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require 'test_helper'
class IntegrationTest < GSL::TestCase
def test_integration1
f = GSL::Function.alloc { |x| Math.exp(x) * Math.cos(x) }
xmin = 0.0
xmax = 1.0
limit = 1000
# QNG
assert f.integration_qng(xmin, xmax, 0.0, 1.0e-7)
assert f.integration_qng(xmin, xmax)
assert f.integration_qng([xmin, xmax])
assert f.integration_qng([xmin, xmax], [0.0, 1.0e-7])
assert f.integration_qng([xmin, xmax], 0.0, 1.0e-7)
assert f.integration_qng(xmin, xmax, [0.0, 1.0e-7])
# QAG
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], GSL::Integration::GAUSS15)
w = GSL::Integration::Workspace.alloc
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], w)
# QAGS
assert f.integration_qags(xmin, xmax)
assert f.integration_qags([xmin, xmax])
assert f.integration_qags(xmin, xmax, 0.0, 1e-7)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], 0.0, 1e-7)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], limit)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], limit)
assert f.integration_qags(xmin, xmax, limit)
assert f.integration_qags([xmin, xmax], w)
assert f.integration_qags(xmin, xmax, w)
assert f.integration_qags(xmin, xmax, limit, w)
assert f.integration_qags([xmin, xmax], limit, w)
# QAGP
assert f.integration_qagp([xmin, xmax])
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7])
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qagp([xmin, xmax], limit)
assert f.integration_qagp([xmin, xmax], w)
assert f.integration_qagp([xmin, xmax], limit, w)
end
def test_integration2
f = GSL::Function.alloc { |x| Math.sin(x) / x }
xmin = 0.0
xmax = 2.0 * Math::PI
limit = 1000
# QNG
assert f.integration_qng(xmin, xmax, 0.0, 1.0e-7)
assert f.integration_qng(xmin, xmax)
assert f.integration_qng([xmin, xmax])
assert f.integration_qng([xmin, xmax], [0.0, 1.0e-7])
assert f.integration_qng([xmin, xmax], 0.0, 1.0e-7)
assert f.integration_qng(xmin, xmax, [0.0, 1.0e-7])
# QAG
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], GSL::Integration::GAUSS15)
w = GSL::Integration::Workspace.alloc(2000)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
# QAGS
assert f.integration_qags(xmin, xmax)
assert f.integration_qags([xmin, xmax])
assert f.integration_qags(xmin, xmax, 0.0, 1e-7)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], 0.0, 1e-7)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], limit)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], limit)
assert f.integration_qags(xmin, xmax, limit)
assert f.integration_qags([xmin, xmax], w)
assert f.integration_qags(xmin, xmax, w)
assert f.integration_qags(xmin, xmax, limit, w)
assert f.integration_qags([xmin, xmax], limit, w)
# QAGP
assert f.integration_qagp([xmin, xmax])
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7])
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qagp([xmin, xmax], limit)
assert f.integration_qagp([xmin, xmax], w)
assert f.integration_qagp([xmin, xmax], limit, w)
end
def test_integration3
f = GSL::Function.alloc { |x| Math.exp(-x) / Math.sqrt(x) }
xmin = 0.0
xmax = 1.0
limit = 1000
# QNG
# XXX GSL::ERROR::ETOL: Ruby/GSL error code 14, failed to reach tolerance with
# highest-order rule (file qng.c, line 189), failed to reach the specified tolerance
#assert f.integration_qng(xmin, xmax, 0.0, 1.0e-7)
#assert f.integration_qng(xmin, xmax)
#assert f.integration_qng([xmin, xmax])
#assert f.integration_qng([xmin, xmax], [0.0, 1.0e-7])
#assert f.integration_qng([xmin, xmax], 0.0, 1.0e-7)
#assert f.integration_qng(xmin, xmax, [0.0, 1.0e-7])
# QAG
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], GSL::Integration::GAUSS15)
w = GSL::Integration::Workspace.alloc(2000)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
# QAGS
assert f.integration_qags(xmin, xmax)
assert f.integration_qags([xmin, xmax])
assert f.integration_qags(xmin, xmax, 0.0, 1e-7)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], 0.0, 1e-7)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], limit)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], limit)
assert f.integration_qags(xmin, xmax, limit)
assert f.integration_qags([xmin, xmax], w)
assert f.integration_qags(xmin, xmax, w)
assert f.integration_qags(xmin, xmax, limit, w)
assert f.integration_qags([xmin, xmax], limit, w)
# QAGP
assert f.integration_qagp([xmin, xmax])
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7])
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qagp([xmin, xmax], limit)
assert f.integration_qagp([xmin, xmax], w)
assert f.integration_qagp([xmin, xmax], limit, w)
end
def test_integration4
f = GSL::Function.alloc { |x| (1.0 - Math.exp(-x)) / Math.sqrt(x) }
xmin = 0.0
xmax = 0.2
limit = 1000
# QNG
# XXX GSL::ERROR::ETOL: Ruby/GSL error code 14, failed to reach tolerance with
# highest-order rule (file qng.c, line 189), failed to reach the specified tolerance
#assert f.integration_qng(xmin, xmax, 0.0, 1.0e-7)
#assert f.integration_qng(xmin, xmax)
#assert f.integration_qng([xmin, xmax])
#assert f.integration_qng([xmin, xmax], [0.0, 1.0e-7])
#assert f.integration_qng([xmin, xmax], 0.0, 1.0e-7)
#assert f.integration_qng(xmin, xmax, [0.0, 1.0e-7])
# QAG
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, limit, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15)
assert f.integration_qag(xmin, xmax, GSL::Integration::GAUSS15)
assert f.integration_qag([xmin, xmax], GSL::Integration::GAUSS15)
w = GSL::Integration::Workspace.alloc(2000)
assert f.integration_qag(xmin, xmax, [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
assert f.integration_qag(xmin, xmax, 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], 0.0, 1.0e-7, GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], GSL::Integration::GAUSS15, w)
assert f.integration_qag([xmin, xmax], [0.0, 1.0e-7], limit, GSL::Integration::GAUSS15, w)
# QAGS
assert f.integration_qags(xmin, xmax)
assert f.integration_qags([xmin, xmax])
assert f.integration_qags(xmin, xmax, 0.0, 1e-7)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], [0.0, 1e-7])
assert f.integration_qags([xmin, xmax], 0.0, 1e-7)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], limit)
assert f.integration_qags([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, 0.0, 1e-7, limit, w)
assert f.integration_qags(xmin, xmax, [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qags([xmin, xmax], limit)
assert f.integration_qags(xmin, xmax, limit)
assert f.integration_qags([xmin, xmax], w)
assert f.integration_qags(xmin, xmax, w)
assert f.integration_qags(xmin, xmax, limit, w)
assert f.integration_qags([xmin, xmax], limit, w)
# QAGP
assert f.integration_qagp([xmin, xmax])
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7])
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], limit)
assert f.integration_qagp([xmin, xmax], 0.0, 1e-7, limit, w)
assert f.integration_qagp([xmin, xmax], [0.0, 1e-7], w)
assert f.integration_qagp([xmin, xmax], limit)
assert f.integration_qagp([xmin, xmax], w)
assert f.integration_qagp([xmin, xmax], limit, w)
end
end
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