Numeric error propagation: Difference between revisions
Content added Content deleted
(Add Common Lisp implementation.) |
m (Use symbols to make the code more readable.) |
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(format stream "~,2F ± ~,2F" (uncertain-number-value n) (uncertain-number-uncertainty n))) |
(format stream "~,2F ± ~,2F" (uncertain-number-value n) (uncertain-number-uncertainty n))) |
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(defun |
(defun ~+ (n1 n2) |
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(let* ((value1 (uncertain-number-value n1)) |
(let* ((value1 (uncertain-number-value n1)) |
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(value2 (uncertain-number-value n2)) |
(value2 (uncertain-number-value n2)) |
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:uncertainty (uncertain-number-uncertainty n))) |
:uncertainty (uncertain-number-uncertainty n))) |
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(defun |
(defun ~- (n1 n2) |
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( |
(~+ n1 (negate n2))) |
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(defun |
(defun ~* (n1 n2) |
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(let* ((value1 (uncertain-number-value n1)) |
(let* ((value1 (uncertain-number-value n1)) |
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(value2 (uncertain-number-value n2)) |
(value2 (uncertain-number-value n2)) |
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:uncertainty (uncertain-number-uncertainty n))) |
:uncertainty (uncertain-number-uncertainty n))) |
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(defun |
(defun ~/ (n1 n2) |
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( |
(~* n1 (inverse n2))) |
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(defun |
(defun ~expt (base exp) |
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(let* ((base-value (uncertain-number-value base)) |
(let* ((base-value (uncertain-number-value base)) |
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(uncertainty-ratio (/ (uncertain-number-uncertainty base) base-value)) |
(uncertainty-ratio (/ (uncertain-number-uncertainty base) base-value)) |
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(x2 (make-uncertain-number :value 200 :uncertainty 2.2)) |
(x2 (make-uncertain-number :value 200 :uncertainty 2.2)) |
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(y2 (make-uncertain-number :value 100 :uncertainty 2.3)) |
(y2 (make-uncertain-number :value 100 :uncertainty 2.3)) |
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(d ( |
(d (~expt (~+ (~expt (~- x1 x2) 2) (~expt (~- y1 y2) 2)) |
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1/2))) |
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1/2))) |
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(format t "d = ~A~%" d)))</lang> |
(format t "d = ~A~%" d)))</lang> |
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{{out}} |
{{out}} |
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