a-conjecture-of-mine

An exercise on polyglossy: the same problem solved on multiple languages

commit 429c7ad19253c7735431abf0b2cf430b8c99bfcc
parent 30e02981ed1132422f015e690ff4d18dae305b8e
Author: Pablo Escobar Gaviria <gark.garcia@protonmail.com>
Date:   Sat, 11 Jan 2020 17:32:23 -0200

Merge branch 'master' of https://github.com/GarkGarcia/A-Conjecture-of-Mine

Diffstat:
MC++/main.cpp | 3+--
MC/main.c | 33++++++++++++---------------------
AExtra/Wasm/.gitignore | 1+
AExtra/Wasm/main.wasm | 0
AExtra/Wasm/main.wat | 75+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
5 files changed, 89 insertions(+), 23 deletions(-)
diff --git a/C++/main.cpp b/C++/main.cpp
@@ -72,4 +72,4 @@ int main(int argc, char *argv[])
         return SUCCESS;
     }
     else return INVALID_INPUT;
-}-
\ No newline at end of file
+}
diff --git a/C/main.c b/C/main.c
@@ -23,14 +23,14 @@
 
 int err = SUCCESS; // Global error condition
 int *sums_cache;   // Shared memory between threads
+unsigned int max = 0;
 
 // Memory structure to pass arguments to threads using the pthreads library
-struct iter_info
+typedef struct
 {
     int start;
-    int interval;
-    int max;
-};
+    int step;
+} iter_info;
 
 // Find the number of processors on host machine
 int get_num_cores()
@@ -76,10 +76,10 @@ int sum_digits(unsigned n)
     return sum;
 }
 
-int get_counterexpl_iter(struct iter_info *iter)
+int get_counterexpl_iter(iter_info *iter)
 {
-    for (int a = iter->start; a <= iter->max; a += iter->interval)
-        for (int b = a; b <= iter->max; b++)
+    for (int a = iter->start; a <= max; a += iter->step)
+        for (int b = a; b <= max; b++)
         {
             if ((sums_cache[a + b] - (sums_cache[a] + sums_cache[b])) % 9 != 0)
             {
@@ -95,20 +95,12 @@ int main(int argc, char *argv[])
 {
     if (argc > 1)
     {
-        // Check if argv[1] is numeric
-        int i = 0;
-        while (argv[1][i] != '\0')
-        {
-            if (argv[1][i] < '0' || argv[1][i] > '9')
-                return INVALID_INPUT;
-
-            i++;
-        }
+        max = strtoul(argv[1], NULL, 10);
+	if (max <= 0) return INVALID_INPUT;
 
-        unsigned int max = strtoul(argv[1], NULL, 10);
         int n_threads = get_num_cores();
         pthread_t thread_ids[n_threads];
-        struct iter_info thread_iters[n_threads];
+        iter_info thread_iters[n_threads];
 
         // Create the sums cache
         int sums_c = 2 * max;
@@ -121,9 +113,7 @@ int main(int argc, char *argv[])
         // of cores on the host machine
         for (int i = 0; i < n_threads; i++)
         {
-            thread_iters[i].start = i;
-            thread_iters[i].max = max;
-            thread_iters[i].interval = n_threads;
+	    thread_iters[i] = (iter_info){i, n_threads};
             err = pthread_create(&thread_ids[i], NULL, get_counterexpl_iter, &thread_iters[i]);
 
             if (err) fprintf(stderr, "Unable to create thread : %d\n", err);
@@ -139,3 +129,4 @@ int main(int argc, char *argv[])
     }
     else return INVALID_INPUT;
 }
+
diff --git a/Extra/Wasm/.gitignore b/Extra/Wasm/.gitignore
@@ -0,0 +1 @@
+test
diff --git a/Extra/Wasm/main.wasm b/Extra/Wasm/main.wasm
Binary files differ.
diff --git a/Extra/Wasm/main.wat b/Extra/Wasm/main.wat
@@ -0,0 +1,75 @@
+(module
+    ;; Check if the is any counterexample in {(x, y) | 0 <= x <= a, 0 <= y <= x}
+    (func (export "counterexempl") (param $a i32) (result i32)
+        (local $b i32)
+
+        (block $break_0     ;; while a != 0
+	    (loop $while_0
+                (br_if $break_0 (i32.eqz (local.get $a)))				
+	        (local.set $b (local.get $a))                           ;; b = a
+
+    	        (block $break_1                                         ;; while b != 0
+	            (loop $while_1
+		        (br_if $break_1 (i32.eqz (local.get $b)))
+			(if (call $test (local.get $a) (local.get $b))                  ;; if test(a, b)
+                            (block (i32.const 1) (return))                              ;; return 1
+                            (block                                                      ;; else
+			        (local.set $b (i32.sub (local.get $b) (i32.const 1)))   ;; b -= 1
+			        (br $while_1)                                           ;; continue
+                            )
+			)
+     		    )
+                )
+    
+	        (local.set $a (i32.sub (local.get $a) (i32.const 1)))   ;; a -= 1
+	        (br $while_0)                                           ;; continue
+	    )
+        )
+
+        (i32.const 0)   ;; return 0
+    )
+
+    ;; Calculates the sums of the digits of a non-negative integer.
+    (func $sum_digits (param $n i32) (result i32)
+        (local $sum i32)
+        (local.set $sum (i32.const 0))
+
+        (block $break
+	    (loop $while	
+	        ;; Break if n == 0i32
+	        (br_if $break (i32.eqz (local.get $n)))
+		
+	        ;; sum += n % 10
+	        (local.set $sum 
+		    (i32.add
+                        (local.get $sum) 
+		        (i32.rem_u (local.get $n) (i32.const 10))
+		    )
+	        )
+
+	        ;; n /= 10
+	        (local.set $n (i32.div_u (local.get $n) (i32.const 10)))
+
+	        ;; Go to `while`
+	        (br $while)
+	    )
+        )
+
+        (local.get $sum)    ;; return sum
+    )
+
+    ;; Checks if (sum_digits(a + b) - (sum_digits(a) + sum_digits(b))) % 9 != 0
+    (func $test (export "test") (param $a i32) (param $b i32) (result i32) 
+        (i32.ne
+            (i32.const 0) 
+	    (i32.rem_s
+		(i32.sub 
+		    (call $sum_digits (i32.add (local.get $a) (local.get $b)))
+		    (i32.add (call $sum_digits (local.get $a)) (call $sum_digits (local.get $b)))
+		) 
+	        (i32.const 9)
+	    )
+	)
+    )
+)
+