a: Multiplier + * @b: Multiplicand, as little endian word array + */ +static void montgomery_mul_add_step(const struct rsa_public_key *key, + uint32_t result[], const uint32_t a, const uint32_t b[]) +{ + uint64_t acc_a, acc_b; + uint32_t d0; + uint i; + + acc_a = (uint64_t)a * b[0] + result[0]; + d0 = (uint32_t)acc_a * key->n0inv; + acc_b = (uint64_t)d0 * key->modulus[0] + (uint32_t)acc_a; + for (i = 1; i < key->len; i++) { + acc_a = (acc_a >> 32) + (uint64_t)a * b[i] + result[i]; + acc_b = (acc_b >> 32) + (uint64_t)d0 * key->modulus[i] + + (uint32_t)acc_a; + result[i - 1] = (uint32_t)acc_b; + } + + acc_a = (acc_a >> 32) + (acc_b >> 32); + + result[i - 1] = (uint32_t)acc_a; + + if (acc_a >> 32) + subtract_modulus(key, result); +} + +/** + * montgomery_mul() - Perform montgomery mutitply + * + * Operation: montgomery result[] = a[] * b[] / n0inv % modulus + * + * @key: RSA key + * @result: Place to put result, as little endian word array + * @a: Multiplier, as little endian word array + * @b: Multiplicand, as little endian word array + */ +static void montgomery_mul(const struct rsa_public_key *key, + uint32_t result[], uint32_t a[], const uint32_t b[]) +{ + uint i; + + for (i = 0; i < key->len; ++i) + result[i] = 0; + for (i = 0; i < key->len; ++i) + montgomery_mul_add_step(key, result, a[i], b); +} + +/** + * num_pub_exponent_bits() - Number of bits in the public exponent + * + * @key: RSA key + * @num_bits: Storage for the number of public exponent bits + */ +static int num_public_exponent_bits(const struct rsa_public_key *key, + int *num_bits) +{ + uint64_t exponent; + int exponent_bits; + const uint max_bits = (sizeof(exponent) * 8); + + exponent = key->exponent; + exponent_bits = 0; + + if (!exponent) { + *num_bits = exponent_bits; + return 0; + } + + for (exponent_bits = 1; exponent_bits < max_bits + 1; ++exponent_bits) + if (!(exponent >>= 1)) { + *num_bits = exponent_bits; + return 0; + } + + return -EINVAL; +} + +/** + * is_public_exponent_bit_set() - Check if a bit in the public exponent is set + * + * @key: RSA key + * @pos: The bit position to check + */ +static int is_public_exponent_bit_set(const struct rsa_public_key *key, + int pos) +{ + return key->exponent & (1ULL << pos); +} + +/** + * pow_mod() - in-place public exponentiation + * + * @key: RSA key + * @inout: Big-endian word array containing value and result + */ +static int pow_mod(const struct rsa_public_key *key, uint32_t *inout) +{ + uint32_t *result, *ptr; + uint i; + int j, k; + + /* Sanity check for stack size - key->len is in 32-bit words */ + if (key->len > RSA_MAX_KEY_BITS / 32) { + debug("RSA key words %u exceeds maximum %d\n", key->len, + RSA_MAX_KEY_BITS / 32); + return -EINVAL; + } + + uint32_t val[key->len], acc[key->len], tmp[key->len]; + uint32_t a_scaled[key->len]; + result = tmp; /* Re-use location. */ + + /* Convert from big endian byte array to little endian word array. */ + for (i = 0, ptr = inout + key->len - 1; i < key->len; i++, ptr--) + val[i] = get_unaligned_be32(ptr); + + if (0 != num_public_exponent_bits(key, &k)) + return -EINVAL; + + if (k < 2) { + debug("Public exponent is too short (%d bits, minimum 2)\n", + k); + return -EINVAL; + } + + if (!is_public_exponent_bit_set(key, 0)) { + debug("LSB of RSA public exponent must be set.\n"); + return -EINVAL; + } + + /* the bit at e[k-1] is 1 by definition, so start with: C := M */ + montgomery_mul(key, acc, val, key->rr); /* acc = a * RR / R mod n */ + /* retain scaled version for intermediate use */ + memcpy(a_scaled, acc, key->len * sizeof(a_scaled[0])); + + for (j = k - 2; j > 0; --j) { + montgomery_mul(key, tmp, acc, acc); /* tmp = acc^2 / R mod n */ + + if (is_public_exponent_bit_set(key, j)) { + /* acc = tmp * val / R mod n */ + montgomery_mul(key, acc, tmp, a_scaled); + } else { + /* e[j] == 0, copy tmp back to acc for next operation */ + memcpy(acc, tmp, key->len * sizeof(acc[0])); + } + } + + /* the bit at e[0] is always 1 */ + montgomery_mul(key, tmp, acc, acc); /* tmp = acc^2 / R mod n */ + montgomery_mul(key, acc, tmp, val); /* acc = tmp * a / R mod M */ + memcpy(result, acc, key->len * sizeof(result[0])); + + /* Make sure result < mod; result is at most 1x mod too large. */ + if (greater_equal_modulus(key, result)) + subtract_modulus(key, result); + + /* Convert to bigendian byte array */ + for (i = key->len - 1, ptr = inout; (int)i >= 0; i--, ptr++) + put_unaligned_be32(result[i], ptr); + return 0; +} + +static void rsa_convert_big_endian(uint32_t *dst, const uint32_t *src, int len) +{ + int i; + + for (i = 0; i < len; i++) + dst[i] = fdt32_to_cpu(src[len - 1 - i]); +} + +int rsa_mod_exp_sw(const uint8_t *sig, uint32_t sig_len, + struct key_prop *prop, uint8_t *out) +{ + struct rsa_public_key key; + int ret; + + if (!prop) { + debug("%s: Skipping invalid prop", __func__); + return -EBADF; + } + key.n0inv = prop->n0inv; + key.len = prop->num_bits; + + if (!prop->public_exponent) + key.exponent = RSA_DEFAULT_PUBEXP; + else + key.exponent = + fdt64_to_cpu(*((uint64_t *)(prop->public_exponent))); + + if (!key.len || !prop->modulus || !prop->rr) { + debug("%s: Missing RSA key info", __func__); + return -EFAULT; + } + + /* Sanity check for stack size */ + if (key.len > RSA_MAX_KEY_BITS || key.len < RSA_MIN_KEY_BITS) { + debug("RSA key bits %u outside allowed range %d..%d\n", + key.len, RSA_MIN_KEY_BITS, RSA_MAX_KEY_BITS); + return -EFAULT; + } + key.len /= sizeof(uint32_t) * 8; + uint32_t key1[key.len], key2[key.len]; + + key.modulus = key1; + key.rr = key2; + rsa_convert_big_endian(key.modulus, (uint32_t *)prop->modulus, key.len); + rsa_convert_big_endian(key.rr, (uint32_t *)prop->rr, key.len); + if (!key.modulus || !key.rr) { + debug("%s: Out of memory", __func__); + return -ENOMEM; + } + + uint32_t buf[sig_len / sizeof(uint32_t)]; + + memcpy(buf, sig, sig_len); + + ret = pow_mod(&key, buf); + if (ret) + return ret; + + memcpy(out, buf, sig_len); + + return 0; +} |