^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1) // SPDX-License-Identifier: GPL-2.0 OR MIT
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 2) /*
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 3) * Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 4) * Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 5) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 6)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 7) #include <crypto/curve25519.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 8) #include <crypto/internal/kpp.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 9)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 10) #include <linux/types.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 11) #include <linux/jump_label.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 12) #include <linux/kernel.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 13) #include <linux/module.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 14) #include <linux/scatterlist.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 15)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 16) #include <asm/cpufeature.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 17) #include <asm/processor.h>
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 18)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 19) static __always_inline u64 eq_mask(u64 a, u64 b)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 20) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 21) u64 x = a ^ b;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 22) u64 minus_x = ~x + (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 23) u64 x_or_minus_x = x | minus_x;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 24) u64 xnx = x_or_minus_x >> (u32)63U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 25) return xnx - (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 26) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 27)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 28) static __always_inline u64 gte_mask(u64 a, u64 b)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 29) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 30) u64 x = a;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 31) u64 y = b;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 32) u64 x_xor_y = x ^ y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 33) u64 x_sub_y = x - y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 34) u64 x_sub_y_xor_y = x_sub_y ^ y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 35) u64 q = x_xor_y | x_sub_y_xor_y;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 36) u64 x_xor_q = x ^ q;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 37) u64 x_xor_q_ = x_xor_q >> (u32)63U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 38) return x_xor_q_ - (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 39) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 40)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 41) /* Computes the addition of four-element f1 with value in f2
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 42) * and returns the carry (if any) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 43) static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 44) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 45) u64 carry_r;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 46)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 47) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 48) /* Clear registers to propagate the carry bit */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 49) " xor %%r8d, %%r8d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 50) " xor %%r9d, %%r9d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 51) " xor %%r10d, %%r10d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 52) " xor %%r11d, %%r11d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 53) " xor %k1, %k1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 54)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 55) /* Begin addition chain */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 56) " addq 0(%3), %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 57) " movq %0, 0(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 58) " adcxq 8(%3), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 59) " movq %%r8, 8(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 60) " adcxq 16(%3), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 61) " movq %%r9, 16(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 62) " adcxq 24(%3), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 63) " movq %%r10, 24(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 64)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 65) /* Return the carry bit in a register */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 66) " adcx %%r11, %1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 67) : "+&r" (f2), "=&r" (carry_r)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 68) : "r" (out), "r" (f1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 69) : "%r8", "%r9", "%r10", "%r11", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 70) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 71)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 72) return carry_r;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 73) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 74)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 75) /* Computes the field addition of two field elements */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 76) static inline void fadd(u64 *out, const u64 *f1, const u64 *f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 77) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 78) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 79) /* Compute the raw addition of f1 + f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 80) " movq 0(%0), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 81) " addq 0(%2), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 82) " movq 8(%0), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 83) " adcxq 8(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 84) " movq 16(%0), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 85) " adcxq 16(%2), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 86) " movq 24(%0), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 87) " adcxq 24(%2), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 88)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 89) /* Wrap the result back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 90)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 91) /* Step 1: Compute carry*38 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 92) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 93) " mov $38, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 94) " cmovc %0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 95)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 96) /* Step 2: Add carry*38 to the original sum */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 97) " xor %%ecx, %%ecx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 98) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 99) " adcx %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 100) " movq %%r9, 8(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 101) " adcx %%rcx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 102) " movq %%r10, 16(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 103) " adcx %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 104) " movq %%r11, 24(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 105)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 106) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 107) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 108) " cmovc %0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 109) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 110) " movq %%r8, 0(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 111) : "+&r" (f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 112) : "r" (out), "r" (f1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 113) : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 114) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 115) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 116)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 117) /* Computes the field substraction of two field elements */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 118) static inline void fsub(u64 *out, const u64 *f1, const u64 *f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 119) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 120) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 121) /* Compute the raw substraction of f1-f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 122) " movq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 123) " subq 0(%2), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 124) " movq 8(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 125) " sbbq 8(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 126) " movq 16(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 127) " sbbq 16(%2), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 128) " movq 24(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 129) " sbbq 24(%2), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 130)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 131) /* Wrap the result back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 132)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 133) /* Step 1: Compute carry*38 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 134) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 135) " mov $38, %%rcx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 136) " cmovc %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 137)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 138) /* Step 2: Substract carry*38 from the original difference */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 139) " sub %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 140) " sbb $0, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 141) " sbb $0, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 142) " sbb $0, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 143)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 144) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 145) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 146) " cmovc %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 147) " sub %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 148)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 149) /* Store the result */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 150) " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 151) " movq %%r9, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 152) " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 153) " movq %%r11, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 154) :
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 155) : "r" (out), "r" (f1), "r" (f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 156) : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 157) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 158) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 159)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 160) /* Computes a field multiplication: out <- f1 * f2
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 161) * Uses the 8-element buffer tmp for intermediate results */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 162) static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 163) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 164) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 165) /* Compute the raw multiplication: tmp <- src1 * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 166)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 167) /* Compute src1[0] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 168) " movq 0(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 169) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 170) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 171) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 172) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 173) " adox %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 174) /* Compute src1[1] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 175) " movq 8(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 176) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 177) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 178) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 179) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 180) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 181) /* Compute src1[2] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 182) " movq 16(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 183) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 184) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 185) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 186) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 187) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 188) /* Compute src1[3] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 189) " movq 24(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 190) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 191) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 192) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 193) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 194) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 195) /* Line up pointers */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 196) " mov %0, %1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 197) " mov %2, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 198)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 199) /* Wrap the result back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 200)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 201) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 202) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 203) " mulxq 32(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 204) " xor %k3, %k3;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 205) " adoxq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 206) " mulxq 40(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 207) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 208) " adoxq 8(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 209) " mulxq 48(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 210) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 211) " adoxq 16(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 212) " mulxq 56(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 213) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 214) " adoxq 24(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 215) " adcx %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 216) " adox %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 217) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 218)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 219) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 220) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 221) " adcx %3, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 222) " movq %%r9, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 223) " adcx %3, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 224) " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 225) " adcx %3, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 226) " movq %%r11, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 227)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 228) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 229) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 230) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 231) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 232) " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 233) : "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 234) :
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 235) : "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 236) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 237) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 238)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 239) /* Computes two field multiplications:
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 240) * out[0] <- f1[0] * f2[0]
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 241) * out[1] <- f1[1] * f2[1]
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 242) * Uses the 16-element buffer tmp for intermediate results. */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 243) static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 244) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 245) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 246) /* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 247)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 248) /* Compute src1[0] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 249) " movq 0(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 250) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 251) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 252) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 253) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 254) " adox %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 255) /* Compute src1[1] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 256) " movq 8(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 257) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 258) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 259) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 260) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 261) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 262) /* Compute src1[2] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 263) " movq 16(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 264) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 265) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 266) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 267) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 268) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 269) /* Compute src1[3] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 270) " movq 24(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 271) " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 272) " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 273) " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 274) " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 275) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 276)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 277) /* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 278)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 279) /* Compute src1[0] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 280) " movq 32(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 281) " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 64(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 282) " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 72(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 283) " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 284) " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 285) " adox %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 286) /* Compute src1[1] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 287) " movq 40(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 288) " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 72(%0), %%r8;" " movq %%r8, 72(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 289) " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 80(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 290) " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 291) " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 292) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 293) /* Compute src1[2] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 294) " movq 48(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 295) " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 80(%0), %%r8;" " movq %%r8, 80(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 296) " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 88(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 297) " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 298) " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 299) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 300) /* Compute src1[3] * src2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 301) " movq 56(%1), %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 302) " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 88(%0), %%r8;" " movq %%r8, 88(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 303) " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 96(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 304) " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 104(%0);" " mov $0, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 305) " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 112(%0);" " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 306) " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 120(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 307) /* Line up pointers */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 308) " mov %0, %1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 309) " mov %2, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 310)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 311) /* Wrap the results back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 312)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 313) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 314) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 315) " mulxq 32(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 316) " xor %k3, %k3;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 317) " adoxq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 318) " mulxq 40(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 319) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 320) " adoxq 8(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 321) " mulxq 48(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 322) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 323) " adoxq 16(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 324) " mulxq 56(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 325) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 326) " adoxq 24(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 327) " adcx %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 328) " adox %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 329) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 330)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 331) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 332) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 333) " adcx %3, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 334) " movq %%r9, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 335) " adcx %3, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 336) " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 337) " adcx %3, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 338) " movq %%r11, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 339)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 340) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 341) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 342) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 343) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 344) " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 345)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 346) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 347) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 348) " mulxq 96(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 349) " xor %k3, %k3;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 350) " adoxq 64(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 351) " mulxq 104(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 352) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 353) " adoxq 72(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 354) " mulxq 112(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 355) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 356) " adoxq 80(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 357) " mulxq 120(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 358) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 359) " adoxq 88(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 360) " adcx %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 361) " adox %3, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 362) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 363)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 364) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 365) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 366) " adcx %3, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 367) " movq %%r9, 40(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 368) " adcx %3, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 369) " movq %%r10, 48(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 370) " adcx %3, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 371) " movq %%r11, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 372)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 373) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 374) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 375) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 376) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 377) " movq %%r8, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 378) : "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 379) :
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 380) : "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 381) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 382) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 383)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 384) /* Computes the field multiplication of four-element f1 with value in f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 385) static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 386) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 387) register u64 f2_r asm("rdx") = f2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 388)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 389) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 390) /* Compute the raw multiplication of f1*f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 391) " mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 392) " mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 393) " add %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 394) " mov $0, %%rcx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 395) " mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 396) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 397) " mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 398) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 399) " adcx %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 400)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 401) /* Wrap the result back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 402)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 403) /* Step 1: Compute carry*38 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 404) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 405) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 406)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 407) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 408) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 409) " adcx %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 410) " movq %%r9, 8(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 411) " adcx %%rcx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 412) " movq %%r10, 16(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 413) " adcx %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 414) " movq %%r11, 24(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 415)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 416) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 417) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 418) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 419) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 420) " movq %%r8, 0(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 421) : "+&r" (f2_r)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 422) : "r" (out), "r" (f1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 423) : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 424) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 425) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 426)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 427) /* Computes p1 <- bit ? p2 : p1 in constant time */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 428) static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 429) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 430) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 431) /* Invert the polarity of bit to match cmov expectations */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 432) " add $18446744073709551615, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 433)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 434) /* cswap p1[0], p2[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 435) " movq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 436) " movq 0(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 437) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 438) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 439) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 440) " movq %%r8, 0(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 441) " movq %%r9, 0(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 442)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 443) /* cswap p1[1], p2[1] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 444) " movq 8(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 445) " movq 8(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 446) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 447) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 448) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 449) " movq %%r8, 8(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 450) " movq %%r9, 8(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 451)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 452) /* cswap p1[2], p2[2] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 453) " movq 16(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 454) " movq 16(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 455) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 456) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 457) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 458) " movq %%r8, 16(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 459) " movq %%r9, 16(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 460)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 461) /* cswap p1[3], p2[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 462) " movq 24(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 463) " movq 24(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 464) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 465) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 466) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 467) " movq %%r8, 24(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 468) " movq %%r9, 24(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 469)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 470) /* cswap p1[4], p2[4] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 471) " movq 32(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 472) " movq 32(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 473) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 474) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 475) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 476) " movq %%r8, 32(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 477) " movq %%r9, 32(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 478)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 479) /* cswap p1[5], p2[5] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 480) " movq 40(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 481) " movq 40(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 482) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 483) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 484) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 485) " movq %%r8, 40(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 486) " movq %%r9, 40(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 487)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 488) /* cswap p1[6], p2[6] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 489) " movq 48(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 490) " movq 48(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 491) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 492) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 493) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 494) " movq %%r8, 48(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 495) " movq %%r9, 48(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 496)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 497) /* cswap p1[7], p2[7] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 498) " movq 56(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 499) " movq 56(%2), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 500) " mov %%r8, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 501) " cmovc %%r9, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 502) " cmovc %%r10, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 503) " movq %%r8, 56(%1);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 504) " movq %%r9, 56(%2);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 505) : "+&r" (bit)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 506) : "r" (p1), "r" (p2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 507) : "%r8", "%r9", "%r10", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 508) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 509) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 510)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 511) /* Computes the square of a field element: out <- f * f
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 512) * Uses the 8-element buffer tmp for intermediate results */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 513) static inline void fsqr(u64 *out, const u64 *f, u64 *tmp)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 514) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 515) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 516) /* Compute the raw multiplication: tmp <- f * f */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 517)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 518) /* Step 1: Compute all partial products */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 519) " movq 0(%1), %%rdx;" /* f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 520) " mulxq 8(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 521) " mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 522) " mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 523) " movq 24(%1), %%rdx;" /* f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 524) " mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 525) " mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 526) " movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 527) " mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 528)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 529) /* Step 2: Compute two parallel carry chains */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 530) " xor %%r15d, %%r15d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 531) " adox %%rax, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 532) " adcx %%r8, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 533) " adox %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 534) " adcx %%r9, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 535) " adox %%r15, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 536) " adcx %%r10, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 537) " adox %%r15, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 538) " adcx %%r11, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 539) " adox %%r15, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 540) " adcx %%rbx, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 541) " adcx %%r13, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 542) " adcx %%r14, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 543)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 544) /* Step 3: Compute intermediate squares */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 545) " movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 546) " movq %%rax, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 547) " add %%rcx, %%r8;" " movq %%r8, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 548) " movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 549) " adcx %%rax, %%r9;" " movq %%r9, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 550) " adcx %%rcx, %%r10;" " movq %%r10, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 551) " movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 552) " adcx %%rax, %%r11;" " movq %%r11, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 553) " adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 554) " movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 555) " adcx %%rax, %%r13;" " movq %%r13, 48(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 556) " adcx %%rcx, %%r14;" " movq %%r14, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 557)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 558) /* Line up pointers */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 559) " mov %0, %1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 560) " mov %2, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 561)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 562) /* Wrap the result back into the field */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 563)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 564) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 565) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 566) " mulxq 32(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 567) " xor %%ecx, %%ecx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 568) " adoxq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 569) " mulxq 40(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 570) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 571) " adoxq 8(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 572) " mulxq 48(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 573) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 574) " adoxq 16(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 575) " mulxq 56(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 576) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 577) " adoxq 24(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 578) " adcx %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 579) " adox %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 580) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 581)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 582) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 583) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 584) " adcx %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 585) " movq %%r9, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 586) " adcx %%rcx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 587) " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 588) " adcx %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 589) " movq %%r11, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 590)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 591) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 592) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 593) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 594) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 595) " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 596) : "+&r" (tmp), "+&r" (f), "+&r" (out)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 597) :
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 598) : "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 599) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 600) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 601)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 602) /* Computes two field squarings:
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 603) * out[0] <- f[0] * f[0]
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 604) * out[1] <- f[1] * f[1]
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 605) * Uses the 16-element buffer tmp for intermediate results */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 606) static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 607) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 608) asm volatile(
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 609) /* Step 1: Compute all partial products */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 610) " movq 0(%1), %%rdx;" /* f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 611) " mulxq 8(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 612) " mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 613) " mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 614) " movq 24(%1), %%rdx;" /* f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 615) " mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 616) " mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 617) " movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 618) " mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 619)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 620) /* Step 2: Compute two parallel carry chains */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 621) " xor %%r15d, %%r15d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 622) " adox %%rax, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 623) " adcx %%r8, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 624) " adox %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 625) " adcx %%r9, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 626) " adox %%r15, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 627) " adcx %%r10, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 628) " adox %%r15, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 629) " adcx %%r11, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 630) " adox %%r15, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 631) " adcx %%rbx, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 632) " adcx %%r13, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 633) " adcx %%r14, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 634)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 635) /* Step 3: Compute intermediate squares */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 636) " movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 637) " movq %%rax, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 638) " add %%rcx, %%r8;" " movq %%r8, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 639) " movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 640) " adcx %%rax, %%r9;" " movq %%r9, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 641) " adcx %%rcx, %%r10;" " movq %%r10, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 642) " movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 643) " adcx %%rax, %%r11;" " movq %%r11, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 644) " adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 645) " movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 646) " adcx %%rax, %%r13;" " movq %%r13, 48(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 647) " adcx %%rcx, %%r14;" " movq %%r14, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 648)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 649) /* Step 1: Compute all partial products */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 650) " movq 32(%1), %%rdx;" /* f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 651) " mulxq 40(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 652) " mulxq 48(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 653) " mulxq 56(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 654) " movq 56(%1), %%rdx;" /* f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 655) " mulxq 40(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 656) " mulxq 48(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 657) " movq 40(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 658) " mulxq 48(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 659)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 660) /* Step 2: Compute two parallel carry chains */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 661) " xor %%r15d, %%r15d;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 662) " adox %%rax, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 663) " adcx %%r8, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 664) " adox %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 665) " adcx %%r9, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 666) " adox %%r15, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 667) " adcx %%r10, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 668) " adox %%r15, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 669) " adcx %%r11, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 670) " adox %%r15, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 671) " adcx %%rbx, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 672) " adcx %%r13, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 673) " adcx %%r14, %%r14;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 674)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 675) /* Step 3: Compute intermediate squares */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 676) " movq 32(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 677) " movq %%rax, 64(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 678) " add %%rcx, %%r8;" " movq %%r8, 72(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 679) " movq 40(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 680) " adcx %%rax, %%r9;" " movq %%r9, 80(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 681) " adcx %%rcx, %%r10;" " movq %%r10, 88(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 682) " movq 48(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 683) " adcx %%rax, %%r11;" " movq %%r11, 96(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 684) " adcx %%rcx, %%rbx;" " movq %%rbx, 104(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 685) " movq 56(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 686) " adcx %%rax, %%r13;" " movq %%r13, 112(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 687) " adcx %%rcx, %%r14;" " movq %%r14, 120(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 688)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 689) /* Line up pointers */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 690) " mov %0, %1;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 691) " mov %2, %0;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 692)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 693) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 694) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 695) " mulxq 32(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 696) " xor %%ecx, %%ecx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 697) " adoxq 0(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 698) " mulxq 40(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 699) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 700) " adoxq 8(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 701) " mulxq 48(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 702) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 703) " adoxq 16(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 704) " mulxq 56(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 705) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 706) " adoxq 24(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 707) " adcx %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 708) " adox %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 709) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 710)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 711) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 712) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 713) " adcx %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 714) " movq %%r9, 8(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 715) " adcx %%rcx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 716) " movq %%r10, 16(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 717) " adcx %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 718) " movq %%r11, 24(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 719)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 720) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 721) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 722) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 723) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 724) " movq %%r8, 0(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 725)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 726) /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 727) " mov $38, %%rdx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 728) " mulxq 96(%1), %%r8, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 729) " xor %%ecx, %%ecx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 730) " adoxq 64(%1), %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 731) " mulxq 104(%1), %%r9, %%rbx;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 732) " adcx %%r13, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 733) " adoxq 72(%1), %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 734) " mulxq 112(%1), %%r10, %%r13;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 735) " adcx %%rbx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 736) " adoxq 80(%1), %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 737) " mulxq 120(%1), %%r11, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 738) " adcx %%r13, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 739) " adoxq 88(%1), %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 740) " adcx %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 741) " adox %%rcx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 742) " imul %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 743)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 744) /* Step 2: Fold the carry back into dst */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 745) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 746) " adcx %%rcx, %%r9;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 747) " movq %%r9, 40(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 748) " adcx %%rcx, %%r10;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 749) " movq %%r10, 48(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 750) " adcx %%rcx, %%r11;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 751) " movq %%r11, 56(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 752)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 753) /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 754) " mov $0, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 755) " cmovc %%rdx, %%rax;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 756) " add %%rax, %%r8;"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 757) " movq %%r8, 32(%0);"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 758) : "+&r" (tmp), "+&r" (f), "+&r" (out)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 759) :
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 760) : "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc"
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 761) );
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 762) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 763)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 764) static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 765) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 766) u64 *nq = p01_tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 767) u64 *nq_p1 = p01_tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 768) u64 *tmp1 = p01_tmp1 + (u32)16U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 769) u64 *x1 = q;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 770) u64 *x2 = nq;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 771) u64 *z2 = nq + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 772) u64 *z3 = nq_p1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 773) u64 *a = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 774) u64 *b = tmp1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 775) u64 *ab = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 776) u64 *dc = tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 777) u64 *x3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 778) u64 *z31;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 779) u64 *d0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 780) u64 *c0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 781) u64 *a1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 782) u64 *b1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 783) u64 *d;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 784) u64 *c;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 785) u64 *ab1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 786) u64 *dc1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 787) fadd(a, x2, z2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 788) fsub(b, x2, z2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 789) x3 = nq_p1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 790) z31 = nq_p1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 791) d0 = dc;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 792) c0 = dc + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 793) fadd(c0, x3, z31);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 794) fsub(d0, x3, z31);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 795) fmul2(dc, dc, ab, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 796) fadd(x3, d0, c0);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 797) fsub(z31, d0, c0);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 798) a1 = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 799) b1 = tmp1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 800) d = tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 801) c = tmp1 + (u32)12U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 802) ab1 = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 803) dc1 = tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 804) fsqr2(dc1, ab1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 805) fsqr2(nq_p1, nq_p1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 806) a1[0U] = c[0U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 807) a1[1U] = c[1U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 808) a1[2U] = c[2U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 809) a1[3U] = c[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 810) fsub(c, d, c);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 811) fmul_scalar(b1, c, (u64)121665U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 812) fadd(b1, b1, d);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 813) fmul2(nq, dc1, ab1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 814) fmul(z3, z3, x1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 815) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 816)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 817) static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 818) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 819) u64 *x2 = nq;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 820) u64 *z2 = nq + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 821) u64 *a = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 822) u64 *b = tmp1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 823) u64 *d = tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 824) u64 *c = tmp1 + (u32)12U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 825) u64 *ab = tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 826) u64 *dc = tmp1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 827) fadd(a, x2, z2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 828) fsub(b, x2, z2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 829) fsqr2(dc, ab, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 830) a[0U] = c[0U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 831) a[1U] = c[1U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 832) a[2U] = c[2U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 833) a[3U] = c[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 834) fsub(c, d, c);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 835) fmul_scalar(b, c, (u64)121665U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 836) fadd(b, b, d);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 837) fmul2(nq, dc, ab, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 838) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 839)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 840) static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 841) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 842) u64 tmp2[16U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 843) u64 p01_tmp1_swap[33U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 844) u64 *p0 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 845) u64 *p01 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 846) u64 *p03 = p01;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 847) u64 *p11 = p01 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 848) u64 *x0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 849) u64 *z0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 850) u64 *p01_tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 851) u64 *p01_tmp11;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 852) u64 *nq10;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 853) u64 *nq_p11;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 854) u64 *swap1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 855) u64 sw0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 856) u64 *nq1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 857) u64 *tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 858) memcpy(p11, init1, (u32)8U * sizeof(init1[0U]));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 859) x0 = p03;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 860) z0 = p03 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 861) x0[0U] = (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 862) x0[1U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 863) x0[2U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 864) x0[3U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 865) z0[0U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 866) z0[1U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 867) z0[2U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 868) z0[3U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 869) p01_tmp1 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 870) p01_tmp11 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 871) nq10 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 872) nq_p11 = p01_tmp1_swap + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 873) swap1 = p01_tmp1_swap + (u32)32U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 874) cswap2((u64)1U, nq10, nq_p11);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 875) point_add_and_double(init1, p01_tmp11, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 876) swap1[0U] = (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 877) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 878) u32 i;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 879) for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 880) u64 *p01_tmp12 = p01_tmp1_swap;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 881) u64 *swap2 = p01_tmp1_swap + (u32)32U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 882) u64 *nq2 = p01_tmp12;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 883) u64 *nq_p12 = p01_tmp12 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 884) u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 885) u64 sw = swap2[0U] ^ bit;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 886) cswap2(sw, nq2, nq_p12);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 887) point_add_and_double(init1, p01_tmp12, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 888) swap2[0U] = bit;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 889) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 890) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 891) sw0 = swap1[0U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 892) cswap2(sw0, nq10, nq_p11);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 893) nq1 = p01_tmp1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 894) tmp1 = p01_tmp1 + (u32)16U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 895) point_double(nq1, tmp1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 896) point_double(nq1, tmp1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 897) point_double(nq1, tmp1, tmp2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 898) memcpy(out, p0, (u32)8U * sizeof(p0[0U]));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 899)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 900) memzero_explicit(tmp2, sizeof(tmp2));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 901) memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 902) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 903)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 904) static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 905) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 906) u32 i;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 907) fsqr(o, inp, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 908) for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 909) fsqr(o, o, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 910) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 911)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 912) static void finv(u64 *o, const u64 *i, u64 *tmp)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 913) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 914) u64 t1[16U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 915) u64 *a0 = t1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 916) u64 *b = t1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 917) u64 *c = t1 + (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 918) u64 *t00 = t1 + (u32)12U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 919) u64 *tmp1 = tmp;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 920) u64 *a;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 921) u64 *t0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 922) fsquare_times(a0, i, tmp1, (u32)1U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 923) fsquare_times(t00, a0, tmp1, (u32)2U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 924) fmul(b, t00, i, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 925) fmul(a0, b, a0, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 926) fsquare_times(t00, a0, tmp1, (u32)1U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 927) fmul(b, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 928) fsquare_times(t00, b, tmp1, (u32)5U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 929) fmul(b, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 930) fsquare_times(t00, b, tmp1, (u32)10U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 931) fmul(c, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 932) fsquare_times(t00, c, tmp1, (u32)20U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 933) fmul(t00, t00, c, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 934) fsquare_times(t00, t00, tmp1, (u32)10U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 935) fmul(b, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 936) fsquare_times(t00, b, tmp1, (u32)50U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 937) fmul(c, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 938) fsquare_times(t00, c, tmp1, (u32)100U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 939) fmul(t00, t00, c, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 940) fsquare_times(t00, t00, tmp1, (u32)50U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 941) fmul(t00, t00, b, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 942) fsquare_times(t00, t00, tmp1, (u32)5U);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 943) a = t1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 944) t0 = t1 + (u32)12U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 945) fmul(o, t0, a, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 946) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 947)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 948) static void store_felem(u64 *b, u64 *f)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 949) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 950) u64 f30 = f[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 951) u64 top_bit0 = f30 >> (u32)63U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 952) u64 f31;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 953) u64 top_bit;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 954) u64 f0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 955) u64 f1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 956) u64 f2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 957) u64 f3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 958) u64 m0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 959) u64 m1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 960) u64 m2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 961) u64 m3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 962) u64 mask;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 963) u64 f0_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 964) u64 f1_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 965) u64 f2_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 966) u64 f3_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 967) u64 o0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 968) u64 o1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 969) u64 o2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 970) u64 o3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 971) f[3U] = f30 & (u64)0x7fffffffffffffffU;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 972) add_scalar(f, f, (u64)19U * top_bit0);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 973) f31 = f[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 974) top_bit = f31 >> (u32)63U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 975) f[3U] = f31 & (u64)0x7fffffffffffffffU;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 976) add_scalar(f, f, (u64)19U * top_bit);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 977) f0 = f[0U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 978) f1 = f[1U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 979) f2 = f[2U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 980) f3 = f[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 981) m0 = gte_mask(f0, (u64)0xffffffffffffffedU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 982) m1 = eq_mask(f1, (u64)0xffffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 983) m2 = eq_mask(f2, (u64)0xffffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 984) m3 = eq_mask(f3, (u64)0x7fffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 985) mask = ((m0 & m1) & m2) & m3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 986) f0_ = f0 - (mask & (u64)0xffffffffffffffedU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 987) f1_ = f1 - (mask & (u64)0xffffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 988) f2_ = f2 - (mask & (u64)0xffffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 989) f3_ = f3 - (mask & (u64)0x7fffffffffffffffU);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 990) o0 = f0_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 991) o1 = f1_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 992) o2 = f2_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 993) o3 = f3_;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 994) b[0U] = o0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 995) b[1U] = o1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 996) b[2U] = o2;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 997) b[3U] = o3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 998) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 999)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1000) static void encode_point(u8 *o, const u64 *i)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1001) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1002) const u64 *x = i;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1003) const u64 *z = i + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1004) u64 tmp[4U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1005) u64 tmp_w[16U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1006) finv(tmp, z, tmp_w);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1007) fmul(tmp, tmp, x, tmp_w);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1008) store_felem((u64 *)o, tmp);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1009) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1010)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1011) static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1012) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1013) u64 init1[8U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1014) u64 tmp[4U] = { 0U };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1015) u64 tmp3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1016) u64 *x;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1017) u64 *z;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1018) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1019) u32 i;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1020) for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1021) u64 *os = tmp;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1022) const u8 *bj = pub + i * (u32)8U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1023) u64 u = *(u64 *)bj;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1024) u64 r = u;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1025) u64 x0 = r;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1026) os[i] = x0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1027) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1028) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1029) tmp3 = tmp[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1030) tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1031) x = init1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1032) z = init1 + (u32)4U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1033) z[0U] = (u64)1U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1034) z[1U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1035) z[2U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1036) z[3U] = (u64)0U;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1037) x[0U] = tmp[0U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1038) x[1U] = tmp[1U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1039) x[2U] = tmp[2U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1040) x[3U] = tmp[3U];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1041) montgomery_ladder(init1, priv, init1);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1042) encode_point(out, init1);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1043) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1044)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1045) /* The below constants were generated using this sage script:
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1046) *
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1047) * #!/usr/bin/env sage
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1048) * import sys
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1049) * from sage.all import *
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1050) * def limbs(n):
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1051) * n = int(n)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1052) * l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1053) * return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1054) * ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0])
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1055) * p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0]
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1056) * print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1057) * print("static const u64 table_ladder[] = {")
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1058) * p = ec.lift_x(9)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1059) * for i in range(252):
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1060) * l = (p[0] + p[2]) / (p[0] - p[2])
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1061) * print(("\t%s" + ("," if i != 251 else "")) % limbs(l))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1062) * p = p * 2
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1063) * print("};")
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1064) *
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1065) */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1066)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1067) static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1068)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1069) static const u64 table_ladder[] = {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1070) 0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1071) 0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1072) 0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1073) 0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1074) 0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1075) 0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1076) 0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1077) 0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1078) 0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1079) 0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1080) 0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1081) 0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1082) 0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1083) 0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1084) 0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1085) 0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1086) 0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1087) 0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1088) 0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1089) 0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1090) 0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1091) 0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1092) 0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1093) 0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1094) 0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1095) 0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1096) 0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1097) 0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1098) 0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1099) 0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1100) 0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1101) 0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1102) 0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1103) 0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1104) 0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1105) 0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1106) 0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1107) 0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1108) 0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1109) 0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1110) 0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1111) 0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1112) 0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1113) 0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1114) 0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1115) 0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1116) 0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1117) 0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1118) 0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1119) 0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1120) 0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1121) 0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1122) 0x5c0f38cba09b9e7dULL, 0x81168cc762a3478cULL, 0x3e23b0d306fc121cULL, 0x5a238aa0a5efdcddULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1123) 0x1ba26121c4ea43ffULL, 0x36f8c77f7c8832b5ULL, 0x88fbea0b0adcf99aULL, 0x5ca9938ec25bebf9ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1124) 0xd5436a5e51fccda0ULL, 0x1dbc4797c2cd893bULL, 0x19346a65d3224a08ULL, 0x0f5034e49b9af466ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1125) 0xf23c3967a1e0b96eULL, 0xe58b08fa867a4d88ULL, 0xfb2fabc6a7341679ULL, 0x2a75381eb6026946ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1126) 0xc80a3be4c19420acULL, 0x66b1f6c681f2b6dcULL, 0x7cf7036761e93388ULL, 0x25abbbd8a660a4c4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1127) 0x91ea12ba14fd5198ULL, 0x684950fc4a3cffa9ULL, 0xf826842130f5ad28ULL, 0x3ea988f75301a441ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1128) 0xc978109a695f8c6fULL, 0x1746eb4a0530c3f3ULL, 0x444d6d77b4459995ULL, 0x75952b8c054e5cc7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1129) 0xa3703f7915f4d6aaULL, 0x66c346202f2647d8ULL, 0xd01469df811d644bULL, 0x77fea47d81a5d71fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1130) 0xc5e9529ef57ca381ULL, 0x6eeeb4b9ce2f881aULL, 0xb6e91a28e8009bd6ULL, 0x4b80be3e9afc3fecULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1131) 0x7e3773c526aed2c5ULL, 0x1b4afcb453c9a49dULL, 0xa920bdd7baffb24dULL, 0x7c54699f122d400eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1132) 0xef46c8e14fa94bc8ULL, 0xe0b074ce2952ed5eULL, 0xbea450e1dbd885d5ULL, 0x61b68649320f712cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1133) 0x8a485f7309ccbdd1ULL, 0xbd06320d7d4d1a2dULL, 0x25232973322dbef4ULL, 0x445dc4758c17f770ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1134) 0xdb0434177cc8933cULL, 0xed6fe82175ea059fULL, 0x1efebefdc053db34ULL, 0x4adbe867c65daf99ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1135) 0x3acd71a2a90609dfULL, 0xe5e991856dd04050ULL, 0x1ec69b688157c23cULL, 0x697427f6885cfe4dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1136) 0xd7be7b9b65e1a851ULL, 0xa03d28d522c536ddULL, 0x28399d658fd2b645ULL, 0x49e5b7e17c2641e1ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1137) 0x6f8c3a98700457a4ULL, 0x5078f0a25ebb6778ULL, 0xd13c3ccbc382960fULL, 0x2e003258a7df84b1ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1138) 0x8ad1f39be6296a1cULL, 0xc1eeaa652a5fbfb2ULL, 0x33ee0673fd26f3cbULL, 0x59256173a69d2cccULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1139) 0x41ea07aa4e18fc41ULL, 0xd9fc19527c87a51eULL, 0xbdaacb805831ca6fULL, 0x445b652dc916694fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1140) 0xce92a3a7f2172315ULL, 0x1edc282de11b9964ULL, 0xa1823aafe04c314aULL, 0x790a2d94437cf586ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1141) 0x71c447fb93f6e009ULL, 0x8922a56722845276ULL, 0xbf70903b204f5169ULL, 0x2f7a89891ba319feULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1142) 0x02a08eb577e2140cULL, 0xed9a4ed4427bdcf4ULL, 0x5253ec44e4323cd1ULL, 0x3e88363c14e9355bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1143) 0xaa66c14277110b8cULL, 0x1ae0391610a23390ULL, 0x2030bd12c93fc2a2ULL, 0x3ee141579555c7abULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1144) 0x9214de3a6d6e7d41ULL, 0x3ccdd88607f17efeULL, 0x674f1288f8e11217ULL, 0x5682250f329f93d0ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1145) 0x6cf00b136d2e396eULL, 0x6e4cf86f1014debfULL, 0x5930b1b5bfcc4e83ULL, 0x047069b48aba16b6ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1146) 0x0d4ce4ab69b20793ULL, 0xb24db91a97d0fb9eULL, 0xcdfa50f54e00d01dULL, 0x221b1085368bddb5ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1147) 0xe7e59468b1e3d8d2ULL, 0x53c56563bd122f93ULL, 0xeee8a903e0663f09ULL, 0x61efa662cbbe3d42ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1148) 0x2cf8ddddde6eab2aULL, 0x9bf80ad51435f231ULL, 0x5deadacec9f04973ULL, 0x29275b5d41d29b27ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1149) 0xcfde0f0895ebf14fULL, 0xb9aab96b054905a7ULL, 0xcae80dd9a1c420fdULL, 0x0a63bf2f1673bbc7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1150) 0x092f6e11958fbc8cULL, 0x672a81e804822fadULL, 0xcac8351560d52517ULL, 0x6f3f7722c8f192f8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1151) 0xf8ba90ccc2e894b7ULL, 0x2c7557a438ff9f0dULL, 0x894d1d855ae52359ULL, 0x68e122157b743d69ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1152) 0xd87e5570cfb919f3ULL, 0x3f2cdecd95798db9ULL, 0x2121154710c0a2ceULL, 0x3c66a115246dc5b2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1153) 0xcbedc562294ecb72ULL, 0xba7143c36a280b16ULL, 0x9610c2efd4078b67ULL, 0x6144735d946a4b1eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1154) 0x536f111ed75b3350ULL, 0x0211db8c2041d81bULL, 0xf93cb1000e10413cULL, 0x149dfd3c039e8876ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1155) 0xd479dde46b63155bULL, 0xb66e15e93c837976ULL, 0xdafde43b1f13e038ULL, 0x5fafda1a2e4b0b35ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1156) 0x3600bbdf17197581ULL, 0x3972050bbe3cd2c2ULL, 0x5938906dbdd5be86ULL, 0x34fce5e43f9b860fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1157) 0x75a8a4cd42d14d02ULL, 0x828dabc53441df65ULL, 0x33dcabedd2e131d3ULL, 0x3ebad76fb814d25fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1158) 0xd4906f566f70e10fULL, 0x5d12f7aa51690f5aULL, 0x45adb16e76cefcf2ULL, 0x01f768aead232999ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1159) 0x2b6cc77b6248febdULL, 0x3cd30628ec3aaffdULL, 0xce1c0b80d4ef486aULL, 0x4c3bff2ea6f66c23ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1160) 0x3f2ec4094aeaeb5fULL, 0x61b19b286e372ca7ULL, 0x5eefa966de2a701dULL, 0x23b20565de55e3efULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1161) 0xe301ca5279d58557ULL, 0x07b2d4ce27c2874fULL, 0xa532cd8a9dcf1d67ULL, 0x2a52fee23f2bff56ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1162) 0x8624efb37cd8663dULL, 0xbbc7ac20ffbd7594ULL, 0x57b85e9c82d37445ULL, 0x7b3052cb86a6ec66ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1163) 0x3482f0ad2525e91eULL, 0x2cb68043d28edca0ULL, 0xaf4f6d052e1b003aULL, 0x185f8c2529781b0aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1164) 0xaa41de5bd80ce0d6ULL, 0x9407b2416853e9d6ULL, 0x563ec36e357f4c3aULL, 0x4cc4b8dd0e297bceULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1165) 0xa2fc1a52ffb8730eULL, 0x1811f16e67058e37ULL, 0x10f9a366cddf4ee1ULL, 0x72f4a0c4a0b9f099ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1166) 0x8c16c06f663f4ea7ULL, 0x693b3af74e970fbaULL, 0x2102e7f1d69ec345ULL, 0x0ba53cbc968a8089ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1167) 0xca3d9dc7fea15537ULL, 0x4c6824bb51536493ULL, 0xb9886314844006b1ULL, 0x40d2a72ab454cc60ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1168) 0x5936a1b712570975ULL, 0x91b9d648debda657ULL, 0x3344094bb64330eaULL, 0x006ba10d12ee51d0ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1169) 0x19228468f5de5d58ULL, 0x0eb12f4c38cc05b0ULL, 0xa1039f9dd5601990ULL, 0x4502d4ce4fff0e0bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1170) 0xeb2054106837c189ULL, 0xd0f6544c6dd3b93cULL, 0x40727064c416d74fULL, 0x6e15c6114b502ef0ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1171) 0x4df2a398cfb1a76bULL, 0x11256c7419f2f6b1ULL, 0x4a497962066e6043ULL, 0x705b3aab41355b44ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1172) 0x365ef536d797b1d8ULL, 0x00076bd622ddf0dbULL, 0x3bbf33b0e0575a88ULL, 0x3777aa05c8e4ca4dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1173) 0x392745c85578db5fULL, 0x6fda4149dbae5ae2ULL, 0xb1f0b00b8adc9867ULL, 0x09963437d36f1da3ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1174) 0x7e824e90a5dc3853ULL, 0xccb5f6641f135cbdULL, 0x6736d86c87ce8fccULL, 0x625f3ce26604249fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1175) 0xaf8ac8059502f63fULL, 0x0c05e70a2e351469ULL, 0x35292e9c764b6305ULL, 0x1a394360c7e23ac3ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1176) 0xd5c6d53251183264ULL, 0x62065abd43c2b74fULL, 0xb5fbf5d03b973f9bULL, 0x13a3da3661206e5eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1177) 0xc6bd5837725d94e5ULL, 0x18e30912205016c5ULL, 0x2088ce1570033c68ULL, 0x7fba1f495c837987ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1178) 0x5a8c7423f2f9079dULL, 0x1735157b34023fc5ULL, 0xe4f9b49ad2fab351ULL, 0x6691ff72c878e33cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1179) 0x122c2adedc5eff3eULL, 0xf8dd4bf1d8956cf4ULL, 0xeb86205d9e9e5bdaULL, 0x049b92b9d975c743ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1180) 0xa5379730b0f6c05aULL, 0x72a0ffacc6f3a553ULL, 0xb0032c34b20dcd6dULL, 0x470e9dbc88d5164aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1181) 0xb19cf10ca237c047ULL, 0xb65466711f6c81a2ULL, 0xb3321bd16dd80b43ULL, 0x48c14f600c5fbe8eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1182) 0x66451c264aa6c803ULL, 0xb66e3904a4fa7da6ULL, 0xd45f19b0b3128395ULL, 0x31602627c3c9bc10ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1183) 0x3120dc4832e4e10dULL, 0xeb20c46756c717f7ULL, 0x00f52e3f67280294ULL, 0x566d4fc14730c509ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1184) 0x7e3a5d40fd837206ULL, 0xc1e926dc7159547aULL, 0x216730fba68d6095ULL, 0x22e8c3843f69cea7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1185) 0x33d074e8930e4b2bULL, 0xb6e4350e84d15816ULL, 0x5534c26ad6ba2365ULL, 0x7773c12f89f1f3f3ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1186) 0x8cba404da57962aaULL, 0x5b9897a81999ce56ULL, 0x508e862f121692fcULL, 0x3a81907fa093c291ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1187) 0x0dded0ff4725a510ULL, 0x10d8cc10673fc503ULL, 0x5b9d151c9f1f4e89ULL, 0x32a5c1d5cb09a44cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1188) 0x1e0aa442b90541fbULL, 0x5f85eb7cc1b485dbULL, 0xbee595ce8a9df2e5ULL, 0x25e496c722422236ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1189) 0x5edf3c46cd0fe5b9ULL, 0x34e75a7ed2a43388ULL, 0xe488de11d761e352ULL, 0x0e878a01a085545cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1190) 0xba493c77e021bb04ULL, 0x2b4d1843c7df899aULL, 0x9ea37a487ae80d67ULL, 0x67a9958011e41794ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1191) 0x4b58051a6697b065ULL, 0x47e33f7d8d6ba6d4ULL, 0xbb4da8d483ca46c1ULL, 0x68becaa181c2db0dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1192) 0x8d8980e90b989aa5ULL, 0xf95eb14a2c93c99bULL, 0x51c6c7c4796e73a2ULL, 0x6e228363b5efb569ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1193) 0xc6bbc0b02dd624c8ULL, 0x777eb47dec8170eeULL, 0x3cde15a004cfafa9ULL, 0x1dc6bc087160bf9bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1194) 0x2e07e043eec34002ULL, 0x18e9fc677a68dc7fULL, 0xd8da03188bd15b9aULL, 0x48fbc3bb00568253ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1195) 0x57547d4cfb654ce1ULL, 0xd3565b82a058e2adULL, 0xf63eaf0bbf154478ULL, 0x47531ef114dfbb18ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1196) 0xe1ec630a4278c587ULL, 0x5507d546ca8e83f3ULL, 0x85e135c63adc0c2bULL, 0x0aa7efa85682844eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1197) 0x72691ba8b3e1f615ULL, 0x32b4e9701fbe3ffaULL, 0x97b6d92e39bb7868ULL, 0x2cfe53dea02e39e8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1198) 0x687392cd85cd52b0ULL, 0x27ff66c910e29831ULL, 0x97134556a9832d06ULL, 0x269bb0360a84f8a0ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1199) 0x706e55457643f85cULL, 0x3734a48c9b597d1bULL, 0x7aee91e8c6efa472ULL, 0x5cd6abc198a9d9e0ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1200) 0x0e04de06cb3ce41aULL, 0xd8c6eb893402e138ULL, 0x904659bb686e3772ULL, 0x7215c371746ba8c8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1201) 0xfd12a97eeae4a2d9ULL, 0x9514b7516394f2c5ULL, 0x266fd5809208f294ULL, 0x5c847085619a26b9ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1202) 0x52985410fed694eaULL, 0x3c905b934a2ed254ULL, 0x10bb47692d3be467ULL, 0x063b3d2d69e5e9e1ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1203) 0x472726eedda57debULL, 0xefb6c4ae10f41891ULL, 0x2b1641917b307614ULL, 0x117c554fc4f45b7cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1204) 0xc07cf3118f9d8812ULL, 0x01dbd82050017939ULL, 0xd7e803f4171b2827ULL, 0x1015e87487d225eaULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1205) 0xc58de3fed23acc4dULL, 0x50db91c294a7be2dULL, 0x0b94d43d1c9cf457ULL, 0x6b1640fa6e37524aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1206) 0x692f346c5fda0d09ULL, 0x200b1c59fa4d3151ULL, 0xb8c46f760777a296ULL, 0x4b38395f3ffdfbcfULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1207) 0x18d25e00be54d671ULL, 0x60d50582bec8aba6ULL, 0x87ad8f263b78b982ULL, 0x50fdf64e9cda0432ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1208) 0x90f567aac578dcf0ULL, 0xef1e9b0ef2a3133bULL, 0x0eebba9242d9de71ULL, 0x15473c9bf03101c7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1209) 0x7c77e8ae56b78095ULL, 0xb678e7666e6f078eULL, 0x2da0b9615348ba1fULL, 0x7cf931c1ff733f0bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1210) 0x26b357f50a0a366cULL, 0xe9708cf42b87d732ULL, 0xc13aeea5f91cb2c0ULL, 0x35d90c991143bb4cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1211) 0x47c1c404a9a0d9dcULL, 0x659e58451972d251ULL, 0x3875a8c473b38c31ULL, 0x1fbd9ed379561f24ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1212) 0x11fabc6fd41ec28dULL, 0x7ef8dfe3cd2a2dcaULL, 0x72e73b5d8c404595ULL, 0x6135fa4954b72f27ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1213) 0xccfc32a2de24b69cULL, 0x3f55698c1f095d88ULL, 0xbe3350ed5ac3f929ULL, 0x5e9bf806ca477eebULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1214) 0xe9ce8fb63c309f68ULL, 0x5376f63565e1f9f4ULL, 0xd1afcfb35a6393f1ULL, 0x6632a1ede5623506ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1215) 0x0b7d6c390c2ded4cULL, 0x56cb3281df04cb1fULL, 0x66305a1249ecc3c7ULL, 0x5d588b60a38ca72aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1216) 0xa6ecbf78e8e5f42dULL, 0x86eeb44b3c8a3eecULL, 0xec219c48fbd21604ULL, 0x1aaf1af517c36731ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1217) 0xc306a2836769bde7ULL, 0x208280622b1e2adbULL, 0x8027f51ffbff94a6ULL, 0x76cfa1ce1124f26bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1218) 0x18eb00562422abb6ULL, 0xf377c4d58f8c29c3ULL, 0x4dbbc207f531561aULL, 0x0253b7f082128a27ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1219) 0x3d1f091cb62c17e0ULL, 0x4860e1abd64628a9ULL, 0x52d17436309d4253ULL, 0x356f97e13efae576ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1220) 0xd351e11aa150535bULL, 0x3e6b45bb1dd878ccULL, 0x0c776128bed92c98ULL, 0x1d34ae93032885b8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1221) 0x4ba0488ca85ba4c3ULL, 0x985348c33c9ce6ceULL, 0x66124c6f97bda770ULL, 0x0f81a0290654124aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1222) 0x9ed09ca6569b86fdULL, 0x811009fd18af9a2dULL, 0xff08d03f93d8c20aULL, 0x52a148199faef26bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1223) 0x3e03f9dc2d8d1b73ULL, 0x4205801873961a70ULL, 0xc0d987f041a35970ULL, 0x07aa1f15a1c0d549ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1224) 0xdfd46ce08cd27224ULL, 0x6d0a024f934e4239ULL, 0x808a7a6399897b59ULL, 0x0a4556e9e13d95a2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1225) 0xd21a991fe9c13045ULL, 0x9b0e8548fe7751b8ULL, 0x5da643cb4bf30035ULL, 0x77db28d63940f721ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1226) 0xfc5eeb614adc9011ULL, 0x5229419ae8c411ebULL, 0x9ec3e7787d1dcf74ULL, 0x340d053e216e4cb5ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1227) 0xcac7af39b48df2b4ULL, 0xc0faec2871a10a94ULL, 0x140a69245ca575edULL, 0x0cf1c37134273a4cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1228) 0xc8ee306ac224b8a5ULL, 0x57eaee7ccb4930b0ULL, 0xa1e806bdaacbe74fULL, 0x7d9a62742eeb657dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1229) 0x9eb6b6ef546c4830ULL, 0x885cca1fddb36e2eULL, 0xe6b9f383ef0d7105ULL, 0x58654fef9d2e0412ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1230) 0xa905c4ffbe0e8e26ULL, 0x942de5df9b31816eULL, 0x497d723f802e88e1ULL, 0x30684dea602f408dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1231) 0x21e5a278a3e6cb34ULL, 0xaefb6e6f5b151dc4ULL, 0xb30b8e049d77ca15ULL, 0x28c3c9cf53b98981ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1232) 0x287fb721556cdd2aULL, 0x0d317ca897022274ULL, 0x7468c7423a543258ULL, 0x4a7f11464eb5642fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1233) 0xa237a4774d193aa6ULL, 0xd865986ea92129a1ULL, 0x24c515ecf87c1a88ULL, 0x604003575f39f5ebULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1234) 0x47b9f189570a9b27ULL, 0x2b98cede465e4b78ULL, 0x026df551dbb85c20ULL, 0x74fcd91047e21901ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1235) 0x13e2a90a23c1bfa3ULL, 0x0cb0074e478519f6ULL, 0x5ff1cbbe3af6cf44ULL, 0x67fe5438be812dbeULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1236) 0xd13cf64fa40f05b0ULL, 0x054dfb2f32283787ULL, 0x4173915b7f0d2aeaULL, 0x482f144f1f610d4eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1237) 0xf6210201b47f8234ULL, 0x5d0ae1929e70b990ULL, 0xdcd7f455b049567cULL, 0x7e93d0f1f0916f01ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1238) 0xdd79cbf18a7db4faULL, 0xbe8391bf6f74c62fULL, 0x027145d14b8291bdULL, 0x585a73ea2cbf1705ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1239) 0x485ca03e928a0db2ULL, 0x10fc01a5742857e7ULL, 0x2f482edbd6d551a7ULL, 0x0f0433b5048fdb8aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1240) 0x60da2e8dd7dc6247ULL, 0x88b4c9d38cd4819aULL, 0x13033ac001f66697ULL, 0x273b24fe3b367d75ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1241) 0xc6e8f66a31b3b9d4ULL, 0x281514a494df49d5ULL, 0xd1726fdfc8b23da7ULL, 0x4b3ae7d103dee548ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1242) 0xc6256e19ce4b9d7eULL, 0xff5c5cf186e3c61cULL, 0xacc63ca34b8ec145ULL, 0x74621888fee66574ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1243) 0x956f409645290a1eULL, 0xef0bf8e3263a962eULL, 0xed6a50eb5ec2647bULL, 0x0694283a9dca7502ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1244) 0x769b963643a2dcd1ULL, 0x42b7c8ea09fc5353ULL, 0x4f002aee13397eabULL, 0x63005e2c19b7d63aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1245) 0xca6736da63023beaULL, 0x966c7f6db12a99b7ULL, 0xace09390c537c5e1ULL, 0x0b696063a1aa89eeULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1246) 0xebb03e97288c56e5ULL, 0x432a9f9f938c8be8ULL, 0xa6a5a93d5b717f71ULL, 0x1a5fb4c3e18f9d97ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1247) 0x1c94e7ad1c60cdceULL, 0xee202a43fc02c4a0ULL, 0x8dafe4d867c46a20ULL, 0x0a10263c8ac27b58ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1248) 0xd0dea9dfe4432a4aULL, 0x856af87bbe9277c5ULL, 0xce8472acc212c71aULL, 0x6f151b6d9bbb1e91ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1249) 0x26776c527ceed56aULL, 0x7d211cb7fbf8faecULL, 0x37ae66a6fd4609ccULL, 0x1f81b702d2770c42ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1250) 0x2fb0b057eac58392ULL, 0xe1dd89fe29744e9dULL, 0xc964f8eb17beb4f8ULL, 0x29571073c9a2d41eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1251) 0xa948a18981c0e254ULL, 0x2df6369b65b22830ULL, 0xa33eb2d75fcfd3c6ULL, 0x078cd6ec4199a01fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1252) 0x4a584a41ad900d2fULL, 0x32142b78e2c74c52ULL, 0x68c4e8338431c978ULL, 0x7f69ea9008689fc2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1253) 0x52f2c81e46a38265ULL, 0xfd78072d04a832fdULL, 0x8cd7d5fa25359e94ULL, 0x4de71b7454cc29d2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1254) 0x42eb60ad1eda6ac9ULL, 0x0aad37dfdbc09c3aULL, 0x81004b71e33cc191ULL, 0x44e6be345122803cULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1255) 0x03fe8388ba1920dbULL, 0xf5d57c32150db008ULL, 0x49c8c4281af60c29ULL, 0x21edb518de701aeeULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1256) 0x7fb63e418f06dc99ULL, 0xa4460d99c166d7b8ULL, 0x24dd5248ce520a83ULL, 0x5ec3ad712b928358ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1257) 0x15022a5fbd17930fULL, 0xa4f64a77d82570e3ULL, 0x12bc8d6915783712ULL, 0x498194c0fc620abbULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1258) 0x38a2d9d255686c82ULL, 0x785c6bd9193e21f0ULL, 0xe4d5c81ab24a5484ULL, 0x56307860b2e20989ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1259) 0x429d55f78b4d74c4ULL, 0x22f1834643350131ULL, 0x1e60c24598c71fffULL, 0x59f2f014979983efULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1260) 0x46a47d56eb494a44ULL, 0x3e22a854d636a18eULL, 0xb346e15274491c3bULL, 0x2ceafd4e5390cde7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1261) 0xba8a8538be0d6675ULL, 0x4b9074bb50818e23ULL, 0xcbdab89085d304c3ULL, 0x61a24fe0e56192c4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1262) 0xcb7615e6db525bcbULL, 0xdd7d8c35a567e4caULL, 0xe6b4153acafcdd69ULL, 0x2d668e097f3c9766ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1263) 0xa57e7e265ce55ef0ULL, 0x5d9f4e527cd4b967ULL, 0xfbc83606492fd1e5ULL, 0x090d52beb7c3f7aeULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1264) 0x09b9515a1e7b4d7cULL, 0x1f266a2599da44c0ULL, 0xa1c49548e2c55504ULL, 0x7ef04287126f15ccULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1265) 0xfed1659dbd30ef15ULL, 0x8b4ab9eec4e0277bULL, 0x884d6236a5df3291ULL, 0x1fd96ea6bf5cf788ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1266) 0x42a161981f190d9aULL, 0x61d849507e6052c1ULL, 0x9fe113bf285a2cd5ULL, 0x7c22d676dbad85d8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1267) 0x82e770ed2bfbd27dULL, 0x4c05b2ece996f5a5ULL, 0xcd40a9c2b0900150ULL, 0x5895319213d9bf64ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1268) 0xe7cc5d703fea2e08ULL, 0xb50c491258e2188cULL, 0xcce30baa48205bf0ULL, 0x537c659ccfa32d62ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1269) 0x37b6623a98cfc088ULL, 0xfe9bed1fa4d6aca4ULL, 0x04d29b8e56a8d1b0ULL, 0x725f71c40b519575ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1270) 0x28c7f89cd0339ce6ULL, 0x8367b14469ddc18bULL, 0x883ada83a6a1652cULL, 0x585f1974034d6c17ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1271) 0x89cfb266f1b19188ULL, 0xe63b4863e7c35217ULL, 0xd88c9da6b4c0526aULL, 0x3e035c9df0954635ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1272) 0xdd9d5412fb45de9dULL, 0xdd684532e4cff40dULL, 0x4b5c999b151d671cULL, 0x2d8c2cc811e7f690ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1273) 0x7f54be1d90055d40ULL, 0xa464c5df464aaf40ULL, 0x33979624f0e917beULL, 0x2c018dc527356b30ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1274) 0xa5415024e330b3d4ULL, 0x73ff3d96691652d3ULL, 0x94ec42c4ef9b59f1ULL, 0x0747201618d08e5aULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1275) 0x4d6ca48aca411c53ULL, 0x66415f2fcfa66119ULL, 0x9c4dd40051e227ffULL, 0x59810bc09a02f7ebULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1276) 0x2a7eb171b3dc101dULL, 0x441c5ab99ffef68eULL, 0x32025c9b93b359eaULL, 0x5e8ce0a71e9d112fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1277) 0xbfcccb92429503fdULL, 0xd271ba752f095d55ULL, 0x345ead5e972d091eULL, 0x18c8df11a83103baULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1278) 0x90cd949a9aed0f4cULL, 0xc5d1f4cb6660e37eULL, 0xb8cac52d56c52e0bULL, 0x6e42e400c5808e0dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1279) 0xa3b46966eeaefd23ULL, 0x0c4f1f0be39ecdcaULL, 0x189dc8c9d683a51dULL, 0x51f27f054c09351bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1280) 0x4c487ccd2a320682ULL, 0x587ea95bb3df1c96ULL, 0xc8ccf79e555cb8e8ULL, 0x547dc829a206d73dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1281) 0xb822a6cd80c39b06ULL, 0xe96d54732000d4c6ULL, 0x28535b6f91463b4dULL, 0x228f4660e2486e1dULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1282) 0x98799538de8d3abfULL, 0x8cd8330045ebca6eULL, 0x79952a008221e738ULL, 0x4322e1a7535cd2bbULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1283) 0xb114c11819d1801cULL, 0x2016e4d84f3f5ec7ULL, 0xdd0e2df409260f4cULL, 0x5ec362c0ae5f7266ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1284) 0xc0462b18b8b2b4eeULL, 0x7cc8d950274d1afbULL, 0xf25f7105436b02d2ULL, 0x43bbf8dcbff9ccd3ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1285) 0xb6ad1767a039e9dfULL, 0xb0714da8f69d3583ULL, 0x5e55fa18b42931f5ULL, 0x4ed5558f33c60961ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1286) 0x1fe37901c647a5ddULL, 0x593ddf1f8081d357ULL, 0x0249a4fd813fd7a6ULL, 0x69acca274e9caf61ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1287) 0x047ba3ea330721c9ULL, 0x83423fc20e7e1ea0ULL, 0x1df4c0af01314a60ULL, 0x09a62dab89289527ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1288) 0xa5b325a49cc6cb00ULL, 0xe94b5dc654b56cb6ULL, 0x3be28779adc994a0ULL, 0x4296e8f8ba3a4aadULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1289) 0x328689761e451eabULL, 0x2e4d598bff59594aULL, 0x49b96853d7a7084aULL, 0x4980a319601420a8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1290) 0x9565b9e12f552c42ULL, 0x8a5318db7100fe96ULL, 0x05c90b4d43add0d7ULL, 0x538b4cd66a5d4edaULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1291) 0xf4e94fc3e89f039fULL, 0x592c9af26f618045ULL, 0x08a36eb5fd4b9550ULL, 0x25fffaf6c2ed1419ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1292) 0x34434459cc79d354ULL, 0xeeecbfb4b1d5476bULL, 0xddeb34a061615d99ULL, 0x5129cecceb64b773ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1293) 0xee43215894993520ULL, 0x772f9c7cf14c0b3bULL, 0xd2e2fce306bedad5ULL, 0x715f42b546f06a97ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1294) 0x434ecdceda5b5f1aULL, 0x0da17115a49741a9ULL, 0x680bd77c73edad2eULL, 0x487c02354edd9041ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1295) 0xb8efeff3a70ed9c4ULL, 0x56a32aa3e857e302ULL, 0xdf3a68bd48a2a5a0ULL, 0x07f650b73176c444ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1296) 0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1297) 0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1298) 0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1299) 0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1300) 0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1301) 0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1302) 0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1303) 0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1304) 0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1305) 0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1306) 0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1307) 0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1308) 0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1309) 0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1310) 0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1311) 0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1312) 0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1313) 0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1314) 0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1315) 0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1316) 0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1317) 0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1318) 0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1319) 0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1320) 0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1321) 0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1322) };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1323)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1324) static void curve25519_ever64_base(u8 *out, const u8 *priv)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1325) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1326) u64 swap = 1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1327) int i, j, k;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1328) u64 tmp[16 + 32 + 4];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1329) u64 *x1 = &tmp[0];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1330) u64 *z1 = &tmp[4];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1331) u64 *x2 = &tmp[8];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1332) u64 *z2 = &tmp[12];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1333) u64 *xz1 = &tmp[0];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1334) u64 *xz2 = &tmp[8];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1335) u64 *a = &tmp[0 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1336) u64 *b = &tmp[4 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1337) u64 *c = &tmp[8 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1338) u64 *ab = &tmp[0 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1339) u64 *abcd = &tmp[0 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1340) u64 *ef = &tmp[16 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1341) u64 *efgh = &tmp[16 + 16];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1342) u64 *key = &tmp[0 + 16 + 32];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1343)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1344) memcpy(key, priv, 32);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1345) ((u8 *)key)[0] &= 248;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1346) ((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1347)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1348) x1[0] = 1, x1[1] = x1[2] = x1[3] = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1349) z1[0] = 1, z1[1] = z1[2] = z1[3] = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1350) z2[0] = 1, z2[1] = z2[2] = z2[3] = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1351) memcpy(x2, p_minus_s, sizeof(p_minus_s));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1352)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1353) j = 3;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1354) for (i = 0; i < 4; ++i) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1355) while (j < (const int[]){ 64, 64, 64, 63 }[i]) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1356) u64 bit = (key[i] >> j) & 1;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1357) k = (64 * i + j - 3);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1358) swap = swap ^ bit;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1359) cswap2(swap, xz1, xz2);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1360) swap = bit;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1361) fsub(b, x1, z1);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1362) fadd(a, x1, z1);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1363) fmul(c, &table_ladder[4 * k], b, ef);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1364) fsub(b, a, c);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1365) fadd(a, a, c);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1366) fsqr2(ab, ab, efgh);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1367) fmul2(xz1, xz2, ab, efgh);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1368) ++j;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1369) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1370) j = 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1371) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1372)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1373) point_double(xz1, abcd, efgh);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1374) point_double(xz1, abcd, efgh);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1375) point_double(xz1, abcd, efgh);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1376) encode_point(out, xz1);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1377)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1378) memzero_explicit(tmp, sizeof(tmp));
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1379) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1380)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1381) static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1382)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1383) void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1384) const u8 secret[CURVE25519_KEY_SIZE],
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1385) const u8 basepoint[CURVE25519_KEY_SIZE])
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1386) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1387) if (static_branch_likely(&curve25519_use_bmi2_adx))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1388) curve25519_ever64(mypublic, secret, basepoint);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1389) else
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1390) curve25519_generic(mypublic, secret, basepoint);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1391) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1392) EXPORT_SYMBOL(curve25519_arch);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1393)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1394) void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1395) const u8 secret[CURVE25519_KEY_SIZE])
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1396) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1397) if (static_branch_likely(&curve25519_use_bmi2_adx))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1398) curve25519_ever64_base(pub, secret);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1399) else
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1400) curve25519_generic(pub, secret, curve25519_base_point);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1401) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1402) EXPORT_SYMBOL(curve25519_base_arch);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1403)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1404) static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1405) unsigned int len)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1406) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1407) u8 *secret = kpp_tfm_ctx(tfm);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1408)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1409) if (!len)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1410) curve25519_generate_secret(secret);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1411) else if (len == CURVE25519_KEY_SIZE &&
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1412) crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1413) memcpy(secret, buf, CURVE25519_KEY_SIZE);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1414) else
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1415) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1416) return 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1417) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1418)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1419) static int curve25519_generate_public_key(struct kpp_request *req)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1420) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1421) struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1422) const u8 *secret = kpp_tfm_ctx(tfm);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1423) u8 buf[CURVE25519_KEY_SIZE];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1424) int copied, nbytes;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1425)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1426) if (req->src)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1427) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1428)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1429) curve25519_base_arch(buf, secret);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1430)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1431) /* might want less than we've got */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1432) nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1433) copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1434) nbytes),
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1435) buf, nbytes);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1436) if (copied != nbytes)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1437) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1438) return 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1439) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1440)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1441) static int curve25519_compute_shared_secret(struct kpp_request *req)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1442) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1443) struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1444) const u8 *secret = kpp_tfm_ctx(tfm);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1445) u8 public_key[CURVE25519_KEY_SIZE];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1446) u8 buf[CURVE25519_KEY_SIZE];
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1447) int copied, nbytes;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1448)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1449) if (!req->src)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1450) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1451)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1452) copied = sg_copy_to_buffer(req->src,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1453) sg_nents_for_len(req->src,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1454) CURVE25519_KEY_SIZE),
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1455) public_key, CURVE25519_KEY_SIZE);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1456) if (copied != CURVE25519_KEY_SIZE)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1457) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1458)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1459) curve25519_arch(buf, secret, public_key);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1460)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1461) /* might want less than we've got */
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1462) nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1463) copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1464) nbytes),
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1465) buf, nbytes);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1466) if (copied != nbytes)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1467) return -EINVAL;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1468) return 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1469) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1470)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1471) static unsigned int curve25519_max_size(struct crypto_kpp *tfm)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1472) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1473) return CURVE25519_KEY_SIZE;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1474) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1475)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1476) static struct kpp_alg curve25519_alg = {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1477) .base.cra_name = "curve25519",
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1478) .base.cra_driver_name = "curve25519-x86",
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1479) .base.cra_priority = 200,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1480) .base.cra_module = THIS_MODULE,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1481) .base.cra_ctxsize = CURVE25519_KEY_SIZE,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1482)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1483) .set_secret = curve25519_set_secret,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1484) .generate_public_key = curve25519_generate_public_key,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1485) .compute_shared_secret = curve25519_compute_shared_secret,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1486) .max_size = curve25519_max_size,
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1487) };
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1488)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1489)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1490) static int __init curve25519_mod_init(void)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1491) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1492) if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1493) static_branch_enable(&curve25519_use_bmi2_adx);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1494) else
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1495) return 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1496) return IS_REACHABLE(CONFIG_CRYPTO_KPP) ?
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1497) crypto_register_kpp(&curve25519_alg) : 0;
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1498) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1499)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1500) static void __exit curve25519_mod_exit(void)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1501) {
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1502) if (IS_REACHABLE(CONFIG_CRYPTO_KPP) &&
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1503) static_branch_likely(&curve25519_use_bmi2_adx))
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1504) crypto_unregister_kpp(&curve25519_alg);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1505) }
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1506)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1507) module_init(curve25519_mod_init);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1508) module_exit(curve25519_mod_exit);
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1509)
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1510) MODULE_ALIAS_CRYPTO("curve25519");
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1511) MODULE_ALIAS_CRYPTO("curve25519-x86");
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1512) MODULE_LICENSE("GPL v2");
^8f3ce5b39 (kx 2023-10-28 12:00:06 +0300 1513) MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>");