Operators

John Mount, Nina Zumel

2019-04-20

As of cdata version 1.0.8 cdata implements an operator notation for data transform.

The idea is simple, yet powerful. In fact it helps us find new names for the transforms: multiply to block records and factor to row records. These terms will become clear as we work examples.

First let’s start with some data.


d <- wrapr::build_frame(
   "model_id"  , "measure", "value" |
     1         , "AUC"    , 0.7     |
     1         , "R2"     , 0.4     |
     2         , "AUC"    , 0.8     |
     2         , "R2"     , 0.5     )

knitr::kable(d)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

In the above data we have two measurements each for two individuals (individuals identified by the “model_id” column). Using cdata’s rowrecs_to_blocks_spec() method we can capture a description of this record structure and transformation details.

library("cdata")

transform <- rowrecs_to_blocks_spec(
  wrapr::qchar_frame(
    "measure", "value" |
    "AUC"    , AUC     |
    "R2"     , R2      ),
  recordKeys = "model_id")

print(transform)
#> {
#>  row_record <- wrapr::qchar_frame(
#>    "model_id"  , "AUC", "R2" |
#>      .         , AUC  , R2   )
#>  row_keys <- c('model_id')
#> 
#>  # becomes
#> 
#>  block_record <- wrapr::qchar_frame(
#>    "model_id"  , "measure", "value" |
#>      .         , "AUC"    , AUC     |
#>      .         , "R2"     , R2      )
#>  block_keys <- c('model_id', 'measure')
#> 
#>  # args: c(checkNames = TRUE, checkKeys = TRUE, strict = FALSE)
#> }

Once we have this specification we can transform the data using operator notation.

We can collect the record blocks into rows by a “factor-out” (or aggregation/projection) step.

knitr::kable(d)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

d2 <- d %//% t(transform)

knitr::kable(d2)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5

We can expand record rows into blocks by a “multiplication” (or join) step.

knitr::kable(d2)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5

d3 <- d2 %**% transform

knitr::kable(d3)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

(%//% and %**% being two operators introduced by the cdata package.)

And the two operators have an inverse/adjoint relation.

knitr::kable(d)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

# identity
d4 <- d %//% t(transform) %**% transform

knitr::kable(d4)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

We can also pipe into the spec (and into its adjoint) using the wrapr dot pipe operator.

# reverse or adjoint/transpose operation specification
t_record_spec <- t(transform)

d %.>% 
  t_record_spec %.>%
  knitr::kable(.)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5

# using dot-pipe's bquote style .() execute immediate notation
d %.>% 
  .(t(transform)) %.>%
  knitr::kable(.)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5

# identity
d %.>% 
  .(t(transform)) %.>% 
  transform %.>%
  knitr::kable(.)
model_id measure value
1 AUC 0.7
1 R2 0.4
2 AUC 0.8
2 R2 0.5

And, of course, the exact same functionality for database tables.

have_db <- requireNamespace("DBI", quietly = TRUE) &&
   requireNamespace("RSQLite", quietly = TRUE)
raw_connection <- DBI::dbConnect(RSQLite::SQLite(), 
                                 ":memory:")
RSQLite::initExtension(raw_connection)
db <- rquery::rquery_db_info(
  connection = raw_connection,
  is_dbi = TRUE,
  connection_options = rquery::rq_connection_tests(raw_connection))

d_td <- rquery::rq_copy_to(db, "d", d)
ops <- d_td %//% t(transform)
cat(format(ops))
#> table(`d`; 
#>   model_id,
#>   measure,
#>   value) %.>%
#>  non_sql_node(., blocks_to_rowrecs(.))

rquery::execute(db, ops) %.>%
  knitr::kable(.)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5

d_td %.>% 
  .(t(transform)) %.>%
  rquery::execute(db, .) %.>%
  knitr::kable(.)
model_id AUC R2
1 0.7 0.4
2 0.8 0.5
DBI::dbDisconnect(raw_connection)

And that is truly fluid data manipulation.