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Tutorial 5 Overflow Structures Call stack and stack frames 1 CS 136 Spring 2020 Tutorial 4 Overflow: Introduction Any variable in C takes up a certain amount of memory (bits). This limits the range of values that can be


  1. Tutorial 5 • Overflow • Structures • Call stack and stack frames 1 CS 136 Spring 2020 Tutorial 4

  2. 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” 2 CS 136 Spring 2020 Tutorial 4

  3. Integer Overflow • A variable of type int allocates 32 bits of memory. • Able to represent negative and positive numbers, so roughly half of this range is negative and roughly half is positive. As an INT it is impossible to represent outside of the range of: − 2 31 − 2147483648 INT_MIN 2 31 − 1 2147483647 INT_MAX which is why we have other data-types 3 CS 136 Spring 2020 Tutorial 4

  4. Practice Problem 1: Checking for overflow • Define the following C function: // will_positive_overflow(a, b) takes non-negative // integers a and b and determines if (a+b) will // overflow. // requires: a, b >= 0 4 CS 136 Spring 2020 Tutorial 4

  5. Structures in Racket vs. C Structures in C are similar to structures in Racket: Racket: C: (struct posn (x y)) struct posn { int x; (define p (posn 1 2)) int y; (define a (posn-x p)) }; (define b (posn-y p)) 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. 5 CS 136 Spring 2020 Tutorial 4

  6. Practice Problem 2: A simple robot Write a program which tracks the movement of Rob the robot. This program reads in commands from I/O: // n INT move the robot north INT // s INT " " " south INT // e INT " " " east INT // w INT " " " west INT The following functions must be written, and are called from main : • move : moves Rob a given distance in a given direction • print_location : outputs the message Rob is at (x,y) 6 CS 136 Spring 2020 Tutorial 4

  7. 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 . 7 CS 136 Spring 2020 Tutorial 4

  8. 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. 8 CS 136 Spring 2020 Tutorial 4

  9. 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; return 0; } 9 CS 136 Spring 2020 Tutorial 4

  10. Example: Draw the call stack 1 int g(void){ int x = 2; 2 return x; 3 4 } 5 6 int f(int x){ int a = g(); 7 return x * a; 8 9 } ========================= 10 main: 11 int main(void){ x: 4 int x = 4; 12 int a = 1; a: 1 13 ⇒ int y = f(x) + a; 14 y: ? return 0; 15 return address: OS 16 } ========================= 10 CS 136 Spring 2020 Tutorial 4

  11. Example: Draw the call stack 1 int g(void){ int x = 2; 2 return x; 3 ======================== 4 } f: 5 6 int f(int x){ x: 4 ⇒ int a = g(); a: ? 7 return x * a; 8 return address: main:14 9 } ========================= 10 main: 11 int main(void){ x: 4 int x = 4; 12 int a = 1; a: 1 13 int y = f(x) + a; 14 y: ? return 0; 15 return address: OS 16 } ========================= 11 CS 136 Spring 2020 Tutorial 4

  12. Example: Draw the call stack ========================= g: 1 int g(void){ x: 2 int x = 2; 2 return address: f:7 ⇒ return x; 3 ========================= 4 } f: 5 6 int f(int x){ x: 4 int a = g(); 7 a: ? return x * a; 8 return address: main:14 9 } ========================= 10 11 int main(void){ main: int x = 4; 12 x: 4 int a = 1; 13 a: 1 int y = f(x) + a; 14 y: ? return 0; 15 return address: OS 16 } ========================= 12 CS 136 Spring 2020 Tutorial 4

  13. Example: Draw the call stack 1 int g(void){ int x = 2; 2 return x; 3 ========================= 4 } f: 5 6 int f(int x){ x: 4 int a = g(); a: 2 7 ⇒ return x * a; 8 return address: main:14 9 } ========================= 10 main: 11 int main(void){ x: 4 int x = 4; 12 int a = 1; a: 1 13 int y = f(x) + a; 14 y: ? return 0; 15 return address: OS 16 } ========================= 13 CS 136 Spring 2020 Tutorial 4

  14. Example: Draw the call stack 1 int g(void){ int x = 2; 2 return x; 3 4 } 5 6 int f(int x){ int a = g(); 7 return x * a; 8 9 } ========================= 10 main: 11 int main(void){ x: 4 int x = 4; 12 int a = 1; a: 1 13 int y = f(x) + a; 14 y: 9 ⇒ return 0; 15 return address: OS 16 } ========================= 14 CS 136 Spring 2020 Tutorial 4

  15. 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). 15 CS 136 Spring 2020 Tutorial 4

  16. For Example: struct posn { int x; int y; }; int f(struct posn bar) { return bar.x + 1; } int main(void) { struct posn foo = {5, 6}; int x = f(foo); return 0; } 16 CS 136 Spring 2020 Tutorial 4

  17. Example: Structures on the call stack 1 struct posn { int x; 2 int y; 3 4 }; 5 6 int f(struct posn bar) { return bar.x + 1; ========================= 7 8 } main: 9 foo: 10 int main(void) { .x = 5 struct posn foo = {5, 6}; 11 .y = 6 ⇒ int x = f(foo); 12 return 0; x: ? 13 14 } return address: OS ========================= 17 CS 136 Spring 2020 Tutorial 4

  18. Example: Structures on the call stack ========================= 1 struct posn { f: int x; 2 bar: int y; 3 .x = 5 4 }; .y = 6 5 6 int f(struct posn bar) { return address: main:12 ⇒ return bar.x + 1; ========================= 7 8 } main: 9 foo: 10 int main(void) { .x = 5 struct posn foo = {5, 6}; 11 .y = 6 int x = f(foo); 12 return 0; x: ? 13 14 } return address: OS ========================= 18 CS 136 Spring 2020 Tutorial 4

  19. Example: Structures on the call stack 1 struct posn { int x; 2 int y; 3 4 }; 5 6 int f(struct posn bar) { return bar.x + 1; ========================= 7 8 } main: 9 foo: 10 int main(void) { .x = 5 struct posn foo = {5, 6}; 11 .y = 6 int x = f(foo); 12 ⇒ return 0; x: 6 13 14 } return address: OS ========================= 19 CS 136 Spring 2020 Tutorial 4

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