libmatio: migrate from homebrew/science

Closes #16970.

Signed-off-by: FX Coudert <fxcoudert@gmail.com>

Formula/libmatio.rb

@@ -0,0 +1,44 @@
+class Libmatio < Formula
+  desc "C library for reading and writing MATLAB MAT files"
+  homepage "https://matio.sourceforge.io/"
+  url "https://downloads.sourceforge.net/project/matio/matio/1.5.10/matio-1.5.10.tar.gz"
+  sha256 "41209918cebd8cc87a4aa815fed553610911be558f027aee54af8b599c78b501"
+  revision 2
+
+  depends_on "hdf5"
+
+  resource "test_mat_file" do
+    url "https://web.uvic.ca/~monahana/eos225/poc_data.mat.sfx"
+    sha256 "a29df222605476dcfa660597a7805176d7cb6e6c60413a3e487b62b6dbf8e6fe"
+  end
+
+  def install
+    args = %W[
+      --prefix=#{prefix}
+      --enable-extended-sparse=yes
+      --enable-mat73=yes
+      --with-hdf5=#{Formula["hdf5"].opt_prefix}
+      --with-zlib=/usr
+    ]
+
+    system "./configure", *args
+    system "make", "install"
+  end
+
+  test do
+    testpath.install resource("test_mat_file")
+    (testpath/"mat.c").write <<-'EOS'.undent
+      #include <stdlib.h>
+      #include <matio.h>
+      int main(int argc, char **argv) {
+        mat_t *matfp;
+        if (!(matfp = Mat_Open(argv[1], MAT_ACC_RDONLY)))
+          abort();
+        Mat_Close(matfp);
+        return EXIT_SUCCESS;
+      }
+    EOS
+    system ENV.cc, "mat.c", "-o", "mat", "-I#{include}", "-L#{lib}", "-lmatio"
+    system "./mat", "poc_data.mat.sfx"
+  end
+end