From c4c68eeb17317433bc71113ae7bf57f521081508 Mon Sep 17 00:00:00 2001
From: Alberto Ruiz <aruiz@um.es>
Date: Thu, 12 Jun 2014 14:16:18 +0200
Subject: withCompactSVD, static qr, mTm, unSym

---
 packages/Makefile                    | 12 ++++++++++-
 packages/base/src/Numeric/HMatrix.hs | 41 ++++++++++++++++++++++++++++--------
 2 files changed, 43 insertions(+), 10 deletions(-)

(limited to 'packages')

diff --git a/packages/Makefile b/packages/Makefile
index 9f7a422..e9d8586 100644
--- a/packages/Makefile
+++ b/packages/Makefile
@@ -1,4 +1,4 @@
-pkgs=base gsl special glpk tests ../../hTensor
+pkgs=base gsl special glpk tests ../../hTensor ../../easyVision/packages/base
 
 all:
 	for p in $(pkgs); do \
@@ -10,3 +10,13 @@ all:
 	cabal install --extra-include-dirs=$(MKL) --extra-lib-dirs=$(MKL) \
                   --force-reinstall --enable-documentation ; cd -;
 
+fast:
+	for p in $(pkgs); do \
+	  if [ -e $$p ]; then \
+	    cd $$p; cabal install --force-reinstall ; cd -; \
+	  fi; \
+	done
+	cd sparse; \
+	cabal install --extra-include-dirs=$(MKL) --extra-lib-dirs=$(MKL) \
+                  --force-reinstall; cd -;
+
diff --git a/packages/base/src/Numeric/HMatrix.hs b/packages/base/src/Numeric/HMatrix.hs
index 1b6c1ea..c88918f 100644
--- a/packages/base/src/Numeric/HMatrix.hs
+++ b/packages/base/src/Numeric/HMatrix.hs
@@ -47,21 +47,22 @@ module Numeric.HMatrix(
     -- * Linear Systems
     linSolve, (<\>),
     -- * Factorizations
-    svd, svdTall, svdFlat, Eigen(..),
-    withNullspace,
+    svd, withCompactSVD, svdTall, svdFlat, Eigen(..),
+    withNullspace, qr,
     -- * Misc
     mean,
     Disp(..), Domain(..),
     withVector, withMatrix,
     toRows, toColumns,
-    Sized(..), Diag(..), Sym, sym
+    Sized(..), Diag(..), Sym, sym, mTm, unSym
 ) where
 
 
 import GHC.TypeLits
 import Numeric.LinearAlgebra.HMatrix hiding (
     (<>),(#>),(<·>),Konst(..),diag, disp,(¦),(——),row,col,vector,matrix,linspace,toRows,toColumns,
-    (<\>),fromList,takeDiag,svd,eig,eigSH,eigSH',eigenvalues,eigenvaluesSH,eigenvaluesSH',build)
+    (<\>),fromList,takeDiag,svd,eig,eigSH,eigSH',eigenvalues,eigenvaluesSH,eigenvaluesSH',build,
+    qr)
 import qualified Numeric.LinearAlgebra.HMatrix as LA
 import Data.Proxy(Proxy)
 import Numeric.LinearAlgebra.Static
@@ -280,6 +281,12 @@ newtype Sym n = Sym (Sq n) deriving Show
 sym :: KnownNat n => Sq n -> Sym n
 sym m = Sym $ (m + tr m)/2
 
+mTm :: (KnownNat m, KnownNat n) => L m n -> Sym n
+mTm x = Sym (tr x <> x)
+
+unSym :: Sym n -> Sq n
+unSym (Sym x) = x
+
 
 𝑖 :: Sized ℂ s c => s
 𝑖 = konst iC
@@ -307,7 +314,6 @@ instance KnownNat n => Eigen (Sq n) (C n) (M n n)
 
 --------------------------------------------------------------------------------
 
-
 withNullspace
     :: forall m n z . (KnownNat m, KnownNat n)
     => L m n
@@ -318,6 +324,26 @@ withNullspace (LA.nullspace . extract -> a) f =
        Nothing -> error "static/dynamic mismatch"
        Just (SomeNat (_ :: Proxy k)) -> f (mkL a :: L n k)
 
+
+withCompactSVD
+    :: forall m n z . (KnownNat m, KnownNat n)
+    => L m n
+    -> (forall k . (KnownNat k) => (L m k, R k, L n k) -> z)
+    -> z
+withCompactSVD (LA.compactSVD . extract -> (u,s,v)) f =
+    case someNatVal $ fromIntegral $ size s of
+       Nothing -> error "static/dynamic mismatch"
+       Just (SomeNat (_ :: Proxy k)) -> f (mkL u :: L m k, mkR s :: R k, mkL v :: L n k)
+
+--------------------------------------------------------------------------------
+
+qr :: (KnownNat m, KnownNat n) => L m n -> (L m m, L m n)
+qr (extract -> x) = (mkL q, mkL r)
+  where
+    (q,r) = LA.qr x
+
+-- use qrRaw?
+
 --------------------------------------------------------------------------------
 
 split :: forall p n . (KnownNat p, KnownNat n, p<=n) => R n -> (R p, R (n-p))
@@ -518,7 +544,7 @@ test :: (Bool, IO ())
 test = (ok,info)
   where
     ok =   extract (eye :: Sq 5) == ident 5
-           && unwrap (mTm sm :: Sq 3) == tr ((3><3)[1..]) LA.<> (3><3)[1..]
+           && (unwrap .unSym) (mTm sm :: Sym 3) == tr ((3><3)[1..]) LA.<> (3><3)[1..]
            && unwrap (tm :: L 3 5) == LA.matrix 5 [1..15]
            && thingS == thingD
            && precS == precD
@@ -546,9 +572,6 @@ test = (ok,info)
 
     v = 𝕧 2 & 4 & 7
 
---    mTm :: L n m -> Sq m
-    mTm a = tr a <> a
-
     tm :: GL
     tm = lmat 0 [1..]
 
-- 
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