[RFC] Add f8E4M3 and f8E3M4 types support #2486
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Signal boosted this to XLA devs, and generally positive feedback. Will give this a week comment period but general consensus is LGTM. Summarizing some early feedback I've heard:
Also want to note that I'll continue socializing / signal boosting this, will report back additional feedback as I hear it / request feedback be left on the PR! |
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Hello! Yes sorry waiting on feedback from one more person from xla who said they wanted to look into this. Will follow up first thing tomorrow. |
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RFC LGTM. I wasn't able to get a hold of that last dev that wanted to chime in, but found a few proxy approvals internally who all agree that given that this is in IEEE and LLVM it should be good to go. Thanks for the contribution and apologies for the delay! |
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Great news! Thank you, Kevin, for you help and support! |
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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
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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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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 <[email protected]>: 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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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 <[email protected]>: Add support for float8_e4m3 and float8_e3m4 types Merging this change closes #16585 PiperOrigin-RevId: 681551979
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Summary
This is a proposal to add
Float8E4M3andFloat8E3M4floating point types to StableHLO.Feedback welcome, see RFC: Float8E4M3 and Float8E3M4 for more details.
References and Links