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io.milvus.common.utils.Float16Utils Maven / Gradle / Ivy
package io.milvus.common.utils;
import java.nio.ByteBuffer;
import java.nio.ByteOrder;
import java.nio.ShortBuffer;
import java.util.ArrayList;
import java.util.List;
public class Float16Utils {
/**
* Converts a float32 into bf16. May not produce correct values for subnormal floats.
*
* This method is copied from microsoft ONNX Runtime:
* https://github.com/microsoft/onnxruntime/blob/main/java/src/main/jvm/ai/onnxruntime/platform/Fp16Conversions.java
*
* @param input a standard float32 value which will be converted to a bfloat16 value
* @return a short value to store the bfloat16 value
*/
public static short floatToBf16(float input) {
int bits = Float.floatToIntBits(input);
int lsb = (bits >> 16) & 1;
int roundingBias = 0x7fff + lsb;
bits += roundingBias;
return (short) (bits >> 16);
}
/**
* Upcasts a bf16 value stored in a short into a float32 value.
*
* This method is copied from microsoft ONNX Runtime:
* https://github.com/microsoft/onnxruntime/blob/main/java/src/main/jvm/ai/onnxruntime/platform/Fp16Conversions.java
*
* @param input a bfloat16 value which will be converted to a float32 value
* @return a float32 value converted from a bfloat16
*/
public static float bf16ToFloat(short input) {
int bits = input << 16;
return Float.intBitsToFloat(bits);
}
/**
* Rounds a float32 value to a fp16 stored in a short.
*
* This method is copied from microsoft ONNX Runtime:
* https://github.com/microsoft/onnxruntime/blob/main/java/src/main/jvm/ai/onnxruntime/platform/Fp16Conversions.java
*
* @param input a standard float32 value which will be converted to a float16 value
* @return a short value to store the float16 value
*/
public static short floatToFp16(float input) {
// Port of MLAS_Float2Half from onnxruntime/core/mlas/inc/mlas_float16.h
int bits = Float.floatToIntBits(input);
final int F32_INFINITY = Float.floatToIntBits(Float.POSITIVE_INFINITY);
final int F16_MAX = (127 + 16) << 23;
final int DENORM_MAGIC = ((127 - 15) + (23 - 10) + 1) << 23;
final int SIGN_MASK = 0x80000000;
final int ROUNDING_CONST = ((15 - 127) << 23) + 0xfff;
int sign = bits & SIGN_MASK;
// mask out sign bit
bits ^= sign;
short output;
if (bits >= F16_MAX) {
// Inf or NaN (all exponent bits set)
output = (bits > F32_INFINITY) ? (short) 0x7e00 : (short) 0x7c00;
} else {
if (bits < (113 << 23)) {
// Subnormal or zero
// use a magic value to align our 10 mantissa bits at the bottom of
// the float. as long as FP addition is round-to-nearest-even this
// just works.
float tmp = Float.intBitsToFloat(bits) + Float.intBitsToFloat(DENORM_MAGIC);
// and one integer subtract of the bias later, we have our final float!
output = (short) (Float.floatToIntBits(tmp) - DENORM_MAGIC);
} else {
int mant_odd = (bits >> 13) & 1; // resulting mantissa is odd
// update exponent, rounding bias part 1
bits += ROUNDING_CONST;
// rounding bias part 2
bits += mant_odd;
// take the bits!
output = (short) (bits >> 13);
}
}
// Add the sign back in
output = (short) (output | ((short) (sign >> 16)));
return output;
}
/**
* Upcasts a fp16 value stored in a short to a float32 value.
*
* This method is copied from microsoft ONNX Runtime:
* https://github.com/microsoft/onnxruntime/blob/main/java/src/main/jvm/ai/onnxruntime/platform/Fp16Conversions.java
*
* @param input a float16 value which will be converted to a float32 value
* @return a float32 value converted from a float16 value
*/
public static float fp16ToFloat(short input) {
// Port of MLAS_Half2Float from onnxruntime/core/mlas/inc/mlas_float16.h
final int MAGIC = 113 << 23;
// exponent mask after shift
final int SHIFTED_EXP = 0x7c00 << 13;
// exponent/mantissa bits
int bits = (input & 0x7fff) << 13;
// just the exponent
final int exp = SHIFTED_EXP & bits;
// exponent adjust
bits += (127 - 15) << 23;
// handle exponent special cases
if (exp == SHIFTED_EXP) {
// Inf/NaN?
// extra exp adjust
bits += (128 - 16) << 23;
} else if (exp == 0) {
// Zero/Denormal?
// extra exp adjust
bits += (1 << 23);
// renormalize
float tmp = Float.intBitsToFloat(bits) - Float.intBitsToFloat(MAGIC);
bits = Float.floatToIntBits(tmp);
}
// sign bit
bits |= (input & 0x8000) << 16;
return Float.intBitsToFloat(bits);
}
/**
* Rounds a float32 vector to bf16 values, and stores into a ByteBuffer.
*
* @param vector a float32 vector
* @return ByteBuffer
the vector is converted to bfloat16 values and stored into a ByteBuffer
*/
public static ByteBuffer f32VectorToBf16Buffer(List vector) {
if (vector.isEmpty()) {
return null;
}
ByteBuffer buf = ByteBuffer.allocate(2 * vector.size());
buf.order(ByteOrder.LITTLE_ENDIAN); // milvus server stores fp16/bf16 vector as little endian
for (Float val : vector) {
short bf16 = floatToBf16(val);
buf.putShort(bf16);
}
return buf;
}
/**
* Converts a ByteBuffer to fp16 vector upcasts to float32 array.
*
* @param buf a buffer to store a float16 vector
* @return List of Float a float32 vector
*/
public static List fp16BufferToVector(ByteBuffer buf) {
buf.rewind(); // reset the read position
List vector = new ArrayList<>();
ShortBuffer sbuf = buf.asShortBuffer();
for (int i = 0; i < sbuf.limit(); i++) {
float val = fp16ToFloat(sbuf.get(i));
vector.add(val);
}
return vector;
}
/**
* Rounds a float32 vector to fp16 values, and stores into a ByteBuffer.
*
* @param vector a float32 vector
* @return ByteBuffer
the vector is converted to float16 values and stored in a ByteBuffer
*/
public static ByteBuffer f32VectorToFp16Buffer(List vector) {
if (vector.isEmpty()) {
return null;
}
ByteBuffer buf = ByteBuffer.allocate(2 * vector.size());
buf.order(ByteOrder.LITTLE_ENDIAN); // milvus server stores fp16/bf16 vector as little endian
for (Float val : vector) {
short bf16 = floatToFp16(val);
buf.putShort(bf16);
}
return buf;
}
/**
* Converts a ByteBuffer to bf16 vector upcasts to float32 array.
*
* @param buf a buffer to store a bfloat16 vector
* @return List of Float the vector is converted to float32 values
*/
public static List bf16BufferToVector(ByteBuffer buf) {
buf.rewind(); // reset the read position
List vector = new ArrayList<>();
ShortBuffer sbuf = buf.asShortBuffer();
for (int i = 0; i < sbuf.limit(); i++) {
float val = bf16ToFloat(sbuf.get(i));
vector.add(val);
}
return vector;
}
/**
* Stores a fp16/bf16 vector into a ByteBuffer.
*
* @param vector a float16 vector stored in a list of Short
* @return ByteBuffer
a buffer to store the float16 vector
*/
public static ByteBuffer f16VectorToBuffer(List vector) {
if (vector.isEmpty()) {
return null;
}
ByteBuffer buf = ByteBuffer.allocate(2 * vector.size());
buf.order(ByteOrder.LITTLE_ENDIAN); // milvus server stores fp16/bf16 vector as little endian
for (Short val : vector) {
buf.putShort(val);
}
return buf;
}
/**
* Converts a ByteBuffer to a fp16/bf16 vector stored in short array.
*
* @param buf a buffer to store a float16 vector
* @return List of Short the vector is converted to a list of Short, each Short value is a float16 value
*/
public static List bufferToF16Vector(ByteBuffer buf) {
buf.rewind(); // reset the read position
List vector = new ArrayList<>();
ShortBuffer sbuf = buf.asShortBuffer();
for (int i = 0; i < sbuf.limit(); i++) {
vector.add(sbuf.get(i));
}
return vector;
}
}
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