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bootloader/u-boot_2015_04/lib/rsa/rsa-mod-exp.c 7.45 KB
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  /*
   * 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
  ", 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)
  ",
  		      k);
  		return -EINVAL;
  	}
  
  	if (!is_public_exponent_bit_set(key, 0)) {
  		debug("LSB of RSA public exponent must be set.
  ");
  		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
  ",
  		      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;
  }