001 // --- BEGIN LICENSE BLOCK ---
002 /*
003 * Copyright (c) 2009, Mikio L. Braun
004 * All rights reserved.
005 *
006 * Redistribution and use in source and binary forms, with or without
007 * modification, are permitted provided that the following conditions are
008 * met:
009 *
010 * * Redistributions of source code must retain the above copyright
011 * notice, this list of conditions and the following disclaimer.
012 *
013 * * Redistributions in binary form must reproduce the above
014 * copyright notice, this list of conditions and the following
015 * disclaimer in the documentation and/or other materials provided
016 * with the distribution.
017 *
018 * * Neither the name of the Technische Universit??t Berlin nor the
019 * names of its contributors may be used to endorse or promote
020 * products derived from this software without specific prior
021 * written permission.
022 *
023 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
024 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
025 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
026 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
027 * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
028 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
029 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
030 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
031 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
032 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
033 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
034 */
035 // --- END LICENSE BLOCK ---
036
037 package org.jblas;
038
039 /**
040 * Native BLAS and LAPACK functions.
041 *
042 * <p>The NativeBlas class contains the native BLAS and LAPACK functions. Each
043 * Fortran function is mapped to a static method of this class. For each array argument,
044 * an additional parameter is introduced which gives the offset from the beginning of
045 * the passed array. In C, you would be able to pass a different pointer, but
046 * in Java, you can only pass the whole array.</p>
047 *
048 * <p>Note that due to the way the JNI is usually implemented, the arrays are first
049 * copied outside of the JVM before the function is called. This means that
050 * functions whose runtime is linear in the amount of memory do usually not
051 * run faster just because you are using a native implementation. This holds true
052 * for most Level 1 BLAS routines (like vector addition), and unfortunately also
053 * for most Level 2 BLAS routines (like matrix-vector multiplication). For these,
054 * there exists a class JavaBlas which contains Java implementations.</p>
055 *
056 * <p>In LAPACK, there exist routines which require workspace to be allocated together
057 * with a standard procedure for computing the size of these workspaces. jblas
058 * automatically also generates wrappers for these routines with automatic
059 * workspace allocation. These routines have the same name, but the workspace
060 * arguments are removed.</p>
061 *
062 * <p>Finally, an example: The fortran routine<pre>
063 * SUBROUTINE DAXPY(N,DA,DX,INCX,DY,INCY)
064 * DOUBLE PRECISION DA
065 * INTEGER INCX,INCY,N
066 * DOUBLE PRECISION DX(*),DY(*)
067 * </pre>
068 * becomes <pre>
069 * public static native void daxpy(int n, double da, double[] dx, int dxIdx,
070 * int incx, double[] dy, int dyIdx, int incy);
071 * </pre>
072 */
073 public class NativeBlas {
074
075 static {
076 try {
077 System.loadLibrary("jblas");
078 }
079 catch(UnsatisfiedLinkError e) {
080 System.err.println(
081 "BLAS native library not found in path. Copying native library\n" +
082 "from the archive. Consider installing the library somewhere\n" +
083 "in the path (for Windows: PATH, for Linux: LD_LIBRARY_PATH).");
084 new org.jblas.util.LibraryLoader().loadLibrary("jblas");
085 }
086 }
087
088 private static int[] intDummy = new int[1];
089 private static double[] doubleDummy = new double[1];
090 private static float[] floatDummy = new float[1];
091
092 public static native void caxpy(int n, ComplexFloat ca, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy);
093 public static native void ccopy(int n, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy);
094 public static native ComplexFloat cdotc(int n, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy);
095 public static native ComplexFloat cdotu(int n, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy);
096 public static native void cgbmv(char trans, int m, int n, int kl, int ku, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, ComplexFloat beta, float[] y, int yIdx, int incy);
097 public static native void cgemm(char transa, char transb, int m, int n, int k, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, ComplexFloat beta, float[] c, int cIdx, int ldc);
098 public static native void cgemv(char trans, int m, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, ComplexFloat beta, float[] y, int yIdx, int incy);
099 public static native void cgerc(int m, int n, ComplexFloat alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] a, int aIdx, int lda);
100 public static native void cgeru(int m, int n, ComplexFloat alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] a, int aIdx, int lda);
101 public static native void chbmv(char uplo, int n, int k, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, ComplexFloat beta, float[] y, int yIdx, int incy);
102 public static native void chemm(char side, char uplo, int m, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, ComplexFloat beta, float[] c, int cIdx, int ldc);
103 public static native void chemv(char uplo, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, ComplexFloat beta, float[] y, int yIdx, int incy);
104 public static native void cher2(char uplo, int n, ComplexFloat alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] a, int aIdx, int lda);
105 public static native void cher2k(char uplo, char trans, int n, int k, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, float beta, float[] c, int cIdx, int ldc);
106 public static native void cher(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] a, int aIdx, int lda);
107 public static native void cherk(char uplo, char trans, int n, int k, float alpha, float[] a, int aIdx, int lda, float beta, float[] c, int cIdx, int ldc);
108 public static native void chpmv(char uplo, int n, ComplexFloat alpha, float[] ap, int apIdx, float[] x, int xIdx, int incx, ComplexFloat beta, float[] y, int yIdx, int incy);
109 public static native void chpr2(char uplo, int n, ComplexFloat alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] ap, int apIdx);
110 public static native void chpr(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] ap, int apIdx);
111 public static native void crotg(ComplexFloat ca, ComplexFloat cb, float c, ComplexFloat s);
112 public static native void cscal(int n, ComplexFloat ca, float[] cx, int cxIdx, int incx);
113 public static native void csrot(int n, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy, float c, float s);
114 public static native void csscal(int n, float sa, float[] cx, int cxIdx, int incx);
115 public static native void cswap(int n, float[] cx, int cxIdx, int incx, float[] cy, int cyIdx, int incy);
116 public static native void csymm(char side, char uplo, int m, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, ComplexFloat beta, float[] c, int cIdx, int ldc);
117 public static native void csyr2k(char uplo, char trans, int n, int k, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, ComplexFloat beta, float[] c, int cIdx, int ldc);
118 public static native void csyrk(char uplo, char trans, int n, int k, ComplexFloat alpha, float[] a, int aIdx, int lda, ComplexFloat beta, float[] c, int cIdx, int ldc);
119 public static native void ctbmv(char uplo, char trans, char diag, int n, int k, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
120 public static native void ctbsv(char uplo, char trans, char diag, int n, int k, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
121 public static native void ctpmv(char uplo, char trans, char diag, int n, float[] ap, int apIdx, float[] x, int xIdx, int incx);
122 public static native void ctpsv(char uplo, char trans, char diag, int n, float[] ap, int apIdx, float[] x, int xIdx, int incx);
123 public static native void ctrmm(char side, char uplo, char transa, char diag, int m, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb);
124 public static native void ctrmv(char uplo, char trans, char diag, int n, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
125 public static native void ctrsm(char side, char uplo, char transa, char diag, int m, int n, ComplexFloat alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb);
126 public static native void ctrsv(char uplo, char trans, char diag, int n, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
127 public static native double dasum(int n, double[] dx, int dxIdx, int incx);
128 public static native void daxpy(int n, double da, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy);
129 public static native double dcabs1(ComplexDouble z);
130 public static native void dcopy(int n, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy);
131 public static native double ddot(int n, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy);
132 public static native void dgbmv(char trans, int m, int n, int kl, int ku, double alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, double beta, double[] y, int yIdx, int incy);
133 public static native void dgemm(char transa, char transb, int m, int n, int k, double alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, double beta, double[] c, int cIdx, int ldc);
134 public static native void dgemv(char trans, int m, int n, double alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, double beta, double[] y, int yIdx, int incy);
135 public static native void dger(int m, int n, double alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] a, int aIdx, int lda);
136 public static native double dnrm2(int n, double[] x, int xIdx, int incx);
137 public static native void drot(int n, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy, double c, double s);
138 public static native void drotg(double da, double db, double c, double s);
139 public static native void drotm(int n, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy, double[] dparam, int dparamIdx);
140 public static native void drotmg(double[] dd1, int dd1Idx, double[] dd2, int dd2Idx, double[] dx1, int dx1Idx, double dy1, double[] dparam, int dparamIdx);
141 public static native void dsbmv(char uplo, int n, int k, double alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, double beta, double[] y, int yIdx, int incy);
142 public static native void dscal(int n, double da, double[] dx, int dxIdx, int incx);
143 public static native void dspmv(char uplo, int n, double alpha, double[] ap, int apIdx, double[] x, int xIdx, int incx, double beta, double[] y, int yIdx, int incy);
144 public static native void dspr2(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] ap, int apIdx);
145 public static native void dspr(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] ap, int apIdx);
146 public static native void dswap(int n, double[] dx, int dxIdx, int incx, double[] dy, int dyIdx, int incy);
147 public static native void dsymm(char side, char uplo, int m, int n, double alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, double beta, double[] c, int cIdx, int ldc);
148 public static native void dsymv(char uplo, int n, double alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, double beta, double[] y, int yIdx, int incy);
149 public static native void dsyr2(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] a, int aIdx, int lda);
150 public static native void dsyr2k(char uplo, char trans, int n, int k, double alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, double beta, double[] c, int cIdx, int ldc);
151 public static native void dsyr(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] a, int aIdx, int lda);
152 public static native void dsyrk(char uplo, char trans, int n, int k, double alpha, double[] a, int aIdx, int lda, double beta, double[] c, int cIdx, int ldc);
153 public static native void dtbmv(char uplo, char trans, char diag, int n, int k, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
154 public static native void dtbsv(char uplo, char trans, char diag, int n, int k, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
155 public static native void dtpmv(char uplo, char trans, char diag, int n, double[] ap, int apIdx, double[] x, int xIdx, int incx);
156 public static native void dtpsv(char uplo, char trans, char diag, int n, double[] ap, int apIdx, double[] x, int xIdx, int incx);
157 public static native void dtrmm(char side, char uplo, char transa, char diag, int m, int n, double alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb);
158 public static native void dtrmv(char uplo, char trans, char diag, int n, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
159 public static native void dtrsm(char side, char uplo, char transa, char diag, int m, int n, double alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb);
160 public static native void dtrsv(char uplo, char trans, char diag, int n, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
161 public static native double dzasum(int n, double[] zx, int zxIdx, int incx);
162 public static native double dznrm2(int n, double[] x, int xIdx, int incx);
163 public static native int icamax(int n, float[] cx, int cxIdx, int incx);
164 public static native int idamax(int n, double[] dx, int dxIdx, int incx);
165 public static native int isamax(int n, float[] sx, int sxIdx, int incx);
166 public static native int izamax(int n, double[] zx, int zxIdx, int incx);
167 public static native int lsame(char ca, char cb);
168 public static native float sasum(int n, float[] sx, int sxIdx, int incx);
169 public static native void saxpy(int n, float sa, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy);
170 public static native float scasum(int n, float[] cx, int cxIdx, int incx);
171 public static native float scnrm2(int n, float[] x, int xIdx, int incx);
172 public static native void scopy(int n, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy);
173 public static native float sdot(int n, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy);
174 public static native void sgbmv(char trans, int m, int n, int kl, int ku, float alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, float beta, float[] y, int yIdx, int incy);
175 public static native void sgemm(char transa, char transb, int m, int n, int k, float alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, float beta, float[] c, int cIdx, int ldc);
176 public static native void sgemv(char trans, int m, int n, float alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, float beta, float[] y, int yIdx, int incy);
177 public static native void sger(int m, int n, float alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] a, int aIdx, int lda);
178 public static native float snrm2(int n, float[] x, int xIdx, int incx);
179 public static native void srot(int n, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy, float c, float s);
180 public static native void srotg(float sa, float sb, float c, float s);
181 public static native void srotm(int n, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy, float[] sparam, int sparamIdx);
182 public static native void srotmg(float[] sd1, int sd1Idx, float[] sd2, int sd2Idx, float[] sx1, int sx1Idx, float sy1, float[] sparam, int sparamIdx);
183 public static native void ssbmv(char uplo, int n, int k, float alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, float beta, float[] y, int yIdx, int incy);
184 public static native void sscal(int n, float sa, float[] sx, int sxIdx, int incx);
185 public static native void sspmv(char uplo, int n, float alpha, float[] ap, int apIdx, float[] x, int xIdx, int incx, float beta, float[] y, int yIdx, int incy);
186 public static native void sspr2(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] ap, int apIdx);
187 public static native void sspr(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] ap, int apIdx);
188 public static native void sswap(int n, float[] sx, int sxIdx, int incx, float[] sy, int syIdx, int incy);
189 public static native void ssymm(char side, char uplo, int m, int n, float alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, float beta, float[] c, int cIdx, int ldc);
190 public static native void ssymv(char uplo, int n, float alpha, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx, float beta, float[] y, int yIdx, int incy);
191 public static native void ssyr2(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] y, int yIdx, int incy, float[] a, int aIdx, int lda);
192 public static native void ssyr2k(char uplo, char trans, int n, int k, float alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb, float beta, float[] c, int cIdx, int ldc);
193 public static native void ssyr(char uplo, int n, float alpha, float[] x, int xIdx, int incx, float[] a, int aIdx, int lda);
194 public static native void ssyrk(char uplo, char trans, int n, int k, float alpha, float[] a, int aIdx, int lda, float beta, float[] c, int cIdx, int ldc);
195 public static native void stbmv(char uplo, char trans, char diag, int n, int k, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
196 public static native void stbsv(char uplo, char trans, char diag, int n, int k, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
197 public static native void stpmv(char uplo, char trans, char diag, int n, float[] ap, int apIdx, float[] x, int xIdx, int incx);
198 public static native void stpsv(char uplo, char trans, char diag, int n, float[] ap, int apIdx, float[] x, int xIdx, int incx);
199 public static native void strmm(char side, char uplo, char transa, char diag, int m, int n, float alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb);
200 public static native void strmv(char uplo, char trans, char diag, int n, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
201 public static native void strsm(char side, char uplo, char transa, char diag, int m, int n, float alpha, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb);
202 public static native void strsv(char uplo, char trans, char diag, int n, float[] a, int aIdx, int lda, float[] x, int xIdx, int incx);
203 public static native void zaxpy(int n, ComplexDouble za, double[] zx, int zxIdx, int incx, double[] zy, int zyIdx, int incy);
204 public static native void zcopy(int n, double[] zx, int zxIdx, int incx, double[] zy, int zyIdx, int incy);
205 public static native ComplexDouble zdotc(int n, double[] zx, int zxIdx, int incx, double[] zy, int zyIdx, int incy);
206 public static native ComplexDouble zdotu(int n, double[] zx, int zxIdx, int incx, double[] zy, int zyIdx, int incy);
207 public static native void zdrot(int n, double[] cx, int cxIdx, int incx, double[] cy, int cyIdx, int incy, double c, double s);
208 public static native void zdscal(int n, double da, double[] zx, int zxIdx, int incx);
209 public static native void zgbmv(char trans, int m, int n, int kl, int ku, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, ComplexDouble beta, double[] y, int yIdx, int incy);
210 public static native void zgemm(char transa, char transb, int m, int n, int k, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, ComplexDouble beta, double[] c, int cIdx, int ldc);
211 public static native void zgemv(char trans, int m, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, ComplexDouble beta, double[] y, int yIdx, int incy);
212 public static native void zgerc(int m, int n, ComplexDouble alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] a, int aIdx, int lda);
213 public static native void zgeru(int m, int n, ComplexDouble alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] a, int aIdx, int lda);
214 public static native void zhbmv(char uplo, int n, int k, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, ComplexDouble beta, double[] y, int yIdx, int incy);
215 public static native void zhemm(char side, char uplo, int m, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, ComplexDouble beta, double[] c, int cIdx, int ldc);
216 public static native void zhemv(char uplo, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx, ComplexDouble beta, double[] y, int yIdx, int incy);
217 public static native void zher2(char uplo, int n, ComplexDouble alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] a, int aIdx, int lda);
218 public static native void zher2k(char uplo, char trans, int n, int k, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, double beta, double[] c, int cIdx, int ldc);
219 public static native void zher(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] a, int aIdx, int lda);
220 public static native void zherk(char uplo, char trans, int n, int k, double alpha, double[] a, int aIdx, int lda, double beta, double[] c, int cIdx, int ldc);
221 public static native void zhpmv(char uplo, int n, ComplexDouble alpha, double[] ap, int apIdx, double[] x, int xIdx, int incx, ComplexDouble beta, double[] y, int yIdx, int incy);
222 public static native void zhpr2(char uplo, int n, ComplexDouble alpha, double[] x, int xIdx, int incx, double[] y, int yIdx, int incy, double[] ap, int apIdx);
223 public static native void zhpr(char uplo, int n, double alpha, double[] x, int xIdx, int incx, double[] ap, int apIdx);
224 public static native void zrotg(ComplexDouble ca, ComplexDouble cb, double c, ComplexDouble s);
225 public static native void zscal(int n, ComplexDouble za, double[] zx, int zxIdx, int incx);
226 public static native void zswap(int n, double[] zx, int zxIdx, int incx, double[] zy, int zyIdx, int incy);
227 public static native void zsymm(char side, char uplo, int m, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, ComplexDouble beta, double[] c, int cIdx, int ldc);
228 public static native void zsyr2k(char uplo, char trans, int n, int k, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb, ComplexDouble beta, double[] c, int cIdx, int ldc);
229 public static native void zsyrk(char uplo, char trans, int n, int k, ComplexDouble alpha, double[] a, int aIdx, int lda, ComplexDouble beta, double[] c, int cIdx, int ldc);
230 public static native void ztbmv(char uplo, char trans, char diag, int n, int k, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
231 public static native void ztbsv(char uplo, char trans, char diag, int n, int k, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
232 public static native void ztpmv(char uplo, char trans, char diag, int n, double[] ap, int apIdx, double[] x, int xIdx, int incx);
233 public static native void ztpsv(char uplo, char trans, char diag, int n, double[] ap, int apIdx, double[] x, int xIdx, int incx);
234 public static native void ztrmm(char side, char uplo, char transa, char diag, int m, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb);
235 public static native void ztrmv(char uplo, char trans, char diag, int n, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
236 public static native void ztrsm(char side, char uplo, char transa, char diag, int m, int n, ComplexDouble alpha, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb);
237 public static native void ztrsv(char uplo, char trans, char diag, int n, double[] a, int aIdx, int lda, double[] x, int xIdx, int incx);
238 public static native int dgesv(int n, int nrhs, double[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, double[] b, int bIdx, int ldb);
239 public static native int sgesv(int n, int nrhs, float[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, float[] b, int bIdx, int ldb);
240 public static native int dsysv(char uplo, int n, int nrhs, double[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, double[] b, int bIdx, int ldb, double[] work, int workIdx, int lwork);
241 public static int dsysv(char uplo, int n, int nrhs, double[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, double[] b, int bIdx, int ldb) {
242 int info;
243 double[] work = new double[1];
244 int lwork;
245 info = dsysv(uplo, n, nrhs, doubleDummy, 0, lda, intDummy, 0, doubleDummy, 0, ldb, work, 0, -1);
246 if (info != 0)
247 return info;
248 lwork = (int) work[0]; work = new double[lwork];
249 info = dsysv(uplo, n, nrhs, a, aIdx, lda, ipiv, ipivIdx, b, bIdx, ldb, work, 0, lwork);
250 return info;
251 }
252
253 public static native int ssysv(char uplo, int n, int nrhs, float[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, float[] b, int bIdx, int ldb, float[] work, int workIdx, int lwork);
254 public static int ssysv(char uplo, int n, int nrhs, float[] a, int aIdx, int lda, int[] ipiv, int ipivIdx, float[] b, int bIdx, int ldb) {
255 int info;
256 float[] work = new float[1];
257 int lwork;
258 info = ssysv(uplo, n, nrhs, floatDummy, 0, lda, intDummy, 0, floatDummy, 0, ldb, work, 0, -1);
259 if (info != 0)
260 return info;
261 lwork = (int) work[0]; work = new float[lwork];
262 info = ssysv(uplo, n, nrhs, a, aIdx, lda, ipiv, ipivIdx, b, bIdx, ldb, work, 0, lwork);
263 return info;
264 }
265
266 public static native int dsyev(char jobz, char uplo, int n, double[] a, int aIdx, int lda, double[] w, int wIdx, double[] work, int workIdx, int lwork);
267 public static int dsyev(char jobz, char uplo, int n, double[] a, int aIdx, int lda, double[] w, int wIdx) {
268 int info;
269 double[] work = new double[1];
270 int lwork;
271 info = dsyev(jobz, uplo, n, doubleDummy, 0, lda, doubleDummy, 0, work, 0, -1);
272 if (info != 0)
273 return info;
274 lwork = (int) work[0]; work = new double[lwork];
275 info = dsyev(jobz, uplo, n, a, aIdx, lda, w, wIdx, work, 0, lwork);
276 return info;
277 }
278
279 public static native int ssyev(char jobz, char uplo, int n, float[] a, int aIdx, int lda, float[] w, int wIdx, float[] work, int workIdx, int lwork);
280 public static int ssyev(char jobz, char uplo, int n, float[] a, int aIdx, int lda, float[] w, int wIdx) {
281 int info;
282 float[] work = new float[1];
283 int lwork;
284 info = ssyev(jobz, uplo, n, floatDummy, 0, lda, floatDummy, 0, work, 0, -1);
285 if (info != 0)
286 return info;
287 lwork = (int) work[0]; work = new float[lwork];
288 info = ssyev(jobz, uplo, n, a, aIdx, lda, w, wIdx, work, 0, lwork);
289 return info;
290 }
291
292 public static native int dsyevd(char jobz, char uplo, int n, double[] a, int aIdx, int lda, double[] w, int wIdx, double[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int liwork);
293 public static int dsyevd(char jobz, char uplo, int n, double[] a, int aIdx, int lda, double[] w, int wIdx) {
294 int info;
295 double[] work = new double[1];
296 int lwork;
297 int[] iwork = new int[1];
298 int liwork;
299 info = dsyevd(jobz, uplo, n, doubleDummy, 0, lda, doubleDummy, 0, work, 0, -1, iwork, 0, -1);
300 if (info != 0)
301 return info;
302 lwork = (int) work[0]; work = new double[lwork];
303 liwork = (int) iwork[0]; iwork = new int[liwork];
304 info = dsyevd(jobz, uplo, n, a, aIdx, lda, w, wIdx, work, 0, lwork, iwork, 0, liwork);
305 return info;
306 }
307
308 public static native int dsyevr(char jobz, char range, char uplo, int n, double[] a, int aIdx, int lda, double vl, double vu, int il, int iu, double abstol, int[] m, int mIdx, double[] w, int wIdx, double[] z, int zIdx, int ldz, int[] isuppz, int isuppzIdx, double[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int liwork);
309 public static int dsyevr(char jobz, char range, char uplo, int n, double[] a, int aIdx, int lda, double vl, double vu, int il, int iu, double abstol, int[] m, int mIdx, double[] w, int wIdx, double[] z, int zIdx, int ldz, int[] isuppz, int isuppzIdx) {
310 int info;
311 double[] work = new double[1];
312 int lwork;
313 int[] iwork = new int[1];
314 int liwork;
315 info = dsyevr(jobz, range, uplo, n, doubleDummy, 0, lda, vl, vu, il, iu, abstol, intDummy, 0, doubleDummy, 0, doubleDummy, 0, ldz, intDummy, 0, work, 0, -1, iwork, 0, -1);
316 if (info != 0)
317 return info;
318 lwork = (int) work[0]; work = new double[lwork];
319 liwork = (int) iwork[0]; iwork = new int[liwork];
320 info = dsyevr(jobz, range, uplo, n, a, aIdx, lda, vl, vu, il, iu, abstol, m, mIdx, w, wIdx, z, zIdx, ldz, isuppz, isuppzIdx, work, 0, lwork, iwork, 0, liwork);
321 return info;
322 }
323
324 public static native int dsyevx(char jobz, char range, char uplo, int n, double[] a, int aIdx, int lda, double vl, double vu, int il, int iu, double abstol, int[] m, int mIdx, double[] w, int wIdx, double[] z, int zIdx, int ldz, double[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int[] ifail, int ifailIdx);
325 public static int dsyevx(char jobz, char range, char uplo, int n, double[] a, int aIdx, int lda, double vl, double vu, int il, int iu, double abstol, int[] m, int mIdx, double[] w, int wIdx, double[] z, int zIdx, int ldz, int[] iwork, int iworkIdx, int[] ifail, int ifailIdx) {
326 int info;
327 double[] work = new double[1];
328 int lwork;
329 info = dsyevx(jobz, range, uplo, n, doubleDummy, 0, lda, vl, vu, il, iu, abstol, intDummy, 0, doubleDummy, 0, doubleDummy, 0, ldz, work, 0, -1, intDummy, 0, intDummy, 0);
330 if (info != 0)
331 return info;
332 lwork = (int) work[0]; work = new double[lwork];
333 info = dsyevx(jobz, range, uplo, n, a, aIdx, lda, vl, vu, il, iu, abstol, m, mIdx, w, wIdx, z, zIdx, ldz, work, 0, lwork, iwork, iworkIdx, ifail, ifailIdx);
334 return info;
335 }
336
337 public static native int ssyevd(char jobz, char uplo, int n, float[] a, int aIdx, int lda, float[] w, int wIdx, float[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int liwork);
338 public static int ssyevd(char jobz, char uplo, int n, float[] a, int aIdx, int lda, float[] w, int wIdx) {
339 int info;
340 float[] work = new float[1];
341 int lwork;
342 int[] iwork = new int[1];
343 int liwork;
344 info = ssyevd(jobz, uplo, n, floatDummy, 0, lda, floatDummy, 0, work, 0, -1, iwork, 0, -1);
345 if (info != 0)
346 return info;
347 lwork = (int) work[0]; work = new float[lwork];
348 liwork = (int) iwork[0]; iwork = new int[liwork];
349 info = ssyevd(jobz, uplo, n, a, aIdx, lda, w, wIdx, work, 0, lwork, iwork, 0, liwork);
350 return info;
351 }
352
353 public static native int ssyevr(char jobz, char range, char uplo, int n, float[] a, int aIdx, int lda, float vl, float vu, int il, int iu, float abstol, int[] m, int mIdx, float[] w, int wIdx, float[] z, int zIdx, int ldz, int[] isuppz, int isuppzIdx, float[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int liwork);
354 public static int ssyevr(char jobz, char range, char uplo, int n, float[] a, int aIdx, int lda, float vl, float vu, int il, int iu, float abstol, int[] m, int mIdx, float[] w, int wIdx, float[] z, int zIdx, int ldz, int[] isuppz, int isuppzIdx) {
355 int info;
356 float[] work = new float[1];
357 int lwork;
358 int[] iwork = new int[1];
359 int liwork;
360 info = ssyevr(jobz, range, uplo, n, floatDummy, 0, lda, vl, vu, il, iu, abstol, intDummy, 0, floatDummy, 0, floatDummy, 0, ldz, intDummy, 0, work, 0, -1, iwork, 0, -1);
361 if (info != 0)
362 return info;
363 lwork = (int) work[0]; work = new float[lwork];
364 liwork = (int) iwork[0]; iwork = new int[liwork];
365 info = ssyevr(jobz, range, uplo, n, a, aIdx, lda, vl, vu, il, iu, abstol, m, mIdx, w, wIdx, z, zIdx, ldz, isuppz, isuppzIdx, work, 0, lwork, iwork, 0, liwork);
366 return info;
367 }
368
369 public static native int ssyevx(char jobz, char range, char uplo, int n, float[] a, int aIdx, int lda, float vl, float vu, int il, int iu, float abstol, int[] m, int mIdx, float[] w, int wIdx, float[] z, int zIdx, int ldz, float[] work, int workIdx, int lwork, int[] iwork, int iworkIdx, int[] ifail, int ifailIdx);
370 public static int ssyevx(char jobz, char range, char uplo, int n, float[] a, int aIdx, int lda, float vl, float vu, int il, int iu, float abstol, int[] m, int mIdx, float[] w, int wIdx, float[] z, int zIdx, int ldz, int[] iwork, int iworkIdx, int[] ifail, int ifailIdx) {
371 int info;
372 float[] work = new float[1];
373 int lwork;
374 info = ssyevx(jobz, range, uplo, n, floatDummy, 0, lda, vl, vu, il, iu, abstol, intDummy, 0, floatDummy, 0, floatDummy, 0, ldz, work, 0, -1, intDummy, 0, intDummy, 0);
375 if (info != 0)
376 return info;
377 lwork = (int) work[0]; work = new float[lwork];
378 info = ssyevx(jobz, range, uplo, n, a, aIdx, lda, vl, vu, il, iu, abstol, m, mIdx, w, wIdx, z, zIdx, ldz, work, 0, lwork, iwork, iworkIdx, ifail, ifailIdx);
379 return info;
380 }
381
382 public static native int dposv(char uplo, int n, int nrhs, double[] a, int aIdx, int lda, double[] b, int bIdx, int ldb);
383 public static native int sposv(char uplo, int n, int nrhs, float[] a, int aIdx, int lda, float[] b, int bIdx, int ldb);
384 public static native int cgeev(char jobvl, char jobvr, int n, float[] a, int aIdx, int lda, float[] w, int wIdx, float[] vl, int vlIdx, int ldvl, float[] vr, int vrIdx, int ldvr, float[] work, int workIdx, int lwork, float[] rwork, int rworkIdx);
385 public static int cgeev(char jobvl, char jobvr, int n, float[] a, int aIdx, int lda, float[] w, int wIdx, float[] vl, int vlIdx, int ldvl, float[] vr, int vrIdx, int ldvr, float[] rwork, int rworkIdx) {
386 int info;
387 float[] work = new float[1];
388 int lwork;
389 info = cgeev(jobvl, jobvr, n, floatDummy, 0, lda, floatDummy, 0, floatDummy, 0, ldvl, floatDummy, 0, ldvr, work, 0, -1, floatDummy, 0);
390 if (info != 0)
391 return info;
392 lwork = (int) work[0]; work = new float[lwork];
393 info = cgeev(jobvl, jobvr, n, a, aIdx, lda, w, wIdx, vl, vlIdx, ldvl, vr, vrIdx, ldvr, work, 0, lwork, rwork, rworkIdx);
394 return info;
395 }
396
397 public static native int dgeev(char jobvl, char jobvr, int n, double[] a, int aIdx, int lda, double[] wr, int wrIdx, double[] wi, int wiIdx, double[] vl, int vlIdx, int ldvl, double[] vr, int vrIdx, int ldvr, double[] work, int workIdx, int lwork);
398 public static int dgeev(char jobvl, char jobvr, int n, double[] a, int aIdx, int lda, double[] wr, int wrIdx, double[] wi, int wiIdx, double[] vl, int vlIdx, int ldvl, double[] vr, int vrIdx, int ldvr) {
399 int info;
400 double[] work = new double[1];
401 int lwork;
402 info = dgeev(jobvl, jobvr, n, doubleDummy, 0, lda, doubleDummy, 0, doubleDummy, 0, doubleDummy, 0, ldvl, doubleDummy, 0, ldvr, work, 0, -1);
403 if (info != 0)
404 return info;
405 lwork = (int) work[0]; work = new double[lwork];
406 info = dgeev(jobvl, jobvr, n, a, aIdx, lda, wr, wrIdx, wi, wiIdx, vl, vlIdx, ldvl, vr, vrIdx, ldvr, work, 0, lwork);
407 return info;
408 }
409
410 public static native int sgeev(char jobvl, char jobvr, int n, float[] a, int aIdx, int lda, float[] wr, int wrIdx, float[] wi, int wiIdx, float[] vl, int vlIdx, int ldvl, float[] vr, int vrIdx, int ldvr, float[] work, int workIdx, int lwork);
411 public static int sgeev(char jobvl, char jobvr, int n, float[] a, int aIdx, int lda, float[] wr, int wrIdx, float[] wi, int wiIdx, float[] vl, int vlIdx, int ldvl, float[] vr, int vrIdx, int ldvr) {
412 int info;
413 float[] work = new float[1];
414 int lwork;
415 info = sgeev(jobvl, jobvr, n, floatDummy, 0, lda, floatDummy, 0, floatDummy, 0, floatDummy, 0, ldvl, floatDummy, 0, ldvr, work, 0, -1);
416 if (info != 0)
417 return info;
418 lwork = (int) work[0]; work = new float[lwork];
419 info = sgeev(jobvl, jobvr, n, a, aIdx, lda, wr, wrIdx, wi, wiIdx, vl, vlIdx, ldvl, vr, vrIdx, ldvr, work, 0, lwork);
420 return info;
421 }
422
423 public static native int zgeev(char jobvl, char jobvr, int n, double[] a, int aIdx, int lda, double[] w, int wIdx, double[] vl, int vlIdx, int ldvl, double[] vr, int vrIdx, int ldvr, double[] work, int workIdx, int lwork, double[] rwork, int rworkIdx);
424 public static int zgeev(char jobvl, char jobvr, int n, double[] a, int aIdx, int lda, double[] w, int wIdx, double[] vl, int vlIdx, int ldvl, double[] vr, int vrIdx, int ldvr, double[] rwork, int rworkIdx) {
425 int info;
426 double[] work = new double[1];
427 int lwork;
428 info = zgeev(jobvl, jobvr, n, doubleDummy, 0, lda, doubleDummy, 0, doubleDummy, 0, ldvl, doubleDummy, 0, ldvr, work, 0, -1, doubleDummy, 0);
429 if (info != 0)
430 return info;
431 lwork = (int) work[0]; work = new double[lwork];
432 info = zgeev(jobvl, jobvr, n, a, aIdx, lda, w, wIdx, vl, vlIdx, ldvl, vr, vrIdx, ldvr, work, 0, lwork, rwork, rworkIdx);
433 return info;
434 }
435
436 public static native int dgetrf(int m, int n, double[] a, int aIdx, int lda, int[] ipiv, int ipivIdx);
437 public static native int sgetrf(int m, int n, float[] a, int aIdx, int lda, int[] ipiv, int ipivIdx);
438 public static native int dpotrf(char uplo, int n, double[] a, int aIdx, int lda);
439 public static native int spotrf(char uplo, int n, float[] a, int aIdx, int lda);
440
441 }