【PaddlePaddle Hackathon 第四期】No1：为 Paddle 新增 finfo API

paddle/fluid/pybind/pybind.cc

@@ -71,6 +71,8 @@ limitations under the License. */
 #include "paddle/fluid/imperative/amp_auto_cast.h"
 #include "paddle/fluid/imperative/layer.h"
 #include "paddle/fluid/memory/allocation/allocator_strategy.h"
+#include "paddle/fluid/platform/bfloat16.h"
+#include "paddle/fluid/platform/float16.h"
 #include "paddle/fluid/prim/utils/utils.h"
 #ifdef PADDLE_WITH_CUDA
 #include "paddle/fluid/memory/allocation/cuda_ipc_allocator.h"
@@ -446,6 +448,73 @@ struct iinfo {
   }
 };
 
+struct finfo {
+  int64_t bits;
+  double eps;
+  double min;  // lowest()
+  double max;
+  double tiny;
+  double smallest_normal;  // min()
+  double resolution;
+  std::string dtype;
+
+  explicit finfo(const framework::proto::VarType::Type &type) {
+    switch (type) {
+      case framework::proto::VarType::FP16:
+        eps = std::numeric_limits<paddle::platform::float16>::epsilon();
+        min = std::numeric_limits<paddle::platform::float16>::lowest();
+        max = std::numeric_limits<paddle::platform::float16>::max();
+        smallest_normal = std::numeric_limits<paddle::platform::float16>::min();
+        tiny = smallest_normal;
+        resolution = std::pow(
+            10, -std::numeric_limits<paddle::platform::float16>::digits10);
+        bits = 16;
+        dtype = "float16";
+        break;
+      case framework::proto::VarType::FP32:
+      case framework::proto::VarType::COMPLEX64:
+        eps = std::numeric_limits<float>::epsilon();
+        min = std::numeric_limits<float>::lowest();
+        max = std::numeric_limits<float>::max();
+        smallest_normal = std::numeric_limits<float>::min();
+        tiny = smallest_normal;
+        resolution = std::pow(10, -std::numeric_limits<float>::digits10);
+        bits = 32;
+        dtype = "float32";
+        break;
+      case framework::proto::VarType::FP64:
+      case framework::proto::VarType::COMPLEX128:
+        eps = std::numeric_limits<double>::epsilon();
+        min = std::numeric_limits<double>::lowest();
+        max = std::numeric_limits<double>::max();
+        smallest_normal = std::numeric_limits<double>::min();
+        tiny = smallest_normal;
+        resolution = std::pow(10, -std::numeric_limits<double>::digits10);
+        bits = 64;
+        dtype = "float64";
+        break;
+      case framework::proto::VarType::BF16:
+        eps = std::numeric_limits<paddle::platform::bfloat16>::epsilon();
+        min = std::numeric_limits<paddle::platform::bfloat16>::lowest();
+        max = std::numeric_limits<paddle::platform::bfloat16>::max();
+        smallest_normal =
+            std::numeric_limits<paddle::platform::bfloat16>::min();
+        tiny = smallest_normal;
+        resolution = std::pow(
+            10, -std::numeric_limits<paddle::platform::bfloat16>::digits10);
+        bits = 16;
+        dtype = "bfloat16";
+        break;
+      default:
+        PADDLE_THROW(platform::errors::InvalidArgument(
+            "the argument of paddle.finfo can only be paddle.float32, "
+            "paddle.float64, paddle.float16, paddle.bfloat16"
+            "paddle.complex64, or paddle.complex128"));
+        break;
+    }
+  }
+};
+
 static PyObject *GetPythonAttribute(PyObject *obj, const char *attr_name) {
   // NOTE(zjl): PyObject_GetAttrString would return nullptr when attr_name
   // is not inside obj, but it would also set the error flag of Python.
@@ -667,6 +736,29 @@ PYBIND11_MODULE(libpaddle, m) {
         return oss.str();
       });
 
+  py::class_<finfo>(m, "finfo")
+      .def(py::init<const framework::proto::VarType::Type &>())
+      .def_readonly("min", &finfo::min)
+      .def_readonly("max", &finfo::max)
+      .def_readonly("bits", &finfo::bits)
+      .def_readonly("eps", &finfo::eps)
+      .def_readonly("resolution", &finfo::resolution)
+      .def_readonly("smallest_normal", &finfo::smallest_normal)
+      .def_readonly("tiny", &finfo::tiny)
+      .def_readonly("dtype", &finfo::dtype)
+      .def("__repr__", [](const finfo &a) {
+        std::ostringstream oss;
+        oss << "paddle.finfo(min=" << a.min;
+        oss << ", max=" << a.max;
+        oss << ", eps=" << a.eps;
+        oss << ", resolution=" << a.resolution;
+        oss << ", smallest_normal=" << a.smallest_normal;
+        oss << ", tiny=" << a.tiny;
+        oss << ", bits=" << a.bits;
+        oss << ", dtype=" << a.dtype << ")";
+        return oss.str();
+      });
+
   m.def("__set_bwd_prim_enabled",
         &paddle::prim::PrimCommonUtils::SetBwdPrimEnabled);
   m.def("_is_bwd_prim_enabled",

paddle/phi/common/bfloat16.h

@@ -373,7 +373,7 @@ struct numeric_limits<phi::dtype::bfloat16> {
   static const bool tinyness_before = false;
 
   HOSTDEVICE static phi::dtype::bfloat16(min)() {
-    return phi::dtype::raw_uint16_to_bfloat16(0x007f);
+    return phi::dtype::raw_uint16_to_bfloat16(0x0080);
   }
   HOSTDEVICE static phi::dtype::bfloat16 lowest() {
     return phi::dtype::raw_uint16_to_bfloat16(0xff7f);
@@ -382,7 +382,7 @@ struct numeric_limits<phi::dtype::bfloat16> {
     return phi::dtype::raw_uint16_to_bfloat16(0x7f7f);
   }
   HOSTDEVICE static phi::dtype::bfloat16 epsilon() {
-    return phi::dtype::raw_uint16_to_bfloat16(0x3400);
+    return phi::dtype::raw_uint16_to_bfloat16(0x3C00);
   }
   HOSTDEVICE static phi::dtype::bfloat16 round_error() {
     return phi::dtype::bfloat16(0.5);

paddle/phi/common/float16.h

@@ -1064,7 +1064,7 @@ struct numeric_limits<phi::dtype::float16> {
     return phi::dtype::raw_uint16_to_float16(0x7bff);
   }
   HOSTDEVICE static phi::dtype::float16 epsilon() {
-    return phi::dtype::raw_uint16_to_float16(0x0800);
+    return phi::dtype::raw_uint16_to_float16(0x1400);
   }
   HOSTDEVICE static phi::dtype::float16 round_error() {
     return phi::dtype::float16(0.5);

python/paddle/__init__.py

@@ -41,6 +41,7 @@
 from .fluid.lazy_init import LazyGuard  # noqa: F401
 
 from .framework.dtype import iinfo  # noqa: F401
+from .framework.dtype import finfo  # noqa: F401
 from .framework.dtype import dtype as dtype  # noqa: F401
 from .framework.dtype import uint8  # noqa: F401
 from .framework.dtype import int8  # noqa: F401
@@ -400,6 +401,7 @@
 disable_static()
 __all__ = [  # noqa
     'iinfo',
+    'finfo',
     'dtype',
     'uint8',
     'int8',

python/paddle/fluid/tests/unittests/test_iinfo_and_finfo.py

@@ -13,6 +13,7 @@
 # limitations under the License.
 
 import unittest
+from distutils.version import StrictVersion
 
 import numpy as np
 
@@ -48,6 +49,64 @@ def test_iinfo(self):
             self.assertEqual(xinfo.min, xninfo.min)
             self.assertEqual(xinfo.dtype, xninfo.dtype)
 
+    def test_finfo(self):
+
+        for paddle_dtype, np_dtype in [
+            (paddle.float32, np.float32),
+            (paddle.float64, np.float64),
+        ]:
+            xinfo = paddle.finfo(paddle_dtype)
+            xninfo = np.finfo(np_dtype)
+            self.assertEqual(xinfo.dtype, xninfo.dtype)
+            self.assertEqual(xinfo.bits, xninfo.bits)
+            self.assertAlmostEqual(xinfo.max, xninfo.max)
+            self.assertAlmostEqual(xinfo.min, xninfo.min)
+            self.assertAlmostEqual(xinfo.eps, xninfo.eps)
+            self.assertAlmostEqual(xinfo.tiny, xninfo.tiny)
+            self.assertAlmostEqual(xinfo.resolution, xninfo.resolution)
+            if StrictVersion(np.__version__) >= StrictVersion('1.22.0'):
+                self.assertAlmostEqual(
+                    xinfo.smallest_normal, xninfo.smallest_normal
+                )
+
+        for paddle_dtype, np_dtype in [
+            (paddle.complex64, np.complex64),
+            (paddle.complex128, np.complex128),
+        ]:
+            xinfo = paddle.finfo(paddle_dtype)
+            xninfo = np.finfo(np_dtype)
+            self.assertEqual(xinfo.dtype, xninfo.dtype)
+            self.assertEqual(xinfo.bits, xninfo.bits)
+            self.assertAlmostEqual(xinfo.max, xninfo.max, places=16)
+            self.assertAlmostEqual(xinfo.min, xninfo.min, places=16)
+            self.assertAlmostEqual(xinfo.eps, xninfo.eps, places=16)
+            self.assertAlmostEqual(xinfo.tiny, xninfo.tiny, places=16)
+            self.assertAlmostEqual(xinfo.resolution, xninfo.resolution)
+            if StrictVersion(np.__version__) >= StrictVersion('1.22.0'):
+                self.assertAlmostEqual(
+                    xinfo.smallest_normal, xninfo.smallest_normal, places=16
+                )
+
+        xinfo = paddle.finfo(paddle.float16)
+        self.assertEqual(xinfo.dtype, "float16")
+        self.assertEqual(xinfo.bits, 16)
+        self.assertAlmostEqual(xinfo.max, 65504.0)
+        self.assertAlmostEqual(xinfo.min, -65504.0)
+        self.assertAlmostEqual(xinfo.eps, 0.0009765625)
+        self.assertAlmostEqual(xinfo.tiny, 6.103515625e-05)
+        self.assertAlmostEqual(xinfo.resolution, 0.001)
+        self.assertAlmostEqual(xinfo.smallest_normal, 6.103515625e-05)
+
+        xinfo = paddle.finfo(paddle.bfloat16)
+        self.assertEqual(xinfo.dtype, "bfloat16")
+        self.assertEqual(xinfo.bits, 16)
+        self.assertAlmostEqual(xinfo.max, 3.3895313892515355e38)
+        self.assertAlmostEqual(xinfo.min, -3.3895313892515355e38)
+        self.assertAlmostEqual(xinfo.eps, 0.0078125)
+        self.assertAlmostEqual(xinfo.tiny, 1.1754943508222875e-38)
+        self.assertAlmostEqual(xinfo.resolution, 0.01)
+        self.assertAlmostEqual(xinfo.smallest_normal, 1.1754943508222875e-38)
+
 
 if __name__ == '__main__':
     unittest.main()

python/paddle/framework/dtype.py

@@ -13,6 +13,7 @@
 # limitations under the License.
 
 from ..fluid.core import VarDesc
+from ..fluid.core import finfo as core_finfo
 from ..fluid.core import iinfo as core_iinfo
 
 dtype = VarDesc.VarType
@@ -69,3 +70,45 @@ def iinfo(dtype):
 
     """
     return core_iinfo(dtype)
+
+
+def finfo(dtype):
+    """
+
+    ``paddle.finfo`` is a function that returns an object that represents the numerical properties of a floating point
+    ``paddle.dtype``.
+    This is similar to `numpy.finfo <https://numpy.org/doc/stable/reference/generated/numpy.finfo.html#numpy-finfo>`_.
+
+    Args:
+        dtype(paddle.dtype):  One of ``paddle.float16``, ``paddle.float32``, ``paddle.float64``, ``paddle.bfloat16``,
+            ``paddle.complex64``, and ``paddle.complex128``.
+
+    Returns:
+        An ``finfo`` object, which has the following 8 attributes:
+
+            - min(double): The smallest representable number (typically `-max`).
+            - max(double): The largest representable number.
+            - eps(double): The smallest representable number such that `1.0 + eps ≠ 1.0`.
+            - resolution(double): The approximate decimal resolution of this type, i.e., `10**-precision`.
+            - smallest_normal(double): The smallest positive normal number.
+            - tiny(double): The smallest positive normal number. Equivalent to smallest_normal.
+            - bits(int): The number of bits occupied by the type.
+            - dtype(str): The string name of the argument dtype.
+
+    Examples:
+        .. code-block:: python
+
+            import paddle
+
+            finfo_float32 = paddle.finfo(paddle.float32)
+            print(finfo_float32.min) # -3.40282e+38
+            print(finfo_float32.max) # 3.40282e+38
+            print(finfo_float32.eps) # 1.19209e-07
+            print(finfo_float32.resolution) # 1e-06
+            print(finfo_float32.smallest_normal) # 1.17549e-38
+            print(finfo_float32.tiny) # 1.17549e-38
+            print(finfo_float32.bits) # 32
+            print(finfo_float32.dtype) # float32
+
+    """
+    return core_finfo(dtype)