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type_check.go
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type_check.go
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// Copyright 2021 - 2022 Matrix Origin
//
// 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.
package function
import (
"math"
"github.com/matrixorigin/matrixone/pkg/container/types"
)
// a fixed type cast rule for
// 1. Plus Sub Multi
// 2. Equal NotEqual
// 3. >= > < <=
// 4. Mod
func fixedTypeCastRule1(s1, s2 types.Type) (bool, types.Type, types.Type) {
check := fixedBinaryCastRule1[s1.Oid][s2.Oid]
if check.cast {
t1, t2 := check.left.ToType(), check.right.ToType()
// special case: null + type, null + null, type + null
if s1.Oid == types.T_any && s2.Oid == types.T_any {
return true, t1, t2
}
if s1.Oid == types.T_any {
return true, s2, s2
}
if s2.Oid == types.T_any {
return true, s1, s1
}
// too bad.
// but how to make sure we can let `time = varchar` always right if we want to convert varchar to be time.
if t1.Oid.IsDateRelate() {
if t1.Oid == t2.Oid {
if s1.Oid == t1.Oid {
return true, s1, s1
} else if s2.Oid == t2.Oid {
return true, s2, s2
}
}
}
if t1.Oid.IsArrayRelate() {
if t1.Oid == t2.Oid {
if s1.Oid == t1.Oid {
return true, s1, s1
} else if s2.Oid == t2.Oid {
return true, s2, s2
}
}
}
setTargetScaleFromSource(&s1, &t1)
setTargetScaleFromSource(&s2, &t2)
if (t1.Oid.IsArrayRelate() && t2.IsNumeric()) || (t1.IsNumeric() && t2.Oid.IsArrayRelate()) {
// Vector <Op> Scalar or
// Scalar <Op> Vector
if t1.Oid.IsArrayRelate() {
switch t1.Oid {
case types.T_array_float32:
return true, s1, types.T_float32.ToType()
case types.T_array_float64:
return true, s1, types.T_float64.ToType()
}
} else {
switch t1.Oid {
case types.T_array_float32:
return true, s2, types.T_float32.ToType()
case types.T_array_float64:
return true, s2, types.T_float64.ToType()
}
}
}
return true, t1, t2
}
return false, s1, s2
}
// a fixed type cast rule for
// 1. Div
// 2. IntegerDiv
func fixedTypeCastRule2(s1, s2 types.Type) (bool, types.Type, types.Type) {
check := fixedBinaryCastRule2[s1.Oid][s2.Oid]
if check.cast {
t1, t2 := check.left.ToType(), check.right.ToType()
// special case: null + type, null + null, type + null
if s1.Oid == types.T_any && s2.Oid == types.T_any {
return true, t1, t2
}
if s1.Oid == types.T_any {
return true, s2, s2
}
if s2.Oid == types.T_any {
return true, s1, s1
}
if t1.Oid.IsDateRelate() {
if t1.Oid == t2.Oid {
if s1.Oid == t1.Oid {
return true, s1, s1
} else if s2.Oid == t2.Oid {
return true, s2, s2
}
}
}
setTargetScaleFromSource(&s1, &t1)
setTargetScaleFromSource(&s2, &t2)
if t1.Oid.IsArrayRelate() && t2.IsNumeric() {
// Vector / Scalar => Vector
switch t1.Oid {
case types.T_array_float32:
return true, s1, types.T_float32.ToType()
case types.T_array_float64:
return true, s1, types.T_float64.ToType()
}
}
return true, t1, t2
}
return false, s1, s2
}
type matchCheckStatus int
const (
matchDirectly matchCheckStatus = 0
matchByCast matchCheckStatus = 1
matchFailed matchCheckStatus = 2
)
// a fixed type match method.
func fixedTypeMatch(overloads []overload, inputs []types.Type) checkResult {
minIndex := -1
minCost := math.MaxInt
for i, ov := range overloads {
if len(ov.args) != len(inputs) {
continue
}
sta, cos := tryToMatch(inputs, ov.args)
if sta == matchFailed {
continue
} else if sta == matchDirectly {
return newCheckResultWithSuccess(i)
} else {
if cos < minCost {
minIndex = i
minCost = cos
}
}
}
if minIndex == -1 {
return newCheckResultWithFailure(failedFunctionParametersWrong)
}
castType := make([]types.Type, len(inputs))
ov := overloads[minIndex]
for i := range castType {
if ov.args[i] == inputs[i].Oid {
castType[i] = inputs[i]
} else {
castType[i] = ov.args[i].ToType()
setTargetScaleFromSource(&inputs[i], &castType[i])
}
}
return newCheckResultWithCast(minIndex, castType)
}
// a fixed type match method without any type convert. (const null exception)
// if all parameters were `constant null`, match the first one whose number of parameters was same.
func fixedDirectlyTypeMatch(overload []overload, inputs []types.Type) checkResult {
for i, o := range overload {
if len(o.args) != len(inputs) {
continue
}
allSame := true
allNull := true
for j := range o.args {
if inputs[j].Oid == types.T_any {
continue
}
allNull = false
if o.args[j] != inputs[j].Oid {
allSame = false
break
}
}
if allSame || allNull {
return newCheckResultWithSuccess(i)
}
}
return newCheckResultWithFailure(failedFunctionParametersWrong)
}
// return whether `from` can match `to` implicitly, and match cost.
func tryToMatch(from []types.Type, to []types.T) (sta matchCheckStatus, cost int) {
if len(from) != len(to) {
return matchFailed, -1
}
l := len(from)
for i, source := range from {
if source.Oid == to[i] {
cost += 0
} else {
can, c := fixedImplicitTypeCast(source, to[i])
if !can {
return matchFailed, -1
}
if c == 1 {
cost += c
} else {
cost += c * l
}
}
}
if cost == 0 {
return matchDirectly, cost
}
return matchByCast, cost
}
// a fixed type implicit cast rule
// return can cast or not and cast cost.
func fixedImplicitTypeCast(from types.Type, to types.T) (canCast bool, cost int) {
if from.Oid == types.T_any {
return true, 1
}
rule := fixedCanImplicitCastRule[from.Oid].toList[to]
return rule.canCast, rule.preferLevel
}
// a fixed type check method for Agg(only one column).
// do not do any implicit type conversion.
func fixedUnaryAggTypeCheck(inputs []types.Type, supported []types.T) checkResult {
if len(inputs) == 1 && len(supported) > 0 {
t := inputs[0]
// if select agg(null), just match the first one.
if t.Oid == types.T_any {
return newCheckResultWithCast(0, []types.Type{supported[0].ToType()})
}
for _, supportT := range supported {
if t.Oid == supportT {
return newCheckResultWithSuccess(0)
}
}
}
return newCheckResultWithFailure(failedAggParametersWrong)
}
var fixedBinaryCastRule1 [300][300]tarTypes
var fixedBinaryCastRule2 [300][300]tarTypes
var fixedCanImplicitCastRule [300]implicitTypeCastRule
func setTargetScaleFromSource(source, target *types.Type) {
if source.Oid == target.Oid {
target.Width = source.Width
target.Scale = source.Scale
return
}
if target.IsFloat() {
if source.IsInt() || source.IsUInt() {
target.Scale = 0
} else if source.IsFloat() || source.IsDecimal() {
if target.Oid == types.T_float32 {
// significant figures of float32 are 7
target.Scale = int32(math.Min(float64(source.Scale), 7))
} else if target.Oid == types.T_float64 {
// significant figures of float64 are 16
target.Scale = int32(math.Min(float64(source.Scale), 16))
}
} else {
target.Scale = -1
}
}
if target.Oid == types.T_datetime {
if source.Oid.IsMySQLString() {
target.Scale = 6
} else if source.Oid.IsDateRelate() {
target.Scale = source.Scale
}
return
}
if target.Oid == types.T_time {
if source.Oid.IsMySQLString() {
target.Scale = 6
} else if source.Oid.IsDateRelate() {
target.Scale = source.Scale
}
return
}
if target.Oid == types.T_timestamp {
if source.Oid.IsMySQLString() {
target.Scale = 6
} else if source.Oid.IsDateRelate() {
target.Scale = source.Scale
}
return
}
if target.Oid == types.T_decimal64 {
if source.Oid.IsInteger() {
target.Scale = 0
} else if source.Oid.IsDateRelate() {
target.Scale = source.Scale
}
return
}
if target.Oid == types.T_decimal128 {
if source.Oid == types.T_decimal64 {
target.Scale = source.Scale
} else if source.Oid.IsInteger() {
target.Scale = 0
} else if source.Oid.IsDateRelate() {
target.Scale = source.Scale
}
return
}
}
func setMaxScaleFromSource(t *types.Type, source []types.Type) {
for i := range source {
if source[i].Oid == t.Oid {
if source[i].Scale > t.Scale {
t.Scale = source[i].Scale
}
}
}
}
func setMaxWidthFromSource(t *types.Type, source []types.Type) {
t.Width = -1
for i := range source {
if source[i].Oid == t.Oid || source[i].Oid.IsMySQLString() {
if source[i].Width > t.Width {
t.Width = source[i].Width
}
}
}
if t.Width == -1 {
t.Width = types.MaxVarBinaryLen
}
}
func setMaxScaleForAll(source []types.Type) {
maxScale := int32(math.MinInt32)
maxWidth := int32(math.MinInt32)
for _, t := range source {
if t.Scale > maxScale {
maxScale = t.Scale
}
if t.Width > maxWidth {
maxWidth = t.Width
}
}
for k := range source {
source[k].Scale = maxScale
source[k].Width = maxWidth
}
}
func initFixed1() {
// cast [0] + [1] ==> [2] + [3]
ru := [][4]types.T{
{types.T_any, types.T_any, types.T_int64, types.T_int64},
{types.T_any, types.T_bool, types.T_bool, types.T_bool},
{types.T_any, types.T_int8, types.T_int8, types.T_int8},
{types.T_any, types.T_int16, types.T_int16, types.T_int16},
{types.T_any, types.T_int32, types.T_int32, types.T_int32},
{types.T_any, types.T_int64, types.T_int64, types.T_int64},
{types.T_any, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_any, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_any, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_any, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_any, types.T_float32, types.T_float32, types.T_float32},
{types.T_any, types.T_float64, types.T_float64, types.T_float64},
{types.T_any, types.T_decimal64, types.T_decimal64, types.T_decimal64},
{types.T_any, types.T_decimal128, types.T_decimal128, types.T_decimal128},
{types.T_any, types.T_date, types.T_date, types.T_date},
{types.T_any, types.T_time, types.T_time, types.T_time},
{types.T_any, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_any, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_any, types.T_char, types.T_char, types.T_char},
{types.T_any, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_any, types.T_binary, types.T_binary, types.T_binary},
{types.T_any, types.T_varbinary, types.T_varbinary, types.T_varbinary},
{types.T_any, types.T_blob, types.T_blob, types.T_blob},
{types.T_any, types.T_text, types.T_text, types.T_text},
{types.T_any, types.T_json, types.T_json, types.T_json},
{types.T_bool, types.T_any, types.T_bool, types.T_bool},
{types.T_bool, types.T_int8, types.T_int8, types.T_int8},
{types.T_bool, types.T_int16, types.T_int16, types.T_int16},
{types.T_bool, types.T_int32, types.T_int32, types.T_int32},
{types.T_bool, types.T_int64, types.T_int64, types.T_int64},
{types.T_bool, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_bool, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_bool, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_bool, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_bool, types.T_char, types.T_bool, types.T_bool},
{types.T_bool, types.T_varchar, types.T_bool, types.T_bool},
{types.T_bool, types.T_binary, types.T_bool, types.T_bool},
{types.T_bool, types.T_varbinary, types.T_bool, types.T_bool},
{types.T_bool, types.T_blob, types.T_bool, types.T_bool},
{types.T_bool, types.T_text, types.T_bool, types.T_bool},
{types.T_int8, types.T_any, types.T_int8, types.T_int8},
{types.T_int8, types.T_bool, types.T_int8, types.T_int8},
{types.T_int8, types.T_int16, types.T_int16, types.T_int16},
{types.T_int8, types.T_int32, types.T_int32, types.T_int32},
{types.T_int8, types.T_int64, types.T_int64, types.T_int64},
{types.T_int8, types.T_uint8, types.T_int16, types.T_int16},
{types.T_int8, types.T_uint16, types.T_int32, types.T_int32},
{types.T_int8, types.T_uint32, types.T_int64, types.T_int64},
{types.T_int8, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_int8, types.T_float32, types.T_float64, types.T_float64},
{types.T_int8, types.T_float64, types.T_float64, types.T_float64},
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{types.T_date, types.T_int8, types.T_int64, types.T_int64},
{types.T_date, types.T_int16, types.T_int64, types.T_int64},
{types.T_date, types.T_int32, types.T_int64, types.T_int64},
{types.T_date, types.T_int64, types.T_int64, types.T_int64},
{types.T_date, types.T_uint8, types.T_int64, types.T_int64},
{types.T_date, types.T_uint16, types.T_int64, types.T_int64},
{types.T_date, types.T_uint32, types.T_int64, types.T_int64},
{types.T_date, types.T_uint64, types.T_int64, types.T_int64},
{types.T_date, types.T_decimal64, types.T_decimal64, types.T_decimal64},
{types.T_date, types.T_decimal128, types.T_decimal128, types.T_decimal128},
{types.T_date, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_date, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_date, types.T_char, types.T_date, types.T_date},
{types.T_date, types.T_varchar, types.T_date, types.T_date},
{types.T_date, types.T_binary, types.T_date, types.T_date},
{types.T_date, types.T_varbinary, types.T_date, types.T_date},
{types.T_date, types.T_blob, types.T_date, types.T_date},
{types.T_date, types.T_text, types.T_date, types.T_date},
{types.T_time, types.T_any, types.T_time, types.T_time},
{types.T_time, types.T_int8, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_int16, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_int32, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_int64, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_uint8, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_uint16, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_uint32, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_uint64, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_decimal64, types.T_decimal64, types.T_decimal64},
{types.T_time, types.T_decimal128, types.T_decimal128, types.T_decimal128},
{types.T_time, types.T_char, types.T_time, types.T_time},
{types.T_time, types.T_varchar, types.T_time, types.T_time},
{types.T_time, types.T_binary, types.T_time, types.T_time},
{types.T_time, types.T_varbinary, types.T_time, types.T_time},
{types.T_time, types.T_blob, types.T_time, types.T_time},
{types.T_time, types.T_text, types.T_time, types.T_time},
{types.T_datetime, types.T_any, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_int8, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_int16, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_int32, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_int64, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_uint8, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_uint16, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_uint32, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_uint64, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_decimal64, types.T_decimal64, types.T_decimal64},
{types.T_datetime, types.T_decimal128, types.T_decimal128, types.T_decimal128},
{types.T_datetime, types.T_date, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_datetime, types.T_char, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_varchar, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_binary, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_varbinary, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_blob, types.T_datetime, types.T_datetime},
{types.T_datetime, types.T_text, types.T_datetime, types.T_datetime},
{types.T_timestamp, types.T_any, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_int8, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_int16, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_int32, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_int64, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_uint8, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_uint16, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_uint32, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_uint64, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_decimal64, types.T_decimal64, types.T_decimal64},
{types.T_timestamp, types.T_decimal128, types.T_decimal128, types.T_decimal128},
{types.T_timestamp, types.T_date, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_datetime, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_char, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_varchar, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_binary, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_varbinary, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_blob, types.T_timestamp, types.T_timestamp},
{types.T_timestamp, types.T_text, types.T_timestamp, types.T_timestamp},
{types.T_char, types.T_any, types.T_char, types.T_char},
{types.T_char, types.T_bool, types.T_bool, types.T_bool},
{types.T_char, types.T_int8, types.T_int8, types.T_int8},
{types.T_char, types.T_int16, types.T_int16, types.T_int16},
{types.T_char, types.T_int32, types.T_int32, types.T_int32},
{types.T_char, types.T_int64, types.T_int64, types.T_int64},
{types.T_char, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_char, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_char, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_char, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_char, types.T_float32, types.T_float32, types.T_float32},
{types.T_char, types.T_float64, types.T_float64, types.T_float64},
{types.T_char, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_char, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_char, types.T_date, types.T_date, types.T_date},
{types.T_char, types.T_time, types.T_time, types.T_time},
{types.T_char, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_char, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_char, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_char, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_char, types.T_binary, types.T_char, types.T_char},
{types.T_char, types.T_varbinary, types.T_char, types.T_char},
{types.T_char, types.T_blob, types.T_char, types.T_char},
{types.T_char, types.T_text, types.T_char, types.T_char},
{types.T_varchar, types.T_any, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_bool, types.T_bool, types.T_bool},
{types.T_varchar, types.T_int8, types.T_int8, types.T_int8},
{types.T_varchar, types.T_int16, types.T_int16, types.T_int16},
{types.T_varchar, types.T_int32, types.T_int32, types.T_int32},
{types.T_varchar, types.T_int64, types.T_int64, types.T_int64},
{types.T_varchar, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_varchar, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_varchar, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_varchar, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_varchar, types.T_float32, types.T_float32, types.T_float32},
{types.T_varchar, types.T_float64, types.T_float64, types.T_float64},
{types.T_varchar, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_varchar, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_varchar, types.T_date, types.T_date, types.T_date},
{types.T_varchar, types.T_time, types.T_time, types.T_time},
{types.T_varchar, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_varchar, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_varchar, types.T_char, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_varchar, types.T_binary, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_varbinary, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_blob, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_text, types.T_varchar, types.T_varchar},
{types.T_varchar, types.T_array_float32, types.T_array_float32, types.T_array_float32},
{types.T_varchar, types.T_array_float64, types.T_array_float64, types.T_array_float64},
{types.T_json, types.T_any, types.T_json, types.T_json},
{types.T_json, types.T_bool, types.T_bool, types.T_bool},
{types.T_json, types.T_int8, types.T_int8, types.T_int8},
{types.T_json, types.T_int16, types.T_int16, types.T_int16},
{types.T_json, types.T_int32, types.T_int32, types.T_int32},
{types.T_json, types.T_int64, types.T_int64, types.T_int64},
{types.T_json, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_json, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_json, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_json, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_json, types.T_float32, types.T_float32, types.T_float32},
{types.T_json, types.T_float64, types.T_float64, types.T_float64},
{types.T_json, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_json, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_json, types.T_date, types.T_date, types.T_date},
{types.T_json, types.T_time, types.T_time, types.T_time},
{types.T_json, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_json, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_json, types.T_char, types.T_json, types.T_json},
{types.T_json, types.T_varchar, types.T_json, types.T_json},
{types.T_json, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_json, types.T_binary, types.T_json, types.T_json},
{types.T_json, types.T_varbinary, types.T_json, types.T_json},
{types.T_json, types.T_blob, types.T_json, types.T_json},
{types.T_json, types.T_text, types.T_json, types.T_json},
{types.T_uuid, types.T_char, types.T_uuid, types.T_uuid},
{types.T_uuid, types.T_varchar, types.T_uuid, types.T_uuid},
{types.T_uuid, types.T_binary, types.T_uuid, types.T_uuid},
{types.T_uuid, types.T_varbinary, types.T_uuid, types.T_uuid},
{types.T_uuid, types.T_blob, types.T_uuid, types.T_uuid},
{types.T_uuid, types.T_text, types.T_uuid, types.T_uuid},
{types.T_binary, types.T_any, types.T_binary, types.T_binary},
{types.T_binary, types.T_bool, types.T_bool, types.T_bool},
{types.T_binary, types.T_int8, types.T_int8, types.T_int8},
{types.T_binary, types.T_int16, types.T_int16, types.T_int16},
{types.T_binary, types.T_int32, types.T_int32, types.T_int32},
{types.T_binary, types.T_int64, types.T_int64, types.T_int64},
{types.T_binary, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_binary, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_binary, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_binary, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_binary, types.T_float32, types.T_float32, types.T_float32},
{types.T_binary, types.T_float64, types.T_float64, types.T_float64},
{types.T_binary, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_binary, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_binary, types.T_date, types.T_date, types.T_date},
{types.T_binary, types.T_time, types.T_time, types.T_time},
{types.T_binary, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_binary, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_binary, types.T_char, types.T_char, types.T_char},
{types.T_binary, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_binary, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_binary, types.T_varbinary, types.T_binary, types.T_binary},
{types.T_binary, types.T_blob, types.T_binary, types.T_binary},
{types.T_binary, types.T_text, types.T_binary, types.T_binary},
{types.T_varbinary, types.T_any, types.T_varbinary, types.T_varbinary},
{types.T_varbinary, types.T_bool, types.T_bool, types.T_bool},
{types.T_varbinary, types.T_int8, types.T_int8, types.T_int8},
{types.T_varbinary, types.T_int16, types.T_int16, types.T_int16},
{types.T_varbinary, types.T_int32, types.T_int32, types.T_int32},
{types.T_varbinary, types.T_int64, types.T_int64, types.T_int64},
{types.T_varbinary, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_varbinary, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_varbinary, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_varbinary, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_varbinary, types.T_float32, types.T_float32, types.T_float32},
{types.T_varbinary, types.T_float64, types.T_float64, types.T_float64},
{types.T_varbinary, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_varbinary, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_varbinary, types.T_date, types.T_date, types.T_date},
{types.T_varbinary, types.T_time, types.T_time, types.T_time},
{types.T_varbinary, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_varbinary, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_varbinary, types.T_char, types.T_char, types.T_char},
{types.T_varbinary, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_varbinary, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_varbinary, types.T_binary, types.T_binary, types.T_binary},
{types.T_varbinary, types.T_blob, types.T_varbinary, types.T_varbinary},
{types.T_varbinary, types.T_text, types.T_varbinary, types.T_varbinary},
{types.T_blob, types.T_any, types.T_blob, types.T_blob},
{types.T_blob, types.T_bool, types.T_bool, types.T_bool},
{types.T_blob, types.T_int8, types.T_int8, types.T_int8},
{types.T_blob, types.T_int16, types.T_int16, types.T_int16},
{types.T_blob, types.T_int32, types.T_int32, types.T_int32},
{types.T_blob, types.T_int64, types.T_int64, types.T_int64},
{types.T_blob, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_blob, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_blob, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_blob, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_blob, types.T_float32, types.T_float32, types.T_float32},
{types.T_blob, types.T_float64, types.T_float64, types.T_float64},
{types.T_blob, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_blob, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_blob, types.T_date, types.T_date, types.T_date},
{types.T_blob, types.T_time, types.T_time, types.T_time},
{types.T_blob, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_blob, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_blob, types.T_char, types.T_char, types.T_char},
{types.T_blob, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_blob, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_blob, types.T_binary, types.T_binary, types.T_binary},
{types.T_blob, types.T_varbinary, types.T_varbinary, types.T_varbinary},
{types.T_blob, types.T_text, types.T_blob, types.T_blob},
{types.T_text, types.T_any, types.T_text, types.T_text},
{types.T_text, types.T_bool, types.T_bool, types.T_bool},
{types.T_text, types.T_int8, types.T_int8, types.T_int8},
{types.T_text, types.T_int16, types.T_int16, types.T_int16},
{types.T_text, types.T_int32, types.T_int32, types.T_int32},
{types.T_text, types.T_int64, types.T_int64, types.T_int64},
{types.T_text, types.T_uint8, types.T_uint8, types.T_uint8},
{types.T_text, types.T_uint16, types.T_uint16, types.T_uint16},
{types.T_text, types.T_uint32, types.T_uint32, types.T_uint32},
{types.T_text, types.T_uint64, types.T_uint64, types.T_uint64},
{types.T_text, types.T_float32, types.T_float32, types.T_float32},
{types.T_text, types.T_float64, types.T_float64, types.T_float64},
{types.T_text, types.T_decimal64, types.T_float64, types.T_float64},
{types.T_text, types.T_decimal128, types.T_float64, types.T_float64},
{types.T_text, types.T_date, types.T_date, types.T_date},
{types.T_text, types.T_time, types.T_time, types.T_time},
{types.T_text, types.T_datetime, types.T_datetime, types.T_datetime},
{types.T_text, types.T_timestamp, types.T_timestamp, types.T_timestamp},
{types.T_text, types.T_char, types.T_char, types.T_char},
{types.T_text, types.T_varchar, types.T_varchar, types.T_varchar},
{types.T_text, types.T_uuid, types.T_uuid, types.T_uuid},
{types.T_text, types.T_binary, types.T_binary, types.T_binary},
{types.T_text, types.T_varbinary, types.T_varbinary, types.T_varbinary},
{types.T_text, types.T_blob, types.T_blob, types.T_blob},
{types.T_array_float32, types.T_varchar, types.T_array_float32, types.T_array_float32},
{types.T_array_float32, types.T_array_float64, types.T_array_float64, types.T_array_float64},
{types.T_array_float64, types.T_varchar, types.T_array_float64, types.T_array_float64},
{types.T_array_float64, types.T_array_float32, types.T_array_float64, types.T_array_float64},
/** VEC <Op> Scalar => VEC **/
// VECF32 <Op> Scalar => VECF32
{types.T_array_float32, types.T_uint8, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_uint16, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_uint32, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_uint64, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_int8, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_int16, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_int32, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_int64, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_float32, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_float64, types.T_array_float32, types.T_float32},
{types.T_array_float32, types.T_decimal64, types.T_array_float32, types.T_float32},
// VECF64 <Op> Scalar => VECF64
{types.T_array_float64, types.T_uint8, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_uint16, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_uint32, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_uint64, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_int8, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_int16, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_int32, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_int64, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_float32, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_float64, types.T_array_float64, types.T_float64},
{types.T_array_float64, types.T_decimal64, types.T_array_float64, types.T_float64},
// Scalar <Op> VECF32 => VECF32
{types.T_uint8, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_uint16, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_uint32, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_uint64, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_int8, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_int16, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_int32, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_int64, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_float32, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_float64, types.T_array_float32, types.T_float32, types.T_array_float32},
{types.T_decimal64, types.T_array_float32, types.T_float32, types.T_array_float32},
// Scalar <Op> VECF64 => VECF64
{types.T_uint8, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_uint16, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_uint32, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_uint64, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_int8, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_int16, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_int32, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_int64, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_float32, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_float64, types.T_array_float64, types.T_float64, types.T_array_float64},
{types.T_decimal64, types.T_array_float64, types.T_float64, types.T_array_float64},
// bit -> xx