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1# This file is MACHINE GENERATED! Do not edit. 

2# Generated by: tensorflow/python/tools/api/generator/create_python_api.py script. 

3"""Math Operations. 

4 

5Note: Functions taking `Tensor` arguments can also take anything accepted by 

6`tf.convert_to_tensor`. 

7 

8Note: Elementwise binary operations in TensorFlow follow [numpy-style 

9broadcasting](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html). 

10 

11TensorFlow provides a variety of math functions including: 

12 

13* Basic arithmetic operators and trigonometric functions. 

14* Special math functions (like: `tf.math.igamma` and `tf.math.zeta`) 

15* Complex number functions (like: `tf.math.imag` and `tf.math.angle`) 

16* Reductions and scans (like: `tf.math.reduce_mean` and `tf.math.cumsum`) 

17* Segment functions (like: `tf.math.segment_sum`) 

18 

19See: `tf.linalg` for matrix and tensor functions. 

20 

21<a id=Segmentation></a> 

22 

23## About Segmentation 

24 

25TensorFlow provides several operations that you can use to perform common 

26math computations on tensor segments. 

27Here a segmentation is a partitioning of a tensor along 

28the first dimension, i.e. it defines a mapping from the first dimension onto 

29`segment_ids`. The `segment_ids` tensor should be the size of 

30the first dimension, `d0`, with consecutive IDs in the range `0` to `k`, 

31where `k<d0`. 

32In particular, a segmentation of a matrix tensor is a mapping of rows to 

33segments. 

34 

35For example: 

36 

37```python 

38c = tf.constant([[1,2,3,4], [-1,-2,-3,-4], [5,6,7,8]]) 

39tf.math.segment_sum(c, tf.constant([0, 0, 1])) 

40# ==> [[0 0 0 0] 

41# [5 6 7 8]] 

42``` 

43 

44The standard `segment_*` functions assert that the segment indices are sorted. 

45If you have unsorted indices use the equivalent `unsorted_segment_` function. 

46These functions take an additional argument `num_segments` so that the output 

47tensor can be efficiently allocated. 

48 

49``` python 

50c = tf.constant([[1,2,3,4], [-1,-2,-3,-4], [5,6,7,8]]) 

51tf.math.unsorted_segment_sum(c, tf.constant([0, 1, 0]), num_segments=2) 

52# ==> [[ 6, 8, 10, 12], 

53# [-1, -2, -3, -4]] 

54``` 

55 

56 

57""" 

58 

59import sys as _sys 

60 

61from . import special 

62from tensorflow.python.ops.bincount_ops import bincount 

63from tensorflow.python.ops.check_ops import is_non_decreasing 

64from tensorflow.python.ops.check_ops import is_strictly_increasing 

65from tensorflow.python.ops.confusion_matrix import confusion_matrix 

66from tensorflow.python.ops.gen_array_ops import invert_permutation 

67from tensorflow.python.ops.gen_math_ops import acosh 

68from tensorflow.python.ops.gen_math_ops import asin 

69from tensorflow.python.ops.gen_math_ops import asinh 

70from tensorflow.python.ops.gen_math_ops import atan 

71from tensorflow.python.ops.gen_math_ops import atan2 

72from tensorflow.python.ops.gen_math_ops import atanh 

73from tensorflow.python.ops.gen_math_ops import betainc 

74from tensorflow.python.ops.gen_math_ops import cos 

75from tensorflow.python.ops.gen_math_ops import cosh 

76from tensorflow.python.ops.gen_math_ops import digamma 

77from tensorflow.python.ops.gen_math_ops import erf 

78from tensorflow.python.ops.gen_math_ops import erfc 

79from tensorflow.python.ops.gen_math_ops import expm1 

80from tensorflow.python.ops.gen_math_ops import floor_mod as floormod 

81from tensorflow.python.ops.gen_math_ops import floor_mod as mod 

82from tensorflow.python.ops.gen_math_ops import greater 

83from tensorflow.python.ops.gen_math_ops import greater_equal 

84from tensorflow.python.ops.gen_math_ops import igamma 

85from tensorflow.python.ops.gen_math_ops import igammac 

86from tensorflow.python.ops.gen_math_ops import is_finite 

87from tensorflow.python.ops.gen_math_ops import is_inf 

88from tensorflow.python.ops.gen_math_ops import is_nan 

89from tensorflow.python.ops.gen_math_ops import less 

90from tensorflow.python.ops.gen_math_ops import less_equal 

91from tensorflow.python.ops.gen_math_ops import lgamma 

92from tensorflow.python.ops.gen_math_ops import log 

93from tensorflow.python.ops.gen_math_ops import log1p 

94from tensorflow.python.ops.gen_math_ops import logical_and 

95from tensorflow.python.ops.gen_math_ops import logical_not 

96from tensorflow.python.ops.gen_math_ops import logical_or 

97from tensorflow.python.ops.gen_math_ops import maximum 

98from tensorflow.python.ops.gen_math_ops import minimum 

99from tensorflow.python.ops.gen_math_ops import neg as negative 

100from tensorflow.python.ops.gen_math_ops import next_after as nextafter 

101from tensorflow.python.ops.gen_math_ops import polygamma 

102from tensorflow.python.ops.gen_math_ops import reciprocal 

103from tensorflow.python.ops.gen_math_ops import rint 

104from tensorflow.python.ops.gen_math_ops import segment_max 

105from tensorflow.python.ops.gen_math_ops import segment_mean 

106from tensorflow.python.ops.gen_math_ops import segment_min 

107from tensorflow.python.ops.gen_math_ops import segment_prod 

108from tensorflow.python.ops.gen_math_ops import segment_sum 

109from tensorflow.python.ops.gen_math_ops import sin 

110from tensorflow.python.ops.gen_math_ops import sinh 

111from tensorflow.python.ops.gen_math_ops import square 

112from tensorflow.python.ops.gen_math_ops import squared_difference 

113from tensorflow.python.ops.gen_math_ops import tan 

114from tensorflow.python.ops.gen_math_ops import tanh 

115from tensorflow.python.ops.gen_math_ops import unsorted_segment_max 

116from tensorflow.python.ops.gen_math_ops import unsorted_segment_min 

117from tensorflow.python.ops.gen_math_ops import unsorted_segment_prod 

118from tensorflow.python.ops.gen_math_ops import unsorted_segment_sum 

119from tensorflow.python.ops.gen_math_ops import xlogy 

120from tensorflow.python.ops.gen_math_ops import zeta 

121from tensorflow.python.ops.gen_nn_ops import softsign 

122from tensorflow.python.ops.math_ops import abs 

123from tensorflow.python.ops.math_ops import accumulate_n 

124from tensorflow.python.ops.math_ops import acos 

125from tensorflow.python.ops.math_ops import add 

126from tensorflow.python.ops.math_ops import add_n 

127from tensorflow.python.ops.math_ops import angle 

128from tensorflow.python.ops.math_ops import argmax_v2 as argmax 

129from tensorflow.python.ops.math_ops import argmin_v2 as argmin 

130from tensorflow.python.ops.math_ops import ceil 

131from tensorflow.python.ops.math_ops import conj 

132from tensorflow.python.ops.math_ops import count_nonzero_v2 as count_nonzero 

133from tensorflow.python.ops.math_ops import cumprod 

134from tensorflow.python.ops.math_ops import cumsum 

135from tensorflow.python.ops.math_ops import cumulative_logsumexp 

136from tensorflow.python.ops.math_ops import div_no_nan as divide_no_nan 

137from tensorflow.python.ops.math_ops import divide 

138from tensorflow.python.ops.math_ops import equal 

139from tensorflow.python.ops.math_ops import erfcinv 

140from tensorflow.python.ops.math_ops import erfinv 

141from tensorflow.python.ops.math_ops import exp 

142from tensorflow.python.ops.math_ops import floor 

143from tensorflow.python.ops.math_ops import floordiv 

144from tensorflow.python.ops.math_ops import imag 

145from tensorflow.python.ops.math_ops import log_sigmoid 

146from tensorflow.python.ops.math_ops import logical_xor 

147from tensorflow.python.ops.math_ops import multiply 

148from tensorflow.python.ops.math_ops import multiply_no_nan 

149from tensorflow.python.ops.math_ops import ndtri 

150from tensorflow.python.ops.math_ops import not_equal 

151from tensorflow.python.ops.math_ops import polyval 

152from tensorflow.python.ops.math_ops import pow 

153from tensorflow.python.ops.math_ops import real 

154from tensorflow.python.ops.math_ops import reciprocal_no_nan 

155from tensorflow.python.ops.math_ops import reduce_all 

156from tensorflow.python.ops.math_ops import reduce_any 

157from tensorflow.python.ops.math_ops import reduce_euclidean_norm 

158from tensorflow.python.ops.math_ops import reduce_logsumexp 

159from tensorflow.python.ops.math_ops import reduce_max 

160from tensorflow.python.ops.math_ops import reduce_mean 

161from tensorflow.python.ops.math_ops import reduce_min 

162from tensorflow.python.ops.math_ops import reduce_prod 

163from tensorflow.python.ops.math_ops import reduce_std 

164from tensorflow.python.ops.math_ops import reduce_sum 

165from tensorflow.python.ops.math_ops import reduce_variance 

166from tensorflow.python.ops.math_ops import round 

167from tensorflow.python.ops.math_ops import rsqrt 

168from tensorflow.python.ops.math_ops import scalar_mul_v2 as scalar_mul 

169from tensorflow.python.ops.math_ops import sigmoid 

170from tensorflow.python.ops.math_ops import sign 

171from tensorflow.python.ops.math_ops import sobol_sample 

172from tensorflow.python.ops.math_ops import softplus 

173from tensorflow.python.ops.math_ops import sqrt 

174from tensorflow.python.ops.math_ops import subtract 

175from tensorflow.python.ops.math_ops import truediv 

176from tensorflow.python.ops.math_ops import unsorted_segment_mean 

177from tensorflow.python.ops.math_ops import unsorted_segment_sqrt_n 

178from tensorflow.python.ops.math_ops import xdivy 

179from tensorflow.python.ops.math_ops import xlog1py 

180from tensorflow.python.ops.nn_impl import l2_normalize 

181from tensorflow.python.ops.nn_impl import zero_fraction 

182from tensorflow.python.ops.nn_ops import approx_max_k 

183from tensorflow.python.ops.nn_ops import approx_min_k 

184from tensorflow.python.ops.nn_ops import in_top_k_v2 as in_top_k 

185from tensorflow.python.ops.nn_ops import log_softmax_v2 as log_softmax 

186from tensorflow.python.ops.nn_ops import softmax_v2 as softmax 

187from tensorflow.python.ops.nn_ops import top_k 

188from tensorflow.python.ops.special_math_ops import bessel_i0 

189from tensorflow.python.ops.special_math_ops import bessel_i0e 

190from tensorflow.python.ops.special_math_ops import bessel_i1 

191from tensorflow.python.ops.special_math_ops import bessel_i1e 

192from tensorflow.python.ops.special_math_ops import lbeta