Problem 207

Least m=k(k+1) with perfect/total partition ratio < 1/12345.

View problem on Project Euler

Performance comparison

Flow source

# Project Euler 207
# Least m=k(k+1) with perfect/total partition ratio < 1/12345.

function is_pow2(x: i64) -> bool {
    return (x & (x - 1)) == 0
}

function main() -> i32 {
    let num: i64 = 1
    let den: i64 = 12345
    let mut total: i64 = 1
    let mut perfect: i64 = 1
    let mut x: i64 = 3
    while perfect * den > total * num {
        if is_pow2(x) {
            perfect = perfect + 1
        }
        total = total + 1
        x = x + 1
    }
    printf("%lld\n", x * (x - 1))
    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; }

bool is_pow2_i64(int64_t x);
int32_t main(void);

bool is_pow2_i64(int64_t x) {
    return (x & (x - 1)) == 0;
}

int32_t main(void) {
    int64_t num = 1;
    int64_t den = 12345;
    int64_t total = 1;
    int64_t perfect = 1;
    int64_t x = 3;
    while ((perfect * den) > (total * num)) {
        if (is_pow2_i64(x)) {
            perfect = (perfect + 1);
        }
        total = (total + 1);
        x = (x + 1);
    }
    printf("%lld\n", (x * (x - 1)));
    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 @is_pow2(%arg0: i64) -> i1 {
    %0 = arith.constant 1 : i32
    %2 = arith.extsi %0 : i32 to i64
    %1 = arith.subi %arg0, %2 : i64
    %3 = arith.andi %arg0, %1 : i64
    %4 = arith.constant 0 : i32
    %6 = arith.extsi %4 : i32 to i64
    %5 = arith.cmpi eq, %3, %6 : i64
    func.return %5 : i1
  }
  func.func @main() -> i32 {
    %7 = arith.constant 1 : i32
    %8 = arith.extsi %7 : i32 to i64
    %9 = arith.constant 12345 : i32
    %10 = arith.extsi %9 : i32 to i64
    %11 = arith.constant 1 : i32
    %12 = arith.extsi %11 : i32 to i64
    %13 = llvm.mlir.constant(1 : i64) : i64
    %14 = llvm.alloca %13 x i64 : (i64) -> !llvm.ptr
    llvm.store %12, %14 : i64, !llvm.ptr
    %15 = arith.constant 1 : i32
    %16 = arith.extsi %15 : i32 to i64
    %17 = llvm.mlir.constant(1 : i64) : i64
    %18 = llvm.alloca %17 x i64 : (i64) -> !llvm.ptr
    llvm.store %16, %18 : i64, !llvm.ptr
    %19 = arith.constant 3 : i32
    %20 = arith.extsi %19 : i32 to i64
    %21 = llvm.mlir.constant(1 : i64) : i64
    %22 = llvm.alloca %21 x i64 : (i64) -> !llvm.ptr
    llvm.store %20, %22 : i64, !llvm.ptr
    cf.br ^bb0
    ^bb0:
    %23 = llvm.load %18 : !llvm.ptr -> i64
    %24 = arith.muli %23, %10 : i64
    %25 = llvm.load %14 : !llvm.ptr -> i64
    %26 = arith.muli %25, %8 : i64
    %27 = arith.cmpi sgt, %24, %26 : i64
    cf.cond_br %27, ^bb1, ^bb2
    ^bb1:
      %29 = llvm.load %22 : !llvm.ptr -> i64
      %28 = func.call @is_pow2(%29) : (i64) -> i1
      cf.cond_br %28, ^bb3, ^bb4
      ^bb3:
        %30 = llvm.load %18 : !llvm.ptr -> i64
        %31 = arith.constant 1 : i32
        %33 = arith.extsi %31 : i32 to i64
        %32 = arith.addi %30, %33 : i64
        llvm.store %32, %18 : i64, !llvm.ptr
        cf.br ^bb5
      ^bb4:
        cf.br ^bb5
      ^bb5:
      %34 = llvm.load %14 : !llvm.ptr -> i64
      %35 = arith.constant 1 : i32
      %37 = arith.extsi %35 : i32 to i64
      %36 = arith.addi %34, %37 : i64
      llvm.store %36, %14 : i64, !llvm.ptr
      %38 = llvm.load %22 : !llvm.ptr -> i64
      %39 = arith.constant 1 : i32
      %41 = arith.extsi %39 : i32 to i64
      %40 = arith.addi %38, %41 : i64
      llvm.store %40, %22 : i64, !llvm.ptr
      cf.br ^bb0
    ^bb2:
    %42 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %43 = llvm.load %22 : !llvm.ptr -> i64
    %44 = llvm.load %22 : !llvm.ptr -> i64
    %45 = arith.constant 1 : i32
    %47 = arith.extsi %45 : i32 to i64
    %46 = arith.subi %44, %47 : i64
    %48 = arith.muli %43, %46 : i64
    %49 = llvm.call @printf(%42, %48) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    %50 = arith.constant 0 : i32
    func.return %50 : i32
  }
}