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-rw-r--r--apps/interpreters/bas/bas_var.c717
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diff --git a/apps/interpreters/bas/bas_var.c b/apps/interpreters/bas/bas_var.c
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+/****************************************************************************
+ * apps/interpreters/bas/bas_var.c
+ *
+ * Copyright (c) 1999-2014 Michael Haardt
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a
+ * copy of this software and associated documentation files (the "Software"),
+ * to deal in the Software without restriction, including without limitation
+ * the rights to use, copy, modify, merge, publish, distribute, sublicense,
+ * and/or sell copies of the Software, and to permit persons to whom the
+ * Software is furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+ * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+ * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+ * DEALINGS IN THE SOFTWARE.
+ *
+ * Adapted to NuttX and re-released under a 3-clause BSD license:
+ *
+ * Copyright (C) 2014 Gregory Nutt. All rights reserved.
+ * Authors: Alan Carvalho de Assis <Alan Carvalho de Assis>
+ * Gregory Nutt <gnutt@nuttx.org>
+ *
+ * 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.
+ * 3. Neither the name NuttX nor the names of its contributors may be
+ * used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * 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.
+ *
+ ****************************************************************************/
+
+/****************************************************************************
+ * Included Files
+ ****************************************************************************/
+
+#include <nuttx/config.h>
+
+#include <assert.h>
+#include <math.h>
+#include <stdlib.h>
+
+#include "bas_error.h"
+#include "bas_var.h"
+
+/****************************************************************************
+ * Pre-processor Definitions
+ ****************************************************************************/
+
+#define _(String) String
+
+/****************************************************************************
+ * Public Functions
+ ****************************************************************************/
+
+struct Var *Var_new(struct Var *this, enum ValueType type, unsigned int dim,
+ const unsigned int *geometry, int base)
+{
+ unsigned int i;
+ size_t newsize;
+
+ this->type = type;
+ this->dim = dim;
+ this->base = base;
+ for (newsize = this->size = 1, dim = 0; dim < this->dim; ++dim)
+ {
+ if ((newsize *= geometry[dim]) < this->size)
+ return (struct Var *)0;
+ this->size = newsize;
+ }
+
+ if ((newsize *= sizeof(struct Value)) < this->size)
+ {
+ return (struct Var *)0;
+ }
+
+ if ((this->value = malloc(newsize)) == (struct Value *)0)
+ {
+ return (struct Var *)0;
+ }
+
+ if (dim)
+ {
+ this->geometry = malloc(sizeof(unsigned int) * dim);
+ for (i = 0; i < dim; ++i)
+ {
+ this->geometry[i] = geometry[i];
+ }
+ }
+ else
+ {
+ this->geometry = (unsigned int *)0;
+ }
+
+ for (i = 0; i < this->size; ++i)
+ {
+ Value_new_null(&(this->value[i]), type);
+ }
+
+ return this;
+}
+
+struct Var *Var_new_scalar(struct Var *this)
+{
+ this->dim = 0;
+ this->size = 1;
+ this->geometry = (unsigned int *)0;
+ this->value = malloc(sizeof(struct Value));
+ return this;
+}
+
+void Var_destroy(struct Var *this)
+{
+ while (this->size--)
+ {
+ Value_destroy(&(this->value[this->size]));
+ }
+
+ free(this->value);
+ this->value = (struct Value *)0;
+ this->size = 0;
+ this->dim = 0;
+ if (this->geometry)
+ {
+ free(this->geometry);
+ this->geometry = (unsigned int *)0;
+ }
+}
+
+void Var_retype(struct Var *this, enum ValueType type)
+{
+ unsigned int i;
+
+ for (i = 0; i < this->size; ++i)
+ {
+ Value_destroy(&(this->value[i]));
+ Value_new_null(&(this->value[i]), type);
+ }
+}
+
+struct Value *Var_value(struct Var *this, unsigned int dim, int idx[],
+ struct Value *value)
+{
+ unsigned int offset;
+ unsigned int i;
+
+ assert(this->value);
+ if (dim != this->dim)
+ {
+ return Value_new_ERROR(value, DIMENSION);
+ }
+
+ for (offset = 0, i = 0; i < dim; ++i)
+ {
+ if (idx[i] < this->base || (idx[i] - this->base) >= this->geometry[i])
+ {
+ return Value_new_ERROR(value, OUTOFRANGE, _("array index"));
+ }
+
+ offset = offset * this->geometry[i] + (idx[i] - this->base);
+ }
+
+ assert(offset < this->size);
+ return this->value + offset;
+}
+
+void Var_clear(struct Var *this)
+{
+ size_t i;
+
+ for (i = 0; i < this->size; ++i)
+ {
+ Value_destroy(&(this->value[i]));
+ }
+
+ if (this->geometry)
+ {
+ free(this->geometry);
+ this->geometry = (unsigned int *)0;
+ this->size = 1;
+ this->dim = 0;
+ }
+
+ Value_new_null(&(this->value[0]), this->type);
+}
+
+struct Value *Var_mat_assign(struct Var *this, struct Var *x, struct Value *err,
+ int work)
+{
+ enum ValueType thisType = this->type;
+
+ if (work)
+ {
+ unsigned int i, j;
+ int unused = 1 - x->base;
+ int g0, g1;
+
+ assert(x->base == 0 || x->base == 1);
+ assert(x->dim == 1 || x->dim == 2);
+ if (this == x)
+ {
+ return (struct Value *)0;
+ }
+
+ Var_destroy(this);
+ Var_new(this, thisType, x->dim, x->geometry, x->base);
+ g0 = x->geometry[0];
+ g1 = x->dim == 1 ? unused + 1 : x->geometry[1];
+ for (i = unused; i < g0; ++i)
+ {
+ for (j = unused; j < g1; ++j)
+ {
+ unsigned int element = x->dim == 1 ? i : i * g1 + j;
+
+ Value_destroy(&(this->value[element]));
+ Value_clone(&(this->value[element]), &(x->value[element]));
+ Value_retype(&(this->value[element]), thisType);
+ }
+ }
+ }
+ else
+ {
+ if (Value_commonType[this->type][x->type] == V_ERROR)
+ {
+ return Value_new_typeError(err, this->type, x->type);
+ }
+ }
+
+ return (struct Value *)0;
+}
+
+struct Value *Var_mat_addsub(struct Var *this, struct Var *x, struct Var *y,
+ int add, struct Value *err, int work)
+{
+ enum ValueType thisType = this->type;
+ struct Value foo, bar;
+
+ if (work)
+ {
+ unsigned int i, j;
+ int unused = 1 - x->base;
+ int g0, g1;
+
+ assert(x->base == 0 || x->base == 1);
+ assert(x->dim == 1 || x->dim == 2);
+ if (x->base != y->base || x->dim != y->dim ||
+ x->geometry[0] != y->geometry[0] ||
+ (x->dim == 2 && x->geometry[1] != y->geometry[1]))
+ {
+ return Value_new_ERROR(err, DIMENSION);
+ }
+
+ if (this != x && this != y)
+ {
+ Var_destroy(this);
+ Var_new(this, thisType, x->dim, x->geometry, x->base);
+ }
+
+ g0 = x->geometry[0];
+ g1 = x->dim == 1 ? unused + 1 : x->geometry[1];
+ for (i = unused; i < g0; ++i)
+ {
+ for (j = unused; j < g1; ++j)
+ {
+ unsigned int element = x->dim == 1 ? i : i * g1 + j;
+
+ Value_clone(&foo, &(x->value[element]));
+ Value_clone(&bar, &(y->value[element]));
+ if (add)
+ {
+ Value_add(&foo, &bar, 1);
+ }
+ else
+ {
+ Value_sub(&foo, &bar, 1);
+ }
+
+ if (foo.type == V_ERROR)
+ {
+ *err = foo;
+ Value_destroy(&bar);
+ return err;
+ }
+
+ Value_destroy(&bar);
+ Value_destroy(&(this->value[element]));
+ this->value[element] = *Value_retype(&foo, thisType);
+ }
+ }
+ }
+ else
+ {
+ Value_clone(err, x->value);
+ if (add)
+ {
+ Value_add(err, y->value, 0);
+ }
+ else
+ {
+ Value_sub(err, y->value, 0);
+ }
+
+ if (err->type == V_ERROR)
+ {
+ return err;
+ }
+
+ Value_destroy(err);
+ }
+
+ return (struct Value *)0;
+}
+
+struct Value *Var_mat_mult(struct Var *this, struct Var *x, struct Var *y,
+ struct Value *err, int work)
+{
+ enum ValueType thisType = this->type;
+ struct Var foo;
+
+ if (work)
+ {
+ unsigned int newdim[2];
+ unsigned int i, j, k;
+ int unused = 1 - x->base;
+
+ assert(x->base == 0 || x->base == 1);
+ if (x->dim != 2 || y->dim != 2 || x->base != y->base ||
+ x->geometry[1] != y->geometry[0])
+ {
+ return Value_new_ERROR(err, DIMENSION);
+ }
+
+ newdim[0] = x->geometry[0];
+ newdim[1] = y->geometry[1];
+ Var_new(&foo, thisType, 2, newdim, 0);
+ for (i = unused; i < newdim[0]; ++i)
+ {
+ for (j = unused; j < newdim[1]; ++j)
+ {
+ struct Value *dp = &foo.value[i * newdim[1] + j];
+
+ Value_new_null(dp, thisType);
+ for (k = unused; k < x->geometry[1]; ++k)
+ {
+ struct Value p;
+
+ Value_clone(&p, &(x->value[i * x->geometry[1] + k]));
+ Value_mult(&p, &(y->value[k * y->geometry[1] + j]), 1);
+ if (p.type == V_ERROR)
+ {
+ *err = p;
+ Var_destroy(&foo);
+ return err;
+ }
+
+ Value_add(dp, &p, 1);
+ Value_destroy(&p);
+ }
+
+ Value_retype(dp, thisType);
+ }
+ }
+
+ Var_destroy(this);
+ *this = foo;
+ }
+ else
+ {
+ Value_clone(err, x->value);
+ Value_mult(err, y->value, 0);
+ if (err->type == V_ERROR)
+ {
+ return err;
+ }
+
+ Value_destroy(err);
+ }
+
+ return (struct Value *)0;
+}
+
+struct Value *Var_mat_scalarMult(struct Var *this, struct Value *factor,
+ struct Var *x, int work)
+{
+ enum ValueType thisType = this->type;
+
+ if (work)
+ {
+ unsigned int i, j;
+ int unused = 1 - x->base;
+ int g0, g1;
+
+ assert(x->base == 0 || x->base == 1);
+ assert(x->dim == 1 || x->dim == 2);
+ if (this != x)
+ {
+ Var_destroy(this);
+ Var_new(this, thisType, x->dim, x->geometry, 0);
+ }
+
+ g0 = x->geometry[0];
+ g1 = x->dim == 1 ? unused + 1 : x->geometry[1];
+ for (i = unused; i < g0; ++i)
+ {
+ for (j = unused; j < g1; ++j)
+ {
+ unsigned int element = x->dim == 1 ? i : i * g1 + j;
+ struct Value foo;
+
+ Value_clone(&foo, &(x->value[element]));
+ Value_mult(&foo, factor, 1);
+ if (foo.type == V_ERROR)
+ {
+ Value_destroy(factor);
+ *factor = foo;
+ return factor;
+ }
+
+ Value_destroy(&(this->value[element]));
+ this->value[element] = *Value_retype(&foo, thisType);
+ }
+ }
+ }
+ else
+ {
+ if (Value_mult(factor, this->value, 0)->type == V_ERROR)
+ {
+ return factor;
+ }
+ }
+
+ return (struct Value *)0;
+}
+
+void Var_mat_transpose(struct Var *this, struct Var *x)
+{
+ unsigned int geometry[2];
+ enum ValueType thisType = this->type;
+ unsigned int i, j;
+ struct Var foo;
+
+ geometry[0] = x->geometry[1];
+ geometry[1] = x->geometry[0];
+ Var_new(&foo, thisType, 2, geometry, 0);
+ for (i = 0; i < x->geometry[0]; ++i)
+ {
+ for (j = 0; j < x->geometry[1]; ++j)
+ {
+ Value_destroy(&foo.value[j * x->geometry[0] + i]);
+ Value_clone(&foo.value[j * x->geometry[0] + i],
+ &(x->value[i * x->geometry[1] + j]));
+ Value_retype(&foo.value[j * x->geometry[0] + i], thisType);
+ }
+ }
+
+ Var_destroy(this);
+ *this = foo;
+}
+
+struct Value *Var_mat_invert(struct Var *this, struct Var *x, struct Value *det,
+ struct Value *err)
+{
+ enum ValueType thisType = this->type;
+ int n, i, j, k, max;
+ double t, *a, *u, d;
+ int unused = 1 - x->base;
+
+ if (x->type != V_INTEGER && x->type != V_REAL)
+ {
+ return Value_new_ERROR(err, TYPEMISMATCH5);
+ }
+
+ assert(x->base == 0 || x->base == 1);
+ if (x->geometry[0] != x->geometry[1])
+ {
+ return Value_new_ERROR(err, DIMENSION);
+ }
+
+ n = x->geometry[0] - unused;
+
+ a = malloc(sizeof(double) * n * n);
+ u = malloc(sizeof(double) * n * n);
+ for (i = 0; i < n; ++i)
+ {
+ for (j = 0; j < n; ++j)
+ {
+ if (x->type == V_INTEGER)
+ {
+ a[i * n + j] =
+ x->value[(i + unused) * (n + unused) + j + unused].u.integer;
+ }
+ else
+ {
+ a[i * n + j] =
+ x->value[(i + unused) * (n + unused) + j + unused].u.real;
+ }
+
+ u[i * n + j] = (i == j ? 1.0 : 0.0);
+ }
+ }
+
+ d = 1.0;
+
+ for (i = 0; i < n; ++i) /* get zeroes in column i below the main
+ * diagonal */
+ {
+ max = i;
+ for (j = i + 1; j < n; ++j)
+ {
+ if (fabs(a[j * n + i]) > fabs(a[max * n + i]))
+ {
+ max = j;
+ }
+ }
+
+ /* exchanging row i against row max */
+
+ if (i != max)
+ {
+ d = -d;
+ }
+
+ for (k = i; k < n; ++k)
+ {
+ t = a[i * n + k];
+ a[i * n + k] = a[max * n + k];
+ a[max * n + k] = t;
+ }
+
+ for (k = 0; k < n; ++k)
+ {
+ t = u[i * n + k];
+ u[i * n + k] = u[max * n + k];
+ u[max * n + k] = t;
+ }
+
+ if (a[i * n + i] == 0.0)
+ {
+ free(a);
+ free(u);
+ return Value_new_ERROR(err, SINGULAR);
+ }
+
+ for (j = i + 1; j < n; ++j)
+ {
+ t = a[j * n + i] / a[i * n + i];
+
+ /* Subtract row i*t from row j */
+
+ for (k = i; k < n; ++k)
+ {
+ a[j * n + k] -= a[i * n + k] * t;
+ }
+
+ for (k = 0; k < n; ++k)
+ {
+ u[j * n + k] -= u[i * n + k] * t;
+ }
+ }
+ }
+
+ for (i = 0; i < n; ++i)
+ {
+ d *= a[i * n + i]; /* compute determinant */
+ }
+
+ for (i = n - 1; i >= 0; --i) /* get zeroes in column i above the main diagonal */
+ {
+ for (j = 0; j < i; ++j)
+ {
+ t = a[j * n + i] / a[i * n + i];
+
+ /* Subtract row i*t from row j */
+
+ a[j * n + i] = 0.0; /* a[j*n+i]-=a[i*n+i]*t; */
+ for (k = 0; k < n; ++k)
+ {
+ u[j * n + k] -= u[i * n + k] * t;
+ }
+ }
+
+ t = a[i * n + i];
+ a[i * n + i] = 1.0; /* a[i*n+i]/=t; */
+ for (k = 0; k < n; ++k)
+ {
+ u[i * n + k] /= t;
+ }
+ }
+
+ free(a);
+ if (this != x)
+ {
+ Var_destroy(this);
+ Var_new(this, thisType, 2, x->geometry, x->base);
+ }
+
+ for (i = 0; i < n; ++i)
+ {
+ for (j = 0; j < n; ++j)
+ {
+ Value_destroy(&this->value[(i + unused) * (n + unused) + j + unused]);
+ if (thisType == V_INTEGER)
+ {
+ Value_new_INTEGER(&this->value
+ [(i + unused) * (n + unused) + j + unused],
+ u[i * n + j]);
+ }
+ else
+ {
+ Value_new_REAL(&this->
+ value[(i + unused) * (n + unused) + j + unused],
+ u[i * n + j]);
+ }
+ }
+ }
+
+ free(u);
+ Value_destroy(det);
+ if (thisType == V_INTEGER)
+ {
+ Value_new_INTEGER(det, d);
+ }
+ else
+ {
+ Value_new_REAL(det, d);
+ }
+
+ return (struct Value *)0;
+}
+
+struct Value *Var_mat_redim(struct Var *this, unsigned int dim,
+ const unsigned int *geometry, struct Value *err)
+{
+ unsigned int i, j, size;
+ struct Value *value;
+ int unused = 1 - this->base;
+ int g0, g1;
+
+ if (this->dim > 0 && this->dim != dim)
+ {
+ return Value_new_ERROR(err, DIMENSION);
+ }
+
+ for (size = 1, i = 0; i < dim; ++i)
+ {
+ size *= geometry[i];
+ }
+
+ value = malloc(sizeof(struct Value) * size);
+ g0 = geometry[0];
+ g1 = dim == 1 ? 1 : geometry[1];
+ for (i = 0; i < g0; ++i)
+ {
+ for (j = 0; j < g1; ++j)
+ {
+ if (this->dim == 0 || i < unused || (dim == 2 && j < unused) ||
+ i >= this->geometry[0] || (this->dim == 2 &&
+ j >= this->geometry[1]))
+ {
+ Value_new_null(&(value[i * g1 + j]), this->type);
+ }
+ else
+ {
+ Value_clone(&value[dim == 1 ? i : i * g1 + j],
+ &this->value[dim ==
+ 1 ? i : i * this->geometry[1] + j]);
+ }
+ }
+ }
+
+ for (i = 0; i < this->size; ++i)
+ {
+ Value_destroy(&this->value[i]);
+ }
+
+ free(this->value);
+ if (this->geometry == (unsigned int *)0)
+ {
+ this->geometry = malloc(sizeof(unsigned int) * dim);
+ }
+
+ for (i = 0; i < dim; ++i)
+ {
+ this->geometry[i] = geometry[i];
+ }
+
+ this->dim = dim;
+ this->size = size;
+ this->value = value;
+ return (struct Value *)0;
+}