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annotate diracDiscrTest.m @ 649:1bdbe026abbc feature/d1_staggered

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Make diracDiscr return zeros if x0 is outside grid.
author Martin Almquist <malmquist@stanford.edu>
date Tue, 14 Nov 2017 15:40:06 -0800
parents 46c40711830f
children 4ee7d15bd8e6
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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647
46c40711830f Add test for diracDiscr.m
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
1 function tests = diracDiscrTest()
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
2 tests = functiontests(localfunctions);
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Martin Almquist <malmquist@stanford.edu>
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3 end
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Martin Almquist <malmquist@stanford.edu>
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4
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Martin Almquist <malmquist@stanford.edu>
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5 function testLeftGP(testCase)
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Martin Almquist <malmquist@stanford.edu>
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6
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
7 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
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8 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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9
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Martin Almquist <malmquist@stanford.edu>
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10 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
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11 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
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12 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
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13 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
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14
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Martin Almquist <malmquist@stanford.edu>
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15 % Test left boundary grid points
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Martin Almquist <malmquist@stanford.edu>
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16 x0s = xl + [0, h, 2*h];
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Martin Almquist <malmquist@stanford.edu>
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17
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Martin Almquist <malmquist@stanford.edu>
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18 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
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19 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
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20 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
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21 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
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22 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
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23 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
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24 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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25 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
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26 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
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27 end
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Martin Almquist <malmquist@stanford.edu>
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28 end
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Martin Almquist <malmquist@stanford.edu>
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29 end
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Martin Almquist <malmquist@stanford.edu>
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30 end
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Martin Almquist <malmquist@stanford.edu>
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31
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Martin Almquist <malmquist@stanford.edu>
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32 function testLeftRandom(testCase)
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Martin Almquist <malmquist@stanford.edu>
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33
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Martin Almquist <malmquist@stanford.edu>
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34 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
parents:
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35 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
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36
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Martin Almquist <malmquist@stanford.edu>
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37 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
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38 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
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39 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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40 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
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41
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Martin Almquist <malmquist@stanford.edu>
parents:
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42 % Test random points near left boundary
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Martin Almquist <malmquist@stanford.edu>
parents:
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43 x0s = xl + 2*h*rand(1,10);
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Martin Almquist <malmquist@stanford.edu>
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44
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Martin Almquist <malmquist@stanford.edu>
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45 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
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46 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
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47 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
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48 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
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49 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
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50 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
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51 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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52 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
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53 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
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54 end
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Martin Almquist <malmquist@stanford.edu>
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55 end
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Martin Almquist <malmquist@stanford.edu>
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56 end
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Martin Almquist <malmquist@stanford.edu>
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57 end
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Martin Almquist <malmquist@stanford.edu>
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58
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Martin Almquist <malmquist@stanford.edu>
parents:
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59 function testRightGP(testCase)
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Martin Almquist <malmquist@stanford.edu>
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60
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Martin Almquist <malmquist@stanford.edu>
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61 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
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62 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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63
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Martin Almquist <malmquist@stanford.edu>
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64 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
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65 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
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66 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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67 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
parents:
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68
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Martin Almquist <malmquist@stanford.edu>
parents:
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69 % Test right boundary grid points
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Martin Almquist <malmquist@stanford.edu>
parents:
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70 x0s = xr-[0, h, 2*h];
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Martin Almquist <malmquist@stanford.edu>
parents:
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71
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Martin Almquist <malmquist@stanford.edu>
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72 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
parents:
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73 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
parents:
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74 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
parents:
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75 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
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76 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
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77 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
parents:
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78 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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79 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
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80 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
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81 end
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Martin Almquist <malmquist@stanford.edu>
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82 end
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Martin Almquist <malmquist@stanford.edu>
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83 end
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Martin Almquist <malmquist@stanford.edu>
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84 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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85
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Martin Almquist <malmquist@stanford.edu>
parents:
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86 function testRightRandom(testCase)
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Martin Almquist <malmquist@stanford.edu>
parents:
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87
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Martin Almquist <malmquist@stanford.edu>
parents:
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88 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
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89 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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90
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Martin Almquist <malmquist@stanford.edu>
parents:
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91 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
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92 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
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93 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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94 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
parents:
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95
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Martin Almquist <malmquist@stanford.edu>
parents:
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96 % Test random points near right boundary
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Martin Almquist <malmquist@stanford.edu>
parents:
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97 x0s = xr - 2*h*rand(1,10);
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Martin Almquist <malmquist@stanford.edu>
parents:
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98
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Martin Almquist <malmquist@stanford.edu>
parents:
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99 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
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100 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
parents:
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101 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
parents:
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102 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
parents:
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103 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
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104 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
parents:
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105 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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106 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
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107 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
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108 end
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Martin Almquist <malmquist@stanford.edu>
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109 end
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Martin Almquist <malmquist@stanford.edu>
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110 end
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Martin Almquist <malmquist@stanford.edu>
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111 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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112
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Martin Almquist <malmquist@stanford.edu>
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113 function testInteriorGP(testCase)
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Martin Almquist <malmquist@stanford.edu>
parents:
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114
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Martin Almquist <malmquist@stanford.edu>
parents:
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115 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
parents:
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116 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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117
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Martin Almquist <malmquist@stanford.edu>
parents:
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118 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
parents:
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119 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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120 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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121 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
parents:
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122
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Martin Almquist <malmquist@stanford.edu>
parents:
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123 % Test interior grid points
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Martin Almquist <malmquist@stanford.edu>
parents:
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124 m_half = round(m/2);
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Martin Almquist <malmquist@stanford.edu>
parents:
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125 x0s = xl + (m_half-1:m_half+1)*h;
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Martin Almquist <malmquist@stanford.edu>
parents:
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126
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Martin Almquist <malmquist@stanford.edu>
parents:
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127 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
parents:
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128 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
parents:
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129 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
parents:
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130 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
parents:
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131 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
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132 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
parents:
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133 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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134 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
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135 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
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136 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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137 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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138 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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139 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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140
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Martin Almquist <malmquist@stanford.edu>
parents:
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141 function testInteriorRandom(testCase)
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Martin Almquist <malmquist@stanford.edu>
parents:
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142
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Martin Almquist <malmquist@stanford.edu>
parents:
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143 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
parents:
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144 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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145
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Martin Almquist <malmquist@stanford.edu>
parents:
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146 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
parents:
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147 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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148 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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149 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
parents:
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150
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Martin Almquist <malmquist@stanford.edu>
parents:
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151 % Test random points in interior
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Martin Almquist <malmquist@stanford.edu>
parents:
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152 x0s = (xl+2*h) + (xr-xl-4*h)*rand(1,20);
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Martin Almquist <malmquist@stanford.edu>
parents:
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153
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
154 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
155 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
parents:
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156 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
parents:
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157 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
parents:
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158 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
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159 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
parents:
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160 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
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161 err = abs(integral - f(x0));
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
162 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
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163 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
164 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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165 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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166 end
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Martin Almquist <malmquist@stanford.edu>
parents:
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167
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
168 % x0 outside grid should yield 0 integral!
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Martin Almquist <malmquist@stanford.edu>
parents:
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169 function testX0OutsideGrid(testCase)
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Martin Almquist <malmquist@stanford.edu>
parents:
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170
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Martin Almquist <malmquist@stanford.edu>
parents:
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171 orders = [2, 4, 6];
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Martin Almquist <malmquist@stanford.edu>
parents:
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172 mom_conds = orders;
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Martin Almquist <malmquist@stanford.edu>
parents:
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173
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
174 for o = 1:length(orders)
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
175 order = orders(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
176 mom_cond = mom_conds(o);
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Martin Almquist <malmquist@stanford.edu>
parents:
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177 [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond);
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Martin Almquist <malmquist@stanford.edu>
parents:
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178
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Martin Almquist <malmquist@stanford.edu>
parents:
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179 % Test points outisde grid
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Martin Almquist <malmquist@stanford.edu>
parents:
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180 x0s = [xl-1.1*h, xr+1.1*h];
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Martin Almquist <malmquist@stanford.edu>
parents:
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181
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
182 for j = 1:length(fs)
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
183 f = fs{j};
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
184 fx = f(x);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
185 for i = 1:length(x0s)
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
186 x0 = x0s(i);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
187 delta = diracDiscr(x0, x, mom_cond, 0, H);
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Martin Almquist <malmquist@stanford.edu>
parents:
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188 integral = delta'*H*fx;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
189 err = abs(integral - 0);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
190 testCase.verifyLessThan(err, 1e-12);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
191 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
192 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
193 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
194 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
195
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
196 function [xl, xr, m, h, x, H, fs] = setupStuff(order, mom_cond)
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Martin Almquist <malmquist@stanford.edu>
parents:
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197
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Martin Almquist <malmquist@stanford.edu>
parents:
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198 % Grid
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
199 xl = -3;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
200 xr = 2;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
201 m = 21;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
202 h = (xr-xl)/(m-1);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
203 g = grid.equidistant(m, {xl, xr});
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
204 x = g.points();
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
205
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
206 % Quadrature
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
207 ops = sbp.D2Standard(m, {xl, xr}, order);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
208 H = ops.H;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
209
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
210 % Moment conditions
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
211 fs = cell(mom_cond,1);
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
212 for p = 0:mom_cond-1
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
213 fs{p+1} = @(x) x.^p;
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
214 end
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
215
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Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
216 end
46c40711830f Add test for diracDiscr.m
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
217
46c40711830f Add test for diracDiscr.m
Martin Almquist <malmquist@stanford.edu>
parents:
diff changeset
218