fpq package

Submodules

fpq.fp module

fpq.fp.decode_d3d_snorm_to_fp(x, *, dtype=<class 'numpy.float32'>, nbits=None)

Decode signed normalized integers to floating-points.

Parameters

  • x – The type should be np.uint, or an array in np.uint.

  • dtype – The type should be np.float.

  • nbits – The number of bits to use.

Returns

The resulting floating-points.

fpq.fp.decode_ogl_snorm_to_fp(x, *, dtype=<class 'numpy.float32'>, nbits=None)

Decode signed normalized integers to floating-points.

Parameters

  • x – The type should be np.uint, or an array in np.uint.

  • dtype – The type should be np.float.

  • nbits – The number of bits to use.

Returns

The resulting floating-points.

fpq.fp.decode_std_snorm_to_fp(x, *, dtype=<class 'numpy.float32'>, nbits=None)

Decode signed normalized integers to floating-points.

Parameters

  • x – The type should be np.uint, or an array in np.uint.

  • dtype – The type should be np.float.

  • nbits – The number of bits to use.

Returns

The resulting floating-points.

Examples

>>> fp = np.float32(-1.)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_snorm_to_fp(enc, dtype=np.float32, nbits=16)

>>> fp = np.array([-1.0, -0.5, 0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_snorm_to_fp(enc, dtype=np.float32, nbits=16)

>>> fp = np.array([[-1.0, -0.5, 0., 0.5, 1.], [1.0, 0.5, 0., -0.5, -1.]], dtype=np.float32)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_snorm_to_fp(enc, dtype=np.float32, nbits=16)
fpq.fp.decode_std_unorm_to_fp(x, *, dtype=<class 'numpy.float32'>, nbits=None)

Decode unsigned normalized integers to floating-points.

Parameters

  • x – The type should be np.uint, or an array in np.uint.

  • dtype – The type should be np.float.

  • nbits – The number of bits to use.

Returns

The resulting floating-points.

Examples

>>> fp = np.float32(1.)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_unorm_to_fp(enc, dtype=np.float32, nbits=16)

>>> fp = np.array([0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_unorm_to_fp(enc, dtype=np.float32, nbits=16)

>>> fp = np.array([[0., 0.5, 1.], [1., 0.5, 0.]], dtype=np.float32)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)
>>> dec = decode_std_unorm_to_fp(enc, dtype=np.float32, nbits=16)
fpq.fp.decode_uint_to_fp(x, *, nbits=None)

Decode unsigned integers to floating-points.

Parameters

  • x – The type should be np.uint, or an array in np.uint.

  • nbits – The number of bits to use.

Returns

The resulting floating-points.

Examples

>>> fp = np.float32(1.)
>>> enc = encode_fp_to_uint(fp, nbits=20)
>>> dec = decode_uint_to_fp(enc, nbits=20)

>>> fp = np.array([0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_uint(fp, nbits=20)
>>> dec = decode_uint_to_fp(enc, nbits=20)

>>> fp = np.array([[0., 0.5, 1.], [1., 0.5, 0.]], dtype=np.float32)
>>> enc = encode_fp_to_uint(fp, nbits=20)
>>> dec = decode_uint_to_fp(enc, nbits=20)
fpq.fp.encode_fp_to_d3d_snorm(x, *, dtype=<class 'numpy.uint8'>, nbits=None)

Encode floating-points to signed normalized integers.

Parameters

  • x – The type should be np.float, or an array in np.float.

  • dtype – The type should be np.uint.

  • nbits – The number of bits to use.

Returns

The resulting unsigned normalized integers.

fpq.fp.encode_fp_to_ogl_snorm(x, *, dtype=<class 'numpy.uint8'>, nbits=None)

Encode floating-points to signed normalized integers.

Parameters

  • x – The type should be np.float, or an array in np.float.

  • dtype – The type should be np.uint.

  • nbits – The number of bits to use.

Returns

The resulting unsigned normalized integers.

fpq.fp.encode_fp_to_std_snorm(x, *, dtype=<class 'numpy.uint8'>, nbits=None)

Encode floating-points to signed normalized integers.

Parameters

  • x – The type should be np.float, or an array in np.float.

  • dtype – The type should be np.uint.

  • nbits – The number of bits to use.

Returns

The resulting unsigned normalized integers.

Examples

>>> fp = np.float32(-1.)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)

>>> fp = np.array([-1.0, -0.5, 0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)

>>> fp = np.array([[-1.0, -0.5, 0., 0.5, 1.], [1.0, 0.5, 0., -0.5, -1.]], dtype=np.float32)
>>> enc = encode_fp_to_std_snorm(fp, dtype=np.uint16, nbits=16)
fpq.fp.encode_fp_to_std_unorm(x, *, dtype=<class 'numpy.uint8'>, nbits=None)

Encode floating-points to unsigned normalized integers.

Parameters

  • x – The type should be np.float, or an array in np.float.

  • dtype – The type should be np.uint.

  • nbits – The number of bits to use.

Returns

The resulting unsigned normalized integers.

Examples

>>> fp = np.float32(1.)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)

>>> fp = np.array([0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)

>>> fp = np.array([[0., 0.5, 1.], [1., 0.5, 0.]], dtype=np.float32)
>>> enc = encode_fp_to_std_unorm(fp, dtype=np.uint16, nbits=16)
fpq.fp.encode_fp_to_uint(x, *, nbits=None)

Encode floating-points to unsigned integers.

Parameters

  • x – The type should be np.float, or an array in np.float.

  • nbits – The number of bits to use.

Returns

The resulting unsigned integers.

Examples

>>> fp = np.float32(1.)
>>> enc = encode_fp_to_uint(fp, nbits=20)

>>> fp = np.array([0., 0.5, 1.], dtype=np.float32)
>>> enc = encode_fp_to_uint(fp, nbits=20)

>>> fp = np.array([[0., 0.5, 1.], [1., 0.5, 0.]], dtype=np.float32)
>>> enc = encode_fp_to_uint(fp, nbits=20)

fpq.numba_wrapper module

fpq.numba_wrapper.avoid_mapping_to_py_types(name_or_function=None)

Avoid mapping to Python types.

fpq.numba_wrapper.avoid_non_supported_types(name_or_function=None)

Avoid non-supported types.

fpq.numba_wrapper.jit(*args, **kwargs)

fpq.quaternion module

fpq.quaternion.decode_uint_to_quat(q, *, dtype=<class 'numpy.float64'>, decoder=<function decode_std_snorm_to_fp>)

Decode unsigned integers to Quaternions.

Parameters

  • q – Should be represented by uint, or an array of them.

  • dtype – The type should be floating point types.

  • decoder – This is a function decodes an unsigned integer to a floating point.

Returns

The resulting Quaternions.

Examples

>>> q = np.array([1., 0., 0., 0.], dtype=np.float64)
>>> enc = encode_quat_to_uint(q, dtype=np.uint64)
>>> decode_uint_to_quat(enc, dtype=np.float64)
fpq.quaternion.encode_quat_to_uint(q, *, dtype=<class 'numpy.uint64'>, encoder=<function encode_fp_to_std_snorm>)

Encode Quaternions to unsigned integers.

Parameters

  • q – Should be represented by four components of float, or an array of them.

  • dtype – The type should be unsigned integer types.

  • encoder – This is a function encodes a floating point to an unsigned integer.

Returns

The resulting unsigned integers.

Examples

>>> q = np.array([1., 0., 0., 0.], dtype=np.float64)
>>> encode_quat_to_uint(q, dtype=np.uint64)

fpq.utils module

fpq.utils.get_max_component_indices(x)

Returns the indices of the maximum components.

Parameters

x – Input array.

Returns

The resulting indices.

fpq.utils.remap(x, src_min, src_max, dst_min, dst_max)

Maps values from [src_min, src_max] to [dst_min, dst_max].

Parameters

  • x – The incoming value to be converted.

  • src_min – Lower bound of the value current range.

  • src_max – Upper bound of the value current range.

  • dst_min – Lower bound of the value target range.

  • dst_max – Upper bound of the value target range.

Returns

The resulting value.

fpq.utils.remove_component(x, *, indices)

Removes components at the specified indices.

Parameters

  • x – Input array.

  • indices – Indices refers to components to remove from x.

Returns

Returns a new array excluded by indices.

fpq.utils.rint(x, out=None)

Wrapper function for numpy.rint.

fpq.vector module

fpq.vector.calc_breakdown_of_uint(dtype, nbits)

Calculate a breakdown of an unsigned integer.

fpq.vector.decode_uint_to_vec(v, *, dtype=<class 'numpy.float64'>, nbits=20, decoder=<function decode_std_snorm_to_fp>)

Decode unsigned integers to vectors.

Parameters

  • v – Should be represented by uint, or an array of them.

  • dtype – The type should be floating point types.

  • nbits – The number of bits to use.

  • decoder – This is a function decodes an unsigned integer to a floating point.

Returns

The resulting vectors.

Examples

>>> v = np.array([1., 2., 3.], dtype=np.float64)
>>> enc = encode_vec_to_uint(v, dtype=np.uint64, nbits=20)
>>> decode_uint_to_vec(enc, dtype=np.float64, nbits=20)
fpq.vector.encode_vec_to_uint(v, *, dtype=<class 'numpy.uint64'>, nbits=20, encoder=<function encode_fp_to_std_snorm>)

Encode vectors to unsigned integers.

Parameters

  • v – Should be represented by three components of float, or an array of them.

  • dtype – The type should be unsigned integer types.

  • nbits – The number of bits to use.

  • encoder – This is a function encodes a floating point to an unsigned integer.

Returns

The resulting unsigned integers.

Examples

>>> v = np.array([1., 2., 3.], dtype=np.float64)
>>> encode_vec_to_uint(v, dtype=np.uint64, nbits=20)
fpq.vector.is_valid_format(dtype_f, dtype_u, nbits)
fpq.vector.l2norm(v)

Calculates the L2 norm.

Module contents