diff --git a/.travis.yml b/.travis.yml
index f53ea49074..01bb2f8ab1 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -27,743 +27,753 @@ matrix:
     - env: BOGUS_JOB=true
 
   include:
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-6
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-5
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-5
-            - libgmp-dev
-            - libmpfr-dev
-            - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=misc
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    - os: linux
+      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-5
+            - g++-6
             - libgmp-dev
             - libmpfr-dev
             - libfftw3-dev
+            - libeigen3-dev
           sources:
             - ubuntu-toolchain-r-test
 
     - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=quadrature
+      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-5
+            - g++-6
             - libgmp-dev
             - libmpfr-dev
             - libfftw3-dev
+            - libeigen3-dev
           sources:
             - ubuntu-toolchain-r-test
 
     - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=float128_tests
+      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-5
+            - g++-6
             - libgmp-dev
             - libmpfr-dev
             - libfftw3-dev
+            - libeigen3-dev
           sources:
             - ubuntu-toolchain-r-test
 
     - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=../example//examples
+      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-5
+            - g++-6
             - libgmp-dev
             - libmpfr-dev
             - libfftw3-dev
+            - libeigen3-dev
           sources:
             - ubuntu-toolchain-r-test
 
     - os: linux
-      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=../tools
+      env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-5
+            - g++-6
             - libgmp-dev
             - libmpfr-dev
             - libfftw3-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=misc
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - g++-8
-            - libgmp-dev
-            - libmpfr-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=misc
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=float128_tests
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=../tools
+            - libeigen3-dev
+          sources:
+            - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++03 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++11 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++14 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=gnu++14 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-6 CXXSTD=c++1z TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-6
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=misc
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    - os: linux
+      env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
-            - g++-8
+            - g++-5
             - libgmp-dev
             - libmpfr-dev
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=special_fun
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
-
-    - os: linux
-      dist: trusty
-      compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
+            - libfftw3-dev
+            - libeigen3-dev
+          sources:
+            - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   env: TOOLSET=gcc COMPILER=g++-5 CXXSTD=c++14 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-5
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #         - libfftw3-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=misc
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
 
     - os: linux
       dist: trusty
       compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=float128_tests
+      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
             - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
+            - libeigen3-dev
+          sources:
+            - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=c++14 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=misc
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
 
     - os: linux
       dist: trusty
       compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=../example//examples
+      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
             - g++-8
-          sources:
-            - ubuntu-toolchain-r-test
+            - libeigen3-dev
+          sources:
+            - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++03 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
 
     - os: linux
       dist: trusty
       compiler: g++-8
-      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=../tools
+      env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
             - g++-8
-            - libgmp-dev
-            - libmpfr-dev
-          sources:
-            - ubuntu-toolchain-r-test
+            - libeigen3-dev
+          sources:
+            - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=float128_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   dist: trusty
+    #   compiler: g++-8
+    #   env: TOOLSET=gcc COMPILER=g++-8 CXXSTD=gnu++17 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - g++-8
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+
+    # - os: linux
+    #   compiler: clang++-6.0
+    #   env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=special_fun
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - clang-6.0
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+    #         - llvm-toolchain-xenial-6.0
+
+    # - os: linux
+    #   compiler: clang++-6.0
+    #   env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=distribution_tests
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - clang-6.0
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+    #         - llvm-toolchain-xenial-6.0
+
+    # - os: linux
+    #   compiler: clang++-6.0
+    #   env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=misc
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - clang-6.0
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+    #         - llvm-toolchain-xenial-6.0
 
     - os: linux
       compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=special_fun
+      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE="quadrature include=/usr/include/eigen3"
       addons:
         apt:
           packages:
             - clang-6.0
+            - libeigen3-dev
           sources:
             - ubuntu-toolchain-r-test
             - llvm-toolchain-xenial-6.0
 
-    - os: linux
-      compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=distribution_tests
-      addons:
-        apt:
-          packages:
-            - clang-6.0
-          sources:
-            - ubuntu-toolchain-r-test
-            - llvm-toolchain-xenial-6.0
-
-    - os: linux
-      compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=misc
-      addons:
-        apt:
-          packages:
-            - clang-6.0
-          sources:
-            - ubuntu-toolchain-r-test
-            - llvm-toolchain-xenial-6.0
-
-    - os: linux
-      compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=quadrature
-      addons:
-        apt:
-          packages:
-            - clang-6.0
-          sources:
-            - ubuntu-toolchain-r-test
-            - llvm-toolchain-xenial-6.0
-
-    - os: linux
-      compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=../example//examples
-      addons:
-        apt:
-          packages:
-            - clang-6.0
-          sources:
-            - ubuntu-toolchain-r-test
-            - llvm-toolchain-xenial-6.0
-
-    - os: linux
-      compiler: clang++-6.0
-      env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=../tools
-      addons:
-        apt:
-          packages:
-            - clang-6.0
-            - libgmp-dev
-            - libmpfr-dev
-          sources:
-            - ubuntu-toolchain-r-test
-            - llvm-toolchain-xenial-6.0
-
-    - os: osx
-      env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=special_fun
-      osx_image: xcode11
-
-    - os: osx
-      env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=distribution_tests
-      osx_image: xcode11
-
-    - os: osx
-      env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=misc
-      osx_image: xcode11
+    # - os: linux
+    #   compiler: clang++-6.0
+    #   env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=../example//examples
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - clang-6.0
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+    #         - llvm-toolchain-xenial-6.0
+
+    # - os: linux
+    #   compiler: clang++-6.0
+    #   env: TOOLSET=clang COMPILER=clang++-6.0 CXXSTD=c++11 TEST_SUITE=../tools
+    #   addons:
+    #     apt:
+    #       packages:
+    #         - clang-6.0
+    #         - libgmp-dev
+    #         - libmpfr-dev
+    #       sources:
+    #         - ubuntu-toolchain-r-test
+    #         - llvm-toolchain-xenial-6.0
+
+    # - os: osx
+    #   env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=special_fun
+    #   osx_image: xcode11
+
+    # - os: osx
+    #   env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=distribution_tests
+    #   osx_image: xcode11
+
+    # - os: osx
+    #   env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=misc
+    #   osx_image: xcode11
 
     - os: osx
       env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=quadrature
       osx_image: xcode11
 
-    - os: osx
-      env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=float128_tests
-      osx_image: xcode11
+    # - os: osx
+    #   env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=float128_tests
+    #   osx_image: xcode11
 
-    - os: osx
-      env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=../example//examples
-      osx_image: xcode11
+    # - os: osx
+    #   env: TOOLSET=clang COMPILER=clang++ CXXSTD=c++14 TEST_SUITE=../example//examples
+    #   osx_image: xcode11
 
 
 install:
diff --git a/include/boost/math/differentiation/autodiff_eigen.hpp b/include/boost/math/differentiation/autodiff_eigen.hpp
new file mode 100644
index 0000000000..1c7c44f977
--- /dev/null
+++ b/include/boost/math/differentiation/autodiff_eigen.hpp
@@ -0,0 +1,59 @@
+#ifndef BOOST_MATH_DIFFERENTIATION_AUTODIFF_EIGEN_HPP
+#define BOOST_MATH_DIFFERENTIATION_AUTODIFF_EIGEN_HPP
+
+#include <Eigen/Core>
+#include <boost/math/differentiation/autodiff.hpp>
+
+namespace Eigen {
+template <typename RealType, size_t Order>
+struct NumTraits<boost::math::differentiation::autodiff_v1::detail::
+                     template fvar<RealType, Order>> : NumTraits<RealType> {
+  using fvar =
+      boost::math::differentiation::autodiff_v1::detail::template fvar<RealType,
+                                                                       Order>;
+
+  enum {
+    RequireInitialization = 1,
+    ReadCost = 1,
+    AddCost = 16,
+    MulCost = 16,
+  };
+};
+
+template <typename RealType, size_t Order, typename BinaryOp, typename A>
+struct ScalarBinaryOpTraits<boost::math::differentiation::autodiff_v1::detail::
+                                template fvar<RealType, Order>,
+                            A, BinaryOp> {
+  typedef boost::math::differentiation::autodiff_v1::detail::template fvar<
+      RealType, Order>
+      ReturnType;
+};
+
+template <typename RealType, size_t Order, typename BinaryOp, typename A>
+struct ScalarBinaryOpTraits<A,
+                            boost::math::differentiation::autodiff_v1::detail::
+                                template fvar<RealType, Order>,
+                            BinaryOp> {
+  typedef boost::math::differentiation::autodiff_v1::detail::template fvar<
+      RealType, Order>
+      ReturnType;
+};
+
+template <typename RealType, size_t Order, typename RealType2, size_t Order2,
+          typename BinaryOp>
+struct ScalarBinaryOpTraits<
+    boost::math::differentiation::autodiff_v1::detail::template fvar<RealType,
+                                                                     Order>,
+    boost::math::differentiation::autodiff_v1::detail::template fvar<RealType2,
+                                                                     Order2>,
+    BinaryOp> {
+  typedef ScalarBinaryOpTraits<RealType, RealType2, BinaryOp>::ReturnType
+      RealReturn;
+  const size_t ReturnOrder = (Order > Order2) ? Order : Order2;
+  typedef boost::math::differentiation::autodiff_v1::detail::template fvar<
+      RealReturn, ReturnOrder>
+      ReturnType;
+}
+}  // namespace Eigen
+
+#endif  // BOOST_MATH_DIFFERENTIATION_AUTODIFF_EIGEN_HPP
diff --git a/test/Jamfile.v2 b/test/Jamfile.v2
index 60dc9c154d..f8c80f3b0a 100644
--- a/test/Jamfile.v2
+++ b/test/Jamfile.v2
@@ -1334,6 +1334,7 @@ test-suite quadrature :
    [ run test_autodiff_6.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
    [ run test_autodiff_7.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
    [ run test_autodiff_8.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
+   [ run test_autodiff_9.cpp ../../test/build//boost_unit_test_framework : : : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
    [ compile compile_test/autodiff_incl_test.cpp : <toolset>gcc-mingw:<cxxflags>-Wa,-mbig-obj <debug-symbols>off <toolset>msvc:<cxxflags>/bigobj release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <linkflags>-lquadmath ] [ requires cxx11_inline_namespaces ] ]
 ;
 
diff --git a/test/test_autodiff_9.cpp b/test/test_autodiff_9.cpp
new file mode 100644
index 0000000000..926ef24449
--- /dev/null
+++ b/test/test_autodiff_9.cpp
@@ -0,0 +1,229 @@
+#include <Eigen/Core>
+#include <boost/math/differentiation/autodiff_eigen.hpp>
+
+#include "test_autodiff.hpp"
+
+BOOST_AUTO_TEST_SUITE(test_autodiff_9)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(eigen_init, T, all_float_types) {
+  constexpr int size = 5;
+
+  constexpr std::size_t n = 5;
+  typedef typename fvar<T, n> fTn;
+  Eigen::Matrix<fTn, size, 1> x;
+  x[0] = fTn(1.5);
+  x[1] = make_fvar<T, n - 1>(2.5);
+  x[2] = fvar<T, n - 2>(3.5);
+  x[3] = 4;
+  x[4] = 5.5;
+
+  constexpr std::size_t m = 2;
+  typedef typename fvar<T, n> fTm;
+  Eigen::Matrix<fTm, size, 1> y;
+  y = x.template cast<fTn>();
+  BOOST_CHECK_EQUAL(x[0].derivative(0), y[0].derivative(0));
+  BOOST_CHECK_EQUAL(x[1].derivative(0), y[1].derivative(0));
+  BOOST_CHECK_EQUAL(x[2].derivative(0), y[2].derivative(0));
+  BOOST_CHECK_EQUAL(x[3].derivative(0), y[3].derivative(0));
+  BOOST_CHECK_EQUAL(x[4].derivative(0), y[4].derivative(0));
+
+  constexpr std::size_t p = 3;
+  typedef typename fvar<T, p> fTp;
+  Eigen::Matrix<fTp, 1, size> z =
+      Eigen::Matrix<fTn, size, 1>::Random().transpose().template cast<fTp>();
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(eigen_general, T, all_float_types) {
+  using std::cos;
+  using std::exp;
+  using std::log;
+  using std::pow;
+  using std::sin;
+
+  constexpr int dim = 3;
+  constexpr std::size_t n = 2;
+  constexpr double p = 3.456;
+
+  typedef typename fvar<T, n> fTn;
+  Eigen::Matrix<fTn, dim, 1> x;
+  x[0] = -1;
+  x[1] = 0;
+  x[2] = 1;
+  x[3] = 5;
+
+  Eigen::Matrix<fTn, dim, 1> y1, y2, y3, y4, y5;
+  y1 = sin(x);
+  y2 = cos(x);
+  y3 = exp(x);
+  y4 = pow(x, p);
+  y5 = log(x);
+
+  // Check sin
+  BOOST_CHECK_EQUAL(y1[0].derivative(0), sin(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[1].derivative(0), sin(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[2].derivative(0), sin(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[3].derivative(0), sin(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[0].derivative(1), cos(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[1].derivative(1), cos(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[2].derivative(1), cos(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[3].derivative(1), cos(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[0].derivative(2), -sin(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[1].derivative(2), -sin(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[2].derivative(2), -sin(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y1[3].derivative(2), -sin(x[3].derivative(0)));
+
+  // Check cos
+  BOOST_CHECK_EQUAL(y2[0].derivative(0), cos(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[1].derivative(0), cos(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[2].derivative(0), cos(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[3].derivative(0), cos(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[0].derivative(1), -sin(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[1].derivative(1), -sin(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[2].derivative(1), -sin(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[3].derivative(1), -sin(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[0].derivative(2), -cos(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[1].derivative(2), -cos(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[2].derivative(2), -cos(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y2[3].derivative(2), -cos(x[3].derivative(0)));
+
+  // Check exp
+  BOOST_CHECK_EQUAL(y3[0].derivative(0), exp(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[1].derivative(0), exp(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[2].derivative(0), exp(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[3].derivative(0), exp(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[0].derivative(1), exp(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[1].derivative(1), exp(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[2].derivative(1), exp(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[3].derivative(1), exp(x[3].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[0].derivative(2), exp(x[0].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[1].derivative(2), exp(x[1].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[2].derivative(2), exp(x[2].derivative(0)));
+  BOOST_CHECK_EQUAL(y3[3].derivative(2), exp(x[3].derivative(0)));
+
+  // Check pow
+  BOOST_CHECK_EQUAL(y4[0].derivative(0), pow(x[0].derivative(0), p));
+  BOOST_CHECK_EQUAL(y4[1].derivative(0), pow(x[1].derivative(0), p));
+  BOOST_CHECK_EQUAL(y4[2].derivative(0), pow(x[2].derivative(0), p));
+  BOOST_CHECK_EQUAL(y4[3].derivative(0), pow(x[3].derivative(0), p));
+  BOOST_CHECK_EQUAL(y4[0].derivative(1), p * pow(x[0].derivative(0), p - 1));
+  BOOST_CHECK_EQUAL(y4[1].derivative(1), p * pow(x[1].derivative(0), p - 1));
+  BOOST_CHECK_EQUAL(y4[2].derivative(1), p * pow(x[2].derivative(0), p - 1));
+  BOOST_CHECK_EQUAL(y4[3].derivative(1), p * pow(x[3].derivative(0), p - 1));
+  BOOST_CHECK_EQUAL(y4[0].derivative(2),
+                    (p - 1) * p * pow(x[0].derivative(0), p - 2));
+  BOOST_CHECK_EQUAL(y4[1].derivative(2),
+                    (p - 1) * p * pow(x[1].derivative(0), p - 2));
+  BOOST_CHECK_EQUAL(y4[2].derivative(2),
+                    (p - 1) * p * pow(x[2].derivative(0), p - 2));
+  BOOST_CHECK_EQUAL(y4[3].derivative(2),
+                    (p - 1) * p * pow(x[3].derivative(0), p - 2));
+
+  // Check log
+  BOOST_CHECK_EQUAL(y5[2].derivative(0), log(x[0].derivative(0));
+  BOOST_CHECK_EQUAL(y5[3].derivative(0), log(x[3].derivative(0));
+  BOOST_CHECK_EQUAL(y5[2].derivative(1), 1/x[2].derivative(0));
+  BOOST_CHECK_EQUAL(y5[3].derivative(1), 1/x[3].derivative(0));
+  BOOST_CHECK_EQUAL(y5[2].derivative(2), -1/pow(x[2].derivative(0), 2));
+  BOOST_CHECK_EQUAL(y5[3].derivative(2), -1/pow(x[3].derivative(0), 2));
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(eigen_scalar, T, all_float_types) {
+  constexpr int dim = 4;
+  constexpr size_t n = 4;
+
+  typedef typename fvar<T, n> fTn;
+  fTn x = 4;
+  Eigen::Matrix<fTn, dim, 1> X;
+  Eigen::Matrix<fTn, dim, 1> Z;
+  Eigen::Matrix<fTn, dim, dim> I = Eigen::Matrix<fTn, dim, dim>::Identity();
+  X[0] = x;
+  Z[0] = x;
+  X[1] = 2;
+  Z[1] = x;
+  X[2] = x;
+  Z[2] = -3;
+  X[3] = 4;
+  Z[3] = 5;
+
+  // y = x*x + 2*x - 3*x + 20
+  fTn y1 = X.transpose() * Z;
+  fTn y2 = Z.transpose() * I * X;
+
+  BOOST_CHECK_EQUAL(y1.derivative(0), x * x + 2 * x - 3 * x + 20);
+  BOOST_CHECK_EQUAL(y1.derivative(1), 2 * x - 1);
+  BOOST_CHECK_EQUAL(y1.derivative(2), 2);
+  BOOST_CHECK_EQUAL(y1.derivative(3), 0);
+  BOOST_CHECK_EQUAL(y1.derivative(4), 0);
+  BOOST_CHECK_EQUAL(y2.derivative(0), x * x + 2 * x - 3 * x + 20);
+  BOOST_CHECK_EQUAL(y2.derivative(1), 2 * x - 1);
+  BOOST_CHECK_EQUAL(y2.derivative(2), 2);
+  BOOST_CHECK_EQUAL(y2.derivative(3), 0);
+  BOOST_CHECK_EQUAL(y2.derivative(4), 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(eigen_vector, T, all_float_types) {
+  // Note: Can't handle taking gradient all at once. That would require the same
+  // approach as `make_ftuple`, which has upper limits.
+  using std::cos;
+  using std::sin;
+
+  constexpr int dim = 3;
+  constexpr size_t n = 4;
+
+  typedef typename fvar<T, n> fTn;
+  fTn x = 5;
+  T xD0 = x.derivative(0);
+  Eigen::Matrix<fTn, dim, 1> X;
+  X[0] = 1;
+  X[1] = x;
+  X[2] = x * x;
+  Eigen::Matrix<fTn, dim, dim> M;
+  M(0, 0) = 1;
+  M(0, 1) = 2;
+  M(0, 2) = x;
+  M(1, 0) = 1 / x;
+  M(1, 1) = 4;
+  M(1, 2) = 0;
+  M(2, 0) = 5;
+  M(2, 1) = sin(x);
+  M(2, 2) = cos(x * x);
+
+  Eigen::Matrix<fTn, dim, 1> Y = M * X;
+
+  // Y[0] = 1 + 2*x + x*x*x
+  BOOST_CHECK_EQUAL(Y[0].derivative(0), 1 + 2 * xD0 + pow(xD0, 3));
+  BOOST_CHECK_EQUAL(Y[0].derivative(1), 2 + 3 * xD0 * xD0);
+  BOOST_CHECK_EQUAL(Y[0].derivative(2), 6 * xD0);
+  BOOST_CHECK_EQUAL(Y[0].derivative(3), 6);
+  BOOST_CHECK_EQUAL(Y[0].derivative(4), 0);
+
+  // Y[1] = 1/x + 4*x + 0
+  BOOST_CHECK_EQUAL(Y[1].derivative(0), 1 / xD0 + 4 * xD0);
+  BOOST_CHECK_EQUAL(Y[1].derivative(1), -1 / (xD0 * xD0) + 4);
+  BOOST_CHECK_EQUAL(Y[1].derivative(2), 2 / (pow(xD0, 3)));
+  BOOST_CHECK_EQUAL(Y[1].derivative(3), -6 / (pow(xD0, 3) * xD0));
+  BOOST_CHECK_EQUAL(Y[1].derivative(4), 24 / (pow(xD0, 3) * xD0 * xD0));
+
+  // Y[2] = 5 + x*sin(x) + x*x*cos(x*x)
+  BOOST_CHECK_EQUAL(Y[2].derivative(0),
+                    5 + xD0 * sin(xD0) + xD0 * xD0 * cos(xD0 * xD0));
+  BOOST_CHECK_EQUAL(Y[2].derivative(1), 2 * xD0 * cos(xD0 * xD0) -
+                                            2 * pow(xD0, 3) * sin(xD0 * xD0) +
+                                            sin(xD0) + xD0 * cos(xD0));
+  BOOST_CHECK_EQUAL(Y[2].derivative(2),
+                    -xD0 * (10 * xD0 * sin(xD0 * xD0) + sin(xD0)) +
+                        (2 - 4 * pow(xD0, 4)) * cos(xD0 * xD0) + 2 * cos(xD0));
+  BOOST_CHECK_EQUAL(Y[2].derivative(3), -24 * xD0 * sin(xD0 * xD0) +
+                                            8 * pow(xD0, 5) * sin(xD0 * xD0) -
+                                            36 * pow(xD0, 3) * cos(xD0 * xD0) -
+                                            3 * sin(xD0) - xD0 * cos(xD0));
+  BOOST_CHECK_EQUAL(
+      Y[2].derivative(4),
+      -24 * sin(xD0 * xD0) + 112 * pow(xD0, 4) * sin(xD0 * xD0) +
+          4 * (4 * pow(xD0, 4) - 39) * xD0 * xD0 * cos(xD0 * xD0) +
+          xD0 * sin(xD0) - 4 * cos(xD0));
+}
+
+// BOOST_AUTO_TEST_CASE_TEMPLATE(eigen_determinant, T, all_float_types) {
+//   constexpr int dim = 4;
+// }