diff --git a/; b/; new file mode 100644 index 0000000..2174673 --- /dev/null +++ b/; @@ -0,0 +1,323 @@ +#include +#include "u2f.h" +#include "ctap.h" +#include "crypto.h" +#include "log.h" +#include "device.h" +#include "app.h" + +// void u2f_response_writeback(uint8_t * buf, uint8_t len); +static int16_t u2f_register(struct u2f_register_request * req); +static int16_t u2f_version(); +static int16_t u2f_authenticate(struct u2f_authenticate_request * req, uint8_t control); +int8_t u2f_response_writeback(const uint8_t * buf, uint16_t len); +int8_t u2f_reset_response(); + +static CTAP_RESPONSE * _u2f_resp = NULL; + +void u2f_request(struct u2f_request_apdu* req, CTAP_RESPONSE * resp) +{ + uint16_t rcode; + uint64_t t1,t2; + uint32_t len = ((req->LC3) | ((uint32_t)req->LC2 << 8) | ((uint32_t)req->LC1 << 16)); + uint8_t byte; + + _u2f_resp = resp; + + if (req->cla != 0) + { + printf1(TAG_U2F, "CLA not zero\n"); + rcode = U2F_SW_CLASS_NOT_SUPPORTED; + goto end; + } +#ifdef BRIDGE_TO_WALLET + struct u2f_authenticate_request * auth = (struct u2f_register_request *) req->payload; + if (req->ins == U2F_AUTHENTICATE) + { + if (req->p1 == U2F_AUTHENTICATE_CHECK) + { +// if (u2f_appid_eq(&req->kh, req->app) == 0) +// { +// rcode = U2F_SW_CONDITIONS_NOT_SATISFIED; +// } +// else +// { + rcode = U2F_SW_WRONG_DATA; +// } + } + else + { + rcode = bridge_u2f_to_wallet(auth->chal, auth->app, auth->khl, &auth->kh); + } + } + else if (req->ins == U2F_VERSION) + { + printf1(TAG_U2F, "U2F_VERSION\n"); + if (len) + { + rcode = U2F_SW_WRONG_LENGTH; + } + else + { + rcode = u2f_version(); + } + } + else + { + rcode = U2F_SW_INS_NOT_SUPPORTED; + } +#else + switch(req->ins) + { + case U2F_REGISTER: + printf1(TAG_U2F, "U2F_REGISTER\n"); + if (len != 64) + { + rcode = U2F_SW_WRONG_LENGTH; + } + else + { + t1 = millis(); + rcode = u2f_register((struct u2f_register_request*)req->payload); + t2 = millis(); + printf1(TAG_TIME,"u2f_register time: %d ms\n", t2-t1); + } + break; + case U2F_AUTHENTICATE: + printf1(TAG_U2F, "U2F_AUTHENTICATE\n"); + t1 = millis(); + rcode = u2f_authenticate((struct u2f_authenticate_request*)req->payload, req->p1); + t2 = millis(); + printf1(TAG_TIME,"u2f_authenticate time: %d ms\n", t2-t1); + break; + case U2F_VERSION: + printf1(TAG_U2F, "U2F_VERSION\n"); + if (len) + { + rcode = U2F_SW_WRONG_LENGTH; + } + else + { + rcode = u2f_version(); + } + break; + case U2F_VENDOR_FIRST: + case U2F_VENDOR_LAST: + printf1(TAG_U2F, "U2F_VENDOR\n"); + rcode = U2F_SW_NO_ERROR; + break; + default: + printf1(TAG_ERR, "Error, unknown U2F command\n"); + rcode = U2F_SW_INS_NOT_SUPPORTED; + break; + } +#endif + +end: + if (rcode != U2F_SW_NO_ERROR) + { + printf1(TAG_U2F,"U2F Error code %04x\n", rcode); + ctap_response_init(_u2f_resp); + } + + byte = (rcode & 0xff00)>>8; + u2f_response_writeback(&byte,1); + byte = rcode & 0xff; + u2f_response_writeback(&byte,1); + + printf1(TAG_U2F,"u2f resp: "); dump_hex1(TAG_U2F, _u2f_resp->data, _u2f_resp->length); +} + + +int8_t u2f_response_writeback(const uint8_t * buf, uint16_t len) +{ + if ((_u2f_resp->length + len) > _u2f_resp->data_size) + { + printf2(TAG_ERR, "Not enough space for U2F response, writeback\n"); + exit(1); + } + memmove(_u2f_resp->data + _u2f_resp->length, buf, len); + _u2f_resp->length += len; + return 0; +} + +int8_t u2f_reset_response() +{ + ctap_response_init(_u2f_resp); +} + + +static void dump_signature_der(uint8_t * sig) +{ + uint8_t sigder[72]; + int len; + len = ctap_encode_der_sig(sig, sigder); + u2f_response_writeback(sigder, len); +} +static int8_t u2f_load_key(struct u2f_key_handle * kh, uint8_t * appid) +{ + crypto_ecc256_load_key((uint8_t*)kh, U2F_KEY_HANDLE_SIZE, NULL, 0); + return 0; +} + +static void u2f_make_auth_tag(struct u2f_key_handle * kh, uint8_t * appid, uint8_t * tag) +{ + uint8_t hashbuf[32]; + crypto_sha256_hmac_init(CRYPTO_MASTER_KEY, 0, hashbuf); + crypto_sha256_update(kh->key, U2F_KEY_HANDLE_KEY_SIZE); + crypto_sha256_update(appid, U2F_APPLICATION_SIZE); + crypto_sha256_hmac_final(CRYPTO_MASTER_KEY, 0,hashbuf); + memmove(tag, hashbuf, CREDENTIAL_TAG_SIZE); +} + +static int8_t u2f_new_keypair(struct u2f_key_handle * kh, uint8_t * appid, uint8_t * pubkey) +{ + ctap_generate_rng(kh->key, U2F_KEY_HANDLE_KEY_SIZE); + u2f_make_auth_tag(kh, appid, kh->tag); + + crypto_ecc256_derive_public_key((uint8_t*)kh, U2F_KEY_HANDLE_SIZE, pubkey, pubkey+32); + return 0; +} + + + +static int8_t u2f_appid_eq(struct u2f_key_handle * kh, uint8_t * appid) +{ + uint8_t tag[U2F_KEY_HANDLE_TAG_SIZE]; + u2f_make_auth_tag(kh, appid, tag); + if (memcmp(kh->tag, tag, U2F_KEY_HANDLE_TAG_SIZE) == 0) + { + return 0; + } + else + { + printf1(TAG_U2F, "key handle + appid not authentic\n"); + printf1(TAG_U2F, "calc tag: \n"); dump_hex1(TAG_U2F,tag, U2F_KEY_HANDLE_TAG_SIZE); + printf1(TAG_U2F, "inp tag: \n"); dump_hex1(TAG_U2F,kh->tag, U2F_KEY_HANDLE_TAG_SIZE); + return -1; + } +} + + + +static int16_t u2f_authenticate(struct u2f_authenticate_request * req, uint8_t control) +{ + + uint8_t up = 1; + uint32_t count; + uint8_t hash[32]; + uint8_t * sig = (uint8_t*)req; + + if (control == U2F_AUTHENTICATE_CHECK) + { + if (u2f_appid_eq(&req->kh, req->app) == 0) + { + return U2F_SW_CONDITIONS_NOT_SATISFIED; + } + else + { + return U2F_SW_WRONG_DATA; + } + } + if ( + control != U2F_AUTHENTICATE_SIGN || + req->khl != U2F_KEY_HANDLE_SIZE || + u2f_appid_eq(&req->kh, req->app) != 0 || // Order of checks is important + u2f_load_key(&req->kh, req->app) != 0 + + ) + { + return U2F_SW_WRONG_PAYLOAD; + } + + + + if (ctap_user_presence_test() == 0) + { + return U2F_SW_CONDITIONS_NOT_SATISFIED; + } + + count = ctap_atomic_count(0); + + crypto_sha256_init(); + + crypto_sha256_update(req->app,32); + crypto_sha256_update(&up,1); + crypto_sha256_update((uint8_t *)&count,4); + crypto_sha256_update(req->chal,32); + + crypto_sha256_final(hash); + + printf1(TAG_U2F, "sha256: "); dump_hex1(TAG_U2F,hash,32); + crypto_ecc256_sign(hash, 32, sig); + + u2f_response_writeback(&up,1); + u2f_response_writeback((uint8_t *)&count,4); + dump_signature_der(sig); + + return U2F_SW_NO_ERROR; +} + +static int16_t u2f_register(struct u2f_register_request * req) +{ + uint8_t i[] = {0x0,U2F_EC_FMT_UNCOMPRESSED}; + + struct u2f_key_handle key_handle; + uint8_t pubkey[64]; + uint8_t hash[32]; + uint8_t * sig = (uint8_t*)req; + + + const uint16_t attest_size = attestation_cert_der_size; + + if ( ! ctap_user_presence_test()) + { + return U2F_SW_CONDITIONS_NOT_SATISFIED; + } + + if ( u2f_new_keypair(&key_handle, req->app, pubkey) == -1) + { + return U2F_SW_INSUFFICIENT_MEMORY; + } + + crypto_sha256_init(); + crypto_sha256_update(i,1); + crypto_sha256_update(req->app,32); + + crypto_sha256_update(req->chal,32); + + crypto_sha256_update((uint8_t*)&key_handle,U2F_KEY_HANDLE_SIZE); + crypto_sha256_update(i+1,1); + crypto_sha256_update(pubkey,64); + crypto_sha256_final(hash); + + crypto_ecc256_load_attestation_key(); + + /*printf("check key handle size: %d vs %d\n", U2F_KEY_HANDLE_SIZE, sizeof(struct u2f_key_handle));*/ + + printf1(TAG_U2F, "sha256: "); dump_hex1(TAG_U2F,hash,32); + crypto_ecc256_sign(hash, 32, sig); + + i[0] = 0x5; + u2f_response_writeback(i,2); + u2f_response_writeback(pubkey,64); + i[0] = U2F_KEY_HANDLE_SIZE; + u2f_response_writeback(i,1); + u2f_response_writeback((uint8_t*)&key_handle,U2F_KEY_HANDLE_SIZE); + + u2f_response_writeback(attestation_cert_der,attest_size); + + dump_signature_der(sig); + + /*printf1(TAG_U2F, "dersig: "); dump_hex1(TAG_U2F,sig,74);*/ + + + return U2F_SW_NO_ERROR; +} + +static int16_t u2f_version() +{ + const char version[] = "U2F_V2"; + u2f_response_writeback((uint8_t*)version, sizeof(version)-1); + return U2F_SW_NO_ERROR; +} diff --git a/Makefile b/Makefile index 5b9d65d..cdef7ff 100644 --- a/Makefile +++ b/Makefile @@ -22,10 +22,12 @@ all: main test: testgcm efm8prog: + cd '.\efm8\Keil 8051 v9.53 - Debug' && $(MAKE) all flashefm8.exe -part EFM8UB10F8G -sn 440105518 -erase flashefm8.exe -part EFM8UB10F8G -sn 440105518 -upload '.\efm8\Keil 8051 v9.53 - Debug\efm8.hex' efm32prog: + cd '.\efm32\GNU ARM v7.2.1 - Debug' && $(MAKE) all commander flash '.\efm32\GNU ARM v7.2.1 - Debug\EFM32.hex' -s 440121060 $(name): $(obj) diff --git a/efm32/src/device.c b/efm32/src/device.c index 69e100c..407fc8d 100644 --- a/efm32/src/device.c +++ b/efm32/src/device.c @@ -25,63 +25,63 @@ // return 1 if success, error otherwise int ctap_generate_rng(uint8_t * dst, size_t num) { - int i; - for (i = 0; i < num; i++) - { - *dst++ = rand(); - } - return 1; + int i; + for (i = 0; i < num; i++) + { + *dst++ = rand(); + } + return 1; } uint32_t _c1 = 0, _c2 = 0; uint32_t ctap_atomic_count(int sel) { - if (sel == 0) - { - _c1++; - return _c1; - } - else - { - _c2++; - return _c2; - } + if (sel == 0) + { + _c1++; + return _c1; + } + else + { + _c2++; + return _c2; + } } // Verify the user // return 1 if user is verified, 0 if not int ctap_user_verification(uint8_t arg) { - return 1; + return 1; } // Test for user presence // Return 1 for user is present, 0 user not present int ctap_user_presence_test() { - return 1; + return 1; } // Must be implemented by application // data is HID_MESSAGE_SIZE long in bytes void ctaphid_write_block(uint8_t * data) { - printf1(TAG_DUMP,"<< "); dump_hex1(TAG_DUMP, data, HID_MESSAGE_SIZE); - usbhid_send(data); + printf1(TAG_DUMP,"<< "); dump_hex1(TAG_DUMP, data, HID_MESSAGE_SIZE); + usbhid_send(data); } void heartbeat() { - static int beat = 0; - GPIO_PinOutToggle(gpioPortF,4); - GPIO_PinOutToggle(gpioPortF,5); + static int beat = 0; + GPIO_PinOutToggle(gpioPortF,4); + GPIO_PinOutToggle(gpioPortF,5); -// printf("heartbeat %d %d\r\n", beat++,CRYOTIMER->CNT); + // printf("heartbeat %d %d\r\n", beat++,CRYOTIMER->CNT); } uint32_t millis() { - return CRYOTIMER->CNT; + return CRYOTIMER->CNT; } @@ -94,62 +94,62 @@ static int msgs_to_recv = 0; static void wait_for_efm8_ready() { - // Wait for efm8 to be ready - while (GPIO_PinInGet(RDY_PIN) == 0) - ; + // Wait for efm8 to be ready + while (GPIO_PinInGet(RDY_PIN) == 0) + ; } static void wait_for_efm8_busy() { - // Wait for efm8 to be ready - while (GPIO_PinInGet(RDY_PIN) != 0) - ; + // Wait for efm8 to be ready + while (GPIO_PinInGet(RDY_PIN) != 0) + ; } int usbhid_recv(uint8_t * msg) { - int i; + int i; - if (GPIO_PinInGet(MSG_AVAIL_PIN) == 0) - { - GPIO_PinOutClear(RW_PIN); // Drive low to indicate READ - wait_for_efm8_ready(); + if (GPIO_PinInGet(MSG_AVAIL_PIN) == 0) + { + GPIO_PinOutClear(RW_PIN); // Drive low to indicate READ + wait_for_efm8_ready(); - for (i = 0; i < 64; i++) - { - msg[i] = USART_SpiTransfer(USART1, 'A'); -// delay(1); - } + for (i = 0; i < 64; i++) + { + msg[i] = USART_SpiTransfer(USART1, 'A'); + // delay(1); + } - GPIO_PinOutSet(RW_PIN); + GPIO_PinOutSet(RW_PIN); - wait_for_efm8_busy(); + wait_for_efm8_busy(); -// msgs_to_recv--; -// printf(">> "); -// dump_hex(msg,64); - return 64; - } + // msgs_to_recv--; + // printf(">> "); + // dump_hex(msg,64); + return 64; + } - return 0; + return 0; } void usbhid_send(uint8_t * msg) { - int i; -// uint32_t t1 = millis(); - USART_SpiTransfer(USART1, *msg++); // Send 1 byte - wait_for_efm8_ready(); + int i; + // uint32_t t1 = millis(); + USART_SpiTransfer(USART1, *msg++); // Send 1 byte + wait_for_efm8_ready(); - for (i = 1; i < HID_MESSAGE_SIZE; i++) - { - USART_SpiTransfer(USART1, *msg++); - } - wait_for_efm8_busy(); -// uint32_t t2 = millis(); -// printf("wait time: %u\n", (uint32_t)(t2-t1)); + for (i = 1; i < HID_MESSAGE_SIZE; i++) + { + USART_SpiTransfer(USART1, *msg++); + } + wait_for_efm8_busy(); + // uint32_t t2 = millis(); + // printf("wait time: %u\n", (uint32_t)(t2-t1)); } @@ -163,67 +163,67 @@ void main_loop_delay() void delay(int ms) { - int t1 = millis(); - while(millis() - t1 < ms) - ; + int t1 = millis(); + while(millis() - t1 < ms) + ; } void GPIO_ODD_IRQHandler() { - uint32_t flag = GPIO->IF; - GPIO->IFC = flag; - if (flag & (1<<9)) - { -// printf("pin 9 interrupt\r\n"); - msgs_to_recv++; - } - else - { - printf1(TAG_ERR,"wrong pin int %x\r\n",flag); - } + uint32_t flag = GPIO->IF; + GPIO->IFC = flag; + if (flag & (1<<9)) + { + // printf("pin 9 interrupt\r\n"); + msgs_to_recv++; + } + else + { + printf1(TAG_ERR,"wrong pin int %x\r\n",flag); + } } void device_init(void) { - /* Chip errata */ - CHIP_Init(); - enter_DefaultMode_from_RESET(); + /* Chip errata */ + CHIP_Init(); + enter_DefaultMode_from_RESET(); - // status LEDS - GPIO_PinModeSet(gpioPortF, - 4, - gpioModePushPull, - 0); + // status LEDS + GPIO_PinModeSet(gpioPortF, + 4, + gpioModePushPull, + 0); - GPIO_PinModeSet(gpioPortF, - 5, - gpioModePushPull, - 1); + GPIO_PinModeSet(gpioPortF, + 5, + gpioModePushPull, + 1); - // EFM8 RDY/BUSY - GPIO_PinModeSet(RDY_PIN, gpioModeInput, 0); + // EFM8 RDY/BUSY + GPIO_PinModeSet(RDY_PIN, gpioModeInput, 0); - // EFM8 MSG Available - GPIO_PinModeSet(MSG_AVAIL_PIN, gpioModeInput, 0); + // EFM8 MSG Available + GPIO_PinModeSet(MSG_AVAIL_PIN, gpioModeInput, 0); - // SPI R/w Indicator - GPIO_PinModeSet(RW_PIN, gpioModePushPull, 1); + // SPI R/w Indicator + GPIO_PinModeSet(RW_PIN, gpioModePushPull, 1); - // USB message rdy ext int -// GPIO_ExtIntConfig(gpioPortC, 9, 9, 1, 0,1); -// NVIC_EnableIRQ(GPIO_ODD_IRQn); + // USB message rdy ext int + // GPIO_ExtIntConfig(gpioPortC, 9, 9, 1, 0,1); + // NVIC_EnableIRQ(GPIO_ODD_IRQn); - printing_init(); + printing_init(); - CborEncoder test; - uint8_t buf[20]; - cbor_encoder_init(&test, buf, 20, 0); + CborEncoder test; + uint8_t buf[20]; + cbor_encoder_init(&test, buf, 20, 0); - printf("Device init\r\n"); - int i=0; + printf("Device init\r\n"); + int i=0; } diff --git a/efm8/src/main.c b/efm8/src/main.c index 2b18120..5e22f5c 100644 --- a/efm8/src/main.c +++ b/efm8/src/main.c @@ -184,7 +184,7 @@ int main(void) { // Did we RX data and have room? if ((SPI0CFG & (0x1)) == 0 && USB_TX_COUNT < 511/2) { - writebackbuf[writebackbuf_count++] = SPI0DAT; // void the first byte + writebackbuf[writebackbuf_count++] = SPI0DAT; SIGNAL_WRITE_RDY(); while(writebackbuf_count < 64) @@ -210,7 +210,8 @@ int main(void) { P1_B5 = k++&1; t1 = millis(); } - if (!USBD_EpIsBusy(EP2OUT) && !USBD_EpIsBusy(EP3IN) && lastcount==count) +// if (!USBD_EpIsBusy(EP2OUT) && !USBD_EpIsBusy(EP3IN) && lastcount==count) + if (!USBD_EpIsBusy(EP2OUT) && lastcount==count) { // cprintd("sched read to ",1,(int)(hidmsgbuf + write_ptr*64)); if (count == BUFFER_SIZE) diff --git a/fido2/ctap.c b/fido2/ctap.c index c4bcac2..978580d 100644 --- a/fido2/ctap.c +++ b/fido2/ctap.c @@ -12,11 +12,13 @@ #include "util.h" #include "log.h" #include "device.h" +#include "app.h" +#include "wallet.h" #define PIN_TOKEN_SIZE 16 -static uint8_t PIN_TOKEN[PIN_TOKEN_SIZE]; -static uint8_t KEY_AGREEMENT_PUB[64]; +uint8_t PIN_TOKEN[PIN_TOKEN_SIZE]; +uint8_t KEY_AGREEMENT_PUB[64]; static uint8_t KEY_AGREEMENT_PRIV[32]; static uint8_t PIN_CODE_SET = 0; static uint8_t PIN_CODE[NEW_PIN_ENC_MAX_SIZE]; @@ -915,10 +917,9 @@ uint8_t ctap_update_pin_if_verified(uint8_t * pinEnc, int len, uint8_t * platfor return 0; } -uint8_t ctap_add_pin_if_verified(CborEncoder * map, uint8_t * platform_pubkey, uint8_t * pinHashEnc) +uint8_t ctap_add_pin_if_verified(uint8_t * pinTokenEnc, uint8_t * platform_pubkey, uint8_t * pinHashEnc) { uint8_t shared_secret[32]; - int ret; crypto_ecc256_shared_secret(platform_pubkey, KEY_AGREEMENT_PRIV, shared_secret); @@ -936,6 +937,9 @@ uint8_t ctap_add_pin_if_verified(CborEncoder * map, uint8_t * platform_pubkey, u printf2(TAG_ERR,"Pin does not match!\n"); printf2(TAG_ERR,"platform-pin-hash: "); dump_hex1(TAG_ERR, pinHashEnc, 16); printf2(TAG_ERR,"authentic-pin-hash: "); dump_hex1(TAG_ERR, PIN_CODE_HASH, 16); + printf2(TAG_ERR,"shared-secret: "); dump_hex1(TAG_ERR, shared_secret, 32); + printf2(TAG_ERR,"platform-pubkey: "); dump_hex1(TAG_ERR, platform_pubkey, 64); + printf2(TAG_ERR,"device-pubkey: "); dump_hex1(TAG_ERR, KEY_AGREEMENT_PUB, 64); // Generate new keyAgreement pair crypto_ecc256_make_key_pair(KEY_AGREEMENT_PUB, KEY_AGREEMENT_PRIV); ctap_decrement_pin_attempts(); @@ -945,12 +949,8 @@ uint8_t ctap_add_pin_if_verified(CborEncoder * map, uint8_t * platform_pubkey, u ctap_reset_pin_attempts(); crypto_aes256_reset_iv(NULL); - // reuse share_secret memory for encrypted pinToken - memmove(shared_secret, PIN_TOKEN, PIN_TOKEN_SIZE); - crypto_aes256_encrypt(shared_secret, PIN_TOKEN_SIZE); - - ret = cbor_encode_byte_string(map, shared_secret, PIN_TOKEN_SIZE); - check_ret(ret); + memmove(pinTokenEnc, PIN_TOKEN, PIN_TOKEN_SIZE); + crypto_aes256_encrypt(pinTokenEnc, PIN_TOKEN_SIZE); return 0; } @@ -959,6 +959,7 @@ uint8_t ctap_client_pin(CborEncoder * encoder, uint8_t * request, int length) { CTAP_clientPin CP; CborEncoder map; + uint8_t pinTokenEnc[PIN_TOKEN_SIZE]; int ret = ctap_parse_client_pin(&CP,request,length); @@ -1046,9 +1047,15 @@ uint8_t ctap_client_pin(CborEncoder * encoder, uint8_t * request, int length) ret = cbor_encode_int(&map, RESP_pinToken); check_ret(ret); - ret = ctap_add_pin_if_verified(&map, (uint8_t*)&CP.keyAgreement.pubkey, CP.pinHashEnc); + /*ret = ctap_add_pin_if_verified(&map, (uint8_t*)&CP.keyAgreement.pubkey, CP.pinHashEnc);*/ + ret = ctap_add_pin_if_verified(pinTokenEnc, (uint8_t*)&CP.keyAgreement.pubkey, CP.pinHashEnc); check_retr(ret); + ret = cbor_encode_byte_string(&map, pinTokenEnc, PIN_TOKEN_SIZE); + check_ret(ret); + + + break; default: @@ -1214,6 +1221,11 @@ void ctap_init() } crypto_ecc256_make_key_pair(KEY_AGREEMENT_PUB, KEY_AGREEMENT_PRIV); + +#ifdef BRIDGE_TO_WALLET + wallet_init(); +#endif + } uint8_t ctap_is_pin_set() diff --git a/fido2/ctap.h b/fido2/ctap.h index 013fa9d..d1a6d46 100644 --- a/fido2/ctap.h +++ b/fido2/ctap.h @@ -248,6 +248,8 @@ void ctap_init(); // Resets state between different accesses of different applications void ctap_reset_state(); +uint8_t ctap_add_pin_if_verified(uint8_t * pinTokenEnc, uint8_t * platform_pubkey, uint8_t * pinHashEnc); + void ctap_update_pin(uint8_t * pin, int len); uint8_t ctap_decrement_pin_attempts(); int8_t ctap_leftover_pin_attempts(); @@ -257,8 +259,9 @@ uint8_t ctap_pin_matches(uint8_t * pin, int len); void ctap_reset(); int8_t ctap_device_locked(); - - +#define PIN_TOKEN_SIZE 16 +extern uint8_t PIN_TOKEN[PIN_TOKEN_SIZE]; +extern uint8_t KEY_AGREEMENT_PUB[64]; #endif diff --git a/fido2/u2f.c b/fido2/u2f.c index 46a56d8..74b7bba 100644 --- a/fido2/u2f.c +++ b/fido2/u2f.c @@ -11,6 +11,7 @@ static int16_t u2f_register(struct u2f_register_request * req); static int16_t u2f_version(); static int16_t u2f_authenticate(struct u2f_authenticate_request * req, uint8_t control); int8_t u2f_response_writeback(const uint8_t * buf, uint16_t len); +void u2f_reset_response(); static CTAP_RESPONSE * _u2f_resp = NULL; @@ -30,23 +31,23 @@ void u2f_request(struct u2f_request_apdu* req, CTAP_RESPONSE * resp) goto end; } #ifdef BRIDGE_TO_WALLET - struct u2f_authenticate_request * auth = (struct u2f_register_request *) req->payload; + struct u2f_authenticate_request * auth = (struct u2f_authenticate_request *) req->payload; if (req->ins == U2F_AUTHENTICATE) { if (req->p1 == U2F_AUTHENTICATE_CHECK) { -// if (u2f_appid_eq(&req->kh, req->app) == 0) -// { -// rcode = U2F_SW_CONDITIONS_NOT_SATISFIED; +// if (u2f_appid_eq(&req->kh, req->app) == 0) +// { +// rcode = U2F_SW_CONDITIONS_NOT_SATISFIED; // } // else -// { - rcode = U2F_SW_WRONG_DATA; -// } +// { + rcode = U2F_SW_WRONG_DATA; +// } } else { - rcode = bridge_u2f_to_wallet(auth->chal, auth->app, auth->khl, &auth->kh); + rcode = bridge_u2f_to_wallet(auth->chal, auth->app, auth->khl, &auth->kh); } } else if (req->ins == U2F_VERSION) @@ -140,6 +141,10 @@ int8_t u2f_response_writeback(const uint8_t * buf, uint16_t len) return 0; } +void u2f_reset_response() +{ + ctap_response_init(_u2f_resp); +} static void dump_signature_der(uint8_t * sig) diff --git a/fido2/u2f.h b/fido2/u2f.h index 1128c49..beb5f1b 100644 --- a/fido2/u2f.h +++ b/fido2/u2f.h @@ -94,6 +94,7 @@ void u2f_request(struct u2f_request_apdu* req, CTAP_RESPONSE * resp); int8_t u2f_response_writeback(const uint8_t * buf, uint16_t len); +void u2f_reset_response(); ////////////////////////////////////////////////////////////////// diff --git a/fido2/wallet.c b/fido2/wallet.c index 0e27da7..177958f 100644 --- a/fido2/wallet.c +++ b/fido2/wallet.c @@ -6,58 +6,202 @@ */ #include "wallet.h" #include "ctap.h" +#include "ctap_errors.h" +#include "crypto.h" #include "u2f.h" #include "log.h" +#include "util.h" typedef enum { - WalletSign = 0x10, - WalletRegister = 0x11, - WalletPin = 0x12, + WalletSign = 0x10, + WalletRegister = 0x11, + WalletPin = 0x12, } WalletOperation; -int16_t bridge_u2f_to_wallet(uint8_t * chal, uint8_t * appid, uint8_t klen, uint8_t * keyh) +// return 1 if hash is valid, 0 otherwise +int check_pinhash(uint8_t * pinAuth, uint8_t * msg, uint8_t len) { - static uint8_t msg_buf[WALLET_MAX_BUFFER]; - int reqlen = klen; + uint8_t hmac[32]; + crypto_sha256_hmac_init(PIN_TOKEN, PIN_TOKEN_SIZE, hmac); + crypto_sha256_update(msg, 4); + crypto_sha256_update(msg+ 4 + 16, len - 4 - 16); + crypto_sha256_hmac_final(PIN_TOKEN, PIN_TOKEN_SIZE, hmac); - uint32_t count; - uint8_t up = 1; - uint8_t sig[72]; + printf1(TAG_WALLET, "recalc pinhash:"); dump_hex1(TAG_WALLET, hmac,32); + + return (memcmp(pinAuth, hmac, 16) == 0); +} +/*int16_t wallet_sign(uint8_t alg, uint8_t * chal, uint8_t len, uint8_t * kh, uint8_t kl)*/ +/*{*/ + /*crypto_sha256_hmac_init(uint8_t * key, uint32_t klen, uint8_t * hmac);*/ +/*}*/ + +void wallet_init() +{ + // TODO dont leave this + printf1(TAG_WALLET,"Wallet is ready\n"); + + + ctap_update_pin("1234", 4); + +} + +int8_t wallet_pin(uint8_t subcmd, uint8_t * pinAuth, uint8_t * arg1, uint8_t * arg2) +{ + uint8_t pinTokenEnc[PIN_TOKEN_SIZE]; + int ret; + + switch(subcmd) + { + case CP_cmdGetKeyAgreement: + printf1(TAG_WALLET,"cmdGetKeyAgreement\n"); + + u2f_response_writeback(KEY_AGREEMENT_PUB,sizeof(KEY_AGREEMENT_PUB)); + printf1(TAG_WALLET,"pubkey: "); dump_hex1(TAG_WALLET,KEY_AGREEMENT_PUB,64); + + break; + case CP_cmdGetRetries: + printf1(TAG_WALLET,"cmdGetRetries\n"); + return CTAP2_ERR_UNSUPPORTED_OPTION; + break; + case CP_cmdSetPin: + printf1(TAG_WALLET,"cmdSetPin\n"); + return CTAP2_ERR_UNSUPPORTED_OPTION; + break; + case CP_cmdChangePin: + printf1(TAG_WALLET,"cmdChangePin\n"); + return CTAP2_ERR_UNSUPPORTED_OPTION; + break; + case CP_cmdGetPinToken: + printf1(TAG_WALLET,"cmdGetPinToken\n"); + + ret = ctap_add_pin_if_verified(pinTokenEnc, arg1, pinAuth); // pubkey, pinHashEnc + if (ret != 0) + return ret; + + printf1(TAG_WALLET,"pinToken: "); dump_hex1(TAG_WALLET, PIN_TOKEN, 16); + u2f_response_writeback(pinTokenEnc, PIN_TOKEN_SIZE); + + break; + + default: + printf2(TAG_ERR,"Error, invalid client pin subcommand\n"); + return CTAP2_ERR_INVALID_OPTION; + } - wallet_request * req = (wallet_request *) msg_buf; + return 0; +} -// memmove(msg_buf, chal, 32); - memmove(msg_buf, keyh, klen); +int16_t bridge_u2f_to_wallet(uint8_t * _chal, uint8_t * _appid, uint8_t klen, uint8_t * keyh) +{ + static uint8_t msg_buf[WALLET_MAX_BUFFER]; + int reqlen = klen; + int i; + int8_t ret = 0; + uint32_t count; + uint8_t up = 1; + uint8_t sig[200]; - count = ctap_atomic_count(0); + uint8_t * args[5] = {NULL,NULL,NULL,NULL,NULL}; + uint8_t lens[5]; - switch(req->operation) - { - case WalletSign: - printf1(TAG_WALLET,"WalletSign\n"); - break; - case WalletRegister: - printf1(TAG_WALLET,"WalletRegister\n"); - break; - case WalletPin: - printf1(TAG_WALLET,"WalletPin\n"); - break; - default: - printf2(TAG_ERR,"Invalid wallet command: %x\n",req->operation); - break; - } -// printf1(TAG_WALLET, "chal: "); dump_hex1(TAG_WALLET, chal,32); -// printf1(TAG_WALLET, "appid: "); dump_hex1(TAG_WALLET, appid,32); -// printf1(TAG_WALLET, "keyh: "); dump_hex1(TAG_WALLET, keyh,klen); -// printf1(TAG_WALLET, "u2f2wallet: "); dump_hex1(TAG_WALLET, msg_buf,reqlen); + for (i = 0; i < sizeof(sig); i++) + { + sig[i] = i; + } + + wallet_request * req = (wallet_request *) msg_buf; + uint8_t * payload = req->payload; + + memmove(msg_buf, keyh, klen); + + printf1(TAG_WALLET, "u2f2wallet [%d]: ",reqlen); dump_hex1(TAG_WALLET, msg_buf,reqlen); + + count = ctap_atomic_count(0); u2f_response_writeback(&up,1); u2f_response_writeback((uint8_t *)&count,4); - u2f_response_writeback(sig,72); + u2f_response_writeback((uint8_t *)&ret,1); - return U2F_SW_NO_ERROR; + int offset = 0; + for (i = 0; i < MIN(5,req->numArgs); i++) + { + if (offset > MAX_PAYLOAD_SIZE) + { + ret = CTAP1_ERR_INVALID_LENGTH; + goto cleanup; + } + lens[i] = *(payload + offset); + offset++; + args[i] = payload + offset; + offset += lens[i]; + } + if (offset > MAX_PAYLOAD_SIZE) + { + ret = CTAP1_ERR_INVALID_LENGTH; + printf2(TAG_ERR,"Wallet operation lengths too big\n"); + goto cleanup; + } + + + switch(req->operation) + { + case WalletSign: + printf1(TAG_WALLET,"WalletSign\n"); + printf1(TAG_WALLET,"pinAuth:"); dump_hex1(TAG_WALLET, req->pinAuth, 16); + + if (args[0] == NULL) + { + ret = CTAP2_ERR_MISSING_PARAMETER; + printf2(TAG_ERR,"Missing parameter for WalletSign\n"); + goto cleanup; + } + + printf1(TAG_WALLET,"challenge:"); dump_hex1(TAG_WALLET, args[0], lens[0]); + if (args[1] != NULL) printf1(TAG_WALLET,"keyid:"); dump_hex1(TAG_WALLET, args[1], lens[1]); + + if (check_pinhash(req->pinAuth, msg_buf, reqlen)) + { + printf1(TAG_WALLET,"pinAuth is valid\n"); + } + else + { + printf1(TAG_WALLET,"pinAuth is NOT valid\n"); + ret = CTAP2_ERR_PIN_AUTH_INVALID; + goto cleanup; + } + break; + case WalletRegister: + printf1(TAG_WALLET,"WalletRegister\n"); + break; + case WalletPin: + printf1(TAG_WALLET,"WalletPin\n"); + ret = wallet_pin(req->p1, req->pinAuth, args[0], args[1]); + break; + default: + printf2(TAG_ERR,"Invalid wallet command: %x\n",req->operation); + ret = CTAP1_ERR_INVALID_COMMAND; + break; + } + +cleanup: + if (ret != 0) + { + u2f_reset_response(); + u2f_response_writeback(&up,1); + u2f_response_writeback((uint8_t *)&count,4); + + memset(sig,0,sizeof(sig)); + sig[0] = ret; + u2f_response_writeback(sig,72); + } + else + { + /*u2f_response_writeback(sig,sizeof(sig));*/ + } + return U2F_SW_NO_ERROR; } diff --git a/fido2/wallet.h b/fido2/wallet.h index e7f8c34..bc450f9 100644 --- a/fido2/wallet.h +++ b/fido2/wallet.h @@ -16,6 +16,7 @@ // op: 0x10 // authType: 0x00 //sign? // reserved: 0x00 // mbedtls signature alg identifier +// pinAuth: data[16] // challenge-length: 1-255 // challenge: data[1-255] // keyID-length: 1-255 @@ -53,13 +54,25 @@ // Returns public key OR pinAuth +#define MAX_CHALLENGE_SIZE 233 +#define MAX_KEYID_SIZE 232 + +#define MAX_PAYLOAD_SIZE (255 - 16 - 4) + typedef struct { - uint8_t operation; - uint8_t authType; - uint8_t keyType; -} wallet_request; + uint8_t operation; + uint8_t p1; + uint8_t p2; + uint8_t numArgs; + uint8_t pinAuth[16]; + uint8_t payload[MAX_PAYLOAD_SIZE]; +}__attribute__((packed)) wallet_request; + + int16_t bridge_u2f_to_wallet(uint8_t * chal, uint8_t * appid, uint8_t klen, uint8_t * keyh); +void wallet_init(); + #endif /* WALLET_H_ */ diff --git a/tools/ctap_test.py b/tools/ctap_test.py index 1cdb081..31643fc 100644 --- a/tools/ctap_test.py +++ b/tools/ctap_test.py @@ -99,8 +99,9 @@ class Tester(): raise ValueError('Unexpected error: %02x' % data[0]) def test_long_ping(self): + amt = 1000 while 1 : - pingdata = os.urandom(1000) + pingdata = os.urandom(amt) try: t1 = time.time() * 1000 r = self.send_data(CTAPHID.PING, pingdata) @@ -108,7 +109,7 @@ class Tester(): delt = t2 - t1 #if (delt < 140 ): #raise RuntimeError('Fob is too fast (%d ms)' % delt) - if (delt > 555): + if (delt > 555 * (amt/1000)): raise RuntimeError('Fob is too slow (%d ms)' % delt) if (r != pingdata): raise ValueError('Ping data not echo\'d') @@ -117,6 +118,8 @@ class Tester(): print('7609 byte Ping failed:', e) raise RuntimeError('ping failed') print('PASS: 7609 byte ping') + #sys.flush(sys.sto) + sys.stdout.flush() def test_hid(self,): @@ -571,7 +574,7 @@ if __name__ == '__main__': t = Tester() t.find_device() #t.test_hid() - #t.test_long_ping() + t.test_long_ping() #t.test_fido2() #test_find_brute_force() #t.test_fido2_simple() diff --git a/web/index.html b/web/index.html index 99b9a18..9642222 100644 --- a/web/index.html +++ b/web/index.html @@ -4,84 +4,9 @@

U2F Bridge Demo

- - + + + + + diff --git a/web/js/aes.js b/web/js/aes.js new file mode 100644 index 0000000..0a1f19c --- /dev/null +++ b/web/js/aes.js @@ -0,0 +1,803 @@ +"use strict"; + +(function(root) { + + function checkInt(value) { + return (parseInt(value) === value); + } + + function checkInts(arrayish) { + if (!checkInt(arrayish.length)) { return false; } + + for (var i = 0; i < arrayish.length; i++) { + if (!checkInt(arrayish[i]) || arrayish[i] < 0 || arrayish[i] > 255) { + return false; + } + } + + return true; + } + + function coerceArray(arg, copy) { + + // ArrayBuffer view + if (arg.buffer && ArrayBuffer.isView(arg) && arg.name === 'Uint8Array') { + + if (copy) { + if (arg.slice) { + arg = arg.slice(); + } else { + arg = Array.prototype.slice.call(arg); + } + } + + return arg; + } + + // It's an array; check it is a valid representation of a byte + if (Array.isArray(arg)) { + if (!checkInts(arg)) { + throw new Error('Array contains invalid value: ' + arg); + } + + return new Uint8Array(arg); + } + + // Something else, but behaves like an array (maybe a Buffer? Arguments?) + if (checkInt(arg.length) && checkInts(arg)) { + return new Uint8Array(arg); + } + + throw new Error('unsupported array-like object'); + } + + function createArray(length) { + return new Uint8Array(length); + } + + function copyArray(sourceArray, targetArray, targetStart, sourceStart, sourceEnd) { + if (sourceStart != null || sourceEnd != null) { + if (sourceArray.slice) { + sourceArray = sourceArray.slice(sourceStart, sourceEnd); + } else { + sourceArray = Array.prototype.slice.call(sourceArray, sourceStart, sourceEnd); + } + } + targetArray.set(sourceArray, targetStart); + } + + + + var convertUtf8 = (function() { + function toBytes(text) { + var result = [], i = 0; + text = encodeURI(text); + while (i < text.length) { + var c = text.charCodeAt(i++); + + // if it is a % sign, encode the following 2 bytes as a hex value + if (c === 37) { + result.push(parseInt(text.substr(i, 2), 16)) + i += 2; + + // otherwise, just the actual byte + } else { + result.push(c) + } + } + + return coerceArray(result); + } + + function fromBytes(bytes) { + var result = [], i = 0; + + while (i < bytes.length) { + var c = bytes[i]; + + if (c < 128) { + result.push(String.fromCharCode(c)); + i++; + } else if (c > 191 && c < 224) { + result.push(String.fromCharCode(((c & 0x1f) << 6) | (bytes[i + 1] & 0x3f))); + i += 2; + } else { + result.push(String.fromCharCode(((c & 0x0f) << 12) | ((bytes[i + 1] & 0x3f) << 6) | (bytes[i + 2] & 0x3f))); + i += 3; + } + } + + return result.join(''); + } + + return { + toBytes: toBytes, + fromBytes: fromBytes, + } + })(); + + var convertHex = (function() { + function toBytes(text) { + var result = []; + for (var i = 0; i < text.length; i += 2) { + result.push(parseInt(text.substr(i, 2), 16)); + } + + return result; + } + + // http://ixti.net/development/javascript/2011/11/11/base64-encodedecode-of-utf8-in-browser-with-js.html + var Hex = '0123456789abcdef'; + + function fromBytes(bytes) { + var result = []; + for (var i = 0; i < bytes.length; i++) { + var v = bytes[i]; + result.push(Hex[(v & 0xf0) >> 4] + Hex[v & 0x0f]); + } + return result.join(''); + } + + return { + toBytes: toBytes, + fromBytes: fromBytes, + } + })(); + + + // Number of rounds by keysize + var numberOfRounds = {16: 10, 24: 12, 32: 14} + + // Round constant words + var rcon = [0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36, 0x6c, 0xd8, 0xab, 0x4d, 0x9a, 0x2f, 0x5e, 0xbc, 0x63, 0xc6, 0x97, 0x35, 0x6a, 0xd4, 0xb3, 0x7d, 0xfa, 0xef, 0xc5, 0x91]; + + // S-box and Inverse S-box (S is for Substitution) + var S = [0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76, 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0, 0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15, 0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75, 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84, 0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf, 0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8, 0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2, 0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73, 0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb, 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79, 0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08, 0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a, 0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e, 0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf, 0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16]; + var Si =[0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb, 0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb, 0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e, 0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25, 0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92, 0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84, 0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06, 0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b, 0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73, 0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e, 0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b, 0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4, 0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f, 0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef, 0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61, 0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d]; + + // Transformations for encryption + var T1 = [0xc66363a5, 0xf87c7c84, 0xee777799, 0xf67b7b8d, 0xfff2f20d, 0xd66b6bbd, 0xde6f6fb1, 0x91c5c554, 0x60303050, 0x02010103, 0xce6767a9, 0x562b2b7d, 0xe7fefe19, 0xb5d7d762, 0x4dababe6, 0xec76769a, 0x8fcaca45, 0x1f82829d, 0x89c9c940, 0xfa7d7d87, 0xeffafa15, 0xb25959eb, 0x8e4747c9, 0xfbf0f00b, 0x41adadec, 0xb3d4d467, 0x5fa2a2fd, 0x45afafea, 0x239c9cbf, 0x53a4a4f7, 0xe4727296, 0x9bc0c05b, 0x75b7b7c2, 0xe1fdfd1c, 0x3d9393ae, 0x4c26266a, 0x6c36365a, 0x7e3f3f41, 0xf5f7f702, 0x83cccc4f, 0x6834345c, 0x51a5a5f4, 0xd1e5e534, 0xf9f1f108, 0xe2717193, 0xabd8d873, 0x62313153, 0x2a15153f, 0x0804040c, 0x95c7c752, 0x46232365, 0x9dc3c35e, 0x30181828, 0x379696a1, 0x0a05050f, 0x2f9a9ab5, 0x0e070709, 0x24121236, 0x1b80809b, 0xdfe2e23d, 0xcdebeb26, 0x4e272769, 0x7fb2b2cd, 0xea75759f, 0x1209091b, 0x1d83839e, 0x582c2c74, 0x341a1a2e, 0x361b1b2d, 0xdc6e6eb2, 0xb45a5aee, 0x5ba0a0fb, 0xa45252f6, 0x763b3b4d, 0xb7d6d661, 0x7db3b3ce, 0x5229297b, 0xdde3e33e, 0x5e2f2f71, 0x13848497, 0xa65353f5, 0xb9d1d168, 0x00000000, 0xc1eded2c, 0x40202060, 0xe3fcfc1f, 0x79b1b1c8, 0xb65b5bed, 0xd46a6abe, 0x8dcbcb46, 0x67bebed9, 0x7239394b, 0x944a4ade, 0x984c4cd4, 0xb05858e8, 0x85cfcf4a, 0xbbd0d06b, 0xc5efef2a, 0x4faaaae5, 0xedfbfb16, 0x864343c5, 0x9a4d4dd7, 0x66333355, 0x11858594, 0x8a4545cf, 0xe9f9f910, 0x04020206, 0xfe7f7f81, 0xa05050f0, 0x783c3c44, 0x259f9fba, 0x4ba8a8e3, 0xa25151f3, 0x5da3a3fe, 0x804040c0, 0x058f8f8a, 0x3f9292ad, 0x219d9dbc, 0x70383848, 0xf1f5f504, 0x63bcbcdf, 0x77b6b6c1, 0xafdada75, 0x42212163, 0x20101030, 0xe5ffff1a, 0xfdf3f30e, 0xbfd2d26d, 0x81cdcd4c, 0x180c0c14, 0x26131335, 0xc3ecec2f, 0xbe5f5fe1, 0x359797a2, 0x884444cc, 0x2e171739, 0x93c4c457, 0x55a7a7f2, 0xfc7e7e82, 0x7a3d3d47, 0xc86464ac, 0xba5d5de7, 0x3219192b, 0xe6737395, 0xc06060a0, 0x19818198, 0x9e4f4fd1, 0xa3dcdc7f, 0x44222266, 0x542a2a7e, 0x3b9090ab, 0x0b888883, 0x8c4646ca, 0xc7eeee29, 0x6bb8b8d3, 0x2814143c, 0xa7dede79, 0xbc5e5ee2, 0x160b0b1d, 0xaddbdb76, 0xdbe0e03b, 0x64323256, 0x743a3a4e, 0x140a0a1e, 0x924949db, 0x0c06060a, 0x4824246c, 0xb85c5ce4, 0x9fc2c25d, 0xbdd3d36e, 0x43acacef, 0xc46262a6, 0x399191a8, 0x319595a4, 0xd3e4e437, 0xf279798b, 0xd5e7e732, 0x8bc8c843, 0x6e373759, 0xda6d6db7, 0x018d8d8c, 0xb1d5d564, 0x9c4e4ed2, 0x49a9a9e0, 0xd86c6cb4, 0xac5656fa, 0xf3f4f407, 0xcfeaea25, 0xca6565af, 0xf47a7a8e, 0x47aeaee9, 0x10080818, 0x6fbabad5, 0xf0787888, 0x4a25256f, 0x5c2e2e72, 0x381c1c24, 0x57a6a6f1, 0x73b4b4c7, 0x97c6c651, 0xcbe8e823, 0xa1dddd7c, 0xe874749c, 0x3e1f1f21, 0x964b4bdd, 0x61bdbddc, 0x0d8b8b86, 0x0f8a8a85, 0xe0707090, 0x7c3e3e42, 0x71b5b5c4, 0xcc6666aa, 0x904848d8, 0x06030305, 0xf7f6f601, 0x1c0e0e12, 0xc26161a3, 0x6a35355f, 0xae5757f9, 0x69b9b9d0, 0x17868691, 0x99c1c158, 0x3a1d1d27, 0x279e9eb9, 0xd9e1e138, 0xebf8f813, 0x2b9898b3, 0x22111133, 0xd26969bb, 0xa9d9d970, 0x078e8e89, 0x339494a7, 0x2d9b9bb6, 0x3c1e1e22, 0x15878792, 0xc9e9e920, 0x87cece49, 0xaa5555ff, 0x50282878, 0xa5dfdf7a, 0x038c8c8f, 0x59a1a1f8, 0x09898980, 0x1a0d0d17, 0x65bfbfda, 0xd7e6e631, 0x844242c6, 0xd06868b8, 0x824141c3, 0x299999b0, 0x5a2d2d77, 0x1e0f0f11, 0x7bb0b0cb, 0xa85454fc, 0x6dbbbbd6, 0x2c16163a]; + var T2 = [0xa5c66363, 0x84f87c7c, 0x99ee7777, 0x8df67b7b, 0x0dfff2f2, 0xbdd66b6b, 0xb1de6f6f, 0x5491c5c5, 0x50603030, 0x03020101, 0xa9ce6767, 0x7d562b2b, 0x19e7fefe, 0x62b5d7d7, 0xe64dabab, 0x9aec7676, 0x458fcaca, 0x9d1f8282, 0x4089c9c9, 0x87fa7d7d, 0x15effafa, 0xebb25959, 0xc98e4747, 0x0bfbf0f0, 0xec41adad, 0x67b3d4d4, 0xfd5fa2a2, 0xea45afaf, 0xbf239c9c, 0xf753a4a4, 0x96e47272, 0x5b9bc0c0, 0xc275b7b7, 0x1ce1fdfd, 0xae3d9393, 0x6a4c2626, 0x5a6c3636, 0x417e3f3f, 0x02f5f7f7, 0x4f83cccc, 0x5c683434, 0xf451a5a5, 0x34d1e5e5, 0x08f9f1f1, 0x93e27171, 0x73abd8d8, 0x53623131, 0x3f2a1515, 0x0c080404, 0x5295c7c7, 0x65462323, 0x5e9dc3c3, 0x28301818, 0xa1379696, 0x0f0a0505, 0xb52f9a9a, 0x090e0707, 0x36241212, 0x9b1b8080, 0x3ddfe2e2, 0x26cdebeb, 0x694e2727, 0xcd7fb2b2, 0x9fea7575, 0x1b120909, 0x9e1d8383, 0x74582c2c, 0x2e341a1a, 0x2d361b1b, 0xb2dc6e6e, 0xeeb45a5a, 0xfb5ba0a0, 0xf6a45252, 0x4d763b3b, 0x61b7d6d6, 0xce7db3b3, 0x7b522929, 0x3edde3e3, 0x715e2f2f, 0x97138484, 0xf5a65353, 0x68b9d1d1, 0x00000000, 0x2cc1eded, 0x60402020, 0x1fe3fcfc, 0xc879b1b1, 0xedb65b5b, 0xbed46a6a, 0x468dcbcb, 0xd967bebe, 0x4b723939, 0xde944a4a, 0xd4984c4c, 0xe8b05858, 0x4a85cfcf, 0x6bbbd0d0, 0x2ac5efef, 0xe54faaaa, 0x16edfbfb, 0xc5864343, 0xd79a4d4d, 0x55663333, 0x94118585, 0xcf8a4545, 0x10e9f9f9, 0x06040202, 0x81fe7f7f, 0xf0a05050, 0x44783c3c, 0xba259f9f, 0xe34ba8a8, 0xf3a25151, 0xfe5da3a3, 0xc0804040, 0x8a058f8f, 0xad3f9292, 0xbc219d9d, 0x48703838, 0x04f1f5f5, 0xdf63bcbc, 0xc177b6b6, 0x75afdada, 0x63422121, 0x30201010, 0x1ae5ffff, 0x0efdf3f3, 0x6dbfd2d2, 0x4c81cdcd, 0x14180c0c, 0x35261313, 0x2fc3ecec, 0xe1be5f5f, 0xa2359797, 0xcc884444, 0x392e1717, 0x5793c4c4, 0xf255a7a7, 0x82fc7e7e, 0x477a3d3d, 0xacc86464, 0xe7ba5d5d, 0x2b321919, 0x95e67373, 0xa0c06060, 0x98198181, 0xd19e4f4f, 0x7fa3dcdc, 0x66442222, 0x7e542a2a, 0xab3b9090, 0x830b8888, 0xca8c4646, 0x29c7eeee, 0xd36bb8b8, 0x3c281414, 0x79a7dede, 0xe2bc5e5e, 0x1d160b0b, 0x76addbdb, 0x3bdbe0e0, 0x56643232, 0x4e743a3a, 0x1e140a0a, 0xdb924949, 0x0a0c0606, 0x6c482424, 0xe4b85c5c, 0x5d9fc2c2, 0x6ebdd3d3, 0xef43acac, 0xa6c46262, 0xa8399191, 0xa4319595, 0x37d3e4e4, 0x8bf27979, 0x32d5e7e7, 0x438bc8c8, 0x596e3737, 0xb7da6d6d, 0x8c018d8d, 0x64b1d5d5, 0xd29c4e4e, 0xe049a9a9, 0xb4d86c6c, 0xfaac5656, 0x07f3f4f4, 0x25cfeaea, 0xafca6565, 0x8ef47a7a, 0xe947aeae, 0x18100808, 0xd56fbaba, 0x88f07878, 0x6f4a2525, 0x725c2e2e, 0x24381c1c, 0xf157a6a6, 0xc773b4b4, 0x5197c6c6, 0x23cbe8e8, 0x7ca1dddd, 0x9ce87474, 0x213e1f1f, 0xdd964b4b, 0xdc61bdbd, 0x860d8b8b, 0x850f8a8a, 0x90e07070, 0x427c3e3e, 0xc471b5b5, 0xaacc6666, 0xd8904848, 0x05060303, 0x01f7f6f6, 0x121c0e0e, 0xa3c26161, 0x5f6a3535, 0xf9ae5757, 0xd069b9b9, 0x91178686, 0x5899c1c1, 0x273a1d1d, 0xb9279e9e, 0x38d9e1e1, 0x13ebf8f8, 0xb32b9898, 0x33221111, 0xbbd26969, 0x70a9d9d9, 0x89078e8e, 0xa7339494, 0xb62d9b9b, 0x223c1e1e, 0x92158787, 0x20c9e9e9, 0x4987cece, 0xffaa5555, 0x78502828, 0x7aa5dfdf, 0x8f038c8c, 0xf859a1a1, 0x80098989, 0x171a0d0d, 0xda65bfbf, 0x31d7e6e6, 0xc6844242, 0xb8d06868, 0xc3824141, 0xb0299999, 0x775a2d2d, 0x111e0f0f, 0xcb7bb0b0, 0xfca85454, 0xd66dbbbb, 0x3a2c1616]; + var T3 = [0x63a5c663, 0x7c84f87c, 0x7799ee77, 0x7b8df67b, 0xf20dfff2, 0x6bbdd66b, 0x6fb1de6f, 0xc55491c5, 0x30506030, 0x01030201, 0x67a9ce67, 0x2b7d562b, 0xfe19e7fe, 0xd762b5d7, 0xabe64dab, 0x769aec76, 0xca458fca, 0x829d1f82, 0xc94089c9, 0x7d87fa7d, 0xfa15effa, 0x59ebb259, 0x47c98e47, 0xf00bfbf0, 0xadec41ad, 0xd467b3d4, 0xa2fd5fa2, 0xafea45af, 0x9cbf239c, 0xa4f753a4, 0x7296e472, 0xc05b9bc0, 0xb7c275b7, 0xfd1ce1fd, 0x93ae3d93, 0x266a4c26, 0x365a6c36, 0x3f417e3f, 0xf702f5f7, 0xcc4f83cc, 0x345c6834, 0xa5f451a5, 0xe534d1e5, 0xf108f9f1, 0x7193e271, 0xd873abd8, 0x31536231, 0x153f2a15, 0x040c0804, 0xc75295c7, 0x23654623, 0xc35e9dc3, 0x18283018, 0x96a13796, 0x050f0a05, 0x9ab52f9a, 0x07090e07, 0x12362412, 0x809b1b80, 0xe23ddfe2, 0xeb26cdeb, 0x27694e27, 0xb2cd7fb2, 0x759fea75, 0x091b1209, 0x839e1d83, 0x2c74582c, 0x1a2e341a, 0x1b2d361b, 0x6eb2dc6e, 0x5aeeb45a, 0xa0fb5ba0, 0x52f6a452, 0x3b4d763b, 0xd661b7d6, 0xb3ce7db3, 0x297b5229, 0xe33edde3, 0x2f715e2f, 0x84971384, 0x53f5a653, 0xd168b9d1, 0x00000000, 0xed2cc1ed, 0x20604020, 0xfc1fe3fc, 0xb1c879b1, 0x5bedb65b, 0x6abed46a, 0xcb468dcb, 0xbed967be, 0x394b7239, 0x4ade944a, 0x4cd4984c, 0x58e8b058, 0xcf4a85cf, 0xd06bbbd0, 0xef2ac5ef, 0xaae54faa, 0xfb16edfb, 0x43c58643, 0x4dd79a4d, 0x33556633, 0x85941185, 0x45cf8a45, 0xf910e9f9, 0x02060402, 0x7f81fe7f, 0x50f0a050, 0x3c44783c, 0x9fba259f, 0xa8e34ba8, 0x51f3a251, 0xa3fe5da3, 0x40c08040, 0x8f8a058f, 0x92ad3f92, 0x9dbc219d, 0x38487038, 0xf504f1f5, 0xbcdf63bc, 0xb6c177b6, 0xda75afda, 0x21634221, 0x10302010, 0xff1ae5ff, 0xf30efdf3, 0xd26dbfd2, 0xcd4c81cd, 0x0c14180c, 0x13352613, 0xec2fc3ec, 0x5fe1be5f, 0x97a23597, 0x44cc8844, 0x17392e17, 0xc45793c4, 0xa7f255a7, 0x7e82fc7e, 0x3d477a3d, 0x64acc864, 0x5de7ba5d, 0x192b3219, 0x7395e673, 0x60a0c060, 0x81981981, 0x4fd19e4f, 0xdc7fa3dc, 0x22664422, 0x2a7e542a, 0x90ab3b90, 0x88830b88, 0x46ca8c46, 0xee29c7ee, 0xb8d36bb8, 0x143c2814, 0xde79a7de, 0x5ee2bc5e, 0x0b1d160b, 0xdb76addb, 0xe03bdbe0, 0x32566432, 0x3a4e743a, 0x0a1e140a, 0x49db9249, 0x060a0c06, 0x246c4824, 0x5ce4b85c, 0xc25d9fc2, 0xd36ebdd3, 0xacef43ac, 0x62a6c462, 0x91a83991, 0x95a43195, 0xe437d3e4, 0x798bf279, 0xe732d5e7, 0xc8438bc8, 0x37596e37, 0x6db7da6d, 0x8d8c018d, 0xd564b1d5, 0x4ed29c4e, 0xa9e049a9, 0x6cb4d86c, 0x56faac56, 0xf407f3f4, 0xea25cfea, 0x65afca65, 0x7a8ef47a, 0xaee947ae, 0x08181008, 0xbad56fba, 0x7888f078, 0x256f4a25, 0x2e725c2e, 0x1c24381c, 0xa6f157a6, 0xb4c773b4, 0xc65197c6, 0xe823cbe8, 0xdd7ca1dd, 0x749ce874, 0x1f213e1f, 0x4bdd964b, 0xbddc61bd, 0x8b860d8b, 0x8a850f8a, 0x7090e070, 0x3e427c3e, 0xb5c471b5, 0x66aacc66, 0x48d89048, 0x03050603, 0xf601f7f6, 0x0e121c0e, 0x61a3c261, 0x355f6a35, 0x57f9ae57, 0xb9d069b9, 0x86911786, 0xc15899c1, 0x1d273a1d, 0x9eb9279e, 0xe138d9e1, 0xf813ebf8, 0x98b32b98, 0x11332211, 0x69bbd269, 0xd970a9d9, 0x8e89078e, 0x94a73394, 0x9bb62d9b, 0x1e223c1e, 0x87921587, 0xe920c9e9, 0xce4987ce, 0x55ffaa55, 0x28785028, 0xdf7aa5df, 0x8c8f038c, 0xa1f859a1, 0x89800989, 0x0d171a0d, 0xbfda65bf, 0xe631d7e6, 0x42c68442, 0x68b8d068, 0x41c38241, 0x99b02999, 0x2d775a2d, 0x0f111e0f, 0xb0cb7bb0, 0x54fca854, 0xbbd66dbb, 0x163a2c16]; + var T4 = [0x6363a5c6, 0x7c7c84f8, 0x777799ee, 0x7b7b8df6, 0xf2f20dff, 0x6b6bbdd6, 0x6f6fb1de, 0xc5c55491, 0x30305060, 0x01010302, 0x6767a9ce, 0x2b2b7d56, 0xfefe19e7, 0xd7d762b5, 0xababe64d, 0x76769aec, 0xcaca458f, 0x82829d1f, 0xc9c94089, 0x7d7d87fa, 0xfafa15ef, 0x5959ebb2, 0x4747c98e, 0xf0f00bfb, 0xadadec41, 0xd4d467b3, 0xa2a2fd5f, 0xafafea45, 0x9c9cbf23, 0xa4a4f753, 0x727296e4, 0xc0c05b9b, 0xb7b7c275, 0xfdfd1ce1, 0x9393ae3d, 0x26266a4c, 0x36365a6c, 0x3f3f417e, 0xf7f702f5, 0xcccc4f83, 0x34345c68, 0xa5a5f451, 0xe5e534d1, 0xf1f108f9, 0x717193e2, 0xd8d873ab, 0x31315362, 0x15153f2a, 0x04040c08, 0xc7c75295, 0x23236546, 0xc3c35e9d, 0x18182830, 0x9696a137, 0x05050f0a, 0x9a9ab52f, 0x0707090e, 0x12123624, 0x80809b1b, 0xe2e23ddf, 0xebeb26cd, 0x2727694e, 0xb2b2cd7f, 0x75759fea, 0x09091b12, 0x83839e1d, 0x2c2c7458, 0x1a1a2e34, 0x1b1b2d36, 0x6e6eb2dc, 0x5a5aeeb4, 0xa0a0fb5b, 0x5252f6a4, 0x3b3b4d76, 0xd6d661b7, 0xb3b3ce7d, 0x29297b52, 0xe3e33edd, 0x2f2f715e, 0x84849713, 0x5353f5a6, 0xd1d168b9, 0x00000000, 0xeded2cc1, 0x20206040, 0xfcfc1fe3, 0xb1b1c879, 0x5b5bedb6, 0x6a6abed4, 0xcbcb468d, 0xbebed967, 0x39394b72, 0x4a4ade94, 0x4c4cd498, 0x5858e8b0, 0xcfcf4a85, 0xd0d06bbb, 0xefef2ac5, 0xaaaae54f, 0xfbfb16ed, 0x4343c586, 0x4d4dd79a, 0x33335566, 0x85859411, 0x4545cf8a, 0xf9f910e9, 0x02020604, 0x7f7f81fe, 0x5050f0a0, 0x3c3c4478, 0x9f9fba25, 0xa8a8e34b, 0x5151f3a2, 0xa3a3fe5d, 0x4040c080, 0x8f8f8a05, 0x9292ad3f, 0x9d9dbc21, 0x38384870, 0xf5f504f1, 0xbcbcdf63, 0xb6b6c177, 0xdada75af, 0x21216342, 0x10103020, 0xffff1ae5, 0xf3f30efd, 0xd2d26dbf, 0xcdcd4c81, 0x0c0c1418, 0x13133526, 0xecec2fc3, 0x5f5fe1be, 0x9797a235, 0x4444cc88, 0x1717392e, 0xc4c45793, 0xa7a7f255, 0x7e7e82fc, 0x3d3d477a, 0x6464acc8, 0x5d5de7ba, 0x19192b32, 0x737395e6, 0x6060a0c0, 0x81819819, 0x4f4fd19e, 0xdcdc7fa3, 0x22226644, 0x2a2a7e54, 0x9090ab3b, 0x8888830b, 0x4646ca8c, 0xeeee29c7, 0xb8b8d36b, 0x14143c28, 0xdede79a7, 0x5e5ee2bc, 0x0b0b1d16, 0xdbdb76ad, 0xe0e03bdb, 0x32325664, 0x3a3a4e74, 0x0a0a1e14, 0x4949db92, 0x06060a0c, 0x24246c48, 0x5c5ce4b8, 0xc2c25d9f, 0xd3d36ebd, 0xacacef43, 0x6262a6c4, 0x9191a839, 0x9595a431, 0xe4e437d3, 0x79798bf2, 0xe7e732d5, 0xc8c8438b, 0x3737596e, 0x6d6db7da, 0x8d8d8c01, 0xd5d564b1, 0x4e4ed29c, 0xa9a9e049, 0x6c6cb4d8, 0x5656faac, 0xf4f407f3, 0xeaea25cf, 0x6565afca, 0x7a7a8ef4, 0xaeaee947, 0x08081810, 0xbabad56f, 0x787888f0, 0x25256f4a, 0x2e2e725c, 0x1c1c2438, 0xa6a6f157, 0xb4b4c773, 0xc6c65197, 0xe8e823cb, 0xdddd7ca1, 0x74749ce8, 0x1f1f213e, 0x4b4bdd96, 0xbdbddc61, 0x8b8b860d, 0x8a8a850f, 0x707090e0, 0x3e3e427c, 0xb5b5c471, 0x6666aacc, 0x4848d890, 0x03030506, 0xf6f601f7, 0x0e0e121c, 0x6161a3c2, 0x35355f6a, 0x5757f9ae, 0xb9b9d069, 0x86869117, 0xc1c15899, 0x1d1d273a, 0x9e9eb927, 0xe1e138d9, 0xf8f813eb, 0x9898b32b, 0x11113322, 0x6969bbd2, 0xd9d970a9, 0x8e8e8907, 0x9494a733, 0x9b9bb62d, 0x1e1e223c, 0x87879215, 0xe9e920c9, 0xcece4987, 0x5555ffaa, 0x28287850, 0xdfdf7aa5, 0x8c8c8f03, 0xa1a1f859, 0x89898009, 0x0d0d171a, 0xbfbfda65, 0xe6e631d7, 0x4242c684, 0x6868b8d0, 0x4141c382, 0x9999b029, 0x2d2d775a, 0x0f0f111e, 0xb0b0cb7b, 0x5454fca8, 0xbbbbd66d, 0x16163a2c]; + + // Transformations for decryption + var T5 = [0x51f4a750, 0x7e416553, 0x1a17a4c3, 0x3a275e96, 0x3bab6bcb, 0x1f9d45f1, 0xacfa58ab, 0x4be30393, 0x2030fa55, 0xad766df6, 0x88cc7691, 0xf5024c25, 0x4fe5d7fc, 0xc52acbd7, 0x26354480, 0xb562a38f, 0xdeb15a49, 0x25ba1b67, 0x45ea0e98, 0x5dfec0e1, 0xc32f7502, 0x814cf012, 0x8d4697a3, 0x6bd3f9c6, 0x038f5fe7, 0x15929c95, 0xbf6d7aeb, 0x955259da, 0xd4be832d, 0x587421d3, 0x49e06929, 0x8ec9c844, 0x75c2896a, 0xf48e7978, 0x99583e6b, 0x27b971dd, 0xbee14fb6, 0xf088ad17, 0xc920ac66, 0x7dce3ab4, 0x63df4a18, 0xe51a3182, 0x97513360, 0x62537f45, 0xb16477e0, 0xbb6bae84, 0xfe81a01c, 0xf9082b94, 0x70486858, 0x8f45fd19, 0x94de6c87, 0x527bf8b7, 0xab73d323, 0x724b02e2, 0xe31f8f57, 0x6655ab2a, 0xb2eb2807, 0x2fb5c203, 0x86c57b9a, 0xd33708a5, 0x302887f2, 0x23bfa5b2, 0x02036aba, 0xed16825c, 0x8acf1c2b, 0xa779b492, 0xf307f2f0, 0x4e69e2a1, 0x65daf4cd, 0x0605bed5, 0xd134621f, 0xc4a6fe8a, 0x342e539d, 0xa2f355a0, 0x058ae132, 0xa4f6eb75, 0x0b83ec39, 0x4060efaa, 0x5e719f06, 0xbd6e1051, 0x3e218af9, 0x96dd063d, 0xdd3e05ae, 0x4de6bd46, 0x91548db5, 0x71c45d05, 0x0406d46f, 0x605015ff, 0x1998fb24, 0xd6bde997, 0x894043cc, 0x67d99e77, 0xb0e842bd, 0x07898b88, 0xe7195b38, 0x79c8eedb, 0xa17c0a47, 0x7c420fe9, 0xf8841ec9, 0x00000000, 0x09808683, 0x322bed48, 0x1e1170ac, 0x6c5a724e, 0xfd0efffb, 0x0f853856, 0x3daed51e, 0x362d3927, 0x0a0fd964, 0x685ca621, 0x9b5b54d1, 0x24362e3a, 0x0c0a67b1, 0x9357e70f, 0xb4ee96d2, 0x1b9b919e, 0x80c0c54f, 0x61dc20a2, 0x5a774b69, 0x1c121a16, 0xe293ba0a, 0xc0a02ae5, 0x3c22e043, 0x121b171d, 0x0e090d0b, 0xf28bc7ad, 0x2db6a8b9, 0x141ea9c8, 0x57f11985, 0xaf75074c, 0xee99ddbb, 0xa37f60fd, 0xf701269f, 0x5c72f5bc, 0x44663bc5, 0x5bfb7e34, 0x8b432976, 0xcb23c6dc, 0xb6edfc68, 0xb8e4f163, 0xd731dcca, 0x42638510, 0x13972240, 0x84c61120, 0x854a247d, 0xd2bb3df8, 0xaef93211, 0xc729a16d, 0x1d9e2f4b, 0xdcb230f3, 0x0d8652ec, 0x77c1e3d0, 0x2bb3166c, 0xa970b999, 0x119448fa, 0x47e96422, 0xa8fc8cc4, 0xa0f03f1a, 0x567d2cd8, 0x223390ef, 0x87494ec7, 0xd938d1c1, 0x8ccaa2fe, 0x98d40b36, 0xa6f581cf, 0xa57ade28, 0xdab78e26, 0x3fadbfa4, 0x2c3a9de4, 0x5078920d, 0x6a5fcc9b, 0x547e4662, 0xf68d13c2, 0x90d8b8e8, 0x2e39f75e, 0x82c3aff5, 0x9f5d80be, 0x69d0937c, 0x6fd52da9, 0xcf2512b3, 0xc8ac993b, 0x10187da7, 0xe89c636e, 0xdb3bbb7b, 0xcd267809, 0x6e5918f4, 0xec9ab701, 0x834f9aa8, 0xe6956e65, 0xaaffe67e, 0x21bccf08, 0xef15e8e6, 0xbae79bd9, 0x4a6f36ce, 0xea9f09d4, 0x29b07cd6, 0x31a4b2af, 0x2a3f2331, 0xc6a59430, 0x35a266c0, 0x744ebc37, 0xfc82caa6, 0xe090d0b0, 0x33a7d815, 0xf104984a, 0x41ecdaf7, 0x7fcd500e, 0x1791f62f, 0x764dd68d, 0x43efb04d, 0xccaa4d54, 0xe49604df, 0x9ed1b5e3, 0x4c6a881b, 0xc12c1fb8, 0x4665517f, 0x9d5eea04, 0x018c355d, 0xfa877473, 0xfb0b412e, 0xb3671d5a, 0x92dbd252, 0xe9105633, 0x6dd64713, 0x9ad7618c, 0x37a10c7a, 0x59f8148e, 0xeb133c89, 0xcea927ee, 0xb761c935, 0xe11ce5ed, 0x7a47b13c, 0x9cd2df59, 0x55f2733f, 0x1814ce79, 0x73c737bf, 0x53f7cdea, 0x5ffdaa5b, 0xdf3d6f14, 0x7844db86, 0xcaaff381, 0xb968c43e, 0x3824342c, 0xc2a3405f, 0x161dc372, 0xbce2250c, 0x283c498b, 0xff0d9541, 0x39a80171, 0x080cb3de, 0xd8b4e49c, 0x6456c190, 0x7bcb8461, 0xd532b670, 0x486c5c74, 0xd0b85742]; + var T6 = [0x5051f4a7, 0x537e4165, 0xc31a17a4, 0x963a275e, 0xcb3bab6b, 0xf11f9d45, 0xabacfa58, 0x934be303, 0x552030fa, 0xf6ad766d, 0x9188cc76, 0x25f5024c, 0xfc4fe5d7, 0xd7c52acb, 0x80263544, 0x8fb562a3, 0x49deb15a, 0x6725ba1b, 0x9845ea0e, 0xe15dfec0, 0x02c32f75, 0x12814cf0, 0xa38d4697, 0xc66bd3f9, 0xe7038f5f, 0x9515929c, 0xebbf6d7a, 0xda955259, 0x2dd4be83, 0xd3587421, 0x2949e069, 0x448ec9c8, 0x6a75c289, 0x78f48e79, 0x6b99583e, 0xdd27b971, 0xb6bee14f, 0x17f088ad, 0x66c920ac, 0xb47dce3a, 0x1863df4a, 0x82e51a31, 0x60975133, 0x4562537f, 0xe0b16477, 0x84bb6bae, 0x1cfe81a0, 0x94f9082b, 0x58704868, 0x198f45fd, 0x8794de6c, 0xb7527bf8, 0x23ab73d3, 0xe2724b02, 0x57e31f8f, 0x2a6655ab, 0x07b2eb28, 0x032fb5c2, 0x9a86c57b, 0xa5d33708, 0xf2302887, 0xb223bfa5, 0xba02036a, 0x5ced1682, 0x2b8acf1c, 0x92a779b4, 0xf0f307f2, 0xa14e69e2, 0xcd65daf4, 0xd50605be, 0x1fd13462, 0x8ac4a6fe, 0x9d342e53, 0xa0a2f355, 0x32058ae1, 0x75a4f6eb, 0x390b83ec, 0xaa4060ef, 0x065e719f, 0x51bd6e10, 0xf93e218a, 0x3d96dd06, 0xaedd3e05, 0x464de6bd, 0xb591548d, 0x0571c45d, 0x6f0406d4, 0xff605015, 0x241998fb, 0x97d6bde9, 0xcc894043, 0x7767d99e, 0xbdb0e842, 0x8807898b, 0x38e7195b, 0xdb79c8ee, 0x47a17c0a, 0xe97c420f, 0xc9f8841e, 0x00000000, 0x83098086, 0x48322bed, 0xac1e1170, 0x4e6c5a72, 0xfbfd0eff, 0x560f8538, 0x1e3daed5, 0x27362d39, 0x640a0fd9, 0x21685ca6, 0xd19b5b54, 0x3a24362e, 0xb10c0a67, 0x0f9357e7, 0xd2b4ee96, 0x9e1b9b91, 0x4f80c0c5, 0xa261dc20, 0x695a774b, 0x161c121a, 0x0ae293ba, 0xe5c0a02a, 0x433c22e0, 0x1d121b17, 0x0b0e090d, 0xadf28bc7, 0xb92db6a8, 0xc8141ea9, 0x8557f119, 0x4caf7507, 0xbbee99dd, 0xfda37f60, 0x9ff70126, 0xbc5c72f5, 0xc544663b, 0x345bfb7e, 0x768b4329, 0xdccb23c6, 0x68b6edfc, 0x63b8e4f1, 0xcad731dc, 0x10426385, 0x40139722, 0x2084c611, 0x7d854a24, 0xf8d2bb3d, 0x11aef932, 0x6dc729a1, 0x4b1d9e2f, 0xf3dcb230, 0xec0d8652, 0xd077c1e3, 0x6c2bb316, 0x99a970b9, 0xfa119448, 0x2247e964, 0xc4a8fc8c, 0x1aa0f03f, 0xd8567d2c, 0xef223390, 0xc787494e, 0xc1d938d1, 0xfe8ccaa2, 0x3698d40b, 0xcfa6f581, 0x28a57ade, 0x26dab78e, 0xa43fadbf, 0xe42c3a9d, 0x0d507892, 0x9b6a5fcc, 0x62547e46, 0xc2f68d13, 0xe890d8b8, 0x5e2e39f7, 0xf582c3af, 0xbe9f5d80, 0x7c69d093, 0xa96fd52d, 0xb3cf2512, 0x3bc8ac99, 0xa710187d, 0x6ee89c63, 0x7bdb3bbb, 0x09cd2678, 0xf46e5918, 0x01ec9ab7, 0xa8834f9a, 0x65e6956e, 0x7eaaffe6, 0x0821bccf, 0xe6ef15e8, 0xd9bae79b, 0xce4a6f36, 0xd4ea9f09, 0xd629b07c, 0xaf31a4b2, 0x312a3f23, 0x30c6a594, 0xc035a266, 0x37744ebc, 0xa6fc82ca, 0xb0e090d0, 0x1533a7d8, 0x4af10498, 0xf741ecda, 0x0e7fcd50, 0x2f1791f6, 0x8d764dd6, 0x4d43efb0, 0x54ccaa4d, 0xdfe49604, 0xe39ed1b5, 0x1b4c6a88, 0xb8c12c1f, 0x7f466551, 0x049d5eea, 0x5d018c35, 0x73fa8774, 0x2efb0b41, 0x5ab3671d, 0x5292dbd2, 0x33e91056, 0x136dd647, 0x8c9ad761, 0x7a37a10c, 0x8e59f814, 0x89eb133c, 0xeecea927, 0x35b761c9, 0xede11ce5, 0x3c7a47b1, 0x599cd2df, 0x3f55f273, 0x791814ce, 0xbf73c737, 0xea53f7cd, 0x5b5ffdaa, 0x14df3d6f, 0x867844db, 0x81caaff3, 0x3eb968c4, 0x2c382434, 0x5fc2a340, 0x72161dc3, 0x0cbce225, 0x8b283c49, 0x41ff0d95, 0x7139a801, 0xde080cb3, 0x9cd8b4e4, 0x906456c1, 0x617bcb84, 0x70d532b6, 0x74486c5c, 0x42d0b857]; + var T7 = [0xa75051f4, 0x65537e41, 0xa4c31a17, 0x5e963a27, 0x6bcb3bab, 0x45f11f9d, 0x58abacfa, 0x03934be3, 0xfa552030, 0x6df6ad76, 0x769188cc, 0x4c25f502, 0xd7fc4fe5, 0xcbd7c52a, 0x44802635, 0xa38fb562, 0x5a49deb1, 0x1b6725ba, 0x0e9845ea, 0xc0e15dfe, 0x7502c32f, 0xf012814c, 0x97a38d46, 0xf9c66bd3, 0x5fe7038f, 0x9c951592, 0x7aebbf6d, 0x59da9552, 0x832dd4be, 0x21d35874, 0x692949e0, 0xc8448ec9, 0x896a75c2, 0x7978f48e, 0x3e6b9958, 0x71dd27b9, 0x4fb6bee1, 0xad17f088, 0xac66c920, 0x3ab47dce, 0x4a1863df, 0x3182e51a, 0x33609751, 0x7f456253, 0x77e0b164, 0xae84bb6b, 0xa01cfe81, 0x2b94f908, 0x68587048, 0xfd198f45, 0x6c8794de, 0xf8b7527b, 0xd323ab73, 0x02e2724b, 0x8f57e31f, 0xab2a6655, 0x2807b2eb, 0xc2032fb5, 0x7b9a86c5, 0x08a5d337, 0x87f23028, 0xa5b223bf, 0x6aba0203, 0x825ced16, 0x1c2b8acf, 0xb492a779, 0xf2f0f307, 0xe2a14e69, 0xf4cd65da, 0xbed50605, 0x621fd134, 0xfe8ac4a6, 0x539d342e, 0x55a0a2f3, 0xe132058a, 0xeb75a4f6, 0xec390b83, 0xefaa4060, 0x9f065e71, 0x1051bd6e, 0x8af93e21, 0x063d96dd, 0x05aedd3e, 0xbd464de6, 0x8db59154, 0x5d0571c4, 0xd46f0406, 0x15ff6050, 0xfb241998, 0xe997d6bd, 0x43cc8940, 0x9e7767d9, 0x42bdb0e8, 0x8b880789, 0x5b38e719, 0xeedb79c8, 0x0a47a17c, 0x0fe97c42, 0x1ec9f884, 0x00000000, 0x86830980, 0xed48322b, 0x70ac1e11, 0x724e6c5a, 0xfffbfd0e, 0x38560f85, 0xd51e3dae, 0x3927362d, 0xd9640a0f, 0xa621685c, 0x54d19b5b, 0x2e3a2436, 0x67b10c0a, 0xe70f9357, 0x96d2b4ee, 0x919e1b9b, 0xc54f80c0, 0x20a261dc, 0x4b695a77, 0x1a161c12, 0xba0ae293, 0x2ae5c0a0, 0xe0433c22, 0x171d121b, 0x0d0b0e09, 0xc7adf28b, 0xa8b92db6, 0xa9c8141e, 0x198557f1, 0x074caf75, 0xddbbee99, 0x60fda37f, 0x269ff701, 0xf5bc5c72, 0x3bc54466, 0x7e345bfb, 0x29768b43, 0xc6dccb23, 0xfc68b6ed, 0xf163b8e4, 0xdccad731, 0x85104263, 0x22401397, 0x112084c6, 0x247d854a, 0x3df8d2bb, 0x3211aef9, 0xa16dc729, 0x2f4b1d9e, 0x30f3dcb2, 0x52ec0d86, 0xe3d077c1, 0x166c2bb3, 0xb999a970, 0x48fa1194, 0x642247e9, 0x8cc4a8fc, 0x3f1aa0f0, 0x2cd8567d, 0x90ef2233, 0x4ec78749, 0xd1c1d938, 0xa2fe8cca, 0x0b3698d4, 0x81cfa6f5, 0xde28a57a, 0x8e26dab7, 0xbfa43fad, 0x9de42c3a, 0x920d5078, 0xcc9b6a5f, 0x4662547e, 0x13c2f68d, 0xb8e890d8, 0xf75e2e39, 0xaff582c3, 0x80be9f5d, 0x937c69d0, 0x2da96fd5, 0x12b3cf25, 0x993bc8ac, 0x7da71018, 0x636ee89c, 0xbb7bdb3b, 0x7809cd26, 0x18f46e59, 0xb701ec9a, 0x9aa8834f, 0x6e65e695, 0xe67eaaff, 0xcf0821bc, 0xe8e6ef15, 0x9bd9bae7, 0x36ce4a6f, 0x09d4ea9f, 0x7cd629b0, 0xb2af31a4, 0x23312a3f, 0x9430c6a5, 0x66c035a2, 0xbc37744e, 0xcaa6fc82, 0xd0b0e090, 0xd81533a7, 0x984af104, 0xdaf741ec, 0x500e7fcd, 0xf62f1791, 0xd68d764d, 0xb04d43ef, 0x4d54ccaa, 0x04dfe496, 0xb5e39ed1, 0x881b4c6a, 0x1fb8c12c, 0x517f4665, 0xea049d5e, 0x355d018c, 0x7473fa87, 0x412efb0b, 0x1d5ab367, 0xd25292db, 0x5633e910, 0x47136dd6, 0x618c9ad7, 0x0c7a37a1, 0x148e59f8, 0x3c89eb13, 0x27eecea9, 0xc935b761, 0xe5ede11c, 0xb13c7a47, 0xdf599cd2, 0x733f55f2, 0xce791814, 0x37bf73c7, 0xcdea53f7, 0xaa5b5ffd, 0x6f14df3d, 0xdb867844, 0xf381caaf, 0xc43eb968, 0x342c3824, 0x405fc2a3, 0xc372161d, 0x250cbce2, 0x498b283c, 0x9541ff0d, 0x017139a8, 0xb3de080c, 0xe49cd8b4, 0xc1906456, 0x84617bcb, 0xb670d532, 0x5c74486c, 0x5742d0b8]; + var T8 = [0xf4a75051, 0x4165537e, 0x17a4c31a, 0x275e963a, 0xab6bcb3b, 0x9d45f11f, 0xfa58abac, 0xe303934b, 0x30fa5520, 0x766df6ad, 0xcc769188, 0x024c25f5, 0xe5d7fc4f, 0x2acbd7c5, 0x35448026, 0x62a38fb5, 0xb15a49de, 0xba1b6725, 0xea0e9845, 0xfec0e15d, 0x2f7502c3, 0x4cf01281, 0x4697a38d, 0xd3f9c66b, 0x8f5fe703, 0x929c9515, 0x6d7aebbf, 0x5259da95, 0xbe832dd4, 0x7421d358, 0xe0692949, 0xc9c8448e, 0xc2896a75, 0x8e7978f4, 0x583e6b99, 0xb971dd27, 0xe14fb6be, 0x88ad17f0, 0x20ac66c9, 0xce3ab47d, 0xdf4a1863, 0x1a3182e5, 0x51336097, 0x537f4562, 0x6477e0b1, 0x6bae84bb, 0x81a01cfe, 0x082b94f9, 0x48685870, 0x45fd198f, 0xde6c8794, 0x7bf8b752, 0x73d323ab, 0x4b02e272, 0x1f8f57e3, 0x55ab2a66, 0xeb2807b2, 0xb5c2032f, 0xc57b9a86, 0x3708a5d3, 0x2887f230, 0xbfa5b223, 0x036aba02, 0x16825ced, 0xcf1c2b8a, 0x79b492a7, 0x07f2f0f3, 0x69e2a14e, 0xdaf4cd65, 0x05bed506, 0x34621fd1, 0xa6fe8ac4, 0x2e539d34, 0xf355a0a2, 0x8ae13205, 0xf6eb75a4, 0x83ec390b, 0x60efaa40, 0x719f065e, 0x6e1051bd, 0x218af93e, 0xdd063d96, 0x3e05aedd, 0xe6bd464d, 0x548db591, 0xc45d0571, 0x06d46f04, 0x5015ff60, 0x98fb2419, 0xbde997d6, 0x4043cc89, 0xd99e7767, 0xe842bdb0, 0x898b8807, 0x195b38e7, 0xc8eedb79, 0x7c0a47a1, 0x420fe97c, 0x841ec9f8, 0x00000000, 0x80868309, 0x2bed4832, 0x1170ac1e, 0x5a724e6c, 0x0efffbfd, 0x8538560f, 0xaed51e3d, 0x2d392736, 0x0fd9640a, 0x5ca62168, 0x5b54d19b, 0x362e3a24, 0x0a67b10c, 0x57e70f93, 0xee96d2b4, 0x9b919e1b, 0xc0c54f80, 0xdc20a261, 0x774b695a, 0x121a161c, 0x93ba0ae2, 0xa02ae5c0, 0x22e0433c, 0x1b171d12, 0x090d0b0e, 0x8bc7adf2, 0xb6a8b92d, 0x1ea9c814, 0xf1198557, 0x75074caf, 0x99ddbbee, 0x7f60fda3, 0x01269ff7, 0x72f5bc5c, 0x663bc544, 0xfb7e345b, 0x4329768b, 0x23c6dccb, 0xedfc68b6, 0xe4f163b8, 0x31dccad7, 0x63851042, 0x97224013, 0xc6112084, 0x4a247d85, 0xbb3df8d2, 0xf93211ae, 0x29a16dc7, 0x9e2f4b1d, 0xb230f3dc, 0x8652ec0d, 0xc1e3d077, 0xb3166c2b, 0x70b999a9, 0x9448fa11, 0xe9642247, 0xfc8cc4a8, 0xf03f1aa0, 0x7d2cd856, 0x3390ef22, 0x494ec787, 0x38d1c1d9, 0xcaa2fe8c, 0xd40b3698, 0xf581cfa6, 0x7ade28a5, 0xb78e26da, 0xadbfa43f, 0x3a9de42c, 0x78920d50, 0x5fcc9b6a, 0x7e466254, 0x8d13c2f6, 0xd8b8e890, 0x39f75e2e, 0xc3aff582, 0x5d80be9f, 0xd0937c69, 0xd52da96f, 0x2512b3cf, 0xac993bc8, 0x187da710, 0x9c636ee8, 0x3bbb7bdb, 0x267809cd, 0x5918f46e, 0x9ab701ec, 0x4f9aa883, 0x956e65e6, 0xffe67eaa, 0xbccf0821, 0x15e8e6ef, 0xe79bd9ba, 0x6f36ce4a, 0x9f09d4ea, 0xb07cd629, 0xa4b2af31, 0x3f23312a, 0xa59430c6, 0xa266c035, 0x4ebc3774, 0x82caa6fc, 0x90d0b0e0, 0xa7d81533, 0x04984af1, 0xecdaf741, 0xcd500e7f, 0x91f62f17, 0x4dd68d76, 0xefb04d43, 0xaa4d54cc, 0x9604dfe4, 0xd1b5e39e, 0x6a881b4c, 0x2c1fb8c1, 0x65517f46, 0x5eea049d, 0x8c355d01, 0x877473fa, 0x0b412efb, 0x671d5ab3, 0xdbd25292, 0x105633e9, 0xd647136d, 0xd7618c9a, 0xa10c7a37, 0xf8148e59, 0x133c89eb, 0xa927eece, 0x61c935b7, 0x1ce5ede1, 0x47b13c7a, 0xd2df599c, 0xf2733f55, 0x14ce7918, 0xc737bf73, 0xf7cdea53, 0xfdaa5b5f, 0x3d6f14df, 0x44db8678, 0xaff381ca, 0x68c43eb9, 0x24342c38, 0xa3405fc2, 0x1dc37216, 0xe2250cbc, 0x3c498b28, 0x0d9541ff, 0xa8017139, 0x0cb3de08, 0xb4e49cd8, 0x56c19064, 0xcb84617b, 0x32b670d5, 0x6c5c7448, 0xb85742d0]; + + // Transformations for decryption key expansion + var U1 = [0x00000000, 0x0e090d0b, 0x1c121a16, 0x121b171d, 0x3824342c, 0x362d3927, 0x24362e3a, 0x2a3f2331, 0x70486858, 0x7e416553, 0x6c5a724e, 0x62537f45, 0x486c5c74, 0x4665517f, 0x547e4662, 0x5a774b69, 0xe090d0b0, 0xee99ddbb, 0xfc82caa6, 0xf28bc7ad, 0xd8b4e49c, 0xd6bde997, 0xc4a6fe8a, 0xcaaff381, 0x90d8b8e8, 0x9ed1b5e3, 0x8ccaa2fe, 0x82c3aff5, 0xa8fc8cc4, 0xa6f581cf, 0xb4ee96d2, 0xbae79bd9, 0xdb3bbb7b, 0xd532b670, 0xc729a16d, 0xc920ac66, 0xe31f8f57, 0xed16825c, 0xff0d9541, 0xf104984a, 0xab73d323, 0xa57ade28, 0xb761c935, 0xb968c43e, 0x9357e70f, 0x9d5eea04, 0x8f45fd19, 0x814cf012, 0x3bab6bcb, 0x35a266c0, 0x27b971dd, 0x29b07cd6, 0x038f5fe7, 0x0d8652ec, 0x1f9d45f1, 0x119448fa, 0x4be30393, 0x45ea0e98, 0x57f11985, 0x59f8148e, 0x73c737bf, 0x7dce3ab4, 0x6fd52da9, 0x61dc20a2, 0xad766df6, 0xa37f60fd, 0xb16477e0, 0xbf6d7aeb, 0x955259da, 0x9b5b54d1, 0x894043cc, 0x87494ec7, 0xdd3e05ae, 0xd33708a5, 0xc12c1fb8, 0xcf2512b3, 0xe51a3182, 0xeb133c89, 0xf9082b94, 0xf701269f, 0x4de6bd46, 0x43efb04d, 0x51f4a750, 0x5ffdaa5b, 0x75c2896a, 0x7bcb8461, 0x69d0937c, 0x67d99e77, 0x3daed51e, 0x33a7d815, 0x21bccf08, 0x2fb5c203, 0x058ae132, 0x0b83ec39, 0x1998fb24, 0x1791f62f, 0x764dd68d, 0x7844db86, 0x6a5fcc9b, 0x6456c190, 0x4e69e2a1, 0x4060efaa, 0x527bf8b7, 0x5c72f5bc, 0x0605bed5, 0x080cb3de, 0x1a17a4c3, 0x141ea9c8, 0x3e218af9, 0x302887f2, 0x223390ef, 0x2c3a9de4, 0x96dd063d, 0x98d40b36, 0x8acf1c2b, 0x84c61120, 0xaef93211, 0xa0f03f1a, 0xb2eb2807, 0xbce2250c, 0xe6956e65, 0xe89c636e, 0xfa877473, 0xf48e7978, 0xdeb15a49, 0xd0b85742, 0xc2a3405f, 0xccaa4d54, 0x41ecdaf7, 0x4fe5d7fc, 0x5dfec0e1, 0x53f7cdea, 0x79c8eedb, 0x77c1e3d0, 0x65daf4cd, 0x6bd3f9c6, 0x31a4b2af, 0x3fadbfa4, 0x2db6a8b9, 0x23bfa5b2, 0x09808683, 0x07898b88, 0x15929c95, 0x1b9b919e, 0xa17c0a47, 0xaf75074c, 0xbd6e1051, 0xb3671d5a, 0x99583e6b, 0x97513360, 0x854a247d, 0x8b432976, 0xd134621f, 0xdf3d6f14, 0xcd267809, 0xc32f7502, 0xe9105633, 0xe7195b38, 0xf5024c25, 0xfb0b412e, 0x9ad7618c, 0x94de6c87, 0x86c57b9a, 0x88cc7691, 0xa2f355a0, 0xacfa58ab, 0xbee14fb6, 0xb0e842bd, 0xea9f09d4, 0xe49604df, 0xf68d13c2, 0xf8841ec9, 0xd2bb3df8, 0xdcb230f3, 0xcea927ee, 0xc0a02ae5, 0x7a47b13c, 0x744ebc37, 0x6655ab2a, 0x685ca621, 0x42638510, 0x4c6a881b, 0x5e719f06, 0x5078920d, 0x0a0fd964, 0x0406d46f, 0x161dc372, 0x1814ce79, 0x322bed48, 0x3c22e043, 0x2e39f75e, 0x2030fa55, 0xec9ab701, 0xe293ba0a, 0xf088ad17, 0xfe81a01c, 0xd4be832d, 0xdab78e26, 0xc8ac993b, 0xc6a59430, 0x9cd2df59, 0x92dbd252, 0x80c0c54f, 0x8ec9c844, 0xa4f6eb75, 0xaaffe67e, 0xb8e4f163, 0xb6edfc68, 0x0c0a67b1, 0x02036aba, 0x10187da7, 0x1e1170ac, 0x342e539d, 0x3a275e96, 0x283c498b, 0x26354480, 0x7c420fe9, 0x724b02e2, 0x605015ff, 0x6e5918f4, 0x44663bc5, 0x4a6f36ce, 0x587421d3, 0x567d2cd8, 0x37a10c7a, 0x39a80171, 0x2bb3166c, 0x25ba1b67, 0x0f853856, 0x018c355d, 0x13972240, 0x1d9e2f4b, 0x47e96422, 0x49e06929, 0x5bfb7e34, 0x55f2733f, 0x7fcd500e, 0x71c45d05, 0x63df4a18, 0x6dd64713, 0xd731dcca, 0xd938d1c1, 0xcb23c6dc, 0xc52acbd7, 0xef15e8e6, 0xe11ce5ed, 0xf307f2f0, 0xfd0efffb, 0xa779b492, 0xa970b999, 0xbb6bae84, 0xb562a38f, 0x9f5d80be, 0x91548db5, 0x834f9aa8, 0x8d4697a3]; + var U2 = [0x00000000, 0x0b0e090d, 0x161c121a, 0x1d121b17, 0x2c382434, 0x27362d39, 0x3a24362e, 0x312a3f23, 0x58704868, 0x537e4165, 0x4e6c5a72, 0x4562537f, 0x74486c5c, 0x7f466551, 0x62547e46, 0x695a774b, 0xb0e090d0, 0xbbee99dd, 0xa6fc82ca, 0xadf28bc7, 0x9cd8b4e4, 0x97d6bde9, 0x8ac4a6fe, 0x81caaff3, 0xe890d8b8, 0xe39ed1b5, 0xfe8ccaa2, 0xf582c3af, 0xc4a8fc8c, 0xcfa6f581, 0xd2b4ee96, 0xd9bae79b, 0x7bdb3bbb, 0x70d532b6, 0x6dc729a1, 0x66c920ac, 0x57e31f8f, 0x5ced1682, 0x41ff0d95, 0x4af10498, 0x23ab73d3, 0x28a57ade, 0x35b761c9, 0x3eb968c4, 0x0f9357e7, 0x049d5eea, 0x198f45fd, 0x12814cf0, 0xcb3bab6b, 0xc035a266, 0xdd27b971, 0xd629b07c, 0xe7038f5f, 0xec0d8652, 0xf11f9d45, 0xfa119448, 0x934be303, 0x9845ea0e, 0x8557f119, 0x8e59f814, 0xbf73c737, 0xb47dce3a, 0xa96fd52d, 0xa261dc20, 0xf6ad766d, 0xfda37f60, 0xe0b16477, 0xebbf6d7a, 0xda955259, 0xd19b5b54, 0xcc894043, 0xc787494e, 0xaedd3e05, 0xa5d33708, 0xb8c12c1f, 0xb3cf2512, 0x82e51a31, 0x89eb133c, 0x94f9082b, 0x9ff70126, 0x464de6bd, 0x4d43efb0, 0x5051f4a7, 0x5b5ffdaa, 0x6a75c289, 0x617bcb84, 0x7c69d093, 0x7767d99e, 0x1e3daed5, 0x1533a7d8, 0x0821bccf, 0x032fb5c2, 0x32058ae1, 0x390b83ec, 0x241998fb, 0x2f1791f6, 0x8d764dd6, 0x867844db, 0x9b6a5fcc, 0x906456c1, 0xa14e69e2, 0xaa4060ef, 0xb7527bf8, 0xbc5c72f5, 0xd50605be, 0xde080cb3, 0xc31a17a4, 0xc8141ea9, 0xf93e218a, 0xf2302887, 0xef223390, 0xe42c3a9d, 0x3d96dd06, 0x3698d40b, 0x2b8acf1c, 0x2084c611, 0x11aef932, 0x1aa0f03f, 0x07b2eb28, 0x0cbce225, 0x65e6956e, 0x6ee89c63, 0x73fa8774, 0x78f48e79, 0x49deb15a, 0x42d0b857, 0x5fc2a340, 0x54ccaa4d, 0xf741ecda, 0xfc4fe5d7, 0xe15dfec0, 0xea53f7cd, 0xdb79c8ee, 0xd077c1e3, 0xcd65daf4, 0xc66bd3f9, 0xaf31a4b2, 0xa43fadbf, 0xb92db6a8, 0xb223bfa5, 0x83098086, 0x8807898b, 0x9515929c, 0x9e1b9b91, 0x47a17c0a, 0x4caf7507, 0x51bd6e10, 0x5ab3671d, 0x6b99583e, 0x60975133, 0x7d854a24, 0x768b4329, 0x1fd13462, 0x14df3d6f, 0x09cd2678, 0x02c32f75, 0x33e91056, 0x38e7195b, 0x25f5024c, 0x2efb0b41, 0x8c9ad761, 0x8794de6c, 0x9a86c57b, 0x9188cc76, 0xa0a2f355, 0xabacfa58, 0xb6bee14f, 0xbdb0e842, 0xd4ea9f09, 0xdfe49604, 0xc2f68d13, 0xc9f8841e, 0xf8d2bb3d, 0xf3dcb230, 0xeecea927, 0xe5c0a02a, 0x3c7a47b1, 0x37744ebc, 0x2a6655ab, 0x21685ca6, 0x10426385, 0x1b4c6a88, 0x065e719f, 0x0d507892, 0x640a0fd9, 0x6f0406d4, 0x72161dc3, 0x791814ce, 0x48322bed, 0x433c22e0, 0x5e2e39f7, 0x552030fa, 0x01ec9ab7, 0x0ae293ba, 0x17f088ad, 0x1cfe81a0, 0x2dd4be83, 0x26dab78e, 0x3bc8ac99, 0x30c6a594, 0x599cd2df, 0x5292dbd2, 0x4f80c0c5, 0x448ec9c8, 0x75a4f6eb, 0x7eaaffe6, 0x63b8e4f1, 0x68b6edfc, 0xb10c0a67, 0xba02036a, 0xa710187d, 0xac1e1170, 0x9d342e53, 0x963a275e, 0x8b283c49, 0x80263544, 0xe97c420f, 0xe2724b02, 0xff605015, 0xf46e5918, 0xc544663b, 0xce4a6f36, 0xd3587421, 0xd8567d2c, 0x7a37a10c, 0x7139a801, 0x6c2bb316, 0x6725ba1b, 0x560f8538, 0x5d018c35, 0x40139722, 0x4b1d9e2f, 0x2247e964, 0x2949e069, 0x345bfb7e, 0x3f55f273, 0x0e7fcd50, 0x0571c45d, 0x1863df4a, 0x136dd647, 0xcad731dc, 0xc1d938d1, 0xdccb23c6, 0xd7c52acb, 0xe6ef15e8, 0xede11ce5, 0xf0f307f2, 0xfbfd0eff, 0x92a779b4, 0x99a970b9, 0x84bb6bae, 0x8fb562a3, 0xbe9f5d80, 0xb591548d, 0xa8834f9a, 0xa38d4697]; + var U3 = [0x00000000, 0x0d0b0e09, 0x1a161c12, 0x171d121b, 0x342c3824, 0x3927362d, 0x2e3a2436, 0x23312a3f, 0x68587048, 0x65537e41, 0x724e6c5a, 0x7f456253, 0x5c74486c, 0x517f4665, 0x4662547e, 0x4b695a77, 0xd0b0e090, 0xddbbee99, 0xcaa6fc82, 0xc7adf28b, 0xe49cd8b4, 0xe997d6bd, 0xfe8ac4a6, 0xf381caaf, 0xb8e890d8, 0xb5e39ed1, 0xa2fe8cca, 0xaff582c3, 0x8cc4a8fc, 0x81cfa6f5, 0x96d2b4ee, 0x9bd9bae7, 0xbb7bdb3b, 0xb670d532, 0xa16dc729, 0xac66c920, 0x8f57e31f, 0x825ced16, 0x9541ff0d, 0x984af104, 0xd323ab73, 0xde28a57a, 0xc935b761, 0xc43eb968, 0xe70f9357, 0xea049d5e, 0xfd198f45, 0xf012814c, 0x6bcb3bab, 0x66c035a2, 0x71dd27b9, 0x7cd629b0, 0x5fe7038f, 0x52ec0d86, 0x45f11f9d, 0x48fa1194, 0x03934be3, 0x0e9845ea, 0x198557f1, 0x148e59f8, 0x37bf73c7, 0x3ab47dce, 0x2da96fd5, 0x20a261dc, 0x6df6ad76, 0x60fda37f, 0x77e0b164, 0x7aebbf6d, 0x59da9552, 0x54d19b5b, 0x43cc8940, 0x4ec78749, 0x05aedd3e, 0x08a5d337, 0x1fb8c12c, 0x12b3cf25, 0x3182e51a, 0x3c89eb13, 0x2b94f908, 0x269ff701, 0xbd464de6, 0xb04d43ef, 0xa75051f4, 0xaa5b5ffd, 0x896a75c2, 0x84617bcb, 0x937c69d0, 0x9e7767d9, 0xd51e3dae, 0xd81533a7, 0xcf0821bc, 0xc2032fb5, 0xe132058a, 0xec390b83, 0xfb241998, 0xf62f1791, 0xd68d764d, 0xdb867844, 0xcc9b6a5f, 0xc1906456, 0xe2a14e69, 0xefaa4060, 0xf8b7527b, 0xf5bc5c72, 0xbed50605, 0xb3de080c, 0xa4c31a17, 0xa9c8141e, 0x8af93e21, 0x87f23028, 0x90ef2233, 0x9de42c3a, 0x063d96dd, 0x0b3698d4, 0x1c2b8acf, 0x112084c6, 0x3211aef9, 0x3f1aa0f0, 0x2807b2eb, 0x250cbce2, 0x6e65e695, 0x636ee89c, 0x7473fa87, 0x7978f48e, 0x5a49deb1, 0x5742d0b8, 0x405fc2a3, 0x4d54ccaa, 0xdaf741ec, 0xd7fc4fe5, 0xc0e15dfe, 0xcdea53f7, 0xeedb79c8, 0xe3d077c1, 0xf4cd65da, 0xf9c66bd3, 0xb2af31a4, 0xbfa43fad, 0xa8b92db6, 0xa5b223bf, 0x86830980, 0x8b880789, 0x9c951592, 0x919e1b9b, 0x0a47a17c, 0x074caf75, 0x1051bd6e, 0x1d5ab367, 0x3e6b9958, 0x33609751, 0x247d854a, 0x29768b43, 0x621fd134, 0x6f14df3d, 0x7809cd26, 0x7502c32f, 0x5633e910, 0x5b38e719, 0x4c25f502, 0x412efb0b, 0x618c9ad7, 0x6c8794de, 0x7b9a86c5, 0x769188cc, 0x55a0a2f3, 0x58abacfa, 0x4fb6bee1, 0x42bdb0e8, 0x09d4ea9f, 0x04dfe496, 0x13c2f68d, 0x1ec9f884, 0x3df8d2bb, 0x30f3dcb2, 0x27eecea9, 0x2ae5c0a0, 0xb13c7a47, 0xbc37744e, 0xab2a6655, 0xa621685c, 0x85104263, 0x881b4c6a, 0x9f065e71, 0x920d5078, 0xd9640a0f, 0xd46f0406, 0xc372161d, 0xce791814, 0xed48322b, 0xe0433c22, 0xf75e2e39, 0xfa552030, 0xb701ec9a, 0xba0ae293, 0xad17f088, 0xa01cfe81, 0x832dd4be, 0x8e26dab7, 0x993bc8ac, 0x9430c6a5, 0xdf599cd2, 0xd25292db, 0xc54f80c0, 0xc8448ec9, 0xeb75a4f6, 0xe67eaaff, 0xf163b8e4, 0xfc68b6ed, 0x67b10c0a, 0x6aba0203, 0x7da71018, 0x70ac1e11, 0x539d342e, 0x5e963a27, 0x498b283c, 0x44802635, 0x0fe97c42, 0x02e2724b, 0x15ff6050, 0x18f46e59, 0x3bc54466, 0x36ce4a6f, 0x21d35874, 0x2cd8567d, 0x0c7a37a1, 0x017139a8, 0x166c2bb3, 0x1b6725ba, 0x38560f85, 0x355d018c, 0x22401397, 0x2f4b1d9e, 0x642247e9, 0x692949e0, 0x7e345bfb, 0x733f55f2, 0x500e7fcd, 0x5d0571c4, 0x4a1863df, 0x47136dd6, 0xdccad731, 0xd1c1d938, 0xc6dccb23, 0xcbd7c52a, 0xe8e6ef15, 0xe5ede11c, 0xf2f0f307, 0xfffbfd0e, 0xb492a779, 0xb999a970, 0xae84bb6b, 0xa38fb562, 0x80be9f5d, 0x8db59154, 0x9aa8834f, 0x97a38d46]; + var U4 = [0x00000000, 0x090d0b0e, 0x121a161c, 0x1b171d12, 0x24342c38, 0x2d392736, 0x362e3a24, 0x3f23312a, 0x48685870, 0x4165537e, 0x5a724e6c, 0x537f4562, 0x6c5c7448, 0x65517f46, 0x7e466254, 0x774b695a, 0x90d0b0e0, 0x99ddbbee, 0x82caa6fc, 0x8bc7adf2, 0xb4e49cd8, 0xbde997d6, 0xa6fe8ac4, 0xaff381ca, 0xd8b8e890, 0xd1b5e39e, 0xcaa2fe8c, 0xc3aff582, 0xfc8cc4a8, 0xf581cfa6, 0xee96d2b4, 0xe79bd9ba, 0x3bbb7bdb, 0x32b670d5, 0x29a16dc7, 0x20ac66c9, 0x1f8f57e3, 0x16825ced, 0x0d9541ff, 0x04984af1, 0x73d323ab, 0x7ade28a5, 0x61c935b7, 0x68c43eb9, 0x57e70f93, 0x5eea049d, 0x45fd198f, 0x4cf01281, 0xab6bcb3b, 0xa266c035, 0xb971dd27, 0xb07cd629, 0x8f5fe703, 0x8652ec0d, 0x9d45f11f, 0x9448fa11, 0xe303934b, 0xea0e9845, 0xf1198557, 0xf8148e59, 0xc737bf73, 0xce3ab47d, 0xd52da96f, 0xdc20a261, 0x766df6ad, 0x7f60fda3, 0x6477e0b1, 0x6d7aebbf, 0x5259da95, 0x5b54d19b, 0x4043cc89, 0x494ec787, 0x3e05aedd, 0x3708a5d3, 0x2c1fb8c1, 0x2512b3cf, 0x1a3182e5, 0x133c89eb, 0x082b94f9, 0x01269ff7, 0xe6bd464d, 0xefb04d43, 0xf4a75051, 0xfdaa5b5f, 0xc2896a75, 0xcb84617b, 0xd0937c69, 0xd99e7767, 0xaed51e3d, 0xa7d81533, 0xbccf0821, 0xb5c2032f, 0x8ae13205, 0x83ec390b, 0x98fb2419, 0x91f62f17, 0x4dd68d76, 0x44db8678, 0x5fcc9b6a, 0x56c19064, 0x69e2a14e, 0x60efaa40, 0x7bf8b752, 0x72f5bc5c, 0x05bed506, 0x0cb3de08, 0x17a4c31a, 0x1ea9c814, 0x218af93e, 0x2887f230, 0x3390ef22, 0x3a9de42c, 0xdd063d96, 0xd40b3698, 0xcf1c2b8a, 0xc6112084, 0xf93211ae, 0xf03f1aa0, 0xeb2807b2, 0xe2250cbc, 0x956e65e6, 0x9c636ee8, 0x877473fa, 0x8e7978f4, 0xb15a49de, 0xb85742d0, 0xa3405fc2, 0xaa4d54cc, 0xecdaf741, 0xe5d7fc4f, 0xfec0e15d, 0xf7cdea53, 0xc8eedb79, 0xc1e3d077, 0xdaf4cd65, 0xd3f9c66b, 0xa4b2af31, 0xadbfa43f, 0xb6a8b92d, 0xbfa5b223, 0x80868309, 0x898b8807, 0x929c9515, 0x9b919e1b, 0x7c0a47a1, 0x75074caf, 0x6e1051bd, 0x671d5ab3, 0x583e6b99, 0x51336097, 0x4a247d85, 0x4329768b, 0x34621fd1, 0x3d6f14df, 0x267809cd, 0x2f7502c3, 0x105633e9, 0x195b38e7, 0x024c25f5, 0x0b412efb, 0xd7618c9a, 0xde6c8794, 0xc57b9a86, 0xcc769188, 0xf355a0a2, 0xfa58abac, 0xe14fb6be, 0xe842bdb0, 0x9f09d4ea, 0x9604dfe4, 0x8d13c2f6, 0x841ec9f8, 0xbb3df8d2, 0xb230f3dc, 0xa927eece, 0xa02ae5c0, 0x47b13c7a, 0x4ebc3774, 0x55ab2a66, 0x5ca62168, 0x63851042, 0x6a881b4c, 0x719f065e, 0x78920d50, 0x0fd9640a, 0x06d46f04, 0x1dc37216, 0x14ce7918, 0x2bed4832, 0x22e0433c, 0x39f75e2e, 0x30fa5520, 0x9ab701ec, 0x93ba0ae2, 0x88ad17f0, 0x81a01cfe, 0xbe832dd4, 0xb78e26da, 0xac993bc8, 0xa59430c6, 0xd2df599c, 0xdbd25292, 0xc0c54f80, 0xc9c8448e, 0xf6eb75a4, 0xffe67eaa, 0xe4f163b8, 0xedfc68b6, 0x0a67b10c, 0x036aba02, 0x187da710, 0x1170ac1e, 0x2e539d34, 0x275e963a, 0x3c498b28, 0x35448026, 0x420fe97c, 0x4b02e272, 0x5015ff60, 0x5918f46e, 0x663bc544, 0x6f36ce4a, 0x7421d358, 0x7d2cd856, 0xa10c7a37, 0xa8017139, 0xb3166c2b, 0xba1b6725, 0x8538560f, 0x8c355d01, 0x97224013, 0x9e2f4b1d, 0xe9642247, 0xe0692949, 0xfb7e345b, 0xf2733f55, 0xcd500e7f, 0xc45d0571, 0xdf4a1863, 0xd647136d, 0x31dccad7, 0x38d1c1d9, 0x23c6dccb, 0x2acbd7c5, 0x15e8e6ef, 0x1ce5ede1, 0x07f2f0f3, 0x0efffbfd, 0x79b492a7, 0x70b999a9, 0x6bae84bb, 0x62a38fb5, 0x5d80be9f, 0x548db591, 0x4f9aa883, 0x4697a38d]; + + function convertToInt32(bytes) { + var result = []; + for (var i = 0; i < bytes.length; i += 4) { + result.push( + (bytes[i ] << 24) | + (bytes[i + 1] << 16) | + (bytes[i + 2] << 8) | + bytes[i + 3] + ); + } + return result; + } + + var AES = function(key) { + if (!(this instanceof AES)) { + throw Error('AES must be instanitated with `new`'); + } + + Object.defineProperty(this, 'key', { + value: coerceArray(key, true) + }); + + this._prepare(); + } + + + AES.prototype._prepare = function() { + + var rounds = numberOfRounds[this.key.length]; + if (rounds == null) { + throw new Error('invalid key size (must be 16, 24 or 32 bytes)'); + } + + // encryption round keys + this._Ke = []; + + // decryption round keys + this._Kd = []; + + for (var i = 0; i <= rounds; i++) { + this._Ke.push([0, 0, 0, 0]); + this._Kd.push([0, 0, 0, 0]); + } + + var roundKeyCount = (rounds + 1) * 4; + var KC = this.key.length / 4; + + // convert the key into ints + var tk = convertToInt32(this.key); + + // copy values into round key arrays + var index; + for (var i = 0; i < KC; i++) { + index = i >> 2; + this._Ke[index][i % 4] = tk[i]; + this._Kd[rounds - index][i % 4] = tk[i]; + } + + // key expansion (fips-197 section 5.2) + var rconpointer = 0; + var t = KC, tt; + while (t < roundKeyCount) { + tt = tk[KC - 1]; + tk[0] ^= ((S[(tt >> 16) & 0xFF] << 24) ^ + (S[(tt >> 8) & 0xFF] << 16) ^ + (S[ tt & 0xFF] << 8) ^ + S[(tt >> 24) & 0xFF] ^ + (rcon[rconpointer] << 24)); + rconpointer += 1; + + // key expansion (for non-256 bit) + if (KC != 8) { + for (var i = 1; i < KC; i++) { + tk[i] ^= tk[i - 1]; + } + + // key expansion for 256-bit keys is "slightly different" (fips-197) + } else { + for (var i = 1; i < (KC / 2); i++) { + tk[i] ^= tk[i - 1]; + } + tt = tk[(KC / 2) - 1]; + + tk[KC / 2] ^= (S[ tt & 0xFF] ^ + (S[(tt >> 8) & 0xFF] << 8) ^ + (S[(tt >> 16) & 0xFF] << 16) ^ + (S[(tt >> 24) & 0xFF] << 24)); + + for (var i = (KC / 2) + 1; i < KC; i++) { + tk[i] ^= tk[i - 1]; + } + } + + // copy values into round key arrays + var i = 0, r, c; + while (i < KC && t < roundKeyCount) { + r = t >> 2; + c = t % 4; + this._Ke[r][c] = tk[i]; + this._Kd[rounds - r][c] = tk[i++]; + t++; + } + } + + // inverse-cipher-ify the decryption round key (fips-197 section 5.3) + for (var r = 1; r < rounds; r++) { + for (var c = 0; c < 4; c++) { + tt = this._Kd[r][c]; + this._Kd[r][c] = (U1[(tt >> 24) & 0xFF] ^ + U2[(tt >> 16) & 0xFF] ^ + U3[(tt >> 8) & 0xFF] ^ + U4[ tt & 0xFF]); + } + } + } + + AES.prototype.encrypt = function(plaintext) { + if (plaintext.length != 16) { + throw new Error('invalid plaintext size (must be 16 bytes)'); + } + + var rounds = this._Ke.length - 1; + var a = [0, 0, 0, 0]; + + // convert plaintext to (ints ^ key) + var t = convertToInt32(plaintext); + for (var i = 0; i < 4; i++) { + t[i] ^= this._Ke[0][i]; + } + + // apply round transforms + for (var r = 1; r < rounds; r++) { + for (var i = 0; i < 4; i++) { + a[i] = (T1[(t[ i ] >> 24) & 0xff] ^ + T2[(t[(i + 1) % 4] >> 16) & 0xff] ^ + T3[(t[(i + 2) % 4] >> 8) & 0xff] ^ + T4[ t[(i + 3) % 4] & 0xff] ^ + this._Ke[r][i]); + } + t = a.slice(); + } + + // the last round is special + var result = createArray(16), tt; + for (var i = 0; i < 4; i++) { + tt = this._Ke[rounds][i]; + result[4 * i ] = (S[(t[ i ] >> 24) & 0xff] ^ (tt >> 24)) & 0xff; + result[4 * i + 1] = (S[(t[(i + 1) % 4] >> 16) & 0xff] ^ (tt >> 16)) & 0xff; + result[4 * i + 2] = (S[(t[(i + 2) % 4] >> 8) & 0xff] ^ (tt >> 8)) & 0xff; + result[4 * i + 3] = (S[ t[(i + 3) % 4] & 0xff] ^ tt ) & 0xff; + } + + return result; + } + + AES.prototype.decrypt = function(ciphertext) { + if (ciphertext.length != 16) { + throw new Error('invalid ciphertext size (must be 16 bytes)'); + } + + var rounds = this._Kd.length - 1; + var a = [0, 0, 0, 0]; + + // convert plaintext to (ints ^ key) + var t = convertToInt32(ciphertext); + for (var i = 0; i < 4; i++) { + t[i] ^= this._Kd[0][i]; + } + + // apply round transforms + for (var r = 1; r < rounds; r++) { + for (var i = 0; i < 4; i++) { + a[i] = (T5[(t[ i ] >> 24) & 0xff] ^ + T6[(t[(i + 3) % 4] >> 16) & 0xff] ^ + T7[(t[(i + 2) % 4] >> 8) & 0xff] ^ + T8[ t[(i + 1) % 4] & 0xff] ^ + this._Kd[r][i]); + } + t = a.slice(); + } + + // the last round is special + var result = createArray(16), tt; + for (var i = 0; i < 4; i++) { + tt = this._Kd[rounds][i]; + result[4 * i ] = (Si[(t[ i ] >> 24) & 0xff] ^ (tt >> 24)) & 0xff; + result[4 * i + 1] = (Si[(t[(i + 3) % 4] >> 16) & 0xff] ^ (tt >> 16)) & 0xff; + result[4 * i + 2] = (Si[(t[(i + 2) % 4] >> 8) & 0xff] ^ (tt >> 8)) & 0xff; + result[4 * i + 3] = (Si[ t[(i + 1) % 4] & 0xff] ^ tt ) & 0xff; + } + + return result; + } + + + /** + * Mode Of Operation - Electonic Codebook (ECB) + */ + var ModeOfOperationECB = function(key) { + if (!(this instanceof ModeOfOperationECB)) { + throw Error('AES must be instanitated with `new`'); + } + + this.description = "Electronic Code Block"; + this.name = "ecb"; + + this._aes = new AES(key); + } + + ModeOfOperationECB.prototype.encrypt = function(plaintext) { + plaintext = coerceArray(plaintext); + + if ((plaintext.length % 16) !== 0) { + throw new Error('invalid plaintext size (must be multiple of 16 bytes)'); + } + + var ciphertext = createArray(plaintext.length); + var block = createArray(16); + + for (var i = 0; i < plaintext.length; i += 16) { + copyArray(plaintext, block, 0, i, i + 16); + block = this._aes.encrypt(block); + copyArray(block, ciphertext, i); + } + + return ciphertext; + } + + ModeOfOperationECB.prototype.decrypt = function(ciphertext) { + ciphertext = coerceArray(ciphertext); + + if ((ciphertext.length % 16) !== 0) { + throw new Error('invalid ciphertext size (must be multiple of 16 bytes)'); + } + + var plaintext = createArray(ciphertext.length); + var block = createArray(16); + + for (var i = 0; i < ciphertext.length; i += 16) { + copyArray(ciphertext, block, 0, i, i + 16); + block = this._aes.decrypt(block); + copyArray(block, plaintext, i); + } + + return plaintext; + } + + + /** + * Mode Of Operation - Cipher Block Chaining (CBC) + */ + var ModeOfOperationCBC = function(key, iv) { + if (!(this instanceof ModeOfOperationCBC)) { + throw Error('AES must be instanitated with `new`'); + } + + this.description = "Cipher Block Chaining"; + this.name = "cbc"; + + if (!iv) { + iv = createArray(16); + + } else if (iv.length != 16) { + throw new Error('invalid initialation vector size (must be 16 bytes)'); + } + + this._lastCipherblock = coerceArray(iv, true); + + this._aes = new AES(key); + } + + ModeOfOperationCBC.prototype.encrypt = function(plaintext) { + plaintext = coerceArray(plaintext); + + if ((plaintext.length % 16) !== 0) { + throw new Error('invalid plaintext size (must be multiple of 16 bytes)'); + } + + var ciphertext = createArray(plaintext.length); + var block = createArray(16); + + for (var i = 0; i < plaintext.length; i += 16) { + copyArray(plaintext, block, 0, i, i + 16); + + for (var j = 0; j < 16; j++) { + block[j] ^= this._lastCipherblock[j]; + } + + this._lastCipherblock = this._aes.encrypt(block); + copyArray(this._lastCipherblock, ciphertext, i); + } + + return ciphertext; + } + + ModeOfOperationCBC.prototype.decrypt = function(ciphertext) { + ciphertext = coerceArray(ciphertext); + + if ((ciphertext.length % 16) !== 0) { + throw new Error('invalid ciphertext size (must be multiple of 16 bytes)'); + } + + var plaintext = createArray(ciphertext.length); + var block = createArray(16); + + for (var i = 0; i < ciphertext.length; i += 16) { + copyArray(ciphertext, block, 0, i, i + 16); + block = this._aes.decrypt(block); + + for (var j = 0; j < 16; j++) { + plaintext[i + j] = block[j] ^ this._lastCipherblock[j]; + } + + copyArray(ciphertext, this._lastCipherblock, 0, i, i + 16); + } + + return plaintext; + } + + + /** + * Mode Of Operation - Cipher Feedback (CFB) + */ + var ModeOfOperationCFB = function(key, iv, segmentSize) { + if (!(this instanceof ModeOfOperationCFB)) { + throw Error('AES must be instanitated with `new`'); + } + + this.description = "Cipher Feedback"; + this.name = "cfb"; + + if (!iv) { + iv = createArray(16); + + } else if (iv.length != 16) { + throw new Error('invalid initialation vector size (must be 16 size)'); + } + + if (!segmentSize) { segmentSize = 1; } + + this.segmentSize = segmentSize; + + this._shiftRegister = coerceArray(iv, true); + + this._aes = new AES(key); + } + + ModeOfOperationCFB.prototype.encrypt = function(plaintext) { + if ((plaintext.length % this.segmentSize) != 0) { + throw new Error('invalid plaintext size (must be segmentSize bytes)'); + } + + var encrypted = coerceArray(plaintext, true); + + var xorSegment; + for (var i = 0; i < encrypted.length; i += this.segmentSize) { + xorSegment = this._aes.encrypt(this._shiftRegister); + for (var j = 0; j < this.segmentSize; j++) { + encrypted[i + j] ^= xorSegment[j]; + } + + // Shift the register + copyArray(this._shiftRegister, this._shiftRegister, 0, this.segmentSize); + copyArray(encrypted, this._shiftRegister, 16 - this.segmentSize, i, i + this.segmentSize); + } + + return encrypted; + } + + ModeOfOperationCFB.prototype.decrypt = function(ciphertext) { + if ((ciphertext.length % this.segmentSize) != 0) { + throw new Error('invalid ciphertext size (must be segmentSize bytes)'); + } + + var plaintext = coerceArray(ciphertext, true); + + var xorSegment; + for (var i = 0; i < plaintext.length; i += this.segmentSize) { + xorSegment = this._aes.encrypt(this._shiftRegister); + + for (var j = 0; j < this.segmentSize; j++) { + plaintext[i + j] ^= xorSegment[j]; + } + + // Shift the register + copyArray(this._shiftRegister, this._shiftRegister, 0, this.segmentSize); + copyArray(ciphertext, this._shiftRegister, 16 - this.segmentSize, i, i + this.segmentSize); + } + + return plaintext; + } + + /** + * Mode Of Operation - Output Feedback (OFB) + */ + var ModeOfOperationOFB = function(key, iv) { + if (!(this instanceof ModeOfOperationOFB)) { + throw Error('AES must be instanitated with `new`'); + } + + this.description = "Output Feedback"; + this.name = "ofb"; + + if (!iv) { + iv = createArray(16); + + } else if (iv.length != 16) { + throw new Error('invalid initialation vector size (must be 16 bytes)'); + } + + this._lastPrecipher = coerceArray(iv, true); + this._lastPrecipherIndex = 16; + + this._aes = new AES(key); + } + + ModeOfOperationOFB.prototype.encrypt = function(plaintext) { + var encrypted = coerceArray(plaintext, true); + + for (var i = 0; i < encrypted.length; i++) { + if (this._lastPrecipherIndex === 16) { + this._lastPrecipher = this._aes.encrypt(this._lastPrecipher); + this._lastPrecipherIndex = 0; + } + encrypted[i] ^= this._lastPrecipher[this._lastPrecipherIndex++]; + } + + return encrypted; + } + + // Decryption is symetric + ModeOfOperationOFB.prototype.decrypt = ModeOfOperationOFB.prototype.encrypt; + + + /** + * Counter object for CTR common mode of operation + */ + var Counter = function(initialValue) { + if (!(this instanceof Counter)) { + throw Error('Counter must be instanitated with `new`'); + } + + // We allow 0, but anything false-ish uses the default 1 + if (initialValue !== 0 && !initialValue) { initialValue = 1; } + + if (typeof(initialValue) === 'number') { + this._counter = createArray(16); + this.setValue(initialValue); + + } else { + this.setBytes(initialValue); + } + } + + Counter.prototype.setValue = function(value) { + if (typeof(value) !== 'number' || parseInt(value) != value) { + throw new Error('invalid counter value (must be an integer)'); + } + + // We cannot safely handle numbers beyond the safe range for integers + if (value > Number.MAX_SAFE_INTEGER) { + throw new Error('integer value out of safe range'); + } + + for (var index = 15; index >= 0; --index) { + this._counter[index] = value % 256; + value = parseInt(value / 256); + } + } + + Counter.prototype.setBytes = function(bytes) { + bytes = coerceArray(bytes, true); + + if (bytes.length != 16) { + throw new Error('invalid counter bytes size (must be 16 bytes)'); + } + + this._counter = bytes; + }; + + Counter.prototype.increment = function() { + for (var i = 15; i >= 0; i--) { + if (this._counter[i] === 255) { + this._counter[i] = 0; + } else { + this._counter[i]++; + break; + } + } + } + + + /** + * Mode Of Operation - Counter (CTR) + */ + var ModeOfOperationCTR = function(key, counter) { + if (!(this instanceof ModeOfOperationCTR)) { + throw Error('AES must be instanitated with `new`'); + } + + this.description = "Counter"; + this.name = "ctr"; + + if (!(counter instanceof Counter)) { + counter = new Counter(counter) + } + + this._counter = counter; + + this._remainingCounter = null; + this._remainingCounterIndex = 16; + + this._aes = new AES(key); + } + + ModeOfOperationCTR.prototype.encrypt = function(plaintext) { + var encrypted = coerceArray(plaintext, true); + + for (var i = 0; i < encrypted.length; i++) { + if (this._remainingCounterIndex === 16) { + this._remainingCounter = this._aes.encrypt(this._counter._counter); + this._remainingCounterIndex = 0; + this._counter.increment(); + } + encrypted[i] ^= this._remainingCounter[this._remainingCounterIndex++]; + } + + return encrypted; + } + + // Decryption is symetric + ModeOfOperationCTR.prototype.decrypt = ModeOfOperationCTR.prototype.encrypt; + + + /////////////////////// + // Padding + + // See:https://tools.ietf.org/html/rfc2315 + function pkcs7pad(data) { + data = coerceArray(data, true); + var padder = 16 - (data.length % 16); + var result = createArray(data.length + padder); + copyArray(data, result); + for (var i = data.length; i < result.length; i++) { + result[i] = padder; + } + return result; + } + + function pkcs7strip(data) { + data = coerceArray(data, true); + if (data.length < 16) { throw new Error('PKCS#7 invalid length'); } + + var padder = data[data.length - 1]; + if (padder > 16) { throw new Error('PKCS#7 padding byte out of range'); } + + var length = data.length - padder; + for (var i = 0; i < padder; i++) { + if (data[length + i] !== padder) { + throw new Error('PKCS#7 invalid padding byte'); + } + } + + var result = createArray(length); + copyArray(data, result, 0, 0, length); + return result; + } + + /////////////////////// + // Exporting + + + // The block cipher + var aesjs = { + AES: AES, + Counter: Counter, + + ModeOfOperation: { + ecb: ModeOfOperationECB, + cbc: ModeOfOperationCBC, + cfb: ModeOfOperationCFB, + ofb: ModeOfOperationOFB, + ctr: ModeOfOperationCTR + }, + + utils: { + hex: convertHex, + utf8: convertUtf8 + }, + + padding: { + pkcs7: { + pad: pkcs7pad, + strip: pkcs7strip + } + }, + + _arrayTest: { + coerceArray: coerceArray, + createArray: createArray, + copyArray: copyArray, + } + }; + + + // node.js + if (typeof exports !== 'undefined') { + module.exports = aesjs + + // RequireJS/AMD + // http://www.requirejs.org/docs/api.html + // https://github.com/amdjs/amdjs-api/wiki/AMD + } else if (typeof(define) === 'function' && define.amd) { + define(aesjs); + + // Web Browsers + } else { + + // If there was an existing library at "aesjs" make sure it's still available + if (root.aesjs) { + aesjs._aesjs = root.aesjs; + } + + root.aesjs = aesjs; + } + + +})(this); diff --git a/web/js/elliptic.js b/web/js/elliptic.js new file mode 100644 index 0000000..bb08aa3 --- /dev/null +++ b/web/js/elliptic.js @@ -0,0 +1,8812 @@ +(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.elliptic = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o 0) { + this.redN = null; + } else { + this._maxwellTrick = true; + this.redN = this.n.toRed(this.red); + } +} +module.exports = BaseCurve; + +BaseCurve.prototype.point = function point() { + throw new Error('Not implemented'); +}; + +BaseCurve.prototype.validate = function validate() { + throw new Error('Not implemented'); +}; + +BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { + assert(p.precomputed); + var doubles = p._getDoubles(); + + var naf = getNAF(k, 1); + var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); + I /= 3; + + // Translate into more windowed form + var repr = []; + for (var j = 0; j < naf.length; j += doubles.step) { + var nafW = 0; + for (var k = j + doubles.step - 1; k >= j; k--) + nafW = (nafW << 1) + naf[k]; + repr.push(nafW); + } + + var a = this.jpoint(null, null, null); + var b = this.jpoint(null, null, null); + for (var i = I; i > 0; i--) { + for (var j = 0; j < repr.length; j++) { + var nafW = repr[j]; + if (nafW === i) + b = b.mixedAdd(doubles.points[j]); + else if (nafW === -i) + b = b.mixedAdd(doubles.points[j].neg()); + } + a = a.add(b); + } + return a.toP(); +}; + +BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { + var w = 4; + + // Precompute window + var nafPoints = p._getNAFPoints(w); + w = nafPoints.wnd; + var wnd = nafPoints.points; + + // Get NAF form + var naf = getNAF(k, w); + + // Add `this`*(N+1) for every w-NAF index + var acc = this.jpoint(null, null, null); + for (var i = naf.length - 1; i >= 0; i--) { + // Count zeroes + for (var k = 0; i >= 0 && naf[i] === 0; i--) + k++; + if (i >= 0) + k++; + acc = acc.dblp(k); + + if (i < 0) + break; + var z = naf[i]; + assert(z !== 0); + if (p.type === 'affine') { + // J +- P + if (z > 0) + acc = acc.mixedAdd(wnd[(z - 1) >> 1]); + else + acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg()); + } else { + // J +- J + if (z > 0) + acc = acc.add(wnd[(z - 1) >> 1]); + else + acc = acc.add(wnd[(-z - 1) >> 1].neg()); + } + } + return p.type === 'affine' ? acc.toP() : acc; +}; + +BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, + points, + coeffs, + len, + jacobianResult) { + var wndWidth = this._wnafT1; + var wnd = this._wnafT2; + var naf = this._wnafT3; + + // Fill all arrays + var max = 0; + for (var i = 0; i < len; i++) { + var p = points[i]; + var nafPoints = p._getNAFPoints(defW); + wndWidth[i] = nafPoints.wnd; + wnd[i] = nafPoints.points; + } + + // Comb small window NAFs + for (var i = len - 1; i >= 1; i -= 2) { + var a = i - 1; + var b = i; + if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { + naf[a] = getNAF(coeffs[a], wndWidth[a]); + naf[b] = getNAF(coeffs[b], wndWidth[b]); + max = Math.max(naf[a].length, max); + max = Math.max(naf[b].length, max); + continue; + } + + var comb = [ + points[a], /* 1 */ + null, /* 3 */ + null, /* 5 */ + points[b] /* 7 */ + ]; + + // Try to avoid Projective points, if possible + if (points[a].y.cmp(points[b].y) === 0) { + comb[1] = points[a].add(points[b]); + comb[2] = points[a].toJ().mixedAdd(points[b].neg()); + } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) { + comb[1] = points[a].toJ().mixedAdd(points[b]); + comb[2] = points[a].add(points[b].neg()); + } else { + comb[1] = points[a].toJ().mixedAdd(points[b]); + comb[2] = points[a].toJ().mixedAdd(points[b].neg()); + } + + var index = [ + -3, /* -1 -1 */ + -1, /* -1 0 */ + -5, /* -1 1 */ + -7, /* 0 -1 */ + 0, /* 0 0 */ + 7, /* 0 1 */ + 5, /* 1 -1 */ + 1, /* 1 0 */ + 3 /* 1 1 */ + ]; + + var jsf = getJSF(coeffs[a], coeffs[b]); + max = Math.max(jsf[0].length, max); + naf[a] = new Array(max); + naf[b] = new Array(max); + for (var j = 0; j < max; j++) { + var ja = jsf[0][j] | 0; + var jb = jsf[1][j] | 0; + + naf[a][j] = index[(ja + 1) * 3 + (jb + 1)]; + naf[b][j] = 0; + wnd[a] = comb; + } + } + + var acc = this.jpoint(null, null, null); + var tmp = this._wnafT4; + for (var i = max; i >= 0; i--) { + var k = 0; + + while (i >= 0) { + var zero = true; + for (var j = 0; j < len; j++) { + tmp[j] = naf[j][i] | 0; + if (tmp[j] !== 0) + zero = false; + } + if (!zero) + break; + k++; + i--; + } + if (i >= 0) + k++; + acc = acc.dblp(k); + if (i < 0) + break; + + for (var j = 0; j < len; j++) { + var z = tmp[j]; + var p; + if (z === 0) + continue; + else if (z > 0) + p = wnd[j][(z - 1) >> 1]; + else if (z < 0) + p = wnd[j][(-z - 1) >> 1].neg(); + + if (p.type === 'affine') + acc = acc.mixedAdd(p); + else + acc = acc.add(p); + } + } + // Zeroify references + for (var i = 0; i < len; i++) + wnd[i] = null; + + if (jacobianResult) + return acc; + else + return acc.toP(); +}; + +function BasePoint(curve, type) { + this.curve = curve; + this.type = type; + this.precomputed = null; +} +BaseCurve.BasePoint = BasePoint; + +BasePoint.prototype.eq = function eq(/*other*/) { + throw new Error('Not implemented'); +}; + +BasePoint.prototype.validate = function validate() { + return this.curve.validate(this); +}; + +BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { + bytes = utils.toArray(bytes, enc); + + var len = this.p.byteLength(); + + // uncompressed, hybrid-odd, hybrid-even + if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) && + bytes.length - 1 === 2 * len) { + if (bytes[0] === 0x06) + assert(bytes[bytes.length - 1] % 2 === 0); + else if (bytes[0] === 0x07) + assert(bytes[bytes.length - 1] % 2 === 1); + + var res = this.point(bytes.slice(1, 1 + len), + bytes.slice(1 + len, 1 + 2 * len)); + + return res; + } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && + bytes.length - 1 === len) { + return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03); + } + throw new Error('Unknown point format'); +}; + +BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) { + return this.encode(enc, true); +}; + +BasePoint.prototype._encode = function _encode(compact) { + var len = this.curve.p.byteLength(); + var x = this.getX().toArray('be', len); + + if (compact) + return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); + + return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ; +}; + +BasePoint.prototype.encode = function encode(enc, compact) { + return utils.encode(this._encode(compact), enc); +}; + +BasePoint.prototype.precompute = function precompute(power) { + if (this.precomputed) + return this; + + var precomputed = { + doubles: null, + naf: null, + beta: null + }; + precomputed.naf = this._getNAFPoints(8); + precomputed.doubles = this._getDoubles(4, power); + precomputed.beta = this._getBeta(); + this.precomputed = precomputed; + + return this; +}; + +BasePoint.prototype._hasDoubles = function _hasDoubles(k) { + if (!this.precomputed) + return false; + + var doubles = this.precomputed.doubles; + if (!doubles) + return false; + + return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step); +}; + +BasePoint.prototype._getDoubles = function _getDoubles(step, power) { + if (this.precomputed && this.precomputed.doubles) + return this.precomputed.doubles; + + var doubles = [ this ]; + var acc = this; + for (var i = 0; i < power; i += step) { + for (var j = 0; j < step; j++) + acc = acc.dbl(); + doubles.push(acc); + } + return { + step: step, + points: doubles + }; +}; + +BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { + if (this.precomputed && this.precomputed.naf) + return this.precomputed.naf; + + var res = [ this ]; + var max = (1 << wnd) - 1; + var dbl = max === 1 ? null : this.dbl(); + for (var i = 1; i < max; i++) + res[i] = res[i - 1].add(dbl); + return { + wnd: wnd, + points: res + }; +}; + +BasePoint.prototype._getBeta = function _getBeta() { + return null; +}; + +BasePoint.prototype.dblp = function dblp(k) { + var r = this; + for (var i = 0; i < k; i++) + r = r.dbl(); + return r; +}; + +},{"../../elliptic":1,"bn.js":16}],3:[function(require,module,exports){ +'use strict'; + +var curve = require('../curve'); +var elliptic = require('../../elliptic'); +var BN = require('bn.js'); +var inherits = require('inherits'); +var Base = curve.base; + +var assert = elliptic.utils.assert; + +function EdwardsCurve(conf) { + // NOTE: Important as we are creating point in Base.call() + this.twisted = (conf.a | 0) !== 1; + this.mOneA = this.twisted && (conf.a | 0) === -1; + this.extended = this.mOneA; + + Base.call(this, 'edwards', conf); + + this.a = new BN(conf.a, 16).umod(this.red.m); + this.a = this.a.toRed(this.red); + this.c = new BN(conf.c, 16).toRed(this.red); + this.c2 = this.c.redSqr(); + this.d = new BN(conf.d, 16).toRed(this.red); + this.dd = this.d.redAdd(this.d); + + assert(!this.twisted || this.c.fromRed().cmpn(1) === 0); + this.oneC = (conf.c | 0) === 1; +} +inherits(EdwardsCurve, Base); +module.exports = EdwardsCurve; + +EdwardsCurve.prototype._mulA = function _mulA(num) { + if (this.mOneA) + return num.redNeg(); + else + return this.a.redMul(num); +}; + +EdwardsCurve.prototype._mulC = function _mulC(num) { + if (this.oneC) + return num; + else + return this.c.redMul(num); +}; + +// Just for compatibility with Short curve +EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) { + return this.point(x, y, z, t); +}; + +EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) { + x = new BN(x, 16); + if (!x.red) + x = x.toRed(this.red); + + var x2 = x.redSqr(); + var rhs = this.c2.redSub(this.a.redMul(x2)); + var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2)); + + var y2 = rhs.redMul(lhs.redInvm()); + var y = y2.redSqrt(); + if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) + throw new Error('invalid point'); + + var isOdd = y.fromRed().isOdd(); + if (odd && !isOdd || !odd && isOdd) + y = y.redNeg(); + + return this.point(x, y); +}; + +EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) { + y = new BN(y, 16); + if (!y.red) + y = y.toRed(this.red); + + // x^2 = (y^2 - 1) / (d y^2 + 1) + var y2 = y.redSqr(); + var lhs = y2.redSub(this.one); + var rhs = y2.redMul(this.d).redAdd(this.one); + var x2 = lhs.redMul(rhs.redInvm()); + + if (x2.cmp(this.zero) === 0) { + if (odd) + throw new Error('invalid point'); + else + return this.point(this.zero, y); + } + + var x = x2.redSqrt(); + if (x.redSqr().redSub(x2).cmp(this.zero) !== 0) + throw new Error('invalid point'); + + if (x.isOdd() !== odd) + x = x.redNeg(); + + return this.point(x, y); +}; + +EdwardsCurve.prototype.validate = function validate(point) { + if (point.isInfinity()) + return true; + + // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2) + point.normalize(); + + var x2 = point.x.redSqr(); + var y2 = point.y.redSqr(); + var lhs = x2.redMul(this.a).redAdd(y2); + var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2))); + + return lhs.cmp(rhs) === 0; +}; + +function Point(curve, x, y, z, t) { + Base.BasePoint.call(this, curve, 'projective'); + if (x === null && y === null && z === null) { + this.x = this.curve.zero; + this.y = this.curve.one; + this.z = this.curve.one; + this.t = this.curve.zero; + this.zOne = true; + } else { + this.x = new BN(x, 16); + this.y = new BN(y, 16); + this.z = z ? new BN(z, 16) : this.curve.one; + this.t = t && new BN(t, 16); + if (!this.x.red) + this.x = this.x.toRed(this.curve.red); + if (!this.y.red) + this.y = this.y.toRed(this.curve.red); + if (!this.z.red) + this.z = this.z.toRed(this.curve.red); + if (this.t && !this.t.red) + this.t = this.t.toRed(this.curve.red); + this.zOne = this.z === this.curve.one; + + // Use extended coordinates + if (this.curve.extended && !this.t) { + this.t = this.x.redMul(this.y); + if (!this.zOne) + this.t = this.t.redMul(this.z.redInvm()); + } + } +} +inherits(Point, Base.BasePoint); + +EdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) { + return Point.fromJSON(this, obj); +}; + +EdwardsCurve.prototype.point = function point(x, y, z, t) { + return new Point(this, x, y, z, t); +}; + +Point.fromJSON = function fromJSON(curve, obj) { + return new Point(curve, obj[0], obj[1], obj[2]); +}; + +Point.prototype.inspect = function inspect() { + if (this.isInfinity()) + return ''; + return ''; +}; + +Point.prototype.isInfinity = function isInfinity() { + // XXX This code assumes that zero is always zero in red + return this.x.cmpn(0) === 0 && + this.y.cmp(this.z) === 0; +}; + +Point.prototype._extDbl = function _extDbl() { + // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html + // #doubling-dbl-2008-hwcd + // 4M + 4S + + // A = X1^2 + var a = this.x.redSqr(); + // B = Y1^2 + var b = this.y.redSqr(); + // C = 2 * Z1^2 + var c = this.z.redSqr(); + c = c.redIAdd(c); + // D = a * A + var d = this.curve._mulA(a); + // E = (X1 + Y1)^2 - A - B + var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b); + // G = D + B + var g = d.redAdd(b); + // F = G - C + var f = g.redSub(c); + // H = D - B + var h = d.redSub(b); + // X3 = E * F + var nx = e.redMul(f); + // Y3 = G * H + var ny = g.redMul(h); + // T3 = E * H + var nt = e.redMul(h); + // Z3 = F * G + var nz = f.redMul(g); + return this.curve.point(nx, ny, nz, nt); +}; + +Point.prototype._projDbl = function _projDbl() { + // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html + // #doubling-dbl-2008-bbjlp + // #doubling-dbl-2007-bl + // and others + // Generally 3M + 4S or 2M + 4S + + // B = (X1 + Y1)^2 + var b = this.x.redAdd(this.y).redSqr(); + // C = X1^2 + var c = this.x.redSqr(); + // D = Y1^2 + var d = this.y.redSqr(); + + var nx; + var ny; + var nz; + if (this.curve.twisted) { + // E = a * C + var e = this.curve._mulA(c); + // F = E + D + var f = e.redAdd(d); + if (this.zOne) { + // X3 = (B - C - D) * (F - 2) + nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two)); + // Y3 = F * (E - D) + ny = f.redMul(e.redSub(d)); + // Z3 = F^2 - 2 * F + nz = f.redSqr().redSub(f).redSub(f); + } else { + // H = Z1^2 + var h = this.z.redSqr(); + // J = F - 2 * H + var j = f.redSub(h).redISub(h); + // X3 = (B-C-D)*J + nx = b.redSub(c).redISub(d).redMul(j); + // Y3 = F * (E - D) + ny = f.redMul(e.redSub(d)); + // Z3 = F * J + nz = f.redMul(j); + } + } else { + // E = C + D + var e = c.redAdd(d); + // H = (c * Z1)^2 + var h = this.curve._mulC(this.c.redMul(this.z)).redSqr(); + // J = E - 2 * H + var j = e.redSub(h).redSub(h); + // X3 = c * (B - E) * J + nx = this.curve._mulC(b.redISub(e)).redMul(j); + // Y3 = c * E * (C - D) + ny = this.curve._mulC(e).redMul(c.redISub(d)); + // Z3 = E * J + nz = e.redMul(j); + } + return this.curve.point(nx, ny, nz); +}; + +Point.prototype.dbl = function dbl() { + if (this.isInfinity()) + return this; + + // Double in extended coordinates + if (this.curve.extended) + return this._extDbl(); + else + return this._projDbl(); +}; + +Point.prototype._extAdd = function _extAdd(p) { + // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html + // #addition-add-2008-hwcd-3 + // 8M + + // A = (Y1 - X1) * (Y2 - X2) + var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x)); + // B = (Y1 + X1) * (Y2 + X2) + var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x)); + // C = T1 * k * T2 + var c = this.t.redMul(this.curve.dd).redMul(p.t); + // D = Z1 * 2 * Z2 + var d = this.z.redMul(p.z.redAdd(p.z)); + // E = B - A + var e = b.redSub(a); + // F = D - C + var f = d.redSub(c); + // G = D + C + var g = d.redAdd(c); + // H = B + A + var h = b.redAdd(a); + // X3 = E * F + var nx = e.redMul(f); + // Y3 = G * H + var ny = g.redMul(h); + // T3 = E * H + var nt = e.redMul(h); + // Z3 = F * G + var nz = f.redMul(g); + return this.curve.point(nx, ny, nz, nt); +}; + +Point.prototype._projAdd = function _projAdd(p) { + // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html + // #addition-add-2008-bbjlp + // #addition-add-2007-bl + // 10M + 1S + + // A = Z1 * Z2 + var a = this.z.redMul(p.z); + // B = A^2 + var b = a.redSqr(); + // C = X1 * X2 + var c = this.x.redMul(p.x); + // D = Y1 * Y2 + var d = this.y.redMul(p.y); + // E = d * C * D + var e = this.curve.d.redMul(c).redMul(d); + // F = B - E + var f = b.redSub(e); + // G = B + E + var g = b.redAdd(e); + // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D) + var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d); + var nx = a.redMul(f).redMul(tmp); + var ny; + var nz; + if (this.curve.twisted) { + // Y3 = A * G * (D - a * C) + ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c))); + // Z3 = F * G + nz = f.redMul(g); + } else { + // Y3 = A * G * (D - C) + ny = a.redMul(g).redMul(d.redSub(c)); + // Z3 = c * F * G + nz = this.curve._mulC(f).redMul(g); + } + return this.curve.point(nx, ny, nz); +}; + +Point.prototype.add = function add(p) { + if (this.isInfinity()) + return p; + if (p.isInfinity()) + return this; + + if (this.curve.extended) + return this._extAdd(p); + else + return this._projAdd(p); +}; + +Point.prototype.mul = function mul(k) { + if (this._hasDoubles(k)) + return this.curve._fixedNafMul(this, k); + else + return this.curve._wnafMul(this, k); +}; + +Point.prototype.mulAdd = function mulAdd(k1, p, k2) { + return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false); +}; + +Point.prototype.jmulAdd = function jmulAdd(k1, p, k2) { + return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true); +}; + +Point.prototype.normalize = function normalize() { + if (this.zOne) + return this; + + // Normalize coordinates + var zi = this.z.redInvm(); + this.x = this.x.redMul(zi); + this.y = this.y.redMul(zi); + if (this.t) + this.t = this.t.redMul(zi); + this.z = this.curve.one; + this.zOne = true; + return this; +}; + +Point.prototype.neg = function neg() { + return this.curve.point(this.x.redNeg(), + this.y, + this.z, + this.t && this.t.redNeg()); +}; + +Point.prototype.getX = function getX() { + this.normalize(); + return this.x.fromRed(); +}; + +Point.prototype.getY = function getY() { + this.normalize(); + return this.y.fromRed(); +}; + +Point.prototype.eq = function eq(other) { + return this === other || + this.getX().cmp(other.getX()) === 0 && + this.getY().cmp(other.getY()) === 0; +}; + +Point.prototype.eqXToP = function eqXToP(x) { + var rx = x.toRed(this.curve.red).redMul(this.z); + if (this.x.cmp(rx) === 0) + return true; + + var xc = x.clone(); + var t = this.curve.redN.redMul(this.z); + for (;;) { + xc.iadd(this.curve.n); + if (xc.cmp(this.curve.p) >= 0) + return false; + + rx.redIAdd(t); + if (this.x.cmp(rx) === 0) + return true; + } + return false; +}; + +// Compatibility with BaseCurve +Point.prototype.toP = Point.prototype.normalize; +Point.prototype.mixedAdd = Point.prototype.add; + +},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],4:[function(require,module,exports){ +'use strict'; + +var curve = exports; + +curve.base = require('./base'); +curve.short = require('./short'); +curve.mont = require('./mont'); +curve.edwards = require('./edwards'); + +},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(require,module,exports){ +'use strict'; + +var curve = require('../curve'); +var BN = require('bn.js'); +var inherits = require('inherits'); +var Base = curve.base; + +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; + +function MontCurve(conf) { + Base.call(this, 'mont', conf); + + this.a = new BN(conf.a, 16).toRed(this.red); + this.b = new BN(conf.b, 16).toRed(this.red); + this.i4 = new BN(4).toRed(this.red).redInvm(); + this.two = new BN(2).toRed(this.red); + this.a24 = this.i4.redMul(this.a.redAdd(this.two)); +} +inherits(MontCurve, Base); +module.exports = MontCurve; + +MontCurve.prototype.validate = function validate(point) { + var x = point.normalize().x; + var x2 = x.redSqr(); + var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x); + var y = rhs.redSqrt(); + + return y.redSqr().cmp(rhs) === 0; +}; + +function Point(curve, x, z) { + Base.BasePoint.call(this, curve, 'projective'); + if (x === null && z === null) { + this.x = this.curve.one; + this.z = this.curve.zero; + } else { + this.x = new BN(x, 16); + this.z = new BN(z, 16); + if (!this.x.red) + this.x = this.x.toRed(this.curve.red); + if (!this.z.red) + this.z = this.z.toRed(this.curve.red); + } +} +inherits(Point, Base.BasePoint); + +MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) { + return this.point(utils.toArray(bytes, enc), 1); +}; + +MontCurve.prototype.point = function point(x, z) { + return new Point(this, x, z); +}; + +MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) { + return Point.fromJSON(this, obj); +}; + +Point.prototype.precompute = function precompute() { + // No-op +}; + +Point.prototype._encode = function _encode() { + return this.getX().toArray('be', this.curve.p.byteLength()); +}; + +Point.fromJSON = function fromJSON(curve, obj) { + return new Point(curve, obj[0], obj[1] || curve.one); +}; + +Point.prototype.inspect = function inspect() { + if (this.isInfinity()) + return ''; + return ''; +}; + +Point.prototype.isInfinity = function isInfinity() { + // XXX This code assumes that zero is always zero in red + return this.z.cmpn(0) === 0; +}; + +Point.prototype.dbl = function dbl() { + // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3 + // 2M + 2S + 4A + + // A = X1 + Z1 + var a = this.x.redAdd(this.z); + // AA = A^2 + var aa = a.redSqr(); + // B = X1 - Z1 + var b = this.x.redSub(this.z); + // BB = B^2 + var bb = b.redSqr(); + // C = AA - BB + var c = aa.redSub(bb); + // X3 = AA * BB + var nx = aa.redMul(bb); + // Z3 = C * (BB + A24 * C) + var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c))); + return this.curve.point(nx, nz); +}; + +Point.prototype.add = function add() { + throw new Error('Not supported on Montgomery curve'); +}; + +Point.prototype.diffAdd = function diffAdd(p, diff) { + // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3 + // 4M + 2S + 6A + + // A = X2 + Z2 + var a = this.x.redAdd(this.z); + // B = X2 - Z2 + var b = this.x.redSub(this.z); + // C = X3 + Z3 + var c = p.x.redAdd(p.z); + // D = X3 - Z3 + var d = p.x.redSub(p.z); + // DA = D * A + var da = d.redMul(a); + // CB = C * B + var cb = c.redMul(b); + // X5 = Z1 * (DA + CB)^2 + var nx = diff.z.redMul(da.redAdd(cb).redSqr()); + // Z5 = X1 * (DA - CB)^2 + var nz = diff.x.redMul(da.redISub(cb).redSqr()); + return this.curve.point(nx, nz); +}; + +Point.prototype.mul = function mul(k) { + var t = k.clone(); + var a = this; // (N / 2) * Q + Q + var b = this.curve.point(null, null); // (N / 2) * Q + var c = this; // Q + + for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1)) + bits.push(t.andln(1)); + + for (var i = bits.length - 1; i >= 0; i--) { + if (bits[i] === 0) { + // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q + a = a.diffAdd(b, c); + // N * Q = 2 * ((N / 2) * Q + Q)) + b = b.dbl(); + } else { + // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q) + b = a.diffAdd(b, c); + // N * Q + Q = 2 * ((N / 2) * Q + Q) + a = a.dbl(); + } + } + return b; +}; + +Point.prototype.mulAdd = function mulAdd() { + throw new Error('Not supported on Montgomery curve'); +}; + +Point.prototype.jumlAdd = function jumlAdd() { + throw new Error('Not supported on Montgomery curve'); +}; + +Point.prototype.eq = function eq(other) { + return this.getX().cmp(other.getX()) === 0; +}; + +Point.prototype.normalize = function normalize() { + this.x = this.x.redMul(this.z.redInvm()); + this.z = this.curve.one; + return this; +}; + +Point.prototype.getX = function getX() { + // Normalize coordinates + this.normalize(); + + return this.x.fromRed(); +}; + +},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],6:[function(require,module,exports){ +'use strict'; + +var curve = require('../curve'); +var elliptic = require('../../elliptic'); +var BN = require('bn.js'); +var inherits = require('inherits'); +var Base = curve.base; + +var assert = elliptic.utils.assert; + +function ShortCurve(conf) { + Base.call(this, 'short', conf); + + this.a = new BN(conf.a, 16).toRed(this.red); + this.b = new BN(conf.b, 16).toRed(this.red); + this.tinv = this.two.redInvm(); + + this.zeroA = this.a.fromRed().cmpn(0) === 0; + this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0; + + // If the curve is endomorphic, precalculate beta and lambda + this.endo = this._getEndomorphism(conf); + this._endoWnafT1 = new Array(4); + this._endoWnafT2 = new Array(4); +} +inherits(ShortCurve, Base); +module.exports = ShortCurve; + +ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { + // No efficient endomorphism + if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1) + return; + + // Compute beta and lambda, that lambda * P = (beta * Px; Py) + var beta; + var lambda; + if (conf.beta) { + beta = new BN(conf.beta, 16).toRed(this.red); + } else { + var betas = this._getEndoRoots(this.p); + // Choose the smallest beta + beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1]; + beta = beta.toRed(this.red); + } + if (conf.lambda) { + lambda = new BN(conf.lambda, 16); + } else { + // Choose the lambda that is matching selected beta + var lambdas = this._getEndoRoots(this.n); + if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) { + lambda = lambdas[0]; + } else { + lambda = lambdas[1]; + assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0); + } + } + + // Get basis vectors, used for balanced length-two representation + var basis; + if (conf.basis) { + basis = conf.basis.map(function(vec) { + return { + a: new BN(vec.a, 16), + b: new BN(vec.b, 16) + }; + }); + } else { + basis = this._getEndoBasis(lambda); + } + + return { + beta: beta, + lambda: lambda, + basis: basis + }; +}; + +ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) { + // Find roots of for x^2 + x + 1 in F + // Root = (-1 +- Sqrt(-3)) / 2 + // + var red = num === this.p ? this.red : BN.mont(num); + var tinv = new BN(2).toRed(red).redInvm(); + var ntinv = tinv.redNeg(); + + var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv); + + var l1 = ntinv.redAdd(s).fromRed(); + var l2 = ntinv.redSub(s).fromRed(); + return [ l1, l2 ]; +}; + +ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { + // aprxSqrt >= sqrt(this.n) + var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2)); + + // 3.74 + // Run EGCD, until r(L + 1) < aprxSqrt + var u = lambda; + var v = this.n.clone(); + var x1 = new BN(1); + var y1 = new BN(0); + var x2 = new BN(0); + var y2 = new BN(1); + + // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n) + var a0; + var b0; + // First vector + var a1; + var b1; + // Second vector + var a2; + var b2; + + var prevR; + var i = 0; + var r; + var x; + while (u.cmpn(0) !== 0) { + var q = v.div(u); + r = v.sub(q.mul(u)); + x = x2.sub(q.mul(x1)); + var y = y2.sub(q.mul(y1)); + + if (!a1 && r.cmp(aprxSqrt) < 0) { + a0 = prevR.neg(); + b0 = x1; + a1 = r.neg(); + b1 = x; + } else if (a1 && ++i === 2) { + break; + } + prevR = r; + + v = u; + u = r; + x2 = x1; + x1 = x; + y2 = y1; + y1 = y; + } + a2 = r.neg(); + b2 = x; + + var len1 = a1.sqr().add(b1.sqr()); + var len2 = a2.sqr().add(b2.sqr()); + if (len2.cmp(len1) >= 0) { + a2 = a0; + b2 = b0; + } + + // Normalize signs + if (a1.negative) { + a1 = a1.neg(); + b1 = b1.neg(); + } + if (a2.negative) { + a2 = a2.neg(); + b2 = b2.neg(); + } + + return [ + { a: a1, b: b1 }, + { a: a2, b: b2 } + ]; +}; + +ShortCurve.prototype._endoSplit = function _endoSplit(k) { + var basis = this.endo.basis; + var v1 = basis[0]; + var v2 = basis[1]; + + var c1 = v2.b.mul(k).divRound(this.n); + var c2 = v1.b.neg().mul(k).divRound(this.n); + + var p1 = c1.mul(v1.a); + var p2 = c2.mul(v2.a); + var q1 = c1.mul(v1.b); + var q2 = c2.mul(v2.b); + + // Calculate answer + var k1 = k.sub(p1).sub(p2); + var k2 = q1.add(q2).neg(); + return { k1: k1, k2: k2 }; +}; + +ShortCurve.prototype.pointFromX = function pointFromX(x, odd) { + x = new BN(x, 16); + if (!x.red) + x = x.toRed(this.red); + + var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b); + var y = y2.redSqrt(); + if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) + throw new Error('invalid point'); + + // XXX Is there any way to tell if the number is odd without converting it + // to non-red form? + var isOdd = y.fromRed().isOdd(); + if (odd && !isOdd || !odd && isOdd) + y = y.redNeg(); + + return this.point(x, y); +}; + +ShortCurve.prototype.validate = function validate(point) { + if (point.inf) + return true; + + var x = point.x; + var y = point.y; + + var ax = this.a.redMul(x); + var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b); + return y.redSqr().redISub(rhs).cmpn(0) === 0; +}; + +ShortCurve.prototype._endoWnafMulAdd = + function _endoWnafMulAdd(points, coeffs, jacobianResult) { + var npoints = this._endoWnafT1; + var ncoeffs = this._endoWnafT2; + for (var i = 0; i < points.length; i++) { + var split = this._endoSplit(coeffs[i]); + var p = points[i]; + var beta = p._getBeta(); + + if (split.k1.negative) { + split.k1.ineg(); + p = p.neg(true); + } + if (split.k2.negative) { + split.k2.ineg(); + beta = beta.neg(true); + } + + npoints[i * 2] = p; + npoints[i * 2 + 1] = beta; + ncoeffs[i * 2] = split.k1; + ncoeffs[i * 2 + 1] = split.k2; + } + var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult); + + // Clean-up references to points and coefficients + for (var j = 0; j < i * 2; j++) { + npoints[j] = null; + ncoeffs[j] = null; + } + return res; +}; + +function Point(curve, x, y, isRed) { + Base.BasePoint.call(this, curve, 'affine'); + if (x === null && y === null) { + this.x = null; + this.y = null; + this.inf = true; + } else { + this.x = new BN(x, 16); + this.y = new BN(y, 16); + // Force redgomery representation when loading from JSON + if (isRed) { + this.x.forceRed(this.curve.red); + this.y.forceRed(this.curve.red); + } + if (!this.x.red) + this.x = this.x.toRed(this.curve.red); + if (!this.y.red) + this.y = this.y.toRed(this.curve.red); + this.inf = false; + } +} +inherits(Point, Base.BasePoint); + +ShortCurve.prototype.point = function point(x, y, isRed) { + return new Point(this, x, y, isRed); +}; + +ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) { + return Point.fromJSON(this, obj, red); +}; + +Point.prototype._getBeta = function _getBeta() { + if (!this.curve.endo) + return; + + var pre = this.precomputed; + if (pre && pre.beta) + return pre.beta; + + var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y); + if (pre) { + var curve = this.curve; + var endoMul = function(p) { + return curve.point(p.x.redMul(curve.endo.beta), p.y); + }; + pre.beta = beta; + beta.precomputed = { + beta: null, + naf: pre.naf && { + wnd: pre.naf.wnd, + points: pre.naf.points.map(endoMul) + }, + doubles: pre.doubles && { + step: pre.doubles.step, + points: pre.doubles.points.map(endoMul) + } + }; + } + return beta; +}; + +Point.prototype.toJSON = function toJSON() { + if (!this.precomputed) + return [ this.x, this.y ]; + + return [ this.x, this.y, this.precomputed && { + doubles: this.precomputed.doubles && { + step: this.precomputed.doubles.step, + points: this.precomputed.doubles.points.slice(1) + }, + naf: this.precomputed.naf && { + wnd: this.precomputed.naf.wnd, + points: this.precomputed.naf.points.slice(1) + } + } ]; +}; + +Point.fromJSON = function fromJSON(curve, obj, red) { + if (typeof obj === 'string') + obj = JSON.parse(obj); + var res = curve.point(obj[0], obj[1], red); + if (!obj[2]) + return res; + + function obj2point(obj) { + return curve.point(obj[0], obj[1], red); + } + + var pre = obj[2]; + res.precomputed = { + beta: null, + doubles: pre.doubles && { + step: pre.doubles.step, + points: [ res ].concat(pre.doubles.points.map(obj2point)) + }, + naf: pre.naf && { + wnd: pre.naf.wnd, + points: [ res ].concat(pre.naf.points.map(obj2point)) + } + }; + return res; +}; + +Point.prototype.inspect = function inspect() { + if (this.isInfinity()) + return ''; + return ''; +}; + +Point.prototype.isInfinity = function isInfinity() { + return this.inf; +}; + +Point.prototype.add = function add(p) { + // O + P = P + if (this.inf) + return p; + + // P + O = P + if (p.inf) + return this; + + // P + P = 2P + if (this.eq(p)) + return this.dbl(); + + // P + (-P) = O + if (this.neg().eq(p)) + return this.curve.point(null, null); + + // P + Q = O + if (this.x.cmp(p.x) === 0) + return this.curve.point(null, null); + + var c = this.y.redSub(p.y); + if (c.cmpn(0) !== 0) + c = c.redMul(this.x.redSub(p.x).redInvm()); + var nx = c.redSqr().redISub(this.x).redISub(p.x); + var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); + return this.curve.point(nx, ny); +}; + +Point.prototype.dbl = function dbl() { + if (this.inf) + return this; + + // 2P = O + var ys1 = this.y.redAdd(this.y); + if (ys1.cmpn(0) === 0) + return this.curve.point(null, null); + + var a = this.curve.a; + + var x2 = this.x.redSqr(); + var dyinv = ys1.redInvm(); + var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv); + + var nx = c.redSqr().redISub(this.x.redAdd(this.x)); + var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); + return this.curve.point(nx, ny); +}; + +Point.prototype.getX = function getX() { + return this.x.fromRed(); +}; + +Point.prototype.getY = function getY() { + return this.y.fromRed(); +}; + +Point.prototype.mul = function mul(k) { + k = new BN(k, 16); + + if (this._hasDoubles(k)) + return this.curve._fixedNafMul(this, k); + else if (this.curve.endo) + return this.curve._endoWnafMulAdd([ this ], [ k ]); + else + return this.curve._wnafMul(this, k); +}; + +Point.prototype.mulAdd = function mulAdd(k1, p2, k2) { + var points = [ this, p2 ]; + var coeffs = [ k1, k2 ]; + if (this.curve.endo) + return this.curve._endoWnafMulAdd(points, coeffs); + else + return this.curve._wnafMulAdd(1, points, coeffs, 2); +}; + +Point.prototype.jmulAdd = function jmulAdd(k1, p2, k2) { + var points = [ this, p2 ]; + var coeffs = [ k1, k2 ]; + if (this.curve.endo) + return this.curve._endoWnafMulAdd(points, coeffs, true); + else + return this.curve._wnafMulAdd(1, points, coeffs, 2, true); +}; + +Point.prototype.eq = function eq(p) { + return this === p || + this.inf === p.inf && + (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0); +}; + +Point.prototype.neg = function neg(_precompute) { + if (this.inf) + return this; + + var res = this.curve.point(this.x, this.y.redNeg()); + if (_precompute && this.precomputed) { + var pre = this.precomputed; + var negate = function(p) { + return p.neg(); + }; + res.precomputed = { + naf: pre.naf && { + wnd: pre.naf.wnd, + points: pre.naf.points.map(negate) + }, + doubles: pre.doubles && { + step: pre.doubles.step, + points: pre.doubles.points.map(negate) + } + }; + } + return res; +}; + +Point.prototype.toJ = function toJ() { + if (this.inf) + return this.curve.jpoint(null, null, null); + + var res = this.curve.jpoint(this.x, this.y, this.curve.one); + return res; +}; + +function JPoint(curve, x, y, z) { + Base.BasePoint.call(this, curve, 'jacobian'); + if (x === null && y === null && z === null) { + this.x = this.curve.one; + this.y = this.curve.one; + this.z = new BN(0); + } else { + this.x = new BN(x, 16); + this.y = new BN(y, 16); + this.z = new BN(z, 16); + } + if (!this.x.red) + this.x = this.x.toRed(this.curve.red); + if (!this.y.red) + this.y = this.y.toRed(this.curve.red); + if (!this.z.red) + this.z = this.z.toRed(this.curve.red); + + this.zOne = this.z === this.curve.one; +} +inherits(JPoint, Base.BasePoint); + +ShortCurve.prototype.jpoint = function jpoint(x, y, z) { + return new JPoint(this, x, y, z); +}; + +JPoint.prototype.toP = function toP() { + if (this.isInfinity()) + return this.curve.point(null, null); + + var zinv = this.z.redInvm(); + var zinv2 = zinv.redSqr(); + var ax = this.x.redMul(zinv2); + var ay = this.y.redMul(zinv2).redMul(zinv); + + return this.curve.point(ax, ay); +}; + +JPoint.prototype.neg = function neg() { + return this.curve.jpoint(this.x, this.y.redNeg(), this.z); +}; + +JPoint.prototype.add = function add(p) { + // O + P = P + if (this.isInfinity()) + return p; + + // P + O = P + if (p.isInfinity()) + return this; + + // 12M + 4S + 7A + var pz2 = p.z.redSqr(); + var z2 = this.z.redSqr(); + var u1 = this.x.redMul(pz2); + var u2 = p.x.redMul(z2); + var s1 = this.y.redMul(pz2.redMul(p.z)); + var s2 = p.y.redMul(z2.redMul(this.z)); + + var h = u1.redSub(u2); + var r = s1.redSub(s2); + if (h.cmpn(0) === 0) { + if (r.cmpn(0) !== 0) + return this.curve.jpoint(null, null, null); + else + return this.dbl(); + } + + var h2 = h.redSqr(); + var h3 = h2.redMul(h); + var v = u1.redMul(h2); + + var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); + var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); + var nz = this.z.redMul(p.z).redMul(h); + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype.mixedAdd = function mixedAdd(p) { + // O + P = P + if (this.isInfinity()) + return p.toJ(); + + // P + O = P + if (p.isInfinity()) + return this; + + // 8M + 3S + 7A + var z2 = this.z.redSqr(); + var u1 = this.x; + var u2 = p.x.redMul(z2); + var s1 = this.y; + var s2 = p.y.redMul(z2).redMul(this.z); + + var h = u1.redSub(u2); + var r = s1.redSub(s2); + if (h.cmpn(0) === 0) { + if (r.cmpn(0) !== 0) + return this.curve.jpoint(null, null, null); + else + return this.dbl(); + } + + var h2 = h.redSqr(); + var h3 = h2.redMul(h); + var v = u1.redMul(h2); + + var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); + var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); + var nz = this.z.redMul(h); + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype.dblp = function dblp(pow) { + if (pow === 0) + return this; + if (this.isInfinity()) + return this; + if (!pow) + return this.dbl(); + + if (this.curve.zeroA || this.curve.threeA) { + var r = this; + for (var i = 0; i < pow; i++) + r = r.dbl(); + return r; + } + + // 1M + 2S + 1A + N * (4S + 5M + 8A) + // N = 1 => 6M + 6S + 9A + var a = this.curve.a; + var tinv = this.curve.tinv; + + var jx = this.x; + var jy = this.y; + var jz = this.z; + var jz4 = jz.redSqr().redSqr(); + + // Reuse results + var jyd = jy.redAdd(jy); + for (var i = 0; i < pow; i++) { + var jx2 = jx.redSqr(); + var jyd2 = jyd.redSqr(); + var jyd4 = jyd2.redSqr(); + var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); + + var t1 = jx.redMul(jyd2); + var nx = c.redSqr().redISub(t1.redAdd(t1)); + var t2 = t1.redISub(nx); + var dny = c.redMul(t2); + dny = dny.redIAdd(dny).redISub(jyd4); + var nz = jyd.redMul(jz); + if (i + 1 < pow) + jz4 = jz4.redMul(jyd4); + + jx = nx; + jz = nz; + jyd = dny; + } + + return this.curve.jpoint(jx, jyd.redMul(tinv), jz); +}; + +JPoint.prototype.dbl = function dbl() { + if (this.isInfinity()) + return this; + + if (this.curve.zeroA) + return this._zeroDbl(); + else if (this.curve.threeA) + return this._threeDbl(); + else + return this._dbl(); +}; + +JPoint.prototype._zeroDbl = function _zeroDbl() { + var nx; + var ny; + var nz; + // Z = 1 + if (this.zOne) { + // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html + // #doubling-mdbl-2007-bl + // 1M + 5S + 14A + + // XX = X1^2 + var xx = this.x.redSqr(); + // YY = Y1^2 + var yy = this.y.redSqr(); + // YYYY = YY^2 + var yyyy = yy.redSqr(); + // S = 2 * ((X1 + YY)^2 - XX - YYYY) + var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); + s = s.redIAdd(s); + // M = 3 * XX + a; a = 0 + var m = xx.redAdd(xx).redIAdd(xx); + // T = M ^ 2 - 2*S + var t = m.redSqr().redISub(s).redISub(s); + + // 8 * YYYY + var yyyy8 = yyyy.redIAdd(yyyy); + yyyy8 = yyyy8.redIAdd(yyyy8); + yyyy8 = yyyy8.redIAdd(yyyy8); + + // X3 = T + nx = t; + // Y3 = M * (S - T) - 8 * YYYY + ny = m.redMul(s.redISub(t)).redISub(yyyy8); + // Z3 = 2*Y1 + nz = this.y.redAdd(this.y); + } else { + // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html + // #doubling-dbl-2009-l + // 2M + 5S + 13A + + // A = X1^2 + var a = this.x.redSqr(); + // B = Y1^2 + var b = this.y.redSqr(); + // C = B^2 + var c = b.redSqr(); + // D = 2 * ((X1 + B)^2 - A - C) + var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c); + d = d.redIAdd(d); + // E = 3 * A + var e = a.redAdd(a).redIAdd(a); + // F = E^2 + var f = e.redSqr(); + + // 8 * C + var c8 = c.redIAdd(c); + c8 = c8.redIAdd(c8); + c8 = c8.redIAdd(c8); + + // X3 = F - 2 * D + nx = f.redISub(d).redISub(d); + // Y3 = E * (D - X3) - 8 * C + ny = e.redMul(d.redISub(nx)).redISub(c8); + // Z3 = 2 * Y1 * Z1 + nz = this.y.redMul(this.z); + nz = nz.redIAdd(nz); + } + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype._threeDbl = function _threeDbl() { + var nx; + var ny; + var nz; + // Z = 1 + if (this.zOne) { + // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html + // #doubling-mdbl-2007-bl + // 1M + 5S + 15A + + // XX = X1^2 + var xx = this.x.redSqr(); + // YY = Y1^2 + var yy = this.y.redSqr(); + // YYYY = YY^2 + var yyyy = yy.redSqr(); + // S = 2 * ((X1 + YY)^2 - XX - YYYY) + var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); + s = s.redIAdd(s); + // M = 3 * XX + a + var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a); + // T = M^2 - 2 * S + var t = m.redSqr().redISub(s).redISub(s); + // X3 = T + nx = t; + // Y3 = M * (S - T) - 8 * YYYY + var yyyy8 = yyyy.redIAdd(yyyy); + yyyy8 = yyyy8.redIAdd(yyyy8); + yyyy8 = yyyy8.redIAdd(yyyy8); + ny = m.redMul(s.redISub(t)).redISub(yyyy8); + // Z3 = 2 * Y1 + nz = this.y.redAdd(this.y); + } else { + // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b + // 3M + 5S + + // delta = Z1^2 + var delta = this.z.redSqr(); + // gamma = Y1^2 + var gamma = this.y.redSqr(); + // beta = X1 * gamma + var beta = this.x.redMul(gamma); + // alpha = 3 * (X1 - delta) * (X1 + delta) + var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta)); + alpha = alpha.redAdd(alpha).redIAdd(alpha); + // X3 = alpha^2 - 8 * beta + var beta4 = beta.redIAdd(beta); + beta4 = beta4.redIAdd(beta4); + var beta8 = beta4.redAdd(beta4); + nx = alpha.redSqr().redISub(beta8); + // Z3 = (Y1 + Z1)^2 - gamma - delta + nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta); + // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2 + var ggamma8 = gamma.redSqr(); + ggamma8 = ggamma8.redIAdd(ggamma8); + ggamma8 = ggamma8.redIAdd(ggamma8); + ggamma8 = ggamma8.redIAdd(ggamma8); + ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8); + } + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype._dbl = function _dbl() { + var a = this.curve.a; + + // 4M + 6S + 10A + var jx = this.x; + var jy = this.y; + var jz = this.z; + var jz4 = jz.redSqr().redSqr(); + + var jx2 = jx.redSqr(); + var jy2 = jy.redSqr(); + + var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); + + var jxd4 = jx.redAdd(jx); + jxd4 = jxd4.redIAdd(jxd4); + var t1 = jxd4.redMul(jy2); + var nx = c.redSqr().redISub(t1.redAdd(t1)); + var t2 = t1.redISub(nx); + + var jyd8 = jy2.redSqr(); + jyd8 = jyd8.redIAdd(jyd8); + jyd8 = jyd8.redIAdd(jyd8); + jyd8 = jyd8.redIAdd(jyd8); + var ny = c.redMul(t2).redISub(jyd8); + var nz = jy.redAdd(jy).redMul(jz); + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype.trpl = function trpl() { + if (!this.curve.zeroA) + return this.dbl().add(this); + + // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl + // 5M + 10S + ... + + // XX = X1^2 + var xx = this.x.redSqr(); + // YY = Y1^2 + var yy = this.y.redSqr(); + // ZZ = Z1^2 + var zz = this.z.redSqr(); + // YYYY = YY^2 + var yyyy = yy.redSqr(); + // M = 3 * XX + a * ZZ2; a = 0 + var m = xx.redAdd(xx).redIAdd(xx); + // MM = M^2 + var mm = m.redSqr(); + // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM + var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); + e = e.redIAdd(e); + e = e.redAdd(e).redIAdd(e); + e = e.redISub(mm); + // EE = E^2 + var ee = e.redSqr(); + // T = 16*YYYY + var t = yyyy.redIAdd(yyyy); + t = t.redIAdd(t); + t = t.redIAdd(t); + t = t.redIAdd(t); + // U = (M + E)^2 - MM - EE - T + var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t); + // X3 = 4 * (X1 * EE - 4 * YY * U) + var yyu4 = yy.redMul(u); + yyu4 = yyu4.redIAdd(yyu4); + yyu4 = yyu4.redIAdd(yyu4); + var nx = this.x.redMul(ee).redISub(yyu4); + nx = nx.redIAdd(nx); + nx = nx.redIAdd(nx); + // Y3 = 8 * Y1 * (U * (T - U) - E * EE) + var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee))); + ny = ny.redIAdd(ny); + ny = ny.redIAdd(ny); + ny = ny.redIAdd(ny); + // Z3 = (Z1 + E)^2 - ZZ - EE + var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee); + + return this.curve.jpoint(nx, ny, nz); +}; + +JPoint.prototype.mul = function mul(k, kbase) { + k = new BN(k, kbase); + + return this.curve._wnafMul(this, k); +}; + +JPoint.prototype.eq = function eq(p) { + if (p.type === 'affine') + return this.eq(p.toJ()); + + if (this === p) + return true; + + // x1 * z2^2 == x2 * z1^2 + var z2 = this.z.redSqr(); + var pz2 = p.z.redSqr(); + if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0) + return false; + + // y1 * z2^3 == y2 * z1^3 + var z3 = z2.redMul(this.z); + var pz3 = pz2.redMul(p.z); + return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0; +}; + +JPoint.prototype.eqXToP = function eqXToP(x) { + var zs = this.z.redSqr(); + var rx = x.toRed(this.curve.red).redMul(zs); + if (this.x.cmp(rx) === 0) + return true; + + var xc = x.clone(); + var t = this.curve.redN.redMul(zs); + for (;;) { + xc.iadd(this.curve.n); + if (xc.cmp(this.curve.p) >= 0) + return false; + + rx.redIAdd(t); + if (this.x.cmp(rx) === 0) + return true; + } + return false; +}; + +JPoint.prototype.inspect = function inspect() { + if (this.isInfinity()) + return ''; + return ''; +}; + +JPoint.prototype.isInfinity = function isInfinity() { + // XXX This code assumes that zero is always zero in red + return this.z.cmpn(0) === 0; +}; + +},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],7:[function(require,module,exports){ +'use strict'; + +var curves = exports; + +var hash = require('hash.js'); +var elliptic = require('../elliptic'); + +var assert = elliptic.utils.assert; + +function PresetCurve(options) { + if (options.type === 'short') + this.curve = new elliptic.curve.short(options); + else if (options.type === 'edwards') + this.curve = new elliptic.curve.edwards(options); + else + this.curve = new elliptic.curve.mont(options); + this.g = this.curve.g; + this.n = this.curve.n; + this.hash = options.hash; + + assert(this.g.validate(), 'Invalid curve'); + assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O'); +} +curves.PresetCurve = PresetCurve; + +function defineCurve(name, options) { + Object.defineProperty(curves, name, { + configurable: true, + enumerable: true, + get: function() { + var curve = new PresetCurve(options); + Object.defineProperty(curves, name, { + configurable: true, + enumerable: true, + value: curve + }); + return curve; + } + }); +} + +defineCurve('p192', { + type: 'short', + prime: 'p192', + p: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff', + a: 'ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc', + b: '64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1', + n: 'ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831', + hash: hash.sha256, + gRed: false, + g: [ + '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', + '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811' + ] +}); + +defineCurve('p224', { + type: 'short', + prime: 'p224', + p: 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001', + a: 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe', + b: 'b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4', + n: 'ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d', + hash: hash.sha256, + gRed: false, + g: [ + 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', + 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34' + ] +}); + +defineCurve('p256', { + type: 'short', + prime: null, + p: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff', + a: 'ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc', + b: '5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b', + n: 'ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551', + hash: hash.sha256, + gRed: false, + g: [ + '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', + '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5' + ] +}); + +defineCurve('p384', { + type: 'short', + prime: null, + p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'fffffffe ffffffff 00000000 00000000 ffffffff', + a: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'fffffffe ffffffff 00000000 00000000 fffffffc', + b: 'b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f ' + + '5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef', + n: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 ' + + 'f4372ddf 581a0db2 48b0a77a ecec196a ccc52973', + hash: hash.sha384, + gRed: false, + g: [ + 'aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 ' + + '5502f25d bf55296c 3a545e38 72760ab7', + '3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 ' + + '0a60b1ce 1d7e819d 7a431d7c 90ea0e5f' + ] +}); + +defineCurve('p521', { + type: 'short', + prime: null, + p: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'ffffffff ffffffff ffffffff ffffffff ffffffff', + a: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'ffffffff ffffffff ffffffff ffffffff fffffffc', + b: '00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b ' + + '99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd ' + + '3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00', + n: '000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ' + + 'ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 ' + + 'f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409', + hash: hash.sha512, + gRed: false, + g: [ + '000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 ' + + '053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 ' + + 'a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66', + '00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 ' + + '579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 ' + + '3fad0761 353c7086 a272c240 88be9476 9fd16650' + ] +}); + +defineCurve('curve25519', { + type: 'mont', + prime: 'p25519', + p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', + a: '76d06', + b: '1', + n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', + hash: hash.sha256, + gRed: false, + g: [ + '9' + ] +}); + +defineCurve('ed25519', { + type: 'edwards', + prime: 'p25519', + p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', + a: '-1', + c: '1', + // -121665 * (121666^(-1)) (mod P) + d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3', + n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', + hash: hash.sha256, + gRed: false, + g: [ + '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', + + // 4/5 + '6666666666666666666666666666666666666666666666666666666666666658' + ] +}); + +var pre; +try { + pre = require('./precomputed/secp256k1'); +} catch (e) { + pre = undefined; +} + +defineCurve('secp256k1', { + type: 'short', + prime: 'k256', + p: 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f', + a: '0', + b: '7', + n: 'ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141', + h: '1', + hash: hash.sha256, + + // Precomputed endomorphism + beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee', + lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72', + basis: [ + { + a: '3086d221a7d46bcde86c90e49284eb15', + b: '-e4437ed6010e88286f547fa90abfe4c3' + }, + { + a: '114ca50f7a8e2f3f657c1108d9d44cfd8', + b: '3086d221a7d46bcde86c90e49284eb15' + } + ], + + gRed: false, + g: [ + '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', + '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', + pre + ] +}); + +},{"../elliptic":1,"./precomputed/secp256k1":14,"hash.js":19}],8:[function(require,module,exports){ +'use strict'; + +var BN = require('bn.js'); +var HmacDRBG = require('hmac-drbg'); +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; + +var KeyPair = require('./key'); +var Signature = require('./signature'); + +function EC(options) { + if (!(this instanceof EC)) + return new EC(options); + + // Shortcut `elliptic.ec(curve-name)` + if (typeof options === 'string') { + assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options); + + options = elliptic.curves[options]; + } + + // Shortcut for `elliptic.ec(elliptic.curves.curveName)` + if (options instanceof elliptic.curves.PresetCurve) + options = { curve: options }; + + this.curve = options.curve.curve; + this.n = this.curve.n; + this.nh = this.n.ushrn(1); + this.g = this.curve.g; + + // Point on curve + this.g = options.curve.g; + this.g.precompute(options.curve.n.bitLength() + 1); + + // Hash for function for DRBG + this.hash = options.hash || options.curve.hash; +} +module.exports = EC; + +EC.prototype.keyPair = function keyPair(options) { + return new KeyPair(this, options); +}; + +EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) { + return KeyPair.fromPrivate(this, priv, enc); +}; + +EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) { + return KeyPair.fromPublic(this, pub, enc); +}; + +EC.prototype.genKeyPair = function genKeyPair(options) { + if (!options) + options = {}; + + // Instantiate Hmac_DRBG + var drbg = new HmacDRBG({ + hash: this.hash, + pers: options.pers, + persEnc: options.persEnc || 'utf8', + entropy: options.entropy || elliptic.rand(this.hash.hmacStrength), + entropyEnc: options.entropy && options.entropyEnc || 'utf8', + nonce: this.n.toArray() + }); + + var bytes = this.n.byteLength(); + var ns2 = this.n.sub(new BN(2)); + do { + var priv = new BN(drbg.generate(bytes)); + if (priv.cmp(ns2) > 0) + continue; + + priv.iaddn(1); + return this.keyFromPrivate(priv); + } while (true); +}; + +EC.prototype._truncateToN = function truncateToN(msg, truncOnly) { + var delta = msg.byteLength() * 8 - this.n.bitLength(); + if (delta > 0) + msg = msg.ushrn(delta); + if (!truncOnly && msg.cmp(this.n) >= 0) + return msg.sub(this.n); + else + return msg; +}; + +EC.prototype.sign = function sign(msg, key, enc, options) { + if (typeof enc === 'object') { + options = enc; + enc = null; + } + if (!options) + options = {}; + + key = this.keyFromPrivate(key, enc); + msg = this._truncateToN(new BN(msg, 16)); + + // Zero-extend key to provide enough entropy + var bytes = this.n.byteLength(); + var bkey = key.getPrivate().toArray('be', bytes); + + // Zero-extend nonce to have the same byte size as N + var nonce = msg.toArray('be', bytes); + + // Instantiate Hmac_DRBG + var drbg = new HmacDRBG({ + hash: this.hash, + entropy: bkey, + nonce: nonce, + pers: options.pers, + persEnc: options.persEnc || 'utf8' + }); + + // Number of bytes to generate + var ns1 = this.n.sub(new BN(1)); + + for (var iter = 0; true; iter++) { + var k = options.k ? + options.k(iter) : + new BN(drbg.generate(this.n.byteLength())); + k = this._truncateToN(k, true); + if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0) + continue; + + var kp = this.g.mul(k); + if (kp.isInfinity()) + continue; + + var kpX = kp.getX(); + var r = kpX.umod(this.n); + if (r.cmpn(0) === 0) + continue; + + var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg)); + s = s.umod(this.n); + if (s.cmpn(0) === 0) + continue; + + var recoveryParam = (kp.getY().isOdd() ? 1 : 0) | + (kpX.cmp(r) !== 0 ? 2 : 0); + + // Use complement of `s`, if it is > `n / 2` + if (options.canonical && s.cmp(this.nh) > 0) { + s = this.n.sub(s); + recoveryParam ^= 1; + } + + return new Signature({ r: r, s: s, recoveryParam: recoveryParam }); + } +}; + +EC.prototype.verify = function verify(msg, signature, key, enc) { + msg = this._truncateToN(new BN(msg, 16)); + key = this.keyFromPublic(key, enc); + signature = new Signature(signature, 'hex'); + + // Perform primitive values validation + var r = signature.r; + var s = signature.s; + if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0) + return false; + if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0) + return false; + + // Validate signature + var sinv = s.invm(this.n); + var u1 = sinv.mul(msg).umod(this.n); + var u2 = sinv.mul(r).umod(this.n); + + if (!this.curve._maxwellTrick) { + var p = this.g.mulAdd(u1, key.getPublic(), u2); + if (p.isInfinity()) + return false; + + return p.getX().umod(this.n).cmp(r) === 0; + } + + // NOTE: Greg Maxwell's trick, inspired by: + // https://git.io/vad3K + + var p = this.g.jmulAdd(u1, key.getPublic(), u2); + if (p.isInfinity()) + return false; + + // Compare `p.x` of Jacobian point with `r`, + // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the + // inverse of `p.z^2` + return p.eqXToP(r); +}; + +EC.prototype.recoverPubKey = function(msg, signature, j, enc) { + assert((3 & j) === j, 'The recovery param is more than two bits'); + signature = new Signature(signature, enc); + + var n = this.n; + var e = new BN(msg); + var r = signature.r; + var s = signature.s; + + // A set LSB signifies that the y-coordinate is odd + var isYOdd = j & 1; + var isSecondKey = j >> 1; + if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey) + throw new Error('Unable to find sencond key candinate'); + + // 1.1. Let x = r + jn. + if (isSecondKey) + r = this.curve.pointFromX(r.add(this.curve.n), isYOdd); + else + r = this.curve.pointFromX(r, isYOdd); + + var rInv = signature.r.invm(n); + var s1 = n.sub(e).mul(rInv).umod(n); + var s2 = s.mul(rInv).umod(n); + + // 1.6.1 Compute Q = r^-1 (sR - eG) + // Q = r^-1 (sR + -eG) + return this.g.mulAdd(s1, r, s2); +}; + +EC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) { + signature = new Signature(signature, enc); + if (signature.recoveryParam !== null) + return signature.recoveryParam; + + for (var i = 0; i < 4; i++) { + var Qprime; + try { + Qprime = this.recoverPubKey(e, signature, i); + } catch (e) { + continue; + } + + if (Qprime.eq(Q)) + return i; + } + throw new Error('Unable to find valid recovery factor'); +}; + +},{"../../elliptic":1,"./key":9,"./signature":10,"bn.js":16,"hmac-drbg":25}],9:[function(require,module,exports){ +'use strict'; + +var BN = require('bn.js'); +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; + +function KeyPair(ec, options) { + this.ec = ec; + this.priv = null; + this.pub = null; + + // KeyPair(ec, { priv: ..., pub: ... }) + if (options.priv) + this._importPrivate(options.priv, options.privEnc); + if (options.pub) + this._importPublic(options.pub, options.pubEnc); +} +module.exports = KeyPair; + +KeyPair.fromPublic = function fromPublic(ec, pub, enc) { + if (pub instanceof KeyPair) + return pub; + + return new KeyPair(ec, { + pub: pub, + pubEnc: enc + }); +}; + +KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { + if (priv instanceof KeyPair) + return priv; + + return new KeyPair(ec, { + priv: priv, + privEnc: enc + }); +}; + +KeyPair.prototype.validate = function validate() { + var pub = this.getPublic(); + + if (pub.isInfinity()) + return { result: false, reason: 'Invalid public key' }; + if (!pub.validate()) + return { result: false, reason: 'Public key is not a point' }; + if (!pub.mul(this.ec.curve.n).isInfinity()) + return { result: false, reason: 'Public key * N != O' }; + + return { result: true, reason: null }; +}; + +KeyPair.prototype.getPublic = function getPublic(compact, enc) { + // compact is optional argument + if (typeof compact === 'string') { + enc = compact; + compact = null; + } + + if (!this.pub) + this.pub = this.ec.g.mul(this.priv); + + if (!enc) + return this.pub; + + return this.pub.encode(enc, compact); +}; + +KeyPair.prototype.getPrivate = function getPrivate(enc) { + if (enc === 'hex') + return this.priv.toString(16, 2); + else + return this.priv; +}; + +KeyPair.prototype._importPrivate = function _importPrivate(key, enc) { + this.priv = new BN(key, enc || 16); + + // Ensure that the priv won't be bigger than n, otherwise we may fail + // in fixed multiplication method + this.priv = this.priv.umod(this.ec.curve.n); +}; + +KeyPair.prototype._importPublic = function _importPublic(key, enc) { + if (key.x || key.y) { + // Montgomery points only have an `x` coordinate. + // Weierstrass/Edwards points on the other hand have both `x` and + // `y` coordinates. + if (this.ec.curve.type === 'mont') { + assert(key.x, 'Need x coordinate'); + } else if (this.ec.curve.type === 'short' || + this.ec.curve.type === 'edwards') { + assert(key.x && key.y, 'Need both x and y coordinate'); + } + this.pub = this.ec.curve.point(key.x, key.y); + return; + } + this.pub = this.ec.curve.decodePoint(key, enc); +}; + +// ECDH +KeyPair.prototype.derive = function derive(pub) { + return pub.mul(this.priv).getX(); +}; + +// ECDSA +KeyPair.prototype.sign = function sign(msg, enc, options) { + return this.ec.sign(msg, this, enc, options); +}; + +KeyPair.prototype.verify = function verify(msg, signature) { + return this.ec.verify(msg, signature, this); +}; + +KeyPair.prototype.inspect = function inspect() { + return ''; +}; + +},{"../../elliptic":1,"bn.js":16}],10:[function(require,module,exports){ +'use strict'; + +var BN = require('bn.js'); + +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; + +function Signature(options, enc) { + if (options instanceof Signature) + return options; + + if (this._importDER(options, enc)) + return; + + assert(options.r && options.s, 'Signature without r or s'); + this.r = new BN(options.r, 16); + this.s = new BN(options.s, 16); + if (options.recoveryParam === undefined) + this.recoveryParam = null; + else + this.recoveryParam = options.recoveryParam; +} +module.exports = Signature; + +function Position() { + this.place = 0; +} + +function getLength(buf, p) { + var initial = buf[p.place++]; + if (!(initial & 0x80)) { + return initial; + } + var octetLen = initial & 0xf; + var val = 0; + for (var i = 0, off = p.place; i < octetLen; i++, off++) { + val <<= 8; + val |= buf[off]; + } + p.place = off; + return val; +} + +function rmPadding(buf) { + var i = 0; + var len = buf.length - 1; + while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) { + i++; + } + if (i === 0) { + return buf; + } + return buf.slice(i); +} + +Signature.prototype._importDER = function _importDER(data, enc) { + data = utils.toArray(data, enc); + var p = new Position(); + if (data[p.place++] !== 0x30) { + return false; + } + var len = getLength(data, p); + if ((len + p.place) !== data.length) { + return false; + } + if (data[p.place++] !== 0x02) { + return false; + } + var rlen = getLength(data, p); + var r = data.slice(p.place, rlen + p.place); + p.place += rlen; + if (data[p.place++] !== 0x02) { + return false; + } + var slen = getLength(data, p); + if (data.length !== slen + p.place) { + return false; + } + var s = data.slice(p.place, slen + p.place); + if (r[0] === 0 && (r[1] & 0x80)) { + r = r.slice(1); + } + if (s[0] === 0 && (s[1] & 0x80)) { + s = s.slice(1); + } + + this.r = new BN(r); + this.s = new BN(s); + this.recoveryParam = null; + + return true; +}; + +function constructLength(arr, len) { + if (len < 0x80) { + arr.push(len); + return; + } + var octets = 1 + (Math.log(len) / Math.LN2 >>> 3); + arr.push(octets | 0x80); + while (--octets) { + arr.push((len >>> (octets << 3)) & 0xff); + } + arr.push(len); +} + +Signature.prototype.toDER = function toDER(enc) { + var r = this.r.toArray(); + var s = this.s.toArray(); + + // Pad values + if (r[0] & 0x80) + r = [ 0 ].concat(r); + // Pad values + if (s[0] & 0x80) + s = [ 0 ].concat(s); + + r = rmPadding(r); + s = rmPadding(s); + + while (!s[0] && !(s[1] & 0x80)) { + s = s.slice(1); + } + var arr = [ 0x02 ]; + constructLength(arr, r.length); + arr = arr.concat(r); + arr.push(0x02); + constructLength(arr, s.length); + var backHalf = arr.concat(s); + var res = [ 0x30 ]; + constructLength(res, backHalf.length); + res = res.concat(backHalf); + return utils.encode(res, enc); +}; + +},{"../../elliptic":1,"bn.js":16}],11:[function(require,module,exports){ +'use strict'; + +var hash = require('hash.js'); +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; +var parseBytes = utils.parseBytes; +var KeyPair = require('./key'); +var Signature = require('./signature'); + +function EDDSA(curve) { + assert(curve === 'ed25519', 'only tested with ed25519 so far'); + + if (!(this instanceof EDDSA)) + return new EDDSA(curve); + + var curve = elliptic.curves[curve].curve; + this.curve = curve; + this.g = curve.g; + this.g.precompute(curve.n.bitLength() + 1); + + this.pointClass = curve.point().constructor; + this.encodingLength = Math.ceil(curve.n.bitLength() / 8); + this.hash = hash.sha512; +} + +module.exports = EDDSA; + +/** +* @param {Array|String} message - message bytes +* @param {Array|String|KeyPair} secret - secret bytes or a keypair +* @returns {Signature} - signature +*/ +EDDSA.prototype.sign = function sign(message, secret) { + message = parseBytes(message); + var key = this.keyFromSecret(secret); + var r = this.hashInt(key.messagePrefix(), message); + var R = this.g.mul(r); + var Rencoded = this.encodePoint(R); + var s_ = this.hashInt(Rencoded, key.pubBytes(), message) + .mul(key.priv()); + var S = r.add(s_).umod(this.curve.n); + return this.makeSignature({ R: R, S: S, Rencoded: Rencoded }); +}; + +/** +* @param {Array} message - message bytes +* @param {Array|String|Signature} sig - sig bytes +* @param {Array|String|Point|KeyPair} pub - public key +* @returns {Boolean} - true if public key matches sig of message +*/ +EDDSA.prototype.verify = function verify(message, sig, pub) { + message = parseBytes(message); + sig = this.makeSignature(sig); + var key = this.keyFromPublic(pub); + var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message); + var SG = this.g.mul(sig.S()); + var RplusAh = sig.R().add(key.pub().mul(h)); + return RplusAh.eq(SG); +}; + +EDDSA.prototype.hashInt = function hashInt() { + var hash = this.hash(); + for (var i = 0; i < arguments.length; i++) + hash.update(arguments[i]); + return utils.intFromLE(hash.digest()).umod(this.curve.n); +}; + +EDDSA.prototype.keyFromPublic = function keyFromPublic(pub) { + return KeyPair.fromPublic(this, pub); +}; + +EDDSA.prototype.keyFromSecret = function keyFromSecret(secret) { + return KeyPair.fromSecret(this, secret); +}; + +EDDSA.prototype.makeSignature = function makeSignature(sig) { + if (sig instanceof Signature) + return sig; + return new Signature(this, sig); +}; + +/** +* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2 +* +* EDDSA defines methods for encoding and decoding points and integers. These are +* helper convenience methods, that pass along to utility functions implied +* parameters. +* +*/ +EDDSA.prototype.encodePoint = function encodePoint(point) { + var enc = point.getY().toArray('le', this.encodingLength); + enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0; + return enc; +}; + +EDDSA.prototype.decodePoint = function decodePoint(bytes) { + bytes = utils.parseBytes(bytes); + + var lastIx = bytes.length - 1; + var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80); + var xIsOdd = (bytes[lastIx] & 0x80) !== 0; + + var y = utils.intFromLE(normed); + return this.curve.pointFromY(y, xIsOdd); +}; + +EDDSA.prototype.encodeInt = function encodeInt(num) { + return num.toArray('le', this.encodingLength); +}; + +EDDSA.prototype.decodeInt = function decodeInt(bytes) { + return utils.intFromLE(bytes); +}; + +EDDSA.prototype.isPoint = function isPoint(val) { + return val instanceof this.pointClass; +}; + +},{"../../elliptic":1,"./key":12,"./signature":13,"hash.js":19}],12:[function(require,module,exports){ +'use strict'; + +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; +var parseBytes = utils.parseBytes; +var cachedProperty = utils.cachedProperty; + +/** +* @param {EDDSA} eddsa - instance +* @param {Object} params - public/private key parameters +* +* @param {Array} [params.secret] - secret seed bytes +* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms) +* @param {Array} [params.pub] - public key point encoded as bytes +* +*/ +function KeyPair(eddsa, params) { + this.eddsa = eddsa; + this._secret = parseBytes(params.secret); + if (eddsa.isPoint(params.pub)) + this._pub = params.pub; + else + this._pubBytes = parseBytes(params.pub); +} + +KeyPair.fromPublic = function fromPublic(eddsa, pub) { + if (pub instanceof KeyPair) + return pub; + return new KeyPair(eddsa, { pub: pub }); +}; + +KeyPair.fromSecret = function fromSecret(eddsa, secret) { + if (secret instanceof KeyPair) + return secret; + return new KeyPair(eddsa, { secret: secret }); +}; + +KeyPair.prototype.secret = function secret() { + return this._secret; +}; + +cachedProperty(KeyPair, 'pubBytes', function pubBytes() { + return this.eddsa.encodePoint(this.pub()); +}); + +cachedProperty(KeyPair, 'pub', function pub() { + if (this._pubBytes) + return this.eddsa.decodePoint(this._pubBytes); + return this.eddsa.g.mul(this.priv()); +}); + +cachedProperty(KeyPair, 'privBytes', function privBytes() { + var eddsa = this.eddsa; + var hash = this.hash(); + var lastIx = eddsa.encodingLength - 1; + + var a = hash.slice(0, eddsa.encodingLength); + a[0] &= 248; + a[lastIx] &= 127; + a[lastIx] |= 64; + + return a; +}); + +cachedProperty(KeyPair, 'priv', function priv() { + return this.eddsa.decodeInt(this.privBytes()); +}); + +cachedProperty(KeyPair, 'hash', function hash() { + return this.eddsa.hash().update(this.secret()).digest(); +}); + +cachedProperty(KeyPair, 'messagePrefix', function messagePrefix() { + return this.hash().slice(this.eddsa.encodingLength); +}); + +KeyPair.prototype.sign = function sign(message) { + assert(this._secret, 'KeyPair can only verify'); + return this.eddsa.sign(message, this); +}; + +KeyPair.prototype.verify = function verify(message, sig) { + return this.eddsa.verify(message, sig, this); +}; + +KeyPair.prototype.getSecret = function getSecret(enc) { + assert(this._secret, 'KeyPair is public only'); + return utils.encode(this.secret(), enc); +}; + +KeyPair.prototype.getPublic = function getPublic(enc) { + return utils.encode(this.pubBytes(), enc); +}; + +module.exports = KeyPair; + +},{"../../elliptic":1}],13:[function(require,module,exports){ +'use strict'; + +var BN = require('bn.js'); +var elliptic = require('../../elliptic'); +var utils = elliptic.utils; +var assert = utils.assert; +var cachedProperty = utils.cachedProperty; +var parseBytes = utils.parseBytes; + +/** +* @param {EDDSA} eddsa - eddsa instance +* @param {Array|Object} sig - +* @param {Array|Point} [sig.R] - R point as Point or bytes +* @param {Array|bn} [sig.S] - S scalar as bn or bytes +* @param {Array} [sig.Rencoded] - R point encoded +* @param {Array} [sig.Sencoded] - S scalar encoded +*/ +function Signature(eddsa, sig) { + this.eddsa = eddsa; + + if (typeof sig !== 'object') + sig = parseBytes(sig); + + if (Array.isArray(sig)) { + sig = { + R: sig.slice(0, eddsa.encodingLength), + S: sig.slice(eddsa.encodingLength) + }; + } + + assert(sig.R && sig.S, 'Signature without R or S'); + + if (eddsa.isPoint(sig.R)) + this._R = sig.R; + if (sig.S instanceof BN) + this._S = sig.S; + + this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded; + this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded; +} + +cachedProperty(Signature, 'S', function S() { + return this.eddsa.decodeInt(this.Sencoded()); +}); + +cachedProperty(Signature, 'R', function R() { + return this.eddsa.decodePoint(this.Rencoded()); +}); + +cachedProperty(Signature, 'Rencoded', function Rencoded() { + return this.eddsa.encodePoint(this.R()); +}); + +cachedProperty(Signature, 'Sencoded', function Sencoded() { + return this.eddsa.encodeInt(this.S()); +}); + +Signature.prototype.toBytes = function toBytes() { + return this.Rencoded().concat(this.Sencoded()); +}; + +Signature.prototype.toHex = function toHex() { + return utils.encode(this.toBytes(), 'hex').toUpperCase(); +}; + +module.exports = Signature; + +},{"../../elliptic":1,"bn.js":16}],14:[function(require,module,exports){ +module.exports = { + doubles: { + step: 4, + points: [ + [ + 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a', + 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821' + ], + [ + '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508', + '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf' + ], + [ + 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(k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1; + for (var i = 1; i < shift; i++) + naf.push(0); + k.iushrn(shift); + } + + return naf; +} +utils.getNAF = getNAF; + +// Represent k1, k2 in a Joint Sparse Form +function getJSF(k1, k2) { + var jsf = [ + [], + [] + ]; + + k1 = k1.clone(); + k2 = k2.clone(); + var d1 = 0; + var d2 = 0; + while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) { + + // First phase + var m14 = (k1.andln(3) + d1) & 3; + var m24 = (k2.andln(3) + d2) & 3; + if (m14 === 3) + m14 = -1; + if (m24 === 3) + m24 = -1; + var u1; + if ((m14 & 1) === 0) { + u1 = 0; + } else { + var m8 = (k1.andln(7) + d1) & 7; + if ((m8 === 3 || m8 === 5) && m24 === 2) + u1 = -m14; + else + u1 = m14; + } + jsf[0].push(u1); + + var u2; + if ((m24 & 1) === 0) { + u2 = 0; + } else { + var m8 = (k2.andln(7) + d2) & 7; + if ((m8 === 3 || m8 === 5) && m14 === 2) + u2 = -m24; + else + u2 = m24; + } + jsf[1].push(u2); + + // Second phase + if (2 * d1 === u1 + 1) + d1 = 1 - d1; + if (2 * d2 === u2 + 1) + d2 = 1 - d2; + k1.iushrn(1); + k2.iushrn(1); + } + + return jsf; +} +utils.getJSF = getJSF; + +function cachedProperty(obj, name, computer) { + var key = '_' + name; + obj.prototype[name] = function cachedProperty() { + return this[key] !== undefined ? this[key] : + this[key] = computer.call(this); + }; +} +utils.cachedProperty = cachedProperty; + +function parseBytes(bytes) { + return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : + bytes; +} +utils.parseBytes = parseBytes; + +function intFromLE(bytes) { + return new BN(bytes, 'hex', 'le'); +} +utils.intFromLE = intFromLE; + + +},{"bn.js":16,"minimalistic-assert":28,"minimalistic-crypto-utils":29}],16:[function(require,module,exports){ +(function (module, exports) { + 'use strict'; + + // Utils + function assert (val, msg) { + if (!val) throw new Error(msg || 'Assertion failed'); + } + + // Could use `inherits` module, but don't want to move from single file + // architecture yet. + function inherits (ctor, superCtor) { + ctor.super_ = superCtor; + var TempCtor = function () {}; + TempCtor.prototype = superCtor.prototype; + ctor.prototype = new TempCtor(); + ctor.prototype.constructor = ctor; + } + + // BN + + function BN (number, base, endian) { + if (BN.isBN(number)) { + return number; + } + + this.negative = 0; + this.words = null; + this.length = 0; + + // Reduction context + this.red = null; + + if (number !== null) { + if (base === 'le' || base === 'be') { + endian = base; + base = 10; + } + + this._init(number || 0, base || 10, endian || 'be'); + } + } + if (typeof module === 'object') { + module.exports = BN; + } else { + exports.BN = BN; + } + + BN.BN = BN; + BN.wordSize = 26; + + var Buffer; + try { + Buffer = require('buf' + 'fer').Buffer; + } catch (e) { + } + + BN.isBN = function isBN (num) { + if (num instanceof BN) { + return true; + } + + return num !== null && typeof num === 'object' && + num.constructor.wordSize === BN.wordSize && Array.isArray(num.words); + }; + + BN.max = function max (left, right) { + if (left.cmp(right) > 0) return left; + return right; + }; + + BN.min = function min (left, right) { + if (left.cmp(right) < 0) return left; + return right; + }; + + BN.prototype._init = function init (number, base, endian) { + if (typeof number === 'number') { + return this._initNumber(number, base, endian); + } + + if (typeof number === 'object') { + return this._initArray(number, base, endian); + } + + if (base === 'hex') { + base = 16; + } + assert(base === (base | 0) && base >= 2 && base <= 36); + + number = number.toString().replace(/\s+/g, ''); + var start = 0; + if (number[0] === '-') { + start++; + } + + if (base === 16) { + this._parseHex(number, start); + } else { + this._parseBase(number, base, start); + } + + if (number[0] === '-') { + this.negative = 1; + } + + this.strip(); + + if (endian !== 'le') return; + + this._initArray(this.toArray(), base, endian); + }; + + BN.prototype._initNumber = function _initNumber (number, base, endian) { + if (number < 0) { + this.negative = 1; + number = -number; + } + if (number < 0x4000000) { + this.words = [ number & 0x3ffffff ]; + this.length = 1; + } else if (number < 0x10000000000000) { + this.words = [ + number & 0x3ffffff, + (number / 0x4000000) & 0x3ffffff + ]; + this.length = 2; + } else { + assert(number < 0x20000000000000); // 2 ^ 53 (unsafe) + this.words = [ + number & 0x3ffffff, + (number / 0x4000000) & 0x3ffffff, + 1 + ]; + this.length = 3; + } + + if (endian !== 'le') return; + + // Reverse the bytes + this._initArray(this.toArray(), base, endian); + }; + + BN.prototype._initArray = function _initArray (number, base, endian) { + // Perhaps a Uint8Array + assert(typeof number.length === 'number'); + if (number.length <= 0) { + this.words = [ 0 ]; + this.length = 1; + return this; + } + + this.length = Math.ceil(number.length / 3); + this.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + this.words[i] = 0; + } + + var j, w; + var off = 0; + if (endian === 'be') { + for (i = number.length - 1, j = 0; i >= 0; i -= 3) { + w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + } else if (endian === 'le') { + for (i = 0, j = 0; i < number.length; i += 3) { + w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + } + return this.strip(); + }; + + function parseHex (str, start, end) { + var r = 0; + var len = Math.min(str.length, end); + for (var i = start; i < len; i++) { + var c = str.charCodeAt(i) - 48; + + r <<= 4; + + // 'a' - 'f' + if (c >= 49 && c <= 54) { + r |= c - 49 + 0xa; + + // 'A' - 'F' + } else if (c >= 17 && c <= 22) { + r |= c - 17 + 0xa; + + // '0' - '9' + } else { + r |= c & 0xf; + } + } + return r; + } + + BN.prototype._parseHex = function _parseHex (number, start) { + // Create possibly bigger array to ensure that it fits the number + this.length = Math.ceil((number.length - start) / 6); + this.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + this.words[i] = 0; + } + + var j, w; + // Scan 24-bit chunks and add them to the number + var off = 0; + for (i = number.length - 6, j = 0; i >= start; i -= 6) { + w = parseHex(number, i, i + 6); + this.words[j] |= (w << off) & 0x3ffffff; + // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb + this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; + off += 24; + if (off >= 26) { + off -= 26; + j++; + } + } + if (i + 6 !== start) { + w = parseHex(number, start, i + 6); + this.words[j] |= (w << off) & 0x3ffffff; + this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; + } + this.strip(); + }; + + function parseBase (str, start, end, mul) { + var r = 0; + var len = Math.min(str.length, end); + for (var i = start; i < len; i++) { + var c = str.charCodeAt(i) - 48; + + r *= mul; + + // 'a' + if (c >= 49) { + r += c - 49 + 0xa; + + // 'A' + } else if (c >= 17) { + r += c - 17 + 0xa; + + // '0' - '9' + } else { + r += c; + } + } + return r; + } + + BN.prototype._parseBase = function _parseBase (number, base, start) { + // Initialize as zero + this.words = [ 0 ]; + this.length = 1; + + // Find length of limb in base + for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) { + limbLen++; + } + limbLen--; + limbPow = (limbPow / base) | 0; + + var total = number.length - start; + var mod = total % limbLen; + var end = Math.min(total, total - mod) + start; + + var word = 0; + for (var i = start; i < end; i += limbLen) { + word = parseBase(number, i, i + limbLen, base); + + this.imuln(limbPow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } + } + + if (mod !== 0) { + var pow = 1; + word = parseBase(number, i, number.length, base); + + for (i = 0; i < mod; i++) { + pow *= base; + } + + this.imuln(pow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } + } + }; + + BN.prototype.copy = function copy (dest) { + dest.words = new Array(this.length); + for (var i = 0; i < this.length; i++) { + dest.words[i] = this.words[i]; + } + dest.length = this.length; + dest.negative = this.negative; + dest.red = this.red; + }; + + BN.prototype.clone = function clone () { + var r = new BN(null); + this.copy(r); + return r; + }; + + BN.prototype._expand = function _expand (size) { + while (this.length < size) { + this.words[this.length++] = 0; + } + return this; + }; + + // Remove leading `0` from `this` + BN.prototype.strip = function strip () { + while (this.length > 1 && this.words[this.length - 1] === 0) { + this.length--; + } + return this._normSign(); + }; + + BN.prototype._normSign = function _normSign () { + // -0 = 0 + if (this.length === 1 && this.words[0] === 0) { + this.negative = 0; + } + return this; + }; + + BN.prototype.inspect = function inspect () { + return (this.red ? ''; + }; + + /* + + var zeros = []; + var groupSizes = []; + var groupBases = []; + + var s = ''; + var i = -1; + while (++i < BN.wordSize) { + zeros[i] = s; + s += '0'; + } + groupSizes[0] = 0; + groupSizes[1] = 0; + groupBases[0] = 0; + groupBases[1] = 0; + var base = 2 - 1; + while (++base < 36 + 1) { + var groupSize = 0; + var groupBase = 1; + while (groupBase < (1 << BN.wordSize) / base) { + groupBase *= base; + groupSize += 1; + } + groupSizes[base] = groupSize; + groupBases[base] = groupBase; + } + + */ + + var zeros = [ + '', + '0', + '00', + '000', + '0000', + '00000', + '000000', + '0000000', + '00000000', + '000000000', + '0000000000', + '00000000000', + '000000000000', + '0000000000000', + '00000000000000', + '000000000000000', + '0000000000000000', + '00000000000000000', + '000000000000000000', + '0000000000000000000', + '00000000000000000000', + '000000000000000000000', + '0000000000000000000000', + '00000000000000000000000', + '000000000000000000000000', + '0000000000000000000000000' + ]; + + var groupSizes = [ + 0, 0, + 25, 16, 12, 11, 10, 9, 8, + 8, 7, 7, 7, 7, 6, 6, + 6, 6, 6, 6, 6, 5, 5, + 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5 + ]; + + var groupBases = [ + 0, 0, + 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216, + 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625, + 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632, + 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149, + 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176 + ]; + + BN.prototype.toString = function toString (base, padding) { + base = base || 10; + padding = padding | 0 || 1; + + var out; + if (base === 16 || base === 'hex') { + out = ''; + var off = 0; + var carry = 0; + for (var i = 0; i < this.length; i++) { + var w = this.words[i]; + var word = (((w << off) | carry) & 0xffffff).toString(16); + carry = (w >>> (24 - off)) & 0xffffff; + if (carry !== 0 || i !== this.length - 1) { + out = zeros[6 - word.length] + word + out; + } else { + out = word + out; + } + off += 2; + if (off >= 26) { + off -= 26; + i--; + } + } + if (carry !== 0) { + out = carry.toString(16) + out; + } + while (out.length % padding !== 0) { + out = '0' + out; + } + if (this.negative !== 0) { + out = '-' + out; + } + return out; + } + + if (base === (base | 0) && base >= 2 && base <= 36) { + // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base)); + var groupSize = groupSizes[base]; + // var groupBase = Math.pow(base, groupSize); + var groupBase = groupBases[base]; + out = ''; + var c = this.clone(); + c.negative = 0; + while (!c.isZero()) { + var r = c.modn(groupBase).toString(base); + c = c.idivn(groupBase); + + if (!c.isZero()) { + out = zeros[groupSize - r.length] + r + out; + } else { + out = r + out; + } + } + if (this.isZero()) { + out = '0' + out; + } + while (out.length % padding !== 0) { + out = '0' + out; + } + if (this.negative !== 0) { + out = '-' + out; + } + return out; + } + + assert(false, 'Base should be between 2 and 36'); + }; + + BN.prototype.toNumber = function toNumber () { + var ret = this.words[0]; + if (this.length === 2) { + ret += this.words[1] * 0x4000000; + } else if (this.length === 3 && this.words[2] === 0x01) { + // NOTE: at this stage it is known that the top bit is set + ret += 0x10000000000000 + (this.words[1] * 0x4000000); + } else if (this.length > 2) { + assert(false, 'Number can only safely store up to 53 bits'); + } + return (this.negative !== 0) ? -ret : ret; + }; + + BN.prototype.toJSON = function toJSON () { + return this.toString(16); + }; + + BN.prototype.toBuffer = function toBuffer (endian, length) { + assert(typeof Buffer !== 'undefined'); + return this.toArrayLike(Buffer, endian, length); + }; + + BN.prototype.toArray = function toArray (endian, length) { + return this.toArrayLike(Array, endian, length); + }; + + BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) { + var byteLength = this.byteLength(); + var reqLength = length || Math.max(1, byteLength); + assert(byteLength <= reqLength, 'byte array longer than desired length'); + assert(reqLength > 0, 'Requested array length <= 0'); + + this.strip(); + var littleEndian = endian === 'le'; + var res = new ArrayType(reqLength); + + var b, i; + var q = this.clone(); + if (!littleEndian) { + // Assume big-endian + for (i = 0; i < reqLength - byteLength; i++) { + res[i] = 0; + } + + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); + + res[reqLength - i - 1] = b; + } + } else { + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); + + res[i] = b; + } + + for (; i < reqLength; i++) { + res[i] = 0; + } + } + + return res; + }; + + if (Math.clz32) { + BN.prototype._countBits = function _countBits (w) { + return 32 - Math.clz32(w); + }; + } else { + BN.prototype._countBits = function _countBits (w) { + var t = w; + var r = 0; + if (t >= 0x1000) { + r += 13; + t >>>= 13; + } + if (t >= 0x40) { + r += 7; + t >>>= 7; + } + if (t >= 0x8) { + r += 4; + t >>>= 4; + } + if (t >= 0x02) { + r += 2; + t >>>= 2; + } + return r + t; + }; + } + + BN.prototype._zeroBits = function _zeroBits (w) { + // Short-cut + if (w === 0) return 26; + + var t = w; + var r = 0; + if ((t & 0x1fff) === 0) { + r += 13; + t >>>= 13; + } + if ((t & 0x7f) === 0) { + r += 7; + t >>>= 7; + } + if ((t & 0xf) === 0) { + r += 4; + t >>>= 4; + } + if ((t & 0x3) === 0) { + r += 2; + t >>>= 2; + } + if ((t & 0x1) === 0) { + r++; + } + return r; + }; + + // Return number of used bits in a BN + BN.prototype.bitLength = function bitLength () { + var w = this.words[this.length - 1]; + var hi = this._countBits(w); + return (this.length - 1) * 26 + hi; + }; + + function toBitArray (num) { + var w = new Array(num.bitLength()); + + for (var bit = 0; bit < w.length; bit++) { + var off = (bit / 26) | 0; + var wbit = bit % 26; + + w[bit] = (num.words[off] & (1 << wbit)) >>> wbit; + } + + return w; + } + + // Number of trailing zero bits + BN.prototype.zeroBits = function zeroBits () { + if (this.isZero()) return 0; + + var r = 0; + for (var i = 0; i < this.length; i++) { + var b = this._zeroBits(this.words[i]); + r += b; + if (b !== 26) break; + } + return r; + }; + + BN.prototype.byteLength = function byteLength () { + return Math.ceil(this.bitLength() / 8); + }; + + BN.prototype.toTwos = function toTwos (width) { + if (this.negative !== 0) { + return this.abs().inotn(width).iaddn(1); + } + return this.clone(); + }; + + BN.prototype.fromTwos = function fromTwos (width) { + if (this.testn(width - 1)) { + return this.notn(width).iaddn(1).ineg(); + } + return this.clone(); + }; + + BN.prototype.isNeg = function isNeg () { + return this.negative !== 0; + }; + + // Return negative clone of `this` + BN.prototype.neg = function neg () { + return this.clone().ineg(); + }; + + BN.prototype.ineg = function ineg () { + if (!this.isZero()) { + this.negative ^= 1; + } + + return this; + }; + + // Or `num` with `this` in-place + BN.prototype.iuor = function iuor (num) { + while (this.length < num.length) { + this.words[this.length++] = 0; + } + + for (var i = 0; i < num.length; i++) { + this.words[i] = this.words[i] | num.words[i]; + } + + return this.strip(); + }; + + BN.prototype.ior = function ior (num) { + assert((this.negative | num.negative) === 0); + return this.iuor(num); + }; + + // Or `num` with `this` + BN.prototype.or = function or (num) { + if (this.length > num.length) return this.clone().ior(num); + return num.clone().ior(this); + }; + + BN.prototype.uor = function uor (num) { + if (this.length > num.length) return this.clone().iuor(num); + return num.clone().iuor(this); + }; + + // And `num` with `this` in-place + BN.prototype.iuand = function iuand (num) { + // b = min-length(num, this) + var b; + if (this.length > num.length) { + b = num; + } else { + b = this; + } + + for (var i = 0; i < b.length; i++) { + this.words[i] = this.words[i] & num.words[i]; + } + + this.length = b.length; + + return this.strip(); + }; + + BN.prototype.iand = function iand (num) { + assert((this.negative | num.negative) === 0); + return this.iuand(num); + }; + + // And `num` with `this` + BN.prototype.and = function and (num) { + if (this.length > num.length) return this.clone().iand(num); + return num.clone().iand(this); + }; + + BN.prototype.uand = function uand (num) { + if (this.length > num.length) return this.clone().iuand(num); + return num.clone().iuand(this); + }; + + // Xor `num` with `this` in-place + BN.prototype.iuxor = function iuxor (num) { + // a.length > b.length + var a; + var b; + if (this.length > num.length) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + for (var i = 0; i < b.length; i++) { + this.words[i] = a.words[i] ^ b.words[i]; + } + + if (this !== a) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + this.length = a.length; + + return this.strip(); + }; + + BN.prototype.ixor = function ixor (num) { + assert((this.negative | num.negative) === 0); + return this.iuxor(num); + }; + + // Xor `num` with `this` + BN.prototype.xor = function xor (num) { + if (this.length > num.length) return this.clone().ixor(num); + return num.clone().ixor(this); + }; + + BN.prototype.uxor = function uxor (num) { + if (this.length > num.length) return this.clone().iuxor(num); + return num.clone().iuxor(this); + }; + + // Not ``this`` with ``width`` bitwidth + BN.prototype.inotn = function inotn (width) { + assert(typeof width === 'number' && width >= 0); + + var bytesNeeded = Math.ceil(width / 26) | 0; + var bitsLeft = width % 26; + + // Extend the buffer with leading zeroes + this._expand(bytesNeeded); + + if (bitsLeft > 0) { + bytesNeeded--; + } + + // Handle complete words + for (var i = 0; i < bytesNeeded; i++) { + this.words[i] = ~this.words[i] & 0x3ffffff; + } + + // Handle the residue + if (bitsLeft > 0) { + this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); + } + + // And remove leading zeroes + return this.strip(); + }; + + BN.prototype.notn = function notn (width) { + return this.clone().inotn(width); + }; + + // Set `bit` of `this` + BN.prototype.setn = function setn (bit, val) { + assert(typeof bit === 'number' && bit >= 0); + + var off = (bit / 26) | 0; + var wbit = bit % 26; + + this._expand(off + 1); + + if (val) { + this.words[off] = this.words[off] | (1 << wbit); + } else { + this.words[off] = this.words[off] & ~(1 << wbit); + } + + return this.strip(); + }; + + // Add `num` to `this` in-place + BN.prototype.iadd = function iadd (num) { + var r; + + // negative + positive + if (this.negative !== 0 && num.negative === 0) { + this.negative = 0; + r = this.isub(num); + this.negative ^= 1; + return this._normSign(); + + // positive + negative + } else if (this.negative === 0 && num.negative !== 0) { + num.negative = 0; + r = this.isub(num); + num.negative = 1; + return r._normSign(); + } + + // a.length > b.length + var a, b; + if (this.length > num.length) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + var carry = 0; + for (var i = 0; i < b.length; i++) { + r = (a.words[i] | 0) + (b.words[i] | 0) + carry; + this.words[i] = r & 0x3ffffff; + carry = r >>> 26; + } + for (; carry !== 0 && i < a.length; i++) { + r = (a.words[i] | 0) + carry; + this.words[i] = r & 0x3ffffff; + carry = r >>> 26; + } + + this.length = a.length; + if (carry !== 0) { + this.words[this.length] = carry; + this.length++; + // Copy the rest of the words + } else if (a !== this) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + return this; + }; + + // Add `num` to `this` + BN.prototype.add = function add (num) { + var res; + if (num.negative !== 0 && this.negative === 0) { + num.negative = 0; + res = this.sub(num); + num.negative ^= 1; + return res; + } else if (num.negative === 0 && this.negative !== 0) { + this.negative = 0; + res = num.sub(this); + this.negative = 1; + return res; + } + + if (this.length > num.length) return this.clone().iadd(num); + + return num.clone().iadd(this); + }; + + // Subtract `num` from `this` in-place + BN.prototype.isub = function isub (num) { + // this - (-num) = this + num + if (num.negative !== 0) { + num.negative = 0; + var r = this.iadd(num); + num.negative = 1; + return r._normSign(); + + // -this - num = -(this + num) + } else if (this.negative !== 0) { + this.negative = 0; + this.iadd(num); + this.negative = 1; + return this._normSign(); + } + + // At this point both numbers are positive + var cmp = this.cmp(num); + + // Optimization - zeroify + if (cmp === 0) { + this.negative = 0; + this.length = 1; + this.words[0] = 0; + return this; + } + + // a > b + var a, b; + if (cmp > 0) { + a = this; + b = num; + } else { + a = num; + b = this; + } + + var carry = 0; + for (var i = 0; i < b.length; i++) { + r = (a.words[i] | 0) - (b.words[i] | 0) + carry; + carry = r >> 26; + this.words[i] = r & 0x3ffffff; + } + for (; carry !== 0 && i < a.length; i++) { + r = (a.words[i] | 0) + carry; + carry = r >> 26; + this.words[i] = r & 0x3ffffff; + } + + // Copy rest of the words + if (carry === 0 && i < a.length && a !== this) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } + + this.length = Math.max(this.length, i); + + if (a !== this) { + this.negative = 1; + } + + return this.strip(); + }; + + // Subtract `num` from `this` + BN.prototype.sub = function sub (num) { + return this.clone().isub(num); + }; + + function smallMulTo (self, num, out) { + out.negative = num.negative ^ self.negative; + var len = (self.length + num.length) | 0; + out.length = len; + len = (len - 1) | 0; + + // Peel one iteration (compiler can't do it, because of code complexity) + var a = self.words[0] | 0; + var b = num.words[0] | 0; + var r = a * b; + + var lo = r & 0x3ffffff; + var carry = (r / 0x4000000) | 0; + out.words[0] = lo; + + for (var k = 1; k < len; k++) { + // Sum all words with the same `i + j = k` and accumulate `ncarry`, + // note that ncarry could be >= 0x3ffffff + var ncarry = carry >>> 26; + var rword = carry & 0x3ffffff; + var maxJ = Math.min(k, num.length - 1); + for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { + var i = (k - j) | 0; + a = self.words[i] | 0; + b = num.words[j] | 0; + r = a * b + rword; + ncarry += (r / 0x4000000) | 0; + rword = r & 0x3ffffff; + } + out.words[k] = rword | 0; + carry = ncarry | 0; + } + if (carry !== 0) { + out.words[k] = carry | 0; + } else { + out.length--; + } + + return out.strip(); + } + + // TODO(indutny): it may be reasonable to omit it for users who don't need + // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit + // multiplication (like elliptic secp256k1). + var comb10MulTo = function comb10MulTo (self, num, out) { + var a = self.words; + var b = num.words; + var o = out.words; + var c = 0; + var lo; + var mid; + var hi; + var a0 = a[0] | 0; + var al0 = a0 & 0x1fff; + var ah0 = a0 >>> 13; + var a1 = a[1] | 0; + var al1 = a1 & 0x1fff; + var ah1 = a1 >>> 13; + var a2 = a[2] | 0; + var al2 = a2 & 0x1fff; + var ah2 = a2 >>> 13; + var a3 = a[3] | 0; + var al3 = a3 & 0x1fff; + var ah3 = a3 >>> 13; + var a4 = a[4] | 0; + var al4 = a4 & 0x1fff; + var ah4 = a4 >>> 13; + var a5 = a[5] | 0; + var al5 = a5 & 0x1fff; + var ah5 = a5 >>> 13; + var a6 = a[6] | 0; + var al6 = a6 & 0x1fff; + var ah6 = a6 >>> 13; + var a7 = a[7] | 0; + var al7 = a7 & 0x1fff; + var ah7 = a7 >>> 13; + var a8 = a[8] | 0; + var al8 = a8 & 0x1fff; + var ah8 = a8 >>> 13; + var a9 = a[9] | 0; + var al9 = a9 & 0x1fff; + var ah9 = a9 >>> 13; + var b0 = b[0] | 0; + var bl0 = b0 & 0x1fff; + var bh0 = b0 >>> 13; + var b1 = b[1] | 0; + var bl1 = b1 & 0x1fff; + var bh1 = b1 >>> 13; + var b2 = b[2] | 0; + var bl2 = b2 & 0x1fff; + var bh2 = b2 >>> 13; + var b3 = b[3] | 0; + var bl3 = b3 & 0x1fff; + var bh3 = b3 >>> 13; + var b4 = b[4] | 0; + var bl4 = b4 & 0x1fff; + var bh4 = b4 >>> 13; + var b5 = b[5] | 0; + var bl5 = b5 & 0x1fff; + var bh5 = b5 >>> 13; + var b6 = b[6] | 0; + var bl6 = b6 & 0x1fff; + var bh6 = b6 >>> 13; + var b7 = b[7] | 0; + var bl7 = b7 & 0x1fff; + var bh7 = b7 >>> 13; + var b8 = b[8] | 0; + var bl8 = b8 & 0x1fff; + var bh8 = b8 >>> 13; + var b9 = b[9] | 0; + var bl9 = b9 & 0x1fff; + var bh9 = b9 >>> 13; + + out.negative = self.negative ^ num.negative; + out.length = 19; + /* k = 0 */ + lo = Math.imul(al0, bl0); + mid = Math.imul(al0, bh0); + mid = (mid + Math.imul(ah0, bl0)) | 0; + hi = Math.imul(ah0, bh0); + var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0; + w0 &= 0x3ffffff; + /* k = 1 */ + lo = Math.imul(al1, bl0); + mid = Math.imul(al1, bh0); + mid = (mid + Math.imul(ah1, bl0)) | 0; + hi = Math.imul(ah1, bh0); + lo = (lo + Math.imul(al0, bl1)) | 0; + mid = (mid + Math.imul(al0, bh1)) | 0; + mid = (mid + Math.imul(ah0, bl1)) | 0; + hi = (hi + Math.imul(ah0, bh1)) | 0; + var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0; + w1 &= 0x3ffffff; + /* k = 2 */ + lo = Math.imul(al2, bl0); + mid = Math.imul(al2, bh0); + mid = (mid + Math.imul(ah2, bl0)) | 0; + hi = Math.imul(ah2, bh0); + lo = (lo + Math.imul(al1, bl1)) | 0; + mid = (mid + Math.imul(al1, bh1)) | 0; + mid = (mid + Math.imul(ah1, bl1)) | 0; + hi = (hi + Math.imul(ah1, bh1)) | 0; + lo = (lo + Math.imul(al0, bl2)) | 0; + mid = (mid + Math.imul(al0, bh2)) | 0; + mid = (mid + Math.imul(ah0, bl2)) | 0; + hi = (hi + Math.imul(ah0, bh2)) | 0; + var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0; + w2 &= 0x3ffffff; + /* k = 3 */ + lo = Math.imul(al3, bl0); + mid = Math.imul(al3, bh0); + mid = (mid + Math.imul(ah3, bl0)) | 0; + hi = Math.imul(ah3, bh0); + lo = (lo + Math.imul(al2, bl1)) | 0; + mid = (mid + Math.imul(al2, bh1)) | 0; + mid = (mid + Math.imul(ah2, bl1)) | 0; + hi = (hi + Math.imul(ah2, bh1)) | 0; + lo = (lo + Math.imul(al1, bl2)) | 0; + mid = (mid + Math.imul(al1, bh2)) | 0; + mid = (mid + Math.imul(ah1, bl2)) | 0; + hi = (hi + Math.imul(ah1, bh2)) | 0; + lo = (lo + Math.imul(al0, bl3)) | 0; + mid = (mid + Math.imul(al0, bh3)) | 0; + mid = (mid + Math.imul(ah0, bl3)) | 0; + hi = (hi + Math.imul(ah0, bh3)) | 0; + var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0; + w3 &= 0x3ffffff; + /* k = 4 */ + lo = Math.imul(al4, bl0); + mid = Math.imul(al4, bh0); + mid = (mid + Math.imul(ah4, bl0)) | 0; + hi = Math.imul(ah4, bh0); + lo = (lo + Math.imul(al3, bl1)) | 0; + mid = (mid + Math.imul(al3, bh1)) | 0; + mid = (mid + Math.imul(ah3, bl1)) | 0; + hi = (hi + Math.imul(ah3, bh1)) | 0; + lo = (lo + Math.imul(al2, bl2)) | 0; + mid = (mid + Math.imul(al2, bh2)) | 0; + mid = (mid + Math.imul(ah2, bl2)) | 0; + hi = (hi + Math.imul(ah2, bh2)) | 0; + lo = (lo + Math.imul(al1, bl3)) | 0; + mid = (mid + Math.imul(al1, bh3)) | 0; + mid = (mid + Math.imul(ah1, bl3)) | 0; + hi = (hi + Math.imul(ah1, bh3)) | 0; + lo = (lo + Math.imul(al0, bl4)) | 0; + mid = (mid + Math.imul(al0, bh4)) | 0; + mid = (mid + Math.imul(ah0, bl4)) | 0; + hi = (hi + Math.imul(ah0, bh4)) | 0; + var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0; + w4 &= 0x3ffffff; + /* k = 5 */ + lo = Math.imul(al5, bl0); + mid = Math.imul(al5, bh0); + mid = (mid + Math.imul(ah5, bl0)) | 0; + hi = Math.imul(ah5, bh0); + lo = (lo + Math.imul(al4, bl1)) | 0; + mid = (mid + Math.imul(al4, bh1)) | 0; + mid = (mid + Math.imul(ah4, bl1)) | 0; + hi = (hi + Math.imul(ah4, bh1)) | 0; + lo = (lo + Math.imul(al3, bl2)) | 0; + mid = (mid + Math.imul(al3, bh2)) | 0; + mid = (mid + Math.imul(ah3, bl2)) | 0; + hi = (hi + Math.imul(ah3, bh2)) | 0; + lo = (lo + Math.imul(al2, bl3)) | 0; + mid = (mid + Math.imul(al2, bh3)) | 0; + mid = (mid + Math.imul(ah2, bl3)) | 0; + hi = (hi + Math.imul(ah2, bh3)) | 0; + lo = (lo + Math.imul(al1, bl4)) | 0; + mid = (mid + Math.imul(al1, bh4)) | 0; + mid = (mid + Math.imul(ah1, bl4)) | 0; + hi = (hi + Math.imul(ah1, bh4)) | 0; + lo = (lo + Math.imul(al0, bl5)) | 0; + mid = (mid + Math.imul(al0, bh5)) | 0; + mid = (mid + Math.imul(ah0, bl5)) | 0; + hi = (hi + Math.imul(ah0, bh5)) | 0; + var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0; + w5 &= 0x3ffffff; + /* k = 6 */ + lo = Math.imul(al6, bl0); + mid = Math.imul(al6, bh0); + mid = (mid + Math.imul(ah6, bl0)) | 0; + hi = Math.imul(ah6, bh0); + lo = (lo + Math.imul(al5, bl1)) | 0; + mid = (mid + Math.imul(al5, bh1)) | 0; + mid = (mid + Math.imul(ah5, bl1)) | 0; + hi = (hi + Math.imul(ah5, bh1)) | 0; + lo = (lo + Math.imul(al4, bl2)) | 0; + mid = (mid + Math.imul(al4, bh2)) | 0; + mid = (mid + Math.imul(ah4, bl2)) | 0; + hi = (hi + Math.imul(ah4, bh2)) | 0; + lo = (lo + Math.imul(al3, bl3)) | 0; + mid = (mid + Math.imul(al3, bh3)) | 0; + mid = (mid + Math.imul(ah3, bl3)) | 0; + hi = (hi + Math.imul(ah3, bh3)) | 0; + lo = (lo + Math.imul(al2, bl4)) | 0; + mid = (mid + Math.imul(al2, bh4)) | 0; + mid = (mid + Math.imul(ah2, bl4)) | 0; + hi = (hi + Math.imul(ah2, bh4)) | 0; + lo = (lo + Math.imul(al1, bl5)) | 0; + mid = (mid + Math.imul(al1, bh5)) | 0; + mid = (mid + Math.imul(ah1, bl5)) | 0; + hi = (hi + Math.imul(ah1, bh5)) | 0; + lo = (lo + Math.imul(al0, bl6)) | 0; + mid = (mid + Math.imul(al0, bh6)) | 0; + mid = (mid + Math.imul(ah0, bl6)) | 0; + hi = (hi + Math.imul(ah0, bh6)) | 0; + var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0; + w6 &= 0x3ffffff; + /* k = 7 */ + lo = Math.imul(al7, bl0); + mid = Math.imul(al7, bh0); + mid = (mid + Math.imul(ah7, bl0)) | 0; + hi = Math.imul(ah7, bh0); + lo = (lo + Math.imul(al6, bl1)) | 0; + mid = (mid + Math.imul(al6, bh1)) | 0; + mid = (mid + Math.imul(ah6, bl1)) | 0; + hi = (hi + Math.imul(ah6, bh1)) | 0; + lo = (lo + Math.imul(al5, bl2)) | 0; + mid = (mid + Math.imul(al5, bh2)) | 0; + mid = (mid + Math.imul(ah5, bl2)) | 0; + hi = (hi + Math.imul(ah5, bh2)) | 0; + lo = (lo + Math.imul(al4, bl3)) | 0; + mid = (mid + Math.imul(al4, bh3)) | 0; + mid = (mid + Math.imul(ah4, bl3)) | 0; + hi = (hi + Math.imul(ah4, bh3)) | 0; + lo = (lo + Math.imul(al3, bl4)) | 0; + mid = (mid + Math.imul(al3, bh4)) | 0; + mid = (mid + Math.imul(ah3, bl4)) | 0; + hi = (hi + Math.imul(ah3, bh4)) | 0; + lo = (lo + Math.imul(al2, bl5)) | 0; + mid = (mid + Math.imul(al2, bh5)) | 0; + mid = (mid + Math.imul(ah2, bl5)) | 0; + hi = (hi + Math.imul(ah2, bh5)) | 0; + lo = (lo + Math.imul(al1, bl6)) | 0; + mid = (mid + Math.imul(al1, bh6)) | 0; + mid = (mid + Math.imul(ah1, bl6)) | 0; + hi = (hi + Math.imul(ah1, bh6)) | 0; + lo = (lo + Math.imul(al0, bl7)) | 0; + mid = (mid + Math.imul(al0, bh7)) | 0; + mid = (mid + Math.imul(ah0, bl7)) | 0; + hi = (hi + Math.imul(ah0, bh7)) | 0; + var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0; + w7 &= 0x3ffffff; + /* k = 8 */ + lo = Math.imul(al8, bl0); + mid = Math.imul(al8, bh0); + mid = (mid + Math.imul(ah8, bl0)) | 0; + hi = Math.imul(ah8, bh0); + lo = (lo + Math.imul(al7, bl1)) | 0; + mid = (mid + Math.imul(al7, bh1)) | 0; + mid = (mid + Math.imul(ah7, bl1)) | 0; + hi = (hi + Math.imul(ah7, bh1)) | 0; + lo = (lo + Math.imul(al6, bl2)) | 0; + mid = (mid + Math.imul(al6, bh2)) | 0; + mid = (mid + Math.imul(ah6, bl2)) | 0; + hi = (hi + Math.imul(ah6, bh2)) | 0; + lo = (lo + Math.imul(al5, bl3)) | 0; + mid = (mid + Math.imul(al5, bh3)) | 0; + mid = (mid + Math.imul(ah5, bl3)) | 0; + hi = (hi + Math.imul(ah5, bh3)) | 0; + lo = (lo + Math.imul(al4, bl4)) | 0; + mid = (mid + Math.imul(al4, bh4)) | 0; + mid = (mid + Math.imul(ah4, bl4)) | 0; + hi = (hi + Math.imul(ah4, bh4)) | 0; + lo = (lo + Math.imul(al3, bl5)) | 0; + mid = (mid + Math.imul(al3, bh5)) | 0; + mid = (mid + Math.imul(ah3, bl5)) | 0; + hi = (hi + Math.imul(ah3, bh5)) | 0; + lo = (lo + Math.imul(al2, bl6)) | 0; + mid = (mid + Math.imul(al2, bh6)) | 0; + mid = (mid + Math.imul(ah2, bl6)) | 0; + hi = (hi + Math.imul(ah2, bh6)) | 0; + lo = (lo + Math.imul(al1, bl7)) | 0; + mid = (mid + Math.imul(al1, bh7)) | 0; + mid = (mid + Math.imul(ah1, bl7)) | 0; + hi = (hi + Math.imul(ah1, bh7)) | 0; + lo = (lo + Math.imul(al0, bl8)) | 0; + mid = (mid + Math.imul(al0, bh8)) | 0; + mid = (mid + Math.imul(ah0, bl8)) | 0; + hi = (hi + Math.imul(ah0, bh8)) | 0; + var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0; + w8 &= 0x3ffffff; + /* k = 9 */ + lo = Math.imul(al9, bl0); + mid = Math.imul(al9, bh0); + mid = (mid + Math.imul(ah9, bl0)) | 0; + hi = Math.imul(ah9, bh0); + lo = (lo + Math.imul(al8, bl1)) | 0; + mid = (mid + Math.imul(al8, bh1)) | 0; + mid = (mid + Math.imul(ah8, bl1)) | 0; + hi = (hi + Math.imul(ah8, bh1)) | 0; + lo = (lo + Math.imul(al7, bl2)) | 0; + mid = (mid + Math.imul(al7, bh2)) | 0; + mid = (mid + Math.imul(ah7, bl2)) | 0; + hi = (hi + Math.imul(ah7, bh2)) | 0; + lo = (lo + Math.imul(al6, bl3)) | 0; + mid = (mid + Math.imul(al6, bh3)) | 0; + mid = (mid + Math.imul(ah6, bl3)) | 0; + hi = (hi + Math.imul(ah6, bh3)) | 0; + lo = (lo + Math.imul(al5, bl4)) | 0; + mid = (mid + Math.imul(al5, bh4)) | 0; + mid = (mid + Math.imul(ah5, bl4)) | 0; + hi = (hi + Math.imul(ah5, bh4)) | 0; + lo = (lo + Math.imul(al4, bl5)) | 0; + mid = (mid + Math.imul(al4, bh5)) | 0; + mid = (mid + Math.imul(ah4, bl5)) | 0; + hi = (hi + Math.imul(ah4, bh5)) | 0; + lo = (lo + Math.imul(al3, bl6)) | 0; + mid = (mid + Math.imul(al3, bh6)) | 0; + mid = (mid + Math.imul(ah3, bl6)) | 0; + hi = (hi + Math.imul(ah3, bh6)) | 0; + lo = (lo + Math.imul(al2, bl7)) | 0; + mid = (mid + Math.imul(al2, bh7)) | 0; + mid = (mid + Math.imul(ah2, bl7)) | 0; + hi = (hi + Math.imul(ah2, bh7)) | 0; + lo = (lo + Math.imul(al1, bl8)) | 0; + mid = (mid + Math.imul(al1, bh8)) | 0; + mid = (mid + Math.imul(ah1, bl8)) | 0; + hi = (hi + Math.imul(ah1, bh8)) | 0; + lo = (lo + Math.imul(al0, bl9)) | 0; + mid = (mid + Math.imul(al0, bh9)) | 0; + mid = (mid + Math.imul(ah0, bl9)) | 0; + hi = (hi + Math.imul(ah0, bh9)) | 0; + var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0; + w9 &= 0x3ffffff; + /* k = 10 */ + lo = Math.imul(al9, bl1); + mid = Math.imul(al9, bh1); + mid = (mid + Math.imul(ah9, bl1)) | 0; + hi = Math.imul(ah9, bh1); + lo = (lo + Math.imul(al8, bl2)) | 0; + mid = (mid + Math.imul(al8, bh2)) | 0; + mid = (mid + Math.imul(ah8, bl2)) | 0; + hi = (hi + Math.imul(ah8, bh2)) | 0; + lo = (lo + Math.imul(al7, bl3)) | 0; + mid = (mid + Math.imul(al7, bh3)) | 0; + mid = (mid + Math.imul(ah7, bl3)) | 0; + hi = (hi + Math.imul(ah7, bh3)) | 0; + lo = (lo + Math.imul(al6, bl4)) | 0; + mid = (mid + Math.imul(al6, bh4)) | 0; + mid = (mid + Math.imul(ah6, bl4)) | 0; + hi = (hi + Math.imul(ah6, bh4)) | 0; + lo = (lo + Math.imul(al5, bl5)) | 0; + mid = (mid + Math.imul(al5, bh5)) | 0; + mid = (mid + Math.imul(ah5, bl5)) | 0; + hi = (hi + Math.imul(ah5, bh5)) | 0; + lo = (lo + Math.imul(al4, bl6)) | 0; + mid = (mid + Math.imul(al4, bh6)) | 0; + mid = (mid + Math.imul(ah4, bl6)) | 0; + hi = (hi + Math.imul(ah4, bh6)) | 0; + lo = (lo + Math.imul(al3, bl7)) | 0; + mid = (mid + Math.imul(al3, bh7)) | 0; + mid = (mid + Math.imul(ah3, bl7)) | 0; + hi = (hi + Math.imul(ah3, bh7)) | 0; + lo = (lo + Math.imul(al2, bl8)) | 0; + mid = (mid + Math.imul(al2, bh8)) | 0; + mid = (mid + Math.imul(ah2, bl8)) | 0; + hi = (hi + Math.imul(ah2, bh8)) | 0; + lo = (lo + Math.imul(al1, bl9)) | 0; + mid = (mid + Math.imul(al1, bh9)) | 0; + mid = (mid + Math.imul(ah1, bl9)) | 0; + hi = (hi + Math.imul(ah1, bh9)) | 0; + var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0; + w10 &= 0x3ffffff; + /* k = 11 */ + lo = Math.imul(al9, bl2); + mid = Math.imul(al9, bh2); + mid = (mid + Math.imul(ah9, bl2)) | 0; + hi = Math.imul(ah9, bh2); + lo = (lo + Math.imul(al8, bl3)) | 0; + mid = (mid + Math.imul(al8, bh3)) | 0; + mid = (mid + Math.imul(ah8, bl3)) | 0; + hi = (hi + Math.imul(ah8, bh3)) | 0; + lo = (lo + Math.imul(al7, bl4)) | 0; + mid = (mid + Math.imul(al7, bh4)) | 0; + mid = (mid + Math.imul(ah7, bl4)) | 0; + hi = (hi + Math.imul(ah7, bh4)) | 0; + lo = (lo + Math.imul(al6, bl5)) | 0; + mid = (mid + Math.imul(al6, bh5)) | 0; + mid = (mid + Math.imul(ah6, bl5)) | 0; + hi = (hi + Math.imul(ah6, bh5)) | 0; + lo = (lo + Math.imul(al5, bl6)) | 0; + mid = (mid + Math.imul(al5, bh6)) | 0; + mid = (mid + Math.imul(ah5, bl6)) | 0; + hi = (hi + Math.imul(ah5, bh6)) | 0; + lo = (lo + Math.imul(al4, bl7)) | 0; + mid = (mid + Math.imul(al4, bh7)) | 0; + mid = (mid + Math.imul(ah4, bl7)) | 0; + hi = (hi + Math.imul(ah4, bh7)) | 0; + lo = (lo + Math.imul(al3, bl8)) | 0; + mid = (mid + Math.imul(al3, bh8)) | 0; + mid = (mid + Math.imul(ah3, bl8)) | 0; + hi = (hi + Math.imul(ah3, bh8)) | 0; + lo = (lo + Math.imul(al2, bl9)) | 0; + mid = (mid + Math.imul(al2, bh9)) | 0; + mid = (mid + Math.imul(ah2, bl9)) | 0; + hi = (hi + Math.imul(ah2, bh9)) | 0; + var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0; + w11 &= 0x3ffffff; + /* k = 12 */ + lo = Math.imul(al9, bl3); + mid = Math.imul(al9, bh3); + mid = (mid + Math.imul(ah9, bl3)) | 0; + hi = Math.imul(ah9, bh3); + lo = (lo + Math.imul(al8, bl4)) | 0; + mid = (mid + Math.imul(al8, bh4)) | 0; + mid = (mid + Math.imul(ah8, bl4)) | 0; + hi = (hi + Math.imul(ah8, bh4)) | 0; + lo = (lo + Math.imul(al7, bl5)) | 0; + mid = (mid + Math.imul(al7, bh5)) | 0; + mid = (mid + Math.imul(ah7, bl5)) | 0; + hi = (hi + Math.imul(ah7, bh5)) | 0; + lo = (lo + Math.imul(al6, bl6)) | 0; + mid = (mid + Math.imul(al6, bh6)) | 0; + mid = (mid + Math.imul(ah6, bl6)) | 0; + hi = (hi + Math.imul(ah6, bh6)) | 0; + lo = (lo + Math.imul(al5, bl7)) | 0; + mid = (mid + Math.imul(al5, bh7)) | 0; + mid = (mid + Math.imul(ah5, bl7)) | 0; + hi = (hi + Math.imul(ah5, bh7)) | 0; + lo = (lo + Math.imul(al4, bl8)) | 0; + mid = (mid + Math.imul(al4, bh8)) | 0; + mid = (mid + Math.imul(ah4, bl8)) | 0; + hi = (hi + Math.imul(ah4, bh8)) | 0; + lo = (lo + Math.imul(al3, bl9)) | 0; + mid = (mid + Math.imul(al3, bh9)) | 0; + mid = (mid + Math.imul(ah3, bl9)) | 0; + hi = (hi + Math.imul(ah3, bh9)) | 0; + var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0; + w12 &= 0x3ffffff; + /* k = 13 */ + lo = Math.imul(al9, bl4); + mid = Math.imul(al9, bh4); + mid = (mid + Math.imul(ah9, bl4)) | 0; + hi = Math.imul(ah9, bh4); + lo = (lo + Math.imul(al8, bl5)) | 0; + mid = (mid + Math.imul(al8, bh5)) | 0; + mid = (mid + Math.imul(ah8, bl5)) | 0; + hi = (hi + Math.imul(ah8, bh5)) | 0; + lo = (lo + Math.imul(al7, bl6)) | 0; + mid = (mid + Math.imul(al7, bh6)) | 0; + mid = (mid + Math.imul(ah7, bl6)) | 0; + hi = (hi + Math.imul(ah7, bh6)) | 0; + lo = (lo + Math.imul(al6, bl7)) | 0; + mid = (mid + Math.imul(al6, bh7)) | 0; + mid = (mid + Math.imul(ah6, bl7)) | 0; + hi = (hi + Math.imul(ah6, bh7)) | 0; + lo = (lo + Math.imul(al5, bl8)) | 0; + mid = (mid + Math.imul(al5, bh8)) | 0; + mid = (mid + Math.imul(ah5, bl8)) | 0; + hi = (hi + Math.imul(ah5, bh8)) | 0; + lo = (lo + Math.imul(al4, bl9)) | 0; + mid = (mid + Math.imul(al4, bh9)) | 0; + mid = (mid + Math.imul(ah4, bl9)) | 0; + hi = (hi + Math.imul(ah4, bh9)) | 0; + var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0; + w13 &= 0x3ffffff; + /* k = 14 */ + lo = Math.imul(al9, bl5); + mid = Math.imul(al9, bh5); + mid = (mid + Math.imul(ah9, bl5)) | 0; + hi = Math.imul(ah9, bh5); + lo = (lo + Math.imul(al8, bl6)) | 0; + mid = (mid + Math.imul(al8, bh6)) | 0; + mid = (mid + Math.imul(ah8, bl6)) | 0; + hi = (hi + Math.imul(ah8, bh6)) | 0; + lo = (lo + Math.imul(al7, bl7)) | 0; + mid = (mid + Math.imul(al7, bh7)) | 0; + mid = (mid + Math.imul(ah7, bl7)) | 0; + hi = (hi + Math.imul(ah7, bh7)) | 0; + lo = (lo + Math.imul(al6, bl8)) | 0; + mid = (mid + Math.imul(al6, bh8)) | 0; + mid = (mid + Math.imul(ah6, bl8)) | 0; + hi = (hi + Math.imul(ah6, bh8)) | 0; + lo = (lo + Math.imul(al5, bl9)) | 0; + mid = (mid + Math.imul(al5, bh9)) | 0; + mid = (mid + Math.imul(ah5, bl9)) | 0; + hi = (hi + Math.imul(ah5, bh9)) | 0; + var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0; + w14 &= 0x3ffffff; + /* k = 15 */ + lo = Math.imul(al9, bl6); + mid = Math.imul(al9, bh6); + mid = (mid + Math.imul(ah9, bl6)) | 0; + hi = Math.imul(ah9, bh6); + lo = (lo + Math.imul(al8, bl7)) | 0; + mid = (mid + Math.imul(al8, bh7)) | 0; + mid = (mid + Math.imul(ah8, bl7)) | 0; + hi = (hi + Math.imul(ah8, bh7)) | 0; + lo = (lo + Math.imul(al7, bl8)) | 0; + mid = (mid + Math.imul(al7, bh8)) | 0; + mid = (mid + Math.imul(ah7, bl8)) | 0; + hi = (hi + Math.imul(ah7, bh8)) | 0; + lo = (lo + Math.imul(al6, bl9)) | 0; + mid = (mid + Math.imul(al6, bh9)) | 0; + mid = (mid + Math.imul(ah6, bl9)) | 0; + hi = (hi + Math.imul(ah6, bh9)) | 0; + var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0; + w15 &= 0x3ffffff; + /* k = 16 */ + lo = Math.imul(al9, bl7); + mid = Math.imul(al9, bh7); + mid = (mid + Math.imul(ah9, bl7)) | 0; + hi = Math.imul(ah9, bh7); + lo = (lo + Math.imul(al8, bl8)) | 0; + mid = (mid + Math.imul(al8, bh8)) | 0; + mid = (mid + Math.imul(ah8, bl8)) | 0; + hi = (hi + Math.imul(ah8, bh8)) | 0; + lo = (lo + Math.imul(al7, bl9)) | 0; + mid = (mid + Math.imul(al7, bh9)) | 0; + mid = (mid + Math.imul(ah7, bl9)) | 0; + hi = (hi + Math.imul(ah7, bh9)) | 0; + var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0; + w16 &= 0x3ffffff; + /* k = 17 */ + lo = Math.imul(al9, bl8); + mid = Math.imul(al9, bh8); + mid = (mid + Math.imul(ah9, bl8)) | 0; + hi = Math.imul(ah9, bh8); + lo = (lo + Math.imul(al8, bl9)) | 0; + mid = (mid + Math.imul(al8, bh9)) | 0; + mid = (mid + Math.imul(ah8, bl9)) | 0; + hi = (hi + Math.imul(ah8, bh9)) | 0; + var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0; + w17 &= 0x3ffffff; + /* k = 18 */ + lo = Math.imul(al9, bl9); + mid = Math.imul(al9, bh9); + mid = (mid + Math.imul(ah9, bl9)) | 0; + hi = Math.imul(ah9, bh9); + var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; + c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0; + w18 &= 0x3ffffff; + o[0] = w0; + o[1] = w1; + o[2] = w2; + o[3] = w3; + o[4] = w4; + o[5] = w5; + o[6] = w6; + o[7] = w7; + o[8] = w8; + o[9] = w9; + o[10] = w10; + o[11] = w11; + o[12] = w12; + o[13] = w13; + o[14] = w14; + o[15] = w15; + o[16] = w16; + o[17] = w17; + o[18] = w18; + if (c !== 0) { + o[19] = c; + out.length++; + } + return out; + }; + + // Polyfill comb + if (!Math.imul) { + comb10MulTo = smallMulTo; + } + + function bigMulTo (self, num, out) { + out.negative = num.negative ^ self.negative; + out.length = self.length + num.length; + + var carry = 0; + var hncarry = 0; + for (var k = 0; k < out.length - 1; k++) { + // Sum all words with the same `i + j = k` and accumulate `ncarry`, + // note that ncarry could be >= 0x3ffffff + var ncarry = hncarry; + hncarry = 0; + var rword = carry & 0x3ffffff; + var maxJ = Math.min(k, num.length - 1); + for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { + var i = k - j; + var a = self.words[i] | 0; + var b = num.words[j] | 0; + var r = a * b; + + var lo = r & 0x3ffffff; + ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; + lo = (lo + rword) | 0; + rword = lo & 0x3ffffff; + ncarry = (ncarry + (lo >>> 26)) | 0; + + hncarry += ncarry >>> 26; + ncarry &= 0x3ffffff; + } + out.words[k] = rword; + carry = ncarry; + ncarry = hncarry; + } + if (carry !== 0) { + out.words[k] = carry; + } else { + out.length--; + } + + return out.strip(); + } + + function jumboMulTo (self, num, out) { + var fftm = new FFTM(); + return fftm.mulp(self, num, out); + } + + BN.prototype.mulTo = function mulTo (num, out) { + var res; + var len = this.length + num.length; + if (this.length === 10 && num.length === 10) { + res = comb10MulTo(this, num, out); + } else if (len < 63) { + res = smallMulTo(this, num, out); + } else if (len < 1024) { + res = bigMulTo(this, num, out); + } else { + res = jumboMulTo(this, num, out); + } + + return res; + }; + + // Cooley-Tukey algorithm for FFT + // slightly revisited to rely on looping instead of recursion + + function FFTM (x, y) { + this.x = x; + this.y = y; + } + + FFTM.prototype.makeRBT = function makeRBT (N) { + var t = new Array(N); + var l = BN.prototype._countBits(N) - 1; + for (var i = 0; i < N; i++) { + t[i] = this.revBin(i, l, N); + } + + return t; + }; + + // Returns binary-reversed representation of `x` + FFTM.prototype.revBin = function revBin (x, l, N) { + if (x === 0 || x === N - 1) return x; + + var rb = 0; + for (var i = 0; i < l; i++) { + rb |= (x & 1) << (l - i - 1); + x >>= 1; + } + + return rb; + }; + + // Performs "tweedling" phase, therefore 'emulating' + // behaviour of the recursive algorithm + FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) { + for (var i = 0; i < N; i++) { + rtws[i] = rws[rbt[i]]; + itws[i] = iws[rbt[i]]; + } + }; + + FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { + this.permute(rbt, rws, iws, rtws, itws, N); + + for (var s = 1; s < N; s <<= 1) { + var l = s << 1; + + var rtwdf = Math.cos(2 * Math.PI / l); + var itwdf = Math.sin(2 * Math.PI / l); + + for (var p = 0; p < N; p += l) { + var rtwdf_ = rtwdf; + var itwdf_ = itwdf; + + for (var j = 0; j < s; j++) { + var re = rtws[p + j]; + var ie = itws[p + j]; + + var ro = rtws[p + j + s]; + var io = itws[p + j + s]; + + var rx = rtwdf_ * ro - itwdf_ * io; + + io = rtwdf_ * io + itwdf_ * ro; + ro = rx; + + rtws[p + j] = re + ro; + itws[p + j] = ie + io; + + rtws[p + j + s] = re - ro; + itws[p + j + s] = ie - io; + + /* jshint maxdepth : false */ + if (j !== l) { + rx = rtwdf * rtwdf_ - itwdf * itwdf_; + + itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; + rtwdf_ = rx; + } + } + } + } + }; + + FFTM.prototype.guessLen13b = function guessLen13b (n, m) { + var N = Math.max(m, n) | 1; + var odd = N & 1; + var i = 0; + for (N = N / 2 | 0; N; N = N >>> 1) { + i++; + } + + return 1 << i + 1 + odd; + }; + + FFTM.prototype.conjugate = function conjugate (rws, iws, N) { + if (N <= 1) return; + + for (var i = 0; i < N / 2; i++) { + var t = rws[i]; + + rws[i] = rws[N - i - 1]; + rws[N - i - 1] = t; + + t = iws[i]; + + iws[i] = -iws[N - i - 1]; + iws[N - i - 1] = -t; + } + }; + + FFTM.prototype.normalize13b = function normalize13b (ws, N) { + var carry = 0; + for (var i = 0; i < N / 2; i++) { + var w = Math.round(ws[2 * i + 1] / N) * 0x2000 + + Math.round(ws[2 * i] / N) + + carry; + + ws[i] = w & 0x3ffffff; + + if (w < 0x4000000) { + carry = 0; + } else { + carry = w / 0x4000000 | 0; + } + } + + return ws; + }; + + FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { + var carry = 0; + for (var i = 0; i < len; i++) { + carry = carry + (ws[i] | 0); + + rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; + rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; + } + + // Pad with zeroes + for (i = 2 * len; i < N; ++i) { + rws[i] = 0; + } + + assert(carry === 0); + assert((carry & ~0x1fff) === 0); + }; + + FFTM.prototype.stub = function stub (N) { + var ph = new Array(N); + for (var i = 0; i < N; i++) { + ph[i] = 0; + } + + return ph; + }; + + FFTM.prototype.mulp = function mulp (x, y, out) { + var N = 2 * this.guessLen13b(x.length, y.length); + + var rbt = this.makeRBT(N); + + var _ = this.stub(N); + + var rws = new Array(N); + var rwst = new Array(N); + var iwst = new Array(N); + + var nrws = new Array(N); + var nrwst = new Array(N); + var niwst = new Array(N); + + var rmws = out.words; + rmws.length = N; + + this.convert13b(x.words, x.length, rws, N); + this.convert13b(y.words, y.length, nrws, N); + + this.transform(rws, _, rwst, iwst, N, rbt); + this.transform(nrws, _, nrwst, niwst, N, rbt); + + for (var i = 0; i < N; i++) { + var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i]; + iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i]; + rwst[i] = rx; + } + + this.conjugate(rwst, iwst, N); + this.transform(rwst, iwst, rmws, _, N, rbt); + this.conjugate(rmws, _, N); + this.normalize13b(rmws, N); + + out.negative = x.negative ^ y.negative; + out.length = x.length + y.length; + return out.strip(); + }; + + // Multiply `this` by `num` + BN.prototype.mul = function mul (num) { + var out = new BN(null); + out.words = new Array(this.length + num.length); + return this.mulTo(num, out); + }; + + // Multiply employing FFT + BN.prototype.mulf = function mulf (num) { + var out = new BN(null); + out.words = new Array(this.length + num.length); + return jumboMulTo(this, num, out); + }; + + // In-place Multiplication + BN.prototype.imul = function imul (num) { + return this.clone().mulTo(num, this); + }; + + BN.prototype.imuln = function imuln (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + + // Carry + var carry = 0; + for (var i = 0; i < this.length; i++) { + var w = (this.words[i] | 0) * num; + var lo = (w & 0x3ffffff) + (carry & 0x3ffffff); + carry >>= 26; + carry += (w / 0x4000000) | 0; + // NOTE: lo is 27bit maximum + carry += lo >>> 26; + this.words[i] = lo & 0x3ffffff; + } + + if (carry !== 0) { + this.words[i] = carry; + this.length++; + } + + return this; + }; + + BN.prototype.muln = function muln (num) { + return this.clone().imuln(num); + }; + + // `this` * `this` + BN.prototype.sqr = function sqr () { + return this.mul(this); + }; + + // `this` * `this` in-place + BN.prototype.isqr = function isqr () { + return this.imul(this.clone()); + }; + + // Math.pow(`this`, `num`) + BN.prototype.pow = function pow (num) { + var w = toBitArray(num); + if (w.length === 0) return new BN(1); + + // Skip leading zeroes + var res = this; + for (var i = 0; i < w.length; i++, res = res.sqr()) { + if (w[i] !== 0) break; + } + + if (++i < w.length) { + for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { + if (w[i] === 0) continue; + + res = res.mul(q); + } + } + + return res; + }; + + // Shift-left in-place + BN.prototype.iushln = function iushln (bits) { + assert(typeof bits === 'number' && bits >= 0); + var r = bits % 26; + var s = (bits - r) / 26; + var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r); + var i; + + if (r !== 0) { + var carry = 0; + + for (i = 0; i < this.length; i++) { + var newCarry = this.words[i] & carryMask; + var c = ((this.words[i] | 0) - newCarry) << r; + this.words[i] = c | carry; + carry = newCarry >>> (26 - r); + } + + if (carry) { + this.words[i] = carry; + this.length++; + } + } + + if (s !== 0) { + for (i = this.length - 1; i >= 0; i--) { + this.words[i + s] = this.words[i]; + } + + for (i = 0; i < s; i++) { + this.words[i] = 0; + } + + this.length += s; + } + + return this.strip(); + }; + + BN.prototype.ishln = function ishln (bits) { + // TODO(indutny): implement me + assert(this.negative === 0); + return this.iushln(bits); + }; + + // Shift-right in-place + // NOTE: `hint` is a lowest bit before trailing zeroes + // NOTE: if `extended` is present - it will be filled with destroyed bits + BN.prototype.iushrn = function iushrn (bits, hint, extended) { + assert(typeof bits === 'number' && bits >= 0); + var h; + if (hint) { + h = (hint - (hint % 26)) / 26; + } else { + h = 0; + } + + var r = bits % 26; + var s = Math.min((bits - r) / 26, this.length); + var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); + var maskedWords = extended; + + h -= s; + h = Math.max(0, h); + + // Extended mode, copy masked part + if (maskedWords) { + for (var i = 0; i < s; i++) { + maskedWords.words[i] = this.words[i]; + } + maskedWords.length = s; + } + + if (s === 0) { + // No-op, we should not move anything at all + } else if (this.length > s) { + this.length -= s; + for (i = 0; i < this.length; i++) { + this.words[i] = this.words[i + s]; + } + } else { + this.words[0] = 0; + this.length = 1; + } + + var carry = 0; + for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) { + var word = this.words[i] | 0; + this.words[i] = (carry << (26 - r)) | (word >>> r); + carry = word & mask; + } + + // Push carried bits as a mask + if (maskedWords && carry !== 0) { + maskedWords.words[maskedWords.length++] = carry; + } + + if (this.length === 0) { + this.words[0] = 0; + this.length = 1; + } + + return this.strip(); + }; + + BN.prototype.ishrn = function ishrn (bits, hint, extended) { + // TODO(indutny): implement me + assert(this.negative === 0); + return this.iushrn(bits, hint, extended); + }; + + // Shift-left + BN.prototype.shln = function shln (bits) { + return this.clone().ishln(bits); + }; + + BN.prototype.ushln = function ushln (bits) { + return this.clone().iushln(bits); + }; + + // Shift-right + BN.prototype.shrn = function shrn (bits) { + return this.clone().ishrn(bits); + }; + + BN.prototype.ushrn = function ushrn (bits) { + return this.clone().iushrn(bits); + }; + + // Test if n bit is set + BN.prototype.testn = function testn (bit) { + assert(typeof bit === 'number' && bit >= 0); + var r = bit % 26; + var s = (bit - r) / 26; + var q = 1 << r; + + // Fast case: bit is much higher than all existing words + if (this.length <= s) return false; + + // Check bit and return + var w = this.words[s]; + + return !!(w & q); + }; + + // Return only lowers bits of number (in-place) + BN.prototype.imaskn = function imaskn (bits) { + assert(typeof bits === 'number' && bits >= 0); + var r = bits % 26; + var s = (bits - r) / 26; + + assert(this.negative === 0, 'imaskn works only with positive numbers'); + + if (this.length <= s) { + return this; + } + + if (r !== 0) { + s++; + } + this.length = Math.min(s, this.length); + + if (r !== 0) { + var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); + this.words[this.length - 1] &= mask; + } + + return this.strip(); + }; + + // Return only lowers bits of number + BN.prototype.maskn = function maskn (bits) { + return this.clone().imaskn(bits); + }; + + // Add plain number `num` to `this` + BN.prototype.iaddn = function iaddn (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + if (num < 0) return this.isubn(-num); + + // Possible sign change + if (this.negative !== 0) { + if (this.length === 1 && (this.words[0] | 0) < num) { + this.words[0] = num - (this.words[0] | 0); + this.negative = 0; + return this; + } + + this.negative = 0; + this.isubn(num); + this.negative = 1; + return this; + } + + // Add without checks + return this._iaddn(num); + }; + + BN.prototype._iaddn = function _iaddn (num) { + this.words[0] += num; + + // Carry + for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) { + this.words[i] -= 0x4000000; + if (i === this.length - 1) { + this.words[i + 1] = 1; + } else { + this.words[i + 1]++; + } + } + this.length = Math.max(this.length, i + 1); + + return this; + }; + + // Subtract plain number `num` from `this` + BN.prototype.isubn = function isubn (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); + if (num < 0) return this.iaddn(-num); + + if (this.negative !== 0) { + this.negative = 0; + this.iaddn(num); + this.negative = 1; + return this; + } + + this.words[0] -= num; + + if (this.length === 1 && this.words[0] < 0) { + this.words[0] = -this.words[0]; + this.negative = 1; + } else { + // Carry + for (var i = 0; i < this.length && this.words[i] < 0; i++) { + this.words[i] += 0x4000000; + this.words[i + 1] -= 1; + } + } + + return this.strip(); + }; + + BN.prototype.addn = function addn (num) { + return this.clone().iaddn(num); + }; + + BN.prototype.subn = function subn (num) { + return this.clone().isubn(num); + }; + + BN.prototype.iabs = function iabs () { + this.negative = 0; + + return this; + }; + + BN.prototype.abs = function abs () { + return this.clone().iabs(); + }; + + BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { + var len = num.length + shift; + var i; + + this._expand(len); + + var w; + var carry = 0; + for (i = 0; i < num.length; i++) { + w = (this.words[i + shift] | 0) + carry; + var right = (num.words[i] | 0) * mul; + w -= right & 0x3ffffff; + carry = (w >> 26) - ((right / 0x4000000) | 0); + this.words[i + shift] = w & 0x3ffffff; + } + for (; i < this.length - shift; i++) { + w = (this.words[i + shift] | 0) + carry; + carry = w >> 26; + this.words[i + shift] = w & 0x3ffffff; + } + + if (carry === 0) return this.strip(); + + // Subtraction overflow + assert(carry === -1); + carry = 0; + for (i = 0; i < this.length; i++) { + w = -(this.words[i] | 0) + carry; + carry = w >> 26; + this.words[i] = w & 0x3ffffff; + } + this.negative = 1; + + return this.strip(); + }; + + BN.prototype._wordDiv = function _wordDiv (num, mode) { + var shift = this.length - num.length; + + var a = this.clone(); + var b = num; + + // Normalize + var bhi = b.words[b.length - 1] | 0; + var bhiBits = this._countBits(bhi); + shift = 26 - bhiBits; + if (shift !== 0) { + b = b.ushln(shift); + a.iushln(shift); + bhi = b.words[b.length - 1] | 0; + } + + // Initialize quotient + var m = a.length - b.length; + var q; + + if (mode !== 'mod') { + q = new BN(null); + q.length = m + 1; + q.words = new Array(q.length); + for (var i = 0; i < q.length; i++) { + q.words[i] = 0; + } + } + + var diff = a.clone()._ishlnsubmul(b, 1, m); + if (diff.negative === 0) { + a = diff; + if (q) { + q.words[m] = 1; + } + } + + for (var j = m - 1; j >= 0; j--) { + var qj = (a.words[b.length + j] | 0) * 0x4000000 + + (a.words[b.length + j - 1] | 0); + + // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max + // (0x7ffffff) + qj = Math.min((qj / bhi) | 0, 0x3ffffff); + + a._ishlnsubmul(b, qj, j); + while (a.negative !== 0) { + qj--; + a.negative = 0; + a._ishlnsubmul(b, 1, j); + if (!a.isZero()) { + a.negative ^= 1; + } + } + if (q) { + q.words[j] = qj; + } + } + if (q) { + q.strip(); + } + a.strip(); + + // Denormalize + if (mode !== 'div' && shift !== 0) { + a.iushrn(shift); + } + + return { + div: q || null, + mod: a + }; + }; + + // NOTE: 1) `mode` can be set to `mod` to request mod only, + // to `div` to request div only, or be absent to + // request both div & mod + // 2) `positive` is true if unsigned mod is requested + BN.prototype.divmod = function divmod (num, mode, positive) { + assert(!num.isZero()); + + if (this.isZero()) { + return { + div: new BN(0), + mod: new BN(0) + }; + } + + var div, mod, res; + if (this.negative !== 0 && num.negative === 0) { + res = this.neg().divmod(num, mode); + + if (mode !== 'mod') { + div = res.div.neg(); + } + + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.iadd(num); + } + } + + return { + div: div, + mod: mod + }; + } + + if (this.negative === 0 && num.negative !== 0) { + res = this.divmod(num.neg(), mode); + + if (mode !== 'mod') { + div = res.div.neg(); + } + + return { + div: div, + mod: res.mod + }; + } + + if ((this.negative & num.negative) !== 0) { + res = this.neg().divmod(num.neg(), mode); + + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.isub(num); + } + } + + return { + div: res.div, + mod: mod + }; + } + + // Both numbers are positive at this point + + // Strip both numbers to approximate shift value + if (num.length > this.length || this.cmp(num) < 0) { + return { + div: new BN(0), + mod: this + }; + } + + // Very short reduction + if (num.length === 1) { + if (mode === 'div') { + return { + div: this.divn(num.words[0]), + mod: null + }; + } + + if (mode === 'mod') { + return { + div: null, + mod: new BN(this.modn(num.words[0])) + }; + } + + return { + div: this.divn(num.words[0]), + mod: new BN(this.modn(num.words[0])) + }; + } + + return this._wordDiv(num, mode); + }; + + // Find `this` / `num` + BN.prototype.div = function div (num) { + return this.divmod(num, 'div', false).div; + }; + + // Find `this` % `num` + BN.prototype.mod = function mod (num) { + return this.divmod(num, 'mod', false).mod; + }; + + BN.prototype.umod = function umod (num) { + return this.divmod(num, 'mod', true).mod; + }; + + // Find Round(`this` / `num`) + BN.prototype.divRound = function divRound (num) { + var dm = this.divmod(num); + + // Fast case - exact division + if (dm.mod.isZero()) return dm.div; + + var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; + + var half = num.ushrn(1); + var r2 = num.andln(1); + var cmp = mod.cmp(half); + + // Round down + if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div; + + // Round up + return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); + }; + + BN.prototype.modn = function modn (num) { + assert(num <= 0x3ffffff); + var p = (1 << 26) % num; + + var acc = 0; + for (var i = this.length - 1; i >= 0; i--) { + acc = (p * acc + (this.words[i] | 0)) % num; + } + + return acc; + }; + + // In-place division by number + BN.prototype.idivn = function idivn (num) { + assert(num <= 0x3ffffff); + + var carry = 0; + for (var i = this.length - 1; i >= 0; i--) { + var w = (this.words[i] | 0) + carry * 0x4000000; + this.words[i] = (w / num) | 0; + carry = w % num; + } + + return this.strip(); + }; + + BN.prototype.divn = function divn (num) { + return this.clone().idivn(num); + }; + + BN.prototype.egcd = function egcd (p) { + assert(p.negative === 0); + assert(!p.isZero()); + + var x = this; + var y = p.clone(); + + if (x.negative !== 0) { + x = x.umod(p); + } else { + x = x.clone(); + } + + // A * x + B * y = x + var A = new BN(1); + var B = new BN(0); + + // C * x + D * y = y + var C = new BN(0); + var D = new BN(1); + + var g = 0; + + while (x.isEven() && y.isEven()) { + x.iushrn(1); + y.iushrn(1); + ++g; + } + + var yp = y.clone(); + var xp = x.clone(); + + while (!x.isZero()) { + for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1); + if (i > 0) { + x.iushrn(i); + while (i-- > 0) { + if (A.isOdd() || B.isOdd()) { + A.iadd(yp); + B.isub(xp); + } + + A.iushrn(1); + B.iushrn(1); + } + } + + for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); + if (j > 0) { + y.iushrn(j); + while (j-- > 0) { + if (C.isOdd() || D.isOdd()) { + C.iadd(yp); + D.isub(xp); + } + + C.iushrn(1); + D.iushrn(1); + } + } + + if (x.cmp(y) >= 0) { + x.isub(y); + A.isub(C); + B.isub(D); + } else { + y.isub(x); + C.isub(A); + D.isub(B); + } + } + + return { + a: C, + b: D, + gcd: y.iushln(g) + }; + }; + + // This is reduced incarnation of the binary EEA + // above, designated to invert members of the + // _prime_ fields F(p) at a maximal speed + BN.prototype._invmp = function _invmp (p) { + assert(p.negative === 0); + assert(!p.isZero()); + + var a = this; + var b = p.clone(); + + if (a.negative !== 0) { + a = a.umod(p); + } else { + a = a.clone(); + } + + var x1 = new BN(1); + var x2 = new BN(0); + + var delta = b.clone(); + + while (a.cmpn(1) > 0 && b.cmpn(1) > 0) { + for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1); + if (i > 0) { + a.iushrn(i); + while (i-- > 0) { + if (x1.isOdd()) { + x1.iadd(delta); + } + + x1.iushrn(1); + } + } + + for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); + if (j > 0) { + b.iushrn(j); + while (j-- > 0) { + if (x2.isOdd()) { + x2.iadd(delta); + } + + x2.iushrn(1); + } + } + + if (a.cmp(b) >= 0) { + a.isub(b); + x1.isub(x2); + } else { + b.isub(a); + x2.isub(x1); + } + } + + var res; + if (a.cmpn(1) === 0) { + res = x1; + } else { + res = x2; + } + + if (res.cmpn(0) < 0) { + res.iadd(p); + } + + return res; + }; + + BN.prototype.gcd = function gcd (num) { + if (this.isZero()) return num.abs(); + if (num.isZero()) return this.abs(); + + var a = this.clone(); + var b = num.clone(); + a.negative = 0; + b.negative = 0; + + // Remove common factor of two + for (var shift = 0; a.isEven() && b.isEven(); shift++) { + a.iushrn(1); + b.iushrn(1); + } + + do { + while (a.isEven()) { + a.iushrn(1); + } + while (b.isEven()) { + b.iushrn(1); + } + + var r = a.cmp(b); + if (r < 0) { + // Swap `a` and `b` to make `a` always bigger than `b` + var t = a; + a = b; + b = t; + } else if (r === 0 || b.cmpn(1) === 0) { + break; + } + + a.isub(b); + } while (true); + + return b.iushln(shift); + }; + + // Invert number in the field F(num) + BN.prototype.invm = function invm (num) { + return this.egcd(num).a.umod(num); + }; + + BN.prototype.isEven = function isEven () { + return (this.words[0] & 1) === 0; + }; + + BN.prototype.isOdd = function isOdd () { + return (this.words[0] & 1) === 1; + }; + + // And first word and num + BN.prototype.andln = function andln (num) { + return this.words[0] & num; + }; + + // Increment at the bit position in-line + BN.prototype.bincn = function bincn (bit) { + assert(typeof bit === 'number'); + var r = bit % 26; + var s = (bit - r) / 26; + var q = 1 << r; + + // Fast case: bit is much higher than all existing words + if (this.length <= s) { + this._expand(s + 1); + this.words[s] |= q; + return this; + } + + // Add bit and propagate, if needed + var carry = q; + for (var i = s; carry !== 0 && i < this.length; i++) { + var w = this.words[i] | 0; + w += carry; + carry = w >>> 26; + w &= 0x3ffffff; + this.words[i] = w; + } + if (carry !== 0) { + this.words[i] = carry; + this.length++; + } + return this; + }; + + BN.prototype.isZero = function isZero () { + return this.length === 1 && this.words[0] === 0; + }; + + BN.prototype.cmpn = function cmpn (num) { + var negative = num < 0; + + if (this.negative !== 0 && !negative) return -1; + if (this.negative === 0 && negative) return 1; + + this.strip(); + + var res; + if (this.length > 1) { + res = 1; + } else { + if (negative) { + num = -num; + } + + assert(num <= 0x3ffffff, 'Number is too big'); + + var w = this.words[0] | 0; + res = w === num ? 0 : w < num ? -1 : 1; + } + if (this.negative !== 0) return -res | 0; + return res; + }; + + // Compare two numbers and return: + // 1 - if `this` > `num` + // 0 - if `this` == `num` + // -1 - if `this` < `num` + BN.prototype.cmp = function cmp (num) { + if (this.negative !== 0 && num.negative === 0) return -1; + if (this.negative === 0 && num.negative !== 0) return 1; + + var res = this.ucmp(num); + if (this.negative !== 0) return -res | 0; + return res; + }; + + // Unsigned comparison + BN.prototype.ucmp = function ucmp (num) { + // At this point both numbers have the same sign + if (this.length > num.length) return 1; + if (this.length < num.length) return -1; + + var res = 0; + for (var i = this.length - 1; i >= 0; i--) { + var a = this.words[i] | 0; + var b = num.words[i] | 0; + + if (a === b) continue; + if (a < b) { + res = -1; + } else if (a > b) { + res = 1; + } + break; + } + return res; + }; + + BN.prototype.gtn = function gtn (num) { + return this.cmpn(num) === 1; + }; + + BN.prototype.gt = function gt (num) { + return this.cmp(num) === 1; + }; + + BN.prototype.gten = function gten (num) { + return this.cmpn(num) >= 0; + }; + + BN.prototype.gte = function gte (num) { + return this.cmp(num) >= 0; + }; + + BN.prototype.ltn = function ltn (num) { + return this.cmpn(num) === -1; + }; + + BN.prototype.lt = function lt (num) { + return this.cmp(num) === -1; + }; + + BN.prototype.lten = function lten (num) { + return this.cmpn(num) <= 0; + }; + + BN.prototype.lte = function lte (num) { + return this.cmp(num) <= 0; + }; + + BN.prototype.eqn = function eqn (num) { + return this.cmpn(num) === 0; + }; + + BN.prototype.eq = function eq (num) { + return this.cmp(num) === 0; + }; + + // + // A reduce context, could be using montgomery or something better, depending + // on the `m` itself. + // + BN.red = function red (num) { + return new Red(num); + }; + + BN.prototype.toRed = function toRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + assert(this.negative === 0, 'red works only with positives'); + return ctx.convertTo(this)._forceRed(ctx); + }; + + BN.prototype.fromRed = function fromRed () { + assert(this.red, 'fromRed works only with numbers in reduction context'); + return this.red.convertFrom(this); + }; + + BN.prototype._forceRed = function _forceRed (ctx) { + this.red = ctx; + return this; + }; + + BN.prototype.forceRed = function forceRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + return this._forceRed(ctx); + }; + + BN.prototype.redAdd = function redAdd (num) { + assert(this.red, 'redAdd works only with red numbers'); + return this.red.add(this, num); + }; + + BN.prototype.redIAdd = function redIAdd (num) { + assert(this.red, 'redIAdd works only with red numbers'); + return this.red.iadd(this, num); + }; + + BN.prototype.redSub = function redSub (num) { + assert(this.red, 'redSub works only with red numbers'); + return this.red.sub(this, num); + }; + + BN.prototype.redISub = function redISub (num) { + assert(this.red, 'redISub works only with red numbers'); + return this.red.isub(this, num); + }; + + BN.prototype.redShl = function redShl (num) { + assert(this.red, 'redShl works only with red numbers'); + return this.red.shl(this, num); + }; + + BN.prototype.redMul = function redMul (num) { + assert(this.red, 'redMul works only with red numbers'); + this.red._verify2(this, num); + return this.red.mul(this, num); + }; + + BN.prototype.redIMul = function redIMul (num) { + assert(this.red, 'redMul works only with red numbers'); + this.red._verify2(this, num); + return this.red.imul(this, num); + }; + + BN.prototype.redSqr = function redSqr () { + assert(this.red, 'redSqr works only with red numbers'); + this.red._verify1(this); + return this.red.sqr(this); + }; + + BN.prototype.redISqr = function redISqr () { + assert(this.red, 'redISqr works only with red numbers'); + this.red._verify1(this); + return this.red.isqr(this); + }; + + // Square root over p + BN.prototype.redSqrt = function redSqrt () { + assert(this.red, 'redSqrt works only with red numbers'); + this.red._verify1(this); + return this.red.sqrt(this); + }; + + BN.prototype.redInvm = function redInvm () { + assert(this.red, 'redInvm works only with red numbers'); + this.red._verify1(this); + return this.red.invm(this); + }; + + // Return negative clone of `this` % `red modulo` + BN.prototype.redNeg = function redNeg () { + assert(this.red, 'redNeg works only with red numbers'); + this.red._verify1(this); + return this.red.neg(this); + }; + + BN.prototype.redPow = function redPow (num) { + assert(this.red && !num.red, 'redPow(normalNum)'); + this.red._verify1(this); + return this.red.pow(this, num); + }; + + // Prime numbers with efficient reduction + var primes = { + k256: null, + p224: null, + p192: null, + p25519: null + }; + + // Pseudo-Mersenne prime + function MPrime (name, p) { + // P = 2 ^ N - K + this.name = name; + this.p = new BN(p, 16); + this.n = this.p.bitLength(); + this.k = new BN(1).iushln(this.n).isub(this.p); + + this.tmp = this._tmp(); + } + + MPrime.prototype._tmp = function _tmp () { + var tmp = new BN(null); + tmp.words = new Array(Math.ceil(this.n / 13)); + return tmp; + }; + + MPrime.prototype.ireduce = function ireduce (num) { + // Assumes that `num` is less than `P^2` + // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P) + var r = num; + var rlen; + + do { + this.split(r, this.tmp); + r = this.imulK(r); + r = r.iadd(this.tmp); + rlen = r.bitLength(); + } while (rlen > this.n); + + var cmp = rlen < this.n ? -1 : r.ucmp(this.p); + if (cmp === 0) { + r.words[0] = 0; + r.length = 1; + } else if (cmp > 0) { + r.isub(this.p); + } else { + r.strip(); + } + + return r; + }; + + MPrime.prototype.split = function split (input, out) { + input.iushrn(this.n, 0, out); + }; + + MPrime.prototype.imulK = function imulK (num) { + return num.imul(this.k); + }; + + function K256 () { + MPrime.call( + this, + 'k256', + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); + } + inherits(K256, MPrime); + + K256.prototype.split = function split (input, output) { + // 256 = 9 * 26 + 22 + var mask = 0x3fffff; + + var outLen = Math.min(input.length, 9); + for (var i = 0; i < outLen; i++) { + output.words[i] = input.words[i]; + } + output.length = outLen; + + if (input.length <= 9) { + input.words[0] = 0; + input.length = 1; + return; + } + + // Shift by 9 limbs + var prev = input.words[9]; + output.words[output.length++] = prev & mask; + + for (i = 10; i < input.length; i++) { + var next = input.words[i] | 0; + input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22); + prev = next; + } + prev >>>= 22; + input.words[i - 10] = prev; + if (prev === 0 && input.length > 10) { + input.length -= 10; + } else { + input.length -= 9; + } + }; + + K256.prototype.imulK = function imulK (num) { + // K = 0x1000003d1 = [ 0x40, 0x3d1 ] + num.words[num.length] = 0; + num.words[num.length + 1] = 0; + num.length += 2; + + // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390 + var lo = 0; + for (var i = 0; i < num.length; i++) { + var w = num.words[i] | 0; + lo += w * 0x3d1; + num.words[i] = lo & 0x3ffffff; + lo = w * 0x40 + ((lo / 0x4000000) | 0); + } + + // Fast length reduction + if (num.words[num.length - 1] === 0) { + num.length--; + if (num.words[num.length - 1] === 0) { + num.length--; + } + } + return num; + }; + + function P224 () { + MPrime.call( + this, + 'p224', + 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); + } + inherits(P224, MPrime); + + function P192 () { + MPrime.call( + this, + 'p192', + 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); + } + inherits(P192, MPrime); + + function P25519 () { + // 2 ^ 255 - 19 + MPrime.call( + this, + '25519', + '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed'); + } + inherits(P25519, MPrime); + + P25519.prototype.imulK = function imulK (num) { + // K = 0x13 + var carry = 0; + for (var i = 0; i < num.length; i++) { + var hi = (num.words[i] | 0) * 0x13 + carry; + var lo = hi & 0x3ffffff; + hi >>>= 26; + + num.words[i] = lo; + carry = hi; + } + if (carry !== 0) { + num.words[num.length++] = carry; + } + return num; + }; + + // Exported mostly for testing purposes, use plain name instead + BN._prime = function prime (name) { + // Cached version of prime + if (primes[name]) return primes[name]; + + var prime; + if (name === 'k256') { + prime = new K256(); + } else if (name === 'p224') { + prime = new P224(); + } else if (name === 'p192') { + prime = new P192(); + } else if (name === 'p25519') { + prime = new P25519(); + } else { + throw new Error('Unknown prime ' + name); + } + primes[name] = prime; + + return prime; + }; + + // + // Base reduction engine + // + function Red (m) { + if (typeof m === 'string') { + var prime = BN._prime(m); + this.m = prime.p; + this.prime = prime; + } else { + assert(m.gtn(1), 'modulus must be greater than 1'); + this.m = m; + this.prime = null; + } + } + + Red.prototype._verify1 = function _verify1 (a) { + assert(a.negative === 0, 'red works only with positives'); + assert(a.red, 'red works only with red numbers'); + }; + + Red.prototype._verify2 = function _verify2 (a, b) { + assert((a.negative | b.negative) === 0, 'red works only with positives'); + assert(a.red && a.red === b.red, + 'red works only with red numbers'); + }; + + Red.prototype.imod = function imod (a) { + if (this.prime) return this.prime.ireduce(a)._forceRed(this); + return a.umod(this.m)._forceRed(this); + }; + + Red.prototype.neg = function neg (a) { + if (a.isZero()) { + return a.clone(); + } + + return this.m.sub(a)._forceRed(this); + }; + + Red.prototype.add = function add (a, b) { + this._verify2(a, b); + + var res = a.add(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res._forceRed(this); + }; + + Red.prototype.iadd = function iadd (a, b) { + this._verify2(a, b); + + var res = a.iadd(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res; + }; + + Red.prototype.sub = function sub (a, b) { + this._verify2(a, b); + + var res = a.sub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res._forceRed(this); + }; + + Red.prototype.isub = function isub (a, b) { + this._verify2(a, b); + + var res = a.isub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res; + }; + + Red.prototype.shl = function shl (a, num) { + this._verify1(a); + return this.imod(a.ushln(num)); + }; + + Red.prototype.imul = function imul (a, b) { + this._verify2(a, b); + return this.imod(a.imul(b)); + }; + + Red.prototype.mul = function mul (a, b) { + this._verify2(a, b); + return this.imod(a.mul(b)); + }; + + Red.prototype.isqr = function isqr (a) { + return this.imul(a, a.clone()); + }; + + Red.prototype.sqr = function sqr (a) { + return this.mul(a, a); + }; + + Red.prototype.sqrt = function sqrt (a) { + if (a.isZero()) return a.clone(); + + var mod3 = this.m.andln(3); + assert(mod3 % 2 === 1); + + // Fast case + if (mod3 === 3) { + var pow = this.m.add(new BN(1)).iushrn(2); + return this.pow(a, pow); + } + + // Tonelli-Shanks algorithm (Totally unoptimized and slow) + // + // Find Q and S, that Q * 2 ^ S = (P - 1) + var q = this.m.subn(1); + var s = 0; + while (!q.isZero() && q.andln(1) === 0) { + s++; + q.iushrn(1); + } + assert(!q.isZero()); + + var one = new BN(1).toRed(this); + var nOne = one.redNeg(); + + // Find quadratic non-residue + // NOTE: Max is such because of generalized Riemann hypothesis. + var lpow = this.m.subn(1).iushrn(1); + var z = this.m.bitLength(); + z = new BN(2 * z * z).toRed(this); + + while (this.pow(z, lpow).cmp(nOne) !== 0) { + z.redIAdd(nOne); + } + + var c = this.pow(z, q); + var r = this.pow(a, q.addn(1).iushrn(1)); + var t = this.pow(a, q); + var m = s; + while (t.cmp(one) !== 0) { + var tmp = t; + for (var i = 0; tmp.cmp(one) !== 0; i++) { + tmp = tmp.redSqr(); + } + assert(i < m); + var b = this.pow(c, new BN(1).iushln(m - i - 1)); + + r = r.redMul(b); + c = b.redSqr(); + t = t.redMul(c); + m = i; + } + + return r; + }; + + Red.prototype.invm = function invm (a) { + var inv = a._invmp(this.m); + if (inv.negative !== 0) { + inv.negative = 0; + return this.imod(inv).redNeg(); + } else { + return this.imod(inv); + } + }; + + Red.prototype.pow = function pow (a, num) { + if (num.isZero()) return new BN(1); + if (num.cmpn(1) === 0) return a.clone(); + + var windowSize = 4; + var wnd = new Array(1 << windowSize); + wnd[0] = new BN(1).toRed(this); + wnd[1] = a; + for (var i = 2; i < wnd.length; i++) { + wnd[i] = this.mul(wnd[i - 1], a); + } + + var res = wnd[0]; + var current = 0; + var currentLen = 0; + var start = num.bitLength() % 26; + if (start === 0) { + start = 26; + } + + for (i = num.length - 1; i >= 0; i--) { + var word = num.words[i]; + for (var j = start - 1; j >= 0; j--) { + var bit = (word >> j) & 1; + if (res !== wnd[0]) { + res = this.sqr(res); + } + + if (bit === 0 && current === 0) { + currentLen = 0; + continue; + } + + current <<= 1; + current |= bit; + currentLen++; + if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; + + res = this.mul(res, wnd[current]); + currentLen = 0; + current = 0; + } + start = 26; + } + + return res; + }; + + Red.prototype.convertTo = function convertTo (num) { + var r = num.umod(this.m); + + return r === num ? r.clone() : r; + }; + + Red.prototype.convertFrom = function convertFrom (num) { + var res = num.clone(); + res.red = null; + return res; + }; + + // + // Montgomery method engine + // + + BN.mont = function mont (num) { + return new Mont(num); + }; + + function Mont (m) { + Red.call(this, m); + + this.shift = this.m.bitLength(); + if (this.shift % 26 !== 0) { + this.shift += 26 - (this.shift % 26); + } + + this.r = new BN(1).iushln(this.shift); + this.r2 = this.imod(this.r.sqr()); + this.rinv = this.r._invmp(this.m); + + this.minv = this.rinv.mul(this.r).isubn(1).div(this.m); + this.minv = this.minv.umod(this.r); + this.minv = this.r.sub(this.minv); + } + inherits(Mont, Red); + + Mont.prototype.convertTo = function convertTo (num) { + return this.imod(num.ushln(this.shift)); + }; + + Mont.prototype.convertFrom = function convertFrom (num) { + var r = this.imod(num.mul(this.rinv)); + r.red = null; + return r; + }; + + Mont.prototype.imul = function imul (a, b) { + if (a.isZero() || b.isZero()) { + a.words[0] = 0; + a.length = 1; + return a; + } + + var t = a.imul(b); + var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); + var u = t.isub(c).iushrn(this.shift); + var res = u; + + if (u.cmp(this.m) >= 0) { + res = u.isub(this.m); + } else if (u.cmpn(0) < 0) { + res = u.iadd(this.m); + } + + return res._forceRed(this); + }; + + Mont.prototype.mul = function mul (a, b) { + if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); + + var t = a.mul(b); + var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); + var u = t.isub(c).iushrn(this.shift); + var res = u; + if (u.cmp(this.m) >= 0) { + res = u.isub(this.m); + } else if (u.cmpn(0) < 0) { + res = u.iadd(this.m); + } + + return res._forceRed(this); + }; + + Mont.prototype.invm = function invm (a) { + // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R + var res = this.imod(a._invmp(this.m).mul(this.r2)); + return res._forceRed(this); + }; +})(typeof module === 'undefined' || module, this); + +},{}],17:[function(require,module,exports){ +var r; + +module.exports = function rand(len) { + if (!r) + r = new Rand(null); + + return r.generate(len); +}; + +function Rand(rand) { + this.rand = rand; +} +module.exports.Rand = Rand; + +Rand.prototype.generate = function generate(len) { + return this._rand(len); +}; + +if (typeof self === 'object') { + if (self.crypto && self.crypto.getRandomValues) { + // Modern browsers + Rand.prototype._rand = function _rand(n) { + var arr = new Uint8Array(n); + self.crypto.getRandomValues(arr); + return arr; + }; + } else if (self.msCrypto && self.msCrypto.getRandomValues) { + // IE + Rand.prototype._rand = function _rand(n) { + var arr = new Uint8Array(n); + self.msCrypto.getRandomValues(arr); + return arr; + }; + } else { + // Old junk + Rand.prototype._rand = function() { + throw new Error('Not implemented yet'); + }; + } +} else { + // Node.js or Web worker with no crypto support + try { + var crypto = require('crypto'); + + Rand.prototype._rand = function _rand(n) { + return crypto.randomBytes(n); + }; + } catch (e) { + // Emulate crypto API using randy + Rand.prototype._rand = function _rand(n) { + var res = new Uint8Array(n); + for (var i = 0; i < res.length; i++) + res[i] = this.rand.getByte(); + return res; + }; + } +} + +},{"crypto":18}],18:[function(require,module,exports){ + +},{}],19:[function(require,module,exports){ +var hash = exports; + +hash.utils = require('./hash/utils'); +hash.common = require('./hash/common'); +hash.sha = require('./hash/sha'); +hash.ripemd = require('./hash/ripemd'); +hash.hmac = require('./hash/hmac'); + +// Proxy hash functions to the main object +hash.sha1 = hash.sha.sha1; +hash.sha256 = hash.sha.sha256; +hash.sha224 = hash.sha.sha224; +hash.sha384 = hash.sha.sha384; +hash.sha512 = hash.sha.sha512; +hash.ripemd160 = hash.ripemd.ripemd160; + +},{"./hash/common":20,"./hash/hmac":21,"./hash/ripemd":22,"./hash/sha":23,"./hash/utils":24}],20:[function(require,module,exports){ +var hash = require('../hash'); +var utils = hash.utils; +var assert = utils.assert; + +function BlockHash() { + this.pending = null; + this.pendingTotal = 0; + this.blockSize = this.constructor.blockSize; + this.outSize = this.constructor.outSize; + this.hmacStrength = this.constructor.hmacStrength; + this.padLength = this.constructor.padLength / 8; + this.endian = 'big'; + + this._delta8 = this.blockSize / 8; + this._delta32 = this.blockSize / 32; +} +exports.BlockHash = BlockHash; + +BlockHash.prototype.update = function update(msg, enc) { + // Convert message to array, pad it, and join into 32bit blocks + msg = utils.toArray(msg, enc); + if (!this.pending) + this.pending = msg; + else + this.pending = this.pending.concat(msg); + this.pendingTotal += msg.length; + + // Enough data, try updating + if (this.pending.length >= this._delta8) { + msg = this.pending; + + // Process pending data in blocks + var r = msg.length % this._delta8; + this.pending = msg.slice(msg.length - r, msg.length); + if (this.pending.length === 0) + this.pending = null; + + msg = utils.join32(msg, 0, msg.length - r, this.endian); + for (var i = 0; i < msg.length; i += this._delta32) + this._update(msg, i, i + this._delta32); + } + + return this; +}; + +BlockHash.prototype.digest = function digest(enc) { + this.update(this._pad()); + assert(this.pending === null); + + return this._digest(enc); +}; + +BlockHash.prototype._pad = function pad() { + var len = this.pendingTotal; + var bytes = this._delta8; + var k = bytes - ((len + this.padLength) % bytes); + var res = new Array(k + this.padLength); + res[0] = 0x80; + for (var i = 1; i < k; i++) + res[i] = 0; + + // Append length + len <<= 3; + if (this.endian === 'big') { + for (var t = 8; t < this.padLength; t++) + res[i++] = 0; + + res[i++] = 0; + res[i++] = 0; + res[i++] = 0; + res[i++] = 0; + res[i++] = (len >>> 24) & 0xff; + res[i++] = (len >>> 16) & 0xff; + res[i++] = (len >>> 8) & 0xff; + res[i++] = len & 0xff; + } else { + res[i++] = len & 0xff; + res[i++] = (len >>> 8) & 0xff; + res[i++] = (len >>> 16) & 0xff; + res[i++] = (len >>> 24) & 0xff; + res[i++] = 0; + res[i++] = 0; + res[i++] = 0; + res[i++] = 0; + + for (var t = 8; t < this.padLength; t++) + res[i++] = 0; + } + + return res; +}; + +},{"../hash":19}],21:[function(require,module,exports){ +var hmac = exports; + +var hash = require('../hash'); +var utils = hash.utils; +var assert = utils.assert; + +function Hmac(hash, key, enc) { + if (!(this instanceof Hmac)) + return new Hmac(hash, key, enc); + this.Hash = hash; + this.blockSize = hash.blockSize / 8; + this.outSize = hash.outSize / 8; + this.inner = null; + this.outer = null; + + this._init(utils.toArray(key, enc)); +} +module.exports = Hmac; + +Hmac.prototype._init = function init(key) { + // Shorten key, if needed + if (key.length > this.blockSize) + key = new this.Hash().update(key).digest(); + assert(key.length <= this.blockSize); + + // Add padding to key + for (var i = key.length; i < this.blockSize; i++) + key.push(0); + + for (var i = 0; i < key.length; i++) + key[i] ^= 0x36; + this.inner = new this.Hash().update(key); + + // 0x36 ^ 0x5c = 0x6a + for (var i = 0; i < key.length; i++) + key[i] ^= 0x6a; + this.outer = new this.Hash().update(key); +}; + +Hmac.prototype.update = function update(msg, enc) { + this.inner.update(msg, enc); + return this; +}; + +Hmac.prototype.digest = function digest(enc) { + this.outer.update(this.inner.digest()); + return this.outer.digest(enc); +}; + +},{"../hash":19}],22:[function(require,module,exports){ +var hash = require('../hash'); +var utils = hash.utils; + +var rotl32 = utils.rotl32; +var sum32 = utils.sum32; +var sum32_3 = utils.sum32_3; +var sum32_4 = utils.sum32_4; +var BlockHash = hash.common.BlockHash; + +function RIPEMD160() { + if (!(this instanceof RIPEMD160)) + return new RIPEMD160(); + + BlockHash.call(this); + + this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476, 0xc3d2e1f0 ]; + this.endian = 'little'; +} +utils.inherits(RIPEMD160, BlockHash); +exports.ripemd160 = RIPEMD160; + +RIPEMD160.blockSize = 512; +RIPEMD160.outSize = 160; +RIPEMD160.hmacStrength = 192; +RIPEMD160.padLength = 64; + +RIPEMD160.prototype._update = function update(msg, start) { + var A = this.h[0]; + var B = this.h[1]; + var C = this.h[2]; + var D = this.h[3]; + var E = this.h[4]; + var Ah = A; + var Bh = B; + var Ch = C; + var Dh = D; + var Eh = E; + for (var j = 0; j < 80; j++) { + var T = sum32( + rotl32( + sum32_4(A, f(j, B, C, D), msg[r[j] + start], K(j)), + s[j]), + E); + A = E; + E = D; + D = rotl32(C, 10); + C = B; + B = T; + T = sum32( + rotl32( + sum32_4(Ah, f(79 - j, Bh, Ch, Dh), msg[rh[j] + start], Kh(j)), + sh[j]), + Eh); + Ah = Eh; + Eh = Dh; + Dh = rotl32(Ch, 10); + Ch = Bh; + Bh = T; + } + T = sum32_3(this.h[1], C, Dh); + this.h[1] = sum32_3(this.h[2], D, Eh); + this.h[2] = sum32_3(this.h[3], E, Ah); + this.h[3] = sum32_3(this.h[4], A, Bh); + this.h[4] = sum32_3(this.h[0], B, Ch); + this.h[0] = T; +}; + +RIPEMD160.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h, 'little'); + else + return utils.split32(this.h, 'little'); +}; + +function f(j, x, y, z) { + if (j <= 15) + return x ^ y ^ z; + else if (j <= 31) + return (x & y) | ((~x) & z); + else if (j <= 47) + return (x | (~y)) ^ z; + else if (j <= 63) + return (x & z) | (y & (~z)); + else + return x ^ (y | (~z)); +} + +function K(j) { + if (j <= 15) + return 0x00000000; + else if (j <= 31) + return 0x5a827999; + else if (j <= 47) + return 0x6ed9eba1; + else if (j <= 63) + return 0x8f1bbcdc; + else + return 0xa953fd4e; +} + +function Kh(j) { + if (j <= 15) + return 0x50a28be6; + else if (j <= 31) + return 0x5c4dd124; + else if (j <= 47) + return 0x6d703ef3; + else if (j <= 63) + return 0x7a6d76e9; + else + return 0x00000000; +} + +var r = [ + 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, + 7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8, + 3, 10, 14, 4, 9, 15, 8, 1, 2, 7, 0, 6, 13, 11, 5, 12, + 1, 9, 11, 10, 0, 8, 12, 4, 13, 3, 7, 15, 14, 5, 6, 2, + 4, 0, 5, 9, 7, 12, 2, 10, 14, 1, 3, 8, 11, 6, 15, 13 +]; + +var rh = [ + 5, 14, 7, 0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12, + 6, 11, 3, 7, 0, 13, 5, 10, 14, 15, 8, 12, 4, 9, 1, 2, + 15, 5, 1, 3, 7, 14, 6, 9, 11, 8, 12, 2, 10, 0, 4, 13, + 8, 6, 4, 1, 3, 11, 15, 0, 5, 12, 2, 13, 9, 7, 10, 14, + 12, 15, 10, 4, 1, 5, 8, 7, 6, 2, 13, 14, 0, 3, 9, 11 +]; + +var s = [ + 11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8, + 7, 6, 8, 13, 11, 9, 7, 15, 7, 12, 15, 9, 11, 7, 13, 12, + 11, 13, 6, 7, 14, 9, 13, 15, 14, 8, 13, 6, 5, 12, 7, 5, + 11, 12, 14, 15, 14, 15, 9, 8, 9, 14, 5, 6, 8, 6, 5, 12, + 9, 15, 5, 11, 6, 8, 13, 12, 5, 12, 13, 14, 11, 8, 5, 6 +]; + +var sh = [ + 8, 9, 9, 11, 13, 15, 15, 5, 7, 7, 8, 11, 14, 14, 12, 6, + 9, 13, 15, 7, 12, 8, 9, 11, 7, 7, 12, 7, 6, 15, 13, 11, + 9, 7, 15, 11, 8, 6, 6, 14, 12, 13, 5, 14, 13, 13, 7, 5, + 15, 5, 8, 11, 14, 14, 6, 14, 6, 9, 12, 9, 12, 5, 15, 8, + 8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11 +]; + +},{"../hash":19}],23:[function(require,module,exports){ +var hash = require('../hash'); +var utils = hash.utils; +var assert = utils.assert; + +var rotr32 = utils.rotr32; +var rotl32 = utils.rotl32; +var sum32 = utils.sum32; +var sum32_4 = utils.sum32_4; +var sum32_5 = utils.sum32_5; +var rotr64_hi = utils.rotr64_hi; +var rotr64_lo = utils.rotr64_lo; +var shr64_hi = utils.shr64_hi; +var shr64_lo = utils.shr64_lo; +var sum64 = utils.sum64; +var sum64_hi = utils.sum64_hi; +var sum64_lo = utils.sum64_lo; +var sum64_4_hi = utils.sum64_4_hi; +var sum64_4_lo = utils.sum64_4_lo; +var sum64_5_hi = utils.sum64_5_hi; +var sum64_5_lo = utils.sum64_5_lo; +var BlockHash = hash.common.BlockHash; + +var sha256_K = [ + 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, + 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, + 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, + 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, + 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, + 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, + 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, + 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, + 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, + 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, + 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, + 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, + 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, + 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, + 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, + 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 +]; + +var sha512_K = [ + 0x428a2f98, 0xd728ae22, 0x71374491, 0x23ef65cd, + 0xb5c0fbcf, 0xec4d3b2f, 0xe9b5dba5, 0x8189dbbc, + 0x3956c25b, 0xf348b538, 0x59f111f1, 0xb605d019, + 0x923f82a4, 0xaf194f9b, 0xab1c5ed5, 0xda6d8118, + 0xd807aa98, 0xa3030242, 0x12835b01, 0x45706fbe, + 0x243185be, 0x4ee4b28c, 0x550c7dc3, 0xd5ffb4e2, + 0x72be5d74, 0xf27b896f, 0x80deb1fe, 0x3b1696b1, + 0x9bdc06a7, 0x25c71235, 0xc19bf174, 0xcf692694, + 0xe49b69c1, 0x9ef14ad2, 0xefbe4786, 0x384f25e3, + 0x0fc19dc6, 0x8b8cd5b5, 0x240ca1cc, 0x77ac9c65, + 0x2de92c6f, 0x592b0275, 0x4a7484aa, 0x6ea6e483, + 0x5cb0a9dc, 0xbd41fbd4, 0x76f988da, 0x831153b5, + 0x983e5152, 0xee66dfab, 0xa831c66d, 0x2db43210, + 0xb00327c8, 0x98fb213f, 0xbf597fc7, 0xbeef0ee4, + 0xc6e00bf3, 0x3da88fc2, 0xd5a79147, 0x930aa725, + 0x06ca6351, 0xe003826f, 0x14292967, 0x0a0e6e70, + 0x27b70a85, 0x46d22ffc, 0x2e1b2138, 0x5c26c926, + 0x4d2c6dfc, 0x5ac42aed, 0x53380d13, 0x9d95b3df, + 0x650a7354, 0x8baf63de, 0x766a0abb, 0x3c77b2a8, + 0x81c2c92e, 0x47edaee6, 0x92722c85, 0x1482353b, + 0xa2bfe8a1, 0x4cf10364, 0xa81a664b, 0xbc423001, + 0xc24b8b70, 0xd0f89791, 0xc76c51a3, 0x0654be30, + 0xd192e819, 0xd6ef5218, 0xd6990624, 0x5565a910, + 0xf40e3585, 0x5771202a, 0x106aa070, 0x32bbd1b8, + 0x19a4c116, 0xb8d2d0c8, 0x1e376c08, 0x5141ab53, + 0x2748774c, 0xdf8eeb99, 0x34b0bcb5, 0xe19b48a8, + 0x391c0cb3, 0xc5c95a63, 0x4ed8aa4a, 0xe3418acb, + 0x5b9cca4f, 0x7763e373, 0x682e6ff3, 0xd6b2b8a3, + 0x748f82ee, 0x5defb2fc, 0x78a5636f, 0x43172f60, + 0x84c87814, 0xa1f0ab72, 0x8cc70208, 0x1a6439ec, + 0x90befffa, 0x23631e28, 0xa4506ceb, 0xde82bde9, + 0xbef9a3f7, 0xb2c67915, 0xc67178f2, 0xe372532b, + 0xca273ece, 0xea26619c, 0xd186b8c7, 0x21c0c207, + 0xeada7dd6, 0xcde0eb1e, 0xf57d4f7f, 0xee6ed178, + 0x06f067aa, 0x72176fba, 0x0a637dc5, 0xa2c898a6, + 0x113f9804, 0xbef90dae, 0x1b710b35, 0x131c471b, + 0x28db77f5, 0x23047d84, 0x32caab7b, 0x40c72493, + 0x3c9ebe0a, 0x15c9bebc, 0x431d67c4, 0x9c100d4c, + 0x4cc5d4be, 0xcb3e42b6, 0x597f299c, 0xfc657e2a, + 0x5fcb6fab, 0x3ad6faec, 0x6c44198c, 0x4a475817 +]; + +var sha1_K = [ + 0x5A827999, 0x6ED9EBA1, + 0x8F1BBCDC, 0xCA62C1D6 +]; + +function SHA256() { + if (!(this instanceof SHA256)) + return new SHA256(); + + BlockHash.call(this); + this.h = [ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, + 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 ]; + this.k = sha256_K; + this.W = new Array(64); +} +utils.inherits(SHA256, BlockHash); +exports.sha256 = SHA256; + +SHA256.blockSize = 512; +SHA256.outSize = 256; +SHA256.hmacStrength = 192; +SHA256.padLength = 64; + +SHA256.prototype._update = function _update(msg, start) { + var W = this.W; + + for (var i = 0; i < 16; i++) + W[i] = msg[start + i]; + for (; i < W.length; i++) + W[i] = sum32_4(g1_256(W[i - 2]), W[i - 7], g0_256(W[i - 15]), W[i - 16]); + + var a = this.h[0]; + var b = this.h[1]; + var c = this.h[2]; + var d = this.h[3]; + var e = this.h[4]; + var f = this.h[5]; + var g = this.h[6]; + var h = this.h[7]; + + assert(this.k.length === W.length); + for (var i = 0; i < W.length; i++) { + var T1 = sum32_5(h, s1_256(e), ch32(e, f, g), this.k[i], W[i]); + var T2 = sum32(s0_256(a), maj32(a, b, c)); + h = g; + g = f; + f = e; + e = sum32(d, T1); + d = c; + c = b; + b = a; + a = sum32(T1, T2); + } + + this.h[0] = sum32(this.h[0], a); + this.h[1] = sum32(this.h[1], b); + this.h[2] = sum32(this.h[2], c); + this.h[3] = sum32(this.h[3], d); + this.h[4] = sum32(this.h[4], e); + this.h[5] = sum32(this.h[5], f); + this.h[6] = sum32(this.h[6], g); + this.h[7] = sum32(this.h[7], h); +}; + +SHA256.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h, 'big'); + else + return utils.split32(this.h, 'big'); +}; + +function SHA224() { + if (!(this instanceof SHA224)) + return new SHA224(); + + SHA256.call(this); + this.h = [ 0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, + 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4 ]; +} +utils.inherits(SHA224, SHA256); +exports.sha224 = SHA224; + +SHA224.blockSize = 512; +SHA224.outSize = 224; +SHA224.hmacStrength = 192; +SHA224.padLength = 64; + +SHA224.prototype._digest = function digest(enc) { + // Just truncate output + if (enc === 'hex') + return utils.toHex32(this.h.slice(0, 7), 'big'); + else + return utils.split32(this.h.slice(0, 7), 'big'); +}; + +function SHA512() { + if (!(this instanceof SHA512)) + return new SHA512(); + + BlockHash.call(this); + this.h = [ 0x6a09e667, 0xf3bcc908, + 0xbb67ae85, 0x84caa73b, + 0x3c6ef372, 0xfe94f82b, + 0xa54ff53a, 0x5f1d36f1, + 0x510e527f, 0xade682d1, + 0x9b05688c, 0x2b3e6c1f, + 0x1f83d9ab, 0xfb41bd6b, + 0x5be0cd19, 0x137e2179 ]; + this.k = sha512_K; + this.W = new Array(160); +} +utils.inherits(SHA512, BlockHash); +exports.sha512 = SHA512; + +SHA512.blockSize = 1024; +SHA512.outSize = 512; +SHA512.hmacStrength = 192; +SHA512.padLength = 128; + +SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) { + var W = this.W; + + // 32 x 32bit words + for (var i = 0; i < 32; i++) + W[i] = msg[start + i]; + for (; i < W.length; i += 2) { + var c0_hi = g1_512_hi(W[i - 4], W[i - 3]); // i - 2 + var c0_lo = g1_512_lo(W[i - 4], W[i - 3]); + var c1_hi = W[i - 14]; // i - 7 + var c1_lo = W[i - 13]; + var c2_hi = g0_512_hi(W[i - 30], W[i - 29]); // i - 15 + var c2_lo = g0_512_lo(W[i - 30], W[i - 29]); + var c3_hi = W[i - 32]; // i - 16 + var c3_lo = W[i - 31]; + + W[i] = sum64_4_hi(c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo); + W[i + 1] = sum64_4_lo(c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo); + } +}; + +SHA512.prototype._update = function _update(msg, start) { + this._prepareBlock(msg, start); + + var W = this.W; + + var ah = this.h[0]; + var al = this.h[1]; + var bh = this.h[2]; + var bl = this.h[3]; + var ch = this.h[4]; + var cl = this.h[5]; + var dh = this.h[6]; + var dl = this.h[7]; + var eh = this.h[8]; + var el = this.h[9]; + var fh = this.h[10]; + var fl = this.h[11]; + var gh = this.h[12]; + var gl = this.h[13]; + var hh = this.h[14]; + var hl = this.h[15]; + + assert(this.k.length === W.length); + for (var i = 0; i < W.length; i += 2) { + var c0_hi = hh; + var c0_lo = hl; + var c1_hi = s1_512_hi(eh, el); + var c1_lo = s1_512_lo(eh, el); + var c2_hi = ch64_hi(eh, el, fh, fl, gh, gl); + var c2_lo = ch64_lo(eh, el, fh, fl, gh, gl); + var c3_hi = this.k[i]; + var c3_lo = this.k[i + 1]; + var c4_hi = W[i]; + var c4_lo = W[i + 1]; + + var T1_hi = sum64_5_hi(c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo, + c4_hi, c4_lo); + var T1_lo = sum64_5_lo(c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo, + c4_hi, c4_lo); + + var c0_hi = s0_512_hi(ah, al); + var c0_lo = s0_512_lo(ah, al); + var c1_hi = maj64_hi(ah, al, bh, bl, ch, cl); + var c1_lo = maj64_lo(ah, al, bh, bl, ch, cl); + + var T2_hi = sum64_hi(c0_hi, c0_lo, c1_hi, c1_lo); + var T2_lo = sum64_lo(c0_hi, c0_lo, c1_hi, c1_lo); + + hh = gh; + hl = gl; + + gh = fh; + gl = fl; + + fh = eh; + fl = el; + + eh = sum64_hi(dh, dl, T1_hi, T1_lo); + el = sum64_lo(dl, dl, T1_hi, T1_lo); + + dh = ch; + dl = cl; + + ch = bh; + cl = bl; + + bh = ah; + bl = al; + + ah = sum64_hi(T1_hi, T1_lo, T2_hi, T2_lo); + al = sum64_lo(T1_hi, T1_lo, T2_hi, T2_lo); + } + + sum64(this.h, 0, ah, al); + sum64(this.h, 2, bh, bl); + sum64(this.h, 4, ch, cl); + sum64(this.h, 6, dh, dl); + sum64(this.h, 8, eh, el); + sum64(this.h, 10, fh, fl); + sum64(this.h, 12, gh, gl); + sum64(this.h, 14, hh, hl); +}; + +SHA512.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h, 'big'); + else + return utils.split32(this.h, 'big'); +}; + +function SHA384() { + if (!(this instanceof SHA384)) + return new SHA384(); + + SHA512.call(this); + this.h = [ 0xcbbb9d5d, 0xc1059ed8, + 0x629a292a, 0x367cd507, + 0x9159015a, 0x3070dd17, + 0x152fecd8, 0xf70e5939, + 0x67332667, 0xffc00b31, + 0x8eb44a87, 0x68581511, + 0xdb0c2e0d, 0x64f98fa7, + 0x47b5481d, 0xbefa4fa4 ]; +} +utils.inherits(SHA384, SHA512); +exports.sha384 = SHA384; + +SHA384.blockSize = 1024; +SHA384.outSize = 384; +SHA384.hmacStrength = 192; +SHA384.padLength = 128; + +SHA384.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h.slice(0, 12), 'big'); + else + return utils.split32(this.h.slice(0, 12), 'big'); +}; + +function SHA1() { + if (!(this instanceof SHA1)) + return new SHA1(); + + BlockHash.call(this); + this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, + 0x10325476, 0xc3d2e1f0 ]; + this.W = new Array(80); +} + +utils.inherits(SHA1, BlockHash); +exports.sha1 = SHA1; + +SHA1.blockSize = 512; +SHA1.outSize = 160; +SHA1.hmacStrength = 80; +SHA1.padLength = 64; + +SHA1.prototype._update = function _update(msg, start) { + var W = this.W; + + for (var i = 0; i < 16; i++) + W[i] = msg[start + i]; + + for(; i < W.length; i++) + W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1); + + var a = this.h[0]; + var b = this.h[1]; + var c = this.h[2]; + var d = this.h[3]; + var e = this.h[4]; + + for (var i = 0; i < W.length; i++) { + var s = ~~(i / 20); + var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]); + e = d; + d = c; + c = rotl32(b, 30); + b = a; + a = t; + } + + this.h[0] = sum32(this.h[0], a); + this.h[1] = sum32(this.h[1], b); + this.h[2] = sum32(this.h[2], c); + this.h[3] = sum32(this.h[3], d); + this.h[4] = sum32(this.h[4], e); +}; + +SHA1.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h, 'big'); + else + return utils.split32(this.h, 'big'); +}; + +function ch32(x, y, z) { + return (x & y) ^ ((~x) & z); +} + +function maj32(x, y, z) { + return (x & y) ^ (x & z) ^ (y & z); +} + +function p32(x, y, z) { + return x ^ y ^ z; +} + +function s0_256(x) { + return rotr32(x, 2) ^ rotr32(x, 13) ^ rotr32(x, 22); +} + +function s1_256(x) { + return rotr32(x, 6) ^ rotr32(x, 11) ^ rotr32(x, 25); +} + +function g0_256(x) { + return rotr32(x, 7) ^ rotr32(x, 18) ^ (x >>> 3); +} + +function g1_256(x) { + return rotr32(x, 17) ^ rotr32(x, 19) ^ (x >>> 10); +} + +function ft_1(s, x, y, z) { + if (s === 0) + return ch32(x, y, z); + if (s === 1 || s === 3) + return p32(x, y, z); + if (s === 2) + return maj32(x, y, z); +} + +function ch64_hi(xh, xl, yh, yl, zh, zl) { + var r = (xh & yh) ^ ((~xh) & zh); + if (r < 0) + r += 0x100000000; + return r; +} + +function ch64_lo(xh, xl, yh, yl, zh, zl) { + var r = (xl & yl) ^ ((~xl) & zl); + if (r < 0) + r += 0x100000000; + return r; +} + +function maj64_hi(xh, xl, yh, yl, zh, zl) { + var r = (xh & yh) ^ (xh & zh) ^ (yh & zh); + if (r < 0) + r += 0x100000000; + return r; +} + +function maj64_lo(xh, xl, yh, yl, zh, zl) { + var r = (xl & yl) ^ (xl & zl) ^ (yl & zl); + if (r < 0) + r += 0x100000000; + return r; +} + +function s0_512_hi(xh, xl) { + var c0_hi = rotr64_hi(xh, xl, 28); + var c1_hi = rotr64_hi(xl, xh, 2); // 34 + var c2_hi = rotr64_hi(xl, xh, 7); // 39 + + var r = c0_hi ^ c1_hi ^ c2_hi; + if (r < 0) + r += 0x100000000; + return r; +} + +function s0_512_lo(xh, xl) { + var c0_lo = rotr64_lo(xh, xl, 28); + var c1_lo = rotr64_lo(xl, xh, 2); // 34 + var c2_lo = rotr64_lo(xl, xh, 7); // 39 + + var r = c0_lo ^ c1_lo ^ c2_lo; + if (r < 0) + r += 0x100000000; + return r; +} + +function s1_512_hi(xh, xl) { + var c0_hi = rotr64_hi(xh, xl, 14); + var c1_hi = rotr64_hi(xh, xl, 18); + var c2_hi = rotr64_hi(xl, xh, 9); // 41 + + var r = c0_hi ^ c1_hi ^ c2_hi; + if (r < 0) + r += 0x100000000; + return r; +} + +function s1_512_lo(xh, xl) { + var c0_lo = rotr64_lo(xh, xl, 14); + var c1_lo = rotr64_lo(xh, xl, 18); + var c2_lo = rotr64_lo(xl, xh, 9); // 41 + + var r = c0_lo ^ c1_lo ^ c2_lo; + if (r < 0) + r += 0x100000000; + return r; +} + +function g0_512_hi(xh, xl) { + var c0_hi = rotr64_hi(xh, xl, 1); + var c1_hi = rotr64_hi(xh, xl, 8); + var c2_hi = shr64_hi(xh, xl, 7); + + var r = c0_hi ^ c1_hi ^ c2_hi; + if (r < 0) + r += 0x100000000; + return r; +} + +function g0_512_lo(xh, xl) { + var c0_lo = rotr64_lo(xh, xl, 1); + var c1_lo = rotr64_lo(xh, xl, 8); + var c2_lo = shr64_lo(xh, xl, 7); + + var r = c0_lo ^ c1_lo ^ c2_lo; + if (r < 0) + r += 0x100000000; + return r; +} + +function g1_512_hi(xh, xl) { + var c0_hi = rotr64_hi(xh, xl, 19); + var c1_hi = rotr64_hi(xl, xh, 29); // 61 + var c2_hi = shr64_hi(xh, xl, 6); + + var r = c0_hi ^ c1_hi ^ c2_hi; + if (r < 0) + r += 0x100000000; + return r; +} + +function g1_512_lo(xh, xl) { + var c0_lo = rotr64_lo(xh, xl, 19); + var c1_lo = rotr64_lo(xl, xh, 29); // 61 + var c2_lo = shr64_lo(xh, xl, 6); + + var r = c0_lo ^ c1_lo ^ c2_lo; + if (r < 0) + r += 0x100000000; + return r; +} + +},{"../hash":19}],24:[function(require,module,exports){ +var utils = exports; +var inherits = require('inherits'); + +function toArray(msg, enc) { + if (Array.isArray(msg)) + return msg.slice(); + if (!msg) + return []; + var res = []; + if (typeof msg === 'string') { + if (!enc) { + for (var i = 0; i < msg.length; i++) { + var c = msg.charCodeAt(i); + var hi = c >> 8; + var lo = c & 0xff; + if (hi) + res.push(hi, lo); + else + res.push(lo); + } + } else if (enc === 'hex') { + msg = msg.replace(/[^a-z0-9]+/ig, ''); + if (msg.length % 2 !== 0) + msg = '0' + msg; + for (var i = 0; i < msg.length; i += 2) + res.push(parseInt(msg[i] + msg[i + 1], 16)); + } + } else { + for (var i = 0; i < msg.length; i++) + res[i] = msg[i] | 0; + } + return res; +} +utils.toArray = toArray; + +function toHex(msg) { + var res = ''; + for (var i = 0; i < msg.length; i++) + res += zero2(msg[i].toString(16)); + return res; +} +utils.toHex = toHex; + +function htonl(w) { + var res = (w >>> 24) | + ((w >>> 8) & 0xff00) | + ((w << 8) & 0xff0000) | + ((w & 0xff) << 24); + return res >>> 0; +} +utils.htonl = htonl; + +function toHex32(msg, endian) { + var res = ''; + for (var i = 0; i < msg.length; i++) { + var w = msg[i]; + if (endian === 'little') + w = htonl(w); + res += zero8(w.toString(16)); + } + return res; +} +utils.toHex32 = toHex32; + +function zero2(word) { + if (word.length === 1) + return '0' + word; + else + return word; +} +utils.zero2 = zero2; + +function zero8(word) { + if (word.length === 7) + return '0' + word; + else if (word.length === 6) + return '00' + word; + else if (word.length === 5) + return '000' + word; + else if (word.length === 4) + return '0000' + word; + else if (word.length === 3) + return '00000' + word; + else if (word.length === 2) + return '000000' + word; + else if (word.length === 1) + return '0000000' + word; + else + return word; +} +utils.zero8 = zero8; + +function join32(msg, start, end, endian) { + var len = end - start; + assert(len % 4 === 0); + var res = new Array(len / 4); + for (var i = 0, k = start; i < res.length; i++, k += 4) { + var w; + if (endian === 'big') + w = (msg[k] << 24) | (msg[k + 1] << 16) | (msg[k + 2] << 8) | msg[k + 3]; + else + w = (msg[k + 3] << 24) | (msg[k + 2] << 16) | (msg[k + 1] << 8) | msg[k]; + res[i] = w >>> 0; + } + return res; +} +utils.join32 = join32; + +function split32(msg, endian) { + var res = new Array(msg.length * 4); + for (var i = 0, k = 0; i < msg.length; i++, k += 4) { + var m = msg[i]; + if (endian === 'big') { + res[k] = m >>> 24; + res[k + 1] = (m >>> 16) & 0xff; + res[k + 2] = (m >>> 8) & 0xff; + res[k + 3] = m & 0xff; + } else { + res[k + 3] = m >>> 24; + res[k + 2] = (m >>> 16) & 0xff; + res[k + 1] = (m >>> 8) & 0xff; + res[k] = m & 0xff; + } + } + return res; +} +utils.split32 = split32; + +function rotr32(w, b) { + return (w >>> b) | (w << (32 - b)); +} +utils.rotr32 = rotr32; + +function rotl32(w, b) { + return (w << b) | (w >>> (32 - b)); +} +utils.rotl32 = rotl32; + +function sum32(a, b) { + return (a + b) >>> 0; +} +utils.sum32 = sum32; + +function sum32_3(a, b, c) { + return (a + b + c) >>> 0; +} +utils.sum32_3 = sum32_3; + +function sum32_4(a, b, c, d) { + return (a + b + c + d) >>> 0; +} +utils.sum32_4 = sum32_4; + +function sum32_5(a, b, c, d, e) { + return (a + b + c + d + e) >>> 0; +} +utils.sum32_5 = sum32_5; + +function assert(cond, msg) { + if (!cond) + throw new Error(msg || 'Assertion failed'); +} +utils.assert = assert; + +utils.inherits = inherits; + +function sum64(buf, pos, ah, al) { + var bh = buf[pos]; + var bl = buf[pos + 1]; + + var lo = (al + bl) >>> 0; + var hi = (lo < al ? 1 : 0) + ah + bh; + buf[pos] = hi >>> 0; + buf[pos + 1] = lo; +} +exports.sum64 = sum64; + +function sum64_hi(ah, al, bh, bl) { + var lo = (al + bl) >>> 0; + var hi = (lo < al ? 1 : 0) + ah + bh; + return hi >>> 0; +}; +exports.sum64_hi = sum64_hi; + +function sum64_lo(ah, al, bh, bl) { + var lo = al + bl; + return lo >>> 0; +}; +exports.sum64_lo = sum64_lo; + +function sum64_4_hi(ah, al, bh, bl, ch, cl, dh, dl) { + var carry = 0; + var lo = al; + lo = (lo + bl) >>> 0; + carry += lo < al ? 1 : 0; + lo = (lo + cl) >>> 0; + carry += lo < cl ? 1 : 0; + lo = (lo + dl) >>> 0; + carry += lo < dl ? 1 : 0; + + var hi = ah + bh + ch + dh + carry; + return hi >>> 0; +}; +exports.sum64_4_hi = sum64_4_hi; + +function sum64_4_lo(ah, al, bh, bl, ch, cl, dh, dl) { + var lo = al + bl + cl + dl; + return lo >>> 0; +}; +exports.sum64_4_lo = sum64_4_lo; + +function sum64_5_hi(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { + var carry = 0; + var lo = al; + lo = (lo + bl) >>> 0; + carry += lo < al ? 1 : 0; + lo = (lo + cl) >>> 0; + carry += lo < cl ? 1 : 0; + lo = (lo + dl) >>> 0; + carry += lo < dl ? 1 : 0; + lo = (lo + el) >>> 0; + carry += lo < el ? 1 : 0; + + var hi = ah + bh + ch + dh + eh + carry; + return hi >>> 0; +}; +exports.sum64_5_hi = sum64_5_hi; + +function sum64_5_lo(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { + var lo = al + bl + cl + dl + el; + + return lo >>> 0; +}; +exports.sum64_5_lo = sum64_5_lo; + +function rotr64_hi(ah, al, num) { + var r = (al << (32 - num)) | (ah >>> num); + return r >>> 0; +}; +exports.rotr64_hi = rotr64_hi; + +function rotr64_lo(ah, al, num) { + var r = (ah << (32 - num)) | (al >>> num); + return r >>> 0; +}; +exports.rotr64_lo = rotr64_lo; + +function shr64_hi(ah, al, num) { + return ah >>> num; +}; +exports.shr64_hi = shr64_hi; + +function shr64_lo(ah, al, num) { + var r = (ah << (32 - num)) | (al >>> num); + return r >>> 0; +}; +exports.shr64_lo = shr64_lo; + +},{"inherits":27}],25:[function(require,module,exports){ +'use strict'; + +var hash = require('hash.js'); +var utils = require('minimalistic-crypto-utils'); +var assert = require('minimalistic-assert'); + +function HmacDRBG(options) { + if (!(this instanceof HmacDRBG)) + return new HmacDRBG(options); + this.hash = options.hash; + this.predResist = !!options.predResist; + + this.outLen = this.hash.outSize; + this.minEntropy = options.minEntropy || this.hash.hmacStrength; + + this.reseed = null; + this.reseedInterval = null; + this.K = null; + this.V = null; + + var entropy = utils.toArray(options.entropy, options.entropyEnc || 'hex'); + var nonce = utils.toArray(options.nonce, options.nonceEnc || 'hex'); + var pers = utils.toArray(options.pers, options.persEnc || 'hex'); + assert(entropy.length >= (this.minEntropy / 8), + 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); + this._init(entropy, nonce, pers); +} +module.exports = HmacDRBG; + +HmacDRBG.prototype._init = function init(entropy, nonce, pers) { + var seed = entropy.concat(nonce).concat(pers); + + this.K = new Array(this.outLen / 8); + this.V = new Array(this.outLen / 8); + for (var i = 0; i < this.V.length; i++) { + this.K[i] = 0x00; + this.V[i] = 0x01; + } + + this._update(seed); + this.reseed = 1; + this.reseedInterval = 0x1000000000000; // 2^48 +}; + +HmacDRBG.prototype._hmac = function hmac() { + return new hash.hmac(this.hash, this.K); +}; + +HmacDRBG.prototype._update = function update(seed) { + var kmac = this._hmac() + .update(this.V) + .update([ 0x00 ]); + if (seed) + kmac = kmac.update(seed); + this.K = kmac.digest(); + this.V = this._hmac().update(this.V).digest(); + if (!seed) + return; + + this.K = this._hmac() + .update(this.V) + .update([ 0x01 ]) + .update(seed) + .digest(); + this.V = this._hmac().update(this.V).digest(); +}; + +HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) { + // Optional entropy enc + if (typeof entropyEnc !== 'string') { + addEnc = add; + add = entropyEnc; + entropyEnc = null; + } + + entropy = utils.toArray(entropy, entropyEnc); + add = utils.toArray(add, addEnc); + + assert(entropy.length >= (this.minEntropy / 8), + 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); + + this._update(entropy.concat(add || [])); + this.reseed = 1; +}; + +HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { + if (this.reseed > this.reseedInterval) + throw new Error('Reseed is required'); + + // Optional encoding + if (typeof enc !== 'string') { + addEnc = add; + add = enc; + enc = null; + } + + // Optional additional data + if (add) { + add = utils.toArray(add, addEnc || 'hex'); + this._update(add); + } + + var temp = []; + while (temp.length < len) { + this.V = this._hmac().update(this.V).digest(); + temp = temp.concat(this.V); + } + + var res = temp.slice(0, len); + this._update(add); + this.reseed++; + return utils.encode(res, enc); +}; + +},{"hash.js":19,"minimalistic-assert":28,"minimalistic-crypto-utils":26}],26:[function(require,module,exports){ +'use strict'; + +var utils = exports; + +function toArray(msg, enc) { + if (Array.isArray(msg)) + return msg.slice(); + if (!msg) + return []; + var res = []; + if (typeof msg !== 'string') { + for (var i = 0; i < msg.length; i++) + res[i] = msg[i] | 0; + return res; + } + if (enc === 'hex') { + msg = msg.replace(/[^a-z0-9]+/ig, ''); + if (msg.length % 2 !== 0) + msg = '0' + msg; + for (var i = 0; i < msg.length; i += 2) + res.push(parseInt(msg[i] + msg[i + 1], 16)); + } else { + for (var i = 0; i < msg.length; i++) { + var c = msg.charCodeAt(i); + var hi = c >> 8; + var lo = c & 0xff; + if (hi) + res.push(hi, lo); + else + res.push(lo); + } + } + return res; +} +utils.toArray = toArray; + +function zero2(word) { + if (word.length === 1) + return '0' + word; + else + return word; +} +utils.zero2 = zero2; + +function toHex(msg) { + var res = ''; + for (var i = 0; i < msg.length; i++) + res += zero2(msg[i].toString(16)); + return res; +} +utils.toHex = toHex; + +utils.encode = function encode(arr, enc) { + if (enc === 'hex') + return toHex(arr); + else + return arr; +}; + +},{}],27:[function(require,module,exports){ +if (typeof Object.create === 'function') { + // implementation from standard node.js 'util' module + module.exports = function inherits(ctor, superCtor) { + ctor.super_ = superCtor + ctor.prototype = Object.create(superCtor.prototype, { + constructor: { + value: ctor, + enumerable: false, + writable: true, + configurable: true + } + }); + }; +} else { + // old school shim for old browsers + module.exports = function inherits(ctor, superCtor) { + ctor.super_ = superCtor + var TempCtor = function () {} + TempCtor.prototype = superCtor.prototype + ctor.prototype = new TempCtor() + ctor.prototype.constructor = ctor + } +} + +},{}],28:[function(require,module,exports){ +module.exports = assert; + +function assert(val, msg) { + if (!val) + throw new Error(msg || 'Assertion failed'); +} + +assert.equal = function assertEqual(l, r, msg) { + if (l != r) + throw new Error(msg || ('Assertion failed: ' + l + ' != ' + r)); +}; + +},{}],29:[function(require,module,exports){ +'use strict'; + +var utils = exports; + +function toArray(msg, enc) { + if (Array.isArray(msg)) + return msg.slice(); + if (!msg) + return []; + var res = []; + if (typeof msg !== 'string') { + for (var i = 0; i < msg.length; i++) + res[i] = msg[i] | 0; + return res; + } + if (!enc) { + for (var i = 0; i < msg.length; i++) { + var c = msg.charCodeAt(i); + var hi = c >> 8; + var lo = c & 0xff; + if (hi) + res.push(hi, lo); + else + res.push(lo); + } + } else if (enc === 'hex') { + msg = msg.replace(/[^a-z0-9]+/ig, ''); + if (msg.length % 2 !== 0) + msg = '0' + msg; + for (var i = 0; i < msg.length; i += 2) + res.push(parseInt(msg[i] + msg[i + 1], 16)); + } + return res; +} +utils.toArray = toArray; + +function zero2(word) { + if (word.length === 1) + return '0' + word; + else + return word; +} +utils.zero2 = zero2; + +function toHex(msg) { + var res = ''; + for (var i = 0; i < msg.length; i++) + res += zero2(msg[i].toString(16)); + return res; +} +utils.toHex = toHex; + +utils.encode = function encode(arr, enc) { + if (enc === 'hex') + return toHex(arr); + else + return arr; +}; + +},{}],30:[function(require,module,exports){ +module.exports={ + "name": "elliptic", + "version": "6.4.0", + "description": "EC cryptography", + "main": "lib/elliptic.js", + "files": [ + "lib" + ], + "scripts": { + "jscs": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js", + "jshint": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js", + "lint": "npm run jscs && npm run jshint", + "unit": "istanbul test _mocha --reporter=spec test/index.js", + "test": "npm run lint && npm run unit", + "version": "grunt dist && git add dist/" + }, + "repository": { + "type": "git", + "url": "git@github.com:indutny/elliptic" + }, + "keywords": [ + "EC", + "Elliptic", + "curve", + "Cryptography" + ], + "author": "Fedor Indutny ", + "license": "MIT", + "bugs": { + "url": "https://github.com/indutny/elliptic/issues" + }, + "homepage": "https://github.com/indutny/elliptic", + "devDependencies": { + "brfs": "^1.4.3", + "coveralls": "^2.11.3", + "grunt": "^0.4.5", + "grunt-browserify": "^5.0.0", + "grunt-cli": "^1.2.0", + "grunt-contrib-connect": "^1.0.0", + "grunt-contrib-copy": "^1.0.0", + "grunt-contrib-uglify": "^1.0.1", + "grunt-mocha-istanbul": "^3.0.1", + "grunt-saucelabs": "^8.6.2", + "istanbul": "^0.4.2", + "jscs": "^2.9.0", + "jshint": "^2.6.0", + "mocha": "^2.1.0" + }, + "dependencies": { + "bn.js": "^4.4.0", + "brorand": "^1.0.1", + "hash.js": "^1.0.0", + "hmac-drbg": "^1.0.0", + "inherits": "^2.0.1", + "minimalistic-assert": "^1.0.0", + "minimalistic-crypto-utils": "^1.0.0" + } +} + +},{}]},{},[1])(1) +}); \ No newline at end of file diff --git a/web/js/sha256.min.js b/web/js/sha256.min.js new file mode 100644 index 0000000..74bcdf5 --- /dev/null +++ b/web/js/sha256.min.js @@ -0,0 +1,9 @@ +/** + * [js-sha256]{@link https://github.com/emn178/js-sha256} + * + * @version 0.9.0 + * @author Chen, Yi-Cyuan [emn178@gmail.com] + * @copyright Chen, Yi-Cyuan 2014-2017 + * 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i=this.array();t.call(this,this.is224,this.sharedMemory),this.update(this.oKeyPad),this.update(i),t.prototype.finalize.call(this)}};var B=w();B.sha256=B,B.sha224=w(!0),B.sha256.hmac=_(),B.sha224.hmac=_(!0),o?module.exports=B:(s.sha256=B.sha256,s.sha224=B.sha224,a&&define(function(){return B}))}(); \ No newline at end of file diff --git a/web/u2f-api.js b/web/js/u2f-api.js similarity index 100% rename from web/u2f-api.js rename to web/js/u2f-api.js diff --git a/web/js/wallet.js b/web/js/wallet.js new file mode 100644 index 0000000..1ba3005 --- /dev/null +++ b/web/js/wallet.js @@ -0,0 +1,405 @@ +function hex(byteArray, join) { + if (join === undefined) join = ' '; + return Array.from(byteArray, function(byte) { + return ('0' + (byte & 0xFF).toString(16)).slice(-2); + }).join(join) +} + +// Convert from normal to web-safe, strip trailing "="s +function webSafe64(base64) { + return base64.replace(/\+/g, '-').replace(/\//g, '_').replace(/=+$/, ''); +} + +// Convert from web-safe to normal, add trailing "="s +function normal64(base64) { + return base64.replace(/\-/g, '+').replace(/_/g, '/') + '=='.substring(0, (3*base64.length)%4); +} + +function websafe2array(base64) { + var binary_string = window.atob(normal64(base64)); + var len = binary_string.length; + var bytes = new Uint8Array( len ); + for (var i = 0; i < len; i++) { + bytes[i] = binary_string.charCodeAt(i); + } + return bytes; +} + +function array2websafe(array) { + var result = ""; + for(var i = 0; i < array.length; ++i){ + result+= (String.fromCharCode(array[i])); + } + return webSafe64(window.btoa(result)); +} + +function string2websafe(string) { + return webSafe64(window.btoa(string)); +} +function string2array(string) { + + var bytes = new Uint8Array( string.length ); + + for (var i = 0; i < string.len; i++) { + bytes[i] = string.charCodeAt(i); + } + + return bytes; +} +function hex2array(string) +{ + if (string.slice(0,2) == '0x') + { + string = string.slice(2,string.length); + } + if (string.length & 1) + { + throw new Error('Odd length hex string'); + } + var arr = new Uint8Array(string.length/2); + var i; + for (i = 0; i < string.length; i+=2) + { + arr[i/2] = parseInt(string.slice(i,i+2),16); + } + return arr; +} + +// https://stackoverflow.com/questions/18729405/how-to-convert-utf8-string-to-byte-array +function toUTF8Array(str) { + var utf8 = []; + for (var i=0; i < str.length; i++) { + var charcode = str.charCodeAt(i); + if (charcode < 0x80) utf8.push(charcode); + else if (charcode < 0x800) { + utf8.push(0xc0 | (charcode >> 6), + 0x80 | (charcode & 0x3f)); + } + else if (charcode < 0xd800 || charcode >= 0xe000) { + utf8.push(0xe0 | (charcode >> 12), + 0x80 | ((charcode>>6) & 0x3f), + 0x80 | (charcode & 0x3f)); + } + // surrogate pair + else { + i++; + // UTF-16 encodes 0x10000-0x10FFFF by + // subtracting 0x10000 and splitting the + // 20 bits of 0x0-0xFFFFF into two halves + charcode = 0x10000 + (((charcode & 0x3ff)<<10) + | (str.charCodeAt(i) & 0x3ff)); + utf8.push(0xf0 | (charcode >>18), + 0x80 | ((charcode>>12) & 0x3f), + 0x80 | ((charcode>>6) & 0x3f), + 0x80 | (charcode & 0x3f)); + } + } + return utf8; +} +function error2string(err) +{ + var lut = { // Only some of these are used + 0x00 : 'CTAP1_SUCCESS', + 0x01 : 'CTAP1_ERR_INVALID_COMMAND', + 0x02 : 'CTAP1_ERR_INVALID_PARAMETER', + 0x03 : 'CTAP1_ERR_INVALID_LENGTH', + 0x04 : 'CTAP1_ERR_INVALID_SEQ', + 0x05 : 'CTAP1_ERR_TIMEOUT', + 0x06 : 'CTAP1_ERR_CHANNEL_BUSY', + 0x0A : 'CTAP1_ERR_LOCK_REQUIRED', + 0x0B : 'CTAP1_ERR_INVALID_CHANNEL', + 0x10 : 'CTAP2_ERR_CBOR_PARSING', + 0x11 : 'CTAP2_ERR_CBOR_UNEXPECTED_TYPE', + 0x12 : 'CTAP2_ERR_INVALID_CBOR', + 0x13 : 'CTAP2_ERR_INVALID_CBOR_TYPE', + 0x14 : 'CTAP2_ERR_MISSING_PARAMETER', + 0x15 : 'CTAP2_ERR_LIMIT_EXCEEDED', + 0x16 : 'CTAP2_ERR_UNSUPPORTED_EXTENSION', + 0x17 : 'CTAP2_ERR_TOO_MANY_ELEMENTS', + 0x18 : 'CTAP2_ERR_EXTENSION_NOT_SUPPORTED', + 0x19 : 'CTAP2_ERR_CREDENTIAL_EXCLUDED', + 0x20 : 'CTAP2_ERR_CREDENTIAL_NOT_VALID', + 0x21 : 'CTAP2_ERR_PROCESSING', + 0x22 : 'CTAP2_ERR_INVALID_CREDENTIAL', + 0x23 : 'CTAP2_ERR_USER_ACTION_PENDING', + 0x24 : 'CTAP2_ERR_OPERATION_PENDING', + 0x25 : 'CTAP2_ERR_NO_OPERATIONS', + 0x26 : 'CTAP2_ERR_UNSUPPORTED_ALGORITHM', + 0x27 : 'CTAP2_ERR_OPERATION_DENIED', + 0x28 : 'CTAP2_ERR_KEY_STORE_FULL', + 0x29 : 'CTAP2_ERR_NOT_BUSY', + 0x2A : 'CTAP2_ERR_NO_OPERATION_PENDING', + 0x2B : 'CTAP2_ERR_UNSUPPORTED_OPTION', + 0x2C : 'CTAP2_ERR_INVALID_OPTION', + 0x2D : 'CTAP2_ERR_KEEPALIVE_CANCEL', + 0x2E : 'CTAP2_ERR_NO_CREDENTIALS', + 0x2F : 'CTAP2_ERR_USER_ACTION_TIMEOUT', + 0x30 : 'CTAP2_ERR_NOT_ALLOWED', + 0x31 : 'CTAP2_ERR_PIN_INVALID', + 0x32 : 'CTAP2_ERR_PIN_BLOCKED', + 0x33 : 'CTAP2_ERR_PIN_AUTH_INVALID', + 0x34 : 'CTAP2_ERR_PIN_AUTH_BLOCKED', + 0x35 : 'CTAP2_ERR_PIN_NOT_SET', + 0x36 : 'CTAP2_ERR_PIN_REQUIRED', + 0x37 : 'CTAP2_ERR_PIN_POLICY_VIOLATION', + 0x38 : 'CTAP2_ERR_PIN_TOKEN_EXPIRED', + 0x39 : 'CTAP2_ERR_REQUEST_TOO_LARGE', + } + return lut[err] +} + +var CMD = { + sign: 0x10, + register: 0x11, + pin: 0x12, +}; + +var PIN = { + getRetries: 0x01, + getKeyAgreement: 0x02, + setPin: 0x03, + changePin: 0x04, + getPinToken: 0x05, +}; + +function send_msg(data, func, timeout) { + // Use key handle and signature response as comm channel + var d = new Date(); + var t1 = d.getTime(); + timeout = timeout || 5; + + var appid = window.location.origin; + var chal = string2websafe('AABBCC'); + + var keyHandle = array2websafe(data); + + var key = { + version: 'U2F_V2', + keyHandle: keyHandle, + transports: [], + appId: appid + }; + + + window.u2f.sign(appid,chal,[key], function(res){ + + var d2 = new Date(); + t2 = d2.getTime(); + sig = websafe2array(res.signatureData) + + //console.log(sig); + //console.log(sig.slice(1,5)); + var dataview = new DataView(sig.slice(1,5).buffer); + + count = dataview.getUint32(0,true); // get count as 32 bit LE integer + + //console.log('sig:',sig); + //console.log('count:',count); + data = null; + if (sig[5] == 0) { + data = sig.slice(6,sig.length); + } + func({count: count, status: error2string(sig[5]), data: data}); + //console.log('response:', res); + //console.log('time:', t2-t1); + //i += 1; + + },timeout); +} + + + + +// Format a request message +// @cmd 0-255 value command +// @p1,p2 optional "sub" commands/arguments, each 0-255 valued. +// @pinAuth 16 byte Uint8Array needed for most commands to authorize command +// @args array of Uint8Arrays, arguments for the command being run +function formatRequest(cmd, p1, p2, pinAuth, args) { + var argslen = 0; + var i,j; + for (i = 0; i < args.length; i+=1) { + argslen += args[i].length + 1 + } + var len = 16 + 4 + argslen; + + if (len > 255) + { + throw new Error('Total length of request cannot exceed 255 bytes'); + } + + var array = new Uint8Array(len); + + array[0] = cmd & 0xff; + array[1] = p1 & 0xff; + array[2] = p2 & 0xff; + array[3] = (args.length) & 0xff; + + for (i = 0; i < 16; i += 1) { + array[4 + i] = pinAuth[i]; + } + + var offset = 4 + i; + + for (i = 0; i < args.length; i += 1) { + array[offset] = args[i].length; + offset += 1 + for (j = 0; j < args[i].length; j += 1) { + array[offset] = args[i][j]; + offset += 1 + } + } + return array; +} + +function computePinAuth(pinToken, cmd,p1,p2,args) +{ + var hmac = sha256.hmac.create(pinToken); + var i; + hmac.update([cmd]); + hmac.update([p1]); + hmac.update([p2]); + hmac.update([args.length]); + + for (i = 0; i < args.length; i++) + { + hmac.update([args[i].length]); + hmac.update(args[i]); + } + + return hmac.array().slice(0,16) +} + + +// @sigAlg is a number 0-255 +// @pinAuth token, see pinToken information. Uint8Array +// @challenge is websafe base64 string. Data to be signed. +// @keyid is optional, websafe base64 string +function signRequestFormat(sigAlg,pinToken,challenge,keyid) { +// Sign request +// Field Value length +// op: 0x10 1 +// authType: sigAlg 1 +// reserved: 0x00 1 +// pinHashEnc: [dynamic] 16 +// challenge-length: challenge.length 1 +// challenge: challenge 1-234 +// keyID-length: keyid.length 1 +// keyID: keyid 0-233 +// Note: total size must not exceed 255 bytes + + var cmd = 0x10; + var p1 = sigAlg; + var p2 = 0; + var args = [challenge]; + if (keyid) args.push(keyid) + + var pinAuth = computePinAuth(pinToken,cmd,p1,p2,args); + console.log(hex(pinAuth)); + var req = formatRequest(cmd,p1,p2,pinAuth,args); + console.log('',req); + + return req; +} + +// @subCmd is one of the following in PIN {} +function pinRequestFormat(subcmd,pubkey,pinHashEnc) { + + var cmd = 0x12; + var p1 = subcmd; + var p2 = 0; + //var args = [challenge]; + //if (keyid) args.push(keyid) + var pinAuth = pinHashEnc || new Uint8Array(16); + var args = []; + + if (pubkey) args.push(pubkey) + + //var pinAuth = computePinAuth(pinToken,cmd,p1,p2,args); + //console.log(hex(pinAuth)); + var req = formatRequest(cmd,p1,p2,pinAuth,args); + + return req; +} + + + + +function run_tests() +{ + var pin = '1234'; + var ec256k1 = new EC('secp256k1'); + var ecp256 = new EC('p256'); + var sharedSecret = new Uint8Array([1,2,3,4]) + var pinToken = new Uint8Array([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]) + + var req = pinRequestFormat(PIN.getKeyAgreement); + send_msg(req, function(resp){ + + var i; + console.log('getKeyAgreement response:', resp); + + var pubkey_hex = '04'+hex(resp.data,''); + console.log('pubkey:', pubkey_hex); + + + var pubkey = ecp256.keyFromPublic(pubkey_hex,'hex'); + var keypair = ecp256.genKeyPair(); + var shared = keypair.derive(pubkey.getPublic()).toArray(); + + hash = sha256.create(); + hash.update(shared); + shared = hash.array(); + + var ourPubkey = keypair.getPublic(undefined, 'hex'); + + var ourPubkeyBytes = hex2array(ourPubkey.slice(2,ourPubkey.length)); + + + console.log('shared-secret:', hex(shared)); + console.log('our pubkey:', keypair.getPublic(undefined, 'hex')); + + hash = sha256.create(); + hash.update(toUTF8Array(pin)); + pinHash = hash.array().slice(0,16); + console.log('pinHash:', hex(pinHash)); + + var iv = new Uint8Array(16); + iv.fill(0); + + var aesCbc = new aesjs.ModeOfOperation.cbc(shared, iv); + pinHashEnc = aesCbc.encrypt(pinHash); + + console.log('pinenc:', hex(pinHashEnc)); + + var req = pinRequestFormat(PIN.getPinToken, ourPubkeyBytes, pinHashEnc); + + console.log('pinTokenReq',req); + + send_msg(req, function(resp){ + console.log('getPinToken:', resp); + var aesCbc = new aesjs.ModeOfOperation.cbc(shared, iv); + var pinTokenEnc = resp.data; + var pinToken = aesCbc.decrypt(pinTokenEnc); + + console.log('pintoken:', hex(pinToken)); + }); + + //var sigAlg = 3; + //var challenge = string2array('1234567890 1234567890 1234567890'); + //var keyid = string2array(''); + + //var req = signRequestFormat(sigAlg,pinToken,challenge,keyid); + + //console.log('req:',req) + + //send_msg(req, function(resp){ + //console.assert(resp.status == 'CTAP1_SUCCESS'); + //console.log(resp); + //}); + }); +} + + +EC = elliptic.ec +run_tests(); diff --git a/web/u2f-api2.js b/web/u2f-api2.js deleted file mode 100644 index 9244d14..0000000 --- a/web/u2f-api2.js +++ /dev/null @@ -1,748 +0,0 @@ -//Copyright 2014-2015 Google Inc. All rights reserved. - -//Use of this source code is governed by a BSD-style -//license that can be found in the LICENSE file or at -//https://developers.google.com/open-source/licenses/bsd - -/** - * @fileoverview The U2F api. - */ -'use strict'; - - -/** - * Namespace for the U2F api. - * @type {Object} - */ -var u2f = u2f || {}; - -/** - * FIDO U2F Javascript API Version - * @number - */ -var js_api_version; - -/** - * The U2F extension id - * @const {string} - */ -// The Chrome packaged app extension ID. -// Uncomment this if you want to deploy a server instance that uses -// the package Chrome app and does not require installing the U2F Chrome extension. - u2f.EXTENSION_ID = 'kmendfapggjehodndflmmgagdbamhnfd'; -// The U2F Chrome extension ID. -// Uncomment this if you want to deploy a server instance that uses -// the U2F Chrome extension to authenticate. -// u2f.EXTENSION_ID = 'pfboblefjcgdjicmnffhdgionmgcdmne'; - - -/** - * Message types for messsages to/from the extension - * @const - * @enum {string} - */ -u2f.MessageTypes = { - 'U2F_REGISTER_REQUEST': 'u2f_register_request', - 'U2F_REGISTER_RESPONSE': 'u2f_register_response', - 'U2F_SIGN_REQUEST': 'u2f_sign_request', - 'U2F_SIGN_RESPONSE': 'u2f_sign_response', - 'U2F_GET_API_VERSION_REQUEST': 'u2f_get_api_version_request', - 'U2F_GET_API_VERSION_RESPONSE': 'u2f_get_api_version_response' -}; - - -/** - * Response status codes - * @const - * @enum {number} - */ -u2f.ErrorCodes = { - 'OK': 0, - 'OTHER_ERROR': 1, - 'BAD_REQUEST': 2, - 'CONFIGURATION_UNSUPPORTED': 3, - 'DEVICE_INELIGIBLE': 4, - 'TIMEOUT': 5 -}; - - -/** - * A message for registration requests - * @typedef {{ - * type: u2f.MessageTypes, - * appId: ?string, - * timeoutSeconds: ?number, - * requestId: ?number - * }} - */ -u2f.U2fRequest; - - -/** - * A message for registration responses - * @typedef {{ - * type: u2f.MessageTypes, - * responseData: (u2f.Error | u2f.RegisterResponse | u2f.SignResponse), - * requestId: ?number - * }} - */ -u2f.U2fResponse; - - -/** - * An error object for responses - * @typedef {{ - * errorCode: u2f.ErrorCodes, - * errorMessage: ?string - * }} - */ -u2f.Error; - -/** - * Data object for a single sign request. - * @typedef {enum {BLUETOOTH_RADIO, BLUETOOTH_LOW_ENERGY, USB, NFC}} - */ -u2f.Transport; - - -/** - * Data object for a single sign request. - * @typedef {Array} - */ -u2f.Transports; - -/** - * Data object for a single sign request. - * @typedef {{ - * version: string, - * challenge: string, - * keyHandle: string, - * appId: string - * }} - */ -u2f.SignRequest; - - -/** - * Data object for a sign response. - * @typedef {{ - * keyHandle: string, - * signatureData: string, - * clientData: string - * }} - */ -u2f.SignResponse; - - -/** - * Data object for a registration request. - * @typedef {{ - * version: string, - * challenge: string - * }} - */ -u2f.RegisterRequest; - - -/** - * Data object for a registration response. - * @typedef {{ - * version: string, - * keyHandle: string, - * transports: Transports, - * appId: string - * }} - */ -u2f.RegisterResponse; - - -/** - * Data object for a registered key. - * @typedef {{ - * version: string, - * keyHandle: string, - * transports: ?Transports, - * appId: ?string - * }} - */ -u2f.RegisteredKey; - - -/** - * Data object for a get API register response. - * @typedef {{ - * js_api_version: number - * }} - */ -u2f.GetJsApiVersionResponse; - - -//Low level MessagePort API support - -/** - * Sets up a MessagePort to the U2F extension using the - * available mechanisms. - * @param {function((MessagePort|u2f.WrappedChromeRuntimePort_))} callback - */ -u2f.getMessagePort = function(callback) { - if (typeof chrome != 'undefined' && chrome.runtime) { - // The actual message here does not matter, but we need to get a reply - // for the callback to run. Thus, send an empty signature request - // in order to get a failure response. - var msg = { - type: u2f.MessageTypes.U2F_SIGN_REQUEST, - signRequests: [] - }; - chrome.runtime.sendMessage(u2f.EXTENSION_ID, msg, function() { - if (!chrome.runtime.lastError) { - // We are on a whitelisted origin and can talk directly - // with the extension. - u2f.getChromeRuntimePort_(callback); - } else { - // chrome.runtime was available, but we couldn't message - // the extension directly, use iframe - u2f.getIframePort_(callback); - } - }); - } else if (u2f.isAndroidChrome_()) { - u2f.getAuthenticatorPort_(callback); - } else if (u2f.isIosChrome_()) { - u2f.getIosPort_(callback); - } else { - // chrome.runtime was not available at all, which is normal - // when this origin doesn't have access to any extensions. - u2f.getIframePort_(callback); - } -}; - -/** - * Detect chrome running on android based on the browser's useragent. - * @private - */ -u2f.isAndroidChrome_ = function() { - var userAgent = navigator.userAgent; - return userAgent.indexOf('Chrome') != -1 && - userAgent.indexOf('Android') != -1; -}; - -/** - * Detect chrome running on iOS based on the browser's platform. - * @private - */ -u2f.isIosChrome_ = function() { - return ["iPhone", "iPad", "iPod"].indexOf(navigator.platform) > -1; -}; - -/** - * Connects directly to the extension via chrome.runtime.connect. - * @param {function(u2f.WrappedChromeRuntimePort_)} callback - * @private - */ -u2f.getChromeRuntimePort_ = function(callback) { - var port = chrome.runtime.connect(u2f.EXTENSION_ID, - {'includeTlsChannelId': true}); - setTimeout(function() { - callback(new u2f.WrappedChromeRuntimePort_(port)); - }, 0); -}; - -/** - * Return a 'port' abstraction to the Authenticator app. - * @param {function(u2f.WrappedAuthenticatorPort_)} callback - * @private - */ -u2f.getAuthenticatorPort_ = function(callback) { - setTimeout(function() { - callback(new u2f.WrappedAuthenticatorPort_()); - }, 0); -}; - -/** - * Return a 'port' abstraction to the iOS client app. - * @param {function(u2f.WrappedIosPort_)} callback - * @private - */ -u2f.getIosPort_ = function(callback) { - setTimeout(function() { - callback(new u2f.WrappedIosPort_()); - }, 0); -}; - -/** - * A wrapper for chrome.runtime.Port that is compatible with MessagePort. - * @param {Port} port - * @constructor - * @private - */ -u2f.WrappedChromeRuntimePort_ = function(port) { - this.port_ = port; -}; - -/** - * Format and return a sign request compliant with the JS API version supported by the extension. - * @param {Array} signRequests - * @param {number} timeoutSeconds - * @param {number} reqId - * @return {Object} - */ -u2f.formatSignRequest_ = - function(appId, challenge, registeredKeys, timeoutSeconds, reqId) { - if (js_api_version === undefined || js_api_version < 1.1) { - // Adapt request to the 1.0 JS API - var signRequests = []; - for (var i = 0; i < registeredKeys.length; i++) { - signRequests[i] = { - version: registeredKeys[i].version, - challenge: challenge, - keyHandle: registeredKeys[i].keyHandle, - appId: appId - }; - } - return { - type: u2f.MessageTypes.U2F_SIGN_REQUEST, - signRequests: signRequests, - timeoutSeconds: timeoutSeconds, - requestId: reqId - }; - } - // JS 1.1 API - return { - type: u2f.MessageTypes.U2F_SIGN_REQUEST, - appId: appId, - challenge: challenge, - registeredKeys: registeredKeys, - timeoutSeconds: timeoutSeconds, - requestId: reqId - }; -}; - -/** - * Format and return a register request compliant with the JS API version supported by the extension.. - * @param {Array} signRequests - * @param {Array} signRequests - * @param {number} timeoutSeconds - * @param {number} reqId - * @return {Object} - */ -u2f.formatRegisterRequest_ = - function(appId, registeredKeys, registerRequests, timeoutSeconds, reqId) { - if (js_api_version === undefined || js_api_version < 1.1) { - // Adapt request to the 1.0 JS API - for (var i = 0; i < registerRequests.length; i++) { - registerRequests[i].appId = appId; - } - var signRequests = []; - for (var i = 0; i < registeredKeys.length; i++) { - signRequests[i] = { - version: registeredKeys[i].version, - challenge: registerRequests[0], - keyHandle: registeredKeys[i].keyHandle, - appId: appId - }; - } - return { - type: u2f.MessageTypes.U2F_REGISTER_REQUEST, - signRequests: signRequests, - registerRequests: registerRequests, - timeoutSeconds: timeoutSeconds, - requestId: reqId - }; - } - // JS 1.1 API - return { - type: u2f.MessageTypes.U2F_REGISTER_REQUEST, - appId: appId, - registerRequests: registerRequests, - registeredKeys: registeredKeys, - timeoutSeconds: timeoutSeconds, - requestId: reqId - }; -}; - - -/** - * Posts a message on the underlying channel. - * @param {Object} message - */ -u2f.WrappedChromeRuntimePort_.prototype.postMessage = function(message) { - this.port_.postMessage(message); -}; - - -/** - * Emulates the HTML 5 addEventListener interface. Works only for the - * onmessage event, which is hooked up to the chrome.runtime.Port.onMessage. - * @param {string} eventName - * @param {function({data: Object})} handler - */ -u2f.WrappedChromeRuntimePort_.prototype.addEventListener = - function(eventName, handler) { - var name = eventName.toLowerCase(); - if (name == 'message' || name == 'onmessage') { - this.port_.onMessage.addListener(function(message) { - // Emulate a minimal MessageEvent object - handler({'data': message}); - }); - } else { - console.error('WrappedChromeRuntimePort only supports onMessage'); - } -}; - -/** - * Wrap the Authenticator app with a MessagePort interface. - * @constructor - * @private - */ -u2f.WrappedAuthenticatorPort_ = function() { - this.requestId_ = -1; - this.requestObject_ = null; -} - -/** - * Launch the Authenticator intent. - * @param {Object} message - */ -u2f.WrappedAuthenticatorPort_.prototype.postMessage = function(message) { - var intentUrl = - u2f.WrappedAuthenticatorPort_.INTENT_URL_BASE_ + - ';S.request=' + encodeURIComponent(JSON.stringify(message)) + - ';end'; - document.location = intentUrl; -}; - -/** - * Tells what type of port this is. - * @return {String} port type - */ -u2f.WrappedAuthenticatorPort_.prototype.getPortType = function() { - return "WrappedAuthenticatorPort_"; -}; - - -/** - * Emulates the HTML 5 addEventListener interface. - * @param {string} eventName - * @param {function({data: Object})} handler - */ -u2f.WrappedAuthenticatorPort_.prototype.addEventListener = function(eventName, handler) { - var name = eventName.toLowerCase(); - if (name == 'message') { - var self = this; - /* Register a callback to that executes when - * chrome injects the response. */ - window.addEventListener( - 'message', self.onRequestUpdate_.bind(self, handler), false); - } else { - console.error('WrappedAuthenticatorPort only supports message'); - } -}; - -/** - * Callback invoked when a response is received from the Authenticator. - * @param function({data: Object}) callback - * @param {Object} message message Object - */ -u2f.WrappedAuthenticatorPort_.prototype.onRequestUpdate_ = - function(callback, message) { - var messageObject = JSON.parse(message.data); - var intentUrl = messageObject['intentURL']; - - var errorCode = messageObject['errorCode']; - var responseObject = null; - if (messageObject.hasOwnProperty('data')) { - responseObject = /** @type {Object} */ ( - JSON.parse(messageObject['data'])); - } - - callback({'data': responseObject}); -}; - -/** - * Base URL for intents to Authenticator. - * @const - * @private - */ -u2f.WrappedAuthenticatorPort_.INTENT_URL_BASE_ = - 'intent:#Intent;action=com.google.android.apps.authenticator.AUTHENTICATE'; - -/** - * Wrap the iOS client app with a MessagePort interface. - * @constructor - * @private - */ -u2f.WrappedIosPort_ = function() {}; - -/** - * Launch the iOS client app request - * @param {Object} message - */ -u2f.WrappedIosPort_.prototype.postMessage = function(message) { - var str = JSON.stringify(message); - var url = "u2f://auth?" + encodeURI(str); - location.replace(url); -}; - -/** - * Tells what type of port this is. - * @return {String} port type - */ -u2f.WrappedIosPort_.prototype.getPortType = function() { - return "WrappedIosPort_"; -}; - -/** - * Emulates the HTML 5 addEventListener interface. - * @param {string} eventName - * @param {function({data: Object})} handler - */ -u2f.WrappedIosPort_.prototype.addEventListener = function(eventName, handler) { - var name = eventName.toLowerCase(); - if (name !== 'message') { - console.error('WrappedIosPort only supports message'); - } -}; - -/** - * Sets up an embedded trampoline iframe, sourced from the extension. - * @param {function(MessagePort)} callback - * @private - */ -u2f.getIframePort_ = function(callback) { - // Create the iframe - var iframeOrigin = 'chrome-extension://' + u2f.EXTENSION_ID; - var iframe = document.createElement('iframe'); - iframe.src = iframeOrigin + '/u2f-comms.html'; - iframe.setAttribute('style', 'display:none'); - document.body.appendChild(iframe); - - var channel = new MessageChannel(); - var ready = function(message) { - if (message.data == 'ready') { - channel.port1.removeEventListener('message', ready); - callback(channel.port1); - } else { - console.error('First event on iframe port was not "ready"'); - } - }; - channel.port1.addEventListener('message', ready); - channel.port1.start(); - - iframe.addEventListener('load', function() { - // Deliver the port to the iframe and initialize - iframe.contentWindow.postMessage('init', iframeOrigin, [channel.port2]); - }); -}; - - -//High-level JS API - -/** - * Default extension response timeout in seconds. - * @const - */ -u2f.EXTENSION_TIMEOUT_SEC = 30; - -/** - * A singleton instance for a MessagePort to the extension. - * @type {MessagePort|u2f.WrappedChromeRuntimePort_} - * @private - */ -u2f.port_ = null; - -/** - * Callbacks waiting for a port - * @type {Array} - * @private - */ -u2f.waitingForPort_ = []; - -/** - * A counter for requestIds. - * @type {number} - * @private - */ -u2f.reqCounter_ = 0; - -/** - * A map from requestIds to client callbacks - * @type {Object.} - * @private - */ -u2f.callbackMap_ = {}; - -/** - * Creates or retrieves the MessagePort singleton to use. - * @param {function((MessagePort|u2f.WrappedChromeRuntimePort_))} callback - * @private - */ -u2f.getPortSingleton_ = function(callback) { - if (u2f.port_) { - callback(u2f.port_); - } else { - if (u2f.waitingForPort_.length == 0) { - u2f.getMessagePort(function(port) { - u2f.port_ = port; - u2f.port_.addEventListener('message', - /** @type {function(Event)} */ (u2f.responseHandler_)); - - // Careful, here be async callbacks. Maybe. - while (u2f.waitingForPort_.length) - u2f.waitingForPort_.shift()(u2f.port_); - }); - } - u2f.waitingForPort_.push(callback); - } -}; - -/** - * Handles response messages from the extension. - * @param {MessageEvent.} message - * @private - */ -u2f.responseHandler_ = function(message) { - var response = message.data; - var reqId = response['requestId']; - if (!reqId || !u2f.callbackMap_[reqId]) { - console.error('Unknown or missing requestId in response.'); - return; - } - var cb = u2f.callbackMap_[reqId]; - delete u2f.callbackMap_[reqId]; - cb(response['responseData']); -}; - -/** - * Dispatches an array of sign requests to available U2F tokens. - * If the JS API version supported by the extension is unknown, it first sends a - * message to the extension to find out the supported API version and then it sends - * the sign request. - * @param {string=} appId - * @param {string=} challenge - * @param {Array} registeredKeys - * @param {function((u2f.Error|u2f.SignResponse))} callback - * @param {number=} opt_timeoutSeconds - */ -u2f.sign = function(appId, challenge, registeredKeys, callback, opt_timeoutSeconds) { - if (js_api_version === undefined) { - // Send a message to get the extension to JS API version, then send the actual sign request. - u2f.getApiVersion( - function (response) { - js_api_version = response['js_api_version'] === undefined ? 0 : response['js_api_version']; - console.log("Extension JS API Version: ", js_api_version); - u2f.sendSignRequest(appId, challenge, registeredKeys, callback, opt_timeoutSeconds); - }); - } else { - // We know the JS API version. Send the actual sign request in the supported API version. - u2f.sendSignRequest(appId, challenge, registeredKeys, callback, opt_timeoutSeconds); - } -}; - -/** - * Dispatches an array of sign requests to available U2F tokens. - * @param {string=} appId - * @param {string=} challenge - * @param {Array} registeredKeys - * @param {function((u2f.Error|u2f.SignResponse))} callback - * @param {number=} opt_timeoutSeconds - */ -u2f.sendSignRequest = function(appId, challenge, registeredKeys, callback, opt_timeoutSeconds) { - u2f.getPortSingleton_(function(port) { - var reqId = ++u2f.reqCounter_; - u2f.callbackMap_[reqId] = callback; - var timeoutSeconds = (typeof opt_timeoutSeconds !== 'undefined' ? - opt_timeoutSeconds : u2f.EXTENSION_TIMEOUT_SEC); - var req = u2f.formatSignRequest_(appId, challenge, registeredKeys, timeoutSeconds, reqId); - port.postMessage(req); - }); -}; - -/** - * Dispatches register requests to available U2F tokens. An array of sign - * requests identifies already registered tokens. - * If the JS API version supported by the extension is unknown, it first sends a - * message to the extension to find out the supported API version and then it sends - * the register request. - * @param {string=} appId - * @param {Array} registerRequests - * @param {Array} registeredKeys - * @param {function((u2f.Error|u2f.RegisterResponse))} callback - * @param {number=} opt_timeoutSeconds - */ -u2f.register = function(appId, registerRequests, registeredKeys, callback, opt_timeoutSeconds) { - if (js_api_version === undefined) { - // Send a message to get the extension to JS API version, then send the actual register request. - u2f.getApiVersion( - function (response) { - js_api_version = response['js_api_version'] === undefined ? 0: response['js_api_version']; - console.log("Extension JS API Version: ", js_api_version); - u2f.sendRegisterRequest(appId, registerRequests, registeredKeys, - callback, opt_timeoutSeconds); - }); - } else { - // We know the JS API version. Send the actual register request in the supported API version. - u2f.sendRegisterRequest(appId, registerRequests, registeredKeys, - callback, opt_timeoutSeconds); - } -}; - -/** - * Dispatches register requests to available U2F tokens. An array of sign - * requests identifies already registered tokens. - * @param {string=} appId - * @param {Array} registerRequests - * @param {Array} registeredKeys - * @param {function((u2f.Error|u2f.RegisterResponse))} callback - * @param {number=} opt_timeoutSeconds - */ -u2f.sendRegisterRequest = function(appId, registerRequests, registeredKeys, callback, opt_timeoutSeconds) { - u2f.getPortSingleton_(function(port) { - var reqId = ++u2f.reqCounter_; - u2f.callbackMap_[reqId] = callback; - var timeoutSeconds = (typeof opt_timeoutSeconds !== 'undefined' ? - opt_timeoutSeconds : u2f.EXTENSION_TIMEOUT_SEC); - var req = u2f.formatRegisterRequest_( - appId, registeredKeys, registerRequests, timeoutSeconds, reqId); - port.postMessage(req); - }); -}; - - -/** - * Dispatches a message to the extension to find out the supported - * JS API version. - * If the user is on a mobile phone and is thus using Google Authenticator instead - * of the Chrome extension, don't send the request and simply return 0. - * @param {function((u2f.Error|u2f.GetJsApiVersionResponse))} callback - * @param {number=} opt_timeoutSeconds - */ -u2f.getApiVersion = function(callback, opt_timeoutSeconds) { - u2f.getPortSingleton_(function(port) { - // If we are using Android Google Authenticator or iOS client app, - // do not fire an intent to ask which JS API version to use. - if (port.getPortType) { - var apiVersion; - switch (port.getPortType()) { - case 'WrappedIosPort_': - case 'WrappedAuthenticatorPort_': - apiVersion = 1.1; - break; - - default: - apiVersion = 0; - break; - } - callback({ 'js_api_version': apiVersion }); - return; - } - var reqId = ++u2f.reqCounter_; - u2f.callbackMap_[reqId] = callback; - var req = { - type: u2f.MessageTypes.U2F_GET_API_VERSION_REQUEST, - timeoutSeconds: (typeof opt_timeoutSeconds !== 'undefined' ? - opt_timeoutSeconds : u2f.EXTENSION_TIMEOUT_SEC), - requestId: reqId - }; - port.postMessage(req); - }); -};