/*
* return the smallest of the elements in array x[]
* there are n elements in x[] (x[0].. x[n-1])
* n may be either odd or even
* solve the problem recursively and
* use an "n / 2" type of decomposition
*/
int minRec2(int x[], int n) {
if (n == 1) {
return x[n - 1];
}
else {
int compare1 = minRec2(x, n / 2);
int compare2 = minRec2(x + n / 2, n - (n / 2));
if (compare1 < compare2) {
return compare1;
}
else {
return compare2;
}
}
}
/*
* return the smallest of the elements in array x[]
* there are n elements in x[] (x[0].. x[n-1])
* n may be either odd or even
* solve the problem recursively and
* use an "n / 2" type of decomposition
*/
int minRec2(int x[], int n) {
//Break to recursion, smallest is clearly the only element
if (n < 2) {
return x[0];
}
//Some variables to represent the sizes of new recursions
int sizeA = n / 2;
int sizeB = n - sizeA;
//We do recursion by dividing our array in two
int smallA = minRec2(x, sizeA);
int smallB = minRec2(x+sizeA, sizeB);
//We return the smallest of two halves of an array
if (smallA < smallB) { return smallA; }
else { return smallB; }
}
/*********************************************************************************************************************
minRec2
This function returns the smallest of the elements in an array x[] of n elements (x[0].. x[n-1]) recursively using an
"n / 2" type of decomposition.
*********************************************************************************************************************/
int minRec2(int x[], int n)
{
// Base Case
if (n <= 1)
{
return x[0];
}
// Inductive Step
int leftMin = minRec2(x, n / 2);
int rightMin = minRec2(x + (n / 2), n - (n / 2));
if (leftMin < rightMin)
{
return leftMin;
}
else
{
return rightMin;
}
}
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);
*/
}
