From edf0d5436f4fb532bc835a3816edb64d34b94715 Mon Sep 17 00:00:00 2001 From: Hadley Wickham Date: Mon, 29 Aug 2022 10:16:18 -0500 Subject: [PATCH] Sketching out non-equi-joins --- diagrams/join-anti.png | Bin 27197 -> 0 bytes diagrams/join-inner.png | Bin 29595 -> 0 bytes diagrams/join-many-to-many.png | Bin 47564 -> 0 bytes diagrams/join-one-to-many.png | Bin 29569 -> 0 bytes diagrams/join-outer.png | Bin 120290 -> 0 bytes diagrams/join-semi-many.png | Bin 36895 -> 0 bytes diagrams/join-semi.png | Bin 27100 -> 0 bytes diagrams/join-setup.png | Bin 7389 -> 0 bytes diagrams/join-setup2.png | Bin 17205 -> 0 bytes diagrams/join-venn.png | Bin 51171 -> 0 bytes diagrams/join.graffle | Bin 27100 -> 280999 bytes diagrams/join/anti.png | Bin 0 -> 51208 bytes diagrams/join/following.png | Bin 0 -> 63258 bytes diagrams/join/gte.png | Bin 0 -> 78824 bytes diagrams/join/inner-both.png | Bin 0 -> 58346 bytes diagrams/join/inner.png | Bin 0 -> 56836 bytes diagrams/join/lt.png | Bin 0 -> 65894 bytes diagrams/join/many-to-many.png | Bin 0 -> 89669 bytes diagrams/join/one-to-many.png | Bin 0 -> 62080 bytes diagrams/join/outer.png | Bin 0 -> 225465 bytes diagrams/join/semi-many.png | Bin 0 -> 69998 bytes diagrams/join/semi.png | Bin 0 -> 51525 bytes diagrams/join/setup.png | Bin 0 -> 15714 bytes diagrams/join/setup2.png | Bin 0 -> 34437 bytes diagrams/join/venn.png | Bin 0 -> 60278 bytes joins.qmd | 155 +++++++++++++++++++++++++++------ 26 files changed, 130 insertions(+), 25 deletions(-) delete mode 100644 diagrams/join-anti.png delete mode 100644 diagrams/join-inner.png delete mode 100644 diagrams/join-many-to-many.png delete mode 100644 diagrams/join-one-to-many.png delete mode 100644 diagrams/join-outer.png delete mode 100644 diagrams/join-semi-many.png delete mode 100644 diagrams/join-semi.png delete mode 100644 diagrams/join-setup.png delete mode 100644 diagrams/join-setup2.png delete mode 100644 diagrams/join-venn.png create mode 100644 diagrams/join/anti.png create mode 100644 diagrams/join/following.png create mode 100644 diagrams/join/gte.png create mode 100644 diagrams/join/inner-both.png create mode 100644 diagrams/join/inner.png create mode 100644 diagrams/join/lt.png create mode 100644 diagrams/join/many-to-many.png create mode 100644 diagrams/join/one-to-many.png create mode 100644 diagrams/join/outer.png create mode 100644 diagrams/join/semi-many.png create mode 100644 diagrams/join/semi.png create mode 100644 diagrams/join/setup.png create mode 100644 diagrams/join/setup2.png create mode 100644 diagrams/join/venn.png diff --git a/diagrams/join-anti.png b/diagrams/join-anti.png deleted file mode 100644 index cb0a4a618870f7ccba0fa39e34845185f2d51139..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 27197 zcmZ_$1yqz@)HaL@ilm^VC<0PS4mETmoeoMfD4inRC82aPFq9xeDBbAL(xG&BNp}nU z5B{F_`QHDx*5_I}GxvS^?7h$4*S?M+>Z)@0@E+max^?TGg8U2Ety`F8;QJL0Cis_T z2|fWnFdSiWQn!lwsMf#_-1qW2j<;?-9lrUCaVNDR4HOu*e5LKAt)eVsY-h{y*2K=p zl*7&TJt%$amWZ1W_-bqF^p@7m*5;j~keevozY;>=`^{qr9qqp&PS&Dy+A8X_(smA} zv``LS4o*5TJX%^>5eE}9A=nGq|EUgsiPBj(IlUKxKwMp2Ib3-->>SJ?T!Mmv5Ke9g zH#a*d!S3k(&grci`#VSa{~Gx}?YuB`Gsb#A!$3?_YS6xj-Y)psK~#P|9{W^pML%; 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Right join: Only y is shaded, but not the area in x that doesn't #| intersect with y. -knitr::include_graphics("diagrams/join-venn.png") +knitr::include_graphics("diagrams/join/venn.png") ``` However, this is not a great representation. @@ -410,8 +412,6 @@ But that's not always the case. This section explains what happens when the keys are not unique. There are two possibilities: -TODO: update for new warnings - 1. One data frame has duplicate keys. This is useful when you want to add in additional information as there is typically a one-to-many relationship. @@ -427,31 +427,34 @@ TODO: update for new warnings #| (keys 1, 2, 2, and 1) and 3 columns (val_x, key, val_y). All values #| from x$val_x are carried along, values in y for key 1 and 2 are duplicated. - knitr::include_graphics("diagrams/join-one-to-many.png") + knitr::include_graphics("diagrams/join/one-to-many.png") ``` Note that we've put the key column in a slightly different position in the output. This reflects that the key is a primary key in `y` and a foreign key in `x`. ```{r} - x <- tribble( + x2 <- tribble( ~key, ~val_x, 1, "x1", 2, "x2", 2, "x3", 1, "x4" ) - y <- tribble( + y2 <- tribble( ~key, ~val_y, 1, "y1", 2, "y2" ) - left_join(x, y, by = "key") + left_join(x2, y2, by = "key") ``` 2. Both data frames have duplicate keys. - This is usually an error because in neither data frame do the keys uniquely identify an observation. - When you join duplicated keys, you get all possible combinations, the Cartesian product: + This is usually a mistake error because in neither data frame do the keys uniquely identify an observation. + When you join duplicated keys, you get all possible combinations, the Cartesian product. + dplyr will warn you about this situation so that you can fix the underlying data, pick a single match with `multiple = "any"`, or state that this is what you want with `multiple = "all"`. + + ```{r} #| echo: false @@ -465,25 +468,27 @@ TODO: update for new warnings #| with 6 rows (keys 1, 2, 2, 2, 2, and 3) and 3 columns (key, val_x, #| val_y). All values from both datasets are included. - knitr::include_graphics("diagrams/join-many-to-many.png") + knitr::include_graphics("diagrams/join/many-to-many.png") ``` ```{r} - x <- tribble( + x3 <- tribble( ~key, ~val_x, 1, "x1", 2, "x2", 2, "x3", 3, "x4" ) - y <- tribble( + y3 <- tribble( ~key, ~val_y, 1, "y1", 2, "y2", 2, "y3", 3, "y4" ) - left_join(x, y, by = "key") + left_join(x3, y3, by = "key") + left_join(x3, y3, by = "key", multiple = "any") + left_join(x3, y3, by = "key", multiple = "all") ``` ### Defining the key columns {#sec-join-by} @@ -573,11 +578,111 @@ You can use other values for `by` to connect the data frames in other ways: ## Non-equi joins -`join_by()` +So far we've focused on the so called "equi-joins" because the joins are defined by equality: the keys in x must be equal to the keys in y for the rows to match. +This allows us to make an important simplification in both the diagrams and the return values of the join frames: we only ever include the join key from one table. +We can request that dplyr keep both keys with `keep = TRUE`. +This is shown in the code below and in @fig-inner-both. -Rolling joins +```{r} +x |> left_join(y, by = "key", keep = TRUE) +``` -Overlap joins +```{r} +#| label: fig-inner-both +#| fig-cap: > +#| Inner join showing keys from both `x` and `y`. This is not the +#| default because for equi-joins, the keys are the same so showing +#| both doesn't add anything. +#| echo: false +#| out-width: null + +knitr::include_graphics("diagrams/join/inner-both.png", dpi = 270) +``` + +This distinction between the keys becomes much more important as we move away from equi-joins because the key values are much more likely to be different. +Because of this, dplyr defaults to showing both keys. +For example, instead of requiring that the `x` and `y` keys be equal, we could request that key from `x` be less than the key from `y`, as in the code below and @fig-join-lt. + +```{r} +x |> inner_join(y, join_by(key < key)) +``` + +```{r} +#| label: fig-join-lt +#| echo: false +#| fig-cap: > +#| A non-equijoin where the `x` key must be less than the `y` key. +knitr::include_graphics("diagrams/join/lt.png", dpi = 270) +``` + +The most important change in a non-equi join is that there's no longer a one-to-one match between the rows. + +### `join_by()` + +Let's circle back to the syntax --- to perform non-equi-joins you must use `join_by()`. +You can use `join_by()` for equi-joins: + +- `by = c("x", "y")` is equivalent to `join_by(x == x, y == y)`. +- `by = c("a" = "x", "b" = "y")` is equivalent to `join_by(a == x, b == y)`. + +Sometimes it feels a bit confusing to repeat the name of variable twice, so you can optionally declare which table it comes from by using `x$` or `y$`, e.g. `join_by(x$x == y$x)` + +But the real power comes from the three additional types of join that it provides: + +- **Inequality-joins** use `<`, `<=`, `>`, `>=` instead of `==`. +- **Rolling joins** use `following(x, y)` and `preceding(x, y).` +- **Overlap joins** use `between(x$val, y$lower, y$upper)`, `within(x$lower, x$upper, y$lower, y$upper)` and `overlaps(x$lower, x$upper, y$lower, y$upper).` + +Each of these is described in more detail below. + +### Inequality joins + +Inequality joins are extremely general, so general that it's hard to find specific meaning use cases. +One small useful technique is to generate all pairs: + +```{r} +df <- tibble(id = 1:4, name = c("John", "Simon", "Tracy", "Max")) + +df |> left_join(df, join_by(id < id)) +``` + +Here we perform a self-join (i.e we join a table to itself), then use the inequality join to ensure that we one of the two possible pairs (e.g. just (a, b) not also (b, a)) and don't match the same row. + +### Rolling joins + +Rolling joins are sort of a special type of inequality join --- instead of getting *every* row where `x > y` you just get the first row. +They're particularly useful when you have two tables of dates that don't perfectly line up and you want to find (e.g.) the closest date in table 1 that matches some date in table 2. + +### Overlap joins + +Birthday party + +Find all flights in the air + +```{r} +flights2 <- flights |> + mutate( + dep_date_time = lubridate::make_datetime(year, month, day, dep_time %/% 100, dep_time %% 100), + arr_date_time = lubridate::make_datetime(year, month, day, arr_time %/% 100, arr_time %% 100), + arr_date_time = if_else(arr_date_time < dep_date_time, arr_date_time + lubridate::days(1), arr_date_time), + id = row_number() + ) |> + select(id, dep_date_time, arr_date_time, origin, dest, carrier, flight) +flights2 + +flights2 |> + inner_join(flights2, join_by(origin, dest, overlaps(dep_date_time, arr_date_time, dep_date_time, arr_date_time), id < id)) +``` + +### Exercises + +1. What's going on with the keys in the following `full_join()`? + + ```{r} + x |> full_join(y, by = "key") + + x |> full_join(y, by = "key", keep = TRUE) + ``` ## Filtering joins {#sec-filtering-joins} @@ -628,7 +733,7 @@ Graphically, a semi-join looks like this: #| two results in a data frame with two rows and two columns (key and val_x), #| with keys 1 and 2 (the only keys that match between the two data frames). -knitr::include_graphics("diagrams/join-semi.png") +knitr::include_graphics("diagrams/join/semi.png") ``` Only the existence of a match is important; it doesn't matter which observation is matched. @@ -645,7 +750,7 @@ This means that filtering joins never duplicate rows like mutating joins do: #| frame with four rows and two columns (key and val_x), with keys 1, 2, 2, #| and 3 (the matching keys, each appearing as many times as they do in x). -knitr::include_graphics("diagrams/join-semi-many.png") +knitr::include_graphics("diagrams/join/semi-many.png") ``` The inverse of a semi-join is an anti-join. @@ -661,7 +766,7 @@ An anti-join keeps the rows that *don't* have a match: #| two results in a data frame with one row and two columns (key and val_x), #| with keys 3 only (the only key in x that is not in y). -knitr::include_graphics("diagrams/join-anti.png") +knitr::include_graphics("diagrams/join/anti.png") ``` Anti-joins are useful for diagnosing join mismatches.

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