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keisanHigh-precision calculations for everyday life and work

Determining a Curve of Degree Three or Less Using Four Points

Author: shiroeExecutions: 152

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Determine a curve of degree three or less from four points.
Find the coefficients of a cubic equation from four distinct x-y coordinates.
However, since we allow for the possibility that a may be 0,
we will also output equations of degree three or less.
Let the equation be of the form y = ax³ + bx² + cx + d.
(We do not exclude the case where a = 0.)
For reference, calculations are performed within the complex number domain.
Enter distinct x and y coordinates.
(If there are duplicate points, nothing will be output.)
x1
y1
x2
y2
x3
y3
x4
y4
Success or Failure of the Result   Decision made = 1, No = 0
a   Coefficient of the x^3 term
b   Coefficient of the x^2 term
c   Coefficient of the x^1 term
d   Constant term
Please check that the imaginary unit "i" is not appended to the end of the numbers in the output field.
R6 (2024). 10/20 (Sun)_ver.001
Digit display setting: 50 digits. Digit count can be changed. Complex number calculation mode.

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