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authorJason A. Donenfeld <Jason@zx2c4.com>2018-01-22 17:58:44 +0100
committerJason A. Donenfeld <Jason@zx2c4.com>2018-01-23 11:55:44 +0100
commit6b28fa69ad38d1a183beb288a5547a3ca0b002ed (patch)
tree79cbf795703e4a5d5e42a907333bb1780f407664
parentpoly1305: add poly-specific self-tests (diff)
downloadwireguard-monolithic-historical-6b28fa69ad38d1a183beb288a5547a3ca0b002ed.tar.xz
wireguard-monolithic-historical-6b28fa69ad38d1a183beb288a5547a3ca0b002ed.zip
tools: share curve25519 implementations with kernel
-rw-r--r--src/tests/qemu/Makefile4
-rw-r--r--src/tools/curve25519.c1569
2 files changed, 32 insertions, 1541 deletions
diff --git a/src/tests/qemu/Makefile b/src/tests/qemu/Makefile
index 99b9ab3..7f64c70 100644
--- a/src/tests/qemu/Makefile
+++ b/src/tests/qemu/Makefile
@@ -25,7 +25,7 @@ DOWNLOAD := wget -O
MIRROR := https://download.wireguard.com/qemu-test/distfiles/
WIREGUARD_SOURCES := $(wildcard ../../*.c ../../*.h ../../selftest/*.h ../../crypto/*.c ../../crypto/*.h ../../crypto/*.S ../../compat/*.h)
-TOOLS_SOURCES := $(wildcard ../../tools/*.c ../../tools/*.h ../../uapi/*.h)
+TOOLS_SOURCES := $(wildcard ../../tools/*.c ../../tools/*.h ../../uapi/*.h ../../crypto/curve25519-hacl64.h ../../crypto/curve25519-fiat32.h)
default: qemu
@@ -265,7 +265,7 @@ $(LIBMNL_PATH)/src/.libs/libmnl.a: | $(LIBMNL_PATH)/.installed $(USERSPACE_DEPS)
$(BUILD_PATH)/tools/wg: $(TOOLS_SOURCES) | $(LIBMNL_PATH)/src/.libs/libmnl.a $(USERSPACE_DEPS)
mkdir -p $(BUILD_PATH)
- cp -pr ../../uapi ../../tools $(BUILD_PATH)/
+ cp -pr ../../uapi ../../crypto ../../tools $(BUILD_PATH)/
$(MAKE) -C $(BUILD_PATH)/tools clean
LDFLAGS="$(LDFLAGS) -L$(LIBMNL_PATH)/src/.libs" $(MAKE) -C $(BUILD_PATH)/tools LIBMNL_CFLAGS="-I$(LIBMNL_PATH)/include" LIBMNL_LDLIBS="-lmnl" wg
$(STRIP) -s $@
diff --git a/src/tools/curve25519.c b/src/tools/curve25519.c
index 7f6c9bf..061b913 100644
--- a/src/tools/curve25519.c
+++ b/src/tools/curve25519.c
@@ -14,1559 +14,45 @@
#include <string.h>
#include <endian.h>
+typedef uint64_t u64;
+typedef uint32_t u32;
+typedef uint8_t u8;
+typedef int64_t s64;
+typedef u64 __le64;
+typedef u32 __le32;
+#define le64_to_cpup(a) le64toh(*(a));
+#define le32_to_cpup(a) le32toh(*(a));
+#define cpu_to_le64(a) htole64(a);
#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
+#ifndef __force
+#define __force
+#endif
-#ifdef __SIZEOF_INT128__
-typedef __uint128_t uint128_t;
-
-static __always_inline uint64_t uint64_t_eq_mask(uint64_t x, uint64_t y)
-{
- x = ~(x ^ y);
- x &= x << 32;
- x &= x << 16;
- x &= x << 8;
- x &= x << 4;
- x &= x << 2;
- x &= x << 1;
- return ((int64_t)x) >> 63;
-}
-
-static __always_inline uint64_t uint64_t_gte_mask(uint64_t x, uint64_t y)
-{
- uint64_t low63 = ~((uint64_t)((int64_t)((int64_t)(x & 0x7fffffffffffffffLLU) - (int64_t)(y & 0x7fffffffffffffffLLU)) >> 63));
- uint64_t high_bit = ~((uint64_t)((int64_t)((int64_t)(x & 0x8000000000000000LLU) - (int64_t)(y & 0x8000000000000000LLU)) >> 63));
- return low63 & high_bit;
-}
-
-static __always_inline void modulo_carry_top(uint64_t *b)
-{
- uint64_t b4 = b[4];
- uint64_t b0 = b[0];
- uint64_t b4_ = b4 & 0x7ffffffffffffLLU;
- uint64_t b0_ = b0 + 19 * (b4 >> 51);
- b[4] = b4_;
- b[0] = b0_;
-}
-
-static __always_inline void fproduct_copy_from_wide_(uint64_t *output, uint128_t *input)
-{
- {
- uint128_t xi = input[0];
- output[0] = ((uint64_t)(xi));
- }
- {
- uint128_t xi = input[1];
- output[1] = ((uint64_t)(xi));
- }
- {
- uint128_t xi = input[2];
- output[2] = ((uint64_t)(xi));
- }
- {
- uint128_t xi = input[3];
- output[3] = ((uint64_t)(xi));
- }
- {
- uint128_t xi = input[4];
- output[4] = ((uint64_t)(xi));
- }
-}
-
-static __always_inline void fproduct_sum_scalar_multiplication_(uint128_t *output, uint64_t *input, uint64_t s)
-{
- uint32_t i;
- for (i = 0; i < 5; ++i) {
- uint128_t xi = output[i];
- uint64_t yi = input[i];
- output[i] = ((xi) + (((uint128_t)(yi) * (s))));
- }
-}
-
-static __always_inline void fproduct_carry_wide_(uint128_t *tmp)
-{
- uint32_t i;
- for (i = 0; i < 4; ++i) {
- uint32_t ctr = i;
- uint128_t tctr = tmp[ctr];
- uint128_t tctrp1 = tmp[ctr + 1];
- uint64_t r0 = ((uint64_t)(tctr)) & 0x7ffffffffffffLLU;
- uint128_t c = ((tctr) >> (51));
- tmp[ctr] = ((uint128_t)(r0));
- tmp[ctr + 1] = ((tctrp1) + (c));
- }
-}
-
-static __always_inline void fmul_shift_reduce(uint64_t *output)
-{
- uint64_t tmp = output[4];
- uint64_t b0;
- {
- uint32_t ctr = 5 - 0 - 1;
- uint64_t z = output[ctr - 1];
- output[ctr] = z;
- }
- {
- uint32_t ctr = 5 - 1 - 1;
- uint64_t z = output[ctr - 1];
- output[ctr] = z;
- }
- {
- uint32_t ctr = 5 - 2 - 1;
- uint64_t z = output[ctr - 1];
- output[ctr] = z;
- }
- {
- uint32_t ctr = 5 - 3 - 1;
- uint64_t z = output[ctr - 1];
- output[ctr] = z;
- }
- output[0] = tmp;
- b0 = output[0];
- output[0] = 19 * b0;
-}
-
-static __always_inline void fmul_mul_shift_reduce_(uint128_t *output, uint64_t *input, uint64_t *input21)
-{
- uint32_t i;
- uint64_t input2i;
- {
- uint64_t input2i = input21[0];
- fproduct_sum_scalar_multiplication_(output, input, input2i);
- fmul_shift_reduce(input);
- }
- {
- uint64_t input2i = input21[1];
- fproduct_sum_scalar_multiplication_(output, input, input2i);
- fmul_shift_reduce(input);
- }
- {
- uint64_t input2i = input21[2];
- fproduct_sum_scalar_multiplication_(output, input, input2i);
- fmul_shift_reduce(input);
- }
- {
- uint64_t input2i = input21[3];
- fproduct_sum_scalar_multiplication_(output, input, input2i);
- fmul_shift_reduce(input);
- }
- i = 4;
- input2i = input21[i];
- fproduct_sum_scalar_multiplication_(output, input, input2i);
-}
-
-static __always_inline void fmul_fmul(uint64_t *output, uint64_t *input, uint64_t *input21)
-{
- uint64_t tmp[5];
- memcpy(tmp, input, 5 * sizeof(*input));
- {
- uint128_t b4;
- uint128_t b0;
- uint128_t b4_;
- uint128_t b0_;
- uint64_t i0;
- uint64_t i1;
- uint64_t i0_;
- uint64_t i1_;
- uint128_t t[5];
- {
- uint32_t _i;
- for (_i = 0; _i < 5; ++_i)
- t[_i] = ((uint128_t)(0));
- }
- fmul_mul_shift_reduce_(t, tmp, input21);
- fproduct_carry_wide_(t);
- b4 = t[4];
- b0 = t[0];
- b4_ = ((b4) & (((uint128_t)(0x7ffffffffffffLLU))));
- b0_ = ((b0) + (((uint128_t)(19) * (((uint64_t)(((b4) >> (51))))))));
- t[4] = b4_;
- t[0] = b0_;
- fproduct_copy_from_wide_(output, t);
- i0 = output[0];
- i1 = output[1];
- i0_ = i0 & 0x7ffffffffffffLLU;
- i1_ = i1 + (i0 >> 51);
- output[0] = i0_;
- output[1] = i1_;
- }
-}
-
-static __always_inline void fsquare_fsquare__(uint128_t *tmp, uint64_t *output)
-{
- uint64_t r0 = output[0];
- uint64_t r1 = output[1];
- uint64_t r2 = output[2];
- uint64_t r3 = output[3];
- uint64_t r4 = output[4];
- uint64_t d0 = r0 * 2;
- uint64_t d1 = r1 * 2;
- uint64_t d2 = r2 * 2 * 19;
- uint64_t d419 = r4 * 19;
- uint64_t d4 = d419 * 2;
- uint128_t s0 = ((((((uint128_t)(r0) * (r0))) + (((uint128_t)(d4) * (r1))))) + (((uint128_t)(d2) * (r3))));
- uint128_t s1 = ((((((uint128_t)(d0) * (r1))) + (((uint128_t)(d4) * (r2))))) + (((uint128_t)(r3 * 19) * (r3))));
- uint128_t s2 = ((((((uint128_t)(d0) * (r2))) + (((uint128_t)(r1) * (r1))))) + (((uint128_t)(d4) * (r3))));
- uint128_t s3 = ((((((uint128_t)(d0) * (r3))) + (((uint128_t)(d1) * (r2))))) + (((uint128_t)(r4) * (d419))));
- uint128_t s4 = ((((((uint128_t)(d0) * (r4))) + (((uint128_t)(d1) * (r3))))) + (((uint128_t)(r2) * (r2))));
- tmp[0] = s0;
- tmp[1] = s1;
- tmp[2] = s2;
- tmp[3] = s3;
- tmp[4] = s4;
-}
-
-static __always_inline void fsquare_fsquare_(uint128_t *tmp, uint64_t *output)
-{
- uint128_t b4;
- uint128_t b0;
- uint128_t b4_;
- uint128_t b0_;
- uint64_t i0;
- uint64_t i1;
- uint64_t i0_;
- uint64_t i1_;
- fsquare_fsquare__(tmp, output);
- fproduct_carry_wide_(tmp);
- b4 = tmp[4];
- b0 = tmp[0];
- b4_ = ((b4) & (((uint128_t)(0x7ffffffffffffLLU))));
- b0_ = ((b0) + (((uint128_t)(19) * (((uint64_t)(((b4) >> (51))))))));
- tmp[4] = b4_;
- tmp[0] = b0_;
- fproduct_copy_from_wide_(output, tmp);
- i0 = output[0];
- i1 = output[1];
- i0_ = i0 & 0x7ffffffffffffLLU;
- i1_ = i1 + (i0 >> 51);
- output[0] = i0_;
- output[1] = i1_;
-}
-
-static __always_inline void fsquare_fsquare_times_(uint64_t *input, uint128_t *tmp, uint32_t count1)
-{
- uint32_t i;
- fsquare_fsquare_(tmp, input);
- for (i = 1; i < count1; ++i)
- fsquare_fsquare_(tmp, input);
-}
-
-static __always_inline void fsquare_fsquare_times(uint64_t *output, uint64_t *input, uint32_t count1)
-{
- uint128_t t[5];
- {
- uint32_t _i;
- for (_i = 0; _i < 5; ++_i)
- t[_i] = ((uint128_t)(0));
- }
- memcpy(output, input, 5 * sizeof(*input));
- fsquare_fsquare_times_(output, t, count1);
-}
-
-static __always_inline void fsquare_fsquare_times_inplace(uint64_t *output, uint32_t count1)
-{
- uint128_t t[5];
- {
- uint32_t _i;
- for (_i = 0; _i < 5; ++_i)
- t[_i] = ((uint128_t)(0));
- }
- fsquare_fsquare_times_(output, t, count1);
-}
-
-static __always_inline void crecip_crecip(uint64_t *out, uint64_t *z)
-{
- uint64_t buf[20] = { 0 };
- uint64_t *a0 = buf;
- uint64_t *t00 = buf + 5;
- uint64_t *b0 = buf + 10;
- uint64_t *t01;
- uint64_t *b1;
- uint64_t *c0;
- uint64_t *a;
- uint64_t *t0;
- uint64_t *b;
- uint64_t *c;
- fsquare_fsquare_times(a0, z, 1);
- fsquare_fsquare_times(t00, a0, 2);
- fmul_fmul(b0, t00, z);
- fmul_fmul(a0, b0, a0);
- fsquare_fsquare_times(t00, a0, 1);
- fmul_fmul(b0, t00, b0);
- fsquare_fsquare_times(t00, b0, 5);
- t01 = buf + 5;
- b1 = buf + 10;
- c0 = buf + 15;
- fmul_fmul(b1, t01, b1);
- fsquare_fsquare_times(t01, b1, 10);
- fmul_fmul(c0, t01, b1);
- fsquare_fsquare_times(t01, c0, 20);
- fmul_fmul(t01, t01, c0);
- fsquare_fsquare_times_inplace(t01, 10);
- fmul_fmul(b1, t01, b1);
- fsquare_fsquare_times(t01, b1, 50);
- a = buf;
- t0 = buf + 5;
- b = buf + 10;
- c = buf + 15;
- fmul_fmul(c, t0, b);
- fsquare_fsquare_times(t0, c, 100);
- fmul_fmul(t0, t0, c);
- fsquare_fsquare_times_inplace(t0, 50);
- fmul_fmul(t0, t0, b);
- fsquare_fsquare_times_inplace(t0, 5);
- fmul_fmul(out, t0, a);
-}
-
-static __always_inline void fsum(uint64_t *a, uint64_t *b)
-{
- uint32_t i;
- for (i = 0; i < 5; ++i) {
- uint64_t xi = a[i];
- uint64_t yi = b[i];
- a[i] = xi + yi;
- }
-}
-
-static __always_inline void fdifference(uint64_t *a, uint64_t *b)
-{
- uint64_t tmp[5] = { 0 };
- uint64_t b0;
- uint64_t b1;
- uint64_t b2;
- uint64_t b3;
- uint64_t b4;
- memcpy(tmp, b, 5 * sizeof(*b));
- b0 = tmp[0];
- b1 = tmp[1];
- b2 = tmp[2];
- b3 = tmp[3];
- b4 = tmp[4];
- tmp[0] = b0 + 0x3fffffffffff68LLU;
- tmp[1] = b1 + 0x3ffffffffffff8LLU;
- tmp[2] = b2 + 0x3ffffffffffff8LLU;
- tmp[3] = b3 + 0x3ffffffffffff8LLU;
- tmp[4] = b4 + 0x3ffffffffffff8LLU;
- {
- uint64_t xi = a[0];
- uint64_t yi = tmp[0];
- a[0] = yi - xi;
- }
- {
- uint64_t xi = a[1];
- uint64_t yi = tmp[1];
- a[1] = yi - xi;
- }
- {
- uint64_t xi = a[2];
- uint64_t yi = tmp[2];
- a[2] = yi - xi;
- }
- {
- uint64_t xi = a[3];
- uint64_t yi = tmp[3];
- a[3] = yi - xi;
- }
- {
- uint64_t xi = a[4];
- uint64_t yi = tmp[4];
- a[4] = yi - xi;
- }
-}
-
-static __always_inline void fscalar(uint64_t *output, uint64_t *b, uint64_t s)
-{
- uint128_t tmp[5];
- uint128_t b4;
- uint128_t b0;
- uint128_t b4_;
- uint128_t b0_;
- {
- uint64_t xi = b[0];
- tmp[0] = ((uint128_t)(xi) * (s));
- }
- {
- uint64_t xi = b[1];
- tmp[1] = ((uint128_t)(xi) * (s));
- }
- {
- uint64_t xi = b[2];
- tmp[2] = ((uint128_t)(xi) * (s));
- }
- {
- uint64_t xi = b[3];
- tmp[3] = ((uint128_t)(xi) * (s));
- }
- {
- uint64_t xi = b[4];
- tmp[4] = ((uint128_t)(xi) * (s));
- }
- fproduct_carry_wide_(tmp);
- b4 = tmp[4];
- b0 = tmp[0];
- b4_ = ((b4) & (((uint128_t)(0x7ffffffffffffLLU))));
- b0_ = ((b0) + (((uint128_t)(19) * (((uint64_t)(((b4) >> (51))))))));
- tmp[4] = b4_;
- tmp[0] = b0_;
- fproduct_copy_from_wide_(output, tmp);
-}
-
-static __always_inline void fmul(uint64_t *output, uint64_t *a, uint64_t *b)
-{
- fmul_fmul(output, a, b);
-}
-
-static __always_inline void crecip(uint64_t *output, uint64_t *input)
-{
- crecip_crecip(output, input);
-}
-
-static __always_inline void point_swap_conditional_step(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
-{
- uint32_t i = ctr - 1;
- uint64_t ai = a[i];
- uint64_t bi = b[i];
- uint64_t x = swap1 & (ai ^ bi);
- uint64_t ai1 = ai ^ x;
- uint64_t bi1 = bi ^ x;
- a[i] = ai1;
- b[i] = bi1;
-}
-
-static __always_inline void point_swap_conditional_(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr)
-{
- uint32_t i;
- for (i = ctr; i > 0; --i)
- point_swap_conditional_step(a, b, swap1, i);
-}
-
-static __always_inline void point_swap_conditional(uint64_t *a, uint64_t *b, uint64_t iswap)
-{
- uint64_t swap1 = 0 - iswap;
- point_swap_conditional_(a, b, swap1, 5);
- point_swap_conditional_(a + 5, b + 5, swap1, 5);
-}
-
-static __always_inline void point_copy(uint64_t *output, uint64_t *input)
-{
- memcpy(output, input, 5 * sizeof(*input));
- memcpy(output + 5, input + 5, 5 * sizeof(*input));
-}
-
-static __always_inline void addanddouble_fmonty(uint64_t *pp, uint64_t *ppq, uint64_t *p, uint64_t *pq, uint64_t *qmqp)
-{
- uint64_t *qx = qmqp;
- uint64_t *x2 = pp;
- uint64_t *z2 = pp + 5;
- uint64_t *x3 = ppq;
- uint64_t *z3 = ppq + 5;
- uint64_t *x = p;
- uint64_t *z = p + 5;
- uint64_t *xprime = pq;
- uint64_t *zprime = pq + 5;
- uint64_t buf[40] = { 0 };
- uint64_t *origx = buf;
- uint64_t *origxprime0 = buf + 5;
- uint64_t *xxprime0;
- uint64_t *zzprime0;
- uint64_t *origxprime;
- xxprime0 = buf + 25;
- zzprime0 = buf + 30;
- memcpy(origx, x, 5 * sizeof(*x));
- fsum(x, z);
- fdifference(z, origx);
- memcpy(origxprime0, xprime, 5 * sizeof(*xprime));
- fsum(xprime, zprime);
- fdifference(zprime, origxprime0);
- fmul(xxprime0, xprime, z);
- fmul(zzprime0, x, zprime);
- origxprime = buf + 5;
- {
- uint64_t *xx0;
- uint64_t *zz0;
- uint64_t *xxprime;
- uint64_t *zzprime;
- uint64_t *zzzprime;
- xx0 = buf + 15;
- zz0 = buf + 20;
- xxprime = buf + 25;
- zzprime = buf + 30;
- zzzprime = buf + 35;
- memcpy(origxprime, xxprime, 5 * sizeof(*xxprime));
- fsum(xxprime, zzprime);
- fdifference(zzprime, origxprime);
- fsquare_fsquare_times(x3, xxprime, 1);
- fsquare_fsquare_times(zzzprime, zzprime, 1);
- fmul(z3, zzzprime, qx);
- fsquare_fsquare_times(xx0, x, 1);
- fsquare_fsquare_times(zz0, z, 1);
- {
- uint64_t *zzz;
- uint64_t *xx;
- uint64_t *zz;
- uint64_t scalar;
- zzz = buf + 10;
- xx = buf + 15;
- zz = buf + 20;
- fmul(x2, xx, zz);
- fdifference(zz, xx);
- scalar = 121665;
- fscalar(zzz, zz, scalar);
- fsum(zzz, xx);
- fmul(z2, zzz, zz);
- }
- }
-}
-
-static __always_inline void ladder_smallloop_cmult_small_loop_step(uint64_t *nq, uint64_t *nqpq, uint64_t *nq2, uint64_t *nqpq2, uint64_t *q, uint8_t byt)
-{
- uint64_t bit0 = (uint64_t)(byt >> 7);
- uint64_t bit;
- point_swap_conditional(nq, nqpq, bit0);
- addanddouble_fmonty(nq2, nqpq2, nq, nqpq, q);
- bit = (uint64_t)(byt >> 7);
- point_swap_conditional(nq2, nqpq2, bit);
-}
-
-static __always_inline void ladder_smallloop_cmult_small_loop_double_step(uint64_t *nq, uint64_t *nqpq, uint64_t *nq2, uint64_t *nqpq2, uint64_t *q, uint8_t byt)
-{
- uint8_t byt1;
- ladder_smallloop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt);
- byt1 = byt << 1;
- ladder_smallloop_cmult_small_loop_step(nq2, nqpq2, nq, nqpq, q, byt1);
-}
-
-static __always_inline void ladder_smallloop_cmult_small_loop(uint64_t *nq, uint64_t *nqpq, uint64_t *nq2, uint64_t *nqpq2, uint64_t *q, uint8_t byt, uint32_t i)
-{
- while (i--) {
- ladder_smallloop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt);
- byt <<= 2;
- }
-}
-
-static __always_inline void ladder_bigloop_cmult_big_loop(uint8_t *n1, uint64_t *nq, uint64_t *nqpq, uint64_t *nq2, uint64_t *nqpq2, uint64_t *q, uint32_t i)
-{
- while (i--) {
- uint8_t byte = n1[i];
- ladder_smallloop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byte, 4);
- }
-}
-
-static __always_inline void ladder_cmult(uint64_t *result, uint8_t *n1, uint64_t *q)
-{
- uint64_t point_buf[40] = { 0 };
- uint64_t *nq = point_buf;
- uint64_t *nqpq = point_buf + 10;
- uint64_t *nq2 = point_buf + 20;
- uint64_t *nqpq2 = point_buf + 30;
- point_copy(nqpq, q);
- nq[0] = 1;
- ladder_bigloop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, 32);
- point_copy(result, nq);
-}
-
-static __always_inline void format_fexpand(uint64_t *output, const uint8_t *input)
-{
- const uint8_t *x00 = input + 6;
- const uint8_t *x01 = input + 12;
- const uint8_t *x02 = input + 19;
- const uint8_t *x0 = input + 24;
- uint64_t i0, i1, i2, i3, i4, output0, output1, output2, output3, output4;
- i0 = le64toh(*(uint64_t *)input);
- i1 = le64toh(*(uint64_t *)x00);
- i2 = le64toh(*(uint64_t *)x01);
- i3 = le64toh(*(uint64_t *)x02);
- i4 = le64toh(*(uint64_t *)x0);
- output0 = i0 & 0x7ffffffffffffLLU;
- output1 = i1 >> 3 & 0x7ffffffffffffLLU;
- output2 = i2 >> 6 & 0x7ffffffffffffLLU;
- output3 = i3 >> 1 & 0x7ffffffffffffLLU;
- output4 = i4 >> 12 & 0x7ffffffffffffLLU;
- output[0] = output0;
- output[1] = output1;
- output[2] = output2;
- output[3] = output3;
- output[4] = output4;
-}
-
-static __always_inline void format_fcontract_first_carry_pass(uint64_t *input)
-{
- uint64_t t0 = input[0];
- uint64_t t1 = input[1];
- uint64_t t2 = input[2];
- uint64_t t3 = input[3];
- uint64_t t4 = input[4];
- uint64_t t1_ = t1 + (t0 >> 51);
- uint64_t t0_ = t0 & 0x7ffffffffffffLLU;
- uint64_t t2_ = t2 + (t1_ >> 51);
- uint64_t t1__ = t1_ & 0x7ffffffffffffLLU;
- uint64_t t3_ = t3 + (t2_ >> 51);
- uint64_t t2__ = t2_ & 0x7ffffffffffffLLU;
- uint64_t t4_ = t4 + (t3_ >> 51);
- uint64_t t3__ = t3_ & 0x7ffffffffffffLLU;
- input[0] = t0_;
- input[1] = t1__;
- input[2] = t2__;
- input[3] = t3__;
- input[4] = t4_;
-}
-
-static __always_inline void format_fcontract_first_carry_full(uint64_t *input)
-{
- format_fcontract_first_carry_pass(input);
- modulo_carry_top(input);
-}
-
-static __always_inline void format_fcontract_second_carry_pass(uint64_t *input)
-{
- uint64_t t0 = input[0];
- uint64_t t1 = input[1];
- uint64_t t2 = input[2];
- uint64_t t3 = input[3];
- uint64_t t4 = input[4];
- uint64_t t1_ = t1 + (t0 >> 51);
- uint64_t t0_ = t0 & 0x7ffffffffffffLLU;
- uint64_t t2_ = t2 + (t1_ >> 51);
- uint64_t t1__ = t1_ & 0x7ffffffffffffLLU;
- uint64_t t3_ = t3 + (t2_ >> 51);
- uint64_t t2__ = t2_ & 0x7ffffffffffffLLU;
- uint64_t t4_ = t4 + (t3_ >> 51);
- uint64_t t3__ = t3_ & 0x7ffffffffffffLLU;
- input[0] = t0_;
- input[1] = t1__;
- input[2] = t2__;
- input[3] = t3__;
- input[4] = t4_;
-}
-
-static __always_inline void format_fcontract_second_carry_full(uint64_t *input)
-{
- uint64_t i0;
- uint64_t i1;
- uint64_t i0_;
- uint64_t i1_;
- format_fcontract_second_carry_pass(input);
- modulo_carry_top(input);
- i0 = input[0];
- i1 = input[1];
- i0_ = i0 & 0x7ffffffffffffLLU;
- i1_ = i1 + (i0 >> 51);
- input[0] = i0_;
- input[1] = i1_;
-}
-
-static __always_inline void format_fcontract_trim(uint64_t *input)
-{
- uint64_t a0 = input[0];
- uint64_t a1 = input[1];
- uint64_t a2 = input[2];
- uint64_t a3 = input[3];
- uint64_t a4 = input[4];
- uint64_t mask0 = uint64_t_gte_mask(a0, 0x7ffffffffffedLLU);
- uint64_t mask1 = uint64_t_eq_mask(a1, 0x7ffffffffffffLLU);
- uint64_t mask2 = uint64_t_eq_mask(a2, 0x7ffffffffffffLLU);
- uint64_t mask3 = uint64_t_eq_mask(a3, 0x7ffffffffffffLLU);
- uint64_t mask4 = uint64_t_eq_mask(a4, 0x7ffffffffffffLLU);
- uint64_t mask = (((mask0 & mask1) & mask2) & mask3) & mask4;
- uint64_t a0_ = a0 - (0x7ffffffffffedLLU & mask);
- uint64_t a1_ = a1 - (0x7ffffffffffffLLU & mask);
- uint64_t a2_ = a2 - (0x7ffffffffffffLLU & mask);
- uint64_t a3_ = a3 - (0x7ffffffffffffLLU & mask);
- uint64_t a4_ = a4 - (0x7ffffffffffffLLU & mask);
- input[0] = a0_;
- input[1] = a1_;
- input[2] = a2_;
- input[3] = a3_;
- input[4] = a4_;
-}
-
-static __always_inline void format_fcontract_store(uint8_t *output, uint64_t *input)
-{
- uint64_t t0 = input[0];
- uint64_t t1 = input[1];
- uint64_t t2 = input[2];
- uint64_t t3 = input[3];
- uint64_t t4 = input[4];
- uint64_t o0 = t1 << 51 | t0;
- uint64_t o1 = t2 << 38 | t1 >> 13;
- uint64_t o2 = t3 << 25 | t2 >> 26;
- uint64_t o3 = t4 << 12 | t3 >> 39;
- uint8_t *b0 = output;
- uint8_t *b1 = output + 8;
- uint8_t *b2 = output + 16;
- uint8_t *b3 = output + 24;
- *(uint64_t *)b0 = htole64(o0);
- *(uint64_t *)b1 = htole64(o1);
- *(uint64_t *)b2 = htole64(o2);
- *(uint64_t *)b3 = htole64(o3);
-}
-
-static __always_inline void format_fcontract(uint8_t *output, uint64_t *input)
+static noinline void memzero_explicit(void *s, size_t count)
{
- format_fcontract_first_carry_full(input);
- format_fcontract_second_carry_full(input);
- format_fcontract_trim(input);
- format_fcontract_store(output, input);
+ memset(s, 0, count);
+ __asm__ __volatile__("": :"r"(s) :"memory");
}
-static __always_inline void format_scalar_of_point(uint8_t *scalar, uint64_t *point)
+static __always_inline void normalize_secret(u8 secret[CURVE25519_POINT_SIZE])
{
- uint64_t *x = point;
- uint64_t *z = point + 5;
- uint64_t buf[10] __aligned(32) = { 0 };
- uint64_t *zmone = buf;
- uint64_t *sc = buf + 5;
- crecip(zmone, z);
- fmul(sc, x, zmone);
- format_fcontract(scalar, sc);
+ secret[0] &= 248;
+ secret[31] &= 127;
+ secret[31] |= 64;
}
-void curve25519(uint8_t mypublic[static CURVE25519_POINT_SIZE], const uint8_t secret[static CURVE25519_POINT_SIZE], const uint8_t basepoint[static CURVE25519_POINT_SIZE])
-{
- uint64_t buf0[10] __aligned(32) = { 0 };
- uint64_t *x0 = buf0;
- uint64_t *z = buf0 + 5;
- uint64_t *q;
- format_fexpand(x0, basepoint);
- z[0] = 1;
- q = buf0;
- {
- uint8_t e[32] __aligned(32) = { 0 };
- uint8_t *scalar;
- memcpy(e, secret, 32);
- curve25519_normalize_secret(e);
- scalar = e;
- {
- uint64_t buf[15] = { 0 };
- uint64_t *nq = buf;
- uint64_t *x = nq;
- x[0] = 1;
- ladder_cmult(nq, scalar, q);
- format_scalar_of_point(mypublic, nq);
- }
- }
-}
+#ifdef __SIZEOF_INT128__
+#include "../crypto/curve25519-hacl64.h"
#else
-/* 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;
-
-/* 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)
-{
- memmove(h, f, sizeof(uint32_t) * 10);
-}
-
-static __always_inline void fe_copy_lt(fe_loose *h, const fe *f)
-{
- memmove(h, f, sizeof(uint32_t) * 10);
-}
-
-/* h = 0 */
-static __always_inline void fe_0(fe *h)
-{
- memset(h, 0, sizeof(uint32_t) * 10);
-}
-
-/* h = 1 */
-static __always_inline void fe_1(fe *h)
-{
- 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);
-}
-
-void curve25519(uint8_t out[static CURVE25519_POINT_SIZE], const uint8_t scalar[static CURVE25519_POINT_SIZE], const uint8_t point[static CURVE25519_POINT_SIZE])
-{
- fe x1, x2, z2, x3, z3, tmp0, tmp1;
- fe_loose x2l, z2l, x3l, tmp0l, tmp1l;
- unsigned swap = 0;
- int pos;
- uint8_t e[32];
-
- memcpy(e, scalar, 32);
- curve25519_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:
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Spec/MontgomeryCurve.v#L27>
- * Proof that these form a group that is isomorphic to a Weierstrass curve:
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/AffineProofs.v#L35>
- * Coq transcription and correctness proof of the loop (where scalarbits=255):
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZ.v#L118>
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L278>
- * 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):
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZ.v#L89>
- * <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L131>
- * x1 != 0 <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L217>
- * x1 = 0 <https://github.com/mit-plv/fiat-crypto/blob/2456d821825521f7e03e65882cc3521795b0320f/src/Curves/Montgomery/XZProofs.v#L147>
- */
- 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);
-}
+#include "../crypto/curve25519-fiat32.h"
#endif
void curve25519_generate_public(uint8_t pub[static CURVE25519_POINT_SIZE], const uint8_t secret[static CURVE25519_POINT_SIZE])
@@ -1575,3 +61,8 @@ void curve25519_generate_public(uint8_t pub[static CURVE25519_POINT_SIZE], const
curve25519(pub, secret, basepoint);
}
+
+void curve25519(uint8_t mypublic[static CURVE25519_POINT_SIZE], const uint8_t secret[static CURVE25519_POINT_SIZE], const uint8_t basepoint[static CURVE25519_POINT_SIZE])
+{
+ curve25519_generic(mypublic, secret, basepoint);
+}