chore: Managed to plot it

main
Francesco Minnocci 1 year ago
parent df7944aa0b
commit b105ed06e9
Signed by untrusted user: BachoSeven
GPG Key ID: 2BE4AB7FDAD828A4

@ -44,40 +44,42 @@ function solve(F, (G, roots) = start_system(F), maxsteps = 1000)
return (solutions, step_array) return (solutions, step_array)
end end
# Input polynomial system # Input polynomial systems
dimension = 2
max_degree = 2
R = random_system(dimension, max_degree)
# @polyvar x y # @polyvar x y
# C = [x^3 - y + 5x^2 - 10, 2x^2 - y - 10] # C = [x^3 - y + 5x^2 - 10, 2x^2 - y - 10]
# Q = [x^2 + 2y, y - 3x^3] # Q = [x^2 + 2y, y - 3x^3]
# F = [x*y - 1, x^2 + y^2 - 4] # F = [x*y - 1, x^2 + y^2 - 4]
# T = [x*y - 1, x^2 + y^2 - 2] # T = [x*y - 1, x^2 + y^2 - 2]
dimension = 2
R = random_system(2, 2)
println(R)
(sR, stepsR) = solve(R)
# (sC, stepsC) = solve(C) # (sC, stepsC) = solve(C)
# (sQ, stepsQ) = solve(Q) # (sQ, stepsQ) = solve(Q)
# (sF, stepsF) = solve(F) # (sF, stepsF) = solve(F)
# (sT, stepsT) = solve(T) # (sT, stepsT) = solve(T)
(sR, stepsR) = solve(R)
println("R: ", stepsR)
println("solutions:", sR)
vars = variables(R)
println([LinearAlgebra.norm([f(vars=>s) for f in R]) for s in sR])
# println("C: ", stepsC) # println("C: ", stepsC)
# println("Q: ", stepsQ) # println("Q: ", stepsQ)
# println("F: ", stepsF) # println("F: ", stepsF)
# println("T: ", stepsT) # println("T: ", stepsT)
println("R: ", stepsR)
# sC = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sC) # sC = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sC)
# sQ = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sQ) # sQ = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sQ)
# sF = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sF) # sF = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sF)
# sT = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sT) # sT = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sT)
sR = filter(u -> imag(u[1]) < 0.1 && imag(u[2]) < 0.1, sR)
vars = variables(R)
println("solutions: ", sR)
println([LinearAlgebra.norm([f(vars=>s) for f in R]) for s in sR])
# Plotting the system and the real solutions # Plotting the system and the real solutions
# ENV["GKSwstype"]="nul" ENV["GKSwstype"]="nul"
# plot_real(sC, C, 6, 12, "1") # plot_real(sC, C, 6, 12, "1")
# plot_real(sQ, Q, 2, 2, "2") # plot_real(sQ, Q, 2, 2, "2")
# plot_real(sF, F, 4, 4, "3") # plot_real(sF, F, 4, 4, "3")
# plot_real(sT, T, 4, 4, "4") # plot_real(sT, T, 4, 4, "4")
plot_real(sR, R, 5, 5, "random")

Loading…
Cancel
Save