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-rw-r--r--numpy/linalg/lapack_lite/f2c.c680
1 files changed, 680 insertions, 0 deletions
diff --git a/numpy/linalg/lapack_lite/f2c.c b/numpy/linalg/lapack_lite/f2c.c
new file mode 100644
index 000000000..89feb3885
--- /dev/null
+++ b/numpy/linalg/lapack_lite/f2c.c
@@ -0,0 +1,680 @@
+/*
+ Functions here are copied from the source code for libf2c.
+
+ Typically each function there is in its own file.
+
+ We don't link against libf2c directly, because we can't guarantee
+ it is available, and shipping a static library isn't portable.
+*/
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "f2c.h"
+
+
+extern void s_wsfe(cilist *f) {;}
+extern void e_wsfe(void) {;}
+extern void do_fio(integer *c, char *s, ftnlen l) {;}
+
+/* You'll want this if you redo the f2c_*.c files with the -C option
+ * to f2c for checking array subscripts. (It's not suggested you do that
+ * for production use, of course.) */
+extern int
+s_rnge(char *var, int index, char *routine, int lineno)
+{
+ fprintf(stderr, "array index out-of-bounds for %s[%d] in routine %s:%d\n",
+ var, index, routine, lineno);
+ fflush(stderr);
+ abort();
+}
+
+#ifdef KR_headers
+extern float sqrtf();
+double f__cabsf(real, imag) float real, imag;
+#else
+#undef abs
+
+double f__cabsf(float real, float imag)
+#endif
+{
+float temp;
+
+if(real < 0.0f)
+ real = -real;
+if(imag < 0.0f)
+ imag = -imag;
+if(imag > real){
+ temp = real;
+ real = imag;
+ imag = temp;
+}
+if((imag+real) == real)
+ return((float)real);
+
+temp = imag/real;
+temp = real*sqrtf(1.0 + temp*temp); /*overflow!!*/
+return(temp);
+}
+
+
+#ifdef KR_headers
+extern double sqrt();
+double f__cabs(real, imag) double real, imag;
+#else
+#undef abs
+
+double f__cabs(double real, double imag)
+#endif
+{
+double temp;
+
+if(real < 0)
+ real = -real;
+if(imag < 0)
+ imag = -imag;
+if(imag > real){
+ temp = real;
+ real = imag;
+ imag = temp;
+}
+if((imag+real) == real)
+ return((double)real);
+
+temp = imag/real;
+temp = real*sqrt(1.0 + temp*temp); /*overflow!!*/
+return(temp);
+}
+
+ VOID
+#ifdef KR_headers
+r_cnjg(r, z) complex *r, *z;
+#else
+r_cnjg(complex *r, complex *z)
+#endif
+{
+r->r = z->r;
+r->i = - z->i;
+}
+
+ VOID
+#ifdef KR_headers
+d_cnjg(r, z) doublecomplex *r, *z;
+#else
+d_cnjg(doublecomplex *r, doublecomplex *z)
+#endif
+{
+r->r = z->r;
+r->i = - z->i;
+}
+
+
+#ifdef KR_headers
+float r_imag(z) complex *z;
+#else
+float r_imag(complex *z)
+#endif
+{
+return(z->i);
+}
+
+#ifdef KR_headers
+double d_imag(z) doublecomplex *z;
+#else
+double d_imag(doublecomplex *z)
+#endif
+{
+return(z->i);
+}
+
+
+#define log10e 0.43429448190325182765
+
+#ifdef KR_headers
+float logf();
+float r_lg10(x) real *x;
+#else
+#undef abs
+
+float r_lg10(real *x)
+#endif
+{
+return( log10e * logf(*x) );
+}
+
+#ifdef KR_headers
+double log();
+double d_lg10(x) doublereal *x;
+#else
+#undef abs
+
+double d_lg10(doublereal *x)
+#endif
+{
+return( log10e * log(*x) );
+}
+
+#ifdef KR_headers
+double r_sign(a,b) real *a, *b;
+#else
+double r_sign(real *a, real *b)
+#endif
+{
+float x;
+x = (*a >= 0.0f ? *a : - *a);
+return( *b >= 0.0f ? x : -x);
+}
+
+#ifdef KR_headers
+double d_sign(a,b) doublereal *a, *b;
+#else
+double d_sign(doublereal *a, doublereal *b)
+#endif
+{
+double x;
+x = (*a >= 0 ? *a : - *a);
+return( *b >= 0 ? x : -x);
+}
+
+
+#ifdef KR_headers
+double floor();
+integer i_dnnt(x) doublereal *x;
+#else
+#undef abs
+
+integer i_dnnt(doublereal *x)
+#endif
+{
+return( (*x)>=0 ?
+ floor(*x + .5) : -floor(.5 - *x) );
+}
+
+
+#ifdef KR_headers
+double pow();
+double pow_dd(ap, bp) doublereal *ap, *bp;
+#else
+#undef abs
+
+double pow_dd(doublereal *ap, doublereal *bp)
+#endif
+{
+return(pow(*ap, *bp) );
+}
+
+
+#ifdef KR_headers
+double pow_ri(ap, bp) real *ap; integer *bp;
+#else
+double pow_ri(real *ap, integer *bp)
+#endif
+{
+float pow, x;
+integer n;
+unsigned long u;
+
+pow = 1;
+x = *ap;
+n = *bp;
+
+if(n != 0)
+ {
+ if(n < 0)
+ {
+ n = -n;
+ x = 1.0f/x;
+ }
+ for(u = n; ; )
+ {
+ if(u & 01)
+ pow *= x;
+ if(u >>= 1)
+ x *= x;
+ else
+ break;
+ }
+ }
+return(pow);
+}
+
+#ifdef KR_headers
+double pow_di(ap, bp) doublereal *ap; integer *bp;
+#else
+double pow_di(doublereal *ap, integer *bp)
+#endif
+{
+double pow, x;
+integer n;
+unsigned long u;
+
+pow = 1;
+x = *ap;
+n = *bp;
+
+if(n != 0)
+ {
+ if(n < 0)
+ {
+ n = -n;
+ x = 1/x;
+ }
+ for(u = n; ; )
+ {
+ if(u & 01)
+ pow *= x;
+ if(u >>= 1)
+ x *= x;
+ else
+ break;
+ }
+ }
+return(pow);
+}
+/* Unless compiled with -DNO_OVERWRITE, this variant of s_cat allows the
+ * target of a concatenation to appear on its right-hand side (contrary
+ * to the Fortran 77 Standard, but in accordance with Fortran 90).
+ */
+#define NO_OVERWRITE
+
+
+#ifndef NO_OVERWRITE
+
+#undef abs
+#ifdef KR_headers
+ extern char *F77_aloc();
+ extern void free();
+ extern void exit_();
+#else
+
+ extern char *F77_aloc(ftnlen, char*);
+#endif
+
+#endif /* NO_OVERWRITE */
+
+ VOID
+#ifdef KR_headers
+s_cat(lp, rpp, rnp, np, ll) char *lp, *rpp[]; ftnlen rnp[], *np, ll;
+#else
+s_cat(char *lp, char *rpp[], ftnlen rnp[], ftnlen *np, ftnlen ll)
+#endif
+{
+ ftnlen i, nc;
+ char *rp;
+ ftnlen n = *np;
+#ifndef NO_OVERWRITE
+ ftnlen L, m;
+ char *lp0, *lp1;
+
+ lp0 = 0;
+ lp1 = lp;
+ L = ll;
+ i = 0;
+ while(i < n) {
+ rp = rpp[i];
+ m = rnp[i++];
+ if (rp >= lp1 || rp + m <= lp) {
+ if ((L -= m) <= 0) {
+ n = i;
+ break;
+ }
+ lp1 += m;
+ continue;
+ }
+ lp0 = lp;
+ lp = lp1 = F77_aloc(L = ll, "s_cat");
+ break;
+ }
+ lp1 = lp;
+#endif /* NO_OVERWRITE */
+ for(i = 0 ; i < n ; ++i) {
+ nc = ll;
+ if(rnp[i] < nc)
+ nc = rnp[i];
+ ll -= nc;
+ rp = rpp[i];
+ while(--nc >= 0)
+ *lp++ = *rp++;
+ }
+ while(--ll >= 0)
+ *lp++ = ' ';
+#ifndef NO_OVERWRITE
+ if (lp0) {
+ memmove(lp0, lp1, L);
+ free(lp1);
+ }
+#endif
+ }
+
+
+/* compare two strings */
+
+#ifdef KR_headers
+integer s_cmp(a0, b0, la, lb) char *a0, *b0; ftnlen la, lb;
+#else
+integer s_cmp(char *a0, char *b0, ftnlen la, ftnlen lb)
+#endif
+{
+register unsigned char *a, *aend, *b, *bend;
+a = (unsigned char *)a0;
+b = (unsigned char *)b0;
+aend = a + la;
+bend = b + lb;
+
+if(la <= lb)
+ {
+ while(a < aend)
+ if(*a != *b)
+ return( *a - *b );
+ else
+ { ++a; ++b; }
+
+ while(b < bend)
+ if(*b != ' ')
+ return( ' ' - *b );
+ else ++b;
+ }
+
+else
+ {
+ while(b < bend)
+ if(*a == *b)
+ { ++a; ++b; }
+ else
+ return( *a - *b );
+ while(a < aend)
+ if(*a != ' ')
+ return(*a - ' ');
+ else ++a;
+ }
+return(0);
+}
+/* Unless compiled with -DNO_OVERWRITE, this variant of s_copy allows the
+ * target of an assignment to appear on its right-hand side (contrary
+ * to the Fortran 77 Standard, but in accordance with Fortran 90),
+ * as in a(2:5) = a(4:7) .
+ */
+
+
+
+/* assign strings: a = b */
+
+#ifdef KR_headers
+VOID s_copy(a, b, la, lb) register char *a, *b; ftnlen la, lb;
+#else
+void s_copy(register char *a, register char *b, ftnlen la, ftnlen lb)
+#endif
+{
+ register char *aend, *bend;
+
+ aend = a + la;
+
+ if(la <= lb)
+#ifndef NO_OVERWRITE
+ if (a <= b || a >= b + la)
+#endif
+ while(a < aend)
+ *a++ = *b++;
+#ifndef NO_OVERWRITE
+ else
+ for(b += la; a < aend; )
+ *--aend = *--b;
+#endif
+
+ else {
+ bend = b + lb;
+#ifndef NO_OVERWRITE
+ if (a <= b || a >= bend)
+#endif
+ while(b < bend)
+ *a++ = *b++;
+#ifndef NO_OVERWRITE
+ else {
+ a += lb;
+ while(b < bend)
+ *--a = *--bend;
+ a += lb;
+ }
+#endif
+ while(a < aend)
+ *a++ = ' ';
+ }
+ }
+
+
+#ifdef KR_headers
+double f__cabsf();
+double c_abs(z) complex *z;
+#else
+double f__cabsf(float, float);
+double c_abs(complex *z)
+#endif
+{
+return( f__cabsf( z->r, z->i ) );
+}
+
+#ifdef KR_headers
+double f__cabs();
+double z_abs(z) doublecomplex *z;
+#else
+double f__cabs(double, double);
+double z_abs(doublecomplex *z)
+#endif
+{
+return( f__cabs( z->r, z->i ) );
+}
+
+
+#ifdef KR_headers
+extern void sig_die();
+VOID c_div(c, a, b) complex *a, *b, *c;
+#else
+extern void sig_die(char*, int);
+void c_div(complex *c, complex *a, complex *b)
+#endif
+{
+float ratio, den;
+float abr, abi;
+
+if( (abr = b->r) < 0.f)
+ abr = - abr;
+if( (abi = b->i) < 0.f)
+ abi = - abi;
+if( abr <= abi )
+ {
+ /*Let IEEE Infinties handle this ;( */
+ /*if(abi == 0)
+ sig_die("complex division by zero", 1);*/
+ ratio = b->r / b->i ;
+ den = b->i * (1 + ratio*ratio);
+ c->r = (a->r*ratio + a->i) / den;
+ c->i = (a->i*ratio - a->r) / den;
+ }
+
+else
+ {
+ ratio = b->i / b->r ;
+ den = b->r * (1.f + ratio*ratio);
+ c->r = (a->r + a->i*ratio) / den;
+ c->i = (a->i - a->r*ratio) / den;
+ }
+
+}
+
+#ifdef KR_headers
+extern void sig_die();
+VOID z_div(c, a, b) doublecomplex *a, *b, *c;
+#else
+extern void sig_die(char*, int);
+void z_div(doublecomplex *c, doublecomplex *a, doublecomplex *b)
+#endif
+{
+double ratio, den;
+double abr, abi;
+
+if( (abr = b->r) < 0.)
+ abr = - abr;
+if( (abi = b->i) < 0.)
+ abi = - abi;
+if( abr <= abi )
+ {
+ /*Let IEEE Infinties handle this ;( */
+ /*if(abi == 0)
+ sig_die("complex division by zero", 1);*/
+ ratio = b->r / b->i ;
+ den = b->i * (1 + ratio*ratio);
+ c->r = (a->r*ratio + a->i) / den;
+ c->i = (a->i*ratio - a->r) / den;
+ }
+
+else
+ {
+ ratio = b->i / b->r ;
+ den = b->r * (1 + ratio*ratio);
+ c->r = (a->r + a->i*ratio) / den;
+ c->i = (a->i - a->r*ratio) / den;
+ }
+
+}
+
+
+#ifdef KR_headers
+float sqrtf(), f__cabsf();
+VOID c_sqrt(r, z) complex *r, *z;
+#else
+#undef abs
+
+extern double f__cabsf(float, float);
+void c_sqrt(complex *r, complex *z)
+#endif
+{
+float mag;
+
+if( (mag = f__cabsf(z->r, z->i)) == 0.f)
+ r->r = r->i = 0.f;
+else if(z->r > 0.0f)
+ {
+ r->r = sqrtf(0.5f * (mag + z->r) );
+ r->i = z->i / r->r / 2.0f;
+ }
+else
+ {
+ r->i = sqrtf(0.5f * (mag - z->r) );
+ if(z->i < 0.0f)
+ r->i = - r->i;
+ r->r = z->i / r->i / 2.0f;
+ }
+}
+
+
+#ifdef KR_headers
+double sqrt(), f__cabs();
+VOID z_sqrt(r, z) doublecomplex *r, *z;
+#else
+#undef abs
+
+extern double f__cabs(double, double);
+void z_sqrt(doublecomplex *r, doublecomplex *z)
+#endif
+{
+double mag;
+
+if( (mag = f__cabs(z->r, z->i)) == 0.)
+ r->r = r->i = 0.;
+else if(z->r > 0)
+ {
+ r->r = sqrt(0.5 * (mag + z->r) );
+ r->i = z->i / r->r / 2;
+ }
+else
+ {
+ r->i = sqrt(0.5 * (mag - z->r) );
+ if(z->i < 0)
+ r->i = - r->i;
+ r->r = z->i / r->i / 2;
+ }
+}
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#ifdef KR_headers
+integer pow_ii(ap, bp) integer *ap, *bp;
+#else
+integer pow_ii(integer *ap, integer *bp)
+#endif
+{
+ integer pow, x, n;
+ unsigned long u;
+
+ x = *ap;
+ n = *bp;
+
+ if (n <= 0) {
+ if (n == 0 || x == 1)
+ return 1;
+ if (x != -1)
+ return x == 0 ? 1/x : 0;
+ n = -n;
+ }
+ u = n;
+ for(pow = 1; ; )
+ {
+ if(u & 01)
+ pow *= x;
+ if(u >>= 1)
+ x *= x;
+ else
+ break;
+ }
+ return(pow);
+ }
+#ifdef __cplusplus
+}
+#endif
+
+#ifdef KR_headers
+extern void f_exit();
+VOID s_stop(s, n) char *s; ftnlen n;
+#else
+#undef abs
+#undef min
+#undef max
+#ifdef __cplusplus
+extern "C" {
+#endif
+#ifdef __cplusplus
+extern "C" {
+#endif
+void f_exit(void);
+
+int s_stop(char *s, ftnlen n)
+#endif
+{
+int i;
+
+if(n > 0)
+ {
+ fprintf(stderr, "STOP ");
+ for(i = 0; i<n ; ++i)
+ putc(*s++, stderr);
+ fprintf(stderr, " statement executed\n");
+ }
+#ifdef NO_ONEXIT
+f_exit();
+#endif
+exit(0);
+
+/* We cannot avoid (useless) compiler diagnostics here: */
+/* some compilers complain if there is no return statement, */
+/* and others complain that this one cannot be reached. */
+
+return 0; /* NOT REACHED */
+}
+#ifdef __cplusplus
+}
+#endif
+#ifdef __cplusplus
+}
+#endif