mongoose query within a time frame - mongodb

Question

I have this mongoose schema, it stores user's salary
const salarySchema = new mongoose.Schema(
{
userId: {
type: mongoose.Schema.Types.ObjectId,
ref: 'User',
required: true,
trim: true,
},
amount: {
type: String,
required: true,
trim: true,
},
paymentType: {
type: String,
required: true,
enum: [PAYMENT_TYPE],
default: PAYMENT_TYPE.MONTHLY,
},
startDate: {
type: Date,
required: true,
},
endDate: {
type: Date,
required: false,
default: null,
},
}
);
If I have a time frame given I want to query all salaries applicable to that time frame using startDate and endDate attributes.
This is the graphical representation of all possible combinations, The given time frame is April to March,
APRIL MARCH
| —------------FILTER--------------- |
| —-------- |
| —-------------------------------------------------- |
| —--------------------- |
| —------------------------- |
| —----- |
| —------- |
The final two should not be included in the result because it's not applicable to the given time frame.
And the there can be salary the endDate can be null and it represent the user active salary,
Basicaly I am storing the salary history also using start,end date.
{
$or: [
// DB record range is completely within provided range
{
startDate: { $gte: start, $lte: end },
endDate: { $gte: start, $lte: end },
},
// Provided range is completely within DB record range
{
startDate: { $lte: start },
$or: [{ endDate: { $gte: end } }, { endDate: null }],
},
// Left intersection
{
startDate: { $lte: start },
endDate: { $lte: end, $gte: start },
},
// Right intersection
{
startDate: { $gte: start, $lte: end },
$or: [{ endDate: { $gte: end } }, { endDate: null }],
},
],
},