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NTT Evaulation #962

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94cbbc8
[eval] add build
SharzyL Jan 25, 2025
804da11
[eval] add eval.ntt*
SharzyL Jan 25, 2025
f51b47e
[eval] use #ifdef instead of commenting code
Lucas-Wye Jan 26, 2025
9ecdf6f
[evel] replace py scripts with ws
Lucas-Wye Jan 27, 2025
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3 changes: 2 additions & 1 deletion tests/default.nix
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Original file line number Diff line number Diff line change
Expand Up @@ -91,11 +91,12 @@ let
pytorch = casesSelf.callPackage ./pytorch { };
disp = casesSelf.callPackage ./disp { };
emurt-test = casesSelf.callPackage ./emurt/tests { };
eval = casesSelf.callPackage ./eval { };
}));

# remove non-case attributes in scope
scopeStripped = {
inherit (scope) mlir intrinsic asm perf codegen rvv_bench pytorch disp emurt-test;
inherit (scope) mlir intrinsic asm perf codegen rvv_bench pytorch disp emurt-test eval;
};

# This derivation is for internal CI use only.
Expand Down
44 changes: 44 additions & 0 deletions tests/eval/_ntt/default.nix
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{ linkerScript
, makeBuilder
, t1main
}:

let
builder = makeBuilder { casePrefix = "eval"; };
build_ntt = caseName /* must be consistent with attr name */ : main_src: kernel_src:
builder {
caseName = caseName;

src = ./.;

passthru.featuresRequired = { };

buildPhase = ''
runHook preBuild

$CC -T${linkerScript} \
${main_src} ${kernel_src} \
${t1main} \
-o $pname.elf

runHook postBuild
'';

meta.description = "test case 'ntt'";
};

in {
ntt_64 = build_ntt "ntt_64" ./ntt.c ./ntt_64_main.c;
ntt_128 = build_ntt "ntt_128" ./ntt.c ./ntt_128_main.c;
ntt_256 = build_ntt "ntt_256" ./ntt.c ./ntt_256_main.c;
ntt_512 = build_ntt "ntt_512" ./ntt.c ./ntt_512_main.c;
ntt_1024 = build_ntt "ntt_1024" ./ntt.c ./ntt_1024_main.c;
ntt_4096 = build_ntt "ntt_4096" ./ntt.c ./ntt_4096_main.c;

ntt_mem_64 = build_ntt "ntt_mem_64" ./ntt_mem.c ./ntt_64_main.c;
ntt_mem_128 = build_ntt "ntt_mem_128" ./ntt_mem.c ./ntt_128_main.c;
ntt_mem_256 = build_ntt "ntt_mem_256" ./ntt_mem.c ./ntt_256_main.c;
ntt_mem_512 = build_ntt "ntt_mem_512" ./ntt_mem.c ./ntt_512_main.c;
ntt_mem_1024 = build_ntt "ntt_mem_1024" ./ntt_mem.c ./ntt_1024_main.c;
ntt_mem_4096 = build_ntt "ntt_mem_4096" ./ntt_mem.c ./ntt_4096_main.c;
}
132 changes: 132 additions & 0 deletions tests/eval/_ntt/ntt.c
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#include <assert.h>
#include <stdio.h>

// array is of length n=2^l, p is a prime number
// roots is of length l, where g = roots[0] satisfies that
// g^(2^l) == 1 mod p and g^(2^(l-1)) == -1 mod p
// roots[i] = g^(2^i) (hence roots[l - 1] = -1)
//
// 32bit * n <= VLEN * 8 => n <= VLEN / 4
void ntt(const int *array, int l, const int *twiddle, int p, int *dst) {
// prepare an array of permutation indices
assert(l <= 16);

int n = 1 << l;

// registers:
// v8-15: array
// v16-24: loaded elements (until vrgather)
// v4-7: permutation index (until vrgather)
// v16-24: coefficients
int vlenb;
asm("csrr %0, vlenb" : "=r"(vlenb));
int elements_in_vreg = vlenb * 2;
assert(elements_in_vreg >= n);

asm("vsetvli zero, %0, e16, m4, tu, mu\n"
"vid.v v4\n"
:
: "r"(n));

// prepare the bit-reversal permutation list
for (int k = 0; 2 * k < l; k++) {
asm("vand.vx v8, v4, %0\n"
"vsub.vv v4, v4, v8\n"
"vsll.vx v8, v8, %1\n" // get the k-th digit and shift left

"vand.vx v12, v4, %2\n"
"vsub.vv v4, v4, v12\n"
"vsrl.vx v12, v12, %1\n" // get the (l-k-1)-th digit and shift right

"vor.vv v4, v4, v8\n"
"vor.vv v4, v4, v12\n"

:
: "r"(1 << k), "r"(l - 1 - 2 * k), "r"(1 << (l - k - 1)));
}

// perform bit-reversal for input coefficients
asm("vsetvli zero, %0, e32, m8, tu, mu\n"
"vle32.v v16, 0(%1)\n"
"vrgatherei16.vv v8, v16, v4\n"
"vse32.v v8, 0(%2)\n"

:
: "r"(n), "r"(array), "r"(dst));

// generate permutation list (0, 2, 4, ..., 1, 3, 5, ...)
asm("vsetvli zero, %0, e16, m4, tu, mu\n"
"vid.v v4\n"
"vsrl.vx v0, v4, %1\n" // (0, 0, 0, 0, ..., 1, 1, 1, 1, ...)
"vand.vx v4, v4, %2\n" // (0, 1, 2, 3, ..., 0, 1, 2, 3, ...)
"vsll.vi v4, v4, 1\n"
"vadd.vv v4, v4, v0\n"

:
: "r"(n), "r"(l-1), "r"((n / 2 - 1)), "r"(n / 2));

#ifdef DEBUG
int tmp1[USERN];// c
int tmp2[USERN];// c
int tmp3[USERN];// c
#endif

for (int k = 0; k < l; k++) {
asm(
// "n" mode
"vsetvli zero, %0, e32, m8, tu, mu\n"
// load coefficients
"vle32.v v16, 0(%4)\n"
// perform permutation for coefficient
"vrgatherei16.vv v8, v16, v4\n"
// save coefficients
"vse32.v v8, 0(%4)\n"

// "n/2" mode
"vsetvli zero, %1, e32, m4, tu, mu\n"
// load twiddle factors
"vle32.v v16, 0(%2)\n"
// load half coefficients
"vle32.v v8, 0(%4)\n"
"vle32.v v12, 0(%5)\n"

#ifdef DEBUG
"vse32.v v8, 0(%6)\n"
"vse32.v v12, 0(%7)\n"
"vse32.v v16, 0(%8)\n"
#endif

// butterfly operation
"vmul.vv v12, v12, v16\n"
"vrem.vx v12, v12, %3\n"
"vadd.vv v16, v8, v12\n" // NOTE: use lazy reduction here
"vsub.vv v20, v8, v12\n"
// save half coefficients
"vse32.v v16, 0(%4)\n"
"vse32.v v20, 0(%5)\n"
:
: /* %0 */ "r"(n),
/* %1 */ "r"(n / 2),
/* %2 */ "r"(twiddle + k * (n / 2)),
/* %3 */ "r"(p),
"r"(dst),
"r"(dst + (n / 2))
#ifdef DEBUG
, "r"(tmp1), "r"(tmp2), "r"(tmp3)
#endif
);
#ifdef DEBUG
for(int k = 0; k < USERN; k++) {
printf("(%x, %x, %x)\n", tmp1[k], tmp2[k], tmp3[k]);
}
#endif
}
// deal with modular
asm("vsetvli zero, %0, e32, m8, tu, mu\n"
"vle32.v v16, 0(%1)\n"
"vrem.vx v8, v16, %2\n"
"vse32.v v8, 0(%1)\n"

:
: "r"(n), "r"(dst), "r"(p));
}
161 changes: 161 additions & 0 deletions tests/eval/_ntt/ntt_1024_main.c
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61 changes: 61 additions & 0 deletions tests/eval/_ntt/ntt_128_main.c
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// requires VLEN >= 512

#include <stdio.h>

void ntt(const int *array, int l, const int *twiddle, int p, int *dst);

void test() {
const int l = 7;
const int n = 128;
static const int arr[128] = {
9997, 6362, 7134, 11711, 5849, 9491, 5972, 4164, 5894, 11069,
7697, 8319, 2077, 12086, 10239, 5394, 4898, 1370, 1205, 2997,
5274, 4625, 11983, 1789, 3645, 7666, 12128, 10883, 7376, 8883,
2321, 1889, 2026, 8059, 2741, 865, 1785, 9955, 2395, 9330,
11465, 7383, 9649, 11285, 3647, 578, 1158, 9936, 12019, 11114,
7894, 4832, 10148, 10363, 11388, 9122, 10758, 2642, 4171, 10586,
1194, 5280, 3055, 9220, 10577, 9046, 1284, 7915, 10213, 6902,
3777, 9896, 429, 7730, 7429, 8666, 10887, 11255, 2437, 7782,
1327, 7010, 4009, 1038, 9466, 5352, 1473, 10067, 11753, 2019,
8472, 7665, 2679, 5070, 2248, 3044, 10301, 10671, 2092, 1069,
9032, 9131, 11715, 6662, 3423, 10027, 5436, 4259, 999, 3316,
11164, 5597, 6578, 800, 8242, 6952, 2288, 1481, 6770, 11948,
8938, 10813, 11107, 1362, 4510, 9388, 8840, 10557};
// const int twiddle[7] = {12149, 7311, 5860, 4134, 8246, 1479, 12288};
static const int twiddle[] = {
// layer #0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

// layer #1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479,

// layer #2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146,

// layer #3
1, 1, 1, 1, 1, 1, 1, 1, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305,

// layer #4
1, 1, 1, 1, 5860, 5860, 5860, 5860, 4134, 4134, 4134, 4134, 3621, 3621, 3621, 3621, 8246, 8246, 8246, 8246, 1212, 1212, 1212, 1212, 11567, 11567, 11567, 11567, 8785, 8785, 8785, 8785, 1479, 1479, 1479, 1479, 3195, 3195, 3195, 3195, 6553, 6553, 6553, 6553, 9744, 9744, 9744, 9744, 5146, 5146, 5146, 5146, 10643, 10643, 10643, 10643, 1305, 1305, 1305, 1305, 3542, 3542, 3542, 3542,

// layer #5
1, 1, 7311, 7311, 5860, 5860, 3006, 3006, 4134, 4134, 5023, 5023, 3621, 3621, 2625, 2625, 8246, 8246, 8961, 8961, 1212, 1212, 563, 563, 11567, 11567, 5728, 5728, 8785, 8785, 4821, 4821, 1479, 1479, 10938, 10938, 3195, 3195, 9545, 9545, 6553, 6553, 6461, 6461, 9744, 9744, 11340, 11340, 5146, 5146, 5777, 5777, 10643, 10643, 9314, 9314, 1305, 1305, 4591, 4591, 3542, 3542, 2639, 2639,

// layer #6
1, 12149, 7311, 8736, 5860, 2963, 3006, 9275, 4134, 11112, 5023, 9542, 3621, 9198, 2625, 1170, 8246, 726, 8961, 11227, 1212, 2366, 563, 7203, 11567, 2768, 5728, 9154, 8785, 11289, 4821, 955, 1479, 1853, 10938, 4805, 3195, 7393, 9545, 3201, 6553, 4255, 6461, 4846, 9744, 12208, 11340, 9970, 5146, 4611, 5777, 2294, 10643, 9238, 9314, 10963, 1305, 1635, 4591, 8577, 3542, 7969, 2639, 11499,
};
const int p = 12289;
int dst[128];
ntt(arr, l, twiddle, p, dst);

#ifdef DEBUG
for (int i = 0; i < n; i++) {
printf("%d", dst[i]);
if ((i + 1) % 8 == 0) {
printf("\n");
} else {
printf(" ");
}
}
#endif
}
77 changes: 77 additions & 0 deletions tests/eval/_ntt/ntt_256_main.c
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// requires VLEN >= 1024

#include <stdio.h>

void ntt(const int *array, int l, const int *twiddle, int p, int *dst);

void test() {
const int l = 8;
const int n = 256;
static const int arr[256] = {
9997, 6362, 7134, 11711, 5849, 9491, 5972, 4164, 5894, 11069,
7697, 8319, 2077, 12086, 10239, 5394, 4898, 1370, 1205, 2997,
5274, 4625, 11983, 1789, 3645, 7666, 12128, 10883, 7376, 8883,
2321, 1889, 2026, 8059, 2741, 865, 1785, 9955, 2395, 9330,
11465, 7383, 9649, 11285, 3647, 578, 1158, 9936, 12019, 11114,
7894, 4832, 10148, 10363, 11388, 9122, 10758, 2642, 4171, 10586,
1194, 5280, 3055, 9220, 10577, 9046, 1284, 7915, 10213, 6902,
3777, 9896, 429, 7730, 7429, 8666, 10887, 11255, 2437, 7782,
1327, 7010, 4009, 1038, 9466, 5352, 1473, 10067, 11753, 2019,
8472, 7665, 2679, 5070, 2248, 3044, 10301, 10671, 2092, 1069,
9032, 9131, 11715, 6662, 3423, 10027, 5436, 4259, 999, 3316,
11164, 5597, 6578, 800, 8242, 6952, 2288, 1481, 6770, 11948,
8938, 10813, 11107, 1362, 4510, 9388, 8840, 10557, 6206, 7808,
7131, 1394, 2604, 1509, 689, 5222, 8867, 9934, 7165, 6099,
3229, 1263, 4414, 12212, 4963, 9236, 9040, 6062, 11163, 8169,
4575, 6097, 3006, 1, 1384, 12039, 5445, 11355, 12197, 9182,
10085, 9295, 8890, 10651, 1540, 9061, 10222, 2524, 2213, 6974,
2066, 7348, 7444, 173, 7529, 3884, 3531, 4312, 640, 5352,
5880, 3985, 781, 10165, 1106, 8114, 6043, 8202, 10617, 3060,
11173, 11521, 6933, 9540, 11782, 2284, 6462, 3740, 2581, 126,
508, 12165, 4956, 8045, 9379, 5250, 8148, 6539, 4891, 11252,
5041, 9969, 8524, 9892, 4058, 10580, 10025, 9748, 8829, 4438,
468, 4773, 1657, 1348, 10055, 7192, 9556, 5919, 5690, 6153,
6270, 4938, 6206, 1003, 596, 11173, 9858, 4825, 7940, 794,
7477, 10146, 7203, 4729, 5741, 4603, 1806, 7034, 8772, 10435,
10777, 1359, 630, 11059, 8005, 225};
// const int twiddle[8] = {8340, 12149, 7311, 5860, 4134, 8246, 1479, 12288};
static const int twiddle[] = {
// layer #0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

// layer #1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479,

// layer #2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146,

// layer #3
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305,

// layer #4
1, 1, 1, 1, 1, 1, 1, 1, 5860, 5860, 5860, 5860, 5860, 5860, 5860, 5860, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 4134, 3621, 3621, 3621, 3621, 3621, 3621, 3621, 3621, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 8246, 1212, 1212, 1212, 1212, 1212, 1212, 1212, 1212, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 11567, 8785, 8785, 8785, 8785, 8785, 8785, 8785, 8785, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 1479, 3195, 3195, 3195, 3195, 3195, 3195, 3195, 3195, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 6553, 9744, 9744, 9744, 9744, 9744, 9744, 9744, 9744, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 5146, 10643, 10643, 10643, 10643, 10643, 10643, 10643, 10643, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 1305, 3542, 3542, 3542, 3542, 3542, 3542, 3542, 3542,

// layer #5
1, 1, 1, 1, 7311, 7311, 7311, 7311, 5860, 5860, 5860, 5860, 3006, 3006, 3006, 3006, 4134, 4134, 4134, 4134, 5023, 5023, 5023, 5023, 3621, 3621, 3621, 3621, 2625, 2625, 2625, 2625, 8246, 8246, 8246, 8246, 8961, 8961, 8961, 8961, 1212, 1212, 1212, 1212, 563, 563, 563, 563, 11567, 11567, 11567, 11567, 5728, 5728, 5728, 5728, 8785, 8785, 8785, 8785, 4821, 4821, 4821, 4821, 1479, 1479, 1479, 1479, 10938, 10938, 10938, 10938, 3195, 3195, 3195, 3195, 9545, 9545, 9545, 9545, 6553, 6553, 6553, 6553, 6461, 6461, 6461, 6461, 9744, 9744, 9744, 9744, 11340, 11340, 11340, 11340, 5146, 5146, 5146, 5146, 5777, 5777, 5777, 5777, 10643, 10643, 10643, 10643, 9314, 9314, 9314, 9314, 1305, 1305, 1305, 1305, 4591, 4591, 4591, 4591, 3542, 3542, 3542, 3542, 2639, 2639, 2639, 2639,

// layer #6
1, 1, 12149, 12149, 7311, 7311, 8736, 8736, 5860, 5860, 2963, 2963, 3006, 3006, 9275, 9275, 4134, 4134, 11112, 11112, 5023, 5023, 9542, 9542, 3621, 3621, 9198, 9198, 2625, 2625, 1170, 1170, 8246, 8246, 726, 726, 8961, 8961, 11227, 11227, 1212, 1212, 2366, 2366, 563, 563, 7203, 7203, 11567, 11567, 2768, 2768, 5728, 5728, 9154, 9154, 8785, 8785, 11289, 11289, 4821, 4821, 955, 955, 1479, 1479, 1853, 1853, 10938, 10938, 4805, 4805, 3195, 3195, 7393, 7393, 9545, 9545, 3201, 3201, 6553, 6553, 4255, 4255, 6461, 6461, 4846, 4846, 9744, 9744, 12208, 12208, 11340, 11340, 9970, 9970, 5146, 5146, 4611, 4611, 5777, 5777, 2294, 2294, 10643, 10643, 9238, 9238, 9314, 9314, 10963, 10963, 1305, 1305, 1635, 1635, 4591, 4591, 8577, 8577, 3542, 3542, 7969, 7969, 2639, 2639, 11499, 11499,

// layer #7
1, 8340, 12149, 12144, 7311, 8011, 8736, 9048, 5860, 11336, 2963, 10530, 3006, 480, 9275, 6534, 4134, 6915, 11112, 2731, 5023, 10908, 9542, 9005, 3621, 5067, 9198, 3382, 2625, 5791, 1170, 334, 8246, 2396, 726, 8652, 8961, 5331, 11227, 3289, 1212, 6522, 2366, 8595, 563, 1022, 7203, 4388, 11567, 130, 2768, 6378, 5728, 4177, 9154, 5092, 8785, 12171, 11289, 4231, 4821, 9821, 955, 1428, 1479, 8993, 1853, 6747, 10938, 1673, 4805, 11560, 3195, 3748, 7393, 3707, 9545, 9447, 3201, 4632, 6553, 2837, 4255, 8357, 6461, 9764, 4846, 9408, 9744, 10092, 12208, 355, 11340, 11745, 9970, 2426, 5146, 4452, 4611, 3459, 5777, 7300, 2294, 10276, 10643, 11462, 9238, 5179, 9314, 12280, 10963, 1260, 1305, 7935, 1635, 7399, 4591, 8705, 8577, 10200, 3542, 9813, 7969, 2548, 2639, 11950, 11499, 10593,
};
const int p = 12289;
int dst[256];
ntt(arr, l, twiddle, p, dst);

#ifdef DEBUG
for (int i = 0; i < n; i++) {
printf("%d", dst[i]);
if ((i + 1) % 8 == 0) {
printf("\n");
} else {
printf(" ");
}
}
#endif
}
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