{"id":13646,"date":"2023-02-25T08:22:41","date_gmt":"2023-02-25T08:22:41","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=13646"},"modified":"2023-05-16T11:50:14","modified_gmt":"2023-05-16T11:50:14","slug":"ceil-function-in-python","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/ceil-function-in-python\/","title":{"rendered":"Ceil Function in Python"},"content":{"rendered":"

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Ceil is a function defined in Python’s math module which takes a numeric input and returns the integer greater than or equal to the input number. It is equivalent to the Least integer function in mathematics.<\/p>\n

What is Ceil Function in Python?<\/h2>\n

The Python math module, which is a part of the Python Standard Library, offers the ceil function. It is equivalent to the mathematical Least Integer Function or Ceil Function.<\/p>\n

If you’re building a program to calculate the interest on a loan and the bank mandates that no such monetary quantities contain fractional amounts of rupees (like paisa) in order to facilitate transactions, then what happens? You choose to round the resultant number off to the next nearest integer keeping in mind that the bank shouldn’t lose money.
\nSo, what method would you use? utilizing Python’s ceil() function<\/p>\n

In mathematical notation, if you’re given a real number x, ceil(x) is depicted using \u2308x\u2309, where the upper direction of the brackets refers to ceiling operation (as the ceiling lies above your head). Inversely, the floor(x) (which returns the greatest integer \u2264 x) is depicted using \u230ax\u230b, where the downward symbol depicts the flooring operation.<\/p>\n

\"\"<\/p>\n

Defining in a piecewise manner, ceil(x) = :<\/p>\n

x, if x \u2208 Z \n\n\u230ax+1\u230b, if x \u2209 Z<\/code><\/pre>\n
What this piecewise formula says is that if the input for the ceil function is an integer, then the greatest integer greater or equal to that number is that number itself. Otherwise, just add one to that number and then floor.<\/p>\n
Ceil function in Python also performs the same way. It returns the smallest integer greater than or equal to the input real number. For example,<\/p>\n
ceil(2.3) = 3\nceil(-1.3) = -1\nceil(3) = 3<\/code><\/pre>\n
Syntax of Ceil Function in Python:<\/h3>\n
Here we have code for ceil function in python<\/p>\n
Import math\nmath.ceil(x)<\/code><\/pre>\n
Here, x is the number or expression for which the lowest integer larger than or equal to it must be calculated. math is the Python math module. Ceil() produces an integer as a result.<\/p>\n
Parameter Values of Ceil Function in Python<\/h3>\n
The ceil function only accepts real numbers (float) or integers as input. If the input parameter is an integer, the ceil function returns the same integer. If the input parameter is a float, the ceil function rounds up float values to the next integer greater than or equal to the input value.<\/p>\n
Some important things to note about the ceil function are:<\/strong><\/p>\n
    \n
  • The value of the ceil function is always an integer.<\/li>\n
  • If the supplied value is already an integer, the ceil function just returns the same number.<\/li>\n
  • If the input parameter is NaN (not a number), the ceil function returns the same value. Regardless of whether the input value is positive or negative infinity, the ceil function produces the same output.<\/li>\n<\/ul>\n
    Example1  of Ceil Function in Python<\/h3>\n
    In this example we have taken a positive float value <\/p>\n\t\t\t\t\t\t