encode_arrow.go

// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements.  See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership.  The ASF licenses this file
// to you 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.

package pqarrow

import (
	"context"
	"encoding/binary"
	"errors"
	"fmt"
	"time"
	"unsafe"

	"github.com/apache/arrow/go/v11/arrow"
	"github.com/apache/arrow/go/v11/arrow/array"
	"github.com/apache/arrow/go/v11/arrow/bitutil"
	"github.com/apache/arrow/go/v11/arrow/decimal128"
	"github.com/apache/arrow/go/v11/arrow/memory"
	"github.com/apache/arrow/go/v11/internal/utils"
	"github.com/apache/arrow/go/v11/parquet"
	"github.com/apache/arrow/go/v11/parquet/file"
	"golang.org/x/xerrors"
)

// get the count of the number of leaf arrays for the type
func calcLeafCount(dt arrow.DataType) int {
	switch dt.ID() {
	case arrow.EXTENSION, arrow.SPARSE_UNION, arrow.DENSE_UNION:
		panic("arrow type not implemented")
	case arrow.LIST:
		return calcLeafCount(dt.(*arrow.ListType).Elem())
	case arrow.FIXED_SIZE_LIST:
		return calcLeafCount(dt.(*arrow.FixedSizeListType).Elem())
	case arrow.MAP:
		return calcLeafCount(dt.(*arrow.MapType).ValueType())
	case arrow.STRUCT:
		nleaves := 0
		for _, f := range dt.(*arrow.StructType).Fields() {
			nleaves += calcLeafCount(f.Type)
		}
		return nleaves
	default:
		return 1
	}
}

func nullableRoot(manifest *SchemaManifest, field *SchemaField) bool {
	curField := field
	nullable := field.Field.Nullable
	for curField != nil {
		nullable = curField.Field.Nullable
		curField = manifest.GetParent(curField)
	}
	return nullable
}

// ArrowColumnWriter is a convenience object for easily writing arrow data to a specific
// set of columns in a parquet file. Since a single arrow array can itself be a nested type
// consisting of multiple columns of data, this will write to all of the appropriate leaves in
// the parquet file, allowing easy writing of nested columns.
type ArrowColumnWriter struct {
	builders  []*multipathLevelBuilder
	leafCount int
	colIdx    int
	rgw       file.RowGroupWriter
}

// NewArrowColumnWriter returns a new writer using the chunked array to determine the number of leaf columns,
// and the provided schema manifest to determine the paths for writing the columns.
//
// Using an arrow column writer is a convenience to avoid having to process the arrow array yourself
// and determine the correct definition and repetition levels manually.
func NewArrowColumnWriter(data *arrow.Chunked, offset, size int64, manifest *SchemaManifest, rgw file.RowGroupWriter, col int) (ArrowColumnWriter, error) {
	if data.Len() == 0 {
		return ArrowColumnWriter{leafCount: calcLeafCount(data.DataType()), rgw: rgw}, nil
	}

	var (
		absPos      int64
		chunkOffset int64
		chunkIdx    int
		values      int64
	)

	for idx, chnk := range data.Chunks() {
		chunkIdx = idx
		if absPos >= offset {
			break
		}

		chunkLen := int64(chnk.Len())
		if absPos+chunkLen > offset {
			chunkOffset = offset - absPos
			break
		}

		absPos += chunkLen
	}

	if absPos >= int64(data.Len()) {
		return ArrowColumnWriter{}, xerrors.New("cannot write data at offset past end of chunked array")
	}

	leafCount := calcLeafCount(data.DataType())
	isNullable := false
	// row group writer hasn't been advanced yet so add 1 to the current
	// which is the one this instance will start writing for
	// colIdx := rgw.CurrentColumn() + 1

	schemaField, err := manifest.GetColumnField(col)
	if err != nil {
		return ArrowColumnWriter{}, err
	}
	isNullable = nullableRoot(manifest, schemaField)

	builders := make([]*multipathLevelBuilder, 0)
	for values < size {
		chunk := data.Chunk(chunkIdx)
		available := int64(chunk.Len() - int(chunkOffset))
		chunkWriteSize := utils.Min(size-values, available)

		// the chunk offset will be 0 here except for possibly the first chunk
		// because of the above advancing logic
		arrToWrite := array.NewSlice(chunk, chunkOffset, chunkOffset+chunkWriteSize)
		defer arrToWrite.Release()

		if arrToWrite.Len() > 0 {
			bldr, err := newMultipathLevelBuilder(arrToWrite, isNullable)
			if err != nil {
				return ArrowColumnWriter{}, nil
			}
			if leafCount != bldr.leafCount() {
				return ArrowColumnWriter{}, fmt.Errorf("data type leaf_count != builder leafcount: %d - %d", leafCount, bldr.leafCount())
			}
			builders = append(builders, bldr)
		}

		if chunkWriteSize == available {
			chunkOffset = 0
			chunkIdx++
		}
		values += chunkWriteSize
	}

	return ArrowColumnWriter{builders: builders, leafCount: leafCount, rgw: rgw, colIdx: col}, nil
}

func (acw *ArrowColumnWriter) Write(ctx context.Context) error {
	arrCtx := arrowCtxFromContext(ctx)
	for leafIdx := 0; leafIdx < acw.leafCount; leafIdx++ {
		var (
			cw  file.ColumnChunkWriter
			err error
		)

		if acw.rgw.Buffered() {
			cw, err = acw.rgw.(file.BufferedRowGroupWriter).Column(acw.colIdx + leafIdx)
		} else {
			cw, err = acw.rgw.(file.SerialRowGroupWriter).NextColumn()
		}

		if err != nil {
			return err
		}

		for _, bldr := range acw.builders {
			if leafIdx == 0 {
				defer bldr.Release()
			}
			res, err := bldr.write(leafIdx, arrCtx)
			if err != nil {
				return err
			}
			defer res.Release()

			if len(res.postListVisitedElems) != 1 {
				return xerrors.New("lists with non-zero length null components are not supported")
			}
			rng := res.postListVisitedElems[0]
			values := array.NewSlice(res.leafArr, rng.start, rng.end)
			defer values.Release()
			if err = WriteArrowToColumn(ctx, cw, values, res.defLevels, res.repLevels, res.leafIsNullable); err != nil {
				return err
			}
		}
	}
	return nil
}

// WriteArrowToColumn writes apache arrow columnar data directly to a ColumnWriter.
// Returns non-nil error if the array data type is not compatible with the concrete
// writer type.
//
// leafArr is always a primitive (possibly dictionary encoded type).
// Leaf_field_nullable indicates whether the leaf array is considered nullable
// according to its schema in a Table or its parent array.
func WriteArrowToColumn(ctx context.Context, cw file.ColumnChunkWriter, leafArr arrow.Array, defLevels, repLevels []int16, leafFieldNullable bool) error {
	// Leaf nulls are canonical when there is only a single null element after a list
	// and it is at the leaf.
	colLevelInfo := cw.LevelInfo()
	singleNullable := (colLevelInfo.DefLevel == colLevelInfo.RepeatedAncestorDefLevel+1) && leafFieldNullable
	maybeParentNulls := colLevelInfo.HasNullableValues() && !singleNullable

	if maybeParentNulls && !cw.HasBitsBuffer() {
		buf := memory.NewResizableBuffer(cw.Properties().Allocator())
		buf.Resize(int(bitutil.BytesForBits(cw.Properties().WriteBatchSize())))
		cw.SetBitsBuffer(buf)
	}

	if leafArr.DataType().ID() == arrow.DICTIONARY {
		// TODO(mtopol): write arrow dictionary ARROW-7283
		return errors.New("parquet/pqarrow: dictionary columns not yet implemented for WriteArrowToColumn")
	}
	return writeDenseArrow(arrowCtxFromContext(ctx), cw, leafArr, defLevels, repLevels, maybeParentNulls)
}

type binaryarr interface {
	ValueOffsets() []int32
}

func writeDenseArrow(ctx *arrowWriteContext, cw file.ColumnChunkWriter, leafArr arrow.Array, defLevels, repLevels []int16, maybeParentNulls bool) (err error) {
	noNulls := cw.Descr().SchemaNode().RepetitionType() == parquet.Repetitions.Required || leafArr.NullN() == 0

	if ctx.dataBuffer == nil {
		ctx.dataBuffer = memory.NewResizableBuffer(cw.Properties().Allocator())
	}

	switch wr := cw.(type) {
	case *file.BooleanColumnChunkWriter:
		if leafArr.DataType().ID() != arrow.BOOL {
			return fmt.Errorf("type mismatch, column is %s, array is %s", cw.Type(), leafArr.DataType().ID())
		}
		// TODO(mtopol): optimize this so that we aren't converting from
		// the bitmap -> []bool -> bitmap anymore
		if leafArr.Len() == 0 {
			wr.WriteBatch(nil, defLevels, repLevels)
			break
		}

		ctx.dataBuffer.ResizeNoShrink(leafArr.Len())
		buf := ctx.dataBuffer.Bytes()
		data := *(*[]bool)(unsafe.Pointer(&buf))
		for idx := range data {
			data[idx] = leafArr.(*array.Boolean).Value(idx)
		}
		if !maybeParentNulls && noNulls {
			wr.WriteBatch(data, defLevels, repLevels)
		} else {
			wr.WriteBatchSpaced(data, defLevels, repLevels, leafArr.NullBitmapBytes(), int64(leafArr.Data().Offset()))
		}
	case *file.Int32ColumnChunkWriter:
		var data []int32
		switch leafArr.DataType().ID() {
		case arrow.INT32:
			data = leafArr.(*array.Int32).Int32Values()
		case arrow.DATE32, arrow.UINT32:
			data = arrow.Int32Traits.CastFromBytes(leafArr.Data().Buffers()[1].Bytes())
			data = data[leafArr.Data().Offset() : leafArr.Data().Offset()+leafArr.Len()]
		case arrow.TIME32:
			if leafArr.DataType().(*arrow.Time32Type).Unit != arrow.Second {
				data = arrow.Int32Traits.CastFromBytes(leafArr.Data().Buffers()[1].Bytes())
				data = data[leafArr.Data().Offset() : leafArr.Data().Offset()+leafArr.Len()]
			} else { // coerce time32 if necessary by multiplying by 1000
				ctx.dataBuffer.ResizeNoShrink(arrow.Int32Traits.BytesRequired(leafArr.Len()))
				data = arrow.Int32Traits.CastFromBytes(ctx.dataBuffer.Bytes())
				for idx, val := range leafArr.(*array.Time32).Time32Values() {
					data[idx] = int32(val) * 1000
				}
			}
		case arrow.NULL:
			wr.WriteBatchSpaced(nil, defLevels, repLevels, leafArr.NullBitmapBytes(), 0)
			return

		default:
			// simple integral cases, parquet physical storage is int32 or int64
			// so we have to create a new array of int32's for anything smaller than
			// 32-bits
			ctx.dataBuffer.ResizeNoShrink(arrow.Int32Traits.BytesRequired(leafArr.Len()))
			data = arrow.Int32Traits.CastFromBytes(ctx.dataBuffer.Bytes())
			switch leafArr.DataType().ID() {
			case arrow.UINT8:
				for idx, val := range leafArr.(*array.Uint8).Uint8Values() {
					data[idx] = int32(val)
				}
			case arrow.INT8:
				for idx, val := range leafArr.(*array.Int8).Int8Values() {
					data[idx] = int32(val)
				}
			case arrow.UINT16:
				for idx, val := range leafArr.(*array.Uint16).Uint16Values() {
					data[idx] = int32(val)
				}
			case arrow.INT16:
				for idx, val := range leafArr.(*array.Int16).Int16Values() {
					data[idx] = int32(val)
				}
			case arrow.DATE64:
				for idx, val := range leafArr.(*array.Date64).Date64Values() {
					data[idx] = int32(val / 86400000) // coerce date64 values
				}
			default:
				return fmt.Errorf("type mismatch, column is int32 writer, arrow array is %s, and not a compatible type", leafArr.DataType().Name())
			}
		}

		if !maybeParentNulls && noNulls {
			wr.WriteBatch(data, defLevels, repLevels)
		} else {
			nulls := leafArr.NullBitmapBytes()
			wr.WriteBatchSpaced(data, defLevels, repLevels, nulls, int64(leafArr.Data().Offset()))
		}
	case *file.Int64ColumnChunkWriter:
		var data []int64
		switch leafArr.DataType().ID() {
		case arrow.TIMESTAMP:
			tstype := leafArr.DataType().(*arrow.TimestampType)
			if ctx.props.coerceTimestamps {
				// user explicitly requested coercion to specific unit
				if tstype.Unit == ctx.props.coerceTimestampUnit {
					// no conversion necessary
					data = arrow.Int64Traits.CastFromBytes(leafArr.Data().Buffers()[1].Bytes())
					data = data[leafArr.Data().Offset() : leafArr.Data().Offset()+leafArr.Len()]
				} else {
					ctx.dataBuffer.ResizeNoShrink(arrow.Int64Traits.BytesRequired(leafArr.Len()))
					data = arrow.Int64Traits.CastFromBytes(ctx.dataBuffer.Bytes())
					if err := writeCoerceTimestamps(leafArr.(*array.Timestamp), &ctx.props, data); err != nil {
						return err
					}
				}
			} else if (cw.Properties().Version() == parquet.V1_0 || cw.Properties().Version() == parquet.V2_4) && tstype.Unit == arrow.Nanosecond {
				// absent superceding user instructions, when writing a Parquet Version <=2.4 File,
				// timestamps in nano seconds are coerced to microseconds
				ctx.dataBuffer.ResizeNoShrink(arrow.Int64Traits.BytesRequired(leafArr.Len()))
				data = arrow.Int64Traits.CastFromBytes(ctx.dataBuffer.Bytes())
				p := NewArrowWriterProperties(WithCoerceTimestamps(arrow.Microsecond), WithTruncatedTimestamps(true))
				if err := writeCoerceTimestamps(leafArr.(*array.Timestamp), &p, data); err != nil {
					return err
				}
			} else if tstype.Unit == arrow.Second {
				// absent superceding user instructions, timestamps in seconds are coerced
				// to milliseconds
				p := NewArrowWriterProperties(WithCoerceTimestamps(arrow.Millisecond))
				ctx.dataBuffer.ResizeNoShrink(arrow.Int64Traits.BytesRequired(leafArr.Len()))
				data = arrow.Int64Traits.CastFromBytes(ctx.dataBuffer.Bytes())
				if err := writeCoerceTimestamps(leafArr.(*array.Timestamp), &p, data); err != nil {
					return err
				}
			} else {
				// no data conversion neccessary
				data = arrow.Int64Traits.CastFromBytes(leafArr.Data().Buffers()[1].Bytes())
				data = data[leafArr.Data().Offset() : leafArr.Data().Offset()+leafArr.Len()]
			}
		case arrow.UINT32:
			ctx.dataBuffer.ResizeNoShrink(arrow.Int64Traits.BytesRequired(leafArr.Len()))
			data = arrow.Int64Traits.CastFromBytes(ctx.dataBuffer.Bytes())
			for idx, val := range leafArr.(*array.Uint32).Uint32Values() {
				data[idx] = int64(val)
			}
		case arrow.INT64:
			data = leafArr.(*array.Int64).Int64Values()
		case arrow.UINT64, arrow.TIME64, arrow.DATE64:
			data = arrow.Int64Traits.CastFromBytes(leafArr.Data().Buffers()[1].Bytes())
			data = data[leafArr.Data().Offset() : leafArr.Data().Offset()+leafArr.Len()]
		default:
			return fmt.Errorf("unimplemented arrow type to write to int64 column: %s", leafArr.DataType().Name())
		}

		if !maybeParentNulls && noNulls {
			wr.WriteBatch(data, defLevels, repLevels)
		} else {
			nulls := leafArr.NullBitmapBytes()
			wr.WriteBatchSpaced(data, defLevels, repLevels, nulls, int64(leafArr.Data().Offset()))
		}
	case *file.Int96ColumnChunkWriter:
		if leafArr.DataType().ID() != arrow.TIMESTAMP {
			return xerrors.New("unsupported arrow type to write to Int96 column")
		}
		ctx.dataBuffer.ResizeNoShrink(parquet.Int96Traits.BytesRequired(leafArr.Len()))
		data := parquet.Int96Traits.CastFromBytes(ctx.dataBuffer.Bytes())
		input := leafArr.(*array.Timestamp).TimestampValues()
		unit := leafArr.DataType().(*arrow.TimestampType).Unit
		for idx, val := range input {
			arrowTimestampToImpalaTimestamp(unit, int64(val), &data[idx])
		}

		if !maybeParentNulls && noNulls {
			wr.WriteBatch(data, defLevels, repLevels)
		} else {
			nulls := leafArr.NullBitmapBytes()
			wr.WriteBatchSpaced(data, defLevels, repLevels, nulls, int64(leafArr.Data().Offset()))
		}
	case *file.Float32ColumnChunkWriter:
		if leafArr.DataType().ID() != arrow.FLOAT32 {
			return xerrors.New("invalid column type to write to Float")
		}
		if !maybeParentNulls && noNulls {
			wr.WriteBatch(leafArr.(*array.Float32).Float32Values(), defLevels, repLevels)
		} else {
			wr.WriteBatchSpaced(leafArr.(*array.Float32).Float32Values(), defLevels, repLevels, leafArr.NullBitmapBytes(), int64(leafArr.Data().Offset()))
		}
	case *file.Float64ColumnChunkWriter:
		if leafArr.DataType().ID() != arrow.FLOAT64 {
			return xerrors.New("invalid column type to write to Float")
		}
		if !maybeParentNulls && noNulls {
			wr.WriteBatch(leafArr.(*array.Float64).Float64Values(), defLevels, repLevels)
		} else {
			wr.WriteBatchSpaced(leafArr.(*array.Float64).Float64Values(), defLevels, repLevels, leafArr.NullBitmapBytes(), int64(leafArr.Data().Offset()))
		}
	case *file.ByteArrayColumnChunkWriter:
		if leafArr.DataType().ID() != arrow.STRING && leafArr.DataType().ID() != arrow.BINARY {
			return xerrors.New("invalid column type to write to ByteArray")
		}

		var (
			offsets  = leafArr.(binaryarr).ValueOffsets()
			buffer   = leafArr.Data().Buffers()[2]
			valueBuf []byte
		)

		if buffer == nil {
			valueBuf = []byte{}
		} else {
			valueBuf = buffer.Bytes()
		}

		data := make([]parquet.ByteArray, leafArr.Len())
		for i := range data {
			data[i] = parquet.ByteArray(valueBuf[offsets[i]:offsets[i+1]])
		}
		if !maybeParentNulls && noNulls {
			wr.WriteBatch(data, defLevels, repLevels)
		} else {
			wr.WriteBatchSpaced(data, defLevels, repLevels, leafArr.NullBitmapBytes(), int64(leafArr.Data().Offset()))
		}

	case *file.FixedLenByteArrayColumnChunkWriter:
		switch dt := leafArr.DataType().(type) {
		case *arrow.FixedSizeBinaryType:
			data := make([]parquet.FixedLenByteArray, leafArr.Len())
			for idx := range data {
				data[idx] = leafArr.(*array.FixedSizeBinary).Value(idx)
			}
			if !maybeParentNulls && noNulls {
				wr.WriteBatch(data, defLevels, repLevels)
			} else {
				wr.WriteBatchSpaced(data, defLevels, repLevels, leafArr.NullBitmapBytes(), int64(leafArr.Data().Offset()))
			}
		case *arrow.Decimal128Type:
			// parquet decimal are stored with FixedLength values where the length is
			// proportional to the precision. Arrow's Decimal are always stored with 16/32
			// bytes. thus the internal FLBA must be adjusted by the offset calculation
			offset := int(bitutil.BytesForBits(int64(dt.BitWidth()))) - int(DecimalSize(dt.Precision))
			ctx.dataBuffer.ResizeNoShrink((leafArr.Len() - leafArr.NullN()) * dt.BitWidth())
			scratch := ctx.dataBuffer.Bytes()
			typeLen := wr.Descr().TypeLength()
			fixDecimalEndianness := func(in decimal128.Num) parquet.FixedLenByteArray {
				out := scratch[offset : offset+typeLen]
				binary.BigEndian.PutUint64(scratch, uint64(in.HighBits()))
				binary.BigEndian.PutUint64(scratch[arrow.Uint64SizeBytes:], in.LowBits())
				scratch = scratch[2*arrow.Uint64SizeBytes:]
				return out
			}

			data := make([]parquet.FixedLenByteArray, leafArr.Len())
			arr := leafArr.(*array.Decimal128)
			if leafArr.NullN() == 0 {
				for idx := range data {
					data[idx] = fixDecimalEndianness(arr.Value(idx))
				}
				wr.WriteBatch(data, defLevels, repLevels)
			} else {
				for idx := range data {
					if arr.IsValid(idx) {
						data[idx] = fixDecimalEndianness(arr.Value(idx))
					}
				}
				wr.WriteBatchSpaced(data, defLevels, repLevels, arr.NullBitmapBytes(), int64(arr.Data().Offset()))
			}
		default:
			return xerrors.New("unimplemented")
		}
	default:
		return xerrors.New("unknown column writer physical type")
	}
	return
}

type coerceType int8

const (
	coerceInvalid coerceType = iota
	coerceDivide
	coerceMultiply
)

type coercePair struct {
	typ    coerceType
	factor int64
}

var factors = map[arrow.TimeUnit]map[arrow.TimeUnit]coercePair{
	arrow.Second: {
		arrow.Second:      {coerceInvalid, 0},
		arrow.Millisecond: {coerceMultiply, 1000},
		arrow.Microsecond: {coerceMultiply, 1000000},
		arrow.Nanosecond:  {coerceMultiply, 1000000000},
	},
	arrow.Millisecond: {
		arrow.Second:      {coerceInvalid, 0},
		arrow.Millisecond: {coerceMultiply, 1},
		arrow.Microsecond: {coerceMultiply, 1000},
		arrow.Nanosecond:  {coerceMultiply, 1000000},
	},
	arrow.Microsecond: {
		arrow.Second:      {coerceInvalid, 0},
		arrow.Millisecond: {coerceDivide, 1000},
		arrow.Microsecond: {coerceMultiply, 1},
		arrow.Nanosecond:  {coerceMultiply, 1000},
	},
	arrow.Nanosecond: {
		arrow.Second:      {coerceInvalid, 0},
		arrow.Millisecond: {coerceDivide, 1000000},
		arrow.Microsecond: {coerceDivide, 1000},
		arrow.Nanosecond:  {coerceMultiply, 1},
	},
}

func writeCoerceTimestamps(arr *array.Timestamp, props *ArrowWriterProperties, out []int64) error {
	source := arr.DataType().(*arrow.TimestampType).Unit
	target := props.coerceTimestampUnit
	truncation := props.allowTruncatedTimestamps

	vals := arr.TimestampValues()
	multiply := func(factor int64) error {
		for idx, val := range vals {
			out[idx] = int64(val) * factor
		}
		return nil
	}

	divide := func(factor int64) error {
		for idx, val := range vals {
			if !truncation && arr.IsValid(idx) && (int64(val)%factor != 0) {
				return fmt.Errorf("casting from %s to %s would lose data", source, target)
			}
			out[idx] = int64(val) / factor
		}
		return nil
	}

	coerce := factors[source][target]
	switch coerce.typ {
	case coerceMultiply:
		return multiply(coerce.factor)
	case coerceDivide:
		return divide(coerce.factor)
	default:
		panic("invalid coercion")
	}
}

const (
	julianEpochOffsetDays int64 = 2440588
	nanoSecondsPerDay           = 24 * 60 * 60 * 1000 * 1000 * 1000
)

func arrowTimestampToImpalaTimestamp(unit arrow.TimeUnit, t int64, out *parquet.Int96) {
	var d time.Duration
	switch unit {
	case arrow.Second:
		d = time.Duration(t) * time.Second
	case arrow.Microsecond:
		d = time.Duration(t) * time.Microsecond
	case arrow.Millisecond:
		d = time.Duration(t) * time.Millisecond
	case arrow.Nanosecond:
		d = time.Duration(t) * time.Nanosecond
	}

	julianDays := (int64(d.Hours()) / 24) + julianEpochOffsetDays
	lastDayNanos := t % (nanoSecondsPerDay)
	binary.LittleEndian.PutUint64((*out)[:8], uint64(lastDayNanos))
	binary.LittleEndian.PutUint32((*out)[8:], uint32(julianDays))
}