calculus-algorithms v0.0.4
Calculus Algorithms
This library includes various algorithms for calculus.
Currently it's in heavy development and only few are implemented.
Just wait many more algorithms are coming soon!
If you want, you can contribute too!
If you like this library don't forget to start the repository!
calculus-algorithms / Modules
calculus-algorithms
Table of contents
Modules
Module: differentiation
Functions
backwardDiff
▸ backwardDiff(fx, x, h?): number
Remarks
This is a numerical method.
Example
backwardDiff(Math.log, 7)
backwardDiff(func1, 3, 0.0001)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Default value | Description |
|---|---|---|---|
fx | (arg0: number) => number | undefined | Function to differentiate. |
x | number | undefined | Differentiate at this given value. |
h | number | 0.0001 | Optional parameter - step size to use. |
Returns
number
differentiation of given function at given value.
Defined in
differentiation/backwardDividedDifference.ts:22
centralDiff
▸ centralDiff(fx, x, h?): number
Remarks
This is a numerical method.
Example
centralDiff(Math.log, 7)
centralDiff(func1, 3, 0.0001)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Default value | Description |
|---|---|---|---|
fx | (arg0: number) => number | undefined | Function to differentiate. |
x | number | undefined | Differentiate at this given value. |
h | number | 0.0002 | Optional parameter - step size to use. |
Returns
number
differentiation of given function at given value.
Defined in
differentiation/centralDividedDifference.ts:22
differentiate
▸ differentiate(expression): string
Remarks
This is a not a numerical method.
Example
diff("4x^3 - 3x^1 + 2x^2")Parameters
| Name | Type | Description |
|---|---|---|
expression | string | Expression to differentiate. |
Returns
string
differentiation of given expression.
Defined in
differentiation/differentiate.ts:48
forwardDiff
▸ forwardDiff(fx, x, h?): number
Remarks
This is a numerical method.
Example
forwardDiff(Math.log, 7)
forwardDiff(func1, 3, 0.0001)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Default value | Description |
|---|---|---|---|
fx | (arg0: number) => number | undefined | Function to differentiate. |
x | number | undefined | Differentiate at this given value. |
h | number | 0.0001 | Optional parameter - step size to use. |
Returns
number
differentiation of given function at given value.
Defined in
differentiation/forwardDividedDifference.ts:22
Module: integration
Functions
simpsonOneThird
▸ simpsonOneThird(func, lowerLimit, upperLimit): number
Example
simpsonOneThird(Math.log, 4, 5.2)
simpsonOneThird(func1, 0, 1)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Description |
|---|---|---|
func | (arg0: number) => number | Function to integrate |
lowerLimit | number | Lower limit to integrate within. |
upperLimit | number | Upper limit to integrate within. |
Returns
number
integration of given function within given limits.
Defined in
integration/simpsonOneThird.ts:19
simpsonThreeEighth
▸ simpsonThreeEighth(func, lowerLimit, upperLimit): number
Example
simpsonThreeEighth(Math.log, 4, 5.2)
simpsonThreeEighth(func1, 0, 1)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Description |
|---|---|---|
func | (arg0: number) => number | Function to integrate |
lowerLimit | number | Lower limit to integrate within. |
upperLimit | number | Upper limit to integrate within. |
Returns
number
integration of given function within given limits.
Defined in
integration/simpsonThreeEighth.ts:19
trapezoidalRule
▸ trapezoidalRule(func, lowerLimit, upperLimit): number
Example
trapezoidalRule(Math.log, 4, 5.2)
trapezoidalRule(func1, 0, 1)
const func1 = (arg0: number): number => {
return 1 / (1 + arg0 * arg0)
}Parameters
| Name | Type | Description |
|---|---|---|
func | (arg0: number) => number | Function to integrate |
lowerLimit | number | Lower limit to integrate within. |
upperLimit | number | Upper limit to integrate within. |
Returns
number
integration of given function within given limits.