1513 строки
60 KiB
C
1513 строки
60 KiB
C
// SPDX-License-Identifier: GPL-2.0 OR MIT
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/*
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* Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
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* Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation
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*/
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#include <crypto/curve25519.h>
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#include <crypto/internal/kpp.h>
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#include <linux/types.h>
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#include <linux/jump_label.h>
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#include <linux/kernel.h>
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#include <linux/module.h>
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#include <asm/cpufeature.h>
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#include <asm/processor.h>
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static __always_inline u64 eq_mask(u64 a, u64 b)
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{
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u64 x = a ^ b;
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u64 minus_x = ~x + (u64)1U;
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u64 x_or_minus_x = x | minus_x;
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u64 xnx = x_or_minus_x >> (u32)63U;
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return xnx - (u64)1U;
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}
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static __always_inline u64 gte_mask(u64 a, u64 b)
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{
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u64 x = a;
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u64 y = b;
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u64 x_xor_y = x ^ y;
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u64 x_sub_y = x - y;
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u64 x_sub_y_xor_y = x_sub_y ^ y;
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u64 q = x_xor_y | x_sub_y_xor_y;
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u64 x_xor_q = x ^ q;
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u64 x_xor_q_ = x_xor_q >> (u32)63U;
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return x_xor_q_ - (u64)1U;
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}
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/* Computes the addition of four-element f1 with value in f2
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* and returns the carry (if any) */
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static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2)
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{
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u64 carry_r;
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asm volatile(
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/* Clear registers to propagate the carry bit */
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" xor %%r8, %%r8;"
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" xor %%r9, %%r9;"
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" xor %%r10, %%r10;"
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" xor %%r11, %%r11;"
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" xor %1, %1;"
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/* Begin addition chain */
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" addq 0(%3), %0;"
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" movq %0, 0(%2);"
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" adcxq 8(%3), %%r8;"
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" movq %%r8, 8(%2);"
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" adcxq 16(%3), %%r9;"
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" movq %%r9, 16(%2);"
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" adcxq 24(%3), %%r10;"
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" movq %%r10, 24(%2);"
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/* Return the carry bit in a register */
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" adcx %%r11, %1;"
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: "+&r" (f2), "=&r" (carry_r)
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: "r" (out), "r" (f1)
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: "%r8", "%r9", "%r10", "%r11", "memory", "cc"
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);
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return carry_r;
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}
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/* Computes the field addition of two field elements */
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static inline void fadd(u64 *out, const u64 *f1, const u64 *f2)
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{
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asm volatile(
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/* Compute the raw addition of f1 + f2 */
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" movq 0(%0), %%r8;"
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" addq 0(%2), %%r8;"
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" movq 8(%0), %%r9;"
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" adcxq 8(%2), %%r9;"
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" movq 16(%0), %%r10;"
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" adcxq 16(%2), %%r10;"
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" movq 24(%0), %%r11;"
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" adcxq 24(%2), %%r11;"
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/* Wrap the result back into the field */
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/* Step 1: Compute carry*38 */
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" mov $0, %%rax;"
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" mov $38, %0;"
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" cmovc %0, %%rax;"
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/* Step 2: Add carry*38 to the original sum */
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" xor %%rcx, %%rcx;"
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" add %%rax, %%r8;"
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" adcx %%rcx, %%r9;"
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" movq %%r9, 8(%1);"
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" adcx %%rcx, %%r10;"
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" movq %%r10, 16(%1);"
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" adcx %%rcx, %%r11;"
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" movq %%r11, 24(%1);"
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/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
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" mov $0, %%rax;"
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" cmovc %0, %%rax;"
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" add %%rax, %%r8;"
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" movq %%r8, 0(%1);"
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: "+&r" (f2)
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: "r" (out), "r" (f1)
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: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"
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);
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}
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/* Computes the field substraction of two field elements */
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static inline void fsub(u64 *out, const u64 *f1, const u64 *f2)
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{
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asm volatile(
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/* Compute the raw substraction of f1-f2 */
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" movq 0(%1), %%r8;"
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" subq 0(%2), %%r8;"
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" movq 8(%1), %%r9;"
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" sbbq 8(%2), %%r9;"
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" movq 16(%1), %%r10;"
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" sbbq 16(%2), %%r10;"
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" movq 24(%1), %%r11;"
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" sbbq 24(%2), %%r11;"
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/* Wrap the result back into the field */
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/* Step 1: Compute carry*38 */
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" mov $0, %%rax;"
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" mov $38, %%rcx;"
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" cmovc %%rcx, %%rax;"
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/* Step 2: Substract carry*38 from the original difference */
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" sub %%rax, %%r8;"
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" sbb $0, %%r9;"
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" sbb $0, %%r10;"
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" sbb $0, %%r11;"
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/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
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" mov $0, %%rax;"
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" cmovc %%rcx, %%rax;"
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" sub %%rax, %%r8;"
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/* Store the result */
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" movq %%r8, 0(%0);"
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" movq %%r9, 8(%0);"
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" movq %%r10, 16(%0);"
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" movq %%r11, 24(%0);"
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:
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: "r" (out), "r" (f1), "r" (f2)
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: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"
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);
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}
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/* Computes a field multiplication: out <- f1 * f2
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* Uses the 8-element buffer tmp for intermediate results */
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static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
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{
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asm volatile(
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/* Compute the raw multiplication: tmp <- src1 * src2 */
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/* Compute src1[0] * src2 */
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" movq 0(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " movq %%r8, 0(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;"
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/* Compute src1[1] * src2 */
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" movq 8(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[2] * src2 */
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" movq 16(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[3] * src2 */
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" movq 24(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);"
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/* Line up pointers */
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" mov %0, %1;"
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" mov %2, %0;"
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/* Wrap the result back into the field */
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/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
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" mov $38, %%rdx;"
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" mulxq 32(%1), %%r8, %%r13;"
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" xor %3, %3;"
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" adoxq 0(%1), %%r8;"
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" mulxq 40(%1), %%r9, %%rbx;"
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" adcx %%r13, %%r9;"
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" adoxq 8(%1), %%r9;"
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" mulxq 48(%1), %%r10, %%r13;"
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" adcx %%rbx, %%r10;"
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" adoxq 16(%1), %%r10;"
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" mulxq 56(%1), %%r11, %%rax;"
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" adcx %%r13, %%r11;"
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" adoxq 24(%1), %%r11;"
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" adcx %3, %%rax;"
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" adox %3, %%rax;"
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" imul %%rdx, %%rax;"
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/* Step 2: Fold the carry back into dst */
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" add %%rax, %%r8;"
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" adcx %3, %%r9;"
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" movq %%r9, 8(%0);"
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" adcx %3, %%r10;"
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" movq %%r10, 16(%0);"
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" adcx %3, %%r11;"
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" movq %%r11, 24(%0);"
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/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
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" mov $0, %%rax;"
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" cmovc %%rdx, %%rax;"
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" add %%rax, %%r8;"
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" movq %%r8, 0(%0);"
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: "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2)
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:
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: "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc"
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);
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}
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/* Computes two field multiplications:
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* out[0] <- f1[0] * f2[0]
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* out[1] <- f1[1] * f2[1]
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* Uses the 16-element buffer tmp for intermediate results. */
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static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
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{
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asm volatile(
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/* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */
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/* Compute src1[0] * src2 */
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" movq 0(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " movq %%r8, 0(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;"
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/* Compute src1[1] * src2 */
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" movq 8(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[2] * src2 */
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" movq 16(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[3] * src2 */
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" movq 24(%1), %%rdx;"
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" mulxq 0(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);"
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" mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);"
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" mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;"
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" mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);"
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/* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */
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/* Compute src1[0] * src2 */
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" movq 32(%1), %%rdx;"
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" mulxq 32(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " movq %%r8, 64(%0);"
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" mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 72(%0);"
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" mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
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" mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;"
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/* Compute src1[1] * src2 */
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" movq 40(%1), %%rdx;"
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" mulxq 32(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 72(%0), %%r8;" " movq %%r8, 72(%0);"
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" mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 80(%0);"
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" mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[2] * src2 */
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" movq 48(%1), %%rdx;"
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" mulxq 32(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 80(%0), %%r8;" " movq %%r8, 80(%0);"
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" mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 88(%0);"
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" mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
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" mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
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/* Compute src1[3] * src2 */
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" movq 56(%1), %%rdx;"
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" mulxq 32(%3), %%r8, %%r9;" " xor %%r10, %%r10;" " adcxq 88(%0), %%r8;" " movq %%r8, 88(%0);"
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" mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 96(%0);"
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" mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 104(%0);" " mov $0, %%r8;"
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" mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 112(%0);" " mov $0, %%rax;"
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" adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 120(%0);"
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/* Line up pointers */
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" mov %0, %1;"
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" mov %2, %0;"
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/* Wrap the results back into the field */
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/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
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" mov $38, %%rdx;"
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" mulxq 32(%1), %%r8, %%r13;"
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" xor %3, %3;"
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" adoxq 0(%1), %%r8;"
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" mulxq 40(%1), %%r9, %%rbx;"
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" adcx %%r13, %%r9;"
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" adoxq 8(%1), %%r9;"
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" mulxq 48(%1), %%r10, %%r13;"
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" adcx %%rbx, %%r10;"
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" adoxq 16(%1), %%r10;"
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" mulxq 56(%1), %%r11, %%rax;"
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" adcx %%r13, %%r11;"
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" adoxq 24(%1), %%r11;"
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" adcx %3, %%rax;"
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" adox %3, %%rax;"
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" imul %%rdx, %%rax;"
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/* Step 2: Fold the carry back into dst */
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" add %%rax, %%r8;"
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" adcx %3, %%r9;"
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" movq %%r9, 8(%0);"
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" adcx %3, %%r10;"
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" movq %%r10, 16(%0);"
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" adcx %3, %%r11;"
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" movq %%r11, 24(%0);"
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/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
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" mov $0, %%rax;"
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" cmovc %%rdx, %%rax;"
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" add %%rax, %%r8;"
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" movq %%r8, 0(%0);"
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/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
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" mov $38, %%rdx;"
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" mulxq 96(%1), %%r8, %%r13;"
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" xor %3, %3;"
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" adoxq 64(%1), %%r8;"
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" mulxq 104(%1), %%r9, %%rbx;"
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" adcx %%r13, %%r9;"
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" adoxq 72(%1), %%r9;"
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" mulxq 112(%1), %%r10, %%r13;"
|
|
" adcx %%rbx, %%r10;"
|
|
" adoxq 80(%1), %%r10;"
|
|
" mulxq 120(%1), %%r11, %%rax;"
|
|
" adcx %%r13, %%r11;"
|
|
" adoxq 88(%1), %%r11;"
|
|
" adcx %3, %%rax;"
|
|
" adox %3, %%rax;"
|
|
" imul %%rdx, %%rax;"
|
|
|
|
/* Step 2: Fold the carry back into dst */
|
|
" add %%rax, %%r8;"
|
|
" adcx %3, %%r9;"
|
|
" movq %%r9, 40(%0);"
|
|
" adcx %3, %%r10;"
|
|
" movq %%r10, 48(%0);"
|
|
" adcx %3, %%r11;"
|
|
" movq %%r11, 56(%0);"
|
|
|
|
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
|
|
" mov $0, %%rax;"
|
|
" cmovc %%rdx, %%rax;"
|
|
" add %%rax, %%r8;"
|
|
" movq %%r8, 32(%0);"
|
|
: "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2)
|
|
:
|
|
: "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc"
|
|
);
|
|
}
|
|
|
|
/* Computes the field multiplication of four-element f1 with value in f2 */
|
|
static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2)
|
|
{
|
|
register u64 f2_r asm("rdx") = f2;
|
|
|
|
asm volatile(
|
|
/* Compute the raw multiplication of f1*f2 */
|
|
" mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */
|
|
" mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */
|
|
" add %%rcx, %%r9;"
|
|
" mov $0, %%rcx;"
|
|
" mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */
|
|
" adcx %%rbx, %%r10;"
|
|
" mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */
|
|
" adcx %%r13, %%r11;"
|
|
" adcx %%rcx, %%rax;"
|
|
|
|
/* Wrap the result back into the field */
|
|
|
|
/* Step 1: Compute carry*38 */
|
|
" mov $38, %%rdx;"
|
|
" imul %%rdx, %%rax;"
|
|
|
|
/* Step 2: Fold the carry back into dst */
|
|
" add %%rax, %%r8;"
|
|
" adcx %%rcx, %%r9;"
|
|
" movq %%r9, 8(%1);"
|
|
" adcx %%rcx, %%r10;"
|
|
" movq %%r10, 16(%1);"
|
|
" adcx %%rcx, %%r11;"
|
|
" movq %%r11, 24(%1);"
|
|
|
|
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
|
|
" mov $0, %%rax;"
|
|
" cmovc %%rdx, %%rax;"
|
|
" add %%rax, %%r8;"
|
|
" movq %%r8, 0(%1);"
|
|
: "+&r" (f2_r)
|
|
: "r" (out), "r" (f1)
|
|
: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "memory", "cc"
|
|
);
|
|
}
|
|
|
|
/* Computes p1 <- bit ? p2 : p1 in constant time */
|
|
static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2)
|
|
{
|
|
asm volatile(
|
|
/* Invert the polarity of bit to match cmov expectations */
|
|
" add $18446744073709551615, %0;"
|
|
|
|
/* cswap p1[0], p2[0] */
|
|
" movq 0(%1), %%r8;"
|
|
" movq 0(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 0(%1);"
|
|
" movq %%r9, 0(%2);"
|
|
|
|
/* cswap p1[1], p2[1] */
|
|
" movq 8(%1), %%r8;"
|
|
" movq 8(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 8(%1);"
|
|
" movq %%r9, 8(%2);"
|
|
|
|
/* cswap p1[2], p2[2] */
|
|
" movq 16(%1), %%r8;"
|
|
" movq 16(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 16(%1);"
|
|
" movq %%r9, 16(%2);"
|
|
|
|
/* cswap p1[3], p2[3] */
|
|
" movq 24(%1), %%r8;"
|
|
" movq 24(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 24(%1);"
|
|
" movq %%r9, 24(%2);"
|
|
|
|
/* cswap p1[4], p2[4] */
|
|
" movq 32(%1), %%r8;"
|
|
" movq 32(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 32(%1);"
|
|
" movq %%r9, 32(%2);"
|
|
|
|
/* cswap p1[5], p2[5] */
|
|
" movq 40(%1), %%r8;"
|
|
" movq 40(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 40(%1);"
|
|
" movq %%r9, 40(%2);"
|
|
|
|
/* cswap p1[6], p2[6] */
|
|
" movq 48(%1), %%r8;"
|
|
" movq 48(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 48(%1);"
|
|
" movq %%r9, 48(%2);"
|
|
|
|
/* cswap p1[7], p2[7] */
|
|
" movq 56(%1), %%r8;"
|
|
" movq 56(%2), %%r9;"
|
|
" mov %%r8, %%r10;"
|
|
" cmovc %%r9, %%r8;"
|
|
" cmovc %%r10, %%r9;"
|
|
" movq %%r8, 56(%1);"
|
|
" movq %%r9, 56(%2);"
|
|
: "+&r" (bit)
|
|
: "r" (p1), "r" (p2)
|
|
: "%r8", "%r9", "%r10", "memory", "cc"
|
|
);
|
|
}
|
|
|
|
/* Computes the square of a field element: out <- f * f
|
|
* Uses the 8-element buffer tmp for intermediate results */
|
|
static inline void fsqr(u64 *out, const u64 *f, u64 *tmp)
|
|
{
|
|
asm volatile(
|
|
/* Compute the raw multiplication: tmp <- f * f */
|
|
|
|
/* Step 1: Compute all partial products */
|
|
" movq 0(%1), %%rdx;" /* f[0] */
|
|
" mulxq 8(%1), %%r8, %%r14;" " xor %%r15, %%r15;" /* f[1]*f[0] */
|
|
" mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
|
|
" mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
|
|
" movq 24(%1), %%rdx;" /* f[3] */
|
|
" mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
|
|
" mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
|
|
" movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
|
|
" mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
|
|
|
|
/* Step 2: Compute two parallel carry chains */
|
|
" xor %%r15, %%r15;"
|
|
" adox %%rax, %%r10;"
|
|
" adcx %%r8, %%r8;"
|
|
" adox %%rcx, %%r11;"
|
|
" adcx %%r9, %%r9;"
|
|
" adox %%r15, %%rbx;"
|
|
" adcx %%r10, %%r10;"
|
|
" adox %%r15, %%r13;"
|
|
" adcx %%r11, %%r11;"
|
|
" adox %%r15, %%r14;"
|
|
" adcx %%rbx, %%rbx;"
|
|
" adcx %%r13, %%r13;"
|
|
" adcx %%r14, %%r14;"
|
|
|
|
/* Step 3: Compute intermediate squares */
|
|
" movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
|
|
" movq %%rax, 0(%0);"
|
|
" add %%rcx, %%r8;" " movq %%r8, 8(%0);"
|
|
" movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
|
|
" adcx %%rax, %%r9;" " movq %%r9, 16(%0);"
|
|
" adcx %%rcx, %%r10;" " movq %%r10, 24(%0);"
|
|
" movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
|
|
" adcx %%rax, %%r11;" " movq %%r11, 32(%0);"
|
|
" adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);"
|
|
" movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
|
|
" adcx %%rax, %%r13;" " movq %%r13, 48(%0);"
|
|
" adcx %%rcx, %%r14;" " movq %%r14, 56(%0);"
|
|
|
|
/* Line up pointers */
|
|
" mov %0, %1;"
|
|
" mov %2, %0;"
|
|
|
|
/* Wrap the result back into the field */
|
|
|
|
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
|
|
" mov $38, %%rdx;"
|
|
" mulxq 32(%1), %%r8, %%r13;"
|
|
" xor %%rcx, %%rcx;"
|
|
" adoxq 0(%1), %%r8;"
|
|
" mulxq 40(%1), %%r9, %%rbx;"
|
|
" adcx %%r13, %%r9;"
|
|
" adoxq 8(%1), %%r9;"
|
|
" mulxq 48(%1), %%r10, %%r13;"
|
|
" adcx %%rbx, %%r10;"
|
|
" adoxq 16(%1), %%r10;"
|
|
" mulxq 56(%1), %%r11, %%rax;"
|
|
" adcx %%r13, %%r11;"
|
|
" adoxq 24(%1), %%r11;"
|
|
" adcx %%rcx, %%rax;"
|
|
" adox %%rcx, %%rax;"
|
|
" imul %%rdx, %%rax;"
|
|
|
|
/* Step 2: Fold the carry back into dst */
|
|
" add %%rax, %%r8;"
|
|
" adcx %%rcx, %%r9;"
|
|
" movq %%r9, 8(%0);"
|
|
" adcx %%rcx, %%r10;"
|
|
" movq %%r10, 16(%0);"
|
|
" adcx %%rcx, %%r11;"
|
|
" movq %%r11, 24(%0);"
|
|
|
|
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
|
|
" mov $0, %%rax;"
|
|
" cmovc %%rdx, %%rax;"
|
|
" add %%rax, %%r8;"
|
|
" movq %%r8, 0(%0);"
|
|
: "+&r" (tmp), "+&r" (f), "+&r" (out)
|
|
:
|
|
: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc"
|
|
);
|
|
}
|
|
|
|
/* Computes two field squarings:
|
|
* out[0] <- f[0] * f[0]
|
|
* out[1] <- f[1] * f[1]
|
|
* Uses the 16-element buffer tmp for intermediate results */
|
|
static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp)
|
|
{
|
|
asm volatile(
|
|
/* Step 1: Compute all partial products */
|
|
" movq 0(%1), %%rdx;" /* f[0] */
|
|
" mulxq 8(%1), %%r8, %%r14;" " xor %%r15, %%r15;" /* f[1]*f[0] */
|
|
" mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
|
|
" mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
|
|
" movq 24(%1), %%rdx;" /* f[3] */
|
|
" mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
|
|
" mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
|
|
" movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
|
|
" mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
|
|
|
|
/* Step 2: Compute two parallel carry chains */
|
|
" xor %%r15, %%r15;"
|
|
" adox %%rax, %%r10;"
|
|
" adcx %%r8, %%r8;"
|
|
" adox %%rcx, %%r11;"
|
|
" adcx %%r9, %%r9;"
|
|
" adox %%r15, %%rbx;"
|
|
" adcx %%r10, %%r10;"
|
|
" adox %%r15, %%r13;"
|
|
" adcx %%r11, %%r11;"
|
|
" adox %%r15, %%r14;"
|
|
" adcx %%rbx, %%rbx;"
|
|
" adcx %%r13, %%r13;"
|
|
" adcx %%r14, %%r14;"
|
|
|
|
/* Step 3: Compute intermediate squares */
|
|
" movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
|
|
" movq %%rax, 0(%0);"
|
|
" add %%rcx, %%r8;" " movq %%r8, 8(%0);"
|
|
" movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
|
|
" adcx %%rax, %%r9;" " movq %%r9, 16(%0);"
|
|
" adcx %%rcx, %%r10;" " movq %%r10, 24(%0);"
|
|
" movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
|
|
" adcx %%rax, %%r11;" " movq %%r11, 32(%0);"
|
|
" adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);"
|
|
" movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
|
|
" adcx %%rax, %%r13;" " movq %%r13, 48(%0);"
|
|
" adcx %%rcx, %%r14;" " movq %%r14, 56(%0);"
|
|
|
|
/* Step 1: Compute all partial products */
|
|
" movq 32(%1), %%rdx;" /* f[0] */
|
|
" mulxq 40(%1), %%r8, %%r14;" " xor %%r15, %%r15;" /* f[1]*f[0] */
|
|
" mulxq 48(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
|
|
" mulxq 56(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
|
|
" movq 56(%1), %%rdx;" /* f[3] */
|
|
" mulxq 40(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
|
|
" mulxq 48(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
|
|
" movq 40(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
|
|
" mulxq 48(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
|
|
|
|
/* Step 2: Compute two parallel carry chains */
|
|
" xor %%r15, %%r15;"
|
|
" adox %%rax, %%r10;"
|
|
" adcx %%r8, %%r8;"
|
|
" adox %%rcx, %%r11;"
|
|
" adcx %%r9, %%r9;"
|
|
" adox %%r15, %%rbx;"
|
|
" adcx %%r10, %%r10;"
|
|
" adox %%r15, %%r13;"
|
|
" adcx %%r11, %%r11;"
|
|
" adox %%r15, %%r14;"
|
|
" adcx %%rbx, %%rbx;"
|
|
" adcx %%r13, %%r13;"
|
|
" adcx %%r14, %%r14;"
|
|
|
|
/* Step 3: Compute intermediate squares */
|
|
" movq 32(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
|
|
" movq %%rax, 64(%0);"
|
|
" add %%rcx, %%r8;" " movq %%r8, 72(%0);"
|
|
" movq 40(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
|
|
" adcx %%rax, %%r9;" " movq %%r9, 80(%0);"
|
|
" adcx %%rcx, %%r10;" " movq %%r10, 88(%0);"
|
|
" movq 48(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
|
|
" adcx %%rax, %%r11;" " movq %%r11, 96(%0);"
|
|
" adcx %%rcx, %%rbx;" " movq %%rbx, 104(%0);"
|
|
" movq 56(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
|
|
" adcx %%rax, %%r13;" " movq %%r13, 112(%0);"
|
|
" adcx %%rcx, %%r14;" " movq %%r14, 120(%0);"
|
|
|
|
/* Line up pointers */
|
|
" mov %0, %1;"
|
|
" mov %2, %0;"
|
|
|
|
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
|
|
" mov $38, %%rdx;"
|
|
" mulxq 32(%1), %%r8, %%r13;"
|
|
" xor %%rcx, %%rcx;"
|
|
" adoxq 0(%1), %%r8;"
|
|
" mulxq 40(%1), %%r9, %%rbx;"
|
|
" adcx %%r13, %%r9;"
|
|
" adoxq 8(%1), %%r9;"
|
|
" mulxq 48(%1), %%r10, %%r13;"
|
|
" adcx %%rbx, %%r10;"
|
|
" adoxq 16(%1), %%r10;"
|
|
" mulxq 56(%1), %%r11, %%rax;"
|
|
" adcx %%r13, %%r11;"
|
|
" adoxq 24(%1), %%r11;"
|
|
" adcx %%rcx, %%rax;"
|
|
" adox %%rcx, %%rax;"
|
|
" imul %%rdx, %%rax;"
|
|
|
|
/* Step 2: Fold the carry back into dst */
|
|
" add %%rax, %%r8;"
|
|
" adcx %%rcx, %%r9;"
|
|
" movq %%r9, 8(%0);"
|
|
" adcx %%rcx, %%r10;"
|
|
" movq %%r10, 16(%0);"
|
|
" adcx %%rcx, %%r11;"
|
|
" movq %%r11, 24(%0);"
|
|
|
|
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
|
|
" mov $0, %%rax;"
|
|
" cmovc %%rdx, %%rax;"
|
|
" add %%rax, %%r8;"
|
|
" movq %%r8, 0(%0);"
|
|
|
|
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
|
|
" mov $38, %%rdx;"
|
|
" mulxq 96(%1), %%r8, %%r13;"
|
|
" xor %%rcx, %%rcx;"
|
|
" adoxq 64(%1), %%r8;"
|
|
" mulxq 104(%1), %%r9, %%rbx;"
|
|
" adcx %%r13, %%r9;"
|
|
" adoxq 72(%1), %%r9;"
|
|
" mulxq 112(%1), %%r10, %%r13;"
|
|
" adcx %%rbx, %%r10;"
|
|
" adoxq 80(%1), %%r10;"
|
|
" mulxq 120(%1), %%r11, %%rax;"
|
|
" adcx %%r13, %%r11;"
|
|
" adoxq 88(%1), %%r11;"
|
|
" adcx %%rcx, %%rax;"
|
|
" adox %%rcx, %%rax;"
|
|
" imul %%rdx, %%rax;"
|
|
|
|
/* Step 2: Fold the carry back into dst */
|
|
" add %%rax, %%r8;"
|
|
" adcx %%rcx, %%r9;"
|
|
" movq %%r9, 40(%0);"
|
|
" adcx %%rcx, %%r10;"
|
|
" movq %%r10, 48(%0);"
|
|
" adcx %%rcx, %%r11;"
|
|
" movq %%r11, 56(%0);"
|
|
|
|
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
|
|
" mov $0, %%rax;"
|
|
" cmovc %%rdx, %%rax;"
|
|
" add %%rax, %%r8;"
|
|
" movq %%r8, 32(%0);"
|
|
: "+&r" (tmp), "+&r" (f), "+&r" (out)
|
|
:
|
|
: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc"
|
|
);
|
|
}
|
|
|
|
static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2)
|
|
{
|
|
u64 *nq = p01_tmp1;
|
|
u64 *nq_p1 = p01_tmp1 + (u32)8U;
|
|
u64 *tmp1 = p01_tmp1 + (u32)16U;
|
|
u64 *x1 = q;
|
|
u64 *x2 = nq;
|
|
u64 *z2 = nq + (u32)4U;
|
|
u64 *z3 = nq_p1 + (u32)4U;
|
|
u64 *a = tmp1;
|
|
u64 *b = tmp1 + (u32)4U;
|
|
u64 *ab = tmp1;
|
|
u64 *dc = tmp1 + (u32)8U;
|
|
u64 *x3;
|
|
u64 *z31;
|
|
u64 *d0;
|
|
u64 *c0;
|
|
u64 *a1;
|
|
u64 *b1;
|
|
u64 *d;
|
|
u64 *c;
|
|
u64 *ab1;
|
|
u64 *dc1;
|
|
fadd(a, x2, z2);
|
|
fsub(b, x2, z2);
|
|
x3 = nq_p1;
|
|
z31 = nq_p1 + (u32)4U;
|
|
d0 = dc;
|
|
c0 = dc + (u32)4U;
|
|
fadd(c0, x3, z31);
|
|
fsub(d0, x3, z31);
|
|
fmul2(dc, dc, ab, tmp2);
|
|
fadd(x3, d0, c0);
|
|
fsub(z31, d0, c0);
|
|
a1 = tmp1;
|
|
b1 = tmp1 + (u32)4U;
|
|
d = tmp1 + (u32)8U;
|
|
c = tmp1 + (u32)12U;
|
|
ab1 = tmp1;
|
|
dc1 = tmp1 + (u32)8U;
|
|
fsqr2(dc1, ab1, tmp2);
|
|
fsqr2(nq_p1, nq_p1, tmp2);
|
|
a1[0U] = c[0U];
|
|
a1[1U] = c[1U];
|
|
a1[2U] = c[2U];
|
|
a1[3U] = c[3U];
|
|
fsub(c, d, c);
|
|
fmul_scalar(b1, c, (u64)121665U);
|
|
fadd(b1, b1, d);
|
|
fmul2(nq, dc1, ab1, tmp2);
|
|
fmul(z3, z3, x1, tmp2);
|
|
}
|
|
|
|
static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2)
|
|
{
|
|
u64 *x2 = nq;
|
|
u64 *z2 = nq + (u32)4U;
|
|
u64 *a = tmp1;
|
|
u64 *b = tmp1 + (u32)4U;
|
|
u64 *d = tmp1 + (u32)8U;
|
|
u64 *c = tmp1 + (u32)12U;
|
|
u64 *ab = tmp1;
|
|
u64 *dc = tmp1 + (u32)8U;
|
|
fadd(a, x2, z2);
|
|
fsub(b, x2, z2);
|
|
fsqr2(dc, ab, tmp2);
|
|
a[0U] = c[0U];
|
|
a[1U] = c[1U];
|
|
a[2U] = c[2U];
|
|
a[3U] = c[3U];
|
|
fsub(c, d, c);
|
|
fmul_scalar(b, c, (u64)121665U);
|
|
fadd(b, b, d);
|
|
fmul2(nq, dc, ab, tmp2);
|
|
}
|
|
|
|
static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1)
|
|
{
|
|
u64 tmp2[16U] = { 0U };
|
|
u64 p01_tmp1_swap[33U] = { 0U };
|
|
u64 *p0 = p01_tmp1_swap;
|
|
u64 *p01 = p01_tmp1_swap;
|
|
u64 *p03 = p01;
|
|
u64 *p11 = p01 + (u32)8U;
|
|
u64 *x0;
|
|
u64 *z0;
|
|
u64 *p01_tmp1;
|
|
u64 *p01_tmp11;
|
|
u64 *nq10;
|
|
u64 *nq_p11;
|
|
u64 *swap1;
|
|
u64 sw0;
|
|
u64 *nq1;
|
|
u64 *tmp1;
|
|
memcpy(p11, init1, (u32)8U * sizeof(init1[0U]));
|
|
x0 = p03;
|
|
z0 = p03 + (u32)4U;
|
|
x0[0U] = (u64)1U;
|
|
x0[1U] = (u64)0U;
|
|
x0[2U] = (u64)0U;
|
|
x0[3U] = (u64)0U;
|
|
z0[0U] = (u64)0U;
|
|
z0[1U] = (u64)0U;
|
|
z0[2U] = (u64)0U;
|
|
z0[3U] = (u64)0U;
|
|
p01_tmp1 = p01_tmp1_swap;
|
|
p01_tmp11 = p01_tmp1_swap;
|
|
nq10 = p01_tmp1_swap;
|
|
nq_p11 = p01_tmp1_swap + (u32)8U;
|
|
swap1 = p01_tmp1_swap + (u32)32U;
|
|
cswap2((u64)1U, nq10, nq_p11);
|
|
point_add_and_double(init1, p01_tmp11, tmp2);
|
|
swap1[0U] = (u64)1U;
|
|
{
|
|
u32 i;
|
|
for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) {
|
|
u64 *p01_tmp12 = p01_tmp1_swap;
|
|
u64 *swap2 = p01_tmp1_swap + (u32)32U;
|
|
u64 *nq2 = p01_tmp12;
|
|
u64 *nq_p12 = p01_tmp12 + (u32)8U;
|
|
u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U);
|
|
u64 sw = swap2[0U] ^ bit;
|
|
cswap2(sw, nq2, nq_p12);
|
|
point_add_and_double(init1, p01_tmp12, tmp2);
|
|
swap2[0U] = bit;
|
|
}
|
|
}
|
|
sw0 = swap1[0U];
|
|
cswap2(sw0, nq10, nq_p11);
|
|
nq1 = p01_tmp1;
|
|
tmp1 = p01_tmp1 + (u32)16U;
|
|
point_double(nq1, tmp1, tmp2);
|
|
point_double(nq1, tmp1, tmp2);
|
|
point_double(nq1, tmp1, tmp2);
|
|
memcpy(out, p0, (u32)8U * sizeof(p0[0U]));
|
|
|
|
memzero_explicit(tmp2, sizeof(tmp2));
|
|
memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap));
|
|
}
|
|
|
|
static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1)
|
|
{
|
|
u32 i;
|
|
fsqr(o, inp, tmp);
|
|
for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U)
|
|
fsqr(o, o, tmp);
|
|
}
|
|
|
|
static void finv(u64 *o, const u64 *i, u64 *tmp)
|
|
{
|
|
u64 t1[16U] = { 0U };
|
|
u64 *a0 = t1;
|
|
u64 *b = t1 + (u32)4U;
|
|
u64 *c = t1 + (u32)8U;
|
|
u64 *t00 = t1 + (u32)12U;
|
|
u64 *tmp1 = tmp;
|
|
u64 *a;
|
|
u64 *t0;
|
|
fsquare_times(a0, i, tmp1, (u32)1U);
|
|
fsquare_times(t00, a0, tmp1, (u32)2U);
|
|
fmul(b, t00, i, tmp);
|
|
fmul(a0, b, a0, tmp);
|
|
fsquare_times(t00, a0, tmp1, (u32)1U);
|
|
fmul(b, t00, b, tmp);
|
|
fsquare_times(t00, b, tmp1, (u32)5U);
|
|
fmul(b, t00, b, tmp);
|
|
fsquare_times(t00, b, tmp1, (u32)10U);
|
|
fmul(c, t00, b, tmp);
|
|
fsquare_times(t00, c, tmp1, (u32)20U);
|
|
fmul(t00, t00, c, tmp);
|
|
fsquare_times(t00, t00, tmp1, (u32)10U);
|
|
fmul(b, t00, b, tmp);
|
|
fsquare_times(t00, b, tmp1, (u32)50U);
|
|
fmul(c, t00, b, tmp);
|
|
fsquare_times(t00, c, tmp1, (u32)100U);
|
|
fmul(t00, t00, c, tmp);
|
|
fsquare_times(t00, t00, tmp1, (u32)50U);
|
|
fmul(t00, t00, b, tmp);
|
|
fsquare_times(t00, t00, tmp1, (u32)5U);
|
|
a = t1;
|
|
t0 = t1 + (u32)12U;
|
|
fmul(o, t0, a, tmp);
|
|
}
|
|
|
|
static void store_felem(u64 *b, u64 *f)
|
|
{
|
|
u64 f30 = f[3U];
|
|
u64 top_bit0 = f30 >> (u32)63U;
|
|
u64 f31;
|
|
u64 top_bit;
|
|
u64 f0;
|
|
u64 f1;
|
|
u64 f2;
|
|
u64 f3;
|
|
u64 m0;
|
|
u64 m1;
|
|
u64 m2;
|
|
u64 m3;
|
|
u64 mask;
|
|
u64 f0_;
|
|
u64 f1_;
|
|
u64 f2_;
|
|
u64 f3_;
|
|
u64 o0;
|
|
u64 o1;
|
|
u64 o2;
|
|
u64 o3;
|
|
f[3U] = f30 & (u64)0x7fffffffffffffffU;
|
|
add_scalar(f, f, (u64)19U * top_bit0);
|
|
f31 = f[3U];
|
|
top_bit = f31 >> (u32)63U;
|
|
f[3U] = f31 & (u64)0x7fffffffffffffffU;
|
|
add_scalar(f, f, (u64)19U * top_bit);
|
|
f0 = f[0U];
|
|
f1 = f[1U];
|
|
f2 = f[2U];
|
|
f3 = f[3U];
|
|
m0 = gte_mask(f0, (u64)0xffffffffffffffedU);
|
|
m1 = eq_mask(f1, (u64)0xffffffffffffffffU);
|
|
m2 = eq_mask(f2, (u64)0xffffffffffffffffU);
|
|
m3 = eq_mask(f3, (u64)0x7fffffffffffffffU);
|
|
mask = ((m0 & m1) & m2) & m3;
|
|
f0_ = f0 - (mask & (u64)0xffffffffffffffedU);
|
|
f1_ = f1 - (mask & (u64)0xffffffffffffffffU);
|
|
f2_ = f2 - (mask & (u64)0xffffffffffffffffU);
|
|
f3_ = f3 - (mask & (u64)0x7fffffffffffffffU);
|
|
o0 = f0_;
|
|
o1 = f1_;
|
|
o2 = f2_;
|
|
o3 = f3_;
|
|
b[0U] = o0;
|
|
b[1U] = o1;
|
|
b[2U] = o2;
|
|
b[3U] = o3;
|
|
}
|
|
|
|
static void encode_point(u8 *o, const u64 *i)
|
|
{
|
|
const u64 *x = i;
|
|
const u64 *z = i + (u32)4U;
|
|
u64 tmp[4U] = { 0U };
|
|
u64 tmp_w[16U] = { 0U };
|
|
finv(tmp, z, tmp_w);
|
|
fmul(tmp, tmp, x, tmp_w);
|
|
store_felem((u64 *)o, tmp);
|
|
}
|
|
|
|
static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub)
|
|
{
|
|
u64 init1[8U] = { 0U };
|
|
u64 tmp[4U] = { 0U };
|
|
u64 tmp3;
|
|
u64 *x;
|
|
u64 *z;
|
|
{
|
|
u32 i;
|
|
for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) {
|
|
u64 *os = tmp;
|
|
const u8 *bj = pub + i * (u32)8U;
|
|
u64 u = *(u64 *)bj;
|
|
u64 r = u;
|
|
u64 x0 = r;
|
|
os[i] = x0;
|
|
}
|
|
}
|
|
tmp3 = tmp[3U];
|
|
tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU;
|
|
x = init1;
|
|
z = init1 + (u32)4U;
|
|
z[0U] = (u64)1U;
|
|
z[1U] = (u64)0U;
|
|
z[2U] = (u64)0U;
|
|
z[3U] = (u64)0U;
|
|
x[0U] = tmp[0U];
|
|
x[1U] = tmp[1U];
|
|
x[2U] = tmp[2U];
|
|
x[3U] = tmp[3U];
|
|
montgomery_ladder(init1, priv, init1);
|
|
encode_point(out, init1);
|
|
}
|
|
|
|
/* The below constants were generated using this sage script:
|
|
*
|
|
* #!/usr/bin/env sage
|
|
* import sys
|
|
* from sage.all import *
|
|
* def limbs(n):
|
|
* n = int(n)
|
|
* l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64)
|
|
* return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l
|
|
* ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0])
|
|
* p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0]
|
|
* print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s))
|
|
* print("static const u64 table_ladder[] = {")
|
|
* p = ec.lift_x(9)
|
|
* for i in range(252):
|
|
* l = (p[0] + p[2]) / (p[0] - p[2])
|
|
* print(("\t%s" + ("," if i != 251 else "")) % limbs(l))
|
|
* p = p * 2
|
|
* print("};")
|
|
*
|
|
*/
|
|
|
|
static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL };
|
|
|
|
static const u64 table_ladder[] = {
|
|
0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL,
|
|
0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL,
|
|
0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL,
|
|
0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL,
|
|
0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL,
|
|
0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL,
|
|
0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL,
|
|
0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL,
|
|
0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL,
|
|
0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL,
|
|
0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL,
|
|
0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL,
|
|
0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL,
|
|
0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL,
|
|
0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL,
|
|
0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL,
|
|
0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL,
|
|
0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL,
|
|
0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL,
|
|
0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL,
|
|
0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL,
|
|
0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL,
|
|
0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL,
|
|
0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL,
|
|
0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL,
|
|
0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL,
|
|
0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL,
|
|
0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL,
|
|
0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL,
|
|
0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL,
|
|
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|
|
0x21e5a278a3e6cb34ULL, 0xaefb6e6f5b151dc4ULL, 0xb30b8e049d77ca15ULL, 0x28c3c9cf53b98981ULL,
|
|
0x287fb721556cdd2aULL, 0x0d317ca897022274ULL, 0x7468c7423a543258ULL, 0x4a7f11464eb5642fULL,
|
|
0xa237a4774d193aa6ULL, 0xd865986ea92129a1ULL, 0x24c515ecf87c1a88ULL, 0x604003575f39f5ebULL,
|
|
0x47b9f189570a9b27ULL, 0x2b98cede465e4b78ULL, 0x026df551dbb85c20ULL, 0x74fcd91047e21901ULL,
|
|
0x13e2a90a23c1bfa3ULL, 0x0cb0074e478519f6ULL, 0x5ff1cbbe3af6cf44ULL, 0x67fe5438be812dbeULL,
|
|
0xd13cf64fa40f05b0ULL, 0x054dfb2f32283787ULL, 0x4173915b7f0d2aeaULL, 0x482f144f1f610d4eULL,
|
|
0xf6210201b47f8234ULL, 0x5d0ae1929e70b990ULL, 0xdcd7f455b049567cULL, 0x7e93d0f1f0916f01ULL,
|
|
0xdd79cbf18a7db4faULL, 0xbe8391bf6f74c62fULL, 0x027145d14b8291bdULL, 0x585a73ea2cbf1705ULL,
|
|
0x485ca03e928a0db2ULL, 0x10fc01a5742857e7ULL, 0x2f482edbd6d551a7ULL, 0x0f0433b5048fdb8aULL,
|
|
0x60da2e8dd7dc6247ULL, 0x88b4c9d38cd4819aULL, 0x13033ac001f66697ULL, 0x273b24fe3b367d75ULL,
|
|
0xc6e8f66a31b3b9d4ULL, 0x281514a494df49d5ULL, 0xd1726fdfc8b23da7ULL, 0x4b3ae7d103dee548ULL,
|
|
0xc6256e19ce4b9d7eULL, 0xff5c5cf186e3c61cULL, 0xacc63ca34b8ec145ULL, 0x74621888fee66574ULL,
|
|
0x956f409645290a1eULL, 0xef0bf8e3263a962eULL, 0xed6a50eb5ec2647bULL, 0x0694283a9dca7502ULL,
|
|
0x769b963643a2dcd1ULL, 0x42b7c8ea09fc5353ULL, 0x4f002aee13397eabULL, 0x63005e2c19b7d63aULL,
|
|
0xca6736da63023beaULL, 0x966c7f6db12a99b7ULL, 0xace09390c537c5e1ULL, 0x0b696063a1aa89eeULL,
|
|
0xebb03e97288c56e5ULL, 0x432a9f9f938c8be8ULL, 0xa6a5a93d5b717f71ULL, 0x1a5fb4c3e18f9d97ULL,
|
|
0x1c94e7ad1c60cdceULL, 0xee202a43fc02c4a0ULL, 0x8dafe4d867c46a20ULL, 0x0a10263c8ac27b58ULL,
|
|
0xd0dea9dfe4432a4aULL, 0x856af87bbe9277c5ULL, 0xce8472acc212c71aULL, 0x6f151b6d9bbb1e91ULL,
|
|
0x26776c527ceed56aULL, 0x7d211cb7fbf8faecULL, 0x37ae66a6fd4609ccULL, 0x1f81b702d2770c42ULL,
|
|
0x2fb0b057eac58392ULL, 0xe1dd89fe29744e9dULL, 0xc964f8eb17beb4f8ULL, 0x29571073c9a2d41eULL,
|
|
0xa948a18981c0e254ULL, 0x2df6369b65b22830ULL, 0xa33eb2d75fcfd3c6ULL, 0x078cd6ec4199a01fULL,
|
|
0x4a584a41ad900d2fULL, 0x32142b78e2c74c52ULL, 0x68c4e8338431c978ULL, 0x7f69ea9008689fc2ULL,
|
|
0x52f2c81e46a38265ULL, 0xfd78072d04a832fdULL, 0x8cd7d5fa25359e94ULL, 0x4de71b7454cc29d2ULL,
|
|
0x42eb60ad1eda6ac9ULL, 0x0aad37dfdbc09c3aULL, 0x81004b71e33cc191ULL, 0x44e6be345122803cULL,
|
|
0x03fe8388ba1920dbULL, 0xf5d57c32150db008ULL, 0x49c8c4281af60c29ULL, 0x21edb518de701aeeULL,
|
|
0x7fb63e418f06dc99ULL, 0xa4460d99c166d7b8ULL, 0x24dd5248ce520a83ULL, 0x5ec3ad712b928358ULL,
|
|
0x15022a5fbd17930fULL, 0xa4f64a77d82570e3ULL, 0x12bc8d6915783712ULL, 0x498194c0fc620abbULL,
|
|
0x38a2d9d255686c82ULL, 0x785c6bd9193e21f0ULL, 0xe4d5c81ab24a5484ULL, 0x56307860b2e20989ULL,
|
|
0x429d55f78b4d74c4ULL, 0x22f1834643350131ULL, 0x1e60c24598c71fffULL, 0x59f2f014979983efULL,
|
|
0x46a47d56eb494a44ULL, 0x3e22a854d636a18eULL, 0xb346e15274491c3bULL, 0x2ceafd4e5390cde7ULL,
|
|
0xba8a8538be0d6675ULL, 0x4b9074bb50818e23ULL, 0xcbdab89085d304c3ULL, 0x61a24fe0e56192c4ULL,
|
|
0xcb7615e6db525bcbULL, 0xdd7d8c35a567e4caULL, 0xe6b4153acafcdd69ULL, 0x2d668e097f3c9766ULL,
|
|
0xa57e7e265ce55ef0ULL, 0x5d9f4e527cd4b967ULL, 0xfbc83606492fd1e5ULL, 0x090d52beb7c3f7aeULL,
|
|
0x09b9515a1e7b4d7cULL, 0x1f266a2599da44c0ULL, 0xa1c49548e2c55504ULL, 0x7ef04287126f15ccULL,
|
|
0xfed1659dbd30ef15ULL, 0x8b4ab9eec4e0277bULL, 0x884d6236a5df3291ULL, 0x1fd96ea6bf5cf788ULL,
|
|
0x42a161981f190d9aULL, 0x61d849507e6052c1ULL, 0x9fe113bf285a2cd5ULL, 0x7c22d676dbad85d8ULL,
|
|
0x82e770ed2bfbd27dULL, 0x4c05b2ece996f5a5ULL, 0xcd40a9c2b0900150ULL, 0x5895319213d9bf64ULL,
|
|
0xe7cc5d703fea2e08ULL, 0xb50c491258e2188cULL, 0xcce30baa48205bf0ULL, 0x537c659ccfa32d62ULL,
|
|
0x37b6623a98cfc088ULL, 0xfe9bed1fa4d6aca4ULL, 0x04d29b8e56a8d1b0ULL, 0x725f71c40b519575ULL,
|
|
0x28c7f89cd0339ce6ULL, 0x8367b14469ddc18bULL, 0x883ada83a6a1652cULL, 0x585f1974034d6c17ULL,
|
|
0x89cfb266f1b19188ULL, 0xe63b4863e7c35217ULL, 0xd88c9da6b4c0526aULL, 0x3e035c9df0954635ULL,
|
|
0xdd9d5412fb45de9dULL, 0xdd684532e4cff40dULL, 0x4b5c999b151d671cULL, 0x2d8c2cc811e7f690ULL,
|
|
0x7f54be1d90055d40ULL, 0xa464c5df464aaf40ULL, 0x33979624f0e917beULL, 0x2c018dc527356b30ULL,
|
|
0xa5415024e330b3d4ULL, 0x73ff3d96691652d3ULL, 0x94ec42c4ef9b59f1ULL, 0x0747201618d08e5aULL,
|
|
0x4d6ca48aca411c53ULL, 0x66415f2fcfa66119ULL, 0x9c4dd40051e227ffULL, 0x59810bc09a02f7ebULL,
|
|
0x2a7eb171b3dc101dULL, 0x441c5ab99ffef68eULL, 0x32025c9b93b359eaULL, 0x5e8ce0a71e9d112fULL,
|
|
0xbfcccb92429503fdULL, 0xd271ba752f095d55ULL, 0x345ead5e972d091eULL, 0x18c8df11a83103baULL,
|
|
0x90cd949a9aed0f4cULL, 0xc5d1f4cb6660e37eULL, 0xb8cac52d56c52e0bULL, 0x6e42e400c5808e0dULL,
|
|
0xa3b46966eeaefd23ULL, 0x0c4f1f0be39ecdcaULL, 0x189dc8c9d683a51dULL, 0x51f27f054c09351bULL,
|
|
0x4c487ccd2a320682ULL, 0x587ea95bb3df1c96ULL, 0xc8ccf79e555cb8e8ULL, 0x547dc829a206d73dULL,
|
|
0xb822a6cd80c39b06ULL, 0xe96d54732000d4c6ULL, 0x28535b6f91463b4dULL, 0x228f4660e2486e1dULL,
|
|
0x98799538de8d3abfULL, 0x8cd8330045ebca6eULL, 0x79952a008221e738ULL, 0x4322e1a7535cd2bbULL,
|
|
0xb114c11819d1801cULL, 0x2016e4d84f3f5ec7ULL, 0xdd0e2df409260f4cULL, 0x5ec362c0ae5f7266ULL,
|
|
0xc0462b18b8b2b4eeULL, 0x7cc8d950274d1afbULL, 0xf25f7105436b02d2ULL, 0x43bbf8dcbff9ccd3ULL,
|
|
0xb6ad1767a039e9dfULL, 0xb0714da8f69d3583ULL, 0x5e55fa18b42931f5ULL, 0x4ed5558f33c60961ULL,
|
|
0x1fe37901c647a5ddULL, 0x593ddf1f8081d357ULL, 0x0249a4fd813fd7a6ULL, 0x69acca274e9caf61ULL,
|
|
0x047ba3ea330721c9ULL, 0x83423fc20e7e1ea0ULL, 0x1df4c0af01314a60ULL, 0x09a62dab89289527ULL,
|
|
0xa5b325a49cc6cb00ULL, 0xe94b5dc654b56cb6ULL, 0x3be28779adc994a0ULL, 0x4296e8f8ba3a4aadULL,
|
|
0x328689761e451eabULL, 0x2e4d598bff59594aULL, 0x49b96853d7a7084aULL, 0x4980a319601420a8ULL,
|
|
0x9565b9e12f552c42ULL, 0x8a5318db7100fe96ULL, 0x05c90b4d43add0d7ULL, 0x538b4cd66a5d4edaULL,
|
|
0xf4e94fc3e89f039fULL, 0x592c9af26f618045ULL, 0x08a36eb5fd4b9550ULL, 0x25fffaf6c2ed1419ULL,
|
|
0x34434459cc79d354ULL, 0xeeecbfb4b1d5476bULL, 0xddeb34a061615d99ULL, 0x5129cecceb64b773ULL,
|
|
0xee43215894993520ULL, 0x772f9c7cf14c0b3bULL, 0xd2e2fce306bedad5ULL, 0x715f42b546f06a97ULL,
|
|
0x434ecdceda5b5f1aULL, 0x0da17115a49741a9ULL, 0x680bd77c73edad2eULL, 0x487c02354edd9041ULL,
|
|
0xb8efeff3a70ed9c4ULL, 0x56a32aa3e857e302ULL, 0xdf3a68bd48a2a5a0ULL, 0x07f650b73176c444ULL,
|
|
0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL,
|
|
0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL,
|
|
0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL,
|
|
0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL,
|
|
0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL,
|
|
0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL,
|
|
0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL,
|
|
0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL,
|
|
0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL,
|
|
0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL,
|
|
0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL,
|
|
0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL,
|
|
0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL,
|
|
0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL,
|
|
0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL,
|
|
0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL,
|
|
0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL,
|
|
0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL,
|
|
0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL,
|
|
0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL,
|
|
0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL,
|
|
0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL,
|
|
0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL,
|
|
0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL,
|
|
0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL,
|
|
0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL
|
|
};
|
|
|
|
static void curve25519_ever64_base(u8 *out, const u8 *priv)
|
|
{
|
|
u64 swap = 1;
|
|
int i, j, k;
|
|
u64 tmp[16 + 32 + 4];
|
|
u64 *x1 = &tmp[0];
|
|
u64 *z1 = &tmp[4];
|
|
u64 *x2 = &tmp[8];
|
|
u64 *z2 = &tmp[12];
|
|
u64 *xz1 = &tmp[0];
|
|
u64 *xz2 = &tmp[8];
|
|
u64 *a = &tmp[0 + 16];
|
|
u64 *b = &tmp[4 + 16];
|
|
u64 *c = &tmp[8 + 16];
|
|
u64 *ab = &tmp[0 + 16];
|
|
u64 *abcd = &tmp[0 + 16];
|
|
u64 *ef = &tmp[16 + 16];
|
|
u64 *efgh = &tmp[16 + 16];
|
|
u64 *key = &tmp[0 + 16 + 32];
|
|
|
|
memcpy(key, priv, 32);
|
|
((u8 *)key)[0] &= 248;
|
|
((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64;
|
|
|
|
x1[0] = 1, x1[1] = x1[2] = x1[3] = 0;
|
|
z1[0] = 1, z1[1] = z1[2] = z1[3] = 0;
|
|
z2[0] = 1, z2[1] = z2[2] = z2[3] = 0;
|
|
memcpy(x2, p_minus_s, sizeof(p_minus_s));
|
|
|
|
j = 3;
|
|
for (i = 0; i < 4; ++i) {
|
|
while (j < (const int[]){ 64, 64, 64, 63 }[i]) {
|
|
u64 bit = (key[i] >> j) & 1;
|
|
k = (64 * i + j - 3);
|
|
swap = swap ^ bit;
|
|
cswap2(swap, xz1, xz2);
|
|
swap = bit;
|
|
fsub(b, x1, z1);
|
|
fadd(a, x1, z1);
|
|
fmul(c, &table_ladder[4 * k], b, ef);
|
|
fsub(b, a, c);
|
|
fadd(a, a, c);
|
|
fsqr2(ab, ab, efgh);
|
|
fmul2(xz1, xz2, ab, efgh);
|
|
++j;
|
|
}
|
|
j = 0;
|
|
}
|
|
|
|
point_double(xz1, abcd, efgh);
|
|
point_double(xz1, abcd, efgh);
|
|
point_double(xz1, abcd, efgh);
|
|
encode_point(out, xz1);
|
|
|
|
memzero_explicit(tmp, sizeof(tmp));
|
|
}
|
|
|
|
static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx);
|
|
|
|
void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
|
|
const u8 secret[CURVE25519_KEY_SIZE],
|
|
const u8 basepoint[CURVE25519_KEY_SIZE])
|
|
{
|
|
if (static_branch_likely(&curve25519_use_bmi2_adx))
|
|
curve25519_ever64(mypublic, secret, basepoint);
|
|
else
|
|
curve25519_generic(mypublic, secret, basepoint);
|
|
}
|
|
EXPORT_SYMBOL(curve25519_arch);
|
|
|
|
void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
|
|
const u8 secret[CURVE25519_KEY_SIZE])
|
|
{
|
|
if (static_branch_likely(&curve25519_use_bmi2_adx))
|
|
curve25519_ever64_base(pub, secret);
|
|
else
|
|
curve25519_generic(pub, secret, curve25519_base_point);
|
|
}
|
|
EXPORT_SYMBOL(curve25519_base_arch);
|
|
|
|
static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
|
|
unsigned int len)
|
|
{
|
|
u8 *secret = kpp_tfm_ctx(tfm);
|
|
|
|
if (!len)
|
|
curve25519_generate_secret(secret);
|
|
else if (len == CURVE25519_KEY_SIZE &&
|
|
crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE))
|
|
memcpy(secret, buf, CURVE25519_KEY_SIZE);
|
|
else
|
|
return -EINVAL;
|
|
return 0;
|
|
}
|
|
|
|
static int curve25519_generate_public_key(struct kpp_request *req)
|
|
{
|
|
struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
|
|
const u8 *secret = kpp_tfm_ctx(tfm);
|
|
u8 buf[CURVE25519_KEY_SIZE];
|
|
int copied, nbytes;
|
|
|
|
if (req->src)
|
|
return -EINVAL;
|
|
|
|
curve25519_base_arch(buf, secret);
|
|
|
|
/* might want less than we've got */
|
|
nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
|
|
copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
|
|
nbytes),
|
|
buf, nbytes);
|
|
if (copied != nbytes)
|
|
return -EINVAL;
|
|
return 0;
|
|
}
|
|
|
|
static int curve25519_compute_shared_secret(struct kpp_request *req)
|
|
{
|
|
struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
|
|
const u8 *secret = kpp_tfm_ctx(tfm);
|
|
u8 public_key[CURVE25519_KEY_SIZE];
|
|
u8 buf[CURVE25519_KEY_SIZE];
|
|
int copied, nbytes;
|
|
|
|
if (!req->src)
|
|
return -EINVAL;
|
|
|
|
copied = sg_copy_to_buffer(req->src,
|
|
sg_nents_for_len(req->src,
|
|
CURVE25519_KEY_SIZE),
|
|
public_key, CURVE25519_KEY_SIZE);
|
|
if (copied != CURVE25519_KEY_SIZE)
|
|
return -EINVAL;
|
|
|
|
curve25519_arch(buf, secret, public_key);
|
|
|
|
/* might want less than we've got */
|
|
nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
|
|
copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
|
|
nbytes),
|
|
buf, nbytes);
|
|
if (copied != nbytes)
|
|
return -EINVAL;
|
|
return 0;
|
|
}
|
|
|
|
static unsigned int curve25519_max_size(struct crypto_kpp *tfm)
|
|
{
|
|
return CURVE25519_KEY_SIZE;
|
|
}
|
|
|
|
static struct kpp_alg curve25519_alg = {
|
|
.base.cra_name = "curve25519",
|
|
.base.cra_driver_name = "curve25519-x86",
|
|
.base.cra_priority = 200,
|
|
.base.cra_module = THIS_MODULE,
|
|
.base.cra_ctxsize = CURVE25519_KEY_SIZE,
|
|
|
|
.set_secret = curve25519_set_secret,
|
|
.generate_public_key = curve25519_generate_public_key,
|
|
.compute_shared_secret = curve25519_compute_shared_secret,
|
|
.max_size = curve25519_max_size,
|
|
};
|
|
|
|
|
|
static int __init curve25519_mod_init(void)
|
|
{
|
|
if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX))
|
|
static_branch_enable(&curve25519_use_bmi2_adx);
|
|
else
|
|
return 0;
|
|
return IS_REACHABLE(CONFIG_CRYPTO_KPP) ?
|
|
crypto_register_kpp(&curve25519_alg) : 0;
|
|
}
|
|
|
|
static void __exit curve25519_mod_exit(void)
|
|
{
|
|
if (IS_REACHABLE(CONFIG_CRYPTO_KPP) &&
|
|
(boot_cpu_has(X86_FEATURE_BMI2) || boot_cpu_has(X86_FEATURE_ADX)))
|
|
crypto_unregister_kpp(&curve25519_alg);
|
|
}
|
|
|
|
module_init(curve25519_mod_init);
|
|
module_exit(curve25519_mod_exit);
|
|
|
|
MODULE_ALIAS_CRYPTO("curve25519");
|
|
MODULE_ALIAS_CRYPTO("curve25519-x86");
|
|
MODULE_LICENSE("GPL v2");
|
|
MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>");
|