move vector math out of libui

created a new header-only static libmath lib

Test: built & ran
Bug: n/a
Change-Id: Ic63ef5f54d9a0de07a9ab9e4d67be01ab6169fc0
diff --git a/libs/math/tests/half_test.cpp b/libs/math/tests/half_test.cpp
new file mode 100644
index 0000000..496a7ef
--- /dev/null
+++ b/libs/math/tests/half_test.cpp
@@ -0,0 +1,96 @@
+/*
+ * Copyright 2013 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#define LOG_TAG "HalfTest"
+
+#include <math.h>
+#include <stdlib.h>
+
+#include <math/half.h>
+#include <math/vec4.h>
+
+#include <gtest/gtest.h>
+
+namespace android {
+
+class HalfTest : public testing::Test {
+protected:
+};
+
+TEST_F(HalfTest, Basics) {
+
+    EXPECT_EQ(2UL, sizeof(half));
+
+    // test +/- zero
+    EXPECT_EQ(0x0000, half( 0.0f).getBits());
+    EXPECT_EQ(0x8000, half(-0.0f).getBits());
+
+    // test nan
+    EXPECT_EQ(0x7e00, half(NAN).getBits());
+
+    // test +/- infinity
+    EXPECT_EQ(0x7C00, half( std::numeric_limits<float>::infinity()).getBits());
+    EXPECT_EQ(0xFC00, half(-std::numeric_limits<float>::infinity()).getBits());
+
+    // test a few known values
+    EXPECT_EQ(0x3C01, half(1.0009765625).getBits());
+    EXPECT_EQ(0xC000, half(-2).getBits());
+    EXPECT_EQ(0x0400, half(6.10352e-5).getBits());
+    EXPECT_EQ(0x7BFF, half(65504).getBits());
+    EXPECT_EQ(0x3555, half(1.0f/3).getBits());
+
+    // numeric limits
+    EXPECT_EQ(0x7C00, std::numeric_limits<half>::infinity().getBits());
+    EXPECT_EQ(0x0400, std::numeric_limits<half>::min().getBits());
+    EXPECT_EQ(0x7BFF, std::numeric_limits<half>::max().getBits());
+    EXPECT_EQ(0xFBFF, std::numeric_limits<half>::lowest().getBits());
+
+    // denormals (flushed to zero)
+    EXPECT_EQ(0x0000, half( 6.09756e-5).getBits());      // if handled, should be: 0x03FF
+    EXPECT_EQ(0x0000, half( 5.96046e-8).getBits());      // if handled, should be: 0x0001
+    EXPECT_EQ(0x8000, half(-6.09756e-5).getBits());      // if handled, should be: 0x83FF
+    EXPECT_EQ(0x8000, half(-5.96046e-8).getBits());      // if handled, should be: 0x8001
+
+    // test all exactly representable integers
+    for (int i=-2048 ; i<= 2048 ; ++i) {
+        half h = i;
+        EXPECT_EQ(i, float(h));
+    }
+}
+
+TEST_F(HalfTest, Literals) {
+    half one = 1.0_hf;
+    half pi = 3.1415926_hf;
+    half minusTwo = -2.0_hf;
+
+    EXPECT_EQ(half(1.0f), one);
+    EXPECT_EQ(half(3.1415926), pi);
+    EXPECT_EQ(half(-2.0f), minusTwo);
+}
+
+
+TEST_F(HalfTest, Vec) {
+    float4 f4(1,2,3,4);
+    half4 h4(f4);
+    half3 h3(f4.xyz);
+    half2 h2(f4.xy);
+
+    EXPECT_EQ(f4, h4);
+    EXPECT_EQ(f4.xyz, h3);
+    EXPECT_EQ(f4.xy, h2);
+}
+
+}; // namespace android