Class: Google::Api::Distribution

Inherits:
Object
  • Object
show all
Defined in:
lib/google/cloud/logging/v2/doc/google/api/distribution.rb

Overview

Distribution contains summary statistics for a population of values and, optionally, a histogram representing the distribution of those values across a specified set of histogram buckets.

The summary statistics are the count, mean, sum of the squared deviation from the mean, the minimum, and the maximum of the set of population of values.

The histogram is based on a sequence of buckets and gives a count of values that fall into each bucket. The boundaries of the buckets are given either explicitly or by specifying parameters for a method of computing them (buckets of fixed width or buckets of exponentially increasing width).

Although it is not forbidden, it is generally a bad idea to include non-finite values (infinities or NaNs) in the population of values, as this will render the +mean+ and +sum_of_squared_deviation+ fields meaningless.

Defined Under Namespace

Classes: BucketOptions, Range

Instance Attribute Summary collapse

Instance Attribute Details

#bucket_counts ⇒ Array<Integer>

Returns If +bucket_options+ is given, then the sum of the values in +bucket_counts+ must equal the value in +count+. If +bucket_options+ is not given, no +bucket_counts+ fields may be given.

Bucket counts are given in order under the numbering scheme described above (the underflow bucket has number 0; the finite buckets, if any, have numbers 1 through N-2; the overflow bucket has number N-1).

The size of +bucket_counts+ must be no greater than N as defined in +bucket_options+.

Any suffix of trailing zero bucket_count fields may be omitted.

Returns:

  • (Array<Integer>) —

    If +bucket_options+ is given, then the sum of the values in +bucket_counts+ must equal the value in +count+. If +bucket_options+ is not given, no +bucket_counts+ fields may be given.

    Bucket counts are given in order under the numbering scheme described above (the underflow bucket has number 0; the finite buckets, if any, have numbers 1 through N-2; the overflow bucket has number N-1).

    The size of +bucket_counts+ must be no greater than N as defined in +bucket_options+.

    Any suffix of trailing zero bucket_count fields may be omitted.



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end

#bucket_options ⇒ Google::Api::Distribution::BucketOptions

Returns Defines the histogram bucket boundaries.

Returns:



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end

#count ⇒ Integer

Returns The number of values in the population. Must be non-negative.

Returns:

  • (Integer) —

    The number of values in the population. Must be non-negative.



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end

#mean ⇒ Float

Returns The arithmetic mean of the values in the population. If +count+ is zero then this field must be zero.

Returns:

  • (Float) —

    The arithmetic mean of the values in the population. If +count+ is zero then this field must be zero.



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end

#range ⇒ Google::Api::Distribution::Range

Returns If specified, contains the range of the population values. The field must not be present if the +count+ is zero.

Returns:



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end

#sum_of_squared_deviation ⇒ Float

Returns The sum of squared deviations from the mean of the values in the population. For values x_i this is:

Sum[i=1..n](https://cloud.google.com(x_i - mean)^2)

Knuth, "The Art of Computer Programming", Vol. 2, page 323, 3rd edition describes Welford's method for accumulating this sum in one pass.

If +count+ is zero then this field must be zero.

Returns:

  • (Float) —

    The sum of squared deviations from the mean of the values in the population. For values x_i this is:

    Sum[i=1..n](https://cloud.google.com(x_i - mean)^2)

    Knuth, "The Art of Computer Programming", Vol. 2, page 323, 3rd edition describes Welford's method for accumulating this sum in one pass.

    If +count+ is zero then this field must be zero.



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# File 'lib/google/cloud/logging/v2/doc/google/api/distribution.rb', line 71

class Distribution
  # The range of the population values.
  # @!attribute [rw] min
  #   @return [Float]
  #     The minimum of the population values.
  # @!attribute [rw] max
  #   @return [Float]
  #     The maximum of the population values.
  class Range; end

  # A Distribution may optionally contain a histogram of the values in the
  # population.  The histogram is given in +bucket_counts+ as counts of values
  # that fall into one of a sequence of non-overlapping buckets.  The sequence
  # of buckets is described by +bucket_options+.
  #
  # A bucket specifies an inclusive lower bound and exclusive upper bound for
  # the values that are counted for that bucket.  The upper bound of a bucket
  # is strictly greater than the lower bound.
  #
  # The sequence of N buckets for a Distribution consists of an underflow
  # bucket (number 0), zero or more finite buckets (number 1 through N - 2) and
  # an overflow bucket (number N - 1).  The buckets are contiguous:  the lower
  # bound of bucket i (i > 0) is the same as the upper bound of bucket i - 1.
  # The buckets span the whole range of finite values: lower bound of the
  # underflow bucket is -infinity and the upper bound of the overflow bucket is
  # +infinity.  The finite buckets are so-called because both bounds are
  # finite.
  #
  # +BucketOptions+ describes bucket boundaries in one of three ways.  Two
  # describe the boundaries by giving parameters for a formula to generate
  # boundaries and one gives the bucket boundaries explicitly.
  #
  # If +bucket_boundaries+ is not given, then no +bucket_counts+ may be given.
  # @!attribute [rw] linear_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Linear]
  #     The linear bucket.
  # @!attribute [rw] exponential_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Exponential]
  #     The exponential buckets.
  # @!attribute [rw] explicit_buckets
  #   @return [Google::Api::Distribution::BucketOptions::Explicit]
  #     The explicit buckets.
  class BucketOptions
    # Specify a sequence of buckets that all have the same width (except
    # overflow and underflow).  Each bucket represents a constant absolute
    # uncertainty on the specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket +i+:
    #
    #    Upper bound (0 <= i < N-1):     offset + (width * i).
    #    Lower bound (1 <= i < N):       offset + (width * (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] width
    #   @return [Float]
    #     Must be greater than 0.
    # @!attribute [rw] offset
    #   @return [Float]
    #     Lower bound of the first bucket.
    class Linear; end

    # Specify a sequence of buckets that have a width that is proportional to
    # the value of the lower bound.  Each bucket represents a constant relative
    # uncertainty on a specific value in the bucket.
    #
    # Defines +num_finite_buckets + 2+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     scale * (growth_factor ^ i).
    #    Lower bound (1 <= i < N):       scale * (growth_factor ^ (i - 1)).
    # @!attribute [rw] num_finite_buckets
    #   @return [Integer]
    #     Must be greater than 0.
    # @!attribute [rw] growth_factor
    #   @return [Float]
    #     Must be greater than 1.
    # @!attribute [rw] scale
    #   @return [Float]
    #     Must be greater than 0.
    class Exponential; end

    # A set of buckets with arbitrary widths.
    #
    # Defines +size(bounds) + 1+ (= N) buckets with these boundaries for
    # bucket i:
    #
    #    Upper bound (0 <= i < N-1):     bounds[i]
    #    Lower bound (1 <= i < N);       bounds[i - 1]
    #
    # There must be at least one element in +bounds+.  If +bounds+ has only one
    # element, there are no finite buckets, and that single element is the
    # common boundary of the overflow and underflow buckets.
    # @!attribute [rw] bounds
    #   @return [Array<Float>]
    #     The values must be monotonically increasing.
    class Explicit; end
  end
end