| // Copyright 2016 Google Inc. |
| // |
| // 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. |
| #include <errno.h> |
| #include <stdlib.h> |
| #include <stdio.h> |
| |
| #include "cryptoc/p256.h" |
| |
| #define _TOSTR(x) #x |
| #define TOSTR(x) _TOSTR(x) |
| #define CHECK(x) \ |
| do { if (!(x)) { \ |
| errno = EADV; \ |
| perror(#x " @ line " TOSTR(__LINE__)); exit(1); }} while(0) |
| |
| static int count_bits(const p256_int* a) { |
| int i, n = 0; |
| for (i = 0; i < 256; ++i) { |
| n += p256_get_bit(a, i); |
| } |
| return n; |
| } |
| |
| // Confirm the CPU's right shift is an arithmetic shift |
| void test_cpu_behavior() { |
| int32_t i; |
| volatile int32_t val = -1; |
| uint32_t one = 1; |
| |
| for (i = 0; i < 32; i++) { |
| CHECK((val>>i) == (-1)); |
| } |
| |
| for (i = 0; i < 32; i++) { |
| CHECK(0 != (((uint32_t)(val>>i)) & (one<<i))); |
| } |
| } |
| |
| void test_shifts() { |
| p256_int a = {{1}}; |
| p256_int b; |
| int i; |
| |
| // First shift bit up one step at a time. |
| for (i = 0; i < 255; ++i) { |
| CHECK(p256_get_bit(&a, i) == 1); |
| CHECK(!p256_is_zero(&a)); |
| CHECK(p256_shl(&a, 1, &a) == 0); |
| CHECK(p256_get_bit(&a, i) == 0); |
| CHECK(count_bits(&a) == 1); |
| } |
| CHECK(p256_get_bit(&a, i) == 1); |
| CHECK(!p256_is_zero(&a)); |
| |
| // Shift bit out top. |
| CHECK(p256_shl(&a, 1, &b) == 1); |
| CHECK(p256_get_bit(&b, i) == 0); |
| CHECK(p256_is_zero(&b)); |
| |
| // Shift bit back down. |
| for (; i > 0; --i) { |
| CHECK(p256_get_bit(&a, i) == 1); |
| CHECK(!p256_is_zero(&a)); |
| p256_shr(&a, 1, &a); |
| CHECK(p256_get_bit(&a, i) == 0); |
| CHECK(count_bits(&a) == 1); |
| } |
| |
| CHECK(p256_get_bit(&a, i) == 1); |
| CHECK(!p256_is_zero(&a)); |
| |
| // Shift bit out bottom. |
| p256_shr(&a, 1, &a); |
| CHECK(p256_is_zero(&a)); |
| } |
| |
| void test_add_sub_cmp() { |
| p256_int a = {{1}}; |
| p256_int b; |
| p256_int one = {{1}}; |
| int i; |
| |
| for (i = 0; i < 255; ++i) { |
| CHECK(count_bits(&a) == 1); |
| CHECK(p256_sub(&a, &one, &b) == 0); |
| CHECK(p256_cmp(&a, &b) == 1); |
| CHECK(p256_cmp(&b, &a) == -1); |
| CHECK(count_bits(&b) == i); |
| CHECK(p256_add(&b, &one, &b) == 0); |
| CHECK(count_bits(&b) == 1); |
| CHECK(p256_cmp(&b, &a) == 0); |
| |
| CHECK(p256_shl(&a, 1, &a) == 0); |
| } |
| |
| CHECK(p256_add(&a, &a, &b) == 1); // expect carry |
| CHECK(p256_is_zero(&b)); |
| CHECK(p256_cmp(&b, &a) == -1); |
| CHECK(p256_sub(&b, &one, &b) == -1); // expect borrow |
| CHECK(p256_cmp(&b, &a) == 1); |
| } |
| |
| void test_mul_inv() { |
| p256_int a = {{1}}; |
| p256_int one = {{1}}; |
| p256_int b, c; |
| int i; |
| |
| for (i = 0; i < 255; ++i) { |
| p256_modinv(&SECP256r1_n, &a, &b); // b = 1/a |
| p256_modmul(&SECP256r1_n, &a, 0, &b, &c); // c = b * a = 1/a * a = 1 |
| CHECK(p256_cmp(&c, &one) == 0); |
| |
| p256_modinv_vartime(&SECP256r1_n, &b, &c); // c = 1/b = 1/1/a = a |
| CHECK(p256_cmp(&a, &c) == 0); |
| |
| CHECK(p256_shl(&a, 1, &a) == 0); |
| } |
| } |
| |
| void test_valid_point() { |
| // Constructed x where p < x^3-3x+b < 2^256, unreduced. |
| // Computed matching y to make valid point. |
| p256_int x = {{0x3de86868, 0x1c4c6c08, 0x22d79c, 0, 0, 0, 0, 0}}; |
| p256_int y = {{0xf7cc27ae, 0x29181e9d, 0xcb78ccd6, 0x43800616, |
| 0x86508edc, 0x13f5f534, 0x138ffcd1, 0x6b1c4fae}}; |
| |
| CHECK(p256_is_valid_point(&x, &y) == 1); |
| } |
| |
| int main(int argc, char* argv[]) { |
| test_cpu_behavior(); |
| test_shifts(); |
| test_add_sub_cmp(); |
| test_mul_inv(); |
| test_valid_point(); |
| return 0; |
| } |