Title: Move info_utils errors to exceptions module
State: closed

Move `info_utils` errors to `exceptions` module.

Additionally rename some of them, deprecate the former ones, and make the deprecation backward compatible (by making the new errors inherit from the former ones).

Comments:
The docs for this PR live [here](https://moon-ci-docs.huggingface.co/docs/datasets/pr_6952). All of your documentation changes will be reflected on that endpoint. The docs are available until 30 days after the last update.

<details>
<summary>Show benchmarks</summary>

PyArrow==8.0.0

<details>
<summary>Show updated benchmarks!</summary>

### Benchmark: benchmark_array_xd.json

| metric | read_batch_formatted_as_numpy after write_array2d | read_batch_formatted_as_numpy after write_flattened_sequence | read_batch_formatted_as_numpy after write_nested_sequence | read_batch_unformated after write_array2d | read_batch_unformated after write_flattened_sequence | read_batch_unformated after write_nested_sequence | read_col_formatted_as_numpy after write_array2d | read_col_formatted_as_numpy after write_flattened_sequence | read_col_formatted_as_numpy after write_nested_sequence | read_col_unformated after write_array2d | read_col_unformated after write_flattened_sequence | read_col_unformated after write_nested_sequence | read_formatted_as_numpy after write_array2d | read_formatted_as_numpy after write_flattened_sequence | read_formatted_as_numpy after write_nested_sequence | read_unformated after write_array2d | read_unformated after write_flattened_sequence | read_unformated after write_nested_sequence | write_array2d | write_flattened_sequence | write_nested_sequence |
|--------|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 0.005232 / 0.011353 (-0.006121) | 0.003744 / 0.011008 (-0.007264) | 0.064089 / 0.038508 (0.025581) | 0.032409 / 0.023109 (0.009300) | 0.255886 / 0.275898 (-0.020013) | 0.276033 / 0.323480 (-0.047447) | 0.004165 / 0.007986 (-0.003821) | 0.002741 / 0.004328 (-0.001588) | 0.052145 / 0.004250 (0.047894) | 0.043863 / 0.037052 (0.006811) | 0.258844 / 0.258489 (0.000355) | 0.290108 / 0.293841 (-0.003733) | 0.027390 / 0.128546 (-0.101156) | 0.010543 / 0.075646 (-0.065103) | 0.206936 / 0.419271 (-0.212335) | 0.036778 / 0.043533 (-0.006755) | 0.254331 / 0.255139 (-0.000808) | 0.279037 / 0.283200 (-0.004163) | 0.018564 / 0.141683 (-0.123119) | 1.112765 / 1.452155 (-0.339390) | 1.160099 / 1.492716 (-0.332617) |

### Benchmark: benchmark_getitem\_100B.json

| metric | get_batch_of\_1024\_random_rows | get_batch_of\_1024\_rows | get_first_row | get_last_row |
|--------|---|---|---|---|
| new / old (diff) | 0.092148 / 0.018006 (0.074142) | 0.297156 / 0.000490 (0.296667) | 0.000211 / 0.000200 (0.000011) | 0.000043 / 0.000054 (-0.000011) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.018797 / 0.037411 (-0.018615) | 0.062992 / 0.014526 (0.048466) | 0.076361 / 0.176557 (-0.100195) | 0.121168 / 0.737135 (-0.615968) | 0.075845 / 0.296338 (-0.220494) |

### Benchmark: benchmark_iterating.json

| metric | read 5000 | read 50000 | read_batch 50000 10 | read_batch 50000 100 | read_batch 50000 1000 | read_formatted numpy 5000 | read_formatted pandas 5000 | read_formatted tensorflow 5000 | read_formatted torch 5000 | read_formatted_batch numpy 5000 10 | read_formatted_batch numpy 5000 1000 | shuffled read 5000 | shuffled read 50000 | shuffled read_batch 50000 10 | shuffled read_batch 50000 100 | shuffled read_batch 50000 1000 | shuffled read_formatted numpy 5000 | shuffled read_formatted_batch numpy 5000 10 | shuffled read_formatted_batch numpy 5000 1000 |
|--------|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 0.293842 / 0.215209 (0.078633) | 2.880720 / 2.077655 (0.803065) | 1.477779 / 1.504120 (-0.026341) | 1.345136 / 1.541195 (-0.196059) | 1.352153 / 1.468490 (-0.116337) | 0.574722 / 4.584777 (-4.010055) | 2.373925 / 3.745712 (-1.371787) | 2.750704 / 5.269862 (-2.519157) | 1.725979 / 4.565676 (-2.839697) | 0.063006 / 0.424275 (-0.361269) | 0.005019 / 0.007607 (-0.002588) | 0.341228 / 0.226044 (0.115184) | 3.352576 / 2.268929 (1.083647) | 1.821363 / 55.444624 (-53.623261) | 1.529441 / 6.876477 (-5.347036) | 1.543401 / 2.142072 (-0.598671) | 0.634282 / 4.805227 (-4.170945) | 0.115565 / 6.500664 (-6.385099) | 0.042514 / 0.075469 (-0.032956) |

### Benchmark: benchmark_map_filter.json

| metric | filter | map fast-tokenizer batched | map identity | map identity batched | map no-op batched | map no-op batched numpy | map no-op batched pandas | map no-op batched pytorch | map no-op batched tensorflow |
|--------|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 0.987532 / 1.841788 (-0.854255) | 11.483853 / 8.074308 (3.409545) | 9.565657 / 10.191392 (-0.625735) | 0.141247 / 0.680424 (-0.539176) | 0.015026 / 0.534201 (-0.519175) | 0.299905 / 0.579283 (-0.279378) | 0.267667 / 0.434364 (-0.166697) | 0.320661 / 0.540337 (-0.219676) | 0.427368 / 1.386936 (-0.959568) |

</details>
PyArrow==latest

<details>
<summary>Show updated benchmarks!</summary>

### Benchmark: benchmark_array_xd.json

| metric | read_batch_formatted_as_numpy after write_array2d | read_batch_formatted_as_numpy after write_flattened_sequence | read_batch_formatted_as_numpy after write_nested_sequence | read_batch_unformated after write_array2d | read_batch_unformated after write_flattened_sequence | read_batch_unformated after write_nested_sequence | read_col_formatted_as_numpy after write_array2d | read_col_formatted_as_numpy after write_flattened_sequence | read_col_formatted_as_numpy after write_nested_sequence | read_col_unformated after write_array2d | read_col_unformated after write_flattened_sequence | read_col_unformated after write_nested_sequence | read_formatted_as_numpy after write_array2d | read_formatted_as_numpy after write_flattened_sequence | read_formatted_as_numpy after write_nested_sequence | read_unformated after write_array2d | read_unformated after write_flattened_sequence | read_unformated after write_nested_sequence | write_array2d | write_flattened_sequence | write_nested_sequence |
|--------|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 0.005448 / 0.011353 (-0.005905) | 0.003726 / 0.011008 (-0.007283) | 0.049776 / 0.038508 (0.011268) | 0.032733 / 0.023109 (0.009624) | 0.261387 / 0.275898 (-0.014511) | 0.280087 / 0.323480 (-0.043393) | 0.004351 / 0.007986 (-0.003634) | 0.002842 / 0.004328 (-0.001487) | 0.049440 / 0.004250 (0.045190) | 0.039585 / 0.037052 (0.002533) | 0.266331 / 0.258489 (0.007842) | 0.299643 / 0.293841 (0.005802) | 0.029649 / 0.128546 (-0.098897) | 0.010381 / 0.075646 (-0.065265) | 0.058596 / 0.419271 (-0.360676) | 0.033271 / 0.043533 (-0.010262) | 0.251070 / 0.255139 (-0.004069) | 0.272850 / 0.283200 (-0.010349) | 0.016728 / 0.141683 (-0.124955) | 1.146952 / 1.452155 (-0.305202) | 1.182602 / 1.492716 (-0.310114) |

### Benchmark: benchmark_getitem\_100B.json

| metric | get_batch_of\_1024\_random_rows | get_batch_of\_1024\_rows | get_first_row | get_last_row |
|--------|---|---|---|---|
| new / old (diff) | 0.091673 / 0.018006 (0.073667) | 0.297228 / 0.000490 (0.296738) | 0.000197 / 0.000200 (-0.000003) | 0.000051 / 0.000054 (-0.000003) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.023174 / 0.037411 (-0.014237) | 0.078866 / 0.014526 (0.064341) | 0.088436 / 0.176557 (-0.088121) | 0.129650 / 0.737135 (-0.607485) | 0.091100 / 0.296338 (-0.205238) |

### Benchmark: benchmark_iterating.json

| metric | read 5000 | read 50000 | read_batch 50000 10 | read_batch 50000 100 | read_batch 50000 1000 | read_formatted numpy 5000 | read_formatted pandas 5000 | read_formatted tensorflow 5000 | read_formatted torch 5000 | read_formatted_batch numpy 5000 10 | read_formatted_batch numpy 5000 1000 | shuffled read 5000 | shuffled read 50000 | shuffled read_batch 50000 10 | shuffled read_batch 50000 100 | shuffled read_batch 50000 1000 | shuffled read_formatted numpy 5000 | shuffled read_formatted_batch numpy 5000 10 | shuffled read_formatted_batch numpy 5000 1000 |
|--------|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 0.293882 / 0.215209 (0.078673) | 2.882667 / 2.077655 (0.805012) | 1.562949 / 1.504120 (0.058829) | 1.435104 / 1.541195 (-0.106090) | 1.450815 / 1.468490 (-0.017675) | 0.584090 / 4.584777 (-4.000687) | 0.984176 / 3.745712 (-2.761536) | 2.668740 / 5.269862 (-2.601121) | 1.766993 / 4.565676 (-2.798683) | 0.064710 / 0.424275 (-0.359565) | 0.005329 / 0.007607 (-0.002278) | 0.346008 / 0.226044 (0.119964) | 3.414576 / 2.268929 (1.145647) | 1.911388 / 55.444624 (-53.533236) | 1.660357 / 6.876477 (-5.216120) | 1.818628 / 2.142072 (-0.323444) | 0.659585 / 4.805227 (-4.145643) | 0.116980 / 6.500664 (-6.383684) | 0.041364 / 0.075469 (-0.034105) |

### Benchmark: benchmark_map_filter.json

| metric | filter | map fast-tokenizer batched | map identity | map identity batched | map no-op batched | map no-op batched numpy | map no-op batched pandas | map no-op batched pytorch | map no-op batched tensorflow |
|--------|---|---|---|---|---|---|---|---|---|
| new / old (diff) | 1.005659 / 1.841788 (-0.836129) | 12.023761 / 8.074308 (3.949453) | 10.351086 / 10.191392 (0.159694) | 0.143261 / 0.680424 (-0.537162) | 0.016143 / 0.534201 (-0.518058) | 0.287793 / 0.579283 (-0.291490) | 0.123698 / 0.434364 (-0.310666) | 0.325241 / 0.540337 (-0.215097) | 0.418772 / 1.386936 (-0.968164) |

</details>
</details>

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