sbplib: diracDiscrTest.m annotate

annotate diracDiscrTest.m @ 1342:d1dad4fbfe22 feature/D2_boundary_opt

Add support for glue interpolation operators, and separate wave speeds across interfaces

author	Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date	Fri, 26 Aug 2022 14:19:29 +0200
parents	60c875c18de3
children

rev	line source
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	1 function tests = diracDiscrTest()
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	2 tests = functiontests(localfunctions);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	3 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	4
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	5 %TODO:
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	6 % 1. Test discretizing with smoothness conditions.
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	7 % Only discretization with moment conditions currently tested.
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	8 % 2. Test using other types of grids. Only equidistant grids currently used.
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	9
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	10 function testLeftRandom(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	11
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	12 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	13 mom_conds = orders;
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	14 rng(1) % Set seed
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	15
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	16 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	17 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	18 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	19 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	20 xl = g.lim{1}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	21 h = g.scaling();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	22 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	23
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	24 % Test random points near left boundary
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	25 x0s = xl + 2hrand(1,10);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	26
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	27 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	28 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	29 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	30 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	31 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	32 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	33 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	34 err = abs(integral - f(x0));
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	35 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	36 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	37 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	38 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	39 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	40
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	41 function testRightRandom(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	42
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	43 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	44 mom_conds = orders;
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	45 rng(1) % Set seed
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	46
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	47 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	48 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	49 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	50 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	51 xr = g.lim{1}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	52 h = g.scaling();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	53 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	54
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	55 % Test random points near right boundary
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	56 x0s = xr - 2hrand(1,10);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	57
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	58 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	59 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	60 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	61 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	62 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	63 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	64 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	65 err = abs(integral - f(x0));
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	66 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	67 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	68 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	69 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	70 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	71
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	72 function testInteriorRandom(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	73
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	74 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	75 mom_conds = orders;
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	76 rng(1) % Set seed
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	77
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	78 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	79 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	80 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	81 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	82 xl = g.lim{1}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	83 xr = g.lim{1}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	84 h = g.scaling();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	85 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	86
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	87 % Test random points in interior
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	88 x0s = (xl+2h) + (xr-xl-4h)*rand(1,20);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	89
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	90 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	91 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	92 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	93 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	94 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	95 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	96 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	97 err = abs(integral - f(x0));
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	98 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	99 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	100 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	101 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	102 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	103
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	104 % x0 outside grid should yield 0 integral!
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	105 function testX0OutsideGrid(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	106
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	107 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	108 mom_conds = orders;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	109
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	110 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	111 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	112 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	113 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	114 xl = g.lim{1}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	115 xr = g.lim{1}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	116 h = g.scaling();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	117 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	118
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	119 % Test points outisde grid
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	120 x0s = [xl-1.1h, xr+1.1h];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	121
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	122 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	123 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	124 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	125 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	126 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	127 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	128 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	129 err = abs(integral - 0);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	130 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	131 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	132 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	133 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	134 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	135
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	136 function testAllGP(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	137
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	138 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	139 mom_conds = orders;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	140
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	141 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	142 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	143 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	144 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	145 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	146
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	147 % Test all grid points
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	148 x0s = x;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	149
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	150 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	151 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	152 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	153 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	154 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	155 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	156 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	157 err = abs(integral - f(x0));
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	158 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	159 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	160 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	161 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	162 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	163
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	164 function testHalfGP(testCase)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	165
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	166 orders = [2, 4, 6];
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	167 mom_conds = orders;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	168
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	169 for o = 1:length(orders)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	170 order = orders(o);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	171 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	172 [g, H, fs] = setup1D(order, mom_cond);
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	173 x = g.x{1};
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	174
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	175 % Test halfway between all grid points
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	176 x0s = 1/2*(x(2:end)+x(1:end-1));
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	177
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	178 for j = 1:length(fs)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	179 f = fs{j};
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	180 fx = f(x);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	181 for i = 1:length(x0s)
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	182 x0 = x0s(i);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	183 delta = diracDiscr(g, x0, mom_cond, 0, H);
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	184 integral = delta'Hfx;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	185 err = abs(integral - f(x0));
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	186 testCase.verifyLessThan(err, 1e-12);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	187 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	188 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	189 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	190 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	191
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	192 %=============== 2D tests ==============================
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	193 function testAllGP2D(testCase)
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	194
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	195 orders = [2, 4, 6];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	196 mom_conds = orders;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	197
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	198 for o = 1:length(orders)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	199 order = orders(o);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	200 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	201 [g, H, fs] = setup2D(order, mom_cond);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	202 H_global = kron(H{1}, H{2});
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	203 X = g.points();
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	204 % Test all grid points
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	205 x0s = X;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	206
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	207 for j = 1:length(fs)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	208 f = fs{j};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	209 fx = f(X(:,1), X(:,2));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	210 for i = 1:length(x0s)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	211 x0 = x0s(i,:);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	212 delta = diracDiscr(g, x0, mom_cond, 0, H);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	213 integral = delta'H_globalfx;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	214 err = abs(integral - f(x0(1), x0(2)));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	215 testCase.verifyLessThan(err, 1e-12);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	216 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	217 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	218 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	219 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	220
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	221 function testAllRandom2D(testCase)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	222
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	223 orders = [2, 4, 6];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	224 mom_conds = orders;
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	225 rng(1) % Set seed
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	226
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	227 for o = 1:length(orders)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	228 order = orders(o);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	229 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	230 [g, H, fs] = setup2D(order, mom_cond);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	231 H_global = kron(H{1}, H{2});
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	232 X = g.points();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	233 xl = g.lim{1}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	234 xr = g.lim{1}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	235 yl = g.lim{2}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	236 yr = g.lim{2}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	237 h = g.scaling();
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	238
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	239
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	240 % Test random points, even outside grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	241 Npoints = 100;
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	242 x0s = [(xl-3h(1)) + (xr-xl+6h(1))*rand(Npoints,1), ...
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	243 (yl-3h(2)) + (yr-yl+6h(2))*rand(Npoints,1) ];
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	244
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	245 for j = 1:length(fs)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	246 f = fs{j};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	247 fx = f(X(:,1), X(:,2));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	248 for i = 1:length(x0s)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	249 x0 = x0s(i,:);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	250 delta = diracDiscr(g, x0, mom_cond, 0, H);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	251 integral = delta'H_globalfx;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	252
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	253 % Integral should be 0 if point is outside grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	254 if x0(1) < xl \|\| x0(1) > xr \|\| x0(2) < yl \|\| x0(2) > yr
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	255 err = abs(integral - 0);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	256 else
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	257 err = abs(integral - f(x0(1), x0(2)));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	258 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	259 testCase.verifyLessThan(err, 1e-12);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	260 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	261 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	262 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	263 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	264
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	265 %=============== 3D tests ==============================
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	266 function testAllGP3D(testCase)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	267
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	268 orders = [2, 4, 6];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	269 mom_conds = orders;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	270
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	271 for o = 1:length(orders)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	272 order = orders(o);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	273 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	274 [g, H, fs] = setup3D(order, mom_cond);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	275 H_global = kron(kron(H{1}, H{2}), H{3});
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	276 X = g.points();
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	277 % Test all grid points
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	278 x0s = X;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	279
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	280 for j = 1:length(fs)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	281 f = fs{j};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	282 fx = f(X(:,1), X(:,2), X(:,3));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	283 for i = 1:length(x0s)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	284 x0 = x0s(i,:);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	285 delta = diracDiscr(g, x0, mom_cond, 0, H);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	286 integral = delta'H_globalfx;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	287 err = abs(integral - f(x0(1), x0(2), x0(3)));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	288 testCase.verifyLessThan(err, 1e-12);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	289 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	290 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	291 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	292 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	293
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	294 function testAllRandom3D(testCase)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	295
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	296 orders = [2, 4, 6];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	297 mom_conds = orders;
1243 4e0b88f3def1 Use rng(1) to set seed in diracDiscrTest because hex-speak crashed. Martin Almquist <malmquist@stanford.edu> parents: 1234 diff changeset	298 rng(1) % Set seed
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	299
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	300 for o = 1:length(orders)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	301 order = orders(o);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	302 mom_cond = mom_conds(o);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	303 [g, H, fs] = setup3D(order, mom_cond);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	304 H_global = kron(kron(H{1}, H{2}), H{3});
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	305 X = g.points();
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	306 xl = g.lim{1}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	307 xr = g.lim{1}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	308 yl = g.lim{2}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	309 yr = g.lim{2}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	310 zl = g.lim{3}{1};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	311 zr = g.lim{3}{2};
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	312 h = g.scaling();
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	313
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	314 % Test random points, even outside grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	315 Npoints = 200;
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	316 x0s = [(xl-3h(1)) + (xr-xl+6h(1))*rand(Npoints,1), ...
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	317 (yl-3h(2)) + (yr-yl+6h(2))*rand(Npoints,1), ...
f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	318 (zl-3h(3)) + (zr-zl+6h(3))*rand(Npoints,1) ];
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	319
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	320 for j = 1:length(fs)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	321 f = fs{j};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	322 fx = f(X(:,1), X(:,2), X(:,3));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	323 for i = 1:length(x0s)
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	324 x0 = x0s(i,:);
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	325 delta = diracDiscr(g, x0, mom_cond, 0, H);
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	326 integral = delta'H_globalfx;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	327
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	328 % Integral should be 0 if point is outside grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	329 if x0(1) < xl \|\| x0(1) > xr \|\| x0(2) < yl \|\| x0(2) > yr \|\| x0(3) < zl \|\| x0(3) > zr
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	330 err = abs(integral - 0);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	331 else
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	332 err = abs(integral - f(x0(1), x0(2), x0(3)));
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	333 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	334 testCase.verifyLessThan(err, 1e-12);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	335 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	336 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	337 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	338 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	339
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	340
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	341 % ======================================================
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	342 % ============== Setup functions =======================
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	343 % ======================================================
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	344 function [g, H, fs] = setup1D(order, mom_cond)
836 049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	345
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	346 % Grid
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	347 xl = -3;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	348 xr = 900;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	349 L = xr-xl;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	350 m = 101;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	351 g = grid.equidistant(m, {xl, xr});
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	352
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	353 % Quadrature
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	354 ops = sbp.D2Standard(m, {xl, xr}, order);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	355 H = ops.H;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	356
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	357 % Moment conditions
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	358 fs = cell(mom_cond,1);
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	359 for p = 0:mom_cond-1
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	360 fs{p+1} = @(x) (x/L).^p;
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	361 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	362
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	363 end
049e4c6fa630 Add dirac delta function, with corresponding test. Commented out tests for staggered grid because they do not yet exist on this branch. Martin Almquist <malmquist@stanford.edu> parents: diff changeset	364
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	365 function [g, H, fs] = setup2D(order, mom_cond)
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	366
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	367 % Grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	368 xlims = {-3, 20};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	369 ylims = {-11,5};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	370 Lx = xlims{2} - xlims{1};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	371 Ly = ylims{2} - ylims{1};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	372 m = [15, 16];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	373 g = grid.equidistant(m, xlims, ylims);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	374
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	375 % Quadrature
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	376 opsx = sbp.D2Standard(m(1), xlims, order);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	377 opsy = sbp.D2Standard(m(2), ylims, order);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	378 Hx = opsx.H;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	379 Hy = opsy.H;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	380 H = {Hx, Hy};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	381
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	382 % Moment conditions
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	383 fs = cell(mom_cond,1);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	384 for p = 0:mom_cond-1
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	385 fs{p+1} = @(x,y) (x/Lx + y/Ly).^p;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	386 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	387 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	388
1234 f1806475498b - Pass grids to diracDiscr and adjust tests. Vidar Stiernström <vidar.stiernstrom@it.uu.se> parents: 1232 diff changeset	389 function [g, H, fs] = setup3D(order, mom_cond)
837 43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	390
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	391 % Grid
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	392 xlims = {-3, 20};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	393 ylims = {-11,5};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	394 zlims = {2,4};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	395 Lx = xlims{2} - xlims{1};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	396 Ly = ylims{2} - ylims{1};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	397 Lz = zlims{2} - zlims{1};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	398 m = [13, 14, 15];
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	399 g = grid.equidistant(m, xlims, ylims, zlims);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	400
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	401 % Quadrature
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	402 opsx = sbp.D2Standard(m(1), xlims, order);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	403 opsy = sbp.D2Standard(m(2), ylims, order);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	404 opsz = sbp.D2Standard(m(3), zlims, order);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	405 Hx = opsx.H;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	406 Hy = opsy.H;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	407 Hz = opsz.H;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	408 H = {Hx, Hy, Hz};
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	409
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	410 % Moment conditions
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	411 fs = cell(mom_cond,1);
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	412 for p = 0:mom_cond-1
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	413 fs{p+1} = @(x,y,z) (x/Lx + y/Ly + z/Lz).^p;
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	414 end
43a1c3ac07b1 Make diracDiscr work for n dimensions. Add tests up to 3D. Martin Almquist <malmquist@stanford.edu> parents: 836 diff changeset	415 end

Mercurial > repos > public > sbplib

annotate diracDiscrTest.m @ 1342:d1dad4fbfe22 feature/D2_boundary_opt