From 662f1b7c618c655aed03b94c0ae5158de2a1514e Mon Sep 17 00:00:00 2001
From: dajavo <dajavo@taltech.ee>
Date: Thu, 27 Mar 2025 16:23:08 +0200
Subject: [PATCH] Add new file
---
recursive code | 71 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
1 file changed, 71 insertions(+)
create mode 100644 recursive code
diff --git a/recursive code b/recursive code
new file mode 100644
index 0000000..2d25f8e
--- /dev/null
+++ b/recursive code
@@ -0,0 +1,71 @@
+#include <stdio.h>
+#include <math.h>
+#include <stdlib.h>
+
+#define MAX_LAYERS 15
+
+double calculateA(int L, double X);
+void calculateArrayRecursive(double X, double* A, double e, int L, int* numLayers);
+void getInput(double* X, double* e);
+void saveToFile(double* A, int numLayers);
+
+int main() {
+ double X, e, A[MAX_LAYERS];
+ int numLayers = 0;
+
+ getInput(&X, &e);
+ calculateArrayRecursive(X, A, e, 1, &numLayers);
+ saveToFile(A, numLayers);
+
+ return 0;
+}
+
+void getInput(double* X, double* e) {
+ printf("Enter the value of X (|X| < 1): ");
+ scanf("%lf", X);
+
+ printf("Enter the value of e (0 < e < 1): ");
+ scanf("%lf", e);
+
+ if (fabs(*X) >= 1 || *e <= 0 || *e >= 1) {
+ printf("Invalid input! Ensure |X| < 1 and 0 < e < 1.\n");
+ exit(1);
+ }
+}
+
+double calculateA(int L, double X) {
+ double term = 1.0;
+ for (int i = 1; i < L; i++) {
+ term *= (2 * i - 1) / (double)(2 * i);
+ }
+ double A_L = pow(X, 2 * L - 1) * term / (2 * L - 1);
+ A_L *= pow(-1, L + 1);
+ return A_L;
+}
+
+void calculateArrayRecursive(double X, double* A, double e, int L, int* numLayers) {
+ if (L > MAX_LAYERS) return;
+ A[L - 1] = calculateA(L, X);
+ if (L > 1 && fabs(A[L - 1] - A[L - 2]) > e) {
+ printf("Stopping at L = %d because |A_L - A_{L-1}| > e\n", L);
+ return;
+ }
+
+ (*numLayers)++;
+ calculateArrayRecursive(X, A, e, L + 1, numLayers);
+}
+
+void saveToFile(double* A, int numLayers) {
+ FILE *f = fopen("F.txt", "w");
+ if (f == NULL) {
+ printf("Error opening file.\n");
+ exit(1);
+ }
+
+ fprintf(f, "Number of elements: %d\n", numLayers);
+ for (int i = 0; i < numLayers; i++) {
+ fprintf(f, "A%d = %.10lf\n", i + 1, A[i]);
+ }
+ fclose(f);
+ printf("Results saved to F.txt\n");
+}
--
libgit2 0.25.0