← All problems Problem 707
F(w,h) = 2^(w*h - d) where d is the GF(2) nullity of the w x h Lights Out matrix. By Sutner, d = deg gcd(p_w(x), p_h(x+1)) with p_0 = 1, p_1 = x, p_{n+1} = x*p_n + p_{n-1} over GF(2). For S(199,199) the heights are the Fibonacci numbers f_1..f_199 (astronomically large), so p_{f_k}(x+1) is computed modulo P = p_199(x) via the 2x2 companion matrix B = [[x+1,1],[1,0]] using the Fibonacci addition chain B^{f_k} = B^{f_{k-1}} * B^{f_{k-2}}. Polynomials are bitsets: 14 words of 32 bits each held in i64 slots. Exponents are tracked mod 1e9+6 (Fermat), sum taken mod 1e9+7.
View problem on Project Euler
Performance comparison
Metric Our solution Best known
Time complexity O(n^2)O(log n)Space complexity O(1)O(1)Approach Flow solution Matrix exponentiation Verdict Suboptimal
Flow source
# Project Euler 707: Lights Out
# F(w,h) = 2^(w*h - d) where d is the GF(2) nullity of the w x h Lights Out
# matrix. By Sutner, d = deg gcd(p_w(x), p_h(x+1)) with p_0 = 1, p_1 = x,
# p_{n+1} = x*p_n + p_{n-1} over GF(2). For S(199,199) the heights are the
# Fibonacci numbers f_1..f_199 (astronomically large), so p_{f_k}(x+1) is
# computed modulo P = p_199(x) via the 2x2 companion matrix B = [[x+1,1],[1,0]]
# using the Fibonacci addition chain B^{f_k} = B^{f_{k-1}} * B^{f_{k-2}}.
# Polynomials are bitsets: 14 words of 32 bits each held in i64 slots.
# Exponents are tracked mod 1e9+6 (Fermat), sum taken mod 1e9+7.
extern {
function calloc(n: i64, size: i64) -> ptr<void>
function free(p: ptr<void>) -> void
}
# degree of poly at base b, or -1 if zero
function pdeg(p: ptr<i64>, b: i64) -> i64 {
let mut i: i64 = 13
while i >= 0 {
if p[b + i] != 0 {
let mut w: i64 = p[b + i]
let mut d: i64 = 0
while w > 1 {
w = w / 2
d = d + 1
}
return i * 32 + d
}
i = i - 1
}
return -1
}
function pclear(p: ptr<i64>, b: i64) -> void {
for i in 0..14 { p[b + i] = 0 }
}
function pcopy(d: ptr<i64>, db: i64, s: ptr<i64>, sb: i64) -> void {
for i in 0..14 { d[db + i] = s[sb + i] }
}
function pxorinto(d: ptr<i64>, db: i64, s: ptr<i64>, sb: i64) -> void {
for i in 0..14 { d[db + i] = d[db + i] ^ s[sb + i] }
}
function pbit(p: ptr<i64>, b: i64, i: i64) -> i64 {
return (p[b + i / 32] >> (i % 32)) & 1
}
# a ^= m << s (words are 32-bit values so shifted parts stay below bit 63)
function pxshift(a: ptr<i64>, ab: i64, m: ptr<i64>, mb: i64, s: i64) -> void {
let wo: i64 = s / 32
let bo: i64 = s % 32
let mask: i64 = 4294967295
for j in 0..14 {
let w: i64 = m[mb + j]
if w != 0 {
let k: i64 = wo + j
if k < 14 {
a[ab + k] = a[ab + k] ^ ((w << bo) & mask)
}
let hi: i64 = w >> (32 - bo)
if hi != 0 && k + 1 < 14 {
a[ab + k + 1] = a[ab + k + 1] ^ hi
}
}
}
}
# r = a * c (carryless product over GF(2)); r is cleared first
function pmul(r: ptr<i64>, rb: i64, a: ptr<i64>, ab: i64, c: ptr<i64>, cb: i64) -> void {
pclear(r, rb)
let da: i64 = pdeg(a, ab)
let mut i: i64 = 0
while i <= da {
if pbit(a, ab, i) == 1 {
pxshift(r, rb, c, cb, i)
}
i = i + 1
}
}
# a = a mod m in place (m must be nonzero)
function pred(a: ptr<i64>, ab: i64, m: ptr<i64>, mb: i64) -> void {
let dm: i64 = pdeg(m, mb)
let mut da: i64 = pdeg(a, ab)
while da >= dm {
pxshift(a, ab, m, mb, da - dm)
da = pdeg(a, ab)
}
}
# degree of gcd(a, b); both buffers (base 0) are destroyed
function pgcddeg(a: ptr<i64>, b: ptr<i64>) -> i64 {
let mut x: ptr<i64> = a
let mut y: ptr<i64> = b
while pdeg(y, 0) >= 0 {
pred(x, 0, y, 0)
let t: ptr<i64> = x
x = y
y = t
}
return pdeg(x, 0)
}
function powmod2(e: i64, md: i64) -> i64 {
let mut r: i64 = 1
let mut bs: i64 = 2
let mut ee: i64 = e
while ee > 0 {
if ee % 2 == 1 { r = r * bs % md }
bs = bs * bs % md
ee = ee / 2
}
return r
}
# C = A * B with entries reduced mod P; matrices are 4 polys at bases e*14
function matmul(cm: ptr<i64>, am: ptr<i64>, bm: ptr<i64>, pp: ptr<i64>, t1: ptr<i64>, t2: ptr<i64>) -> void {
for e in 0..4 {
let i: i64 = e / 2
let j: i64 = e % 2
pmul(t1, 0, am, (2 * i) * 14, bm, j * 14)
pmul(t2, 0, am, (2 * i + 1) * 14, bm, (2 + j) * 14)
pxorinto(t1, 0, t2, 0)
pred(t1, 0, pp, 0)
pcopy(cm, e * 14, t1, 0)
}
}
function main() -> i32 {
let md: i64 = 1000000007
let q: i64 = 1000000006
let w: i64 = 199
let mut pa: ptr<i64> = calloc(14, 8)
let mut pb: ptr<i64> = calloc(14, 8)
let mut pt: ptr<i64> = calloc(14, 8)
let t1: ptr<i64> = calloc(14, 8)
let t2: ptr<i64> = calloc(14, 8)
let ga: ptr<i64> = calloc(14, 8)
let gb: ptr<i64> = calloc(14, 8)
let mut ma: ptr<i64> = calloc(56, 8)
let mut mb: ptr<i64> = calloc(56, 8)
let mut mc: ptr<i64> = calloc(56, 8)
# build P = p_199(x): p_0 = 1, p_1 = x, p_{k} = x*p_{k-1} + p_{k-2}
pa[0] = 1
pb[0] = 2
let mut k: i64 = 2
while k <= w {
pclear(pt, 0)
pxshift(pt, 0, pb, 0, 1)
pxorinto(pt, 0, pa, 0)
let tp: ptr<i64> = pa
pa = pb
pb = pt
pt = tp
k = k + 1
}
# pb now holds P, degree 199
# B = [[x+1, 1], [1, 0]]; entries at bases 0, 14, 28, 42
ma[0] = 3
ma[14] = 1
ma[28] = 1
pcopy(mb, 0, ma, 0)
pcopy(mb, 14, ma, 14)
pcopy(mb, 28, ma, 28)
pcopy(mb, 42, ma, 42)
# k = 1 and k = 2: h = f_k = 1, p_1(x+1) = x + 1
pcopy(ga, 0, pb, 0)
pclear(gb, 0)
gb[0] = 3
let d12: i64 = pgcddeg(ga, gb)
let e12: i64 = ((w * 1 - d12) % q + q) % q
let mut total: i64 = 2 * powmod2(e12, md) % md
# k = 3..199: M_k = M_{k-1} * M_{k-2}, f_k tracked mod q
let mut fib1: i64 = 1
let mut fib2: i64 = 1
k = 3
while k <= 199 {
matmul(mc, ma, mb, pb, t1, t2)
let fm: i64 = (fib1 + fib2) % q
let tm: ptr<i64> = mb
mb = ma
ma = mc
mc = tm
fib2 = fib1
fib1 = fm
pcopy(ga, 0, pb, 0)
pcopy(gb, 0, ma, 0)
let d: i64 = pgcddeg(ga, gb)
let e: i64 = ((w * fm - d) % q + q) % q
total = (total + powmod2(e, md)) % md
k = k + 1
}
printf("%lld\n", total)
return 0
}
Generated C
#include <stdint.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
/* Flow runtime helpers */
typedef struct flow_temp_node { struct flow_temp_node* next; } flow_temp_node;
static flow_temp_node* flow_temp_head = NULL;
static int flow_temp_atexit_set = 0;
__attribute__((unused)) static void flow_temp_free_all(void) {
while (flow_temp_head) {
flow_temp_node* n = flow_temp_head;
flow_temp_head = n->next;
free(n);
}
}
__attribute__((unused)) static void* flow_temp_alloc(size_t nbytes) {
flow_temp_node* node = (flow_temp_node*)malloc(sizeof(flow_temp_node) + nbytes);
if (!node) return NULL;
node->next = flow_temp_head;
flow_temp_head = node;
if (!flow_temp_atexit_set) {
flow_temp_atexit_set = 1;
atexit(flow_temp_free_all);
}
return (void*)(node + 1);
}
#ifndef FLOW_DIAG
#define FLOW_DIAG(msg) fprintf(stderr, "%s", (msg))
#endif
#ifndef FLOW_LOG
#define FLOW_LOG(fmt, ...) printf(fmt, __VA_ARGS__)
#endif
#ifndef FLOW_LOG_EMPTY
#define FLOW_LOG_EMPTY(fmt) printf(fmt)
#endif
static char* flow_strcat(const char* a, const char* b) {
size_t la = strlen(a ? a : ""), lb = strlen(b ? b : "");
char* r = (char*)flow_temp_alloc(la + lb + 1);
if (!r) return NULL;
if (la) memcpy(r, a, la);
if (lb) memcpy(r + la, b, lb);
r[la + lb] = '\0';
return r;
}
#define __flow_in_arr(arr, val) __extension__ ({ \
int _found = 0; \
size_t _n = sizeof(arr)/sizeof((arr)[0]); \
for (size_t _i = 0; _i < _n; _i++) { \
if ((arr)[_i] == (val)) { _found = 1; break; } \
} _found; })
/* Unified fault handler (MISRA #279) — override with -DFLOW_FAULT_HANDLER=fn */
#ifndef FLOW_FAULT_HANDLER
__attribute__((unused)) static inline void flow_fault_handler(const char* msg) {
fprintf(stderr, "flow: %s\n", msg ? msg : "fault");
abort();
#if defined(__GNUC__) || defined(__clang__)
__builtin_unreachable();
#endif
}
#else
#define flow_fault_handler FLOW_FAULT_HANDLER
#endif
#define flow_div_by_zero_handler() flow_fault_handler("division by zero")
#define flow_shift_ub_handler() flow_fault_handler("invalid shift (amount out of range or left-shift of negative)")
#ifndef FLOW_CHECKED_DIV
#define FLOW_CHECKED_DIV(L, R) (((R) != 0) ? ((L) / (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_MOD
#define FLOW_CHECKED_MOD(L, R) (((R) != 0) ? ((L) % (R)) : (flow_div_by_zero_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHL
#define FLOW_CHECKED_SHL(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull)) && ((L) >= 0)) ? ((L) << (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif
#ifndef FLOW_CHECKED_SHR
#define FLOW_CHECKED_SHR(L, R) ((((R) >= 0) && ((unsigned long long)(R) < (sizeof(L) * 8ull))) ? ((L) >> (R)) : (flow_shift_ub_handler(), (L) * 0))
#endif
#include <math.h>
void* _ui_state = NULL;
static inline float i32_to_f32(int32_t v) { return (float)v; }
/* Host stub for @gpu kernels (device codegen replaces this). */
static inline int32_t gpu_thread_id(void) { return 0; }
int64_t pdeg_ptr_i64_i64(int64_t* p, int64_t b);
void pclear_ptr_i64_i64(int64_t* p, int64_t b);
void pcopy_ptr_i64_i64_ptr_i64_i64(int64_t* d, int64_t db, int64_t* s, int64_t sb);
void pxorinto_ptr_i64_i64_ptr_i64_i64(int64_t* d, int64_t db, int64_t* s, int64_t sb);
int64_t pbit_ptr_i64_i64_i64(int64_t* p, int64_t b, int64_t i);
void pxshift_ptr_i64_i64_ptr_i64_i64_i64(int64_t* a, int64_t ab, int64_t* m, int64_t mb, int64_t s);
void pmul_ptr_i64_i64_ptr_i64_i64_ptr_i64_i64(int64_t* r, int64_t rb, int64_t* a, int64_t ab, int64_t* c, int64_t cb);
void pred_ptr_i64_i64_ptr_i64_i64(int64_t* a, int64_t ab, int64_t* m, int64_t mb);
int64_t pgcddeg_ptr_i64_ptr_i64(int64_t* a, int64_t* b);
int64_t powmod2_i64_i64(int64_t e, int64_t md);
void matmul_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64(int64_t* cm, int64_t* am, int64_t* bm, int64_t* pp, int64_t* t1, int64_t* t2);
int32_t main(void);
int64_t pdeg_ptr_i64_i64(int64_t* p, int64_t b) {
int64_t i = 13;
while (i >= 0) {
if (p[(b + i)] != 0) {
int64_t w = p[(b + i)];
int64_t d = 0;
while (w > 1) {
w = FLOW_CHECKED_DIV((w), (2));
d = (d + 1);
}
return ((i * 32) + d);
}
i = (i - 1);
}
return (-1);
}
void pclear_ptr_i64_i64(int64_t* p, int64_t b) {
int32_t __flow_step_1 = 1;
for (int32_t i = 0; (0 <= 14) ? i < 14 : i > 14; i += (0 <= 14) ? 1 : -1) {
p[(b + i)] = 0;
}
}
void pcopy_ptr_i64_i64_ptr_i64_i64(int64_t* d, int64_t db, int64_t* s, int64_t sb) {
int32_t __flow_step_2 = 1;
for (int32_t i = 0; (0 <= 14) ? i < 14 : i > 14; i += (0 <= 14) ? 1 : -1) {
d[(db + i)] = s[(sb + i)];
}
}
void pxorinto_ptr_i64_i64_ptr_i64_i64(int64_t* d, int64_t db, int64_t* s, int64_t sb) {
int32_t __flow_step_3 = 1;
for (int32_t i = 0; (0 <= 14) ? i < 14 : i > 14; i += (0 <= 14) ? 1 : -1) {
d[(db + i)] = (d[(db + i)] ^ s[(sb + i)]);
}
}
int64_t pbit_ptr_i64_i64_i64(int64_t* p, int64_t b, int64_t i) {
return (FLOW_CHECKED_SHR((p[(b + FLOW_CHECKED_DIV((i), (32)))]), (FLOW_CHECKED_MOD((i), (32)))) & 1);
}
void pxshift_ptr_i64_i64_ptr_i64_i64_i64(int64_t* a, int64_t ab, int64_t* m, int64_t mb, int64_t s) {
int64_t wo = FLOW_CHECKED_DIV((s), (32));
int64_t bo = FLOW_CHECKED_MOD((s), (32));
int64_t mask = 4294967295;
int32_t __flow_step_4 = 1;
for (int32_t j = 0; (0 <= 14) ? j < 14 : j > 14; j += (0 <= 14) ? 1 : -1) {
int64_t w = m[(mb + j)];
if (w != 0) {
int64_t k = (wo + j);
if (k < 14) {
a[(ab + k)] = (a[(ab + k)] ^ (FLOW_CHECKED_SHL((w), (bo)) & mask));
}
int64_t hi = FLOW_CHECKED_SHR((w), ((32 - bo)));
if ((hi != 0 && (k + 1) < 14)) {
a[((ab + k) + 1)] = (a[((ab + k) + 1)] ^ hi);
}
}
}
}
void pmul_ptr_i64_i64_ptr_i64_i64_ptr_i64_i64(int64_t* r, int64_t rb, int64_t* a, int64_t ab, int64_t* c, int64_t cb) {
pclear_ptr_i64_i64(r, rb);
int64_t da = pdeg_ptr_i64_i64(a, ab);
int64_t i = 0;
while (i <= da) {
if (pbit_ptr_i64_i64_i64(a, ab, i) == 1) {
pxshift_ptr_i64_i64_ptr_i64_i64_i64(r, rb, c, cb, i);
}
i = (i + 1);
}
}
void pred_ptr_i64_i64_ptr_i64_i64(int64_t* a, int64_t ab, int64_t* m, int64_t mb) {
int64_t dm = pdeg_ptr_i64_i64(m, mb);
int64_t da = pdeg_ptr_i64_i64(a, ab);
while (da >= dm) {
pxshift_ptr_i64_i64_ptr_i64_i64_i64(a, ab, m, mb, (da - dm));
da = pdeg_ptr_i64_i64(a, ab);
}
}
int64_t pgcddeg_ptr_i64_ptr_i64(int64_t* a, int64_t* b) {
int64_t* x = (int64_t*)(a);
int64_t* y = (int64_t*)(b);
while (pdeg_ptr_i64_i64(y, 0) >= 0) {
pred_ptr_i64_i64_ptr_i64_i64(x, 0, y, 0);
int64_t* t = (int64_t*)(x);
x = y;
y = t;
}
return pdeg_ptr_i64_i64(x, 0);
}
int64_t powmod2_i64_i64(int64_t e, int64_t md) {
int64_t r = 1;
int64_t bs = 2;
int64_t ee = e;
while (ee > 0) {
if (FLOW_CHECKED_MOD((ee), (2)) == 1) {
r = FLOW_CHECKED_MOD(((r * bs)), (md));
}
bs = FLOW_CHECKED_MOD(((bs * bs)), (md));
ee = FLOW_CHECKED_DIV((ee), (2));
}
return r;
}
void matmul_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64(int64_t* cm, int64_t* am, int64_t* bm, int64_t* pp, int64_t* t1, int64_t* t2) {
int32_t __flow_step_5 = 1;
for (int32_t e = 0; (0 <= 4) ? e < 4 : e > 4; e += (0 <= 4) ? 1 : -1) {
int64_t i = FLOW_CHECKED_DIV((e), (2));
int64_t j = FLOW_CHECKED_MOD((e), (2));
pmul_ptr_i64_i64_ptr_i64_i64_ptr_i64_i64(t1, 0, am, ((2 * i) * 14), bm, (j * 14));
pmul_ptr_i64_i64_ptr_i64_i64_ptr_i64_i64(t2, 0, am, (((2 * i) + 1) * 14), bm, ((2 + j) * 14));
pxorinto_ptr_i64_i64_ptr_i64_i64(t1, 0, t2, 0);
pred_ptr_i64_i64_ptr_i64_i64(t1, 0, pp, 0);
pcopy_ptr_i64_i64_ptr_i64_i64(cm, (e * 14), t1, 0);
}
}
int32_t main(void) {
int64_t md = 1000000007;
int64_t q = 1000000006;
int64_t w = 199;
int64_t* pa = (int64_t*)(calloc(14, 8));
int64_t* pb = (int64_t*)(calloc(14, 8));
int64_t* pt = (int64_t*)(calloc(14, 8));
int64_t* t1 = (int64_t*)(calloc(14, 8));
int64_t* t2 = (int64_t*)(calloc(14, 8));
int64_t* ga = (int64_t*)(calloc(14, 8));
int64_t* gb = (int64_t*)(calloc(14, 8));
int64_t* ma = (int64_t*)(calloc(56, 8));
int64_t* mb = (int64_t*)(calloc(56, 8));
int64_t* mc = (int64_t*)(calloc(56, 8));
pa[0] = 1;
pb[0] = 2;
int64_t k = 2;
while (k <= w) {
pclear_ptr_i64_i64(pt, 0);
pxshift_ptr_i64_i64_ptr_i64_i64_i64(pt, 0, pb, 0, 1);
pxorinto_ptr_i64_i64_ptr_i64_i64(pt, 0, pa, 0);
int64_t* tp = (int64_t*)(pa);
pa = pb;
pb = pt;
pt = tp;
k = (k + 1);
}
ma[0] = 3;
ma[14] = 1;
ma[28] = 1;
pcopy_ptr_i64_i64_ptr_i64_i64(mb, 0, ma, 0);
pcopy_ptr_i64_i64_ptr_i64_i64(mb, 14, ma, 14);
pcopy_ptr_i64_i64_ptr_i64_i64(mb, 28, ma, 28);
pcopy_ptr_i64_i64_ptr_i64_i64(mb, 42, ma, 42);
pcopy_ptr_i64_i64_ptr_i64_i64(ga, 0, pb, 0);
pclear_ptr_i64_i64(gb, 0);
gb[0] = 3;
int64_t d12 = pgcddeg_ptr_i64_ptr_i64(ga, gb);
int64_t e12 = FLOW_CHECKED_MOD(((FLOW_CHECKED_MOD((((w * 1) - d12)), (q)) + q)), (q));
int64_t total = FLOW_CHECKED_MOD(((2 * powmod2_i64_i64(e12, md))), (md));
int64_t fib1 = 1;
int64_t fib2 = 1;
k = 3;
while (k <= 199) {
matmul_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64_ptr_i64(mc, ma, mb, pb, t1, t2);
int64_t fm = FLOW_CHECKED_MOD(((fib1 + fib2)), (q));
int64_t* tm = (int64_t*)(mb);
mb = ma;
ma = mc;
mc = tm;
fib2 = fib1;
fib1 = fm;
pcopy_ptr_i64_i64_ptr_i64_i64(ga, 0, pb, 0);
pcopy_ptr_i64_i64_ptr_i64_i64(gb, 0, ma, 0);
int64_t d = pgcddeg_ptr_i64_ptr_i64(ga, gb);
int64_t e = FLOW_CHECKED_MOD(((FLOW_CHECKED_MOD((((w * fm) - d)), (q)) + q)), (q));
total = FLOW_CHECKED_MOD(((total + powmod2_i64_i64(e, md))), (md));
k = (k + 1);
}
printf("%lld\n", total);
return 0;
}
Generated MLIR
module {
llvm.func @printf(!llvm.ptr, ...) -> i32
llvm.mlir.global internal constant @str_0("%lld\n\00") {addr_space = 0 : i32} : !llvm.array<6 x i8>
func.func private @calloc(i64, i64) -> !llvm.ptr
func.func private @free(!llvm.ptr) -> ()
func.func @pdeg(%arg0: !llvm.ptr, %arg1: i64) -> i64 {
%0 = arith.constant 13 : i32
%1 = arith.extsi %0 : i32 to i64
%2 = llvm.mlir.constant(1 : i64) : i64
%3 = llvm.alloca %2 x i64 : (i64) -> !llvm.ptr
llvm.store %1, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb0:
%4 = llvm.load %3 : !llvm.ptr -> i64
%5 = arith.constant 0 : i32
%7 = arith.extsi %5 : i32 to i64
%6 = arith.cmpi sge, %4, %7 : i64
cf.cond_br %6, ^bb1, ^bb2
^bb1:
%9 = llvm.load %3 : !llvm.ptr -> i64
%10 = arith.addi %arg1, %9 : i64
%11 = llvm.getelementptr %arg0[%10] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%8 = llvm.load %11 : !llvm.ptr -> i64
%12 = arith.constant 0 : i32
%14 = arith.extsi %12 : i32 to i64
%13 = arith.cmpi ne, %8, %14 : i64
cf.cond_br %13, ^bb3, ^bb4
^bb3:
%16 = llvm.load %3 : !llvm.ptr -> i64
%17 = arith.addi %arg1, %16 : i64
%18 = llvm.getelementptr %arg0[%17] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%15 = llvm.load %18 : !llvm.ptr -> i64
%19 = llvm.mlir.constant(1 : i64) : i64
%20 = llvm.alloca %19 x i64 : (i64) -> !llvm.ptr
llvm.store %15, %20 : i64, !llvm.ptr
%21 = arith.constant 0 : i32
%22 = arith.extsi %21 : i32 to i64
%23 = llvm.mlir.constant(1 : i64) : i64
%24 = llvm.alloca %23 x i64 : (i64) -> !llvm.ptr
llvm.store %22, %24 : i64, !llvm.ptr
cf.br ^bb6
^bb6:
%25 = llvm.load %20 : !llvm.ptr -> i64
%26 = arith.constant 1 : i32
%28 = arith.extsi %26 : i32 to i64
%27 = arith.cmpi sgt, %25, %28 : i64
cf.cond_br %27, ^bb7, ^bb8
^bb7:
%29 = llvm.load %20 : !llvm.ptr -> i64
%30 = arith.constant 2 : i32
%32 = arith.extsi %30 : i32 to i64
%31 = arith.divsi %29, %32 : i64
llvm.store %31, %20 : i64, !llvm.ptr
%33 = llvm.load %24 : !llvm.ptr -> i64
%34 = arith.constant 1 : i32
%36 = arith.extsi %34 : i32 to i64
%35 = arith.addi %33, %36 : i64
llvm.store %35, %24 : i64, !llvm.ptr
cf.br ^bb6
^bb8:
%37 = llvm.load %3 : !llvm.ptr -> i64
%38 = arith.constant 32 : i32
%40 = arith.extsi %38 : i32 to i64
%39 = arith.muli %37, %40 : i64
%41 = llvm.load %24 : !llvm.ptr -> i64
%42 = arith.addi %39, %41 : i64
func.return %42 : i64
^bb4:
cf.br ^bb5
^bb5:
%43 = llvm.load %3 : !llvm.ptr -> i64
%44 = arith.constant 1 : i32
%46 = arith.extsi %44 : i32 to i64
%45 = arith.subi %43, %46 : i64
llvm.store %45, %3 : i64, !llvm.ptr
cf.br ^bb0
^bb2:
%47 = arith.constant 1 : i32
%49 = arith.constant 0 : i32
%48 = arith.subi %49, %47 : i32
%50 = arith.extsi %48 : i32 to i64
func.return %50 : i64
}
func.func @pclear(%arg0: !llvm.ptr, %arg1: i64) -> () {
%51 = arith.constant 0 : i32
%52 = arith.constant 14 : i32
%53 = arith.index_cast %51 : i32 to index
%54 = arith.index_cast %52 : i32 to index
%56 = arith.constant 1 : index
%57 = arith.constant -1 : index
%58 = arith.cmpi sle, %53, %54 : index
%55 = arith.select %58, %56, %57 : index
cf.br ^bb9(%53 : index)
^bb9(%59: index):
%60 = arith.cmpi slt, %59, %54 : index
%61 = arith.cmpi sgt, %59, %54 : index
%62 = arith.select %58, %60, %61 : i1
cf.cond_br %62, ^bb10(%59 : index), ^bb11(%59 : index)
^bb10(%63: index):
%64 = arith.constant 0 : i32
%66 = arith.trunci %arg1 : i64 to i32
%67 = arith.index_cast %63 : index to i32
%65 = arith.addi %66, %67 : i32
%68 = arith.extsi %64 : i32 to i64
%69 = arith.extsi %65 : i32 to i64
%70 = llvm.getelementptr %arg0[%69] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %68, %70 : i64, !llvm.ptr
%71 = arith.addi %63, %55 : index
cf.br ^bb9(%71 : index)
^bb11(%72: index):
func.return
}
func.func @pcopy(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64) -> () {
%73 = arith.constant 0 : i32
%74 = arith.constant 14 : i32
%75 = arith.index_cast %73 : i32 to index
%76 = arith.index_cast %74 : i32 to index
%78 = arith.constant 1 : index
%79 = arith.constant -1 : index
%80 = arith.cmpi sle, %75, %76 : index
%77 = arith.select %80, %78, %79 : index
cf.br ^bb12(%75 : index)
^bb12(%81: index):
%82 = arith.cmpi slt, %81, %76 : index
%83 = arith.cmpi sgt, %81, %76 : index
%84 = arith.select %80, %82, %83 : i1
cf.cond_br %84, ^bb13(%81 : index), ^bb14(%81 : index)
^bb13(%85: index):
%88 = arith.trunci %arg3 : i64 to i32
%89 = arith.index_cast %85 : index to i32
%87 = arith.addi %88, %89 : i32
%90 = arith.extsi %87 : i32 to i64
%91 = llvm.getelementptr %arg2[%90] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%86 = llvm.load %91 : !llvm.ptr -> i64
%93 = arith.trunci %arg1 : i64 to i32
%94 = arith.index_cast %85 : index to i32
%92 = arith.addi %93, %94 : i32
%95 = arith.extsi %92 : i32 to i64
%96 = llvm.getelementptr %arg0[%95] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %86, %96 : i64, !llvm.ptr
%97 = arith.addi %85, %77 : index
cf.br ^bb12(%97 : index)
^bb14(%98: index):
func.return
}
func.func @pxorinto(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64) -> () {
%99 = arith.constant 0 : i32
%100 = arith.constant 14 : i32
%101 = arith.index_cast %99 : i32 to index
%102 = arith.index_cast %100 : i32 to index
%104 = arith.constant 1 : index
%105 = arith.constant -1 : index
%106 = arith.cmpi sle, %101, %102 : index
%103 = arith.select %106, %104, %105 : index
cf.br ^bb15(%101 : index)
^bb15(%107: index):
%108 = arith.cmpi slt, %107, %102 : index
%109 = arith.cmpi sgt, %107, %102 : index
%110 = arith.select %106, %108, %109 : i1
cf.cond_br %110, ^bb16(%107 : index), ^bb17(%107 : index)
^bb16(%111: index):
%114 = arith.trunci %arg1 : i64 to i32
%115 = arith.index_cast %111 : index to i32
%113 = arith.addi %114, %115 : i32
%116 = arith.extsi %113 : i32 to i64
%117 = llvm.getelementptr %arg0[%116] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%112 = llvm.load %117 : !llvm.ptr -> i64
%120 = arith.trunci %arg3 : i64 to i32
%121 = arith.index_cast %111 : index to i32
%119 = arith.addi %120, %121 : i32
%122 = arith.extsi %119 : i32 to i64
%123 = llvm.getelementptr %arg2[%122] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%118 = llvm.load %123 : !llvm.ptr -> i64
%124 = arith.xori %112, %118 : i64
%126 = arith.trunci %arg1 : i64 to i32
%127 = arith.index_cast %111 : index to i32
%125 = arith.addi %126, %127 : i32
%128 = arith.extsi %125 : i32 to i64
%129 = llvm.getelementptr %arg0[%128] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %124, %129 : i64, !llvm.ptr
%130 = arith.addi %111, %103 : index
cf.br ^bb15(%130 : index)
^bb17(%131: index):
func.return
}
func.func @pbit(%arg0: !llvm.ptr, %arg1: i64, %arg2: i64) -> i64 {
%133 = arith.constant 32 : i32
%135 = arith.extsi %133 : i32 to i64
%134 = arith.divsi %arg2, %135 : i64
%136 = arith.addi %arg1, %134 : i64
%137 = llvm.getelementptr %arg0[%136] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%132 = llvm.load %137 : !llvm.ptr -> i64
%138 = arith.constant 32 : i32
%140 = arith.extsi %138 : i32 to i64
%139 = arith.remsi %arg2, %140 : i64
%141 = arith.shrsi %132, %139 : i64
%142 = arith.constant 1 : i32
%144 = arith.extsi %142 : i32 to i64
%143 = arith.andi %141, %144 : i64
func.return %143 : i64
}
func.func @pxshift(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64, %arg4: i64) -> () {
%145 = arith.constant 32 : i32
%147 = arith.extsi %145 : i32 to i64
%146 = arith.divsi %arg4, %147 : i64
%148 = arith.constant 32 : i32
%150 = arith.extsi %148 : i32 to i64
%149 = arith.remsi %arg4, %150 : i64
%151 = arith.constant -1 : i32
%152 = arith.extsi %151 : i32 to i64
%153 = arith.constant 0 : i32
%154 = arith.constant 14 : i32
%155 = arith.index_cast %153 : i32 to index
%156 = arith.index_cast %154 : i32 to index
%158 = arith.constant 1 : index
%159 = arith.constant -1 : index
%160 = arith.cmpi sle, %155, %156 : index
%157 = arith.select %160, %158, %159 : index
cf.br ^bb18(%155 : index)
^bb18(%161: index):
%162 = arith.cmpi slt, %161, %156 : index
%163 = arith.cmpi sgt, %161, %156 : index
%164 = arith.select %160, %162, %163 : i1
cf.cond_br %164, ^bb19(%161 : index), ^bb20(%161 : index)
^bb19(%165: index):
%168 = arith.trunci %arg3 : i64 to i32
%169 = arith.index_cast %165 : index to i32
%167 = arith.addi %168, %169 : i32
%170 = arith.extsi %167 : i32 to i64
%171 = llvm.getelementptr %arg2[%170] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%166 = llvm.load %171 : !llvm.ptr -> i64
%172 = arith.constant 0 : i32
%174 = arith.extsi %172 : i32 to i64
%173 = arith.cmpi ne, %166, %174 : i64
cf.cond_br %173, ^bb21, ^bb22
^bb21:
%176 = arith.trunci %146 : i64 to i32
%177 = arith.index_cast %165 : index to i32
%175 = arith.addi %176, %177 : i32
%178 = arith.extsi %175 : i32 to i64
%179 = arith.constant 14 : i32
%181 = arith.extsi %179 : i32 to i64
%180 = arith.cmpi slt, %178, %181 : i64
cf.cond_br %180, ^bb24, ^bb25
^bb24:
%183 = arith.addi %arg1, %178 : i64
%184 = llvm.getelementptr %arg0[%183] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%182 = llvm.load %184 : !llvm.ptr -> i64
%185 = arith.shli %166, %149 : i64
%186 = arith.andi %185, %152 : i64
%187 = arith.xori %182, %186 : i64
%188 = arith.addi %arg1, %178 : i64
%189 = llvm.getelementptr %arg0[%188] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %187, %189 : i64, !llvm.ptr
cf.br ^bb26
^bb25:
cf.br ^bb26
^bb26:
%190 = arith.constant 32 : i32
%192 = arith.extsi %190 : i32 to i64
%191 = arith.subi %192, %149 : i64
%193 = arith.shrsi %166, %191 : i64
%194 = arith.constant 0 : i32
%196 = arith.extsi %194 : i32 to i64
%195 = arith.cmpi ne, %193, %196 : i64
%197 = scf.if %195 -> (i1) {
%198 = arith.constant 1 : i32
%200 = arith.extsi %198 : i32 to i64
%199 = arith.addi %178, %200 : i64
%201 = arith.constant 14 : i32
%203 = arith.extsi %201 : i32 to i64
%202 = arith.cmpi slt, %199, %203 : i64
scf.yield %202 : i1
} else {
%204 = arith.constant false
scf.yield %204 : i1
}
cf.cond_br %197, ^bb27, ^bb28
^bb27:
%206 = arith.addi %arg1, %178 : i64
%207 = arith.constant 1 : i32
%209 = arith.extsi %207 : i32 to i64
%208 = arith.addi %206, %209 : i64
%210 = llvm.getelementptr %arg0[%208] : (!llvm.ptr, i64) -> !llvm.ptr, i64
%205 = llvm.load %210 : !llvm.ptr -> i64
%211 = arith.xori %205, %193 : i64
%212 = arith.addi %arg1, %178 : i64
%213 = arith.constant 1 : i32
%215 = arith.extsi %213 : i32 to i64
%214 = arith.addi %212, %215 : i64
%216 = llvm.getelementptr %arg0[%214] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %211, %216 : i64, !llvm.ptr
cf.br ^bb29
^bb28:
cf.br ^bb29
^bb29:
cf.br ^bb23
^bb22:
cf.br ^bb23
^bb23:
%217 = arith.addi %165, %157 : index
cf.br ^bb18(%217 : index)
^bb20(%218: index):
func.return
}
func.func @pmul(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64, %arg4: !llvm.ptr, %arg5: i64) -> () {
func.call @pclear(%arg0, %arg1) : (!llvm.ptr, i64) -> ()
%220 = func.call @pdeg(%arg2, %arg3) : (!llvm.ptr, i64) -> i64
%221 = arith.constant 0 : i32
%222 = arith.extsi %221 : i32 to i64
%223 = llvm.mlir.constant(1 : i64) : i64
%224 = llvm.alloca %223 x i64 : (i64) -> !llvm.ptr
llvm.store %222, %224 : i64, !llvm.ptr
cf.br ^bb30
^bb30:
%225 = llvm.load %224 : !llvm.ptr -> i64
%226 = arith.cmpi sle, %225, %220 : i64
cf.cond_br %226, ^bb31, ^bb32
^bb31:
%228 = llvm.load %224 : !llvm.ptr -> i64
%227 = func.call @pbit(%arg2, %arg3, %228) : (!llvm.ptr, i64, i64) -> i64
%229 = arith.constant 1 : i32
%231 = arith.extsi %229 : i32 to i64
%230 = arith.cmpi eq, %227, %231 : i64
cf.cond_br %230, ^bb33, ^bb34
^bb33:
%233 = llvm.load %224 : !llvm.ptr -> i64
func.call @pxshift(%arg0, %arg1, %arg4, %arg5, %233) : (!llvm.ptr, i64, !llvm.ptr, i64, i64) -> ()
cf.br ^bb35
^bb34:
cf.br ^bb35
^bb35:
%234 = llvm.load %224 : !llvm.ptr -> i64
%235 = arith.constant 1 : i32
%237 = arith.extsi %235 : i32 to i64
%236 = arith.addi %234, %237 : i64
llvm.store %236, %224 : i64, !llvm.ptr
cf.br ^bb30
^bb32:
func.return
}
func.func @pred(%arg0: !llvm.ptr, %arg1: i64, %arg2: !llvm.ptr, %arg3: i64) -> () {
%238 = func.call @pdeg(%arg2, %arg3) : (!llvm.ptr, i64) -> i64
%239 = func.call @pdeg(%arg0, %arg1) : (!llvm.ptr, i64) -> i64
%240 = llvm.mlir.constant(1 : i64) : i64
%241 = llvm.alloca %240 x i64 : (i64) -> !llvm.ptr
llvm.store %239, %241 : i64, !llvm.ptr
cf.br ^bb36
^bb36:
%242 = llvm.load %241 : !llvm.ptr -> i64
%243 = arith.cmpi sge, %242, %238 : i64
cf.cond_br %243, ^bb37, ^bb38
^bb37:
%245 = llvm.load %241 : !llvm.ptr -> i64
%246 = arith.subi %245, %238 : i64
func.call @pxshift(%arg0, %arg1, %arg2, %arg3, %246) : (!llvm.ptr, i64, !llvm.ptr, i64, i64) -> ()
%247 = func.call @pdeg(%arg0, %arg1) : (!llvm.ptr, i64) -> i64
llvm.store %247, %241 : i64, !llvm.ptr
cf.br ^bb36
^bb38:
func.return
}
func.func @pgcddeg(%arg0: !llvm.ptr, %arg1: !llvm.ptr) -> i64 {
%248 = llvm.mlir.constant(1 : i64) : i64
%249 = llvm.alloca %248 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %arg0, %249 : !llvm.ptr, !llvm.ptr
%250 = llvm.mlir.constant(1 : i64) : i64
%251 = llvm.alloca %250 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %arg1, %251 : !llvm.ptr, !llvm.ptr
cf.br ^bb39
^bb39:
%253 = llvm.load %251 : !llvm.ptr -> !llvm.ptr
%254 = arith.constant 0 : i32
%255 = arith.extsi %254 : i32 to i64
%252 = func.call @pdeg(%253, %255) : (!llvm.ptr, i64) -> i64
%256 = arith.constant 0 : i32
%258 = arith.extsi %256 : i32 to i64
%257 = arith.cmpi sge, %252, %258 : i64
cf.cond_br %257, ^bb40, ^bb41
^bb40:
%260 = llvm.load %249 : !llvm.ptr -> !llvm.ptr
%261 = arith.constant 0 : i32
%262 = llvm.load %251 : !llvm.ptr -> !llvm.ptr
%263 = arith.constant 0 : i32
%264 = arith.extsi %261 : i32 to i64
%265 = arith.extsi %263 : i32 to i64
func.call @pred(%260, %264, %262, %265) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%266 = llvm.load %249 : !llvm.ptr -> !llvm.ptr
%267 = llvm.load %251 : !llvm.ptr -> !llvm.ptr
llvm.store %267, %249 : !llvm.ptr, !llvm.ptr
llvm.store %266, %251 : !llvm.ptr, !llvm.ptr
cf.br ^bb39
^bb41:
%269 = llvm.load %249 : !llvm.ptr -> !llvm.ptr
%270 = arith.constant 0 : i32
%271 = arith.extsi %270 : i32 to i64
%268 = func.call @pdeg(%269, %271) : (!llvm.ptr, i64) -> i64
func.return %268 : i64
}
func.func @powmod2(%arg0: i64, %arg1: i64) -> i64 {
%272 = arith.constant 1 : i32
%273 = arith.extsi %272 : i32 to i64
%274 = llvm.mlir.constant(1 : i64) : i64
%275 = llvm.alloca %274 x i64 : (i64) -> !llvm.ptr
llvm.store %273, %275 : i64, !llvm.ptr
%276 = arith.constant 2 : i32
%277 = arith.extsi %276 : i32 to i64
%278 = llvm.mlir.constant(1 : i64) : i64
%279 = llvm.alloca %278 x i64 : (i64) -> !llvm.ptr
llvm.store %277, %279 : i64, !llvm.ptr
%280 = llvm.mlir.constant(1 : i64) : i64
%281 = llvm.alloca %280 x i64 : (i64) -> !llvm.ptr
llvm.store %arg0, %281 : i64, !llvm.ptr
cf.br ^bb42
^bb42:
%282 = llvm.load %281 : !llvm.ptr -> i64
%283 = arith.constant 0 : i32
%285 = arith.extsi %283 : i32 to i64
%284 = arith.cmpi sgt, %282, %285 : i64
cf.cond_br %284, ^bb43, ^bb44
^bb43:
%286 = llvm.load %281 : !llvm.ptr -> i64
%287 = arith.constant 2 : i32
%289 = arith.extsi %287 : i32 to i64
%288 = arith.remsi %286, %289 : i64
%290 = arith.constant 1 : i32
%292 = arith.extsi %290 : i32 to i64
%291 = arith.cmpi eq, %288, %292 : i64
cf.cond_br %291, ^bb45, ^bb46
^bb45:
%293 = llvm.load %275 : !llvm.ptr -> i64
%294 = llvm.load %279 : !llvm.ptr -> i64
%295 = arith.muli %293, %294 : i64
%296 = arith.remsi %295, %arg1 : i64
llvm.store %296, %275 : i64, !llvm.ptr
cf.br ^bb47
^bb46:
cf.br ^bb47
^bb47:
%297 = llvm.load %279 : !llvm.ptr -> i64
%298 = llvm.load %279 : !llvm.ptr -> i64
%299 = arith.muli %297, %298 : i64
%300 = arith.remsi %299, %arg1 : i64
llvm.store %300, %279 : i64, !llvm.ptr
%301 = llvm.load %281 : !llvm.ptr -> i64
%302 = arith.constant 2 : i32
%304 = arith.extsi %302 : i32 to i64
%303 = arith.divsi %301, %304 : i64
llvm.store %303, %281 : i64, !llvm.ptr
cf.br ^bb42
^bb44:
%305 = llvm.load %275 : !llvm.ptr -> i64
func.return %305 : i64
}
func.func @matmul(%arg0: !llvm.ptr, %arg1: !llvm.ptr, %arg2: !llvm.ptr, %arg3: !llvm.ptr, %arg4: !llvm.ptr, %arg5: !llvm.ptr) -> () {
%306 = arith.constant 0 : i32
%307 = arith.constant 4 : i32
%308 = arith.index_cast %306 : i32 to index
%309 = arith.index_cast %307 : i32 to index
%311 = arith.constant 1 : index
%312 = arith.constant -1 : index
%313 = arith.cmpi sle, %308, %309 : index
%310 = arith.select %313, %311, %312 : index
cf.br ^bb48(%308 : index)
^bb48(%314: index):
%315 = arith.cmpi slt, %314, %309 : index
%316 = arith.cmpi sgt, %314, %309 : index
%317 = arith.select %313, %315, %316 : i1
cf.cond_br %317, ^bb49(%314 : index), ^bb50(%314 : index)
^bb49(%318: index):
%319 = arith.constant 2 : i32
%321 = arith.index_cast %318 : index to i32
%320 = arith.divsi %321, %319 : i32
%322 = arith.extsi %320 : i32 to i64
%323 = arith.constant 2 : i32
%325 = arith.index_cast %318 : index to i32
%324 = arith.remsi %325, %323 : i32
%326 = arith.extsi %324 : i32 to i64
%328 = arith.constant 0 : i32
%329 = arith.constant 2 : i32
%331 = arith.extsi %329 : i32 to i64
%330 = arith.muli %331, %322 : i64
%332 = arith.constant 14 : i32
%334 = arith.extsi %332 : i32 to i64
%333 = arith.muli %330, %334 : i64
%335 = arith.constant 14 : i32
%337 = arith.extsi %335 : i32 to i64
%336 = arith.muli %326, %337 : i64
%338 = arith.extsi %328 : i32 to i64
func.call @pmul(%arg4, %338, %arg1, %333, %arg2, %336) : (!llvm.ptr, i64, !llvm.ptr, i64, !llvm.ptr, i64) -> ()
%340 = arith.constant 0 : i32
%341 = arith.constant 2 : i32
%343 = arith.extsi %341 : i32 to i64
%342 = arith.muli %343, %322 : i64
%344 = arith.constant 1 : i32
%346 = arith.extsi %344 : i32 to i64
%345 = arith.addi %342, %346 : i64
%347 = arith.constant 14 : i32
%349 = arith.extsi %347 : i32 to i64
%348 = arith.muli %345, %349 : i64
%350 = arith.constant 2 : i32
%352 = arith.extsi %350 : i32 to i64
%351 = arith.addi %352, %326 : i64
%353 = arith.constant 14 : i32
%355 = arith.extsi %353 : i32 to i64
%354 = arith.muli %351, %355 : i64
%356 = arith.extsi %340 : i32 to i64
func.call @pmul(%arg5, %356, %arg1, %348, %arg2, %354) : (!llvm.ptr, i64, !llvm.ptr, i64, !llvm.ptr, i64) -> ()
%358 = arith.constant 0 : i32
%359 = arith.constant 0 : i32
%360 = arith.extsi %358 : i32 to i64
%361 = arith.extsi %359 : i32 to i64
func.call @pxorinto(%arg4, %360, %arg5, %361) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%363 = arith.constant 0 : i32
%364 = arith.constant 0 : i32
%365 = arith.extsi %363 : i32 to i64
%366 = arith.extsi %364 : i32 to i64
func.call @pred(%arg4, %365, %arg3, %366) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%368 = arith.constant 14 : i32
%370 = arith.index_cast %318 : index to i32
%369 = arith.muli %370, %368 : i32
%371 = arith.constant 0 : i32
%372 = arith.extsi %369 : i32 to i64
%373 = arith.extsi %371 : i32 to i64
func.call @pcopy(%arg0, %372, %arg4, %373) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%374 = arith.addi %318, %310 : index
cf.br ^bb48(%374 : index)
^bb50(%375: index):
func.return
}
func.func @main() -> i32 {
%376 = arith.constant 1000000007 : i32
%377 = arith.extsi %376 : i32 to i64
%378 = arith.constant 1000000006 : i32
%379 = arith.extsi %378 : i32 to i64
%380 = arith.constant 199 : i32
%381 = arith.extsi %380 : i32 to i64
%383 = arith.constant 14 : i32
%384 = arith.constant 8 : i32
%385 = arith.extsi %383 : i32 to i64
%386 = arith.extsi %384 : i32 to i64
%382 = func.call @calloc(%385, %386) : (i64, i64) -> !llvm.ptr
%387 = llvm.mlir.constant(1 : i64) : i64
%388 = llvm.alloca %387 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %382, %388 : !llvm.ptr, !llvm.ptr
%390 = arith.constant 14 : i32
%391 = arith.constant 8 : i32
%392 = arith.extsi %390 : i32 to i64
%393 = arith.extsi %391 : i32 to i64
%389 = func.call @calloc(%392, %393) : (i64, i64) -> !llvm.ptr
%394 = llvm.mlir.constant(1 : i64) : i64
%395 = llvm.alloca %394 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %389, %395 : !llvm.ptr, !llvm.ptr
%397 = arith.constant 14 : i32
%398 = arith.constant 8 : i32
%399 = arith.extsi %397 : i32 to i64
%400 = arith.extsi %398 : i32 to i64
%396 = func.call @calloc(%399, %400) : (i64, i64) -> !llvm.ptr
%401 = llvm.mlir.constant(1 : i64) : i64
%402 = llvm.alloca %401 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %396, %402 : !llvm.ptr, !llvm.ptr
%404 = arith.constant 14 : i32
%405 = arith.constant 8 : i32
%406 = arith.extsi %404 : i32 to i64
%407 = arith.extsi %405 : i32 to i64
%403 = func.call @calloc(%406, %407) : (i64, i64) -> !llvm.ptr
%409 = arith.constant 14 : i32
%410 = arith.constant 8 : i32
%411 = arith.extsi %409 : i32 to i64
%412 = arith.extsi %410 : i32 to i64
%408 = func.call @calloc(%411, %412) : (i64, i64) -> !llvm.ptr
%414 = arith.constant 14 : i32
%415 = arith.constant 8 : i32
%416 = arith.extsi %414 : i32 to i64
%417 = arith.extsi %415 : i32 to i64
%413 = func.call @calloc(%416, %417) : (i64, i64) -> !llvm.ptr
%419 = arith.constant 14 : i32
%420 = arith.constant 8 : i32
%421 = arith.extsi %419 : i32 to i64
%422 = arith.extsi %420 : i32 to i64
%418 = func.call @calloc(%421, %422) : (i64, i64) -> !llvm.ptr
%424 = arith.constant 56 : i32
%425 = arith.constant 8 : i32
%426 = arith.extsi %424 : i32 to i64
%427 = arith.extsi %425 : i32 to i64
%423 = func.call @calloc(%426, %427) : (i64, i64) -> !llvm.ptr
%428 = llvm.mlir.constant(1 : i64) : i64
%429 = llvm.alloca %428 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %423, %429 : !llvm.ptr, !llvm.ptr
%431 = arith.constant 56 : i32
%432 = arith.constant 8 : i32
%433 = arith.extsi %431 : i32 to i64
%434 = arith.extsi %432 : i32 to i64
%430 = func.call @calloc(%433, %434) : (i64, i64) -> !llvm.ptr
%435 = llvm.mlir.constant(1 : i64) : i64
%436 = llvm.alloca %435 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %430, %436 : !llvm.ptr, !llvm.ptr
%438 = arith.constant 56 : i32
%439 = arith.constant 8 : i32
%440 = arith.extsi %438 : i32 to i64
%441 = arith.extsi %439 : i32 to i64
%437 = func.call @calloc(%440, %441) : (i64, i64) -> !llvm.ptr
%442 = llvm.mlir.constant(1 : i64) : i64
%443 = llvm.alloca %442 x !llvm.ptr : (i64) -> !llvm.ptr
llvm.store %437, %443 : !llvm.ptr, !llvm.ptr
%444 = arith.constant 1 : i32
%445 = llvm.load %388 : !llvm.ptr -> !llvm.ptr
%446 = arith.constant 0 : i32
%447 = arith.extsi %444 : i32 to i64
%448 = arith.extsi %446 : i32 to i64
%449 = llvm.getelementptr %445[%448] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %447, %449 : i64, !llvm.ptr
%450 = arith.constant 2 : i32
%451 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
%452 = arith.constant 0 : i32
%453 = arith.extsi %450 : i32 to i64
%454 = arith.extsi %452 : i32 to i64
%455 = llvm.getelementptr %451[%454] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %453, %455 : i64, !llvm.ptr
%456 = arith.constant 2 : i32
%457 = arith.extsi %456 : i32 to i64
%458 = llvm.mlir.constant(1 : i64) : i64
%459 = llvm.alloca %458 x i64 : (i64) -> !llvm.ptr
llvm.store %457, %459 : i64, !llvm.ptr
cf.br ^bb51
^bb51:
%460 = llvm.load %459 : !llvm.ptr -> i64
%461 = arith.cmpi sle, %460, %381 : i64
cf.cond_br %461, ^bb52, ^bb53
^bb52:
%463 = llvm.load %402 : !llvm.ptr -> !llvm.ptr
%464 = arith.constant 0 : i32
%465 = arith.extsi %464 : i32 to i64
func.call @pclear(%463, %465) : (!llvm.ptr, i64) -> ()
%467 = llvm.load %402 : !llvm.ptr -> !llvm.ptr
%468 = arith.constant 0 : i32
%469 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
%470 = arith.constant 0 : i32
%471 = arith.constant 1 : i32
%472 = arith.extsi %468 : i32 to i64
%473 = arith.extsi %470 : i32 to i64
%474 = arith.extsi %471 : i32 to i64
func.call @pxshift(%467, %472, %469, %473, %474) : (!llvm.ptr, i64, !llvm.ptr, i64, i64) -> ()
%476 = llvm.load %402 : !llvm.ptr -> !llvm.ptr
%477 = arith.constant 0 : i32
%478 = llvm.load %388 : !llvm.ptr -> !llvm.ptr
%479 = arith.constant 0 : i32
%480 = arith.extsi %477 : i32 to i64
%481 = arith.extsi %479 : i32 to i64
func.call @pxorinto(%476, %480, %478, %481) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%482 = llvm.load %388 : !llvm.ptr -> !llvm.ptr
%483 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
llvm.store %483, %388 : !llvm.ptr, !llvm.ptr
%484 = llvm.load %402 : !llvm.ptr -> !llvm.ptr
llvm.store %484, %395 : !llvm.ptr, !llvm.ptr
llvm.store %482, %402 : !llvm.ptr, !llvm.ptr
%485 = llvm.load %459 : !llvm.ptr -> i64
%486 = arith.constant 1 : i32
%488 = arith.extsi %486 : i32 to i64
%487 = arith.addi %485, %488 : i64
llvm.store %487, %459 : i64, !llvm.ptr
cf.br ^bb51
^bb53:
%489 = arith.constant 3 : i32
%490 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%491 = arith.constant 0 : i32
%492 = arith.extsi %489 : i32 to i64
%493 = arith.extsi %491 : i32 to i64
%494 = llvm.getelementptr %490[%493] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %492, %494 : i64, !llvm.ptr
%495 = arith.constant 1 : i32
%496 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%497 = arith.constant 14 : i32
%498 = arith.extsi %495 : i32 to i64
%499 = arith.extsi %497 : i32 to i64
%500 = llvm.getelementptr %496[%499] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %498, %500 : i64, !llvm.ptr
%501 = arith.constant 1 : i32
%502 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%503 = arith.constant 28 : i32
%504 = arith.extsi %501 : i32 to i64
%505 = arith.extsi %503 : i32 to i64
%506 = llvm.getelementptr %502[%505] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %504, %506 : i64, !llvm.ptr
%508 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%509 = arith.constant 0 : i32
%510 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%511 = arith.constant 0 : i32
%512 = arith.extsi %509 : i32 to i64
%513 = arith.extsi %511 : i32 to i64
func.call @pcopy(%508, %512, %510, %513) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%515 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%516 = arith.constant 14 : i32
%517 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%518 = arith.constant 14 : i32
%519 = arith.extsi %516 : i32 to i64
%520 = arith.extsi %518 : i32 to i64
func.call @pcopy(%515, %519, %517, %520) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%522 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%523 = arith.constant 28 : i32
%524 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%525 = arith.constant 28 : i32
%526 = arith.extsi %523 : i32 to i64
%527 = arith.extsi %525 : i32 to i64
func.call @pcopy(%522, %526, %524, %527) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%529 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%530 = arith.constant 42 : i32
%531 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%532 = arith.constant 42 : i32
%533 = arith.extsi %530 : i32 to i64
%534 = arith.extsi %532 : i32 to i64
func.call @pcopy(%529, %533, %531, %534) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%536 = arith.constant 0 : i32
%537 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
%538 = arith.constant 0 : i32
%539 = arith.extsi %536 : i32 to i64
%540 = arith.extsi %538 : i32 to i64
func.call @pcopy(%413, %539, %537, %540) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%542 = arith.constant 0 : i32
%543 = arith.extsi %542 : i32 to i64
func.call @pclear(%418, %543) : (!llvm.ptr, i64) -> ()
%544 = arith.constant 3 : i32
%545 = arith.constant 0 : i32
%546 = arith.extsi %544 : i32 to i64
%547 = arith.extsi %545 : i32 to i64
%548 = llvm.getelementptr %418[%547] : (!llvm.ptr, i64) -> !llvm.ptr, i64
llvm.store %546, %548 : i64, !llvm.ptr
%549 = func.call @pgcddeg(%413, %418) : (!llvm.ptr, !llvm.ptr) -> i64
%550 = arith.constant 1 : i32
%552 = arith.extsi %550 : i32 to i64
%551 = arith.muli %381, %552 : i64
%553 = arith.subi %551, %549 : i64
%554 = arith.remsi %553, %379 : i64
%555 = arith.addi %554, %379 : i64
%556 = arith.remsi %555, %379 : i64
%557 = arith.constant 2 : i32
%558 = func.call @powmod2(%556, %377) : (i64, i64) -> i64
%560 = arith.extsi %557 : i32 to i64
%559 = arith.muli %560, %558 : i64
%561 = arith.remsi %559, %377 : i64
%562 = llvm.mlir.constant(1 : i64) : i64
%563 = llvm.alloca %562 x i64 : (i64) -> !llvm.ptr
llvm.store %561, %563 : i64, !llvm.ptr
%564 = arith.constant 1 : i32
%565 = arith.extsi %564 : i32 to i64
%566 = llvm.mlir.constant(1 : i64) : i64
%567 = llvm.alloca %566 x i64 : (i64) -> !llvm.ptr
llvm.store %565, %567 : i64, !llvm.ptr
%568 = arith.constant 1 : i32
%569 = arith.extsi %568 : i32 to i64
%570 = llvm.mlir.constant(1 : i64) : i64
%571 = llvm.alloca %570 x i64 : (i64) -> !llvm.ptr
llvm.store %569, %571 : i64, !llvm.ptr
%572 = arith.constant 3 : i32
%573 = arith.extsi %572 : i32 to i64
llvm.store %573, %459 : i64, !llvm.ptr
cf.br ^bb54
^bb54:
%574 = llvm.load %459 : !llvm.ptr -> i64
%575 = arith.constant 199 : i32
%577 = arith.extsi %575 : i32 to i64
%576 = arith.cmpi sle, %574, %577 : i64
cf.cond_br %576, ^bb55, ^bb56
^bb55:
%579 = llvm.load %443 : !llvm.ptr -> !llvm.ptr
%580 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%581 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%582 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
func.call @matmul(%579, %580, %581, %582, %403, %408) : (!llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr, !llvm.ptr) -> ()
%583 = llvm.load %567 : !llvm.ptr -> i64
%584 = llvm.load %571 : !llvm.ptr -> i64
%585 = arith.addi %583, %584 : i64
%586 = arith.remsi %585, %379 : i64
%587 = llvm.load %436 : !llvm.ptr -> !llvm.ptr
%588 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
llvm.store %588, %436 : !llvm.ptr, !llvm.ptr
%589 = llvm.load %443 : !llvm.ptr -> !llvm.ptr
llvm.store %589, %429 : !llvm.ptr, !llvm.ptr
llvm.store %587, %443 : !llvm.ptr, !llvm.ptr
%590 = llvm.load %567 : !llvm.ptr -> i64
llvm.store %590, %571 : i64, !llvm.ptr
llvm.store %586, %567 : i64, !llvm.ptr
%592 = arith.constant 0 : i32
%593 = llvm.load %395 : !llvm.ptr -> !llvm.ptr
%594 = arith.constant 0 : i32
%595 = arith.extsi %592 : i32 to i64
%596 = arith.extsi %594 : i32 to i64
func.call @pcopy(%413, %595, %593, %596) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%598 = arith.constant 0 : i32
%599 = llvm.load %429 : !llvm.ptr -> !llvm.ptr
%600 = arith.constant 0 : i32
%601 = arith.extsi %598 : i32 to i64
%602 = arith.extsi %600 : i32 to i64
func.call @pcopy(%418, %601, %599, %602) : (!llvm.ptr, i64, !llvm.ptr, i64) -> ()
%603 = func.call @pgcddeg(%413, %418) : (!llvm.ptr, !llvm.ptr) -> i64
%604 = arith.muli %381, %586 : i64
%605 = arith.subi %604, %603 : i64
%606 = arith.remsi %605, %379 : i64
%607 = arith.addi %606, %379 : i64
%608 = arith.remsi %607, %379 : i64
%609 = llvm.load %563 : !llvm.ptr -> i64
%610 = func.call @powmod2(%608, %377) : (i64, i64) -> i64
%611 = arith.addi %609, %610 : i64
%612 = arith.remsi %611, %377 : i64
llvm.store %612, %563 : i64, !llvm.ptr
%613 = llvm.load %459 : !llvm.ptr -> i64
%614 = arith.constant 1 : i32
%616 = arith.extsi %614 : i32 to i64
%615 = arith.addi %613, %616 : i64
llvm.store %615, %459 : i64, !llvm.ptr
cf.br ^bb54
^bb56:
%617 = llvm.mlir.addressof @str_0 : !llvm.ptr
%618 = llvm.load %563 : !llvm.ptr -> i64
%619 = llvm.call @printf(%617, %618) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
%620 = arith.constant 0 : i32
func.return %620 : i32
}
}