Tutorial 5. Overflow. Data Types. Structures. Call stack. Stack frames. Debugging Tips. CS 136 Winter 2019 Tutorial 5 1

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1 Tutorial 5 Overflow Data Types Structures Call stack. Stack frames. Debugging Tips CS 136 Winter 2019 Tutorial 5 1

2 Integer Overflow: Introduction Any variable in C takes up a certain amount of memory (bits). This limits the range of values that can be represented. Any time you try to go past this limit it is called an "overflow." CS 136 Winter 2019 Tutorial 5 2

3 Integer Overflow: Explanation A variable of type int allocates 32 bits of memory. We want to be able to represent negative and positive numbers, so roughly half of this range is negative and roughly half is positive. Using this logic, Integers range from 2 31 to or to This is why we have other data types. CS 136 Winter 2019 Tutorial 5 3

4 Integer Overflow Example The following function can overflow for large values of a and b. // find_mid(low, high): returns the middle integer between // two boundaries, low and high, inclusively // [round down to the whole integer] // Requires: 0 <= low <= high int find_mid(int low, int high) { return (low + high) / 2; } Even though it can never return a number larger than INT_MAX, the result of computing (a + b) is undetermined. Practice: On seashell, implement the find_mid function that would fix the issue above CS 136 Winter 2019 Tutorial 5 4

5 Data Types Variable Type Description Printf int Integer (numbers) %d char Characters %c float Floating Point decimal numbers %f double Double precision floating value %f CS 136 Winter 2019 Tutorial 5 5

6 What is a Structure? Structures are examples of compound data. Compound Data Example: Name: John Doe Date of Birth: Student ID: CS 136 Winter 2019 Tutorial 5 6

7 Structures in Racket vs. C Structures in C are similar to structures in Racket: Racket: (struct posn (x y)) (define p (posn 1 2)) (define a (posn-x p)) (define b (posn-y p)) C: struct posn { int x; int y; }; const struct posn p = {1,2}; const int a = p.x; const int b = p.y; Racket generates selector functions when you define a structure. Instead of selector functions, C has a structure operator (.) which selects the value of the requested field. CS 136 Winter 2019 Tutorial 5 7

8 Practice Problem: Structure Collinear On Seashell, we have given you the structure posn: struct posn { int x; int y; }; Implement the function collinear(a, b, c) which consumes three posn parameters and returns true if a, b and c are collinear, otherwise returns false. CS 136 Winter 2019 Tutorial 5 8

9 Call Stack and Stack Frames Suppose the function main calls f, then f calls g, and g calls h. As the program jumps from function to function, we need to remember the history of the return addresses, as well as all the parameters and local variables. This history is known as the call stack. The entries that are pushed onto the call stack are known as stack frames. CS 136 Winter 2019 Tutorial 5 9

10 Each function call creates a new stack frame that contains the following: // == // <function name>: // <parameter one>: <value> // <parameter two>: <value> //... // <local variable one>: ( <value>??? ) // <local variable two>: ( <value>??? ) //... // return address: <caller function name>:<line> // == If a question asks you to draw the call stack, then for each stack frame pushed onto the call stack you must provide the above. CS 136 Winter 2019 Tutorial 5 10

11 For example: int g(void){ int x = 2; return x; } int f(int x){ int a = g(); return x * a; } int main(void){ int x = 4; int a = 1; int y = f(x) + a; } CS 136 Winter 2019 Tutorial 5 11

12 Example: Draw the call stack 1 int g(void){ 2 int x = 2; 3 return x; 4 } 5 6 int f(int x){ 7 int a = g(); 8 return x * a; 9 } int main(void){ 12 int x = 4; 13 int a = 1; 14 int y = f(x) + a; 15 } main: x: 4 a: 1 y:? return address: OS CS 136 Winter 2019 Tutorial 5 12

13 Example: Draw the call stack 1 int g(void){ 2 int x = 2; 3 return x; 4 } 5 6 int f(int x){ 7 int a = g(); 8 return x * a; 9 } int main(void){ 12 int x = 4; 13 int a = 1; 14 int y = f(x) + a; 15 } ======================== f: x: 4 a:? return address: main:14 main: x: 4 a: 1 y:? return address: OS CS 136 Winter 2019 Tutorial 5 13

14 Example: Draw the call stack 1 int g(void){ 2 int x = 2; 3 return x; 4 } 5 6 int f(int x){ 7 int a = g(); 8 return x * a; 9 } int main(void){ 12 int x = 4; 13 int a = 1; 14 int y = f(x) + a; 15 } g: x: 2 return address: f:7 f: x: 4 a:? return address: main:14 main: x: 4 a: 1 y:? return address: OS CS 136 Winter 2019 Tutorial 5 14

15 Example: Draw the call stack 1 int g(void){ 2 int x = 2; 3 return x; 4 } 5 6 int f(int x){ 7 int a = g(); 8 return x * a; 9 } int main(void){ 12 int x = 4; 13 int a = 1; 14 int y = f(x) + a; 15 } f: x: 4 a: 2 return address: main:14 main: x: 4 a: 1 y:? return address: OS CS 136 Winter 2019 Tutorial 5 15

16 Example: Draw the call stack 1 int g(void){ 2 int x = 2; 3 return x; 4 } 5 6 int f(int x){ 7 int a = g(); 8 return x * a; 9 } int main(void){ 12 int x = 4; 13 int a = 1; 14 int y = f(x) + a; 15 } main: x: 4 a: 1 y: 9 return address: OS CS 136 Winter 2019 Tutorial 5 16

17 Structures on the Stack Structures are just groups of regular variables. Also stored on the stack in the order fields are declared. Passed by value (one reason pointers are useful). CS 136 Winter 2019 Tutorial 5 17

18 For Example: struct foo { int x; int y; }; int baz(struct foo qux) { return qux.x + 1; } int main(void) { struct foo bar = {5, 6}; int x = baz(bar); return 0; } CS 136 Winter 2019 Tutorial 5 18

19 Example: Structures on the call stack 1 struct foo { 2 int x; 3 int y; 4 }; 5 6 int baz(struct foo qux) { 7 return qux.x + 1; 8 } 9 10 int main(void) { 11 struct foo bar = {5, 6}; 12 int x = baz(bar); 13 return 0; 14 } main: bar:.x = 5.y = 6 x:? return address: OS CS 136 Winter 2019 Tutorial 5 19

20 Example: Structures on the call stack 1 struct foo { 2 int x; 3 int y; 4 }; 5 6 int baz(struct foo qux) { 7 return qux.x + 1; 8 } 9 10 int main(void) { 11 struct foo bar = {5, 6}; 12 int x = baz(bar); 13 return 0; 14 } baz: qux:.x = 5.y = 6 return address: main:12 main: bar:.x = 5.y = 6 x:? return address: OS CS 136 Winter 2019 Tutorial 5 20

21 Example: Structures on the call stack 1 struct foo { 2 int x; 3 int y; 4 }; 5 6 int baz(struct foo qux) { 7 return qux.x + 1; 8 } 9 10 int main(void) { 11 struct foo bar = {5, 6}; 12 int x = baz(bar); 13 return 0; 14 } main: bar:.x = 5.y = 6 x: 6 return address: OS CS 136 Winter 2019 Tutorial 5 21

22 Debugging Tips Use trace statements: Print out the values of variables. Print out statements to show control flow. Automate: Write your own tests! Simplify: Comment out parts that aren t a likely cause. Remove components until you isolate the problem. Writing modular code helps immensely. CS 136 Winter 2019 Tutorial 5 22

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