X-Git-Url: https://git.auder.net/?a=blobdiff_plain;f=pkg%2Fsrc%2Ffunctions.c;h=f251eb349fe2be411b05273753ea0b7ebc617ab2;hb=9a6881ed8a16c31a3dbe995e3b1af76c1db6b5a0;hp=0d632d3828216727b97e7cc676496e57ad0e87ec;hpb=cbd88fe5729bf206a784238a2637aa60e697fcdc;p=morpheus.git

diff --git a/pkg/src/functions.c b/pkg/src/functions.c
index 0d632d3..f251eb3 100644
--- a/pkg/src/functions.c
+++ b/pkg/src/functions.c
@@ -1,55 +1,112 @@
 #include <stdlib.h>
 
-//index matrix (by columns)
+// Index matrix (by columns)
 int mi(int i, int j, int d1, int d2)
 {
-	return j*d1+i;
+  return j*d1 + i;
 }
 
-//index 3-tensor (by columns, matrices ordered by last dim)
+// Index 3-tensor (by columns, matrices ordered by last dim)
 int ti(int i, int j, int k, int d1, int d2, int d3)
 {
-	return k*d1*d2 + j*d1 + i;
+  return k*d1*d2 + j*d1 + i;
 }
 
-// Emprical cross-moment of order 2 between X size nxd and Y size n
+// Empirical cross-moment of order 2 between X size nxd and Y size n
 void Moments_M2(double* X, double* Y, int* pn, int* pd, double* M2)
 {
-	int n=*pn, d=*pd;
-	//double* M2 = (double*)calloc(d*d,sizeof(double));
-
-	// M2 = E[Y*X^*2] - E[Y*e^*2] = E[Y (X^*2 - I)]
-	for (int j=0; j<d; j++)
-	{
-		for (int i=0; i<n; i++)
-		{
-			M2[mi(j,j,d,d)] -= Y[i] / n;
-			for (int k=0; k<d; k++)
-				M2[mi(j,k,d,d)] += Y[i] * X[mi(i,j,n,d)]*X[mi(i,k,n,d)] / n;
-		}
-	}
+  int n=*pn, d=*pd;
+  //double* M2 = (double*)calloc(d*d,sizeof(double));
+
+  // M2 = E[Y*X^*2] - E[Y*e^*2] = E[Y (X^*2 - I)]
+  for (int j=0; j<d; j++)
+  {
+    for (int i=0; i<n; i++)
+    {
+      M2[mi(j,j,d,d)] -= Y[i] / n;
+      for (int k=0; k<d; k++)
+        M2[mi(j,k,d,d)] += Y[i] * X[mi(i,j,n,d)]*X[mi(i,k,n,d)] / n;
+    }
+  }
 }
 
-// Emprical cross-moment of order 3 between X size nxd and Y size n
+// Empirical cross-moment of order 3 between X size nxd and Y size n
 void Moments_M3(double* X, double* Y, int* pn, int* pd, double* M3)
 {
-	int n=*pn, d=*pd;
-	//double* M3 = (double*)calloc(d*d*d,sizeof(double));
-
-	// M3 = E[Y*X^*3] - E[Y*e*X*e] - E[Y*e*e*X] - E[Y*X*e*e]
-	for (int j=0; j<d; j++)
-	{
-		for (int k=0; k<d; k++)
-		{
-			for (int i=0; i<n; i++)
-			{
-				double tensor_elt = Y[i]*X[mi(i,k,n,d)] / n;
-				M3[ti(j,k,j,d,d,d)] -= tensor_elt;
-				M3[ti(j,j,k,d,d,d)] -= tensor_elt;
-				M3[ti(k,j,j,d,d,d)] -= tensor_elt;
-				for (int o=0; o<d; o++)
-					M3[ti(j,k,o,d,d,d)] += Y[i] * X[mi(i,j,n,d)]*X[mi(i,k,n,d)]*X[mi(i,o,n,d)] / n;
-			}
-		}
-	}
+  int n=*pn, d=*pd;
+  //double* M3 = (double*)calloc(d*d*d,sizeof(double));
+
+  // M3 = E[Y*X^*3] - E[Y*e*X*e] - E[Y*e*e*X] - E[Y*X*e*e]
+  for (int j=0; j<d; j++)
+  {
+    for (int k=0; k<d; k++)
+    {
+      for (int i=0; i<n; i++)
+      {
+        double tensor_elt = Y[i]*X[mi(i,k,n,d)] / n;
+        M3[ti(j,k,j,d,d,d)] -= tensor_elt;
+        M3[ti(j,j,k,d,d,d)] -= tensor_elt;
+        M3[ti(k,j,j,d,d,d)] -= tensor_elt;
+        for (int o=0; o<d; o++)
+          M3[ti(j,k,o,d,d,d)] += Y[i] * X[mi(i,j,n,d)]*X[mi(i,k,n,d)]*X[mi(i,o,n,d)] / n;
+      }
+    }
+  }
+}
+
+#include <stdio.h>
+
+// W = 1/N sum( t(g(Zi,theta)) g(Zi,theta) )
+// with g(Zi, theta) = i-th contribution to all moments (size dim) - real moments
+void Compute_Omega(double* X, double* Y, double* M, int* pn, int* pd, double* W)
+{
+  int n=*pn, d=*pd;
+  int dim = d + d*d + d*d*d;
+  //double* W = (double*)malloc(dim*dim*sizeof(double));
+
+  // (Re)Initialize W:
+  for (int j=0; j<dim; j++)
+  {
+    for (int k=0; k<dim; k++)
+      W[j*dim+k] = 0.0;
+  }
+  double* g = (double*)malloc(dim*sizeof(double));
+  for (int i=0; i<n; i++)
+  {
+    // g == gi:
+    for (int j=0; j<d; j++)
+      g[j] = Y[i] * X[mi(i,j,n,d)] - M[j];
+    for (int j=d; j<d+(d*d); j++)
+    {
+      int idx1 = (j-d) % d; //num row
+      int idx2 = ((j-d) - idx1) / d; //num col
+      g[j] = 0.0;
+      if (idx1 == idx2)
+        g[j] -= Y[i];
+      g[j] += Y[i] * X[mi(i,idx1,n,d)]*X[mi(i,idx2,n,d)] - M[j];
+    }
+    for (int j=d+d*d; j<dim; j++)
+    {
+      int idx1 = (j-d-d*d) % d; //num row
+      int idx2 = ((j-d-d*d - idx1) / d) %d; //num col
+      int idx3 = (((j-d-d*d - idx1) / d) - idx2) / d; //num "depth"
+      g[j] = 0.0;
+      if (idx1 == idx2)
+        g[j] -= Y[i] * X[mi(i,idx3,n,d)];
+      if (idx1 == idx3)
+        g[j] -= Y[i] * X[mi(i,idx2,n,d)];
+      if (idx2 == idx3)
+        g[j] -= Y[i] * X[mi(i,idx1,n,d)];
+      g[j] += Y[i] * X[mi(i,idx1,n,d)]*X[mi(i,idx2,n,d)]*X[mi(i,idx3,n,d)] - M[j];
+    }
+
+    // TODO: 1/n des gj empirique doit tendre vers 0
+    // Add 1/n t(gi) %*% gi to W
+    for (int j=0; j<dim; j++)
+    {
+      for (int k=0; k<dim; k++)
+        W[j*dim+k] += g[j] * g[k] / n;
+    }
+  }
+  free(g);
 }