diff options
author | Alberto Ruiz <aruiz@um.es> | 2009-11-15 17:42:50 +0000 |
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committer | Alberto Ruiz <aruiz@um.es> | 2009-11-15 17:42:50 +0000 |
commit | ca67378bef1b0e4e76b4421786a846956c47f380 (patch) | |
tree | 07e9079232f1c576e2d4a1cc24b73085b95e33a1 /lib | |
parent | dc39c11d2d2e75428e6394cf8542c8c3ff2cd887 (diff) |
uniformSample
Diffstat (limited to 'lib')
-rw-r--r-- | lib/Data/Packed/Random.hs | 19 | ||||
-rw-r--r-- | lib/Numeric/LinearAlgebra/Tests.hs | 9 |
2 files changed, 25 insertions, 3 deletions
diff --git a/lib/Data/Packed/Random.hs b/lib/Data/Packed/Random.hs index 56d038e..a6145be 100644 --- a/lib/Data/Packed/Random.hs +++ b/lib/Data/Packed/Random.hs | |||
@@ -15,6 +15,7 @@ module Data.Packed.Random ( | |||
15 | RandDist(..), | 15 | RandDist(..), |
16 | randomVector, | 16 | randomVector, |
17 | gaussianSample, | 17 | gaussianSample, |
18 | uniformSample, | ||
18 | meanCov, | 19 | meanCov, |
19 | ) where | 20 | ) where |
20 | 21 | ||
@@ -24,7 +25,7 @@ import Numeric.LinearAlgebra.Algorithms | |||
24 | import Numeric.LinearAlgebra.Instances() | 25 | import Numeric.LinearAlgebra.Instances() |
25 | import Numeric.LinearAlgebra.Interface | 26 | import Numeric.LinearAlgebra.Interface |
26 | 27 | ||
27 | -- | Obtains a matrix whose rows are pseudorandom samples from a multivariante | 28 | -- | Obtains a matrix whose rows are pseudorandom samples from a multivariate |
28 | -- Gaussian distribution. | 29 | -- Gaussian distribution. |
29 | gaussianSample :: Int -- ^ seed | 30 | gaussianSample :: Int -- ^ seed |
30 | -> Int -- ^ number of rows | 31 | -> Int -- ^ number of rows |
@@ -39,6 +40,22 @@ gaussianSample seed n med cov = m where | |||
39 | ds = sqrt (abs l) | 40 | ds = sqrt (abs l) |
40 | m = rs <> (diag ds <> trans v) + meds | 41 | m = rs <> (diag ds <> trans v) + meds |
41 | 42 | ||
43 | -- | Obtains a matrix whose rows are pseudorandom samples from a multivariate | ||
44 | -- uniform distribution. | ||
45 | uniformSample :: Int -- ^ seed | ||
46 | -> Int -- ^ number of rows | ||
47 | -> [(Double,Double)] -- ^ ranges for each column | ||
48 | -> Matrix Double -- ^ result | ||
49 | uniformSample seed n rgs = m where | ||
50 | (as,bs) = unzip rgs | ||
51 | a = fromList as | ||
52 | b = fromList bs | ||
53 | cs = zipWith subtract as bs | ||
54 | d = dim a | ||
55 | dat = toRows $ reshape n $ randomVector seed Uniform (n*d) | ||
56 | am = constant 1 n `outer` a | ||
57 | m = fromColumns (zipWith (.*) cs dat) + am | ||
58 | |||
42 | ------------ utilities ------------------------------- | 59 | ------------ utilities ------------------------------- |
43 | 60 | ||
44 | -- | Compute mean vector and covariance matrix of the rows of a matrix. | 61 | -- | Compute mean vector and covariance matrix of the rows of a matrix. |
diff --git a/lib/Numeric/LinearAlgebra/Tests.hs b/lib/Numeric/LinearAlgebra/Tests.hs index 097756e..4495396 100644 --- a/lib/Numeric/LinearAlgebra/Tests.hs +++ b/lib/Numeric/LinearAlgebra/Tests.hs | |||
@@ -131,7 +131,7 @@ rootFindingTest = TestList [ utest "root Hybrids" (fst sol1 ~~ [1,1]) | |||
131 | 131 | ||
132 | --------------------------------------------------------------------- | 132 | --------------------------------------------------------------------- |
133 | 133 | ||
134 | randomTest = c :~1~: snd (meanCov dat) where | 134 | randomTestGaussian = c :~1~: snd (meanCov dat) where |
135 | a = (3><3) [1,2,3, | 135 | a = (3><3) [1,2,3, |
136 | 2,4,0, | 136 | 2,4,0, |
137 | -2,2,1] | 137 | -2,2,1] |
@@ -139,6 +139,10 @@ randomTest = c :~1~: snd (meanCov dat) where | |||
139 | c = a <> trans a | 139 | c = a <> trans a |
140 | dat = gaussianSample 7 (10^6) m c | 140 | dat = gaussianSample 7 (10^6) m c |
141 | 141 | ||
142 | randomTestUniform = c :~1~: snd (meanCov dat) where | ||
143 | c = diag $ 3 |> map ((/12).(^2)) [1,2,3] | ||
144 | dat = uniformSample 7 (10^6) [(0,1),(1,3),(3,6)] | ||
145 | |||
142 | --------------------------------------------------------------------- | 146 | --------------------------------------------------------------------- |
143 | 147 | ||
144 | rot :: Double -> Matrix Double | 148 | rot :: Double -> Matrix Double |
@@ -237,7 +241,8 @@ runTests n = do | |||
237 | , utest "polySolve" (polySolveProp [1,2,3,4]) | 241 | , utest "polySolve" (polySolveProp [1,2,3,4]) |
238 | , minimizationTest | 242 | , minimizationTest |
239 | , rootFindingTest | 243 | , rootFindingTest |
240 | , utest "random" randomTest | 244 | , utest "randomGaussian" randomTestGaussian |
245 | , utest "randomUniform" randomTestUniform | ||
241 | ] | 246 | ] |
242 | return () | 247 | return () |
243 | 248 | ||