From 17e7c34d38a0384098a72fede843812035343a59 Mon Sep 17 00:00:00 2001 From: "Jason A. Donenfeld" Date: Mon, 22 Jan 2018 18:11:32 +0100 Subject: [PATCH] contrib: keygen-html: share curve25519 implementation with kernel Signed-off-by: Jason A. Donenfeld --- contrib/keygen-html/Makefile | 2 +- contrib/keygen-html/src/curve25519_generate.c | 866 +----------------- 2 files changed, 34 insertions(+), 834 deletions(-) diff --git a/contrib/keygen-html/Makefile b/contrib/keygen-html/Makefile index 0902275..a3acec0 100644 --- a/contrib/keygen-html/Makefile +++ b/contrib/keygen-html/Makefile @@ -1,5 +1,5 @@ curve25519_generate.js: src/curve25519_generate.c src/glue.js - emcc -O2 --memory-init-file 0 --closure 1 --post-js src/glue.js -o $@ src/curve25519_generate.c + emcc -O2 --memory-init-file 0 --closure 1 --post-js src/glue.js -s 'EXTRA_EXPORTED_RUNTIME_METHODS=["Pointer_stringify"]' -o $@ src/curve25519_generate.c clean: rm -f curve25519_generate.js all: curve25519_generate.js diff --git a/contrib/keygen-html/src/curve25519_generate.c b/contrib/keygen-html/src/curve25519_generate.c index c5f86dc..8b4bbb3 100644 --- a/contrib/keygen-html/src/curve25519_generate.c +++ b/contrib/keygen-html/src/curve25519_generate.c @@ -9,855 +9,55 @@ #include +typedef unsigned long long u64; +typedef unsigned int u32; +typedef unsigned char u8; +typedef u32 __le32; + +enum { CURVE25519_POINT_SIZE = 32 }; + #ifndef __always_inline #define __always_inline __inline __attribute__((__always_inline__)) #endif - +#ifndef noinline +#define noinline __attribute__((noinline)) +#endif #ifndef __aligned #define __aligned(x) __attribute__((aligned(x))) #endif - -#if __BYTE_ORDER == __LITTLE_ENDIAN -#define le32toh(x) (x) -#else -#define htole32(x) __builtin_bswap32(x) +#ifndef __force +#define __force #endif +#if __BYTE_ORDER == __LITTLE_ENDIAN +#define le32_to_cpup(a) (*(a)) +#else +#define le32_to_cpup(a) __builtin_bswap32(*(a)) +#endif -typedef unsigned long long uint64_t; -typedef unsigned int uint32_t; -typedef unsigned char uint8_t; -/* fe means field element. Here the field is \Z/(2^255-19). An element t, - * entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 - * t[3]+2^102 t[4]+...+2^230 t[9]. - * fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc. - * Multiplication and carrying produce fe from fe_loose. - */ -typedef struct fe { uint32_t v[10]; } fe; +#define memset(a, b, c) __builtin_memset(a, b, c) +#define memcpy(a, b, c) __builtin_memcpy(a, b, c) +#define memmove(a, b, c) __builtin_memmove(a, b, c) +/* We don't even attempt to deal with this in javascript. */ +#define memzero_explicit(a, b) -/* fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc. - * Addition and subtraction produce fe_loose from (fe, fe). - */ -typedef struct fe_loose { uint32_t v[10]; } fe_loose; - -static __always_inline void fe_frombytes_impl(uint32_t h[10], const uint8_t *s) -{ - /* Ignores top bit of s. */ - uint32_t a0 = le32toh(*(uint32_t *)(s)); - uint32_t a1 = le32toh(*(uint32_t *)(s+4)); - uint32_t a2 = le32toh(*(uint32_t *)(s+8)); - uint32_t a3 = le32toh(*(uint32_t *)(s+12)); - uint32_t a4 = le32toh(*(uint32_t *)(s+16)); - uint32_t a5 = le32toh(*(uint32_t *)(s+20)); - uint32_t a6 = le32toh(*(uint32_t *)(s+24)); - uint32_t a7 = le32toh(*(uint32_t *)(s+28)); - h[0] = a0&((1<<26)-1); /* 26 used, 32-26 left. 26 */ - h[1] = (a0>>26) | ((a1&((1<<19)-1))<< 6); /* (32-26) + 19 = 6+19 = 25 */ - h[2] = (a1>>19) | ((a2&((1<<13)-1))<<13); /* (32-19) + 13 = 13+13 = 26 */ - h[3] = (a2>>13) | ((a3&((1<< 6)-1))<<19); /* (32-13) + 6 = 19+ 6 = 25 */ - h[4] = (a3>> 6); /* (32- 6) = 26 */ - h[5] = a4&((1<<25)-1); /* 25 */ - h[6] = (a4>>25) | ((a5&((1<<19)-1))<< 7); /* (32-25) + 19 = 7+19 = 26 */ - h[7] = (a5>>19) | ((a6&((1<<12)-1))<<13); /* (32-19) + 12 = 13+12 = 25 */ - h[8] = (a6>>12) | ((a7&((1<< 6)-1))<<20); /* (32-12) + 6 = 20+ 6 = 26 */ - h[9] = (a7>> 6)&((1<<25)-1); /* 25 */ -} - -static __always_inline void fe_frombytes(fe *h, const uint8_t *s) -{ - fe_frombytes_impl(h->v, s); -} - -static __always_inline uint8_t /*bool*/ addcarryx_u25(uint8_t /*bool*/ c, uint32_t a, uint32_t b, uint32_t *low) -{ - /* This function extracts 25 bits of result and 1 bit of carry (26 total), so - * a 32-bit intermediate is sufficient. - */ - uint32_t x = a + b + c; - *low = x & ((1 << 25) - 1); - return (x >> 25) & 1; -} - -static __always_inline uint8_t /*bool*/ addcarryx_u26(uint8_t /*bool*/ c, uint32_t a, uint32_t b, uint32_t *low) -{ - /* This function extracts 26 bits of result and 1 bit of carry (27 total), so - * a 32-bit intermediate is sufficient. - */ - uint32_t x = a + b + c; - *low = x & ((1 << 26) - 1); - return (x >> 26) & 1; -} - -static __always_inline uint8_t /*bool*/ subborrow_u25(uint8_t /*bool*/ c, uint32_t a, uint32_t b, uint32_t *low) -{ - /* This function extracts 25 bits of result and 1 bit of borrow (26 total), so - * a 32-bit intermediate is sufficient. - */ - uint32_t x = a - b - c; - *low = x & ((1 << 25) - 1); - return x >> 31; -} - -static __always_inline uint8_t /*bool*/ subborrow_u26(uint8_t /*bool*/ c, uint32_t a, uint32_t b, uint32_t *low) -{ - /* This function extracts 26 bits of result and 1 bit of borrow (27 total), so - * a 32-bit intermediate is sufficient. - */ - uint32_t x = a - b - c; - *low = x & ((1 << 26) - 1); - return x >> 31; -} - -static __always_inline uint32_t cmovznz32(uint32_t t, uint32_t z, uint32_t nz) -{ - t = -!!t; /* all set if nonzero, 0 if 0 */ - return (t&nz) | ((~t)&z); -} - -static __always_inline void fe_freeze(uint32_t out[10], const uint32_t in1[10]) -{ - { const uint32_t x17 = in1[9]; - { const uint32_t x18 = in1[8]; - { const uint32_t x16 = in1[7]; - { const uint32_t x14 = in1[6]; - { const uint32_t x12 = in1[5]; - { const uint32_t x10 = in1[4]; - { const uint32_t x8 = in1[3]; - { const uint32_t x6 = in1[2]; - { const uint32_t x4 = in1[1]; - { const uint32_t x2 = in1[0]; - { uint32_t x20; uint8_t/*bool*/ x21 = subborrow_u26(0x0, x2, 0x3ffffed, &x20); - { uint32_t x23; uint8_t/*bool*/ x24 = subborrow_u25(x21, x4, 0x1ffffff, &x23); - { uint32_t x26; uint8_t/*bool*/ x27 = subborrow_u26(x24, x6, 0x3ffffff, &x26); - { uint32_t x29; uint8_t/*bool*/ x30 = subborrow_u25(x27, x8, 0x1ffffff, &x29); - { uint32_t x32; uint8_t/*bool*/ x33 = subborrow_u26(x30, x10, 0x3ffffff, &x32); - { uint32_t x35; uint8_t/*bool*/ x36 = subborrow_u25(x33, x12, 0x1ffffff, &x35); - { uint32_t x38; uint8_t/*bool*/ x39 = subborrow_u26(x36, x14, 0x3ffffff, &x38); - { uint32_t x41; uint8_t/*bool*/ x42 = subborrow_u25(x39, x16, 0x1ffffff, &x41); - { uint32_t x44; uint8_t/*bool*/ x45 = subborrow_u26(x42, x18, 0x3ffffff, &x44); - { uint32_t x47; uint8_t/*bool*/ x48 = subborrow_u25(x45, x17, 0x1ffffff, &x47); - { uint32_t x49 = cmovznz32(x48, 0x0, 0xffffffff); - { uint32_t x50 = (x49 & 0x3ffffed); - { uint32_t x52; uint8_t/*bool*/ x53 = addcarryx_u26(0x0, x20, x50, &x52); - { uint32_t x54 = (x49 & 0x1ffffff); - { uint32_t x56; uint8_t/*bool*/ x57 = addcarryx_u25(x53, x23, x54, &x56); - { uint32_t x58 = (x49 & 0x3ffffff); - { uint32_t x60; uint8_t/*bool*/ x61 = addcarryx_u26(x57, x26, x58, &x60); - { uint32_t x62 = (x49 & 0x1ffffff); - { uint32_t x64; uint8_t/*bool*/ x65 = addcarryx_u25(x61, x29, x62, &x64); - { uint32_t x66 = (x49 & 0x3ffffff); - { uint32_t x68; uint8_t/*bool*/ x69 = addcarryx_u26(x65, x32, x66, &x68); - { uint32_t x70 = (x49 & 0x1ffffff); - { uint32_t x72; uint8_t/*bool*/ x73 = addcarryx_u25(x69, x35, x70, &x72); - { uint32_t x74 = (x49 & 0x3ffffff); - { uint32_t x76; uint8_t/*bool*/ x77 = addcarryx_u26(x73, x38, x74, &x76); - { uint32_t x78 = (x49 & 0x1ffffff); - { uint32_t x80; uint8_t/*bool*/ x81 = addcarryx_u25(x77, x41, x78, &x80); - { uint32_t x82 = (x49 & 0x3ffffff); - { uint32_t x84; uint8_t/*bool*/ x85 = addcarryx_u26(x81, x44, x82, &x84); - { uint32_t x86 = (x49 & 0x1ffffff); - { uint32_t x88; addcarryx_u25(x85, x47, x86, &x88); - out[0] = x52; - out[1] = x56; - out[2] = x60; - out[3] = x64; - out[4] = x68; - out[5] = x72; - out[6] = x76; - out[7] = x80; - out[8] = x84; - out[9] = x88; - }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} -} - -static __always_inline void fe_tobytes(uint8_t s[32], const fe *f) -{ - uint32_t h[10]; - fe_freeze(h, f->v); - s[0] = h[0] >> 0; - s[1] = h[0] >> 8; - s[2] = h[0] >> 16; - s[3] = (h[0] >> 24) | (h[1] << 2); - s[4] = h[1] >> 6; - s[5] = h[1] >> 14; - s[6] = (h[1] >> 22) | (h[2] << 3); - s[7] = h[2] >> 5; - s[8] = h[2] >> 13; - s[9] = (h[2] >> 21) | (h[3] << 5); - s[10] = h[3] >> 3; - s[11] = h[3] >> 11; - s[12] = (h[3] >> 19) | (h[4] << 6); - s[13] = h[4] >> 2; - s[14] = h[4] >> 10; - s[15] = h[4] >> 18; - s[16] = h[5] >> 0; - s[17] = h[5] >> 8; - s[18] = h[5] >> 16; - s[19] = (h[5] >> 24) | (h[6] << 1); - s[20] = h[6] >> 7; - s[21] = h[6] >> 15; - s[22] = (h[6] >> 23) | (h[7] << 3); - s[23] = h[7] >> 5; - s[24] = h[7] >> 13; - s[25] = (h[7] >> 21) | (h[8] << 4); - s[26] = h[8] >> 4; - s[27] = h[8] >> 12; - s[28] = (h[8] >> 20) | (h[9] << 6); - s[29] = h[9] >> 2; - s[30] = h[9] >> 10; - s[31] = h[9] >> 18; -} - -/* h = f */ -static __always_inline void fe_copy(fe *h, const fe *f) -{ - __builtin_memmove(h, f, sizeof(uint32_t) * 10); -} - -static __always_inline void fe_copy_lt(fe_loose *h, const fe *f) -{ - __builtin_memmove(h, f, sizeof(uint32_t) * 10); -} - -/* h = 0 */ -static __always_inline void fe_0(fe *h) -{ - __builtin_memset(h, 0, sizeof(uint32_t) * 10); -} - -/* h = 1 */ -static __always_inline void fe_1(fe *h) -{ - __builtin_memset(h, 0, sizeof(uint32_t) * 10); - h->v[0] = 1; -} - -static void fe_add_impl(uint32_t out[10], const uint32_t in1[10], const uint32_t in2[10]) -{ - { const uint32_t x20 = in1[9]; - { const uint32_t x21 = in1[8]; - { const uint32_t x19 = in1[7]; - { const uint32_t x17 = in1[6]; - { const uint32_t x15 = in1[5]; - { const uint32_t x13 = in1[4]; - { const uint32_t x11 = in1[3]; - { const uint32_t x9 = in1[2]; - { const uint32_t x7 = in1[1]; - { const uint32_t x5 = in1[0]; - { const uint32_t x38 = in2[9]; - { const uint32_t x39 = in2[8]; - { const uint32_t x37 = in2[7]; - { const uint32_t x35 = in2[6]; - { const uint32_t x33 = in2[5]; - { const uint32_t x31 = in2[4]; - { const uint32_t x29 = in2[3]; - { const uint32_t x27 = in2[2]; - { const uint32_t x25 = in2[1]; - { const uint32_t x23 = in2[0]; - out[0] = (x5 + x23); - out[1] = (x7 + x25); - out[2] = (x9 + x27); - out[3] = (x11 + x29); - out[4] = (x13 + x31); - out[5] = (x15 + x33); - out[6] = (x17 + x35); - out[7] = (x19 + x37); - out[8] = (x21 + x39); - out[9] = (x20 + x38); - }}}}}}}}}}}}}}}}}}}} -} - -/* h = f + g - * Can overlap h with f or g. - */ -static __always_inline void fe_add(fe_loose *h, const fe *f, const fe *g) -{ - fe_add_impl(h->v, f->v, g->v); -} - -static void fe_sub_impl(uint32_t out[10], const uint32_t in1[10], const uint32_t in2[10]) -{ - { const uint32_t x20 = in1[9]; - { const uint32_t x21 = in1[8]; - { const uint32_t x19 = in1[7]; - { const uint32_t x17 = in1[6]; - { const uint32_t x15 = in1[5]; - { const uint32_t x13 = in1[4]; - { const uint32_t x11 = in1[3]; - { const uint32_t x9 = in1[2]; - { const uint32_t x7 = in1[1]; - { const uint32_t x5 = in1[0]; - { const uint32_t x38 = in2[9]; - { const uint32_t x39 = in2[8]; - { const uint32_t x37 = in2[7]; - { const uint32_t x35 = in2[6]; - { const uint32_t x33 = in2[5]; - { const uint32_t x31 = in2[4]; - { const uint32_t x29 = in2[3]; - { const uint32_t x27 = in2[2]; - { const uint32_t x25 = in2[1]; - { const uint32_t x23 = in2[0]; - out[0] = ((0x7ffffda + x5) - x23); - out[1] = ((0x3fffffe + x7) - x25); - out[2] = ((0x7fffffe + x9) - x27); - out[3] = ((0x3fffffe + x11) - x29); - out[4] = ((0x7fffffe + x13) - x31); - out[5] = ((0x3fffffe + x15) - x33); - out[6] = ((0x7fffffe + x17) - x35); - out[7] = ((0x3fffffe + x19) - x37); - out[8] = ((0x7fffffe + x21) - x39); - out[9] = ((0x3fffffe + x20) - x38); - }}}}}}}}}}}}}}}}}}}} -} - -/* h = f - g - * Can overlap h with f or g. - */ -static __always_inline void fe_sub(fe_loose *h, const fe *f, const fe *g) -{ - fe_sub_impl(h->v, f->v, g->v); -} - -static void fe_mul_impl(uint32_t out[10], const uint32_t in1[10], const uint32_t in2[10]) -{ - { const uint32_t x20 = in1[9]; - { const uint32_t x21 = in1[8]; - { const uint32_t x19 = in1[7]; - { const uint32_t x17 = in1[6]; - { const uint32_t x15 = in1[5]; - { const uint32_t x13 = in1[4]; - { const uint32_t x11 = in1[3]; - { const uint32_t x9 = in1[2]; - { const uint32_t x7 = in1[1]; - { const uint32_t x5 = in1[0]; - { const uint32_t x38 = in2[9]; - { const uint32_t x39 = in2[8]; - { const uint32_t x37 = in2[7]; - { const uint32_t x35 = in2[6]; - { const uint32_t x33 = in2[5]; - { const uint32_t x31 = in2[4]; - { const uint32_t x29 = in2[3]; - { const uint32_t x27 = in2[2]; - { const uint32_t x25 = in2[1]; - { const uint32_t x23 = in2[0]; - { uint64_t x40 = ((uint64_t)x23 * x5); - { uint64_t x41 = (((uint64_t)x23 * x7) + ((uint64_t)x25 * x5)); - { uint64_t x42 = ((((uint64_t)(0x2 * x25) * x7) + ((uint64_t)x23 * x9)) + ((uint64_t)x27 * x5)); - { uint64_t x43 = (((((uint64_t)x25 * x9) + ((uint64_t)x27 * x7)) + ((uint64_t)x23 * x11)) + ((uint64_t)x29 * x5)); - { uint64_t x44 = (((((uint64_t)x27 * x9) + (0x2 * (((uint64_t)x25 * x11) + ((uint64_t)x29 * x7)))) + ((uint64_t)x23 * x13)) + ((uint64_t)x31 * x5)); - { uint64_t x45 = (((((((uint64_t)x27 * x11) + ((uint64_t)x29 * x9)) + ((uint64_t)x25 * x13)) + ((uint64_t)x31 * x7)) + ((uint64_t)x23 * x15)) + ((uint64_t)x33 * x5)); - { uint64_t x46 = (((((0x2 * ((((uint64_t)x29 * x11) + ((uint64_t)x25 * x15)) + ((uint64_t)x33 * x7))) + ((uint64_t)x27 * x13)) + ((uint64_t)x31 * x9)) + ((uint64_t)x23 * x17)) + ((uint64_t)x35 * x5)); - { uint64_t x47 = (((((((((uint64_t)x29 * x13) + ((uint64_t)x31 * x11)) + ((uint64_t)x27 * x15)) + ((uint64_t)x33 * x9)) + ((uint64_t)x25 * x17)) + ((uint64_t)x35 * x7)) + ((uint64_t)x23 * x19)) + ((uint64_t)x37 * x5)); - { uint64_t x48 = (((((((uint64_t)x31 * x13) + (0x2 * (((((uint64_t)x29 * x15) + ((uint64_t)x33 * x11)) + ((uint64_t)x25 * x19)) + ((uint64_t)x37 * x7)))) + ((uint64_t)x27 * x17)) + ((uint64_t)x35 * x9)) + ((uint64_t)x23 * x21)) + ((uint64_t)x39 * x5)); - { uint64_t x49 = (((((((((((uint64_t)x31 * x15) + ((uint64_t)x33 * x13)) + ((uint64_t)x29 * x17)) + ((uint64_t)x35 * x11)) + ((uint64_t)x27 * x19)) + ((uint64_t)x37 * x9)) + ((uint64_t)x25 * x21)) + ((uint64_t)x39 * x7)) + ((uint64_t)x23 * x20)) + ((uint64_t)x38 * x5)); - { uint64_t x50 = (((((0x2 * ((((((uint64_t)x33 * x15) + ((uint64_t)x29 * x19)) + ((uint64_t)x37 * x11)) + ((uint64_t)x25 * x20)) + ((uint64_t)x38 * x7))) + ((uint64_t)x31 * x17)) + ((uint64_t)x35 * x13)) + ((uint64_t)x27 * x21)) + ((uint64_t)x39 * x9)); - { uint64_t x51 = (((((((((uint64_t)x33 * x17) + ((uint64_t)x35 * x15)) + ((uint64_t)x31 * x19)) + ((uint64_t)x37 * x13)) + ((uint64_t)x29 * x21)) + ((uint64_t)x39 * x11)) + ((uint64_t)x27 * x20)) + ((uint64_t)x38 * x9)); - { uint64_t x52 = (((((uint64_t)x35 * x17) + (0x2 * (((((uint64_t)x33 * x19) + ((uint64_t)x37 * x15)) + ((uint64_t)x29 * x20)) + ((uint64_t)x38 * x11)))) + ((uint64_t)x31 * x21)) + ((uint64_t)x39 * x13)); - { uint64_t x53 = (((((((uint64_t)x35 * x19) + ((uint64_t)x37 * x17)) + ((uint64_t)x33 * x21)) + ((uint64_t)x39 * x15)) + ((uint64_t)x31 * x20)) + ((uint64_t)x38 * x13)); - { uint64_t x54 = (((0x2 * ((((uint64_t)x37 * x19) + ((uint64_t)x33 * x20)) + ((uint64_t)x38 * x15))) + ((uint64_t)x35 * x21)) + ((uint64_t)x39 * x17)); - { uint64_t x55 = (((((uint64_t)x37 * x21) + ((uint64_t)x39 * x19)) + ((uint64_t)x35 * x20)) + ((uint64_t)x38 * x17)); - { uint64_t x56 = (((uint64_t)x39 * x21) + (0x2 * (((uint64_t)x37 * x20) + ((uint64_t)x38 * x19)))); - { uint64_t x57 = (((uint64_t)x39 * x20) + ((uint64_t)x38 * x21)); - { uint64_t x58 = ((uint64_t)(0x2 * x38) * x20); - { uint64_t x59 = (x48 + (x58 << 0x4)); - { uint64_t x60 = (x59 + (x58 << 0x1)); - { uint64_t x61 = (x60 + x58); - { uint64_t x62 = (x47 + (x57 << 0x4)); - { uint64_t x63 = (x62 + (x57 << 0x1)); - { uint64_t x64 = (x63 + x57); - { uint64_t x65 = (x46 + (x56 << 0x4)); - { uint64_t x66 = (x65 + (x56 << 0x1)); - { uint64_t x67 = (x66 + x56); - { uint64_t x68 = (x45 + (x55 << 0x4)); - { uint64_t x69 = (x68 + (x55 << 0x1)); - { uint64_t x70 = (x69 + x55); - { uint64_t x71 = (x44 + (x54 << 0x4)); - { uint64_t x72 = (x71 + (x54 << 0x1)); - { uint64_t x73 = (x72 + x54); - { uint64_t x74 = (x43 + (x53 << 0x4)); - { uint64_t x75 = (x74 + (x53 << 0x1)); - { uint64_t x76 = (x75 + x53); - { uint64_t x77 = (x42 + (x52 << 0x4)); - { uint64_t x78 = (x77 + (x52 << 0x1)); - { uint64_t x79 = (x78 + x52); - { uint64_t x80 = (x41 + (x51 << 0x4)); - { uint64_t x81 = (x80 + (x51 << 0x1)); - { uint64_t x82 = (x81 + x51); - { uint64_t x83 = (x40 + (x50 << 0x4)); - { uint64_t x84 = (x83 + (x50 << 0x1)); - { uint64_t x85 = (x84 + x50); - { uint64_t x86 = (x85 >> 0x1a); - { uint32_t x87 = ((uint32_t)x85 & 0x3ffffff); - { uint64_t x88 = (x86 + x82); - { uint64_t x89 = (x88 >> 0x19); - { uint32_t x90 = ((uint32_t)x88 & 0x1ffffff); - { uint64_t x91 = (x89 + x79); - { uint64_t x92 = (x91 >> 0x1a); - { uint32_t x93 = ((uint32_t)x91 & 0x3ffffff); - { uint64_t x94 = (x92 + x76); - { uint64_t x95 = (x94 >> 0x19); - { uint32_t x96 = ((uint32_t)x94 & 0x1ffffff); - { uint64_t x97 = (x95 + x73); - { uint64_t x98 = (x97 >> 0x1a); - { uint32_t x99 = ((uint32_t)x97 & 0x3ffffff); - { uint64_t x100 = (x98 + x70); - { uint64_t x101 = (x100 >> 0x19); - { uint32_t x102 = ((uint32_t)x100 & 0x1ffffff); - { uint64_t x103 = (x101 + x67); - { uint64_t x104 = (x103 >> 0x1a); - { uint32_t x105 = ((uint32_t)x103 & 0x3ffffff); - { uint64_t x106 = (x104 + x64); - { uint64_t x107 = (x106 >> 0x19); - { uint32_t x108 = ((uint32_t)x106 & 0x1ffffff); - { uint64_t x109 = (x107 + x61); - { uint64_t x110 = (x109 >> 0x1a); - { uint32_t x111 = ((uint32_t)x109 & 0x3ffffff); - { uint64_t x112 = (x110 + x49); - { uint64_t x113 = (x112 >> 0x19); - { uint32_t x114 = ((uint32_t)x112 & 0x1ffffff); - { uint64_t x115 = (x87 + (0x13 * x113)); - { uint32_t x116 = (uint32_t) (x115 >> 0x1a); - { uint32_t x117 = ((uint32_t)x115 & 0x3ffffff); - { uint32_t x118 = (x116 + x90); - { uint32_t x119 = (x118 >> 0x19); - { uint32_t x120 = (x118 & 0x1ffffff); - out[0] = x117; - out[1] = x120; - out[2] = (x119 + x93); - out[3] = x96; - out[4] = x99; - out[5] = x102; - out[6] = x105; - out[7] = x108; - out[8] = x111; - out[9] = x114; - }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} -} - -static __always_inline void fe_mul_ttt(fe *h, const fe *f, const fe *g) -{ - fe_mul_impl(h->v, f->v, g->v); -} - -static __always_inline void fe_mul_tlt(fe *h, const fe_loose *f, const fe *g) -{ - fe_mul_impl(h->v, f->v, g->v); -} - -static __always_inline void fe_mul_tll(fe *h, const fe_loose *f, const fe_loose *g) -{ - fe_mul_impl(h->v, f->v, g->v); -} - -static void fe_sqr_impl(uint32_t out[10], const uint32_t in1[10]) -{ - { const uint32_t x17 = in1[9]; - { const uint32_t x18 = in1[8]; - { const uint32_t x16 = in1[7]; - { const uint32_t x14 = in1[6]; - { const uint32_t x12 = in1[5]; - { const uint32_t x10 = in1[4]; - { const uint32_t x8 = in1[3]; - { const uint32_t x6 = in1[2]; - { const uint32_t x4 = in1[1]; - { const uint32_t x2 = in1[0]; - { uint64_t x19 = ((uint64_t)x2 * x2); - { uint64_t x20 = ((uint64_t)(0x2 * x2) * x4); - { uint64_t x21 = (0x2 * (((uint64_t)x4 * x4) + ((uint64_t)x2 * x6))); - { uint64_t x22 = (0x2 * (((uint64_t)x4 * x6) + ((uint64_t)x2 * x8))); - { uint64_t x23 = ((((uint64_t)x6 * x6) + ((uint64_t)(0x4 * x4) * x8)) + ((uint64_t)(0x2 * x2) * x10)); - { uint64_t x24 = (0x2 * ((((uint64_t)x6 * x8) + ((uint64_t)x4 * x10)) + ((uint64_t)x2 * x12))); - { uint64_t x25 = (0x2 * (((((uint64_t)x8 * x8) + ((uint64_t)x6 * x10)) + ((uint64_t)x2 * x14)) + ((uint64_t)(0x2 * x4) * x12))); - { uint64_t x26 = (0x2 * (((((uint64_t)x8 * x10) + ((uint64_t)x6 * x12)) + ((uint64_t)x4 * x14)) + ((uint64_t)x2 * x16))); - { uint64_t x27 = (((uint64_t)x10 * x10) + (0x2 * ((((uint64_t)x6 * x14) + ((uint64_t)x2 * x18)) + (0x2 * (((uint64_t)x4 * x16) + ((uint64_t)x8 * x12)))))); - { uint64_t x28 = (0x2 * ((((((uint64_t)x10 * x12) + ((uint64_t)x8 * x14)) + ((uint64_t)x6 * x16)) + ((uint64_t)x4 * x18)) + ((uint64_t)x2 * x17))); - { uint64_t x29 = (0x2 * (((((uint64_t)x12 * x12) + ((uint64_t)x10 * x14)) + ((uint64_t)x6 * x18)) + (0x2 * (((uint64_t)x8 * x16) + ((uint64_t)x4 * x17))))); - { uint64_t x30 = (0x2 * (((((uint64_t)x12 * x14) + ((uint64_t)x10 * x16)) + ((uint64_t)x8 * x18)) + ((uint64_t)x6 * x17))); - { uint64_t x31 = (((uint64_t)x14 * x14) + (0x2 * (((uint64_t)x10 * x18) + (0x2 * (((uint64_t)x12 * x16) + ((uint64_t)x8 * x17)))))); - { uint64_t x32 = (0x2 * ((((uint64_t)x14 * x16) + ((uint64_t)x12 * x18)) + ((uint64_t)x10 * x17))); - { uint64_t x33 = (0x2 * ((((uint64_t)x16 * x16) + ((uint64_t)x14 * x18)) + ((uint64_t)(0x2 * x12) * x17))); - { uint64_t x34 = (0x2 * (((uint64_t)x16 * x18) + ((uint64_t)x14 * x17))); - { uint64_t x35 = (((uint64_t)x18 * x18) + ((uint64_t)(0x4 * x16) * x17)); - { uint64_t x36 = ((uint64_t)(0x2 * x18) * x17); - { uint64_t x37 = ((uint64_t)(0x2 * x17) * x17); - { uint64_t x38 = (x27 + (x37 << 0x4)); - { uint64_t x39 = (x38 + (x37 << 0x1)); - { uint64_t x40 = (x39 + x37); - { uint64_t x41 = (x26 + (x36 << 0x4)); - { uint64_t x42 = (x41 + (x36 << 0x1)); - { uint64_t x43 = (x42 + x36); - { uint64_t x44 = (x25 + (x35 << 0x4)); - { uint64_t x45 = (x44 + (x35 << 0x1)); - { uint64_t x46 = (x45 + x35); - { uint64_t x47 = (x24 + (x34 << 0x4)); - { uint64_t x48 = (x47 + (x34 << 0x1)); - { uint64_t x49 = (x48 + x34); - { uint64_t x50 = (x23 + (x33 << 0x4)); - { uint64_t x51 = (x50 + (x33 << 0x1)); - { uint64_t x52 = (x51 + x33); - { uint64_t x53 = (x22 + (x32 << 0x4)); - { uint64_t x54 = (x53 + (x32 << 0x1)); - { uint64_t x55 = (x54 + x32); - { uint64_t x56 = (x21 + (x31 << 0x4)); - { uint64_t x57 = (x56 + (x31 << 0x1)); - { uint64_t x58 = (x57 + x31); - { uint64_t x59 = (x20 + (x30 << 0x4)); - { uint64_t x60 = (x59 + (x30 << 0x1)); - { uint64_t x61 = (x60 + x30); - { uint64_t x62 = (x19 + (x29 << 0x4)); - { uint64_t x63 = (x62 + (x29 << 0x1)); - { uint64_t x64 = (x63 + x29); - { uint64_t x65 = (x64 >> 0x1a); - { uint32_t x66 = ((uint32_t)x64 & 0x3ffffff); - { uint64_t x67 = (x65 + x61); - { uint64_t x68 = (x67 >> 0x19); - { uint32_t x69 = ((uint32_t)x67 & 0x1ffffff); - { uint64_t x70 = (x68 + x58); - { uint64_t x71 = (x70 >> 0x1a); - { uint32_t x72 = ((uint32_t)x70 & 0x3ffffff); - { uint64_t x73 = (x71 + x55); - { uint64_t x74 = (x73 >> 0x19); - { uint32_t x75 = ((uint32_t)x73 & 0x1ffffff); - { uint64_t x76 = (x74 + x52); - { uint64_t x77 = (x76 >> 0x1a); - { uint32_t x78 = ((uint32_t)x76 & 0x3ffffff); - { uint64_t x79 = (x77 + x49); - { uint64_t x80 = (x79 >> 0x19); - { uint32_t x81 = ((uint32_t)x79 & 0x1ffffff); - { uint64_t x82 = (x80 + x46); - { uint64_t x83 = (x82 >> 0x1a); - { uint32_t x84 = ((uint32_t)x82 & 0x3ffffff); - { uint64_t x85 = (x83 + x43); - { uint64_t x86 = (x85 >> 0x19); - { uint32_t x87 = ((uint32_t)x85 & 0x1ffffff); - { uint64_t x88 = (x86 + x40); - { uint64_t x89 = (x88 >> 0x1a); - { uint32_t x90 = ((uint32_t)x88 & 0x3ffffff); - { uint64_t x91 = (x89 + x28); - { uint64_t x92 = (x91 >> 0x19); - { uint32_t x93 = ((uint32_t)x91 & 0x1ffffff); - { uint64_t x94 = (x66 + (0x13 * x92)); - { uint32_t x95 = (uint32_t) (x94 >> 0x1a); - { uint32_t x96 = ((uint32_t)x94 & 0x3ffffff); - { uint32_t x97 = (x95 + x69); - { uint32_t x98 = (x97 >> 0x19); - { uint32_t x99 = (x97 & 0x1ffffff); - out[0] = x96; - out[1] = x99; - out[2] = (x98 + x72); - out[3] = x75; - out[4] = x78; - out[5] = x81; - out[6] = x84; - out[7] = x87; - out[8] = x90; - out[9] = x93; - }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} -} - -static __always_inline void fe_sq_tl(fe *h, const fe_loose *f) -{ - fe_sqr_impl(h->v, f->v); -} - -static __always_inline void fe_sq_tt(fe *h, const fe *f) -{ - fe_sqr_impl(h->v, f->v); -} - -static __always_inline void fe_loose_invert(fe *out, const fe_loose *z) -{ - fe t0; - fe t1; - fe t2; - fe t3; - int i; - - fe_sq_tl(&t0, z); - fe_sq_tt(&t1, &t0); - for (i = 1; i < 2; ++i) - fe_sq_tt(&t1, &t1); - fe_mul_tlt(&t1, z, &t1); - fe_mul_ttt(&t0, &t0, &t1); - fe_sq_tt(&t2, &t0); - fe_mul_ttt(&t1, &t1, &t2); - fe_sq_tt(&t2, &t1); - for (i = 1; i < 5; ++i) - fe_sq_tt(&t2, &t2); - fe_mul_ttt(&t1, &t2, &t1); - fe_sq_tt(&t2, &t1); - for (i = 1; i < 10; ++i) - fe_sq_tt(&t2, &t2); - fe_mul_ttt(&t2, &t2, &t1); - fe_sq_tt(&t3, &t2); - for (i = 1; i < 20; ++i) - fe_sq_tt(&t3, &t3); - fe_mul_ttt(&t2, &t3, &t2); - fe_sq_tt(&t2, &t2); - for (i = 1; i < 10; ++i) - fe_sq_tt(&t2, &t2); - fe_mul_ttt(&t1, &t2, &t1); - fe_sq_tt(&t2, &t1); - for (i = 1; i < 50; ++i) - fe_sq_tt(&t2, &t2); - fe_mul_ttt(&t2, &t2, &t1); - fe_sq_tt(&t3, &t2); - for (i = 1; i < 100; ++i) - fe_sq_tt(&t3, &t3); - fe_mul_ttt(&t2, &t3, &t2); - fe_sq_tt(&t2, &t2); - for (i = 1; i < 50; ++i) - fe_sq_tt(&t2, &t2); - fe_mul_ttt(&t1, &t2, &t1); - fe_sq_tt(&t1, &t1); - for (i = 1; i < 5; ++i) - fe_sq_tt(&t1, &t1); - fe_mul_ttt(out, &t1, &t0); -} - -static __always_inline void fe_invert(fe *out, const fe *z) -{ - fe_loose l; - fe_copy_lt(&l, z); - fe_loose_invert(out, &l); -} - -/* Replace (f,g) with (g,f) if b == 1; - * replace (f,g) with (f,g) if b == 0. - * - * Preconditions: b in {0,1} - */ -static __always_inline void fe_cswap(fe *f, fe *g, unsigned int b) -{ - unsigned i; - b = 0-b; - for (i = 0; i < 10; i++) { - uint32_t x = f->v[i] ^ g->v[i]; - x &= b; - f->v[i] ^= x; - g->v[i] ^= x; - } -} - -/* NOTE: based on fiat-crypto fe_mul, edited for in2=121666, 0, 0.*/ -static __always_inline void fe_mul_121666_impl(uint32_t out[10], const uint32_t in1[10]) -{ - { const uint32_t x20 = in1[9]; - { const uint32_t x21 = in1[8]; - { const uint32_t x19 = in1[7]; - { const uint32_t x17 = in1[6]; - { const uint32_t x15 = in1[5]; - { const uint32_t x13 = in1[4]; - { const uint32_t x11 = in1[3]; - { const uint32_t x9 = in1[2]; - { const uint32_t x7 = in1[1]; - { const uint32_t x5 = in1[0]; - { const uint32_t x38 = 0; - { const uint32_t x39 = 0; - { const uint32_t x37 = 0; - { const uint32_t x35 = 0; - { const uint32_t x33 = 0; - { const uint32_t x31 = 0; - { const uint32_t x29 = 0; - { const uint32_t x27 = 0; - { const uint32_t x25 = 0; - { const uint32_t x23 = 121666; - { uint64_t x40 = ((uint64_t)x23 * x5); - { uint64_t x41 = (((uint64_t)x23 * x7) + ((uint64_t)x25 * x5)); - { uint64_t x42 = ((((uint64_t)(0x2 * x25) * x7) + ((uint64_t)x23 * x9)) + ((uint64_t)x27 * x5)); - { uint64_t x43 = (((((uint64_t)x25 * x9) + ((uint64_t)x27 * x7)) + ((uint64_t)x23 * x11)) + ((uint64_t)x29 * x5)); - { uint64_t x44 = (((((uint64_t)x27 * x9) + (0x2 * (((uint64_t)x25 * x11) + ((uint64_t)x29 * x7)))) + ((uint64_t)x23 * x13)) + ((uint64_t)x31 * x5)); - { uint64_t x45 = (((((((uint64_t)x27 * x11) + ((uint64_t)x29 * x9)) + ((uint64_t)x25 * x13)) + ((uint64_t)x31 * x7)) + ((uint64_t)x23 * x15)) + ((uint64_t)x33 * x5)); - { uint64_t x46 = (((((0x2 * ((((uint64_t)x29 * x11) + ((uint64_t)x25 * x15)) + ((uint64_t)x33 * x7))) + ((uint64_t)x27 * x13)) + ((uint64_t)x31 * x9)) + ((uint64_t)x23 * x17)) + ((uint64_t)x35 * x5)); - { uint64_t x47 = (((((((((uint64_t)x29 * x13) + ((uint64_t)x31 * x11)) + ((uint64_t)x27 * x15)) + ((uint64_t)x33 * x9)) + ((uint64_t)x25 * x17)) + ((uint64_t)x35 * x7)) + ((uint64_t)x23 * x19)) + ((uint64_t)x37 * x5)); - { uint64_t x48 = (((((((uint64_t)x31 * x13) + (0x2 * (((((uint64_t)x29 * x15) + ((uint64_t)x33 * x11)) + ((uint64_t)x25 * x19)) + ((uint64_t)x37 * x7)))) + ((uint64_t)x27 * x17)) + ((uint64_t)x35 * x9)) + ((uint64_t)x23 * x21)) + ((uint64_t)x39 * x5)); - { uint64_t x49 = (((((((((((uint64_t)x31 * x15) + ((uint64_t)x33 * x13)) + ((uint64_t)x29 * x17)) + ((uint64_t)x35 * x11)) + ((uint64_t)x27 * x19)) + ((uint64_t)x37 * x9)) + ((uint64_t)x25 * x21)) + ((uint64_t)x39 * x7)) + ((uint64_t)x23 * x20)) + ((uint64_t)x38 * x5)); - { uint64_t x50 = (((((0x2 * ((((((uint64_t)x33 * x15) + ((uint64_t)x29 * x19)) + ((uint64_t)x37 * x11)) + ((uint64_t)x25 * x20)) + ((uint64_t)x38 * x7))) + ((uint64_t)x31 * x17)) + ((uint64_t)x35 * x13)) + ((uint64_t)x27 * x21)) + ((uint64_t)x39 * x9)); - { uint64_t x51 = (((((((((uint64_t)x33 * x17) + ((uint64_t)x35 * x15)) + ((uint64_t)x31 * x19)) + ((uint64_t)x37 * x13)) + ((uint64_t)x29 * x21)) + ((uint64_t)x39 * x11)) + ((uint64_t)x27 * x20)) + ((uint64_t)x38 * x9)); - { uint64_t x52 = (((((uint64_t)x35 * x17) + (0x2 * (((((uint64_t)x33 * x19) + ((uint64_t)x37 * x15)) + ((uint64_t)x29 * x20)) + ((uint64_t)x38 * x11)))) + ((uint64_t)x31 * x21)) + ((uint64_t)x39 * x13)); - { uint64_t x53 = (((((((uint64_t)x35 * x19) + ((uint64_t)x37 * x17)) + ((uint64_t)x33 * x21)) + ((uint64_t)x39 * x15)) + ((uint64_t)x31 * x20)) + ((uint64_t)x38 * x13)); - { uint64_t x54 = (((0x2 * ((((uint64_t)x37 * x19) + ((uint64_t)x33 * x20)) + ((uint64_t)x38 * x15))) + ((uint64_t)x35 * x21)) + ((uint64_t)x39 * x17)); - { uint64_t x55 = (((((uint64_t)x37 * x21) + ((uint64_t)x39 * x19)) + ((uint64_t)x35 * x20)) + ((uint64_t)x38 * x17)); - { uint64_t x56 = (((uint64_t)x39 * x21) + (0x2 * (((uint64_t)x37 * x20) + ((uint64_t)x38 * x19)))); - { uint64_t x57 = (((uint64_t)x39 * x20) + ((uint64_t)x38 * x21)); - { uint64_t x58 = ((uint64_t)(0x2 * x38) * x20); - { uint64_t x59 = (x48 + (x58 << 0x4)); - { uint64_t x60 = (x59 + (x58 << 0x1)); - { uint64_t x61 = (x60 + x58); - { uint64_t x62 = (x47 + (x57 << 0x4)); - { uint64_t x63 = (x62 + (x57 << 0x1)); - { uint64_t x64 = (x63 + x57); - { uint64_t x65 = (x46 + (x56 << 0x4)); - { uint64_t x66 = (x65 + (x56 << 0x1)); - { uint64_t x67 = (x66 + x56); - { uint64_t x68 = (x45 + (x55 << 0x4)); - { uint64_t x69 = (x68 + (x55 << 0x1)); - { uint64_t x70 = (x69 + x55); - { uint64_t x71 = (x44 + (x54 << 0x4)); - { uint64_t x72 = (x71 + (x54 << 0x1)); - { uint64_t x73 = (x72 + x54); - { uint64_t x74 = (x43 + (x53 << 0x4)); - { uint64_t x75 = (x74 + (x53 << 0x1)); - { uint64_t x76 = (x75 + x53); - { uint64_t x77 = (x42 + (x52 << 0x4)); - { uint64_t x78 = (x77 + (x52 << 0x1)); - { uint64_t x79 = (x78 + x52); - { uint64_t x80 = (x41 + (x51 << 0x4)); - { uint64_t x81 = (x80 + (x51 << 0x1)); - { uint64_t x82 = (x81 + x51); - { uint64_t x83 = (x40 + (x50 << 0x4)); - { uint64_t x84 = (x83 + (x50 << 0x1)); - { uint64_t x85 = (x84 + x50); - { uint64_t x86 = (x85 >> 0x1a); - { uint32_t x87 = ((uint32_t)x85 & 0x3ffffff); - { uint64_t x88 = (x86 + x82); - { uint64_t x89 = (x88 >> 0x19); - { uint32_t x90 = ((uint32_t)x88 & 0x1ffffff); - { uint64_t x91 = (x89 + x79); - { uint64_t x92 = (x91 >> 0x1a); - { uint32_t x93 = ((uint32_t)x91 & 0x3ffffff); - { uint64_t x94 = (x92 + x76); - { uint64_t x95 = (x94 >> 0x19); - { uint32_t x96 = ((uint32_t)x94 & 0x1ffffff); - { uint64_t x97 = (x95 + x73); - { uint64_t x98 = (x97 >> 0x1a); - { uint32_t x99 = ((uint32_t)x97 & 0x3ffffff); - { uint64_t x100 = (x98 + x70); - { uint64_t x101 = (x100 >> 0x19); - { uint32_t x102 = ((uint32_t)x100 & 0x1ffffff); - { uint64_t x103 = (x101 + x67); - { uint64_t x104 = (x103 >> 0x1a); - { uint32_t x105 = ((uint32_t)x103 & 0x3ffffff); - { uint64_t x106 = (x104 + x64); - { uint64_t x107 = (x106 >> 0x19); - { uint32_t x108 = ((uint32_t)x106 & 0x1ffffff); - { uint64_t x109 = (x107 + x61); - { uint64_t x110 = (x109 >> 0x1a); - { uint32_t x111 = ((uint32_t)x109 & 0x3ffffff); - { uint64_t x112 = (x110 + x49); - { uint64_t x113 = (x112 >> 0x19); - { uint32_t x114 = ((uint32_t)x112 & 0x1ffffff); - { uint64_t x115 = (x87 + (0x13 * x113)); - { uint32_t x116 = (uint32_t) (x115 >> 0x1a); - { uint32_t x117 = ((uint32_t)x115 & 0x3ffffff); - { uint32_t x118 = (x116 + x90); - { uint32_t x119 = (x118 >> 0x19); - { uint32_t x120 = (x118 & 0x1ffffff); - out[0] = x117; - out[1] = x120; - out[2] = (x119 + x93); - out[3] = x96; - out[4] = x99; - out[5] = x102; - out[6] = x105; - out[7] = x108; - out[8] = x111; - out[9] = x114; - }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} -} - -static __always_inline void fe_mul121666(fe *h, const fe_loose *f) -{ - fe_mul_121666_impl(h->v, f->v); -} - -static __always_inline void normalize_secret(uint8_t secret[static 32]) +static __always_inline void normalize_secret(u8 secret[CURVE25519_POINT_SIZE]) { secret[0] &= 248; secret[31] &= 127; secret[31] |= 64; } -static void curve25519(uint8_t out[static 32], const uint8_t scalar[static 32], const uint8_t point[static 32]) +#include "../../../../src/crypto/curve25519-fiat32.h" + +EMSCRIPTEN_KEEPALIVE void curve25519_generate_public(u8 public[static 32], const u8 private[static 32]) { - fe x1, x2, z2, x3, z3, tmp0, tmp1; - fe_loose x2l, z2l, x3l, tmp0l, tmp1l; - unsigned swap = 0; - int pos; - uint8_t e[32]; + static const u8 basepoint[32] = { 9 }; - __builtin_memcpy(e, scalar, 32); - normalize_secret(e); - - /* The following implementation was transcribed to Coq and proven to - * correspond to unary scalar multiplication in affine coordinates given that - * x1 != 0 is the x coordinate of some point on the curve. It was also checked - * in Coq that doing a ladderstep with x1 = x3 = 0 gives z2' = z3' = 0, and z2 - * = z3 = 0 gives z2' = z3' = 0. The statement was quantified over the - * underlying field, so it applies to Curve25519 itself and the quadratic - * twist of Curve25519. It was not proven in Coq that prime-field arithmetic - * correctly simulates extension-field arithmetic on prime-field values. - * The decoding of the byte array representation of e was not considered. - * Specification of Montgomery curves in affine coordinates: - * - * Proof that these form a group that is isomorphic to a Weierstrass curve: - * - * Coq transcription and correctness proof of the loop (where scalarbits=255): - * - * - * preconditions: 0 <= e < 2^255 (not necessarily e < order), fe_invert(0) = 0 - */ - fe_frombytes(&x1, point); - fe_1(&x2); - fe_0(&z2); - fe_copy(&x3, &x1); - fe_1(&z3); - - for (pos = 254; pos >= 0; --pos) { - /* loop invariant as of right before the test, for the case where x1 != 0: - * pos >= -1; if z2 = 0 then x2 is nonzero; if z3 = 0 then x3 is nonzero - * let r := e >> (pos+1) in the following equalities of projective points: - * to_xz (r*P) === if swap then (x3, z3) else (x2, z2) - * to_xz ((r+1)*P) === if swap then (x2, z2) else (x3, z3) - * x1 is the nonzero x coordinate of the nonzero point (r*P-(r+1)*P) - */ - unsigned b = 1 & (e[pos / 8] >> (pos & 7)); - swap ^= b; - fe_cswap(&x2, &x3, swap); - fe_cswap(&z2, &z3, swap); - swap = b; - /* Coq transcription of ladderstep formula (called from transcribed loop): - * - * - * x1 != 0 - * x1 = 0 - */ - fe_sub(&tmp0l, &x3, &z3); - fe_sub(&tmp1l, &x2, &z2); - fe_add(&x2l, &x2, &z2); - fe_add(&z2l, &x3, &z3); - fe_mul_tll(&z3, &tmp0l, &x2l); - fe_mul_tll(&z2, &z2l, &tmp1l); - fe_sq_tl(&tmp0, &tmp1l); - fe_sq_tl(&tmp1, &x2l); - fe_add(&x3l, &z3, &z2); - fe_sub(&z2l, &z3, &z2); - fe_mul_ttt(&x2, &tmp1, &tmp0); - fe_sub(&tmp1l, &tmp1, &tmp0); - fe_sq_tl(&z2, &z2l); - fe_mul121666(&z3, &tmp1l); - fe_sq_tl(&x3, &x3l); - fe_add(&tmp0l, &tmp0, &z3); - fe_mul_ttt(&z3, &x1, &z2); - fe_mul_tll(&z2, &tmp1l, &tmp0l); - } - /* here pos=-1, so r=e, so to_xz (e*P) === if swap then (x3, z3) else (x2, z2) */ - fe_cswap(&x2, &x3, swap); - fe_cswap(&z2, &z3, swap); - - fe_invert(&z2, &z2); - fe_mul_ttt(&x2, &x2, &z2); - fe_tobytes(out, &x2); + curve25519_generic(public, private, basepoint); } -EMSCRIPTEN_KEEPALIVE void curve25519_generate_public(uint8_t public[static 32], const uint8_t private[static 32]) -{ - static const uint8_t basepoint[32] = { 9 }; - - curve25519(public, private, basepoint); -} - -EMSCRIPTEN_KEEPALIVE void curve25519_generate_private(uint8_t private[static 32]) +EMSCRIPTEN_KEEPALIVE void curve25519_generate_private(u8 private[static 32]) { int i; @@ -876,9 +76,9 @@ EMSCRIPTEN_KEEPALIVE void curve25519_generate_private(uint8_t private[static 32] normalize_secret(private); } -static inline void encode_base64(char dest[4], const uint8_t src[3]) +static inline void encode_base64(char dest[4], const u8 src[3]) { - const uint8_t input[] = { (src[0] >> 2) & 63, ((src[0] << 4) | (src[1] >> 4)) & 63, ((src[1] << 2) | (src[2] >> 6)) & 63, src[2] & 63 }; + const u8 input[] = { (src[0] >> 2) & 63, ((src[0] << 4) | (src[1] >> 4)) & 63, ((src[1] << 2) | (src[2] >> 6)) & 63, src[2] & 63 }; for (unsigned int i = 0; i < 4; ++i) dest[i] = input[i] + 'A' @@ -889,13 +89,13 @@ static inline void encode_base64(char dest[4], const uint8_t src[3]) } -EMSCRIPTEN_KEEPALIVE void key_to_base64(char base64[static 45], const uint8_t key[static 32]) +EMSCRIPTEN_KEEPALIVE void key_to_base64(char base64[static 45], const u8 key[static 32]) { unsigned int i; for (i = 0; i < 32 / 3; ++i) encode_base64(&base64[i * 4], &key[i * 3]); - encode_base64(&base64[i * 4], (const uint8_t[]){ key[i * 3 + 0], key[i * 3 + 1], 0 }); + encode_base64(&base64[i * 4], (const u8[]){ key[i * 3 + 0], key[i * 3 + 1], 0 }); base64[45 - 2] = '='; base64[45 - 1] = '\0'; }