/************************************************************************************************** * * * This file is part of BLASFEO. * * * * BLASFEO -- BLAS For Embedded Optimization. * * Copyright (C) 2019 by Gianluca Frison. * * Developed at IMTEK (University of Freiburg) under the supervision of Moritz Diehl. * * All rights reserved. * * * * The 2-Clause BSD License * * * * Redistribution and use in source and binary forms, with or without * * modification, are permitted provided that the following conditions are met: * * * * 1. Redistributions of source code must retain the above copyright notice, this * * list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright notice, * * this list of conditions and the following disclaimer in the documentation * * and/or other materials provided with the distribution. * * * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND * * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED * * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR * * ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES * * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND * * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. * * * * Author: Gianluca Frison, gianluca.frison (at) imtek.uni-freiburg.de * * * **************************************************************************************************/ #ifndef BLASFEO_D_BLASFEO_API_H_ #define BLASFEO_D_BLASFEO_API_H_ #include "blasfeo_common.h" #ifdef __cplusplus extern "C" { #endif // // level 1 BLAS // // z = y + alpha*x // z[zi:zi+n] = alpha*x[xi:xi+n] + y[yi:yi+n] // NB: Different arguments semantic compare to equivalent standard BLAS routine void blasfeo_daxpy(int kmax, double alpha, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z = beta*y + alpha*x void blasfeo_daxpby(int kmax, double alpha, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z = x .* y void blasfeo_dvecmul(int m, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z += x .* y void blasfeo_dvecmulacc(int m, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z = x .* y, return sum(z) = x^T * y double blasfeo_dvecmuldot(int m, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // return x^T * y double blasfeo_ddot(int m, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sy, int yi); // construct givens plane rotation void blasfeo_drotg(double a, double b, double *c, double *s); // apply plane rotation [a b] [c -s; s; c] to the aj0 and aj1 columns of A at row index ai void blasfeo_dcolrot(int m, struct blasfeo_dmat *sA, int ai, int aj0, int aj1, double c, double s); // apply plane rotation [c s; -s c] [a; b] to the ai0 and ai1 rows of A at column index aj void blasfeo_drowrot(int m, struct blasfeo_dmat *sA, int ai0, int ai1, int aj, double c, double s); // // level 2 BLAS // // dense // z <= beta * y + alpha * A * x void blasfeo_dgemv_n(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z <= beta * y + alpha * A^T * x void blasfeo_dgemv_t(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // z <= inv( A ) * x, A (m)x(n) void blasfeo_dtrsv_lnn_mn(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A^T ) * x, A (m)x(n) void blasfeo_dtrsv_ltn_mn(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A ) * x, A (m)x(m) lower, not_transposed, not_unit void blasfeo_dtrsv_lnn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A ) * x, A (m)x(m) lower, not_transposed, unit void blasfeo_dtrsv_lnu(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A^T ) * x, A (m)x(m) lower, transposed, not_unit void blasfeo_dtrsv_ltn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A^T ) * x, A (m)x(m) lower, transposed, unit void blasfeo_dtrsv_ltu(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A^T ) * x, A (m)x(m) upper, not_transposed, not_unit void blasfeo_dtrsv_unn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= inv( A^T ) * x, A (m)x(m) upper, transposed, not_unit void blasfeo_dtrsv_utn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= beta * y + alpha * A * x ; A upper triangular void blasfeo_dtrmv_unn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= A^T * x ; A upper triangular void blasfeo_dtrmv_utn(int m, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= A * x ; A lower triangular void blasfeo_dtrmv_lnn(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= A^T * x ; A lower triangular void blasfeo_dtrmv_ltn(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= A * x ; A lower triangular, unit diagonal void blasfeo_dtrmv_lnu(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z <= A^T * x ; A lower triangular, unit diagonal void blasfeo_dtrmv_ltu(int m, int n, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, struct blasfeo_dvec *sz, int zi); // z_n <= beta_n * y_n + alpha_n * A * x_n // z_t <= beta_t * y_t + alpha_t * A^T * x_t void blasfeo_dgemv_nt(int m, int n, double alpha_n, double alpha_t, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx_n, int xi_n, struct blasfeo_dvec *sx_t, int xi_t, double beta_n, double beta_t, struct blasfeo_dvec *sy_n, int yi_n, struct blasfeo_dvec *sy_t, int yi_t, struct blasfeo_dvec *sz_n, int zi_n, struct blasfeo_dvec *sz_t, int zi_t); // z <= beta * y + alpha * A * x, where A is symmetric and only the lower triangular patr of A is accessed void blasfeo_dsymv_l(int m, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); void blasfeo_dsymv_l_mn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // diagonal // z <= beta * y + alpha * A * x, A diagonal void blasfeo_dgemv_d(int m, double alpha, struct blasfeo_dvec *sA, int ai, struct blasfeo_dvec *sx, int xi, double beta, struct blasfeo_dvec *sy, int yi, struct blasfeo_dvec *sz, int zi); // // level 3 BLAS // // dense // D <= beta * C + alpha * A * B void blasfeo_dgemm_nn(int m, int n, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= beta * C + alpha * A * B^T void blasfeo_dgemm_nt(int m, int n, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= beta * C + alpha * A^T * B void blasfeo_dgemm_tn(int m, int n, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= beta * C + alpha * A^T * B^T void blasfeo_dgemm_tt(int m, int n, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= beta * C + alpha * A * B^T ; C, D lower triangular void blasfeo_dsyrk_ln(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); void blasfeo_dsyrk_ln_mn(int m, int n, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #if ( defined(LA_HIGH_PERFORMANCE) & defined(MF_COLMAJ) ) void blasfeo_dsyrk3_ln(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #endif // D <= beta * C + alpha * A^T * B ; C, D lower triangular void blasfeo_dsyrk_lt(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #if ( defined(LA_HIGH_PERFORMANCE) & defined(MF_COLMAJ) ) void blasfeo_dsyrk3_lt(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #endif // D <= beta * C + alpha * A * B^T ; C, D upper triangular void blasfeo_dsyrk_un(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #if ( defined(LA_HIGH_PERFORMANCE) & defined(MF_COLMAJ) ) void blasfeo_dsyrk3_un(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #endif // D <= beta * C + alpha * A^T * B ; C, D upper triangular void blasfeo_dsyrk_ut(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #if ( defined(LA_HIGH_PERFORMANCE) & defined(MF_COLMAJ) ) void blasfeo_dsyrk3_ut(int m, int k, double alpha, struct blasfeo_dmat *sA, int ai, int aj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); #endif // D <= alpha * A * B ; A lower triangular void blasfeo_dtrmm_llnn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A * B ; A lower triangular void blasfeo_dtrmm_llnu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^T * B ; A lower triangular void blasfeo_dtrmm_lltn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^T * B ; A lower triangular void blasfeo_dtrmm_lltu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A * B ; A upper triangular void blasfeo_dtrmm_lunn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A * B ; A upper triangular void blasfeo_dtrmm_lunu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^T * B ; A upper triangular void blasfeo_dtrmm_lutn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^T * B ; A upper triangular void blasfeo_dtrmm_lutu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A ; A lower triangular void blasfeo_dtrmm_rlnn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A ; A lower triangular void blasfeo_dtrmm_rlnu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^T ; A lower triangular void blasfeo_dtrmm_rltn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^T ; A lower triangular void blasfeo_dtrmm_rltu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A ; A upper triangular void blasfeo_dtrmm_runn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A ; A upper triangular void blasfeo_dtrmm_runu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^T ; A upper triangular void blasfeo_dtrmm_rutn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^T ; A upper triangular void blasfeo_dtrmm_rutu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-1} * B , with A lower triangular employint explicit inverse of diagonal // D <= alpha * A^{-1} * B , with A lower triangular employing explicit inverse of diagonal void blasfeo_dtrsm_llnn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-1} * B , with A lower triangular with unit diagonal void blasfeo_dtrsm_llnu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-T} * B , with A lower triangular employing explicit inverse of diagonal void blasfeo_dtrsm_lltn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-T} * B , with A lower triangular with unit diagonal void blasfeo_dtrsm_lltu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-1} * B , with A upper triangular employing explicit inverse of diagonal void blasfeo_dtrsm_lunn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-1} * B , with A upper triangular with unit diagonal void blasfeo_dtrsm_lunu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-T} * B , with A upper triangular employing explicit inverse of diagonal void blasfeo_dtrsm_lutn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A^{-T} * B , with A upper triangular with unit diagonal void blasfeo_dtrsm_lutu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-1} , with A lower triangular employing explicit inverse of diagonal void blasfeo_dtrsm_rlnn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-1} , with A lower triangular with unit diagonal void blasfeo_dtrsm_rlnu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-T} , with A lower triangular employing explicit inverse of diagonal void blasfeo_dtrsm_rltn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-T} , with A lower triangular with unit diagonal void blasfeo_dtrsm_rltu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-1} , with A upper triangular employing explicit inverse of diagonal void blasfeo_dtrsm_runn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-1} , with A upper triangular with unit diagonal void blasfeo_dtrsm_runu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-T} , with A upper triangular employing explicit inverse of diagonal void blasfeo_dtrsm_rutn(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * B * A^{-T} , with A upper triangular with unit diagonal void blasfeo_dtrsm_rutu(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sD, int di, int dj); // diagonal // D <= alpha * A * B + beta * C, with A diagonal (stored as strvec) void dgemm_diag_left_lib(int m, int n, double alpha, double *dA, double *pB, int sdb, double beta, double *pC, int sdc, double *pD, int sdd); void blasfeo_dgemm_dn(int m, int n, double alpha, struct blasfeo_dvec *sA, int ai, struct blasfeo_dmat *sB, int bi, int bj, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= alpha * A * B + beta * C, with B diagonal (stored as strvec) void blasfeo_dgemm_nd(int m, int n, double alpha, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dvec *sB, int bi, double beta, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // // LAPACK // // D <= chol( C ) ; C, D lower triangular void blasfeo_dpotrf_l(int m, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); void blasfeo_dpotrf_l_mn(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= chol( C ) ; C, D upper triangular void blasfeo_dpotrf_u(int m, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= chol( C + A * B' ) ; C, D lower triangular // D <= chol( C + A * B^T ) ; C, D lower triangular void blasfeo_dsyrk_dpotrf_ln(int m, int k, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); void blasfeo_dsyrk_dpotrf_ln_mn(int m, int n, int k, struct blasfeo_dmat *sA, int ai, int aj, struct blasfeo_dmat *sB, int bi, int bj, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= lu( C ) ; no pivoting void blasfeo_dgetrf_np(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj); // D <= lu( C ) ; row pivoting void blasfeo_dgetrf_rp(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj, int *ipiv); // D <= qr( C ) int blasfeo_dgeqrf_worksize(int m, int n); // in bytes void blasfeo_dgeqrf(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj, void *work); // D <= Q factor, where C is the output of the LQ factorization int blasfeo_dorglq_worksize(int m, int n, int k); // in bytes void blasfeo_dorglq(int m, int n, int k, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj, void *work); // D <= lq( C ) void blasfeo_dgelqf(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj, void *work); int blasfeo_dgelqf_worksize(int m, int n); // in bytes // D <= lq( C ), positive diagonal elements void blasfeo_dgelqf_pd(int m, int n, struct blasfeo_dmat *sC, int ci, int cj, struct blasfeo_dmat *sD, int di, int dj, void *work); // [L, A] <= lq( [L, A] ), positive diagonal elements, array of matrices, with // L lower triangular, of size (m)x(m) // A full, of size (m)x(n1) void blasfeo_dgelqf_pd_la(int m, int n1, struct blasfeo_dmat *sL, int li, int lj, struct blasfeo_dmat *sA, int ai, int aj, void *work); // [L, L, A] <= lq( [L, L, A] ), positive diagonal elements, array of matrices, with: // L lower triangular, of size (m)x(m) // A full, of size (m)x(n1) void blasfeo_dgelqf_pd_lla(int m, int n1, struct blasfeo_dmat *sL0, int l0i, int l0j, struct blasfeo_dmat *sL1, int l1i, int l1j, struct blasfeo_dmat *sA, int ai, int aj, void *work); // // BLAS API helper functions // #if ( defined(BLAS_API) & defined(MF_PANELMAJ) ) // BLAS 3 void blasfeo_cm_dgemm_nn(int m, int n, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dgemm_nt(int m, int n, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dgemm_tn(int m, int n, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dgemm_tt(int m, int n, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk_ln(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk_lt(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk_un(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk_ut(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk3_ln(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk3_lt(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk3_un(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dsyrk3_ut(int m, int k, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, double beta, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_llnn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_llnu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lltn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lltu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lunn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lunu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lutn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_lutu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rlnn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rlnu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rltn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rltu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_runn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_runu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rutn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrsm_rutu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_llnn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_llnu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lltn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lltu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lunn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lunu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lutn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_lutu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rlnn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rlnu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rltn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rltu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_runn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_runu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rutn(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dtrmm_rutu(int m, int n, double alpha, struct blasfeo_cm_dmat *sA, int ai, int aj, struct blasfeo_cm_dmat *sB, int bi, int bj, struct blasfeo_cm_dmat *sD, int di, int dj); // LAPACK void blasfeo_cm_dpotrf_l(int m, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dpotrf_u(int m, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj); void blasfeo_cm_dgetrf_rp(int m, int n, struct blasfeo_cm_dmat *sC, int ci, int cj, struct blasfeo_cm_dmat *sD, int di, int dj, int *ipiv); #endif #ifdef __cplusplus } #endif #endif // BLASFEO_D_BLASFEO_API_H_