Requires
- module:rat
Members
(static, readonly) CIRCLE :polyrat
z = -1 + x² + y²
Type:
Properties:
| Name | Type | Description |
|---|---|---|
CIRCLE |
- Source:
(static, readonly) FERMAT :polyrat
z = -1 + x³ + y³
Type:
Properties:
| Name | Type | Description |
|---|---|---|
FERMAT |
- Source:
(static, readonly) FOLIUM :polyrat
z = x³ - 3xy + y³
Type:
Properties:
| Name | Type | Description |
|---|---|---|
FOLIUM |
- Source:
(static, readonly) HIPPOPEDE :polyrat
A hippopede
Type:
Properties:
| Name | Type | Description |
|---|---|---|
HIPPOPEDE |
- Source:
(static, readonly) HYPERBOLA :polyrat
z = -1 + xy
Type:
Properties:
| Name | Type | Description |
|---|---|---|
HYPERBOLA |
- Source:
(static, readonly) IDENTITY :polyrat
One, the multiplicative identity
Type:
Properties:
| Name | Type | Description |
|---|---|---|
IDENTITY |
- Source:
(static, readonly) JUMPINGJACK :polyrat
Jumping Jack polynomial
Type:
Properties:
| Name | Type | Description |
|---|---|---|
JUMPINGJACK |
- Source:
(static, readonly) LEMNISCATE :polyrat
Alias for polyrat.LEMNISCATE_BERNOULLI
Type:
- Source:
(static, readonly) LEMNISCATE_BERNOULLI :polyrat
z = -2x² + 2y² + 2x²y² + x^4 + y^4
Type:
Properties:
| Name | Type | Description |
|---|---|---|
LEMNISCATE_BERNOULLI |
- Source:
(static, readonly) LEMNISCATE_GERONO :polyrat
z = -2x² + 2y² + 2x²y² + x^4 + y^4
Type:
Properties:
| Name | Type | Description |
|---|---|---|
LEMNISCATE_GERONO |
- Source:
(static, readonly) LINEAR :polyrat
z = x - y
Type:
Properties:
| Name | Type | Description |
|---|---|---|
LINEAR |
- Source:
(static, readonly) NIRCLE :polyrat
z = 1 + x² + y²
Type:
Properties:
| Name | Type | Description |
|---|---|---|
NIRCLE |
- Source:
(static) ONE
Alias for polyrat.IDENTITY
- Source:
(static, readonly) PARABOLA :polyrat
z = x² - y
Type:
Properties:
| Name | Type | Description |
|---|---|---|
PARABOLA |
- Source:
(static, readonly) PARABOLA_INVERSE :polyrat
z = 1/x² - y
Type:
Properties:
| Name | Type | Description |
|---|---|---|
PARABOLA_INVERSE |
- Source:
(static, readonly) PHI :polyrat
z = -xy - x² - y²
Type:
Properties:
| Name | Type | Description |
|---|---|---|
PHI |
- Source:
(static, readonly) QUARTIC :polyrat
A quartic polynomial
Type:
Properties:
| Name | Type | Description |
|---|---|---|
QUARTIC |
- Source:
(static, readonly) ZERO :polyrat
Zero, the additive identity
Type:
Properties:
| Name | Type | Description |
|---|---|---|
ZERO |
- Source:
Methods
(static) _countDimensions(an, c) → {Integer}
Count the number of dimensions of an array recursively
Parameters:
| Name | Type | Description |
|---|---|---|
an |
polyrat | array to count the dimensions of |
c |
polyrat | (counter used during recursion) |
- Source:
Returns:
number of dimensions
- Type
- Integer
(static) add(out, a, b) → {polyrat}
Adds two polyrats
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | the first operand |
b |
polyrat | the second operand |
- Source:
Returns:
out
- Type
- polyrat
(static) binary_operation(out, a, b, operation) → {polyrat}
Performs a function on each element of the two polyrats, outputting the results to a new polyrat
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | the first operand |
b |
polyrat | the second operand |
operation |
function | to perform |
- Source:
Returns:
out
- Type
- polyrat
(static) countDimensions(a) → {Integer}
Count the number of dimensions of an array
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | number to count the dimensions of |
- Source:
Returns:
number of dimensions
- Type
- Integer
(static) create() → {polyrat}
Creates a new, empty polyrat
- Source:
Returns:
a new polynumber
- Type
- polyrat
(static) derivatives(a) → {Array}
Calculates the derivates of a polynumber
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | polynumber to take the derivatives of |
- Source:
Returns:
array of polyrats, corresponding to the sub-derivatives of the input
- Type
- Array
(static) div()
Alias for polyrat.divide
- Source:
(static) divide(out, a, b) → {polyrat}
Divides two polyrats
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | the first operand |
b |
polyrat | the second operand |
- Source:
Returns:
out
- Type
- polyrat
(static) equals(a, b) → {Bool}
Returns true when the first polyrat is equal to the second
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | the first operand |
b |
polyrat | the second operand |
- Source:
Returns:
true when the two polyrats are equal
- Type
- Bool
(static) evaluate(out, a, array) → {bigrat}
Evaluate a polynomial for a certain variable(s)
Parameters:
| Name | Type | Description |
|---|---|---|
out |
bigrat | the receiving number |
a |
polyrat | the polynumber to evaluate |
array |
Array | of values (of type "bigrat") to plug in to the polynomial |
- Source:
Returns:
resulting big rational number
- Type
- bigrat
(static) forEachNonZeroElement(a, callback)
Calls a function for each non-zero element in the polynumber
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | rational polynumber |
callback |
function | function |
- Source:
(static) fromJSON(JSON) → {polyrat}
Creates a polynumber from it's JSON representation
Parameters:
| Name | Type | Description |
|---|---|---|
JSON |
String | representation of the number |
- Source:
Returns:
a rational polynumber
- Type
- polyrat
(static) fromValues(array) → {polyrat}
Creates a new polynumber initialized with the given array of either integers or rats
Parameters:
| Name | Type | Description |
|---|---|---|
array |
Array | of values (of type "rat" --- not yet) |
- Source:
Returns:
a new polynumber
- Type
- polyrat
(static) getGLSLFormula(a) → {String}
Evaluate a polynomial for a certain variable(s), modified to work in GLSL (to run on GPU)
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | polynumber |
- Source:
Returns:
GLSL formula to evaluate the polynomial
- Type
- String
(static) getJSFormula(a) → {String}
Evaluate a polynomial for a certain variable(s)
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | polynumber |
- Source:
Returns:
javascript formula to evaluate the polynomial
- Type
- String
(static) mergeDimension(out, a, array) → {polyrat}
Add another variable/dimension to a polynumber
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
rat | the first operand |
array |
Array | of values (of type "rat") |
- Source:
Returns:
a new polynumber
- Type
- polyrat
(static) mul()
Alias for polyrat.multiply
- Source:
(static) multiply(out, a, b) → {polyrat}
Multiplies two polyrats
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | the first operand |
b |
polyrat | the second operand |
- Source:
Returns:
out
- Type
- polyrat
(static) normalize(out, a) → {polyrat}
Normalize a polynumber
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | number to normalize |
- Source:
Returns:
out
- Type
- polyrat
(static) str(a) → {String}
Returns a string representation (polynomial format, in ascending order by degree, then alphabetically) -- not yet!
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | rational polynumber to represent as a string |
- Source:
Returns:
string representation of the number
- Type
- String
(static) sub()
Alias for polyrat.subtract
- Source:
(static) subtract(out, a, b) → {polyrat}
Subtracts two polyrats
Parameters:
| Name | Type | Description |
|---|---|---|
out |
polyrat | the receiving number |
a |
polyrat | the first operand |
b |
polyrat | the second operand |
- Source:
Returns:
out
- Type
- polyrat
(static) toJSON(a) → {String}
Returns a string representation (JSON)
Parameters:
| Name | Type | Description |
|---|---|---|
a |
polyrat | rational polynumber to represent as a string |
- Source:
Returns:
JSON representation of the number
- Type
- String