Math Functions: Numbers Calculator
Math Functions: Numbers
The document describes math functions to truncate, round or otherwise transform numbers.
Round, Floor & Ceiling
Round
Calculator
Algebraic: ++round(value; places)++
RPN: ++value [ENT] places [round] ++
Returns the result rounded to the designated places following the standard rounding rules: 0 to 4 rounds down while 5 through 9 rounds up. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
** Details**
- 'value' should be a real number
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Algebraic Examples**
**RPN Examples**
<1234.56 [ENT] 1 [round] displays 1,234.6>
<1234.56 [ENT] -2 [round] displays 1,200>
Template
++round(value)++ : 'value' rounded to 0 decimal places
++round(value; places)++ : 'value' rounded to whole or decimal 'places'
Returns the result rounded to the designated places following the standard rounding rules: 0 to 4 rounds down while 5 through 9 rounds up. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
__Because the value returned has been changed, this function can make solving impossible when used in templates. It is best to use these functions when directly computing results. See [https://.../t/help_equations|Incorporating Multiple Equations, Solving and How Calculating Works] sections.__
**Details**
- 'value' can either be a number or table where the same is returned
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Examples**
Floor
Calculator
Algebraic: ++floor(value; places)++
RPN: ++value [ENT] places [floor] ++
Returns the largest number less than or equal to a given value. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
** Details**
- 'value' should be a real number
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Algebraic Examples**
**RPN Examples**
<23.456 [ENT] 0 [floor] displays 23>
<23.567 [ENT] 0 [floor] displays 23>
<-23.456 [ENT] 0 [floor] displays -24>
<-23.567 [ENT] 0 [floor] displays -24>
<1,234.56 [ENT] 1 [floor] displays 1,234.5>
<1,234.56 [ENT] -2 [floor] displays 1,200>
Template
++floor(value)++ : largest whole number less than or equal to 'value'
++floor(value; places)++ : largest number less than or equal to 'value' at location 'places'
Returns the largest number less than or equal to a given value. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
__Because the value returned has been changed, this function can make solving impossible when used in templates. It is best to use these functions when directly computing results. See [https://.../t/help_equations|Incorporating Multiple Equations, Solving and How Calculating Works] sections.__
**Details**
- 'value' can either be a number or table where the same is returned
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Examples**
Ceiling [ceil]
Calculator
Algebraic: ++ceil(value; places)++
RPN: ++value [ENT] places [ceil] ++
Returns the smallest number greater than or equal to a given value. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
** Details**
- 'value' should be a real number
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Algebraic Examples**
**RPN Examples**
<23.456 [ENT] 0 [ceil] displays 24>
<23.567 [ENT] 0 [ceil] displays 24>
<-23.456 [ENT] 0 [ceil] displays -23>
<-23.567 [ENT] 0 [ceil] displays -23>
<1,234.56 [ENT] 1 [ceil] displays 1,234.6>
<1,234.56 [ENT] -2 [ceil] displays 1,300>
Template
++ ceil(value)++ : smallest whole number greater than or equal to 'value'
++ ceil(value; places)++ : smallest number greater than or equal to 'value' at location 'places'
Returns the smallest number greater than or equal to a given value. This function can either round to the 1st through 10th decimal place by setting 'places' equal to 1 through 10 or to a whole number of places by setting 'places' equal to 0 through -10.
__Because the value returned has been changed, this function can make solving impossible when used in templates. It is best to use these functions when directly computing results. See [https://.../t/help_equations|Incorporating Multiple Equations, Solving and How Calculating Works] sections.__
**Details**
- 'value' can either be a number or table where the same is returned
- 'places' must be a whole number in the range -10 to 10; real numbers will be truncated
- 'places' outside this range will return a "Parameter out of range" calculation error
**Examples**
Absolute Value & Sign
Absolute Value [abs]
++abs(value)++
Absolute value returns the positive result for a given value.
__This function is only available in templates.__
** Details**
- 'value' can either be a number or table where the same is returned
**Examples**
Sign
++sign(value)++
Determines whether a number is positive, negative or equal to 0. Returns -1 if 'value' is less than 0, 0 if 'value' is equal to 0, or 1 if 'value' is greater than 0.
__This function is only available in templates.__
** Details**
- 'value' can either be a number or table where the same is returned
**Examples**
Integer & Fractional Portions of Numbers
Integer Part [ipart]
++ipart(value)++
Returns the integer (or whole) number portion of 'value'.
__This function is only available in templates.__
** Details**
- 'value' can either be a number or table where the same is returned
**Examples**
Fractional Part [fpart]
++fpart(value)++
Returns the fractions (or decimal) portion of 'value'.
__This function is only available in templates.__
** Details**
- 'value' can either be a number or table where the same is returned
**Examples**
Keywords
-------------
Round
round()
Floor
floor()
Ceiling
ceil()
Absolute Value
abs()
Sign
sign()
Integer Part
Integer Portion
ipart()
Fractional Part
Fractional Portion
fpart()
