Here is a solution without pushing previous documents into a new array and then processing them. (If the array gets too big then you can exceed the maximum BSON document size limit, the 16MB.)
Calculating running totals is as simple as:
db.collection1.aggregate(
[
{
$lookup: {
from: 'collection1',
let: { date_to: '$time' },
pipeline: [
{
$match: {
$expr: {
$lt: [ '$time', '$$date_to' ]
}
}
},
{
$group: {
_id: null,
summary: {
$sum: '$value'
}
}
}
],
as: 'sum_prev_days'
}
},
{
$addFields: {
sum_prev_days: {
$arrayElemAt: [ '$sum_prev_days', 0 ]
}
}
},
{
$addFields: {
running_total: {
$sum: [ '$value', '$sum_prev_days.summary' ]
}
}
},
{
$project: { sum_prev_days: 0 }
}
]
)
What we did: within the lookup we selected all documents with smaller datetime and immediately calculated the sum (using $group as the second step of lookup's pipeline). The $lookup put the value into the first element of an array. We pull the first array element and then calculate the sum: current value + sum of previous values.
If you would like to group transactions into days and after it calculate running totals then we need to insert $group to the beginning and also insert it into $lookup's pipeline.
db.collection1.aggregate(
[
{
$group: {
_id: {
$substrBytes: ['$time', 0, 10]
},
value: {
$sum: '$value'
}
}
},
{
$lookup: {
from: 'collection1',
let: { date_to: '$_id' },
pipeline: [
{
$group: {
_id: {
$substrBytes: ['$time', 0, 10]
},
value: {
$sum: '$value'
}
}
},
{
$match: {
$expr: {
$lt: [ '$_id', '$$date_to' ]
}
}
},
{
$group: {
_id: null,
summary: {
$sum: '$value'
}
}
}
],
as: 'sum_prev_days'
}
},
{
$addFields: {
sum_prev_days: {
$arrayElemAt: [ '$sum_prev_days', 0 ]
}
}
},
{
$addFields: {
running_total: {
$sum: [ '$value', '$sum_prev_days.summary' ]
}
}
},
{
$project: { sum_prev_days: 0 }
}
]
)
The result is:
{ "_id" : "2013-10-10", "value" : 3, "running_total" : 3 }
{ "_id" : "2013-10-11", "value" : 7, "running_total" : 10 }
{ "_id" : "2013-10-12", "value" : 5, "running_total" : 15 }