Write a C program that finds and prints the machine epsilon for the float and double data types. Also print the values of __FLT_EPSILON__ and __DBL_EPSILON__ defined in float.h. Reminder – the phrase data type tells how the compiler “understands” the ones and zeros you are working with. This identifies whether you are working with integers, letters, real numbers, and so on. Another definition:Machine epsilon is the "distance" between the number 1 and its immediate right neighbor. We work in binary (decimal is in parentheses): 1 + 0,1 = 1,1 (1 + 1/2 = 1,5) 1 + 0,01 = 1,01 (1 + 1/4 = 1,25) 1 + 0,001 = 1,001 (1 + 1/8 = 1,125) then, due to the limited accuracy of the computer at a certain number of decimal places, a situation arises where 1 + 0.0…001 = 1 (instead of the correct 1.0…001). Then the previous number 0.0…01 is called the machine epsilon . It is obvious that its value may be different on different computers. However, the machine epsilon is not the smallest number in a given representation. Tip 1: To find machine epsilon, start by dividing the number by one. However, you don't divide by ten, but by two, because we're working in the binary system! Tip 2: Compare the result with the constants FLT_EPSILON and DBL_EPSILON, (or __FLT_EPSILON__ and __DBL_EPSILON__) defined in float.h.If the calculated values do not suit you, try turning off all optimizations. If possible, try the program on a platform other than Win32/Intel.
Write a C program that finds and prints the machine epsilon for the float and double data types. Also print the values of __FLT_EPSILON__ and __DBL_EPSILON__ defined in float.h. Reminder – the phrase data type tells how the compiler “understands” the ones and zeros you are working with. This identifies whether you are working with integers, letters, real numbers, and so on.
Another definition:
Machine epsilon is the "distance" between the number 1 and its immediate right neighbor.
We work in binary (decimal is in parentheses):
1 + 0,1 = 1,1 (1 + 1/2 = 1,5)
1 + 0,01 = 1,01 (1 + 1/4 = 1,25)
1 + 0,001 = 1,001 (1 + 1/8 = 1,125)
then, due to the limited accuracy of the computer at a certain number of decimal places, a situation arises where 1 + 0.0…001 = 1 (instead of the correct 1.0…001). Then the previous number 0.0…01 is called the machine epsilon . It is obvious that its value may be different on different computers. However, the machine epsilon is not the smallest number in a given representation.
Tip 1: To find machine epsilon, start by dividing the number by one. However, you don't divide by ten, but by two, because we're working in the binary system!
Tip 2: Compare the result with the constants FLT_EPSILON and DBL_EPSILON, (or __FLT_EPSILON__ and __DBL_EPSILON__) defined in float.h.
If the calculated values do not suit you, try turning off all optimizations. If possible, try the program on a platform other than Win32/Intel.
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
