/* return the smallest of the elements in array x[] * there are n elements in x[] (x[0].. x[n-1]) * solve the problem recursively and * use an "n-1" type of decomposition */ int minRec1(int x[], int n) { //We break the recursion when we only check the first element if (n == 1) {return x[0];} //Get smallest element from the n-1 matrix int smallest = minRec1(x, n - 1); //If our current number is smaller than the previous smallest value return that if (x[n - 1] < smallest) { return x[n - 1]; } //Else, return our original smallest else {return smallest;} }
/********************************************************************************************************************* minRec1 This function returns the smallest of the elements in an array x[] of n elements (x[0].. x[n-1]) recursively using an "n - 1" type decomposition. *********************************************************************************************************************/ int minRec1(int x[], int n) { // Base Case: Array of 1 or less if (n <= 1) { return x[0]; } // Inductive Step int recResult = minRec1(x, n - 1); if (x[n - 1] < recResult) { return x[n - 1]; } else { return recResult; } }
/* return the smallest of the elements in array x[] * there are n elements in x[] (x[0].. x[n-1]) * solve the problem recursively and * use an "n-1" type of decomposition */ int minRec1(int x[], int n) { if (n == 0) { assert("Error"); } if (n == 1) { return x[n - 1]; } else { int compare1 = x[n - 1]; int compare2 = minRec1(x, n - 1); if (compare1 < compare2) { return compare1; } else { return compare2; } } }
int main(void) { const int magic_number = 13017; /* test min */ int a[] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }; printf("the smallest of the first 10 natural numbers is: %d\n", minIt(a, 10)); printf("the smallest of the first 10 natural numbers is: %d\n", minRec1(a, 10)); printf("the smallest of the first 10 natural numbers is: %d\n", minRec2(a, 10)); a[3] = -1; printf("now the smallest is %d\n", minIt(a, 10)); printf("now the smallest is %d\n", minRec1(a, 10)); printf("now the smallest is %d\n", minRec2(a, 10)); /* test sqrt */ printf("the sqrt of 25 is %g\n", sqrtIt(25.0, 0, 25.0)); printf("the sqrt of 26 is %g\n", sqrtIt(26.0, 0, 26.0)); printf("the sqrt of 2 is %g\n", sqrtIt(2.0, 0, 2.0)); printf("the sqrt of 25 is %g\n", sqrtRec(25.0, 0, 25.0)); printf("the sqrt of 26 is %g\n", sqrtRec(26.0, 0, 26.0)); printf("the sqrt of 2 is %g\n", sqrtRec(2.0, 0, 2.0)); /* test strCompare */ char* s1; char* s2; s1 = "apple"; s2 = "apricot"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "Apple"; s2 = "apple"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "baby boy"; s2 = "banana"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "a rather silly string"; s2 = "a rather silly string"; if (strCompare(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "12345"; s2 = "12345"; if (strCompare(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "Numbers: 12345"; s2 = "12345"; if (strCompare(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } s1 = "Texas"; s2 = "California"; if (strCompare(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } /* test strCompare2 */ s1 = "apple"; s2 = "Apricot"; if (strCompare2(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "Batman!"; s2 = "bat man"; if (strCompare2(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "OMG, WTF?"; s2 = "oh my goodness, what the heck?"; if (strCompare2(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } /* test maze */ srand(magic_number); makeMaze(); recodeMaze(); printf("recursive solution to the maze\n"); printMaze(); solveMazeRec(0, start_col); printMaze(); printf("\n\n\n"); printf("iterative solution to the maze\n"); srand(magic_number); makeMaze(); recodeMaze(); printMaze(); solveMazeIt(0, start_col); printMaze(); /* test Martian */ Martian change1 = changeIt(15); printf("change 1 should be 0d, 3n, 0p and is: %dd %dn %dp\n", change1.dodeks, change1.nicks, change1.pennies); Martian change2 = changeIt(0); printf("change 2 should be 0d, 0n, 0p and is: %dd %dn %dp\n", change2.dodeks, change2.nicks, change2.pennies); Martian change3 = changeIt(17); printf("change 3 should be 1d, 1n, 0p and is: %dd %dn %dp\n", change3.dodeks, change3.nicks, change3.pennies); Martian change4 = changeIt(25); printf("change 4 should be 2d, 0n, 1p and is: %dd %dn %dp\n", change4.dodeks, change4.nicks, change4.pennies); /* A very simple and obvious test of the general form of Martian * be sure and test your solution more thoroughly!!!! */ change4 = changeIt(25, 5, 12); printf("change 4 should be 2d, 0n, 1p and is: %dd %dn %dp\n", change4.dodeks, change4.nicks, change4.pennies); }
int main(void) { const int magic_number = time(NULL); /* test min */ int a[] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }; // printf("the smallest of the first 10 natural numbers is: %d\n", minIt(a, 10)); printf("the smallest of the first 10 natural numbers is: %d\n", minRec1(a, 10)); printf("the smallest of the first 10 natural numbers is: %d\n", minRec2(a, 10)); a[3] = -1; // printf("now the smallest is %d\n", minIt(a, 10)); printf("now the smallest is %d\n", minRec1(a, 10)); printf("now the smallest is %d\n", minRec2(a, 10)); /* test sqrt */ // printf("the sqrt of 25 is %g\n", sqrtIt(25.0, 0, 25.0)); // printf("the sqrt of 26 is %g\n", sqrtIt(26.0, 0, 26.0)); // printf("the sqrt of 2 is %g\n", sqrtIt(2.0, 0, 2.0)); // printf("the sqrt of 25 is %g\n", sqrtRec(25.0, 0, 25.0)); // printf("the sqrt of 26 is %g\n", sqrtRec(26.0, 0, 26.0)); // printf("the sqrt of 2 is %g\n", sqrtRec(2.0, 0, 2.0)); //printf("sqrt of 2e60 is %.17g\n", sqrtRec(2.0 * pow10(60), 1.4142135623731, 1.5 * pow10(30))); /* test strCompare */ char* s1; char* s2; s1 = "apple"; s2 = "apricot"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "Apple"; s2 = "apple"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "baby boy"; s2 = "banana"; if (strCompare(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "a rather silly string"; s2 = "a rather silly string"; if (strCompare(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "12345"; s2 = "12345"; if (strCompare(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "Numbers: 12345"; s2 = "12345"; if (strCompare(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } s1 = "Texas"; s2 = "California"; if (strCompare(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } /* test strCompare2 */ s1 = "apple"; s2 = "Apricot"; if (strCompare2(s1, s2) < 0) { printf("\"%s\" is less than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be less than \"%s\"\n", s1, s2); } s1 = "Batman!"; s2 = "bat man"; if (strCompare2(s1, s2) == 0) { printf("\"%s\" is equal to \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be equal to \"%s\"\n", s1, s2); } s1 = "OMG, WTF?"; s2 = "oh my goodness, what the heck?"; if (strCompare2(s1, s2) > 0) { printf("\"%s\" is greater than \"%s\", very good\n", s1, s2); } else { printf("oops, \"%s\" should be greater than \"%s\"\n", s1, s2); } printf("********************************************\n"); s1 = "!79857#*#*b*&atm#@@an 989^"; s2 = " b a t m a ! n"; if (strCompare2(s1, s2) == 0) { printf("Good\n"); } else { printf("Bad\n"); } s1 = "CAPITAL LETTERS DON'T MATTER FOR STRCOMPARE2"; s2 = "capital letters don't matter for strcompare2"; if (strCompare2(s1, s2) == 0) { printf("Good\n"); } else { printf("Bad\n"); } s1 = "asdf ASDF jkl JKL a *&@#^&^#"; s2 = "asdf ASDF jkl JKL b *&@#^&^#"; if (strCompare2(s1, s2) == -1) { printf("Good\n"); } else { printf("Bad\n"); } printf("Strong test case:\n"); s1 = "strongg"; s2 = "strong"; printf("%d\n", strCompare(s1, s2)); printf("%d\n", strCompare2(s1, s2)); /* test maze */ srand(magic_number); makeMaze(); recodeMaze(); printf("recursive solution to the maze\n"); fflush(stdout); solveMazeRec(0, start_col); printMaze(); printf("\n\n\n"); // printf("iterative solution to the maze\n"); // srand(magic_number); // makeMaze(); // recodeMaze(); // solveMazeIt(0, start_col); // printMaze(); /* printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); // for (double j = 3; j < 2e3; j+= 2) { // printf("the sqrt of %g is %g expected: %g\n", j, sqrtRec(j, 0, 9000), sqrt(j)); // double_equals(sqrtRec(j, 0, 9000), sqrt(j)); // } printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); //printf("%.17g\n", sqrtRec(27.0, 0.0, 50.0)); */ /* test Martian */ /* Martian change1 = change(15); printf("change 1 should be 0d, 3n, 0p and is: %dd %dn %dp\n", change1.dodeks, change1.nicks, change1.pennies); int c = 0; int d = 0; int n = 0; int p = 0; int i = 0; int iterate = 20; FILE *fp; fp = fopen("output.txt", "r"); while (!feof(fp) && i < iterate) { change1 = change(i); fscanf(fp, "%d", &c); fscanf(fp, "%d", &d); fscanf(fp, "%d", &n); fscanf(fp, "%d", &p); printf("change: %d %d %d %d\n", i ,change1.dodeks, change1.nicks, change1.pennies); printf("python: %d %d %d %d\n", c, d, n, p); assert(change1.pennies == p); assert(change1.nicks == n); assert(change1.dodeks == d); i++; } fclose(fp); Martian change2 = change(0); printf("change 2 should be 0d, 0n, 0p and is: %dd %dn %dp\n", change2.dodeks, change2.nicks, change2.pennies); Martian change3 = change(17); printf("change 3 should be 1d, 1n, 0p and is: %dd %dn %dp\n", change3.dodeks, change3.nicks, change3.pennies); Martian change4 = change(25); printf("change 4 should be 2d, 0n, 1p and is: %dd %dn %dp\n", change4.dodeks, change4.nicks, change4.pennies); */ //************************************************* PERSONAL TESTS *****************************************************// Martian change5 = change(16); printf("change 5 should be 0d, 3n, 1p and is: %dd %dn %dp\n", change5.dodeks, change5.nicks, change5.pennies); /* A very simple and obvious test of the general form of Martian * be sure and test your solution more thoroughly!!!! */ Martian change6 = change(25, 5, 12); printf("change 6 should be 2d, 0n, 1p and is: %dd %dn %dp\n", change6.dodeks, change6.nicks, change6.pennies); Martian change7 = change(16, 5, 12); printf("change 7 should be 0d, 3n, 1p and is: %dd %dn %dp\n", change7.dodeks, change7.nicks, change7.pennies); Martian change8 = change(20, 5, 10); printf("change 8 should be 2d, 0n, 0p and is: %dd %dn %dp\n", change8.dodeks, change8.nicks, change8.pennies); Martian change9 = change(21, 5, 10); printf("change 9 should be 2d, 0n, 1p and is: %dd %dn %dp\n", change9.dodeks, change9.nicks, change9.pennies); /* printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); n = 5; int z[] = {0, 0, 0, 0, 0}; printf("Min of z: %d\n", minRec1(z, n)); printf("Min of z: %d\n", minRec2(z, n)); int oi[] = {-5, 0, 0, 0, -4}; printf("Min of oi: %d\n", minRec1(oi, n)); printf("Min of oi: %d\n", minRec2(oi, n)); int koi[] = {-5, -234, -2525, 2, 4}; printf("Min of koi: %d\n", minRec1(koi, n)); printf("Min of koi: %d\n", minRec2(koi, n)); char* str1 = "Genji"; char* str2 = "GENJI"; printf("%d\n", strCompare(str1, str2)); printf("%d\n", strCompare2(str1, str2)); str1 = " hehe xD"; str2 = "hehe xD"; printf("%d\n", strCompare(str1, str2)); printf("%d\n", strCompare2(str1, str2)); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); printf("\n"); Martian change45 = change(28); printf("%dd %dn %dp\n", change45.dodeks, change45.nicks, change45.pennies); */ }