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author | David Luevano <55825613+luevano@users.noreply.github.com> | 2019-12-18 07:21:35 -0700 |
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committer | David Luevano <55825613+luevano@users.noreply.github.com> | 2019-12-18 07:21:35 -0700 |
commit | 487bf8840846b5d4d694b38985268c308aadb36e (patch) | |
tree | ba3a3a742a503f925a5a7792e1bd16ee518066c9 /lj_matrix/frob_norm.py | |
parent | 96a3f2b2950451a478c951e642a4aa188219682b (diff) |
Refactor files
Diffstat (limited to 'lj_matrix/frob_norm.py')
-rw-r--r-- | lj_matrix/frob_norm.py | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/lj_matrix/frob_norm.py b/lj_matrix/frob_norm.py new file mode 100644 index 000000000..4c3a2945d --- /dev/null +++ b/lj_matrix/frob_norm.py @@ -0,0 +1,51 @@ +"""MIT License + +Copyright (c) 2019 David Luevano Alvarado + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. +""" +import math + + +def frob_norm(array): + """ + Calculates the frobenius norm of a given array or matrix. + array: array of data. + """ + + arr_sh_len = len(array.shape) + arr_range = range(len(array)) + fn = 0.0 + + # If it is a 'vector'. + if arr_sh_len == 1: + for i in arr_range: + fn += array[i]*array[i] + + return math.sqrt(fn) + + # If it is a matrix. + elif arr_sh_len == 2: + for i in arr_range: + for j in arr_range: + fn += array[i, j]*array[i, j] + + return math.sqrt(fn) + else: + print('Error. Array size greater than 2 ({}).'.format(arr_sh_len)) |