Building igl statically and moving to the dep scripts

Fixing dep build script on Windows and removing some warnings.

Use bundled igl by default.

Not building with the dependency scripts if not explicitly stated. This way, it will stay in
Fix the libigl patch to include C source files in header only mode.

src/libigl/igl/lbs_matrix.cpp

@@ -0,0 +1,184 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2014 Alec Jacobson <alecjacobson@gmail.com>
+// 
+// This Source Code Form is subject to the terms of the Mozilla Public License 
+// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
+// obtain one at http://mozilla.org/MPL/2.0/.
+#include "lbs_matrix.h"
+
+IGL_INLINE void igl::lbs_matrix(
+  const Eigen::MatrixXd & V, 
+  const Eigen::MatrixXd & W,
+  Eigen::MatrixXd & M)
+{
+  using namespace Eigen;
+  // Number of dimensions
+  const int dim = V.cols();
+  // Number of model points
+  const int n = V.rows();
+  // Number of skinning transformations/weights
+  const int m = W.cols();
+
+  // Assumes that first n rows of weights correspond to V
+  assert(W.rows() >= n);
+
+  M.resize(n,(dim+1)*m);
+  for(int j = 0;j<m;j++)
+  {
+    VectorXd Wj = W.block(0,j,V.rows(),1);
+    for(int i = 0;i<(dim+1);i++)
+    {
+      if(i<dim)
+      {
+        M.col(i + j*(dim+1)) = 
+          Wj.cwiseProduct(V.col(i));
+      }else
+      {
+        M.col(i + j*(dim+1)).array() = W.block(0,j,V.rows(),1).array();
+      }
+    }
+  }
+}
+
+IGL_INLINE void igl::lbs_matrix_column(
+  const Eigen::MatrixXd & V, 
+  const Eigen::MatrixXd & W,
+  Eigen::SparseMatrix<double>& M)
+{
+  // number of mesh vertices
+  int n = V.rows();
+  assert(n == W.rows());
+  // dimension of mesh
+  int dim = V.cols();
+  // number of handles
+  int m = W.cols();
+
+  M.resize(n*dim,m*dim*(dim+1));
+
+  // loop over coordinates of mesh vertices
+  for(int x = 0; x < dim; x++)
+  {
+    // loop over mesh vertices
+    for(int j = 0; j < n; j++)
+    {
+      // loop over handles
+      for(int i = 0; i < m; i++)
+      {
+        // loop over cols of affine transformations
+        for(int c = 0; c < (dim+1); c++)
+        {
+          double value = W(j,i);
+          if(c<dim)
+          {
+            value *= V(j,c);
+          }
+          M.insert(x*n + j,x*m + c*m*dim + i) = value;
+        }
+      }
+    }
+  }
+
+  M.makeCompressed();
+}
+
+IGL_INLINE void igl::lbs_matrix_column(
+  const Eigen::MatrixXd & V, 
+  const Eigen::MatrixXd & W,
+  Eigen::MatrixXd & M)
+{
+  // number of mesh vertices
+  int n = V.rows();
+  assert(n == W.rows());
+  // dimension of mesh
+  int dim = V.cols();
+  // number of handles
+  int m = W.cols();
+  M.resize(n*dim,m*dim*(dim+1));
+
+  // loop over coordinates of mesh vertices
+  for(int x = 0; x < dim; x++)
+  {
+    // loop over mesh vertices
+    for(int j = 0; j < n; j++)
+    {
+      // loop over handles
+      for(int i = 0; i < m; i++)
+      {
+        // loop over cols of affine transformations
+        for(int c = 0; c < (dim+1); c++)
+        {
+          double value = W(j,i);
+          if(c<dim)
+          {
+            value *= V(j,c);
+          }
+          M(x*n + j,x*m + c*m*dim + i) = value;
+        }
+      }
+    }
+  }
+}
+
+IGL_INLINE void igl::lbs_matrix_column(
+  const Eigen::MatrixXd & V, 
+  const Eigen::MatrixXd & W,
+  const Eigen::MatrixXi & WI,
+  Eigen::SparseMatrix<double>& M)
+{
+  // number of mesh vertices
+  int n = V.rows();
+  assert(n == W.rows());
+  assert(n == WI.rows());
+  // dimension of mesh
+  int dim = V.cols();
+  // number of handles
+  int m = WI.maxCoeff()+1;
+  // max number of influencing handles
+  int k = W.cols();
+  assert(k == WI.cols());
+
+  M.resize(n*dim,m*dim*(dim+1));
+
+  // loop over coordinates of mesh vertices
+  for(int x = 0; x < dim; x++)
+  {
+    // loop over mesh vertices
+    for(int j = 0; j < n; j++)
+    {
+      // loop over handles
+      for(int i = 0; i < k; i++)
+      {
+        // loop over cols of affine transformations
+        for(int c = 0; c < (dim+1); c++)
+        {
+          double value = W(j,i);
+          if(c<dim)
+          {
+            value *= V(j,c);
+          }
+          if(value != 0)
+          {
+            M.insert(x*n + j,x*m + c*m*dim + WI(j,i)) = value;
+          }
+        }
+      }
+    }
+  }
+
+  M.makeCompressed();
+}
+
+
+IGL_INLINE void igl::lbs_matrix_column(
+  const Eigen::MatrixXd & V, 
+  const Eigen::MatrixXd & W,
+  const Eigen::MatrixXi & WI,
+  Eigen::MatrixXd & M)
+{
+  // Cheapskate wrapper
+  using namespace Eigen;
+  SparseMatrix<double> sM;
+  lbs_matrix_column(V,W,WI,sM);
+  M = MatrixXd(sM);
+}