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/external/apache-commons-math/src/main/java/org/apache/commons/math3/optim/linear/
DLinearConstraint.java32 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
33 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
34 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
35 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
36 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
37 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
38 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
39 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
40 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
42 …* The c<sub>i</sub>, l<sub>i</sub> or r<sub>i</sub> are the coefficients of the constraints, the x…
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math3/optimization/linear/
DLinearConstraint.java35 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
36 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
37 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
38 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
39 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
40 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
41 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
42 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
43 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
45 …* The c<sub>i</sub>, l<sub>i</sub> or r<sub>i</sub> are the coefficients of the constraints, the x…
[all …]
DLinearOptimizer.java32 * c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v
36 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
37 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
38 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
39 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
40 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
41 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
42 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
43 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
44 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math/optimization/linear/
DLinearConstraint.java35 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
36 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
37 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
38 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
39 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
40 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
41 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
42 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
43 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
45 …* The c<sub>i</sub>, l<sub>i</sub> or r<sub>i</sub> are the coefficients of the constraints, the x…
[all …]
DLinearOptimizer.java32 * c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v
36 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> = v</li>
37 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> &lt;= v</li>
38 * <li>c<sub>1</sub>x<sub>1</sub> + ... c<sub>n</sub>x<sub>n</sub> >= v</li>
39 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> =
40 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
41 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> &lt;=
42 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
43 * <li>l<sub>1</sub>x<sub>1</sub> + ... l<sub>n</sub>x<sub>n</sub> + l<sub>cst</sub> >=
44 * r<sub>1</sub>x<sub>1</sub> + ... r<sub>n</sub>x<sub>n</sub> + r<sub>cst</sub></li>
[all …]
/external/tensorflow/tensorflow/compiler/xla/g3doc/
Dtiled_layout.md27 Without tiling, an element e=(e<sub>n</sub>, e<sub>n-1</sub>, ... ,
28 e<sub>1</sub>) in an array with array bounds d=(d<sub>n</sub>, d<sub>n-1</sub>,
29 ... , d<sub>1</sub>) (d1 is the most minor dimension) is laid out by major to
33 = linear_index((e<sub>n</sub>, e<sub>n-1</sub>, ... , e<sub>1</sub>),
34 (d<sub>n</sub>, d<sub>n-1</sub>, ... , d<sub>1</sub>)) \
35 = e<sub>n</sub>d<sub>n-1</sub>...d<sub>1</sub> +
36 e<sub>n-1</sub>d<sub>n-2</sub>...d<sub>1</sub> + ... + e<sub>1</sub>
45 When tiling of size (t<sub>n</sub>, t<sub>n-1</sub>, ... , t<sub>1</sub>) is
46 used, an element in the array with indices (e<sub>n</sub>, e<sub>n-1</sub>, ...
47 , e<sub>1</sub>) is mapped to this position in the final layout:
[all …]
/external/ltp/testcases/kernel/device-drivers/v4l/user_space/doc/spec/
Dr2492.htm338 >b<SUB
339 >1</SUB
342 >b<SUB
343 >0</SUB
346 >g<SUB
347 >2</SUB
350 >g<SUB
351 >1</SUB
354 >g<SUB
355 >0</SUB
[all …]
Dr3896.htm331 >Cb<SUB
332 >3</SUB
335 >Cb<SUB
336 >2</SUB
339 >Cb<SUB
340 >1</SUB
343 >Cb<SUB
344 >0</SUB
347 >Cr<SUB
348 >3</SUB
[all …]
Dx2123.htm93 >E'<SUB
94 >R</SUB
97 >E'<SUB
98 >G</SUB
101 >E'<SUB
102 >B</SUB
112 >E'<SUB
113 >Y</SUB
115 Coeff<SUB
116 >R</SUB
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math/optimization/fitting/
DHarmonicCoefficientsGuesser.java28 * <p>We know f (t) at some sampling points t<sub>i</sub> and want to find a,
51 * integrals between t<sub>1</sub> and t<sub>i</sub> for each t<sub>i</sub> :
53 …* If2 (t<sub>i</sub>) - If2 (t<sub>1</sub>) = A &times; (t<sub>i</sub> - t<sub>1</sub>) + B &tim…
62 …* <p>For a bilinear expression z (x<sub>i</sub>, y<sub>i</sub>) = A &times; x<sub>i</sub> + B &tim…
64 …* &sum; (z<sub>i</sub> - z (x<sub>i</sub>, y<sub>i</sub>))<sup>2</sup> are given by these expressi…
67 … &sum;y<sub>i</sub>y<sub>i</sub> &sum;x<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
69 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
71 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
73 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
83 * for each t<sub>i</sub> from t<sub>1</sub> to t<sub>n-1</sub>, compute:
[all …]
/external/ot-br-posix/src/dbus/common/
Ddbus_message_helper_openthread.cpp54 DBusMessageIter sub; in DBusMessageExtract() local
61 SuccessOrExit(error = DbusMessageIterRecurse(aIter, &sub, DBUS_TYPE_STRUCT)); in DBusMessageExtract()
63 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mExtAddress)); in DBusMessageExtract()
64 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mNetworkName)); in DBusMessageExtract()
65 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mExtendedPanId)); in DBusMessageExtract()
66 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mSteeringData)); in DBusMessageExtract()
67 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mPanId)); in DBusMessageExtract()
68 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mJoinerUdpPort)); in DBusMessageExtract()
69 SuccessOrExit(error = DBusMessageExtract(&sub, aScanResult.mChannel)); in DBusMessageExtract()
70 SuccessOrExit(error = DBusMessageExtract<int16_t>(&sub, rssi)); in DBusMessageExtract()
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math/transform/
DFastHadamardTransformer.java95 … | x<sub>0</sub> | a<sub>0</sub>=x<sub>0</sub>+x<sub>1</sub> | b<sub>0</sub>=a<sub>0</sub>+a<sub>1…
97 … | x<sub>1</sub> | a<sub>1</sub>=x<sub>2</sub>+x<sub>3</sub> | b<sub>0</sub>=a<sub>2</sub>+a<sub>3…
99 … | x<sub>2</sub> | a<sub>2</sub>=x<sub>4</sub>+x<sub>5</sub> | b<sub>0</sub>=a<sub>4</sub>+a<sub>5…
101 … | x<sub>3</sub> | a<sub>3</sub>=x<sub>6</sub>+x<sub>7</sub> | b<sub>0</sub>=a<sub>6</sub>+a<sub>7…
103 … | x<sub>4</sub> | a<sub>0</sub>=x<sub>0</sub>-x<sub>1</sub> | b<sub>0</sub>=a<sub>0</sub>-a<sub>1…
105 … | x<sub>5</sub> | a<sub>1</sub>=x<sub>2</sub>-x<sub>3</sub> | b<sub>0</sub>=a<sub>2</sub>-a<sub>3…
107 … | x<sub>6</sub> | a<sub>2</sub>=x<sub>4</sub>-x<sub>5</sub> | b<sub>0</sub>=a<sub>4</sub>-a<sub>5…
109 … | x<sub>7</sub> | a<sub>3</sub>=x<sub>6</sub>-x<sub>7</sub> | b<sub>0</sub>=a<sub>6</sub>-a<sub>7…
119 * <li>The entries of the submatrix D<sub>top</sub> are calculated as follows.
120 * <br>D<sub>top</sub> goes from entry [0][1] to [N/2-1][n+1].
[all …]
/external/deqp/android/cts/main/vk-main-2024-03-01/
Dmemory.txt178 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush_map2
179 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate_map2
180 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap_map2
181 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple_map2
182 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_map2
183 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_overlapping_m…
184 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_separate_map2
185 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate_map2
186 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate_overlapp…
187 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate_separate…
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math3/fitting/
DHarmonicFitter.java87 * <p>We know f (t) at some sampling points t<sub>i</sub> and want to find a, &omega; and &phi;
108 * t<sub>1</sub> and t<sub>i</sub> for each t<sub>i</sub> :
111 …* If2 (t<sub>i</sub>) - If2 (t<sub>1</sub>) = A &times; (t<sub>i</sub> - t<sub>1</sub>) + B &tim…
117 * <p>For a bilinear expression z (x<sub>i</sub>, y<sub>i</sub>) = A &times; x<sub>i</sub> + B
118 * &times; y<sub>i</sub>, the coefficients A and B that minimize a least square criterion &sum;
119 * (z<sub>i</sub> - z (x<sub>i</sub>, y<sub>i</sub>))<sup>2</sup> are given by these
124 … &sum;y<sub>i</sub>y<sub>i</sub> &sum;x<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
126 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
128 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
130 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math3/optimization/fitting/
DHarmonicFitter.java85 * <p>We know f (t) at some sampling points t<sub>i</sub> and want to find a,
108 * integrals between t<sub>1</sub> and t<sub>i</sub> for each t<sub>i</sub> :
110 …* If2 (t<sub>i</sub>) - If2 (t<sub>1</sub>) = A &times; (t<sub>i</sub> - t<sub>1</sub>) + B &tim…
119 …* <p>For a bilinear expression z (x<sub>i</sub>, y<sub>i</sub>) = A &times; x<sub>i</sub> + B &tim…
121 …* &sum; (z<sub>i</sub> - z (x<sub>i</sub>, y<sub>i</sub>))<sup>2</sup> are given by these expressi…
124 … &sum;y<sub>i</sub>y<sub>i</sub> &sum;x<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
126 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
128 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>z<sub>i</sub> - &sum;x<sub>i</sub>y<sub
130 … &sum;x<sub>i</sub>x<sub>i</sub> &sum;y<sub>i</sub>y<sub>i</sub> - &sum;x<sub>i</sub>y<sub
140 * for each t<sub>i</sub> from t<sub>1</sub> to t<sub>n-1</sub>, compute:
[all …]
/external/swiftshader/tests/regres/testlists/vk-default/
Dmemory.txt923 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush
924 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush_map2
925 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate
926 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate_map2
927 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap
928 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap_map2
929 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple
930 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple_map2
931 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush
932 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_map2
[all …]
/external/deqp/external/vulkancts/mustpass/main/vk-default/
Dmemory.txt912 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush
913 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush_map2
914 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate
915 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate_map2
916 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap
917 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap_map2
918 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple
919 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple_map2
920 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush
921 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_map2
[all …]
/external/deqp/android/cts/main/vk-main-2019-03-01/
Dmemory.txt508 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.flush
509 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.invalidate
510 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.remap
511 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.simple
512 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush
513 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_overlapping
514 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subflush_separate
515 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate
516 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate_overlapp…
517 dEQP-VK.memory.mapping.dedicated_alloc.buffer.sub.1048577.offset_0.size_1025.subinvalidate_separate
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math3/transform/
DFastHadamardTransformer.java107 * <th>x<sub>0</sub></th>
108 * <td>a<sub>0</sub> = x<sub>0</sub> + x<sub>1</sub></td>
109 * <td>b<sub>0</sub> = a<sub>0</sub> + a<sub>1</sub></td>
110 * <td>y<sub>0</sub> = b<sub>0</sub >+ b<sub>1</sub></td>
113 * <th>x<sub>1</sub></th>
114 * <td>a<sub>1</sub> = x<sub>2</sub> + x<sub>3</sub></td>
115 * <td>b<sub>0</sub> = a<sub>2</sub> + a<sub>3</sub></td>
116 * <td>y<sub>0</sub> = b<sub>2</sub> + b<sub>3</sub></td>
119 * <th>x<sub>2</sub></th>
120 * <td>a<sub>2</sub> = x<sub>4</sub> + x<sub>5</sub></td>
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math/ode/nonstiff/
DAdamsMoultonIntegrator.java41 * derivatives at steps n+1, n, n-1 ... Since y'<sub>n+1</sub> is needed to
42 * compute y<sub>n+1</sub>,another method must be used to compute a first
43 * estimate of y<sub>n+1</sub>, then compute y'<sub>n+1</sub>, then compute
44 * a final estimate of y<sub>n+1</sub> using the following formulas. Depending
48 * <li>k = 1: y<sub>n+1</sub> = y<sub>n</sub> + h y'<sub>n+1</sub></li>
49 * <li>k = 2: y<sub>n+1</sub> = y<sub>n</sub> + h (y'<sub>n+1</sub>+y'<sub>n</sub>)/2</li>
50 …* <li>k = 3: y<sub>n+1</sub> = y<sub>n</sub> + h (5y'<sub>n+1</sub>+8y'<sub>n</sub>-y'<sub>n-1</
51 …* <li>k = 4: y<sub>n+1</sub> = y<sub>n</sub> + h (9y'<sub>n+1</sub>+19y'<sub>n</sub>-5y'<sub>n-1…
59 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
61 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
[all …]
DAdamsNordsieckTransformer.java39 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
41 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
42 * s<sub>2</sub>(n) = h<sup>2</sup>/2 y''<sub>n</sub> for second derivative
43 * s<sub>3</sub>(n) = h<sup>3</sup>/6 y'''<sub>n</sub> for third derivative
45 * s<sub>k</sub>(n) = h<sup>k</sup>/k! y(k)<sub>n</sub> for k<sup>th</sup> derivative
49 * uses first derivatives only, i.e. it handles y<sub>n</sub>, s<sub>1</sub>(n) and
50 * q<sub>n</sub> where q<sub>n</sub> is defined as:
52 …* q<sub>n</sub> = [ s<sub>1</sub>(n-1) s<sub>1</sub>(n-2) ... s<sub>1</sub>(n-(k-1)) ]<sup>T</su…
57 * higher degrees scaled derivatives all taken at the same step, i.e it handles y<sub>n</sub>,
58 * s<sub>1</sub>(n) and r<sub>n</sub>) where r<sub>n</sub> is defined as:
[all …]
DAdamsBashforthIntegrator.java42 * <li>k = 1: y<sub>n+1</sub> = y<sub>n</sub> + h y'<sub>n</sub></li>
43 * <li>k = 2: y<sub>n+1</sub> = y<sub>n</sub> + h (3y'<sub>n</sub>-y'<sub>n-1</sub>)/2</li>
44 …* <li>k = 3: y<sub>n+1</sub> = y<sub>n</sub> + h (23y'<sub>n</sub>-16y'<sub>n-1</sub>+5y'<sub>n-…
45 …* <li>k = 4: y<sub>n+1</sub> = y<sub>n</sub> + h (55y'<sub>n</sub>-59y'<sub>n-1</sub>+37y'<sub>n…
53 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
55 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
56 * s<sub>2</sub>(n) = h<sup>2</sup>/2 y''<sub>n</sub> for second derivative
57 * s<sub>3</sub>(n) = h<sup>3</sup>/6 y'''<sub>n</sub> for third derivative
59 * s<sub>k</sub>(n) = h<sup>k</sup>/k! y(k)<sub>n</sub> for k<sup>th</sup> derivative
65 …* q<sub>n</sub> = [ s<sub>1</sub>(n-1) s<sub>1</sub>(n-2) ... s<sub>1</sub>(n-(k-1)) ]<sup>T</su…
[all …]
/external/apache-commons-math/src/main/java/org/apache/commons/math3/ode/nonstiff/
DAdamsMoultonFieldIntegrator.java46 * derivatives at steps n+1, n, n-1 ... Since y'<sub>n+1</sub> is needed to
47 * compute y<sub>n+1</sub>, another method must be used to compute a first
48 * estimate of y<sub>n+1</sub>, then compute y'<sub>n+1</sub>, then compute
49 * a final estimate of y<sub>n+1</sub> using the following formulas. Depending
53 * <li>k = 1: y<sub>n+1</sub> = y<sub>n</sub> + h y'<sub>n+1</sub></li>
54 * <li>k = 2: y<sub>n+1</sub> = y<sub>n</sub> + h (y'<sub>n+1</sub>+y'<sub>n</sub>)/2</li>
55 …* <li>k = 3: y<sub>n+1</sub> = y<sub>n</sub> + h (5y'<sub>n+1</sub>+8y'<sub>n</sub>-y'<sub>n-1</
56 …* <li>k = 4: y<sub>n+1</sub> = y<sub>n</sub> + h (9y'<sub>n+1</sub>+19y'<sub>n</sub>-5y'<sub>n-1…
64 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
66 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
[all …]
DAdamsMoultonIntegrator.java43 * derivatives at steps n+1, n, n-1 ... Since y'<sub>n+1</sub> is needed to
44 * compute y<sub>n+1</sub>, another method must be used to compute a first
45 * estimate of y<sub>n+1</sub>, then compute y'<sub>n+1</sub>, then compute
46 * a final estimate of y<sub>n+1</sub> using the following formulas. Depending
50 * <li>k = 1: y<sub>n+1</sub> = y<sub>n</sub> + h y'<sub>n+1</sub></li>
51 * <li>k = 2: y<sub>n+1</sub> = y<sub>n</sub> + h (y'<sub>n+1</sub>+y'<sub>n</sub>)/2</li>
52 …* <li>k = 3: y<sub>n+1</sub> = y<sub>n</sub> + h (5y'<sub>n+1</sub>+8y'<sub>n</sub>-y'<sub>n-1</
53 …* <li>k = 4: y<sub>n+1</sub> = y<sub>n</sub> + h (9y'<sub>n+1</sub>+19y'<sub>n</sub>-5y'<sub>n-1…
61 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
63 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
[all …]
DAdamsBashforthIntegrator.java45 * <li>k = 1: y<sub>n+1</sub> = y<sub>n</sub> + h y'<sub>n</sub></li>
46 * <li>k = 2: y<sub>n+1</sub> = y<sub>n</sub> + h (3y'<sub>n</sub>-y'<sub>n-1</sub>)/2</li>
47 …* <li>k = 3: y<sub>n+1</sub> = y<sub>n</sub> + h (23y'<sub>n</sub>-16y'<sub>n-1</sub>+5y'<sub>n-…
48 …* <li>k = 4: y<sub>n+1</sub> = y<sub>n</sub> + h (55y'<sub>n</sub>-59y'<sub>n-1</sub>+37y'<sub>n…
56 * <p>We define scaled derivatives s<sub>i</sub>(n) at step n as:
58 * s<sub>1</sub>(n) = h y'<sub>n</sub> for first derivative
59 * s<sub>2</sub>(n) = h<sup>2</sup>/2 y''<sub>n</sub> for second derivative
60 * s<sub>3</sub>(n) = h<sup>3</sup>/6 y'''<sub>n</sub> for third derivative
62 * s<sub>k</sub>(n) = h<sup>k</sup>/k! y<sup>(k)</sup><sub>n</sub> for k<sup>th</sup> derivative
68 …* q<sub>n</sub> = [ s<sub>1</sub>(n-1) s<sub>1</sub>(n-2) ... s<sub>1</sub>(n-(k-1)) ]<sup>T</su…
[all …]

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