Safe Haskell | None |
---|---|
Language | Haskell98 |
- sprott_tbl_2_1 :: [(Char, Int, Double)]
- sprott_coef :: Char -> Maybe Double
- sprott_coef_err :: Char -> Double
- with_delayed :: Int -> [t] -> [(t, t)]
- quadratic_1 :: Num a => a -> a -> a -> a -> a
- quadratic_1l :: Num a => [a] -> a -> a
- quintic_1 :: Num a => a -> a -> a -> a -> a -> a -> a -> a
- quintic_1l :: Num a => [a] -> a -> a
- general_1l :: Num a => [a] -> Maybe (a -> a)
- quadratic_2 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t) -> (t, t)
- quadratic_2l :: Num t => [t] -> (t, t) -> (t, t)
- cubic_2 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t) -> (t, t)
- cubic_2l :: Num t => [t] -> (t, t) -> (t, t)
- general_2l :: Num t => [t] -> Maybe ((t, t) -> (t, t))
- quadratic_3 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t, t) -> (t, t, t)
- quadratic_3l :: Num t => [t] -> (t, t, t) -> (t, t, t)
- general_3l :: Num t => [t] -> Maybe ((t, t, t) -> (t, t, t))
- sphere_proj :: (Floating t, Ord t) => [(t, t)] -> [(t, t)]
- plot_code_1 :: Int -> Int -> Double -> (Code, Annotation) -> IO ()
- plot_code_2 :: Bool -> Int -> (Double, Double) -> (Code, Annotation) -> IO ()
- plot_code_3 :: Int -> (Double, Double, Double) -> (Code, Annotation) -> IO ()
- type Code = String
- type Annotation = String
- codes_1 :: [(Code, Annotation)]
- codes_2 :: [(Code, Annotation)]
- codes_3 :: [(Code, Annotation)]
- logistic :: Num a => a -> a -> a
- henon :: Num t => t -> t -> (t, t) -> (t, t)
Coding Table
sprott_tbl_2_1 :: [(Char, Int, Double)] Source
Table 2-1. ASCII character set and associated coefficient values (p.28)
sprott_coef :: Char -> Maybe Double Source
Lookup coeffient at sprott_tbl_2_1
.
sprott_coef 'M' == Just 0
sprott_coef_err :: Char -> Double Source
fromJust
of sprott_coef
.
General forms
with_delayed :: Int -> [t] -> [(t, t)] Source
Pair each elements with the element n places further along.
with_delayed 3 [1..9] == [(1,4),(2,5),(3,6),(4,7),(5,8),(6,9)]
quadratic_1 :: Num a => a -> a -> a -> a -> a Source
General one-dimensional quadratic iterated map (Equation 2A, p.25)
quadratic_1l :: Num a => [a] -> a -> a Source
List (l) variant of quadratic_1
.
quintic_1 :: Num a => a -> a -> a -> a -> a -> a -> a -> a Source
General one-dimensional quintic iterated map (Equation 2E, p.41)
quintic_1l :: Num a => [a] -> a -> a Source
List (l) variant of quintic_1
.
general_1l :: Num a => [a] -> Maybe (a -> a) Source
Generalised one-dimensional iterated map.
quadratic_2 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t) -> (t, t) Source
General two-dimensional iterated quadratic map (Equation 3B, p.53)
quadratic_2l :: Num t => [t] -> (t, t) -> (t, t) Source
List (l) variant of quadratic_2
.
cubic_2 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t) -> (t, t) Source
General two-dimensional iterated cubic map (Equation 3F, p.80)
general_2l :: Num t => [t] -> Maybe ((t, t) -> (t, t)) Source
Generalised two-dimensional iterated map.
quadratic_3 :: Num t => t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> t -> (t, t, t) -> (t, t, t) Source
General three-dimensional iterated quadratic map (Equation 4A, p.147)
quadratic_3l :: Num t => [t] -> (t, t, t) -> (t, t, t) Source
List (l) variant of quadratic_3
.
general_3l :: Num t => [t] -> Maybe ((t, t, t) -> (t, t, t)) Source
Generalised three-dimensional iterated map.
Projections
sphere_proj :: (Floating t, Ord t) => [(t, t)] -> [(t, t)] Source
Projection onto sphere (Equation 3G, p.107)
Code Plotting
plot_code_1 :: Int -> Int -> Double -> (Code, Annotation) -> IO () Source
Plot one-dimensional code, m is delay, n is iteration degree, i is initial value.
plot_code_2 :: Bool -> Int -> (Double, Double) -> (Code, Annotation) -> IO () Source
Plot two-dimensional code, n is iteration degree, i is initial value.
plot_code_3 :: Int -> (Double, Double, Double) -> (Code, Annotation) -> IO () Source
Plot three-dimensional code, n is iteration degree, i is initial value.
Co-efficient codes.
A code is a string. The set of book codes are at: http://sprott.physics.wisc.edu/fractals/bookdisk/BOOKFIGS.DIC and there is a further set of codes at: http://sprott.physics.wisc.edu/fractals/bookdisk/SELECTED.DIC
type Annotation = String Source
codes_1 :: [(Code, Annotation)] Source
One-dimensional codes.
plot_code_1 5 12500 0.1 (codes_1 !! 7)
codes_2 :: [(Code, Annotation)] Source
Two-dimensional codes.
plot_code_2 False 25000 (0.1,0) (codes_2 !! 25)
codes_3 :: [(Code, Annotation)] Source
Three-dimensional codes.
plot_code_3 15000 (0.1,0,0) (codes_3 !! 1)