OpenCalcs

Features

This is your guide to creating professional reports with OpenCalcs.

Edit

Our equation editor gives a live pretty-print preview as you type. It also supports syntax highlighting, bracket matching, and function auto-completion. To re-order equations simply drag them. No tedious point-and-click interface here.

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Functions, Syntax, & Symbols

Our calculator-like syntax can be entered quickly with just your keyboard. Parentheses may be used to group operations. Operator precedence is: parentheses, exponents, multiplication & division, addition & subtraction.

Basic Ops.

OpenCalcs supports the four basic mathematical operations: Addition, Subtraction, Multiplication, Division.

Constants

OpenCalcs supports various common (and less common) mathematical constants; simply include one in an equation to reference its precise value.

Trigonometric

OpenCalcs provides extensive support for mathematical functions. Powers, logarithms, trigonometric, hyperbolic, factorials & gamma functions to name a few.

Powers

OpenCalcs provides extensive support for mathematical functions. Powers, logarithms, trigonometric, hyperbolic, factorials & gamma functions to name a few.

Logarithms

OpenCalcs provides extensive support for mathematical functions. Powers, logarithms, trigonometric, hyperbolic, factorials & gamma functions to name a few.

Miscellaneous

OpenCalcs provides extensive support for mathematical functions. Powers, logarithms, trigonometric, hyperbolic, factorials & gamma functions to name a few.

Symbols

Greek letters may be used in variables and equations; their names are automatically converted to the corresponding symbol.

Constructs

OpenCalcs provides support Python language constructs including advanced slicing, if-elif-else conditionals, for loops and while loops, try-except-finally blocks, function definitions, augmented assignments, if-expressions, and list comprehension.

Edit

Parentheses may be used to group operations. Operator precedence is: parentheses, exponents, multiplication & division, addition & subtraction. Greek letters may be used in variables and equations; their names are automatically converted to the corresponding symbol.

Publish

Report

Basic Operations

OpenCalcs supports the four basic mathematical operations: Addition, Subtraction, Multiplication, Division.

Operator	Example	Description
`+`	`1+1` = 2	addition
`-`	`3-2` = 1	subtraction
`*`	`5*2` = 10	multiplication
`/`	`10/2` = 5	division

Constants

Examples

Constants (6 sig. figs.) Constants (12 sig. figs.)

OpenCalcs supports various common (and less common) mathematical constants. Simply include a constant by name in an equation to reference its precise value.

For example, the equation for the circumference of a circle would be entered as: pi*D, where D is diameter and pi is the constant.

Constant	Value	Description
`pi`	3.14159~	`pi`, the area of a unit circle
`degree`	0.0174533~	`(pi / 180)`, one degree of angle
`e`	2.71828~	base of the natural logarithm
`phi`	1.61803~	the golden ratio
`euler`	0.577216~	Euler's constant
`catalan`	0.915966~	Catalan's constant
`apery`	1.20206~	Apery's constant
`khinchin`	2.68545~	Khinchin's constant
`glaisher`	1.28243~	Glaisher's constant
`mertens`	0.261497~	Mertens' constant
`twinprime`	0.660162~	Twin prime constant

Trigonometric

Trigonometric functions
(radian argument)
Function	Description
`cos(x)`	Cosine of argument `x` in radians
`sin(x)`	Sine of argument `x` in radians
`tan(x)`	Tangent of argument `x` in radians
`sec(x)`	Secant of argument `x` in radians
`csc(x)`	Cosecant of argument `x` in radians
`cot(x)`	Cotangent of argument `x` in radians

Trigonometric functions
(degree argument)
Function	Description
`cosd(x)`	Cosine of argument `x` in degrees
`sind(x)`	Sine of argument `x` in degrees
`tand(x)`	Tangent of argument `x` in degrees
`secd(x)`	Secant of argument `x` in degrees
`cscd(x)`	Cosecant of argument `x` in degrees
`cotd(x)`	Cotangent of argument `x` in degrees

Trigonometric functions with modified argument
Function	Description
`cospi(x)`	Computes `cos(pi x)` more accurately than `cos(pi*x)` with argument `x` in radians
`sinpi(x)`	Computes `sin(pi x)` more accurately than `sin(pi*x)` with argument `x` in radians

Inverse Trigonometric functions
(radian result)
Function	Description
`acos(x)`	Return the inverse cosine of `x` in radians
`asin(x)`	Return the inverse sine of `x` in radians
`atan(x)`	Return the inverse tangent of `x` in radians
`atan2(y,x)`	Return the four-quadrant inverse tangent in radians
`asec(x)`	Return the inverse secant of `x` in radians
`acsc(x)`	Return the inverse cosecant of `x` in radians
`acot(x)`	Return the inverse cotangent of `x` in radians

Inverse Trigonometric functions
(degree result)
Function	Description
`acosd(x)`	Return the inverse cosine of `x` in degrees
`asind(x)`	Return the inverse sine of `x` in degrees
`atand(x)`	Return the inverse tangent of `x` in degrees
`atan2d(y,x)`	Return the four-quadrant inverse tangent in degrees
`asecd(x)`	Return the inverse secant of `x` in degrees
`acscd(x)`	Return the inverse cosecant of `x` in degrees
`acotd(x)`	Return the inverse cotangent of `x` in degrees

Hyperbolic Trigonometric functions
(radian argument)
Function	Description
`cosh(x)`	Hyperbolic cosine of argument `x` in radians
`sinh(x)`	Hyperbolic sine of argument `x` in radians
`tanh(x)`	Hyperbolic tangent of argument `x` in radians
`sech(x)`	Hyperbolic secant of argument `x` in radians
`csch(x)`	Hyperbolic cosecant of argument `x` in radians
`coth(x)`	Hyperbolic cotangent of argument `x` in radians

Hyperbolic Trigonometric functions
(degree argument)
Function	Description
`coshd(x)`	Hyperbolic cosine of argument `x` in degrees
`sinhd(x)`	Hyperbolic sine of argument `x` in degrees
`tanhd(x)`	Hyperbolic tangent of argument `x` in degrees
`sechd(x)`	Hyperbolic secant of argument `x` in degrees
`cschd(x)`	Hyperbolic cosecant of argument `x` in degrees
`cothd(x)`	Hyperbolic cotangent of argument `x` in degrees

Inverse Hyperbolic Trigonometric functions
(radian result)
Function	Description
`acosh(x)`	Return the inverse hyperbolic cosine of `x` in radians
`asinh(x)`	Return the inverse hyperbolic sine of `x` in radians
`atanh(x)`	Return the inverse hyperbolic tangent of `x` in radians
`asech(x)`	Return the inverse hyperbolic secant of `x` in radians
`acsch(x)`	Return the inverse hyperbolic cosecant of `x` in radians
`acoth(x)`	Return the inverse hyperbolic cotangent of `x` in radians

Inverse Hyperbolic Trigonometric functions
(degree result)
Function	Description
`acoshd(x)`	Return the inverse hyperbolic cosine of `x` in degrees
`asinhd(x)`	Return the inverse hyperbolic sine of `x` in degrees
`atanhd(x)`	Return the inverse hyperbolic tangent of `x` in degrees
`asechd(x)`	Return the inverse hyperbolic secant of `x` in degrees
`acschd(x)`	Return the inverse hyperbolic cosecant of `x` in degrees
`acothd(x)`	Return the inverse hyperbolic cotangent of `x` in degrees

Degree-radian conversion
Function	Description
`degrees(x)`	Converts the radian angle `x` to a degree angle
`radians(x)`	Converts the degree angle `x` to radians

Power Functions

Nth roots
Function	Description
`sqrt(x)`	Returns the square root of `x`
`hypot(x,y)`	Returns the Euclidean norm, equal to `sqrt(x^2 + y^2)`
`cbrt(x)`	Returns the cube root of `x`
`root(z,n,k=0)`	Computes an `n`-th root of `z` in radians; A specific root may be selected using the optional index k. To obtain all roots with a simple expression, use `root(z,n,k) for k in range(n)`

Exponentials
Function	Description
`exp(x)`	Computes the exponential function `e^x`
`power(x,y)`	Returns x raised to the power y: `x^y`; however, the recommended notation is `x^y` which uses the same function. The exponent `y` is limited to a maximum value of 10000
`expj(x)`	Convenience function for computing `e^(i*x)`
`expjpi(x)`	Convenience function for computing `e^(ipix)`
`expm1(x)`	Computes `e^x−1`, accurately for small `x`
`powm1(x,y)`	Computes `x^y−1`, accurately when `x^y` is very close to 1

Logarithms

Function	Description
`log(x,b=None)`	Computes the base-`b` logarithm of `x`, `log_b(x)`
`ln(x)`	Computes the natural (base `e`) logarithm
`log10(x)`	Computes the base-10 logarithm of `x`, `log_10(x)`
`log1p(x)`	Computes `log(1+x)` accurately for small `x`

Miscellaneous Functions

Function	Description
`abs(x)`	Returns the absolute value of `x`
`agm(x,b=1)`	Returns the arithmetic-geometric mean of `a` and `b`
`ceil(x)`	Returns the smallest integer greater than or equal to x.
`copysign(x, y)`	Returns x with the sign of y
`factorial(x)`	Returns the factorial of x
`floor(x)`	Returns the largest integer less than or equal to x
`fmod(x, y)`	Returns the remainder when x is divided by y
`frexp(x)`	Returns the mantissa and exponent of x as the pair (m, e)
`isinf(x)`	Returns True if x is a positive or negative infinity
`isnan(x)`	Returns True if x is a NaN
`ldexp(x, i)`	Returns x * (2**i)
`max(arg1, arg2, *args)`	Returns the largest element in an iterable or largest of two or more parameters
`min(arg1, arg2, *args)`	Returns the smallest element in an iterable or largest of two or more parameters
`modf(x)`	Returns the fractional and integer parts of x
`trunc(x)`	Returns the truncated integer value of x
`erf(x)`	Returns the error function at x
`erfc(x)`	Returns the complementary error function at x
`gamma(x)`	Returns the Gamma function at x
`loggamma(x)`	Returns the natural logarithm of the absolute value of the Gamma function at x

Symbols

Greek letters may be used in variables and equations; their names are automatically converted to the corresponding symbol.

Greek Letters
Name	Symbol	Name	Symbol
`alpha`	`alpha`
`beta`	`beta`
`gamma`	`gamma`	`Gamma`	`Gamma`
`delta`	`delta`	`Delta`	`Delta`
`epsilon`	`epsilon`
`varepsilon`	`varepsilon`
`zeta`	`zeta`
`eta`	`eta`
`theta`	`theta`	`Theta`	`Theta`
`vartheta`	`vartheta`
`iota`	`iota`
`kappa`	`kappa`
`lambda`	`lambda`	`Lambda`	`Lambda`
`mu`	`mu`
`nu`	`nu`
`xi`	`xi`	`Xi`	`Xi`
`pi`	`pi`	`Pi`	`Pi`
`rho`	`rho`
`sigma`	`sigma`	`Sigma`	`Sigma`
`tau`	`tau`
`upsilon`	`upsilon`
`phi`	`phi`	`Phi`	`Phi`
`varphi`	`varphi`
`chi`	`chi`
`psi`	`psi`	`Psi`	`Psi`
`omega`	`omega`	`Omega`	`Omega`

Operators
Notation	Description	Symbol
`2/3`	fraction, division	`2/3`
`2*3`	multiplication	`2*3`
`2^3`	exponent, superscript	`2^3`
`a_1`	subscript	`a_1`
`abs(x)`	absolute value	`abs(x)`
`floor(x)`	floor	`floor(x)`
`ceil(x)`	ceil	`ceil(x)`
`<`	less than	`<`
`>`	greater than	`>`
`=`	equal	`=`
`!=`	not equal	`!=`
`<=`	less than or equal	`<=`
`>=`	greater than or equal	`>=`

Constructs

OpenCalcs supports many Python language constructs.

Advanced language constructs
Construct	Description
`a[::-1], array[-3:, :, ::2]`	advanced slicing
`if a=1 elif a=2 else a=3`	if-elif-else conditionals
`for x in range(5): print(x)`	for loops, with else
`try-except-finally`	try-except-finally blocks
`def func(x)`	function definitions
`try-except-finally`	try-except-finally blocks
`x += 1`	augmented assignments
`x = a if TEST else b`	if-expressions
`out = [sqrt(i) for i in values]`	list comprehension

Quickstart Guide

Features

Functions, Syntax, & Symbols

Trigonometric functions(radian argument)

Trigonometric functions(degree argument)

Trigonometric functions with modified argument

Inverse Trigonometric functions(radian result)

Inverse Trigonometric functions(degree result)

Hyperbolic Trigonometric functions(radian argument)

Hyperbolic Trigonometric functions(degree argument)

Inverse Hyperbolic Trigonometric functions(radian result)

Inverse Hyperbolic Trigonometric functions(degree result)

Degree-radian conversion

Nth roots

Exponentials

Greek Letters

Operators

Advanced language constructs

Trigonometric functions
(radian argument)

Trigonometric functions
(degree argument)

Inverse Trigonometric functions
(radian result)

Inverse Trigonometric functions
(degree result)

Hyperbolic Trigonometric functions
(radian argument)

Hyperbolic Trigonometric functions
(degree argument)

Inverse Hyperbolic Trigonometric functions
(radian result)

Inverse Hyperbolic Trigonometric functions
(degree result)