Problem 023

Sum of all positive integers which cannot be written as the sum of two abundant numbers.

View problem on Project Euler

Performance comparison

Flow source

# Project Euler 023
# Sum of all positive integers which cannot be written as the sum of two
# abundant numbers.

extern {
    function calloc(n: i64, size: i64) -> ptr<void>
    function free(p: ptr<void>) -> void
}

struct NumInfo {
    sumdiv: i32,
    abundant: i32,
    can: i8
}

function main() -> i32 {
    let limit: i32 = 28123
    let info: ptr<NumInfo> = calloc((limit + 1) as i64, 9) as ptr<NumInfo>
    if info == null {
        return 1
    }

    for i in 1..(limit + 1) {
        let mut j: i32 = 2 * i
        while j <= limit {
            info[j].sumdiv = info[j].sumdiv + i
            j = j + i
        }
    }

    let mut acount: i32 = 0
    for i in 1..(limit + 1) {
        if info[i].sumdiv > i {
            info[acount].abundant = i
            acount = acount + 1
        }
    }

    for a in 0..acount {
        for b in a..acount {
            let s: i32 = info[a].abundant + info[b].abundant
            if s > limit {
                break
            }
            info[s].can = 1
        }
    }

    let mut total: i64 = 0
    for i in 1..(limit + 1) {
        if info[i].can == 0 {
            total = total + (i as i64)
        }
    }
    printf("%lld\n", total)
    free(info)
    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 NumInfo NumInfo;

struct NumInfo {
    int32_t sumdiv;
    int32_t abundant;
    int8_t can;
};

int32_t main(void);



int32_t main(void) {
    int32_t limit = 28123;
    NumInfo* info = (NumInfo*)(((NumInfo*)(calloc(((int64_t)((limit + 1))), 9))));
    if (info == NULL) {
        return 1;
    }
    int32_t __flow_step_1 = 1;
    for (int32_t i = 1; (1 <= (limit + 1)) ? i < (limit + 1) : i > (limit + 1); i += (1 <= (limit + 1)) ? 1 : -1) {
        int32_t j = (2 * i);
        while (j <= limit) {
            info[j].sumdiv = (info[j].sumdiv + i);
            j = (j + i);
        }
    }
    int32_t acount = 0;
    int32_t __flow_step_2 = 1;
    for (int32_t i = 1; (1 <= (limit + 1)) ? i < (limit + 1) : i > (limit + 1); i += (1 <= (limit + 1)) ? 1 : -1) {
        if (info[i].sumdiv > i) {
            info[acount].abundant = i;
            acount = (acount + 1);
        }
    }
    int32_t __flow_step_3 = 1;
    for (int32_t a = 0; (0 <= acount) ? a < acount : a > acount; a += (0 <= acount) ? 1 : -1) {
        int32_t __flow_step_4 = 1;
        for (int32_t b = a; (a <= acount) ? b < acount : b > acount; b += (a <= acount) ? 1 : -1) {
            int32_t s = (info[a].abundant + info[b].abundant);
            if (s > limit) {
                break;
            }
            info[s].can = 1;
        }
    }
    int64_t total = 0;
    int32_t __flow_step_5 = 1;
    for (int32_t i = 1; (1 <= (limit + 1)) ? i < (limit + 1) : i > (limit + 1); i += (1 <= (limit + 1)) ? 1 : -1) {
        if (info[i].can == 0) {
            total = (total + ((int64_t)(i)));
        }
    }
    printf("%lld\n", total);
    free(info);
    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) -> ()
  // Struct: NumInfo
  // Fields:
  //   sumdiv: i32
  //   abundant: i32
  //   can: i8
  func.func @main() -> i32 {
    %0 = arith.constant 28123 : i32
    %2 = arith.constant 1 : i32
    %3 = arith.addi %0, %2 : i32
    %4 = arith.extsi %3 : i32 to i64
    %5 = arith.constant 9 : i32
    %6 = arith.extsi %5 : i32 to i64
    %1 = func.call @calloc(%4, %6) : (i64, i64) -> !llvm.ptr
    %7 = llvm.mlir.zero : !llvm.ptr
    %8 = llvm.icmp "eq" %1, %7 : !llvm.ptr
    cf.cond_br %8, ^bb0, ^bb1
    ^bb0:
      %9 = arith.constant 1 : i32
      func.return %9 : i32
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %10 = arith.constant 1 : i32
    %11 = arith.constant 1 : i32
    %12 = arith.addi %0, %11 : i32
    %13 = arith.index_cast %10 : i32 to index
    %14 = arith.index_cast %12 : i32 to index
    %16 = arith.constant 1 : index
    %17 = arith.constant -1 : index
    %18 = arith.cmpi sle, %13, %14 : index
    %15 = arith.select %18, %16, %17 : index
    cf.br ^bb3(%13 : index)
    ^bb3(%19: index):
    %20 = arith.cmpi slt, %19, %14 : index
    %21 = arith.cmpi sgt, %19, %14 : index
    %22 = arith.select %18, %20, %21 : i1
    cf.cond_br %22, ^bb4(%19 : index), ^bb5(%19 : index)
    ^bb4(%23: index):
      %24 = arith.constant 2 : i32
      %26 = arith.index_cast %23 : index to i32
      %25 = arith.muli %24, %26 : i32
      %27 = llvm.mlir.constant(1 : i64) : i64
      %28 = llvm.alloca %27 x i32 : (i64) -> !llvm.ptr
      llvm.store %25, %28 : i32, !llvm.ptr
      cf.br ^bb6
      ^bb6:
      %29 = llvm.load %28 : !llvm.ptr -> i32
      %30 = arith.cmpi sle, %29, %0 : i32
      cf.cond_br %30, ^bb7, ^bb8
      ^bb7:
        %32 = llvm.load %28 : !llvm.ptr -> i32
        %33 = arith.extsi %32 : i32 to i64
        %34 = llvm.getelementptr %1[%33] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %31 = llvm.load %34 : !llvm.ptr -> !llvm.struct<(i32, i32, i8)>
        %35 = llvm.load %28 : !llvm.ptr -> i32
        %36 = arith.extsi %35 : i32 to i64
        %37 = llvm.getelementptr %1[%36] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %38 = llvm.getelementptr %37[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %39 = llvm.load %38 : !llvm.ptr -> i32
        %41 = arith.index_cast %23 : index to i32
        %40 = arith.addi %39, %41 : i32
        %42 = llvm.load %28 : !llvm.ptr -> i32
        %43 = arith.extsi %42 : i32 to i64
        %44 = llvm.getelementptr %1[%43] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %45 = llvm.getelementptr %44[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        llvm.store %40, %45 : i32, !llvm.ptr
        %46 = llvm.load %28 : !llvm.ptr -> i32
        %48 = arith.index_cast %23 : index to i32
        %47 = arith.addi %46, %48 : i32
        llvm.store %47, %28 : i32, !llvm.ptr
        cf.br ^bb6
      ^bb8:
      %49 = arith.addi %23, %15 : index
      cf.br ^bb3(%49 : index)
    ^bb5(%50: index):
    %51 = arith.constant 0 : i32
    %52 = llvm.mlir.constant(1 : i64) : i64
    %53 = llvm.alloca %52 x i32 : (i64) -> !llvm.ptr
    llvm.store %51, %53 : i32, !llvm.ptr
    %54 = arith.constant 1 : i32
    %55 = arith.constant 1 : i32
    %56 = arith.addi %0, %55 : i32
    %57 = arith.index_cast %54 : i32 to index
    %58 = arith.index_cast %56 : i32 to index
    %60 = arith.constant 1 : index
    %61 = arith.constant -1 : index
    %62 = arith.cmpi sle, %57, %58 : index
    %59 = arith.select %62, %60, %61 : index
    cf.br ^bb9(%57 : index)
    ^bb9(%63: index):
    %64 = arith.cmpi slt, %63, %58 : index
    %65 = arith.cmpi sgt, %63, %58 : index
    %66 = arith.select %62, %64, %65 : i1
    cf.cond_br %66, ^bb10(%63 : index), ^bb11(%63 : index)
    ^bb10(%67: index):
      %69 = arith.index_cast %67 : index to i64
      %70 = llvm.getelementptr %1[%69] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %68 = llvm.load %70 : !llvm.ptr -> !llvm.struct<(i32, i32, i8)>
      %71 = arith.index_cast %67 : index to i64
      %72 = llvm.getelementptr %1[%71] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %73 = llvm.getelementptr %72[0, 0] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %74 = llvm.load %73 : !llvm.ptr -> i32
      %76 = arith.index_cast %67 : index to i32
      %75 = arith.cmpi sgt, %74, %76 : i32
      cf.cond_br %75, ^bb12, ^bb13
      ^bb12:
        %77 = llvm.load %53 : !llvm.ptr -> i32
        %78 = arith.extsi %77 : i32 to i64
        %79 = llvm.getelementptr %1[%78] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %80 = arith.index_cast %67 : index to i32
        %81 = llvm.getelementptr %79[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        llvm.store %80, %81 : i32, !llvm.ptr
        %82 = llvm.load %53 : !llvm.ptr -> i32
        %83 = arith.constant 1 : i32
        %84 = arith.addi %82, %83 : i32
        llvm.store %84, %53 : i32, !llvm.ptr
        cf.br ^bb14
      ^bb13:
        cf.br ^bb14
      ^bb14:
      %85 = arith.addi %67, %59 : index
      cf.br ^bb9(%85 : index)
    ^bb11(%86: index):
    %87 = arith.constant 0 : i32
    %88 = llvm.load %53 : !llvm.ptr -> i32
    %89 = arith.index_cast %87 : i32 to index
    %90 = arith.index_cast %88 : i32 to index
    %92 = arith.constant 1 : index
    %93 = arith.constant -1 : index
    %94 = arith.cmpi sle, %89, %90 : index
    %91 = arith.select %94, %92, %93 : index
    cf.br ^bb15(%89 : index)
    ^bb15(%95: index):
    %96 = arith.cmpi slt, %95, %90 : index
    %97 = arith.cmpi sgt, %95, %90 : index
    %98 = arith.select %94, %96, %97 : i1
    cf.cond_br %98, ^bb16(%95 : index), ^bb17(%95 : index)
    ^bb16(%99: index):
      %100 = llvm.load %53 : !llvm.ptr -> 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 ^bb18(%101 : index)
      ^bb18(%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, ^bb19(%107 : index), ^bb20(%107 : index)
      ^bb19(%111: index):
        %113 = arith.index_cast %99 : index to i64
        %114 = llvm.getelementptr %1[%113] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %112 = llvm.load %114 : !llvm.ptr -> !llvm.struct<(i32, i32, i8)>
        %115 = arith.index_cast %99 : index to i64
        %116 = llvm.getelementptr %1[%115] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %117 = llvm.getelementptr %116[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %118 = llvm.load %117 : !llvm.ptr -> i32
        %120 = arith.index_cast %111 : index to i64
        %121 = llvm.getelementptr %1[%120] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %119 = llvm.load %121 : !llvm.ptr -> !llvm.struct<(i32, i32, i8)>
        %122 = arith.index_cast %111 : index to i64
        %123 = llvm.getelementptr %1[%122] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %124 = llvm.getelementptr %123[0, 1] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %125 = llvm.load %124 : !llvm.ptr -> i32
        %126 = arith.addi %118, %125 : i32
        %127 = arith.cmpi sgt, %126, %0 : i32
        cf.cond_br %127, ^bb21, ^bb22
        ^bb21:
          cf.br ^bb20(%111 : index)
        ^bb22:
          cf.br ^bb23
        ^bb23:
        %128 = arith.constant 1 : i32
        %129 = arith.extsi %126 : i32 to i64
        %130 = llvm.getelementptr %1[%129] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        %131 = arith.trunci %128 : i32 to i8
        %132 = llvm.getelementptr %130[0, 2] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
        llvm.store %131, %132 : i8, !llvm.ptr
        %133 = arith.addi %111, %103 : index
        cf.br ^bb18(%133 : index)
      ^bb20(%134: index):
      %135 = arith.addi %99, %91 : index
      cf.br ^bb15(%135 : index)
    ^bb17(%136: index):
    %137 = arith.constant 0 : i32
    %138 = arith.extsi %137 : i32 to i64
    %139 = llvm.mlir.constant(1 : i64) : i64
    %140 = llvm.alloca %139 x i64 : (i64) -> !llvm.ptr
    llvm.store %138, %140 : i64, !llvm.ptr
    %141 = arith.constant 1 : i32
    %142 = arith.constant 1 : i32
    %143 = arith.addi %0, %142 : i32
    %144 = arith.index_cast %141 : i32 to index
    %145 = arith.index_cast %143 : i32 to index
    %147 = arith.constant 1 : index
    %148 = arith.constant -1 : index
    %149 = arith.cmpi sle, %144, %145 : index
    %146 = arith.select %149, %147, %148 : index
    cf.br ^bb24(%144 : index)
    ^bb24(%150: index):
    %151 = arith.cmpi slt, %150, %145 : index
    %152 = arith.cmpi sgt, %150, %145 : index
    %153 = arith.select %149, %151, %152 : i1
    cf.cond_br %153, ^bb25(%150 : index), ^bb26(%150 : index)
    ^bb25(%154: index):
      %156 = arith.index_cast %154 : index to i64
      %157 = llvm.getelementptr %1[%156] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %155 = llvm.load %157 : !llvm.ptr -> !llvm.struct<(i32, i32, i8)>
      %158 = arith.index_cast %154 : index to i64
      %159 = llvm.getelementptr %1[%158] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %160 = llvm.getelementptr %159[0, 2] : (!llvm.ptr) -> !llvm.ptr, !llvm.struct<(i32, i32, i8)>
      %161 = llvm.load %160 : !llvm.ptr -> i8
      %162 = arith.constant 0 : i32
      %164 = arith.extsi %161 : i8 to i32
      %163 = arith.cmpi eq, %164, %162 : i32
      cf.cond_br %163, ^bb27, ^bb28
      ^bb27:
        %165 = llvm.load %140 : !llvm.ptr -> i64
        %166 = arith.index_cast %154 : index to i64
        %167 = arith.addi %165, %166 : i64
        llvm.store %167, %140 : i64, !llvm.ptr
        cf.br ^bb29
      ^bb28:
        cf.br ^bb29
      ^bb29:
      %168 = arith.addi %154, %146 : index
      cf.br ^bb24(%168 : index)
    ^bb26(%169: index):
    %170 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %171 = llvm.load %140 : !llvm.ptr -> i64
    %172 = llvm.call @printf(%170, %171) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    func.call @free(%1) : (!llvm.ptr) -> ()
    %174 = arith.constant 0 : i32
    func.return %174 : i32
  }
}