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lagrange_functions.h
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4 * Copyright (c) 2003-2020 by The University of Queensland
5 * http://www.uq.edu.au
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7 * Primary Business: Queensland, Australia
8 * Licensed under the Apache License, version 2.0
9 * http://www.apache.org/licenses/LICENSE-2.0
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11 * Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 * Development 2012-2013 by School of Earth Sciences
13 * Development from 2014-2017 by Centre for Geoscience Computing (GeoComp)
14 * Development from 2019 by School of Earth and Environmental Sciences
15 **
16 *****************************************************************************/
17 
18 namespace speckley {
19 
20 inline double lagrange_degree2_0(double xi) {
21  return 0.5*xi*(xi - 1.0);
22 }
23 
24 inline double lagrange_degree2_1(double xi) {
25  return -1.0*pow(xi, 2) + 1.0;
26 }
27 
28 inline double lagrange_degree2_2(double xi) {
29  return 0.5*xi*(xi + 1.0);
30 }
31 
32 inline double lagrange_degree3_0(double xi) {
33  return (-0.625*xi + 0.625)*(xi - 0.447213595499958)*(xi + 0.447213595499958);
34 }
35 
36 inline double lagrange_degree3_1(double xi) {
37  return (xi - 0.447213595499958)*(xi + 1.0)*(1.39754248593737*xi - 1.39754248593737);
38 }
39 
40 inline double lagrange_degree3_2(double xi) {
41  return (-1.39754248593737*xi + 1.39754248593737)*(xi + 0.447213595499958)*(xi + 1.0);
42 }
43 
44 inline double lagrange_degree3_3(double xi) {
45  return (0.625*xi - 0.279508497187474)*(xi + 0.447213595499958)*(xi + 1.0);
46 }
47 
48 inline double lagrange_degree4_0(double xi) {
49  return 0.874999999999998*xi*(xi - 1.0)*(xi - 0.654653670707977)*(xi + 0.654653670707977);
50 }
51 
52 inline double lagrange_degree4_1(double xi) {
53  return -2.04166666666667*xi*(xi - 1.0)*(xi - 0.654653670707977)*(xi + 1.0);
54 }
55 
56 inline double lagrange_degree4_2(double xi) {
57  return (xi - 0.654653670707977)*(xi + 0.654653670707977)*(xi + 1.0)*(2.33333333333333*xi - 2.33333333333333);
58 }
59 
60 inline double lagrange_degree4_3(double xi) {
61  return -2.04166666666667*xi*(xi - 1.0)*(xi + 0.654653670707977)*(xi + 1.0);
62 }
63 
64 inline double lagrange_degree4_4(double xi) {
65  return 0.875*xi*(xi - 0.654653670707977)*(xi + 0.654653670707977)*(xi + 1.0);
66 }
67 
68 inline double lagrange_degree5_0(double xi) {
69  return (-1.31250000000001*xi + 1.31250000000001)*(xi - 0.765055323929464)*(xi - 0.285231516480645)*(xi + 0.285231516480645)*(xi + 0.765055323929466);
70 }
71 
72 inline double lagrange_degree5_1(double xi) {
73  return (xi - 0.765055323929464)*(xi - 0.285231516480645)*(xi + 0.285231516480645)*(xi + 1.0)*(3.12725658269744*xi - 3.12725658269744);
74 }
75 
76 inline double lagrange_degree5_2(double xi) {
77  return (-3.78648303389511*xi + 3.78648303389511)*(xi - 0.765055323929464)*(xi - 0.285231516480645)*(xi + 0.765055323929466)*(xi + 1.0);
78 }
79 
80 inline double lagrange_degree5_3(double xi) {
81  return (xi - 0.765055323929464)*(xi + 0.285231516480645)*(xi + 0.765055323929466)*(xi + 1.0)*(3.78648303389512*xi - 3.78648303389512);
82 }
83 
84 inline double lagrange_degree5_4(double xi) {
85  return (-3.12725658269744*xi + 3.12725658269744)*(xi - 0.285231516480645)*(xi + 0.285231516480645)*(xi + 0.765055323929466)*(xi + 1.0);
86 }
87 
88 inline double lagrange_degree5_5(double xi) {
89  return (xi - 0.285231516480645)*(xi + 0.285231516480645)*(xi + 0.765055323929466)*(xi + 1.0)*(1.3125*xi - 1.00413511265742);
90 }
91 
92 inline double lagrange_degree6_0(double xi) {
93  return 2.06249999999999*xi*(xi - 1.0)*(xi - 0.830223896278565)*(xi - 0.468848793470715)*(xi + 0.468848793470714)*(xi + 0.830223896278566);
94 }
95 
96 inline double lagrange_degree6_1(double xi) {
97  return -4.97286970608696*xi*(xi - 1.0)*(xi - 0.830223896278565)*(xi - 0.468848793470715)*(xi + 0.468848793470714)*(xi + 1.0);
98 }
99 
100 inline double lagrange_degree6_2(double xi) {
101  return 6.21036970608698*xi*(xi - 1.0)*(xi - 0.830223896278565)*(xi - 0.468848793470715)*(xi + 0.830223896278566)*(xi + 1.0);
102 }
103 
104 inline double lagrange_degree6_3(double xi) {
105  return -6.6*pow(xi, 6) + 12.6*pow(xi, 4) - 7.0*pow(xi, 2) + 1.46549439250521e-15*xi + 1.0;
106 }
107 
108 inline double lagrange_degree6_4(double xi) {
109  return 6.21036970608699*xi*(xi - 1.0)*(xi - 0.830223896278565)*(xi + 0.468848793470714)*(xi + 0.830223896278566)*(xi + 1.0);
110 }
111 
112 inline double lagrange_degree6_5(double xi) {
113  return -4.97286970608697*xi*(xi - 1.0)*(xi - 0.468848793470715)*(xi + 0.468848793470714)*(xi + 0.830223896278566)*(xi + 1.0);
114 }
115 
116 inline double lagrange_degree6_6(double xi) {
117  return 2.06249999999999*xi*(xi - 0.830223896278565)*(xi - 0.468848793470715)*(xi + 0.468848793470714)*(xi + 0.830223896278566)*(xi + 1.0);
118 }
119 
120 inline double lagrange_degree7_0(double xi) {
121  return (-3.35156249999998*xi + 3.35156249999997)*(xi - 0.871740148509608)*(xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606);
122 }
123 
124 inline double lagrange_degree7_1(double xi) {
125  return (xi - 0.871740148509608)*(xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 1.0)*(8.14072271825386*xi - 8.14072271825384);
126 }
127 
128 inline double lagrange_degree7_2(double xi) {
129  return (-10.3581368289505*xi + 10.3581368289505)*(xi - 0.871740148509608)*(xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.871740148509606)*(xi + 1.0);
130 }
131 
132 inline double lagrange_degree7_3(double xi) {
133  return (xi - 0.871740148509608)*(xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606)*(xi + 1.0)*(11.3898137484866*xi - 11.3898137484866);
134 }
135 
136 inline double lagrange_degree7_4(double xi) {
137  return (-11.3898137484866*xi + 11.3898137484866)*(xi - 0.871740148509608)*(xi - 0.591700181433143)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606)*(xi + 1.0);
138 }
139 
140 inline double lagrange_degree7_5(double xi) {
141  return (xi - 0.871740148509608)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606)*(xi + 1.0)*(10.3581368289505*xi - 10.3581368289505);
142 }
143 
144 inline double lagrange_degree7_6(double xi) {
145  return (-8.140722718254*xi + 8.14072271825398)*(xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606)*(xi + 1.0);
146 }
147 
148 inline double lagrange_degree7_7(double xi) {
149  return (xi - 0.591700181433143)*(xi - 0.209299217902479)*(xi + 0.209299217902479)*(xi + 0.591700181433142)*(xi + 0.871740148509606)*(xi + 1.0)*(3.35156250000011*xi - 2.92169159148933);
150 }
151 
152 inline double lagrange_degree8_0(double xi) {
153  return 5.58593750000054*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471);
154 }
155 
156 inline double lagrange_degree8_1(double xi) {
157  return -13.63453200049*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 1.0);
158 }
159 
160 inline double lagrange_degree8_2(double xi) {
161  return 17.5609949844529*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.899757995411471)*(xi + 1.0);
162 }
163 
164 inline double lagrange_degree8_3(double xi) {
165  return -19.7266861982491*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0);
166 }
167 
168 inline double lagrange_degree8_4(double xi) {
169  return (xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0)*(20.4285714285713*xi - 20.4285714285713);
170 }
171 
172 inline double lagrange_degree8_5(double xi) {
173  return -19.7266861982493*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0);
174 }
175 
176 inline double lagrange_degree8_6(double xi) {
177  return 17.5609949844536*xi*(xi - 1.0)*(xi - 0.899757995411458)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0);
178 }
179 
180 inline double lagrange_degree8_7(double xi) {
181  return -13.6345320004894*xi*(xi - 1.0)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0);
182 }
183 
184 inline double lagrange_degree8_8(double xi) {
185  return 5.58593749999947*xi*(xi - 0.899757995411458)*(xi - 0.677186279510736)*(xi - 0.363117463826179)*(xi + 0.363117463826178)*(xi + 0.677186279510735)*(xi + 0.899757995411471)*(xi + 1.0);
186 }
187 
188 inline double lagrange_degree9_0(double xi) {
189  return (-9.49609374999916*xi + 9.49609374999925)*(xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451);
190 }
191 
192 inline double lagrange_degree9_1(double xi) {
193  return (xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 1.0)*(23.2581991069278*xi - 23.258199106928);
194 }
195 
196 inline double lagrange_degree9_2(double xi) {
197  return (-30.2089539641755*xi + 30.2089539641758)*(xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.919533908166451)*(xi + 1.0);
198 }
199 
200 inline double lagrange_degree9_3(double xi) {
201  return (xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0)*(34.4250370034967*xi - 34.425037003497);
202 }
203 
204 inline double lagrange_degree9_4(double xi) {
205  return (-36.4571961125312*xi + 36.4571961125316)*(xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0);
206 }
207 
208 inline double lagrange_degree9_5(double xi) {
209  return (xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0)*(36.4571961125312*xi - 36.4571961125316);
210 }
211 
212 inline double lagrange_degree9_6(double xi) {
213  return (-34.4250370034965*xi + 34.4250370034968)*(xi - 0.919533908166451)*(xi - 0.738773865105506)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0);
214 }
215 
216 inline double lagrange_degree9_7(double xi) {
217  return (xi - 0.919533908166451)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0)*(30.2089539641749*xi - 30.2089539641752);
218 }
219 
220 inline double lagrange_degree9_8(double xi) {
221  return (-23.2581991069258*xi + 23.258199106926)*(xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0);
222 }
223 
224 inline double lagrange_degree9_9(double xi) {
225  return (xi - 0.738773865105506)*(xi - 0.477924949810445)*(xi - 0.165278957666387)*(xi + 0.165278957666387)*(xi + 0.477924949810445)*(xi + 0.738773865105507)*(xi + 0.919533908166451)*(xi + 1.0)*(9.49609374999766*xi - 8.73198019825036);
226 }
227 
228 inline double lagrange_degree10_0(double xi) {
229  return 16.4023437499897*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012);
230 }
231 
232 inline double lagrange_degree10_1(double xi) {
233  return -40.2732656174519*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 1.0);
234 }
235 
236 inline double lagrange_degree10_2(double xi) {
237  return 52.62659082067*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.934001430408012)*(xi + 1.0);
238 }
239 
240 inline double lagrange_degree10_3(double xi) {
241  return -60.5836186612294*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
242 }
243 
244 inline double lagrange_degree10_4(double xi) {
245  return 65.1533465334198*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
246 }
247 
248 inline double lagrange_degree10_5(double xi) {
249  return (-66.650793650796*xi + 66.6507936507973)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
250 }
251 
252 inline double lagrange_degree10_6(double xi) {
253  return 65.1533465334186*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
254 }
255 
256 inline double lagrange_degree10_7(double xi) {
257  return -60.5836186612267*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
258 }
259 
260 inline double lagrange_degree10_8(double xi) {
261  return 52.6265908206628*xi*(xi - 1.00000000000002)*(xi - 0.934001430408021)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
262 }
263 
264 inline double lagrange_degree10_9(double xi) {
265  return -40.2732656174398*xi*(xi - 1.00000000000002)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
266 }
267 
268 inline double lagrange_degree10_10(double xi) {
269  return 16.402343749983*xi*(xi - 0.934001430408021)*(xi - 0.784483473663165)*(xi - 0.565235326996199)*(xi - 0.29575813558694)*(xi + 0.295758135586939)*(xi + 0.565235326996199)*(xi + 0.784483473663166)*(xi + 0.934001430408012)*(xi + 1.0);
270 }
271 
272 } //namespace speckley
273 
speckley::lagrange_degree10_7
double lagrange_degree10_7(double xi)
Definition: lagrange_functions.h:256
speckley::lagrange_degree9_3
double lagrange_degree9_3(double xi)
Definition: lagrange_functions.h:200
speckley::lagrange_degree10_3
double lagrange_degree10_3(double xi)
Definition: lagrange_functions.h:240
speckley::lagrange_degree9_8
double lagrange_degree9_8(double xi)
Definition: lagrange_functions.h:220
speckley::lagrange_degree8_2
double lagrange_degree8_2(double xi)
Definition: lagrange_functions.h:160
speckley::lagrange_degree10_1
double lagrange_degree10_1(double xi)
Definition: lagrange_functions.h:232
speckley::lagrange_degree9_2
double lagrange_degree9_2(double xi)
Definition: lagrange_functions.h:196
speckley::lagrange_degree10_4
double lagrange_degree10_4(double xi)
Definition: lagrange_functions.h:244
speckley::lagrange_degree4_1
double lagrange_degree4_1(double xi)
Definition: lagrange_functions.h:52
speckley::lagrange_degree4_2
double lagrange_degree4_2(double xi)
Definition: lagrange_functions.h:56
speckley::lagrange_degree8_0
double lagrange_degree8_0(double xi)
Definition: lagrange_functions.h:152
speckley::lagrange_degree8_1
double lagrange_degree8_1(double xi)
Definition: lagrange_functions.h:156
speckley::lagrange_degree7_4
double lagrange_degree7_4(double xi)
Definition: lagrange_functions.h:136
speckley::lagrange_degree8_3
double lagrange_degree8_3(double xi)
Definition: lagrange_functions.h:164
speckley::lagrange_degree7_6
double lagrange_degree7_6(double xi)
Definition: lagrange_functions.h:144
speckley::lagrange_degree9_5
double lagrange_degree9_5(double xi)
Definition: lagrange_functions.h:208
speckley::lagrange_degree10_2
double lagrange_degree10_2(double xi)
Definition: lagrange_functions.h:236
speckley::lagrange_degree9_9
double lagrange_degree9_9(double xi)
Definition: lagrange_functions.h:224
speckley::lagrange_degree5_2
double lagrange_degree5_2(double xi)
Definition: lagrange_functions.h:76
speckley::lagrange_degree5_0
double lagrange_degree5_0(double xi)
Definition: lagrange_functions.h:68
speckley::lagrange_degree2_2
double lagrange_degree2_2(double xi)
Definition: lagrange_functions.h:28
speckley::lagrange_degree8_8
double lagrange_degree8_8(double xi)
Definition: lagrange_functions.h:184
speckley::lagrange_degree6_4
double lagrange_degree6_4(double xi)
Definition: lagrange_functions.h:108
speckley::lagrange_degree5_3
double lagrange_degree5_3(double xi)
Definition: lagrange_functions.h:80
speckley::lagrange_degree9_0
double lagrange_degree9_0(double xi)
Definition: lagrange_functions.h:188
speckley::lagrange_degree10_8
double lagrange_degree10_8(double xi)
Definition: lagrange_functions.h:260
speckley::lagrange_degree8_7
double lagrange_degree8_7(double xi)
Definition: lagrange_functions.h:180
speckley::lagrange_degree7_2
double lagrange_degree7_2(double xi)
Definition: lagrange_functions.h:128
speckley::lagrange_degree4_3
double lagrange_degree4_3(double xi)
Definition: lagrange_functions.h:60
speckley::lagrange_degree9_6
double lagrange_degree9_6(double xi)
Definition: lagrange_functions.h:212
speckley::lagrange_degree8_6
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Definition: lagrange_functions.h:176
speckley::lagrange_degree7_3
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Definition: lagrange_functions.h:132
speckley::lagrange_degree5_4
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Definition: lagrange_functions.h:84
speckley
Definition: AbstractAssembler.cpp:19
speckley::lagrange_degree6_6
double lagrange_degree6_6(double xi)
Definition: lagrange_functions.h:116
speckley::lagrange_degree5_1
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Definition: lagrange_functions.h:72
speckley::lagrange_degree2_1
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Definition: lagrange_functions.h:24
speckley::lagrange_degree10_10
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Definition: lagrange_functions.h:268
speckley::lagrange_degree6_2
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Definition: lagrange_functions.h:100
speckley::lagrange_degree7_0
double lagrange_degree7_0(double xi)
Definition: lagrange_functions.h:120
speckley::lagrange_degree7_7
double lagrange_degree7_7(double xi)
Definition: lagrange_functions.h:148
speckley::lagrange_degree6_5
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Definition: lagrange_functions.h:112
speckley::lagrange_degree6_3
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Definition: lagrange_functions.h:104
speckley::lagrange_degree10_9
double lagrange_degree10_9(double xi)
Definition: lagrange_functions.h:264
speckley::lagrange_degree8_5
double lagrange_degree8_5(double xi)
Definition: lagrange_functions.h:172
speckley::lagrange_degree8_4
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Definition: lagrange_functions.h:168
speckley::lagrange_degree7_5
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Definition: lagrange_functions.h:140
speckley::lagrange_degree9_4
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Definition: lagrange_functions.h:204
speckley::lagrange_degree5_5
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Definition: lagrange_functions.h:88
speckley::lagrange_degree10_6
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Definition: lagrange_functions.h:252
speckley::lagrange_degree4_0
double lagrange_degree4_0(double xi)
Definition: lagrange_functions.h:48
speckley::lagrange_degree6_0
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Definition: lagrange_functions.h:92
speckley::lagrange_degree3_0
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Definition: lagrange_functions.h:32
speckley::lagrange_degree6_1
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Definition: lagrange_functions.h:96
speckley::lagrange_degree10_0
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Definition: lagrange_functions.h:228
speckley::lagrange_degree3_2
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Definition: lagrange_functions.h:40
speckley::lagrange_degree3_3
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Definition: lagrange_functions.h:44
speckley::lagrange_degree2_0
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Definition: lagrange_functions.h:20
speckley::lagrange_degree9_7
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Definition: lagrange_functions.h:216
speckley::lagrange_degree7_1
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Definition: lagrange_functions.h:124
speckley::lagrange_degree3_1
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Definition: lagrange_functions.h:36
speckley::lagrange_degree4_4
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Definition: lagrange_functions.h:64
speckley::lagrange_degree9_1
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Definition: lagrange_functions.h:192
speckley::lagrange_degree10_5
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Definition: lagrange_functions.h:248