← All problems Problem 056
Maximal digital sum of a^b for a,b < 100.
View problem on Project Euler
Performance comparison
Metric Our solution Best known
Time complexity O(n^2)O(n^2)Space complexity O(n)O(n)Approach Flow solution Big-integer power, digit sum Verdict Optimal
Flow source
# Project Euler 056
# Maximal digital sum of a^b for a,b < 100.
import euler.digits { Digits, digits_one, digits_set_one, digits_mul_u32, digits_sum }
extern {
function free(p: ptr<void>) -> void
}
function main() -> i32 {
let mut d: Digits = digits_one(220)
if d.data == null {
return 1
}
let mut best: i64 = 0
for a in 1..100 {
digits_set_one(&d)
for b in 1..100 {
digits_mul_u32(&d, a)
let s: i64 = digits_sum(d)
if s > best {
best = s
}
}
}
printf("%lld\n", best)
free(d.data)
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; }
typedef struct Digits Digits;
struct Digits {
int32_t* data;
int32_t len;
};
Digits digits_one_i64(int64_t cap);
void digits_set_one_ptr_Digits(Digits* d);
void digits_set_u64_ptr_Digits_i64(Digits* d, int64_t value);
void digits_mul_u32_ptr_Digits_i32(Digits* d, int32_t m);
void digits_reverse_add_ptr_Digits_ptr_i32(Digits* d, int32_t* tmp);
bool digits_is_palindrome_Digits(Digits d);
int64_t digits_sum_Digits(Digits d);
int32_t main(void);
Digits digits_one_i64(int64_t cap) {
int32_t* data = (int32_t*)(calloc(cap, 4));
if (data != NULL) {
data[0] = 1;
}
return (Digits){ .data = data, .len = 1 };
}
void digits_set_one_ptr_Digits(Digits* d) {
d[0].data[0] = 1;
d[0].len = 1;
}
void digits_set_u64_ptr_Digits_i64(Digits* d, int64_t value) {
int64_t x = value;
int32_t len = 0;
if (x == 0) {
d[0].data[0] = 0;
d[0].len = 1;
return;
}
while (x > 0) {
d[0].data[len] = ((int32_t)(FLOW_CHECKED_MOD((x), (10))));
x = FLOW_CHECKED_DIV((x), (10));
len = (len + 1);
}
d[0].len = len;
}
void digits_mul_u32_ptr_Digits_i32(Digits* d, int32_t m) {
int32_t carry = 0;
int32_t __flow_step_1 = 1;
for (int32_t i = 0; (0 <= d[0].len) ? i < d[0].len : i > d[0].len; i += (0 <= d[0].len) ? 1 : -1) {
int32_t v = ((d[0].data[i] * m) + carry);
d[0].data[i] = FLOW_CHECKED_MOD((v), (10));
carry = FLOW_CHECKED_DIV((v), (10));
}
while (carry > 0) {
d[0].data[d[0].len] = FLOW_CHECKED_MOD((carry), (10));
carry = FLOW_CHECKED_DIV((carry), (10));
d[0].len = (d[0].len + 1);
}
}
void digits_reverse_add_ptr_Digits_ptr_i32(Digits* d, int32_t* tmp) {
int32_t len = d[0].len;
int32_t carry = 0;
int32_t __flow_step_2 = 1;
for (int32_t i = 0; (0 <= len) ? i < len : i > len; i += (0 <= len) ? 1 : -1) {
int32_t v = ((d[0].data[i] + d[0].data[((len - 1) - i)]) + carry);
tmp[i] = FLOW_CHECKED_MOD((v), (10));
carry = FLOW_CHECKED_DIV((v), (10));
}
int32_t new_len = len;
if (carry > 0) {
tmp[new_len] = carry;
new_len = (new_len + 1);
}
int32_t __flow_step_3 = 1;
for (int32_t i = 0; (0 <= new_len) ? i < new_len : i > new_len; i += (0 <= new_len) ? 1 : -1) {
d[0].data[i] = tmp[i];
}
d[0].len = new_len;
}
bool digits_is_palindrome_Digits(Digits d) {
int32_t half = FLOW_CHECKED_DIV((d.len), (2));
int32_t __flow_step_4 = 1;
for (int32_t i = 0; (0 <= half) ? i < half : i > half; i += (0 <= half) ? 1 : -1) {
if (d.data[i] != d.data[((d.len - 1) - i)]) {
return 0;
}
}
return 1;
}
int64_t digits_sum_Digits(Digits d) {
int64_t total = 0;
int32_t __flow_step_5 = 1;
for (int32_t i = 0; (0 <= d.len) ? i < d.len : i > d.len; i += (0 <= d.len) ? 1 : -1) {
total = (total + ((int64_t)(d.data[i])));
}
return total;
}
int32_t main(void) {
Digits d = digits_one_i64(220);
if (d.data == NULL) {
return 1;
}
int64_t best = 0;
int32_t __flow_step_6 = 1;
for (int32_t a = 1; (1 <= 100) ? a < 100 : a > 100; a += (1 <= 100) ? 1 : -1) {
digits_set_one_ptr_Digits((&(d)));
int32_t __flow_step_7 = 1;
for (int32_t b = 1; (1 <= 100) ? b < 100 : b > 100; b += (1 <= 100) ? 1 : -1) {
digits_mul_u32_ptr_Digits_i32((&(d)), a);
int64_t s = digits_sum_Digits(d);
if (s > best) {
best = s;
}
}
}
printf("%lld\n", best);
free(d.data);
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>
// Struct: Digits
// Fields:
// data: !llvm.ptr
// len: i32
func.func private @calloc(i64, i64) -> !llvm.ptr
func.func @digits_one(%arg0: i64) -> !llvm.struct<(!llvm.ptr, i32)> {
%1 = arith.constant 4 : i32
%2 = arith.extsi %1 : i32 to i64
%0 = func.call @calloc(%arg0, %2) : (i64, i64) -> !llvm.ptr
%3 = llvm.mlir.zero : !llvm.ptr
%4 = llvm.icmp "ne" %0, %3 : !llvm.ptr
cf.cond_br %4, ^bb0, ^bb1
^bb0:
%5 = arith.constant 1 : i32
%6 = arith.constant 0 : i32
%7 = arith.extsi %6 : i32 to i64
%8 = llvm.getelementptr %0[%7] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %5, %8 : i32, !llvm.ptr
cf.br ^bb2
^bb1:
cf.br ^bb2
^bb2:
%9 = llvm.mlir.undef : !llvm.struct<(!llvm.ptr, i32)>
%10 = llvm.insertvalue %0, %9[0] : !llvm.struct<(!llvm.ptr, i32)>
%11 = arith.constant 1 : i32
%12 = llvm.insertvalue %11, %10[1] : !llvm.struct<(!llvm.ptr, i32)>
%13 = llvm.mlir.undef : !llvm.struct<(!llvm.ptr, i32)>
%14 = llvm.extractvalue %12[0] : !llvm.struct<(!llvm.ptr, i32)>
%15 = llvm.insertvalue %14, %13[0] : !llvm.struct<(!llvm.ptr, i32)>
%16 = llvm.extractvalue %12[1] : !llvm.struct<(!llvm.ptr, i32)>
%17 = llvm.insertvalue %16, %15[1] : !llvm.struct<(!llvm.ptr, i32)>
%18 = llvm.mlir.constant(1 : i64) : i64
%19 = llvm.alloca %18 x !llvm.struct<(!llvm.ptr, i32)> : (i64) -> !llvm.ptr
llvm.store %17, %19 : !llvm.struct<(!llvm.ptr, i32)>, !llvm.ptr
%20 = llvm.load %19 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
func.return %20 : !llvm.struct<(!llvm.ptr, i32)>
}
func.func @digits_set_one(%arg0: !llvm.ptr) -> () {
%21 = arith.constant 1 : i32
%23 = arith.constant 0 : i32
%24 = arith.extsi %23 : i32 to i64
%25 = llvm.getelementptr %arg0[%24] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%22 = llvm.load %25 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%26 = arith.constant 0 : i32
%27 = arith.extsi %26 : i32 to i64
%28 = llvm.getelementptr %arg0[%27] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%29 = llvm.getelementptr %28[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%30 = llvm.load %29 : !llvm.ptr -> !llvm.ptr
%31 = arith.constant 0 : i32
%32 = arith.extsi %31 : i32 to i64
%33 = llvm.getelementptr %30[%32] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %21, %33 : i32, !llvm.ptr
%34 = arith.constant 1 : i32
%35 = arith.constant 0 : i32
%36 = arith.extsi %35 : i32 to i64
%37 = llvm.getelementptr %arg0[%36] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%38 = llvm.getelementptr %37[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
llvm.store %34, %38 : i32, !llvm.ptr
func.return
}
func.func @digits_set_u64(%arg0: !llvm.ptr, %arg1: i64) -> () {
%39 = llvm.mlir.constant(1 : i64) : i64
%40 = llvm.alloca %39 x i64 : (i64) -> !llvm.ptr
llvm.store %arg1, %40 : i64, !llvm.ptr
%41 = arith.constant 0 : i32
%42 = llvm.mlir.constant(1 : i64) : i64
%43 = llvm.alloca %42 x i32 : (i64) -> !llvm.ptr
llvm.store %41, %43 : i32, !llvm.ptr
%44 = llvm.load %40 : !llvm.ptr -> i64
%45 = arith.constant 0 : i32
%47 = arith.extsi %45 : i32 to i64
%46 = arith.cmpi eq, %44, %47 : i64
cf.cond_br %46, ^bb3, ^bb4
^bb3:
%48 = arith.constant 0 : i32
%50 = arith.constant 0 : i32
%51 = arith.extsi %50 : i32 to i64
%52 = llvm.getelementptr %arg0[%51] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%49 = llvm.load %52 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%53 = arith.constant 0 : i32
%54 = arith.extsi %53 : i32 to i64
%55 = llvm.getelementptr %arg0[%54] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%56 = llvm.getelementptr %55[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%57 = llvm.load %56 : !llvm.ptr -> !llvm.ptr
%58 = arith.constant 0 : i32
%59 = arith.extsi %58 : i32 to i64
%60 = llvm.getelementptr %57[%59] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %48, %60 : i32, !llvm.ptr
%61 = arith.constant 1 : i32
%62 = arith.constant 0 : i32
%63 = arith.extsi %62 : i32 to i64
%64 = llvm.getelementptr %arg0[%63] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%65 = llvm.getelementptr %64[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
llvm.store %61, %65 : i32, !llvm.ptr
func.return
^bb4:
cf.br ^bb5
^bb5:
cf.br ^bb6
^bb6:
%66 = llvm.load %40 : !llvm.ptr -> i64
%67 = arith.constant 0 : i32
%69 = arith.extsi %67 : i32 to i64
%68 = arith.cmpi sgt, %66, %69 : i64
cf.cond_br %68, ^bb7, ^bb8
^bb7:
%70 = llvm.load %40 : !llvm.ptr -> i64
%71 = arith.constant 10 : i32
%73 = arith.extsi %71 : i32 to i64
%72 = arith.remsi %70, %73 : i64
%74 = arith.trunci %72 : i64 to i32
%76 = arith.constant 0 : i32
%77 = arith.extsi %76 : i32 to i64
%78 = llvm.getelementptr %arg0[%77] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%75 = llvm.load %78 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%79 = arith.constant 0 : i32
%80 = arith.extsi %79 : i32 to i64
%81 = llvm.getelementptr %arg0[%80] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%82 = llvm.getelementptr %81[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%83 = llvm.load %82 : !llvm.ptr -> !llvm.ptr
%84 = llvm.load %43 : !llvm.ptr -> i32
%85 = arith.extsi %84 : i32 to i64
%86 = llvm.getelementptr %83[%85] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %74, %86 : i32, !llvm.ptr
%87 = llvm.load %40 : !llvm.ptr -> i64
%88 = arith.constant 10 : i32
%90 = arith.extsi %88 : i32 to i64
%89 = arith.divsi %87, %90 : i64
llvm.store %89, %40 : i64, !llvm.ptr
%91 = llvm.load %43 : !llvm.ptr -> i32
%92 = arith.constant 1 : i32
%93 = arith.addi %91, %92 : i32
llvm.store %93, %43 : i32, !llvm.ptr
cf.br ^bb6
^bb8:
%94 = llvm.load %43 : !llvm.ptr -> i32
%95 = arith.constant 0 : i32
%96 = arith.extsi %95 : i32 to i64
%97 = llvm.getelementptr %arg0[%96] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%98 = llvm.getelementptr %97[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
llvm.store %94, %98 : i32, !llvm.ptr
func.return
}
func.func @digits_mul_u32(%arg0: !llvm.ptr, %arg1: i32) -> () {
%99 = arith.constant 0 : i32
%100 = llvm.mlir.constant(1 : i64) : i64
%101 = llvm.alloca %100 x i32 : (i64) -> !llvm.ptr
llvm.store %99, %101 : i32, !llvm.ptr
%102 = arith.constant 0 : i32
%104 = arith.constant 0 : i32
%105 = arith.extsi %104 : i32 to i64
%106 = llvm.getelementptr %arg0[%105] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%103 = llvm.load %106 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%107 = arith.constant 0 : i32
%108 = arith.extsi %107 : i32 to i64
%109 = llvm.getelementptr %arg0[%108] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%110 = llvm.getelementptr %109[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%111 = llvm.load %110 : !llvm.ptr -> i32
%112 = arith.index_cast %102 : i32 to index
%113 = arith.index_cast %111 : i32 to index
%115 = arith.constant 1 : index
%116 = arith.constant -1 : index
%117 = arith.cmpi sle, %112, %113 : index
%114 = arith.select %117, %115, %116 : index
cf.br ^bb9(%112 : index)
^bb9(%118: index):
%119 = arith.cmpi slt, %118, %113 : index
%120 = arith.cmpi sgt, %118, %113 : index
%121 = arith.select %117, %119, %120 : i1
cf.cond_br %121, ^bb10(%118 : index), ^bb11(%118 : index)
^bb10(%122: index):
%125 = arith.constant 0 : i32
%126 = arith.extsi %125 : i32 to i64
%127 = llvm.getelementptr %arg0[%126] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%124 = llvm.load %127 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%128 = arith.constant 0 : i32
%129 = arith.extsi %128 : i32 to i64
%130 = llvm.getelementptr %arg0[%129] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%131 = llvm.getelementptr %130[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%132 = llvm.load %131 : !llvm.ptr -> !llvm.ptr
%133 = arith.index_cast %122 : index to i64
%134 = llvm.getelementptr %132[%133] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%123 = llvm.load %134 : !llvm.ptr -> i32
%135 = arith.muli %123, %arg1 : i32
%136 = llvm.load %101 : !llvm.ptr -> i32
%137 = arith.addi %135, %136 : i32
%138 = arith.constant 10 : i32
%139 = arith.remsi %137, %138 : i32
%141 = arith.constant 0 : i32
%142 = arith.extsi %141 : i32 to i64
%143 = llvm.getelementptr %arg0[%142] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%140 = llvm.load %143 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%144 = arith.constant 0 : i32
%145 = arith.extsi %144 : i32 to i64
%146 = llvm.getelementptr %arg0[%145] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%147 = llvm.getelementptr %146[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%148 = llvm.load %147 : !llvm.ptr -> !llvm.ptr
%149 = arith.index_cast %122 : index to i64
%150 = llvm.getelementptr %148[%149] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %139, %150 : i32, !llvm.ptr
%151 = arith.constant 10 : i32
%152 = arith.divsi %137, %151 : i32
llvm.store %152, %101 : i32, !llvm.ptr
%153 = arith.addi %122, %114 : index
cf.br ^bb9(%153 : index)
^bb11(%154: index):
cf.br ^bb12
^bb12:
%155 = llvm.load %101 : !llvm.ptr -> i32
%156 = arith.constant 0 : i32
%157 = arith.cmpi sgt, %155, %156 : i32
cf.cond_br %157, ^bb13, ^bb14
^bb13:
%158 = llvm.load %101 : !llvm.ptr -> i32
%159 = arith.constant 10 : i32
%160 = arith.remsi %158, %159 : i32
%162 = arith.constant 0 : i32
%163 = arith.extsi %162 : i32 to i64
%164 = llvm.getelementptr %arg0[%163] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%161 = llvm.load %164 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%165 = arith.constant 0 : i32
%166 = arith.extsi %165 : i32 to i64
%167 = llvm.getelementptr %arg0[%166] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%168 = llvm.getelementptr %167[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%169 = llvm.load %168 : !llvm.ptr -> !llvm.ptr
%171 = arith.constant 0 : i32
%172 = arith.extsi %171 : i32 to i64
%173 = llvm.getelementptr %arg0[%172] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%170 = llvm.load %173 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%174 = arith.constant 0 : i32
%175 = arith.extsi %174 : i32 to i64
%176 = llvm.getelementptr %arg0[%175] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%177 = llvm.getelementptr %176[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%178 = llvm.load %177 : !llvm.ptr -> i32
%179 = arith.extsi %178 : i32 to i64
%180 = llvm.getelementptr %169[%179] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %160, %180 : i32, !llvm.ptr
%181 = llvm.load %101 : !llvm.ptr -> i32
%182 = arith.constant 10 : i32
%183 = arith.divsi %181, %182 : i32
llvm.store %183, %101 : i32, !llvm.ptr
%185 = arith.constant 0 : i32
%186 = arith.extsi %185 : i32 to i64
%187 = llvm.getelementptr %arg0[%186] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%184 = llvm.load %187 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%188 = arith.constant 0 : i32
%189 = arith.extsi %188 : i32 to i64
%190 = llvm.getelementptr %arg0[%189] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%191 = llvm.getelementptr %190[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%192 = llvm.load %191 : !llvm.ptr -> i32
%193 = arith.constant 1 : i32
%194 = arith.addi %192, %193 : i32
%195 = arith.constant 0 : i32
%196 = arith.extsi %195 : i32 to i64
%197 = llvm.getelementptr %arg0[%196] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%198 = llvm.getelementptr %197[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
llvm.store %194, %198 : i32, !llvm.ptr
cf.br ^bb12
^bb14:
func.return
}
func.func @digits_reverse_add(%arg0: !llvm.ptr, %arg1: !llvm.ptr) -> () {
%200 = arith.constant 0 : i32
%201 = arith.extsi %200 : i32 to i64
%202 = llvm.getelementptr %arg0[%201] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%199 = llvm.load %202 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%203 = arith.constant 0 : i32
%204 = arith.extsi %203 : i32 to i64
%205 = llvm.getelementptr %arg0[%204] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%206 = llvm.getelementptr %205[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%207 = llvm.load %206 : !llvm.ptr -> i32
%208 = arith.constant 0 : i32
%209 = llvm.mlir.constant(1 : i64) : i64
%210 = llvm.alloca %209 x i32 : (i64) -> !llvm.ptr
llvm.store %208, %210 : i32, !llvm.ptr
%211 = arith.constant 0 : i32
%212 = arith.index_cast %211 : i32 to index
%213 = arith.index_cast %207 : i32 to index
%215 = arith.constant 1 : index
%216 = arith.constant -1 : index
%217 = arith.cmpi sle, %212, %213 : index
%214 = arith.select %217, %215, %216 : index
cf.br ^bb15(%212 : index)
^bb15(%218: index):
%219 = arith.cmpi slt, %218, %213 : index
%220 = arith.cmpi sgt, %218, %213 : index
%221 = arith.select %217, %219, %220 : i1
cf.cond_br %221, ^bb16(%218 : index), ^bb17(%218 : index)
^bb16(%222: index):
%225 = arith.constant 0 : i32
%226 = arith.extsi %225 : i32 to i64
%227 = llvm.getelementptr %arg0[%226] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%224 = llvm.load %227 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%228 = arith.constant 0 : i32
%229 = arith.extsi %228 : i32 to i64
%230 = llvm.getelementptr %arg0[%229] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%231 = llvm.getelementptr %230[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%232 = llvm.load %231 : !llvm.ptr -> !llvm.ptr
%233 = arith.index_cast %222 : index to i64
%234 = llvm.getelementptr %232[%233] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%223 = llvm.load %234 : !llvm.ptr -> i32
%237 = arith.constant 0 : i32
%238 = arith.extsi %237 : i32 to i64
%239 = llvm.getelementptr %arg0[%238] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%236 = llvm.load %239 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%240 = arith.constant 0 : i32
%241 = arith.extsi %240 : i32 to i64
%242 = llvm.getelementptr %arg0[%241] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%243 = llvm.getelementptr %242[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%244 = llvm.load %243 : !llvm.ptr -> !llvm.ptr
%245 = arith.constant 1 : i32
%246 = arith.subi %207, %245 : i32
%248 = arith.index_cast %222 : index to i32
%247 = arith.subi %246, %248 : i32
%249 = arith.extsi %247 : i32 to i64
%250 = llvm.getelementptr %244[%249] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%235 = llvm.load %250 : !llvm.ptr -> i32
%251 = arith.addi %223, %235 : i32
%252 = llvm.load %210 : !llvm.ptr -> i32
%253 = arith.addi %251, %252 : i32
%254 = arith.constant 10 : i32
%255 = arith.remsi %253, %254 : i32
%256 = arith.index_cast %222 : index to i64
%257 = llvm.getelementptr %arg1[%256] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %255, %257 : i32, !llvm.ptr
%258 = arith.constant 10 : i32
%259 = arith.divsi %253, %258 : i32
llvm.store %259, %210 : i32, !llvm.ptr
%260 = arith.addi %222, %214 : index
cf.br ^bb15(%260 : index)
^bb17(%261: index):
%262 = llvm.mlir.constant(1 : i64) : i64
%263 = llvm.alloca %262 x i32 : (i64) -> !llvm.ptr
llvm.store %207, %263 : i32, !llvm.ptr
%264 = llvm.load %210 : !llvm.ptr -> i32
%265 = arith.constant 0 : i32
%266 = arith.cmpi sgt, %264, %265 : i32
cf.cond_br %266, ^bb18, ^bb19
^bb18:
%267 = llvm.load %210 : !llvm.ptr -> i32
%268 = llvm.load %263 : !llvm.ptr -> i32
%269 = arith.extsi %268 : i32 to i64
%270 = llvm.getelementptr %arg1[%269] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %267, %270 : i32, !llvm.ptr
%271 = llvm.load %263 : !llvm.ptr -> i32
%272 = arith.constant 1 : i32
%273 = arith.addi %271, %272 : i32
llvm.store %273, %263 : i32, !llvm.ptr
cf.br ^bb20
^bb19:
cf.br ^bb20
^bb20:
%274 = arith.constant 0 : i32
%275 = llvm.load %263 : !llvm.ptr -> i32
%276 = arith.index_cast %274 : i32 to index
%277 = arith.index_cast %275 : i32 to index
%279 = arith.constant 1 : index
%280 = arith.constant -1 : index
%281 = arith.cmpi sle, %276, %277 : index
%278 = arith.select %281, %279, %280 : index
cf.br ^bb21(%276 : index)
^bb21(%282: index):
%283 = arith.cmpi slt, %282, %277 : index
%284 = arith.cmpi sgt, %282, %277 : index
%285 = arith.select %281, %283, %284 : i1
cf.cond_br %285, ^bb22(%282 : index), ^bb23(%282 : index)
^bb22(%286: index):
%288 = arith.index_cast %286 : index to i64
%289 = llvm.getelementptr %arg1[%288] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%287 = llvm.load %289 : !llvm.ptr -> i32
%291 = arith.constant 0 : i32
%292 = arith.extsi %291 : i32 to i64
%293 = llvm.getelementptr %arg0[%292] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%290 = llvm.load %293 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%294 = arith.constant 0 : i32
%295 = arith.extsi %294 : i32 to i64
%296 = llvm.getelementptr %arg0[%295] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%297 = llvm.getelementptr %296[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%298 = llvm.load %297 : !llvm.ptr -> !llvm.ptr
%299 = arith.index_cast %286 : index to i64
%300 = llvm.getelementptr %298[%299] : (!llvm.ptr, i64) -> !llvm.ptr, i32
llvm.store %287, %300 : i32, !llvm.ptr
%301 = arith.addi %286, %278 : index
cf.br ^bb21(%301 : index)
^bb23(%302: index):
%303 = llvm.load %263 : !llvm.ptr -> i32
%304 = arith.constant 0 : i32
%305 = arith.extsi %304 : i32 to i64
%306 = llvm.getelementptr %arg0[%305] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%307 = llvm.getelementptr %306[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
llvm.store %303, %307 : i32, !llvm.ptr
func.return
}
func.func @digits_is_palindrome(%arg0: !llvm.struct<(!llvm.ptr, i32)>) -> i1 {
%308 = llvm.mlir.undef : !llvm.struct<(!llvm.ptr, i32)>
%309 = llvm.extractvalue %arg0[0] : !llvm.struct<(!llvm.ptr, i32)>
%310 = llvm.insertvalue %309, %308[0] : !llvm.struct<(!llvm.ptr, i32)>
%311 = llvm.extractvalue %arg0[1] : !llvm.struct<(!llvm.ptr, i32)>
%312 = llvm.insertvalue %311, %310[1] : !llvm.struct<(!llvm.ptr, i32)>
%313 = llvm.mlir.constant(1 : i64) : i64
%314 = llvm.alloca %313 x !llvm.struct<(!llvm.ptr, i32)> : (i64) -> !llvm.ptr
llvm.store %312, %314 : !llvm.struct<(!llvm.ptr, i32)>, !llvm.ptr
%315 = llvm.load %314 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%316 = llvm.getelementptr %314[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%317 = llvm.load %316 : !llvm.ptr -> i32
%318 = arith.constant 2 : i32
%319 = arith.divsi %317, %318 : i32
%320 = arith.constant 0 : i32
%321 = arith.index_cast %320 : i32 to index
%322 = arith.index_cast %319 : i32 to index
%324 = arith.constant 1 : index
%325 = arith.constant -1 : index
%326 = arith.cmpi sle, %321, %322 : index
%323 = arith.select %326, %324, %325 : index
cf.br ^bb24(%321 : index)
^bb24(%327: index):
%328 = arith.cmpi slt, %327, %322 : index
%329 = arith.cmpi sgt, %327, %322 : index
%330 = arith.select %326, %328, %329 : i1
cf.cond_br %330, ^bb25(%327 : index), ^bb26(%327 : index)
^bb25(%331: index):
%333 = llvm.load %314 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%334 = llvm.getelementptr %314[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%335 = llvm.load %334 : !llvm.ptr -> !llvm.ptr
%336 = arith.index_cast %331 : index to i64
%337 = llvm.getelementptr %335[%336] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%332 = llvm.load %337 : !llvm.ptr -> i32
%339 = llvm.load %314 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%340 = llvm.getelementptr %314[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%341 = llvm.load %340 : !llvm.ptr -> !llvm.ptr
%342 = llvm.load %314 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%343 = llvm.getelementptr %314[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%344 = llvm.load %343 : !llvm.ptr -> i32
%345 = arith.constant 1 : i32
%346 = arith.subi %344, %345 : i32
%348 = arith.index_cast %331 : index to i32
%347 = arith.subi %346, %348 : i32
%349 = arith.extsi %347 : i32 to i64
%350 = llvm.getelementptr %341[%349] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%338 = llvm.load %350 : !llvm.ptr -> i32
%351 = arith.cmpi ne, %332, %338 : i32
cf.cond_br %351, ^bb27, ^bb28
^bb27:
%352 = arith.constant 0 : i1
func.return %352 : i1
^bb28:
cf.br ^bb29
^bb29:
%353 = arith.addi %331, %323 : index
cf.br ^bb24(%353 : index)
^bb26(%354: index):
%355 = arith.constant 1 : i1
func.return %355 : i1
}
func.func @digits_sum(%arg0: !llvm.struct<(!llvm.ptr, i32)>) -> i64 {
%356 = llvm.mlir.undef : !llvm.struct<(!llvm.ptr, i32)>
%357 = llvm.extractvalue %arg0[0] : !llvm.struct<(!llvm.ptr, i32)>
%358 = llvm.insertvalue %357, %356[0] : !llvm.struct<(!llvm.ptr, i32)>
%359 = llvm.extractvalue %arg0[1] : !llvm.struct<(!llvm.ptr, i32)>
%360 = llvm.insertvalue %359, %358[1] : !llvm.struct<(!llvm.ptr, i32)>
%361 = llvm.mlir.constant(1 : i64) : i64
%362 = llvm.alloca %361 x !llvm.struct<(!llvm.ptr, i32)> : (i64) -> !llvm.ptr
llvm.store %360, %362 : !llvm.struct<(!llvm.ptr, i32)>, !llvm.ptr
%363 = arith.constant 0 : i32
%364 = arith.extsi %363 : i32 to i64
%365 = llvm.mlir.constant(1 : i64) : i64
%366 = llvm.alloca %365 x i64 : (i64) -> !llvm.ptr
llvm.store %364, %366 : i64, !llvm.ptr
%367 = arith.constant 0 : i32
%368 = llvm.load %362 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%369 = llvm.getelementptr %362[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%370 = llvm.load %369 : !llvm.ptr -> i32
%371 = arith.index_cast %367 : i32 to index
%372 = arith.index_cast %370 : i32 to index
%374 = arith.constant 1 : index
%375 = arith.constant -1 : index
%376 = arith.cmpi sle, %371, %372 : index
%373 = arith.select %376, %374, %375 : index
cf.br ^bb30(%371 : index)
^bb30(%377: index):
%378 = arith.cmpi slt, %377, %372 : index
%379 = arith.cmpi sgt, %377, %372 : index
%380 = arith.select %376, %378, %379 : i1
cf.cond_br %380, ^bb31(%377 : index), ^bb32(%377 : index)
^bb31(%381: index):
%382 = llvm.load %366 : !llvm.ptr -> i64
%384 = llvm.load %362 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%385 = llvm.getelementptr %362[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%386 = llvm.load %385 : !llvm.ptr -> !llvm.ptr
%387 = arith.index_cast %381 : index to i64
%388 = llvm.getelementptr %386[%387] : (!llvm.ptr, i64) -> !llvm.ptr, i32
%383 = llvm.load %388 : !llvm.ptr -> i32
%389 = arith.extsi %383 : i32 to i64
%390 = arith.addi %382, %389 : i64
llvm.store %390, %366 : i64, !llvm.ptr
%391 = arith.addi %381, %373 : index
cf.br ^bb30(%391 : index)
^bb32(%392: index):
%393 = llvm.load %366 : !llvm.ptr -> i64
func.return %393 : i64
}
func.func private @free(!llvm.ptr) -> ()
func.func @main() -> i32 {
%395 = arith.constant 220 : i32
%396 = arith.extsi %395 : i32 to i64
%394 = func.call @digits_one(%396) : (i64) -> !llvm.struct<(!llvm.ptr, i32)>
%397 = llvm.mlir.undef : !llvm.struct<(!llvm.ptr, i32)>
%398 = llvm.extractvalue %394[0] : !llvm.struct<(!llvm.ptr, i32)>
%399 = llvm.insertvalue %398, %397[0] : !llvm.struct<(!llvm.ptr, i32)>
%400 = llvm.extractvalue %394[1] : !llvm.struct<(!llvm.ptr, i32)>
%401 = llvm.insertvalue %400, %399[1] : !llvm.struct<(!llvm.ptr, i32)>
%402 = llvm.mlir.constant(1 : i64) : i64
%403 = llvm.alloca %402 x !llvm.struct<(!llvm.ptr, i32)> : (i64) -> !llvm.ptr
llvm.store %401, %403 : !llvm.struct<(!llvm.ptr, i32)>, !llvm.ptr
%404 = llvm.load %403 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%405 = llvm.mlir.constant(1 : i64) : i64
%406 = llvm.alloca %405 x !llvm.struct<(!llvm.ptr, i32)> : (i64) -> !llvm.ptr
llvm.store %404, %406 : !llvm.struct<(!llvm.ptr, i32)>, !llvm.ptr
%407 = llvm.load %406 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%408 = llvm.getelementptr %406[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%409 = llvm.load %408 : !llvm.ptr -> !llvm.ptr
%410 = llvm.mlir.zero : !llvm.ptr
%411 = llvm.icmp "eq" %409, %410 : !llvm.ptr
cf.cond_br %411, ^bb33, ^bb34
^bb33:
%412 = arith.constant 1 : i32
func.return %412 : i32
^bb34:
cf.br ^bb35
^bb35:
%413 = arith.constant 0 : i32
%414 = arith.extsi %413 : i32 to i64
%415 = llvm.mlir.constant(1 : i64) : i64
%416 = llvm.alloca %415 x i64 : (i64) -> !llvm.ptr
llvm.store %414, %416 : i64, !llvm.ptr
%417 = arith.constant 1 : i32
%418 = arith.constant 100 : i32
%419 = arith.index_cast %417 : i32 to index
%420 = arith.index_cast %418 : i32 to index
%422 = arith.constant 1 : index
%423 = arith.constant -1 : index
%424 = arith.cmpi sle, %419, %420 : index
%421 = arith.select %424, %422, %423 : index
cf.br ^bb36(%419 : index)
^bb36(%425: index):
%426 = arith.cmpi slt, %425, %420 : index
%427 = arith.cmpi sgt, %425, %420 : index
%428 = arith.select %424, %426, %427 : i1
cf.cond_br %428, ^bb37(%425 : index), ^bb38(%425 : index)
^bb37(%429: index):
func.call @digits_set_one(%406) : (!llvm.ptr) -> ()
%431 = arith.constant 1 : i32
%432 = arith.constant 100 : i32
%433 = arith.index_cast %431 : i32 to index
%434 = arith.index_cast %432 : i32 to index
%436 = arith.constant 1 : index
%437 = arith.constant -1 : index
%438 = arith.cmpi sle, %433, %434 : index
%435 = arith.select %438, %436, %437 : index
cf.br ^bb39(%433 : index)
^bb39(%439: index):
%440 = arith.cmpi slt, %439, %434 : index
%441 = arith.cmpi sgt, %439, %434 : index
%442 = arith.select %438, %440, %441 : i1
cf.cond_br %442, ^bb40(%439 : index), ^bb41(%439 : index)
^bb40(%443: index):
%445 = arith.index_cast %429 : index to i32
func.call @digits_mul_u32(%406, %445) : (!llvm.ptr, i32) -> ()
%447 = llvm.load %406 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%446 = func.call @digits_sum(%447) : (!llvm.struct<(!llvm.ptr, i32)>) -> i64
%448 = llvm.load %416 : !llvm.ptr -> i64
%449 = arith.cmpi sgt, %446, %448 : i64
cf.cond_br %449, ^bb42, ^bb43
^bb42:
llvm.store %446, %416 : i64, !llvm.ptr
cf.br ^bb44
^bb43:
cf.br ^bb44
^bb44:
%450 = arith.addi %443, %435 : index
cf.br ^bb39(%450 : index)
^bb41(%451: index):
%452 = arith.addi %429, %421 : index
cf.br ^bb36(%452 : index)
^bb38(%453: index):
%454 = llvm.mlir.addressof @str_0 : !llvm.ptr
%455 = llvm.load %416 : !llvm.ptr -> i64
%456 = llvm.call @printf(%454, %455) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
%458 = llvm.load %406 : !llvm.ptr -> !llvm.struct<(!llvm.ptr, i32)>
%459 = llvm.getelementptr %406[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(!llvm.ptr, i32)>
%460 = llvm.load %459 : !llvm.ptr -> !llvm.ptr
func.call @free(%460) : (!llvm.ptr) -> ()
%461 = arith.constant 0 : i32
func.return %461 : i32
}
}