aboutsummaryrefslogtreecommitdiff
path: root/src/float16_helper.cc
diff options
context:
space:
mode:
Diffstat (limited to 'src/float16_helper.cc')
-rw-r--r--src/float16_helper.cc138
1 files changed, 138 insertions, 0 deletions
diff --git a/src/float16_helper.cc b/src/float16_helper.cc
new file mode 100644
index 0000000..617bd72
--- /dev/null
+++ b/src/float16_helper.cc
@@ -0,0 +1,138 @@
+// Copyright 2019 The Amber Authors.
+//
+// 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.
+
+#include "src/float16_helper.h"
+
+#include <cassert>
+
+// Float10
+// | 9 8 7 6 5 | 4 3 2 1 0 |
+// | exponent | mantissa |
+//
+// Float11
+// | 10 9 8 7 6 | 5 4 3 2 1 0 |
+// | exponent | mantissa |
+//
+// Float16
+// | 15 | 14 13 12 11 10 | 9 8 7 6 5 4 3 2 1 0 |
+// | s | exponent | mantissa |
+//
+// Float32
+// | 31 | 30 ... 23 | 22 ... 0 |
+// | s | exponent | mantissa |
+
+namespace amber {
+namespace float16 {
+namespace {
+
+// Return sign value of 32 bits float.
+uint16_t FloatSign(const uint32_t hex_float) {
+ return static_cast<uint16_t>(hex_float >> 31U);
+}
+
+// Return exponent value of 32 bits float.
+uint16_t FloatExponent(const uint32_t hex_float) {
+ uint32_t exponent_bits = ((hex_float >> 23U) & ((1U << 8U) - 1U));
+ // Handle zero and denormals.
+ if (exponent_bits == 0U)
+ return 0;
+ uint32_t exponent = exponent_bits - 112U;
+ const uint32_t half_exponent_mask = (1U << 5U) - 1U;
+ assert(((exponent & ~half_exponent_mask) == 0U) && "Float exponent overflow");
+ return static_cast<uint16_t>(exponent & half_exponent_mask);
+}
+
+// Return mantissa value of 32 bits float. Note that mantissa for 32
+// bits float is 23 bits and this method must return uint32_t.
+uint32_t FloatMantissa(const uint32_t hex_float) {
+ return static_cast<uint32_t>(hex_float & ((1U << 23U) - 1U));
+}
+
+// Convert float |value| whose size is 16 bits to 32 bits float
+// based on IEEE-754.
+float HexFloat16ToFloat(const uint8_t* value) {
+ uint32_t sign = (static_cast<uint32_t>(value[1]) & 0x80) << 24U;
+ uint32_t exponent_bits = (static_cast<uint32_t>(value[1]) & 0x7c) >> 2U;
+ uint32_t exponent = 0U;
+ uint32_t mantissa = 0U;
+ // Handle zero and flush denormals to zero.
+ if (exponent_bits != 0U) {
+ exponent = (exponent_bits + 112U) << 23U;
+ mantissa = ((static_cast<uint32_t>(value[1]) & 0x3) << 8U |
+ static_cast<uint32_t>(value[0]))
+ << 13U;
+ }
+
+ uint32_t hex = sign | exponent | mantissa;
+ float* hex_float = reinterpret_cast<float*>(&hex);
+ return *hex_float;
+}
+
+// Convert float |value| whose size is 11 bits to 32 bits float
+// based on IEEE-754.
+float HexFloat11ToFloat(const uint8_t* value) {
+ uint32_t exponent = (((static_cast<uint32_t>(value[1]) << 2U) |
+ ((static_cast<uint32_t>(value[0]) & 0xc0) >> 6U)) +
+ 112U)
+ << 23U;
+ uint32_t mantissa = (static_cast<uint32_t>(value[0]) & 0x3f) << 17U;
+
+ uint32_t hex = exponent | mantissa;
+ float* hex_float = reinterpret_cast<float*>(&hex);
+ return *hex_float;
+}
+
+// Convert float |value| whose size is 10 bits to 32 bits float
+// based on IEEE-754.
+float HexFloat10ToFloat(const uint8_t* value) {
+ uint32_t exponent = (((static_cast<uint32_t>(value[1]) << 3U) |
+ ((static_cast<uint32_t>(value[0]) & 0xe0) >> 5U)) +
+ 112U)
+ << 23U;
+ uint32_t mantissa = (static_cast<uint32_t>(value[0]) & 0x1f) << 18U;
+
+ uint32_t hex = exponent | mantissa;
+ float* hex_float = reinterpret_cast<float*>(&hex);
+ return *hex_float;
+}
+
+} // namespace
+
+float HexFloatToFloat(const uint8_t* value, uint8_t bits) {
+ switch (bits) {
+ case 10:
+ return HexFloat10ToFloat(value);
+ case 11:
+ return HexFloat11ToFloat(value);
+ case 16:
+ return HexFloat16ToFloat(value);
+ }
+
+ assert(false && "Invalid bits");
+ return 0;
+}
+
+uint16_t FloatToHexFloat16(const float value) {
+ const uint32_t* hex = reinterpret_cast<const uint32_t*>(&value);
+ uint16_t sign = FloatSign(*hex);
+ uint16_t exponent = FloatExponent(*hex);
+ // Flush denormals.
+ uint32_t mantissa = ((exponent == 0) ? 0U : FloatMantissa(*hex));
+ return static_cast<uint16_t>(static_cast<uint16_t>(sign << 15U) |
+ static_cast<uint16_t>(exponent << 10U) |
+ static_cast<uint16_t>(mantissa >> 13U));
+}
+
+} // namespace float16
+} // namespace amber