Download or view solveTest2.frink in plain text format
// This is a test for some nasty cases of pattern-matching that
// require that backtracking goes right.
symbolicMode[true]
showApproximations[false]
// Cubic equation solver.
solve[_a _x^3 + _b _x^2 + _c _x === _d, _x] <-> [solve[_x === -1 _b (3 _a)^-1 + -1 (3 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3) + -1 (3 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + -1 ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3), _x], solve[_x === -1 _b (3 _a)^-1 + (1 + 1.4422495703074083 i) (6 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3) + (1 + -1.4422495703074083 i) (6 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + -1 ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3), _x], solve[_x === -1 _b (3 _a)^-1 + (1 + -1.4422495703074083 i) (6 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3) + (1 + 1.4422495703074083 i) (6 _a)^-1 (1/2 (2 _b^3 + -9 _a _b _c + -27 _a^2 _d + -1 ((2 _b^3 + -9 _a _b _c + -27 _a^2 _d)^2 + -4 (_b^2 + -3 _a _c)^3)^(1/2)))^(1/3), _x]]
println[join["\n",transformExpressionDebug[noEval[solve[-1 m + -2 m phi + 2 m theta === -1 (2 phi + -2 d2 phi + -4 d3 phi + -4 d4 phi + -1 theta + d2 theta + 2 d3 theta + 2 d4 theta), m]]]]]
println[]
Download or view solveTest2.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen was born 20218 days, 0 hours, 1 minutes ago.