# Licensed to the Apache Software Foundation (ASF) under one or more
# contributor license agreements.  See the NOTICE file distributed with
# this work for additional information regarding copyright ownership.
# The ASF licenses this file to You under the Apache License, Version 2.0
# (the "License"); you may not use this file except in compliance with
# the License.  You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

# computed using scipy.stats 1.7.3:
# (a, b, c, d) = (3, 4, 5, 6)
# scipy.stats.trapezoid((b-a)/(d-a), (c-a)/(d-a), a, d-a)
parameters = 3.0, 4.0, 5.0, 6.0
mean = 4.5
variance = 0.4166666666666675
lower = 3
upper = 6

cdf.points = 3. , 3.25, 3.5 , 3.75, 4. , 4.25, 4.5 , 4.75, 5. , 5.25, 5.5 , 5.75, 6.

cdf.values = \
  0.                , 0.015625          , 0.0625            , \
  0.140625          , 0.25              , 0.375             , \
  0.5000000000000001, 0.6250000000000001, 0.75              , \
  0.859375          , 0.9375            , 0.984375          , \
  1.

sf.values = \
  1.                , 0.984375          , 0.9375            , \
  0.859375          , 0.75              , 0.625             , \
  0.4999999999999999, 0.3749999999999999, 0.25              , \
  0.140625          , 0.0625            , 0.015625          , \
  0.

pdf.values = \
  0.                 , 0.125              , 0.25               , \
  0.375              , 0.5                , 0.5                , \
  0.5                , 0.5                , 0.5                , \
  0.37499999999999994, 0.24999999999999992, 0.12500000000000003, \
  0.
