Add float8_e4m3#161
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Peter, Jake, whenever you have time, could you please review this pull request? |
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@apivovarov I'm on vacation this week, but I'll take a look next week. Sorry for the delay... |
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Hi Peter, it seems this PR got overlooked. @hawkinsp BTW, I've also attached a link to the StableHLO [RFC] Add f8E4M3 and f8E3M4 types support openxla/stablehlo#2486 Not sure what change should be merged first StableHLO or ml_dtypes. |
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This looks good to me. Would you mind also adding an entry to the changelog?
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The linter is also sad, please fix. |
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And it doesn't matter whether the stablehlo change or the ml_dtypes change is merged first, really, they aren't directly coupled. |
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Linter is still sad. |
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Fixed. |
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### Summary This is a proposal to add `Float8E4M3` and `Float8E3M4` floating point types to StableHLO. Feedback welcome, see [RFC: Float8E4M3 and Float8E3M4](https://github.com/apivovarov/stablehlo/blob/rfc_f8E4M3_f8E3M4/rfcs/20240808-f8E4M3_f8E3M4.md) for more details. ### References and Links - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - [RFC: FP8 in StableHLO](https://github.com/openxla/stablehlo/blob/main/rfcs/20221031-fp8.md) - [RFC: Float8E4M3FNUZ and Float8E5M2FNUZ](https://github.com/openxla/stablehlo/blob/main/rfcs/20230321-fp8_fnuz.md) - StableHLO [PR-2482](#2482) Add f8E4M3 and f8E3M4 types support - [Amazon EC2 Trn1 Instances](https://aws.amazon.com/ec2/instance-types/trn1/) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-16585](openxla/xla#16585) Add support for float8_e4m3
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This PR adds f8E4M3 and f8E3M4 types support.
f8E4M3 and f8E3M4 types follow IEEE 754 convention.
```c
f8E4M3 (IEEE 754)
- Exponent bias: 7
- Maximum stored exponent value: 14 (binary 1110)
- Maximum unbiased exponent value: 14 - 7 = 7
- Minimum stored exponent value: 1 (binary 0001)
- Minimum unbiased exponent value: 1 − 7 = −6
- Precision specifies the total number of bits used for the significand (mantisa),
including implicit leading integer bit = 3 + 1 = 4
- Follows IEEE 754 conventions for representation of special values
- Has Positive and Negative zero
- Has Positive and Negative infinity
- Has NaNs
Additional details:
- Max exp (unbiased): 7
- Min exp (unbiased): -6
- Infinities (+/-): S.1111.000
- Zeros (+/-): S.0000.000
- NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111}
- Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240
- Min normal number: S.0001.000 = +/-2^(-6)
- Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7
- Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9)
```
```c
f8E3M4 (IEEE 754)
- Exponent bias: 3
- Maximum stored exponent value: 6 (binary 110)
- Maximum unbiased exponent value: 6 - 3 = 3
- Minimum stored exponent value: 1 (binary 001)
- Minimum unbiased exponent value: 1 − 3 = −2
- Precision specifies the total number of bits used for the significand (mantissa),
including implicit leading integer bit = 4 + 1 = 5
- Follows IEEE 754 conventions for representation of special values
- Has Positive and Negative zero
- Has Positive and Negative infinity
- Has NaNs
Additional details:
- Max exp (unbiased): 3
- Min exp (unbiased): -2
- Infinities (+/-): S.111.0000
- Zeros (+/-): S.000.0000
- NaNs: S.111.{0,1}⁴ except S.111.0000
- Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5
- Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2)
- Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6)
- Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6)
```
Related PRs:
- LLVM [PR-97179](llvm/llvm-project#97179)
[APFloat] Add support for f8E4M3 IEEE 754 type (Merged)
- LLVM [PR-97118](llvm/llvm-project#97118)
[MLIR] Add f8E4M3 IEEE 754 type (Merged)
- LLVM [PR-99698](llvm/llvm-project#99698)
[APFloat] Add support for f8E3M4 IEEE 754 type (Merged)
- LLVM [PR-101230](llvm/llvm-project#101230)
[MLIR] Add f8E3M4 IEEE 754 type (Merged)
- StableHLO [PR-2486](#2486)
[RFC] Add f8E4M3 and f8E3M4 types support
- ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add
float8_e4m3 (Merged)
- ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add
float8_e3m4 (Merged)
- XLA [PR-16585](openxla/xla#16585) Add support
for float8_e4m3
This was referenced Sep 11, 2024
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes openxla/xla#17075 PiperOrigin-RevId: 674396944
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes openxla/xla#17075 PiperOrigin-RevId: 674396944
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes #17075 PiperOrigin-RevId: 674396944
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes openxla/xla#17075 PiperOrigin-RevId: 675687080
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes #17075 PiperOrigin-RevId: 675687080
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ml_dtypes Updates: Add float8_e4m3 and float8_e3m4 types support Fix float divmod with zero denominator Add int2 and uint2 types ml_dtypes/commits Related PRs ml_dtypes PR Add float8_e4m3 jax-ml/ml_dtypes#161 Add float8_e4m3 (Merged) XLA PR Add support for float8_e4m3 #16585 (In Review) This closes openxla/xla#17075 PiperOrigin-RevId: 675687080
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 FUTURE_COPYBARA_INTEGRATE_REVIEW=openxla/xla#16585 from apivovarov:float8_e4m3 ec1c723027012a816d7e17f268c5f034863696e6 PiperOrigin-RevId: 680651037
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 PiperOrigin-RevId: 681551979
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Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 PiperOrigin-RevId: 681551979
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Imported from GitHub PR #16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 COPYBARA_INTEGRATE_REVIEW=#16585 from apivovarov:float8_e4m3 ec1c723 PiperOrigin-RevId: 681551979
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Oct 2, 2024
Imported from GitHub PR openxla/xla#16585 This PR adds f8E4M3 and f8E3M4 types support to XLA (mainly to cpu_compiler). ### `f8E4M3` type follows IEEE 754 convention. ```c f8E4M3 (IEEE 754) - Exponent bias: 7 - Maximum stored exponent value: 14 (binary 1110) - Maximum unbiased exponent value: 14 - 7 = 7 - Minimum stored exponent value: 1 (binary 0001) - Minimum unbiased exponent value: 1 − 7 = −6 - Precision specifies the total number of bits used for the significand (mantisa), including implicit leading integer bit = 3 + 1 = 4 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 7 - Min exp (unbiased): -6 - Infinities (+/-): S.1111.000 - Zeros (+/-): S.0000.000 - NaNs: S.1111.{001, 010, 011, 100, 101, 110, 111} - Max normal number: S.1110.111 = +/-2^(7) x (1 + 0.875) = +/-240 - Min normal number: S.0001.000 = +/-2^(-6) - Max subnormal number: S.0000.111 = +/-2^(-6) x 0.875 = +/-2^(-9) x 7 - Min subnormal number: S.0000.001 = +/-2^(-6) x 0.125 = +/-2^(-9) ``` ### `f8E3M4` type follows IEEE 754 convention ```c f8E3M4 (IEEE 754) - Exponent bias: 3 - Maximum stored exponent value: 6 (binary 110) - Maximum unbiased exponent value: 6 - 3 = 3 - Minimum stored exponent value: 1 (binary 001) - Minimum unbiased exponent value: 1 − 3 = −2 - Precision specifies the total number of bits used for the significand (mantissa), including implicit leading integer bit = 4 + 1 = 5 - Follows IEEE 754 conventions for representation of special values - Has Positive and Negative zero - Has Positive and Negative infinity - Has NaNs Additional details: - Max exp (unbiased): 3 - Min exp (unbiased): -2 - Infinities (+/-): S.111.0000 - Zeros (+/-): S.000.0000 - NaNs: S.111.{0,1}⁴ except S.111.0000 - Max normal number: S.110.1111 = +/-2^(6-3) x (1 + 15/16) = +/-2^3 x 31 x 2^(-4) = +/-15.5 - Min normal number: S.001.0000 = +/-2^(1-3) x (1 + 0) = +/-2^(-2) - Max subnormal number: S.000.1111 = +/-2^(-2) x 15/16 = +/-2^(-2) x 15 x 2^(-4) = +/-15 x 2^(-6) - Min subnormal number: S.000.0001 = +/-2^(-2) x 1/16 = +/-2^(-2) x 2^(-4) = +/-2^(-6) ``` ### Testing: ``` bazel test \ //xla:array2d_test \ //xla:fp_util_test \ //xla:literal_comparison_test \ //xla:literal_test \ //xla/mlir/utils:type_util_test \ //xla:primitive_util_test \ //xla/python/ifrt:dtype_test \ //xla/python:xla_client_test \ //xla/service:elemental_ir_emitter_test \ //xla/service:float_normalization_test \ //xla/service/gpu/tests:float_conversions_test \ //xla/tests:array_elementwise_ops_test \ //xla/tests:constants_test \ //xla/tests:convert_test \ //xla/tests:float8_test \ //xla:util_test bazel test \ //xla/hlo/translate/hlo_to_mhlo/tests:import.hlo.test \ //xla/hlo/translate/mhlo_to_hlo/tests:export.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/hlo-legalize-to-stablehlo.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/ops.mlir.test \ //xla/mlir_hlo/tests:Dialect/mhlo/stablehlo-legalize-to-hlo.mlir.test ``` ### Related PRs: - LLVM [PR-97179](llvm/llvm-project#97179) [APFloat] Add support for f8E4M3 IEEE 754 type (Merged) - LLVM [PR-97118](llvm/llvm-project#97118) [MLIR] Add f8E4M3 IEEE 754 type (Merged) - LLVM [PR-99698](llvm/llvm-project#99698) [APFloat] Add support for f8E3M4 IEEE 754 type (Merged) - LLVM [PR-101230](llvm/llvm-project#101230) [MLIR] Add f8E3M4 IEEE 754 type (Merged) - StableHLO [PR-2486](openxla/stablehlo#2486) [RFC] Add f8E4M3 and f8E3M4 types support (Merged) - StableHLO [PR-2482](openxla/stablehlo#2482) Add f8E4M3 and f8E3M4 types support (Merged) - ml_dtypes [PR-161](jax-ml/ml_dtypes#161) Add float8_e4m3 (Merged) - ml_dtypes [PR-171](jax-ml/ml_dtypes#171) Add float8_e3m4 (Merged) - XLA [PR-17075](openxla/xla#17075) [TSL] Bump ml_dtypes. Add float8_e4m3, float8_e3m4 (Approved) - XLA [PR-3200](openxla/xla#3200) Add support for float8_e4m3fnuz and float8_e5m2fnuz (Template) - JAX [PR-23585](jax-ml/jax#23585) Add float8_e4m3 type support (in Review) Copybara import of the project: -- ec1c723027012a816d7e17f268c5f034863696e6 by Alexander Pivovarov <pivovaa@amazon.com>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 PiperOrigin-RevId: 681551979
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This PR adds
f8E4M3type.f8E4M3type follows IEEE 754 conventionRelated LLVM PRs:
RFCs:
Related ml_dtypes PRs:
C++ Testing
Tested as described in PR-123 Add CMakeLists for C++ tests