move test_lang

tc/test/test_lang.cpp

@@ -0,0 +1,45 @@
+#include <tc/group.hpp>
+#include <tc/groups.hpp>
+
+#include <gtest/gtest.h>
+
+// "5 3 3"
+// "5 (3 3)"
+// "[5 3 3]"
+// "[4 3 [3 5] 3]"
+// "{3 4 5 6 7 8 9}"
+// "3 {3 3 [4] 3} 5"
+// "5 * 3"
+// "5 * [3]"
+// "5 * {2 3}"
+// "5 * [3 2]"
+// "(5 2) * [3 2]"
+// "4 [3 * [2 3]] 5"
+// "{3 * 3} [4] [5]"
+
+TEST(coxeter, simple) {
+    auto g = tc::coxeter("5 3 3");
+
+    ASSERT_EQ(g.ngens, 4);
+
+    EXPECT_EQ(g.get(0, 1), 5);
+    EXPECT_EQ(g.get(1, 2), 3);
+    EXPECT_EQ(g.get(3, 4), 3);
+
+    EXPECT_EQ(g.get(0, 2), 2);
+    EXPECT_EQ(g.get(0, 3), 2);
+    EXPECT_EQ(g.get(0, 4), 2);
+    EXPECT_EQ(g.get(1, 3), 2);
+    EXPECT_EQ(g.get(1, 4), 2);
+    EXPECT_EQ(g.get(2, 4), 2);
+}
+
+TEST(coxeter, looping) {
+    auto g = tc::coxeter("{5 3 4}");
+
+    ASSERT_EQ(g.ngens, 3);
+
+    EXPECT_EQ(g.get(0, 1), 5);
+    EXPECT_EQ(g.get(1, 2), 3);
+    EXPECT_EQ(g.get(2, 0), 4);
+}