Make split slicing consistent with list slicing

Fix #1774, fix #5875 



The docs for this PR live [here](https://moon-ci-docs.huggingface.co/docs/datasets/pr_5891). All of your documentation changes will be reflected on that endpoint.

<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) | 0.006916 / 0.011353 (-0.004437) | 0.004749 / 0.011008 (-0.006259) | 0.096086 / 0.038508 (0.057578) | 0.035448 / 0.023109 (0.012338) | 0.299645 / 0.275898 (0.023747) | 0.331279 / 0.323480 (0.007799) | 0.006018 / 0.007986 (-0.001968) | 0.004210 / 0.004328 (-0.000118) | 0.072998 / 0.004250 (0.068747) | 0.050082 / 0.037052 (0.013030) | 0.297714 / 0.258489 (0.039225) | 0.365523 / 0.293841 (0.071682) | 0.028081 / 0.128546 (-0.100465) | 0.009072 / 0.075646 (-0.066574) | 0.327628 / 0.419271 (-0.091643) | 0.051165 / 0.043533 (0.007633) | 0.295091 / 0.255139 (0.039952) | 0.320052 / 0.283200 (0.036852) | 0.109841 / 0.141683 (-0.031842) | 1.467867 / 1.452155 (0.015712) | 1.572600 / 1.492716 (0.079884) |

### 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) | 0.281490 / 0.018006 (0.263484) | 0.499259 / 0.000490 (0.498770) | 0.000691 / 0.000200 (0.000491) | 0.000062 / 0.000054 (0.000008) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.027548 / 0.037411 (-0.009863) | 0.106592 / 0.014526 (0.092066) | 0.118654 / 0.176557 (-0.057902) | 0.174313 / 0.737135 (-0.562822) | 0.124491 / 0.296338 (-0.171848) |

### 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) | 0.399674 / 0.215209 (0.184465) | 3.984092 / 2.077655 (1.906437) | 1.790935 / 1.504120 (0.286815) | 1.593612 / 1.541195 (0.052417) | 1.694595 / 1.468490 (0.226105) | 0.517588 / 4.584777 (-4.067189) | 3.724353 / 3.745712 (-0.021359) | 3.244807 / 5.269862 (-2.025054) | 1.602929 / 4.565676 (-2.962748) | 0.065334 / 0.424275 (-0.358941) | 0.012259 / 0.007607 (0.004652) | 0.501355 / 0.226044 (0.275311) | 4.996546 / 2.268929 (2.727618) | 2.279333 / 55.444624 (-53.165291) | 1.940126 / 6.876477 (-4.936351) | 2.122945 / 2.142072 (-0.019128) | 0.626104 / 4.805227 (-4.179123) | 0.141278 / 6.500664 (-6.359386) | 0.064522 / 0.075469 (-0.010947) |

### 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) | 1.195351 / 1.841788 (-0.646436) | 15.258932 / 8.074308 (7.184624) | 14.627623 / 10.191392 (4.436231) | 0.266897 / 0.680424 (-0.413527) | 0.017557 / 0.534201 (-0.516644) | 0.392932 / 0.579283 (-0.186351) | 0.416409 / 0.434364 (-0.017955) | 0.469100 / 0.540337 (-0.071237) | 0.556247 / 1.386936 (-0.830689) |

</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) | 0.006880 / 0.011353 (-0.004473) | 0.004837 / 0.011008 (-0.006171) | 0.074518 / 0.038508 (0.036010) | 0.034204 / 0.023109 (0.011095) | 0.365100 / 0.275898 (0.089202) | 0.394976 / 0.323480 (0.071496) | 0.006364 / 0.007986 (-0.001621) | 0.004269 / 0.004328 (-0.000060) | 0.073531 / 0.004250 (0.069281) | 0.051334 / 0.037052 (0.014281) | 0.373904 / 0.258489 (0.115415) | 0.413662 / 0.293841 (0.119821) | 0.028779 / 0.128546 (-0.099767) | 0.009292 / 0.075646 (-0.066354) | 0.081574 / 0.419271 (-0.337698) | 0.046531 / 0.043533 (0.002998) | 0.368995 / 0.255139 (0.113856) | 0.376938 / 0.283200 (0.093739) | 0.112576 / 0.141683 (-0.029107) | 1.458880 / 1.452155 (0.006725) | 1.550918 / 1.492716 (0.058202) |

### 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) | 0.319521 / 0.018006 (0.301515) | 0.510146 / 0.000490 (0.509656) | 0.000438 / 0.000200 (0.000238) | 0.000059 / 0.000054 (0.000004) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.033082 / 0.037411 (-0.004329) | 0.118009 / 0.014526 (0.103483) | 0.127108 / 0.176557 (-0.049448) | 0.176600 / 0.737135 (-0.560535) | 0.133790 / 0.296338 (-0.162549) |

### 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) | 0.437360 / 0.215209 (0.222151) | 4.367426 / 2.077655 (2.289771) | 2.193646 / 1.504120 (0.689526) | 2.025002 / 1.541195 (0.483808) | 2.142347 / 1.468490 (0.673856) | 0.525497 / 4.584777 (-4.059280) | 3.751275 / 3.745712 (0.005563) | 1.912271 / 5.269862 (-3.357590) | 1.087286 / 4.565676 (-3.478390) | 0.066328 / 0.424275 (-0.357947) | 0.011904 / 0.007607 (0.004297) | 0.545870 / 0.226044 (0.319825) | 5.434481 / 2.268929 (3.165552) | 2.719745 / 55.444624 (-52.724880) | 2.445001 / 6.876477 (-4.431476) | 2.500205 / 2.142072 (0.358133) | 0.645735 / 4.805227 (-4.159492) | 0.144210 / 6.500664 (-6.356455) | 0.065688 / 0.075469 (-0.009781) |

### 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) | 1.273522 / 1.841788 (-0.568265) | 15.771778 / 8.074308 (7.697470) | 14.685261 / 10.191392 (4.493869) | 0.176523 / 0.680424 (-0.503900) | 0.017877 / 0.534201 (-0.516324) | 0.392687 / 0.579283 (-0.186596) | 0.449992 / 0.434364 (0.015628) | 0.462851 / 0.540337 (-0.077487) | 0.560178 / 1.386936 (-0.826758) |

</details>
</details>

![](https://cml.dev/watermark.png#0fa3ef6eba906ee1214e0596d15a78fc358909f4 "CML watermark")


Just curious how's this PR going? I was facing similar issues.

<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) | 0.005182 / 0.011353 (-0.006171) | 0.003642 / 0.011008 (-0.007366) | 0.063225 / 0.038508 (0.024717) | 0.030534 / 0.023109 (0.007425) | 0.247135 / 0.275898 (-0.028763) | 0.269880 / 0.323480 (-0.053600) | 0.003029 / 0.007986 (-0.004956) | 0.002656 / 0.004328 (-0.001673) | 0.048647 / 0.004250 (0.044397) | 0.043300 / 0.037052 (0.006247) | 0.261586 / 0.258489 (0.003097) | 0.288003 / 0.293841 (-0.005838) | 0.029556 / 0.128546 (-0.098990) | 0.010604 / 0.075646 (-0.065042) | 0.208228 / 0.419271 (-0.211043) | 0.036079 / 0.043533 (-0.007454) | 0.255650 / 0.255139 (0.000511) | 0.283756 / 0.283200 (0.000556) | 0.017992 / 0.141683 (-0.123691) | 1.134861 / 1.452155 (-0.317293) | 1.165310 / 1.492716 (-0.327406) |

### 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) | 0.090709 / 0.018006 (0.072702) | 0.301131 / 0.000490 (0.300641) | 0.000211 / 0.000200 (0.000011) | 0.000044 / 0.000054 (-0.000011) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.018186 / 0.037411 (-0.019225) | 0.061704 / 0.014526 (0.047178) | 0.074085 / 0.176557 (-0.102471) | 0.119107 / 0.737135 (-0.618029) | 0.074166 / 0.296338 (-0.222172) |

### 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) | 0.287430 / 0.215209 (0.072221) | 2.832602 / 2.077655 (0.754947) | 1.485971 / 1.504120 (-0.018149) | 1.366806 / 1.541195 (-0.174388) | 1.359044 / 1.468490 (-0.109446) | 0.583573 / 4.584777 (-4.001204) | 2.376348 / 3.745712 (-1.369364) | 2.766067 / 5.269862 (-2.503795) | 1.732066 / 4.565676 (-2.833610) | 0.064489 / 0.424275 (-0.359786) | 0.004974 / 0.007607 (-0.002633) | 0.343600 / 0.226044 (0.117555) | 3.392277 / 2.268929 (1.123349) | 1.840875 / 55.444624 (-53.603750) | 1.543068 / 6.876477 (-5.333409) | 1.573766 / 2.142072 (-0.568307) | 0.651920 / 4.805227 (-4.153308) | 0.117797 / 6.500664 (-6.382867) | 0.042248 / 0.075469 (-0.033221) |

### 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) | 0.976276 / 1.841788 (-0.865511) | 11.386207 / 8.074308 (3.311899) | 10.473297 / 10.191392 (0.281905) | 0.155482 / 0.680424 (-0.524942) | 0.014182 / 0.534201 (-0.520019) | 0.288501 / 0.579283 (-0.290782) | 0.263505 / 0.434364 (-0.170859) | 0.325396 / 0.540337 (-0.214942) | 0.428070 / 1.386936 (-0.958866) |

</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) | 0.005310 / 0.011353 (-0.006043) | 0.003510 / 0.011008 (-0.007498) | 0.049418 / 0.038508 (0.010910) | 0.031668 / 0.023109 (0.008559) | 0.266345 / 0.275898 (-0.009553) | 0.289230 / 0.323480 (-0.034249) | 0.004168 / 0.007986 (-0.003818) | 0.002769 / 0.004328 (-0.001559) | 0.049786 / 0.004250 (0.045536) | 0.044009 / 0.037052 (0.006957) | 0.281882 / 0.258489 (0.023393) | 0.309962 / 0.293841 (0.016121) | 0.047216 / 0.128546 (-0.081330) | 0.010661 / 0.075646 (-0.064986) | 0.058619 / 0.419271 (-0.360652) | 0.034658 / 0.043533 (-0.008875) | 0.269676 / 0.255139 (0.014537) | 0.288581 / 0.283200 (0.005381) | 0.018159 / 0.141683 (-0.123523) | 1.177047 / 1.452155 (-0.275107) | 1.206391 / 1.492716 (-0.286325) |

### 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) | 0.091422 / 0.018006 (0.073416) | 0.301936 / 0.000490 (0.301446) | 0.000204 / 0.000200 (0.000004) | 0.000045 / 0.000054 (-0.000009) |

### Benchmark: benchmark_indices_mapping.json

| metric | select | shard | shuffle | sort | train_test_split |
|--------|---|---|---|---|---|
| new / old (diff) | 0.022347 / 0.037411 (-0.015064) | 0.075856 / 0.014526 (0.061330) | 0.086459 / 0.176557 (-0.090097) | 0.124683 / 0.737135 (-0.612452) | 0.087559 / 0.296338 (-0.208779) |

### 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) | 0.287423 / 0.215209 (0.072214) | 2.840060 / 2.077655 (0.762405) | 1.561290 / 1.504120 (0.057170) | 1.442124 / 1.541195 (-0.099071) | 1.458619 / 1.468490 (-0.009871) | 0.578217 / 4.584777 (-4.006560) | 2.450982 / 3.745712 (-1.294731) | 2.685603 / 5.269862 (-2.584259) | 1.750036 / 4.565676 (-2.815640) | 0.063797 / 0.424275 (-0.360478) | 0.005158 / 0.007607 (-0.002449) | 0.342598 / 0.226044 (0.116553) | 3.356456 / 2.268929 (1.087527) | 1.913493 / 55.444624 (-53.531132) | 1.638930 / 6.876477 (-5.237547) | 1.751691 / 2.142072 (-0.390382) | 0.662609 / 4.805227 (-4.142619) | 0.117465 / 6.500664 (-6.383199) | 0.041316 / 0.075469 (-0.034153) |

### 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) | 1.019255 / 1.841788 (-0.822533) | 12.084293 / 8.074308 (4.009985) | 10.957918 / 10.191392 (0.766526) | 0.142433 / 0.680424 (-0.537991) | 0.015969 / 0.534201 (-0.518232) | 0.292411 / 0.579283 (-0.286872) | 0.278925 / 0.434364 (-0.155439) | 0.329967 / 0.540337 (-0.210370) | 0.421786 / 1.386936 (-0.965150) |

</details>
</details>

![](https://cml.dev/watermark.png#f9975f636542df7f95c27065ea93147440d690b7 "CML watermark")