Problem 017

Letters used writing 1..1000 in British English (no spaces/hyphens).

View problem on Project Euler

Performance comparison

Flow source

# Project Euler 017
# Letters used writing 1..1000 in British English (no spaces/hyphens).

function letters_under_100(n: i32) -> i32 {
    # 1..19
    let ones: array<i32, 20> = [
        0, 3, 3, 5, 4, 4, 3, 5, 5, 4,
        3, 6, 6, 8, 8, 7, 7, 9, 8, 8
    ]
    # 20,30,...,90
    let tens: array<i32, 10> = [0, 0, 6, 6, 5, 5, 5, 7, 6, 6]

    if n < 20 {
        return ones[n]
    }
    return tens[n / 10] + ones[n % 10]
}

function letters(n: i32) -> i32 {
    if n == 1000 {
        return 11  # "onethousand"
    }
    let mut total: i32 = 0
    let hundreds: i32 = n / 100
    let rest: i32 = n % 100
    if hundreds > 0 {
        total = total + letters_under_100(hundreds) + 7  # "hundred"
        if rest > 0 {
            total = total + 3  # "and"
        }
    }
    total = total + letters_under_100(rest)
    return total
}

function main() -> i32 {
    let mut total: i64 = 0
    for n in 1..1001 {
        total = total + (letters(n) as i64)
    }
    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; }

int32_t letters_under_100_i32(int32_t n);
int32_t letters_i32(int32_t n);
int32_t main(void);

int32_t letters_under_100_i32(int32_t n) {
    int32_t ones[20] = { 0, 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, 8, 8, 7, 7, 9, 8, 8 };
    int32_t tens[10] = { 0, 0, 6, 6, 5, 5, 5, 7, 6, 6 };
    if (n < 20) {
        return (((unsigned)(n) < 20) ? ones[n] : (fprintf(stderr, "array index %d out of bounds (size %d)\n", (int)(n), 20), flow_fault_handler("array index out of bounds"), ones[0]));
    }
    return ((((unsigned)(FLOW_CHECKED_DIV((n), (10))) < 10) ? tens[FLOW_CHECKED_DIV((n), (10))] : (fprintf(stderr, "array index %d out of bounds (size %d)\n", (int)(FLOW_CHECKED_DIV((n), (10))), 10), flow_fault_handler("array index out of bounds"), tens[0])) + (((unsigned)(FLOW_CHECKED_MOD((n), (10))) < 20) ? ones[FLOW_CHECKED_MOD((n), (10))] : (fprintf(stderr, "array index %d out of bounds (size %d)\n", (int)(FLOW_CHECKED_MOD((n), (10))), 20), flow_fault_handler("array index out of bounds"), ones[0])));
}

int32_t letters_i32(int32_t n) {
    if (n == 1000) {
        return 11;
    }
    int32_t total = 0;
    int32_t hundreds = FLOW_CHECKED_DIV((n), (100));
    int32_t rest = FLOW_CHECKED_MOD((n), (100));
    if (hundreds > 0) {
        total = ((total + letters_under_100_i32(hundreds)) + 7);
        if (rest > 0) {
            total = (total + 3);
        }
    }
    total = (total + letters_under_100_i32(rest));
    return total;
}

int32_t main(void) {
    int64_t total = 0;
    int32_t __flow_step_1 = 1;
    for (int32_t n = 1; (1 <= 1001) ? n < 1001 : n > 1001; n += (1 <= 1001) ? 1 : -1) {
        total = (total + ((int64_t)(letters_i32(n))));
    }
    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 @letters_under_100(%arg0: i32) -> i32 {
    %1 = arith.constant 0 : i32
    %2 = arith.constant 3 : i32
    %3 = arith.constant 3 : i32
    %4 = arith.constant 5 : i32
    %5 = arith.constant 4 : i32
    %6 = arith.constant 4 : i32
    %7 = arith.constant 3 : i32
    %8 = arith.constant 5 : i32
    %9 = arith.constant 5 : i32
    %10 = arith.constant 4 : i32
    %11 = arith.constant 3 : i32
    %12 = arith.constant 6 : i32
    %13 = arith.constant 6 : i32
    %14 = arith.constant 8 : i32
    %15 = arith.constant 8 : i32
    %16 = arith.constant 7 : i32
    %17 = arith.constant 7 : i32
    %18 = arith.constant 9 : i32
    %19 = arith.constant 8 : i32
    %20 = arith.constant 8 : i32
    %21 = llvm.mlir.constant(1 : i64) : i64
    %22 = llvm.alloca %21 x !llvm.array<20 x i32> : (i64) -> !llvm.ptr
    %23 = llvm.mlir.zero : !llvm.array<20 x i32>
    llvm.store %23, %22 : !llvm.array<20 x i32>, !llvm.ptr
    %24 = llvm.mlir.constant(0 : i64) : i64
    %25 = llvm.getelementptr %22[0, %24] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %1, %25 : i32, !llvm.ptr
    %26 = llvm.mlir.constant(1 : i64) : i64
    %27 = llvm.getelementptr %22[0, %26] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %2, %27 : i32, !llvm.ptr
    %28 = llvm.mlir.constant(2 : i64) : i64
    %29 = llvm.getelementptr %22[0, %28] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %3, %29 : i32, !llvm.ptr
    %30 = llvm.mlir.constant(3 : i64) : i64
    %31 = llvm.getelementptr %22[0, %30] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %4, %31 : i32, !llvm.ptr
    %32 = llvm.mlir.constant(4 : i64) : i64
    %33 = llvm.getelementptr %22[0, %32] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %5, %33 : i32, !llvm.ptr
    %34 = llvm.mlir.constant(5 : i64) : i64
    %35 = llvm.getelementptr %22[0, %34] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %6, %35 : i32, !llvm.ptr
    %36 = llvm.mlir.constant(6 : i64) : i64
    %37 = llvm.getelementptr %22[0, %36] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %7, %37 : i32, !llvm.ptr
    %38 = llvm.mlir.constant(7 : i64) : i64
    %39 = llvm.getelementptr %22[0, %38] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %8, %39 : i32, !llvm.ptr
    %40 = llvm.mlir.constant(8 : i64) : i64
    %41 = llvm.getelementptr %22[0, %40] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %9, %41 : i32, !llvm.ptr
    %42 = llvm.mlir.constant(9 : i64) : i64
    %43 = llvm.getelementptr %22[0, %42] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %10, %43 : i32, !llvm.ptr
    %44 = llvm.mlir.constant(10 : i64) : i64
    %45 = llvm.getelementptr %22[0, %44] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %11, %45 : i32, !llvm.ptr
    %46 = llvm.mlir.constant(11 : i64) : i64
    %47 = llvm.getelementptr %22[0, %46] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %12, %47 : i32, !llvm.ptr
    %48 = llvm.mlir.constant(12 : i64) : i64
    %49 = llvm.getelementptr %22[0, %48] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %13, %49 : i32, !llvm.ptr
    %50 = llvm.mlir.constant(13 : i64) : i64
    %51 = llvm.getelementptr %22[0, %50] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %14, %51 : i32, !llvm.ptr
    %52 = llvm.mlir.constant(14 : i64) : i64
    %53 = llvm.getelementptr %22[0, %52] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %15, %53 : i32, !llvm.ptr
    %54 = llvm.mlir.constant(15 : i64) : i64
    %55 = llvm.getelementptr %22[0, %54] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %16, %55 : i32, !llvm.ptr
    %56 = llvm.mlir.constant(16 : i64) : i64
    %57 = llvm.getelementptr %22[0, %56] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %17, %57 : i32, !llvm.ptr
    %58 = llvm.mlir.constant(17 : i64) : i64
    %59 = llvm.getelementptr %22[0, %58] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %18, %59 : i32, !llvm.ptr
    %60 = llvm.mlir.constant(18 : i64) : i64
    %61 = llvm.getelementptr %22[0, %60] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %19, %61 : i32, !llvm.ptr
    %62 = llvm.mlir.constant(19 : i64) : i64
    %63 = llvm.getelementptr %22[0, %62] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    llvm.store %20, %63 : i32, !llvm.ptr
    %65 = arith.constant 0 : i32
    %66 = arith.constant 0 : i32
    %67 = arith.constant 6 : i32
    %68 = arith.constant 6 : i32
    %69 = arith.constant 5 : i32
    %70 = arith.constant 5 : i32
    %71 = arith.constant 5 : i32
    %72 = arith.constant 7 : i32
    %73 = arith.constant 6 : i32
    %74 = arith.constant 6 : i32
    %75 = llvm.mlir.constant(1 : i64) : i64
    %76 = llvm.alloca %75 x !llvm.array<10 x i32> : (i64) -> !llvm.ptr
    %77 = llvm.mlir.zero : !llvm.array<10 x i32>
    llvm.store %77, %76 : !llvm.array<10 x i32>, !llvm.ptr
    %78 = llvm.mlir.constant(0 : i64) : i64
    %79 = llvm.getelementptr %76[0, %78] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %65, %79 : i32, !llvm.ptr
    %80 = llvm.mlir.constant(1 : i64) : i64
    %81 = llvm.getelementptr %76[0, %80] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %66, %81 : i32, !llvm.ptr
    %82 = llvm.mlir.constant(2 : i64) : i64
    %83 = llvm.getelementptr %76[0, %82] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %67, %83 : i32, !llvm.ptr
    %84 = llvm.mlir.constant(3 : i64) : i64
    %85 = llvm.getelementptr %76[0, %84] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %68, %85 : i32, !llvm.ptr
    %86 = llvm.mlir.constant(4 : i64) : i64
    %87 = llvm.getelementptr %76[0, %86] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %69, %87 : i32, !llvm.ptr
    %88 = llvm.mlir.constant(5 : i64) : i64
    %89 = llvm.getelementptr %76[0, %88] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %70, %89 : i32, !llvm.ptr
    %90 = llvm.mlir.constant(6 : i64) : i64
    %91 = llvm.getelementptr %76[0, %90] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %71, %91 : i32, !llvm.ptr
    %92 = llvm.mlir.constant(7 : i64) : i64
    %93 = llvm.getelementptr %76[0, %92] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %72, %93 : i32, !llvm.ptr
    %94 = llvm.mlir.constant(8 : i64) : i64
    %95 = llvm.getelementptr %76[0, %94] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %73, %95 : i32, !llvm.ptr
    %96 = llvm.mlir.constant(9 : i64) : i64
    %97 = llvm.getelementptr %76[0, %96] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    llvm.store %74, %97 : i32, !llvm.ptr
    %98 = arith.constant 20 : i32
    %99 = arith.cmpi slt, %arg0, %98 : i32
    cf.cond_br %99, ^bb0, ^bb1
    ^bb0:
      %101 = arith.extsi %arg0 : i32 to i64
      %102 = llvm.getelementptr %22[0, %101] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
      %100 = llvm.load %102 : !llvm.ptr -> i32
      func.return %100 : i32
    ^bb1:
      cf.br ^bb2
    ^bb2:
    %104 = arith.constant 10 : i32
    %105 = arith.divsi %arg0, %104 : i32
    %106 = arith.extsi %105 : i32 to i64
    %107 = llvm.getelementptr %76[0, %106] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<10 x i32>
    %103 = llvm.load %107 : !llvm.ptr -> i32
    %109 = arith.constant 10 : i32
    %110 = arith.remsi %arg0, %109 : i32
    %111 = arith.extsi %110 : i32 to i64
    %112 = llvm.getelementptr %22[0, %111] : (!llvm.ptr, i64) -> !llvm.ptr, !llvm.array<20 x i32>
    %108 = llvm.load %112 : !llvm.ptr -> i32
    %113 = arith.addi %103, %108 : i32
    func.return %113 : i32
  }
  func.func @letters(%arg0: i32) -> i32 {
    %114 = arith.constant 1000 : i32
    %115 = arith.cmpi eq, %arg0, %114 : i32
    cf.cond_br %115, ^bb3, ^bb4
    ^bb3:
      %116 = arith.constant 11 : i32
      func.return %116 : i32
    ^bb4:
      cf.br ^bb5
    ^bb5:
    %117 = arith.constant 0 : i32
    %118 = llvm.mlir.constant(1 : i64) : i64
    %119 = llvm.alloca %118 x i32 : (i64) -> !llvm.ptr
    llvm.store %117, %119 : i32, !llvm.ptr
    %120 = arith.constant 100 : i32
    %121 = arith.divsi %arg0, %120 : i32
    %122 = arith.constant 100 : i32
    %123 = arith.remsi %arg0, %122 : i32
    %124 = arith.constant 0 : i32
    %125 = arith.cmpi sgt, %121, %124 : i32
    cf.cond_br %125, ^bb6, ^bb7
    ^bb6:
      %126 = llvm.load %119 : !llvm.ptr -> i32
      %127 = func.call @letters_under_100(%121) : (i32) -> i32
      %128 = arith.addi %126, %127 : i32
      %129 = arith.constant 7 : i32
      %130 = arith.addi %128, %129 : i32
      llvm.store %130, %119 : i32, !llvm.ptr
      %131 = arith.constant 0 : i32
      %132 = arith.cmpi sgt, %123, %131 : i32
      cf.cond_br %132, ^bb9, ^bb10
      ^bb9:
        %133 = llvm.load %119 : !llvm.ptr -> i32
        %134 = arith.constant 3 : i32
        %135 = arith.addi %133, %134 : i32
        llvm.store %135, %119 : i32, !llvm.ptr
        cf.br ^bb11
      ^bb10:
        cf.br ^bb11
      ^bb11:
      cf.br ^bb8
    ^bb7:
      cf.br ^bb8
    ^bb8:
    %136 = llvm.load %119 : !llvm.ptr -> i32
    %137 = func.call @letters_under_100(%123) : (i32) -> i32
    %138 = arith.addi %136, %137 : i32
    llvm.store %138, %119 : i32, !llvm.ptr
    %139 = llvm.load %119 : !llvm.ptr -> i32
    func.return %139 : i32
  }
  func.func @main() -> i32 {
    %140 = arith.constant 0 : i32
    %141 = arith.extsi %140 : i32 to i64
    %142 = llvm.mlir.constant(1 : i64) : i64
    %143 = llvm.alloca %142 x i64 : (i64) -> !llvm.ptr
    llvm.store %141, %143 : i64, !llvm.ptr
    %144 = arith.constant 1 : i32
    %145 = arith.constant 1001 : i32
    %146 = arith.index_cast %144 : i32 to index
    %147 = arith.index_cast %145 : i32 to index
    %149 = arith.constant 1 : index
    %150 = arith.constant -1 : index
    %151 = arith.cmpi sle, %146, %147 : index
    %148 = arith.select %151, %149, %150 : index
    cf.br ^bb12(%146 : index)
    ^bb12(%152: index):
    %153 = arith.cmpi slt, %152, %147 : index
    %154 = arith.cmpi sgt, %152, %147 : index
    %155 = arith.select %151, %153, %154 : i1
    cf.cond_br %155, ^bb13(%152 : index), ^bb14(%152 : index)
    ^bb13(%156: index):
      %157 = llvm.load %143 : !llvm.ptr -> i64
      %159 = arith.index_cast %156 : index to i32
      %158 = func.call @letters(%159) : (i32) -> i32
      %160 = arith.extsi %158 : i32 to i64
      %161 = arith.addi %157, %160 : i64
      llvm.store %161, %143 : i64, !llvm.ptr
      %162 = arith.addi %156, %148 : index
      cf.br ^bb12(%162 : index)
    ^bb14(%163: index):
    %164 = llvm.mlir.addressof @str_0 : !llvm.ptr
    %165 = llvm.load %143 : !llvm.ptr -> i64
    %166 = llvm.call @printf(%164, %165) vararg(!llvm.func<i32 (ptr, ...)>) : (!llvm.ptr, i64) -> i32
    %167 = arith.constant 0 : i32
    func.return %167 : i32
  }
}