mirror of
https://github.com/nlohmann/json.git
synced 2026-08-05 08:52:20 +00:00
docs: document the complexity of ordered_map operations (#5353)
* docs: document the complexity of ordered_map operations ordered_map stores its elements in a std::vector in insertion order and has no lookup index, so emplace, operator[], at, find, count, erase, and insert are all linear scans. The documentation stated no complexity for any operation, neither in ordered_map.md nor in ordered_json.md. Add a per-operation complexity table and note the consequence: building or parsing an ordered_json object of n keys is O(n^2). Measured with -O2 -DNDEBUG for parsing a flat object of n keys, ordered_json is 5x slower than json at n=2000 and 54x slower at n=16000, with the timings quadrupling per doubling of n. Cross-reference the table from ordered_json.md and from the object order page, which recommends ordered_json without mentioning the cost. Signed-off-by: Niels Lohmann <mail@nlohmann.me> * docs: move the Complexity section after Member functions scripts/check_structure.py enforces a fixed section order for pages under docs/mkdocs/docs/api, in which Complexity comes after Member functions. The section had been placed right after Iterator invalidation, which made ci_test_build_documentation fail with structure/section_order. No content change beyond the move; the table columns are realigned to the narrower content. Signed-off-by: Niels Lohmann <mail@nlohmann.me> --------- Signed-off-by: Niels Lohmann <mail@nlohmann.me>
This commit is contained in:
@@ -13,6 +13,12 @@ Therefore, adding object elements can yield a reallocation in which case all ite
|
||||
[`end()`](basic_json/end.md) iterator) and all references to the elements are invalidated. Also, any iterator or
|
||||
reference after the insertion point will point to the same index, which is now a different value.
|
||||
|
||||
## Complexity
|
||||
|
||||
[`ordered_map`](ordered_map.md) has no lookup index: every key-based object operation is a linear scan, so building or
|
||||
parsing an object of `n` keys costs O(n²) rather than O(n log n). See
|
||||
[`ordered_map` complexity](ordered_map.md#complexity) for the per-operation table and for measured numbers.
|
||||
|
||||
## Examples
|
||||
|
||||
??? example
|
||||
|
||||
@@ -56,6 +56,48 @@ std::equal_to<> // since C++14
|
||||
- **find**
|
||||
- **insert**
|
||||
|
||||
## Complexity
|
||||
|
||||
Because the elements are stored in a `std::vector` in insertion order, there is no index to look a key up by. Every
|
||||
key-based operation performs a **linear scan** over the stored elements. With `n` denoting the number of elements in the
|
||||
container:
|
||||
|
||||
| Operation | Complexity | Note |
|
||||
|----------------------------------------|----------------|----------------------------------------------------------|
|
||||
| **emplace** | O(n) | scans for an existing key, then appends (amortized O(1)) |
|
||||
| **operator\[\]** | O(n) | delegates to **emplace** (non-const) or **at** (const) |
|
||||
| **at** | O(n) | throws `#!cpp std::out_of_range` if the key is not found |
|
||||
| **find** | O(n) | |
|
||||
| **count** | O(n) | the result is always 0 or 1 |
|
||||
| **erase(key)** | O(n) | scan, then move the remaining elements one position down |
|
||||
| **erase(pos)**, **erase(first, last)** | O(n) | moves all elements after the erased range |
|
||||
| **insert(value)** | O(n) | equivalent to **emplace** |
|
||||
| **insert(first, last)** | O((n + m) * m) | for `m` inserted elements |
|
||||
|
||||
This differs from `#!cpp std::map`, where the same operations are O(log n).
|
||||
|
||||
!!! warning "Quadratic cost of building large objects"
|
||||
|
||||
Because every insertion scans all elements inserted so far, building an object of `n` distinct keys costs
|
||||
**O(n²)** in total. This applies to filling an [`ordered_json`](ordered_json.md) object key by key as well as to
|
||||
parsing one, since the parser inserts each key as it is read.
|
||||
|
||||
The cost is negligible for the object sizes typically found in configuration files or API payloads, but it grows
|
||||
steeply for machine-generated objects with many thousands of keys. Measured with `-O2 -DNDEBUG` for parsing a flat
|
||||
object of `n` keys, relative to `#!cpp nlohmann::json` (which uses `#!cpp std::map`):
|
||||
|
||||
| `n` | `json` | `ordered_json` | factor |
|
||||
|--------|--------|----------------|--------|
|
||||
| 2000 | 0.7 ms | 3.6 ms | 5× |
|
||||
| 4000 | 0.8 ms | 14.0 ms | 19× |
|
||||
| 8000 | 1.6 ms | 67.8 ms | 43× |
|
||||
| 16 000 | 3.3 ms | 181.6 ms | 54× |
|
||||
|
||||
If key order matters for objects of that size, consider a container with a lookup index, such as
|
||||
[`tsl::ordered_map`](https://github.com/Tessil/ordered-map)
|
||||
([integration](https://github.com/nlohmann/json/issues/546#issuecomment-304447518)), as the object type -- see
|
||||
[object order](../features/object_order.md).
|
||||
|
||||
## Examples
|
||||
|
||||
??? example
|
||||
|
||||
@@ -53,6 +53,12 @@ If you do want to preserve the **insertion order**, you can use the type [`nlohm
|
||||
|
||||
Alternatively, you can use a more sophisticated ordered map like [`tsl::ordered_map`](https://github.com/Tessil/ordered-map) ([integration](https://github.com/nlohmann/json/issues/546#issuecomment-304447518)) or [`nlohmann::fifo_map`](https://github.com/nlohmann/fifo_map) ([integration](https://github.com/nlohmann/json/issues/485#issuecomment-333652309)).
|
||||
|
||||
The [`ordered_map`](../api/ordered_map.md) behind `nlohmann::ordered_json` is deliberately minimal and has no lookup
|
||||
index, so every key access is a linear scan and building an object of `n` keys costs O(n²). This is unnoticeable at
|
||||
typical object sizes but becomes significant for objects with many thousands of keys; see
|
||||
[`ordered_map` complexity](../api/ordered_map.md#complexity). The alternatives above keep a lookup index and do not
|
||||
have this cost.
|
||||
|
||||
### Notes on parsing
|
||||
|
||||
Note that you also need to call the right [`parse`](../api/basic_json/parse.md) function when reading from a file.
|
||||
|
||||
Reference in New Issue
Block a user