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Townsend constraints

The reference says to constrain inside the curve defined by:

t = chebfun('t',[0,2*pi]);
x = 2*sin(t); y = 2*cos(t)-(1/2)*cos(2*t)-(1/4)*cos(3*t)-(1/8)*cos(4*t);

If you plug in t = 1, you get a point at (1.68, 1.62). Wikipedia's version says:

t = Atan2(y/x)

If you plug in x = 1.68, y = 1.62, you get t = 0.766, which does not match the original t. So I think this is incorrect. — Omegatron (talk) 05:00, 7 September 2017 (UTC)[reply]

Test problems in R

Continuous Global Optimization in R https://www.jstatsoft.org/article/view/v060i06 Katharine M. Mullen 2014

Includes: Ackley’s problem Aluffi-Pentini’s problem Becker and Lago problem Bohachevsky 1 problem Bohachevsky 2 problem Branin problem Camel back three hump problem Camel back six hump problem Cosine mixture problem Cosine mixture problem, n = 4 Dekkers and Aarts problem Easom problem Epistatic Michalewicz problem Exponential problem Goldstein and Price problem Griewank problem Gulf research problem Hartman 3 problem Hartman 6 problem Hosaki problem Kowalik problem Levy and Montalvo 1 problem Levy and Montalvo 2 problem Levy and Montalvo 2 problem, n = 10 McCormick problem Meyer and Roth problem Miele and Cantrell problem Modified Langerman problem Modified Rosenbrock problem Multi-Gaussian problem Neumaier 2 problem Neumaier 3 problem Paviani’s problem Periodic problem Powell’s quadratic problem Price’s transistor modelling problem Rastrigin problem Rosenbrock problem Salomon problem Schaffer 1 problem Schaffer 2 problem Shubert problem Schwefel problem Shekel 5 problem Shekel 7 problem Shekel 10 problem Shekel’s foxholes problem Shekel’s foxholes problem, n = 10 Wood’s problem Sinusoidal problem Sinusoidal problem, n = 20

Package: https://cran.r-project.org/web/packages/globalOptTests/index.html