diff options
Diffstat (limited to 'numpy/linalg/lapack_lite/f2c.c')
-rw-r--r-- | numpy/linalg/lapack_lite/f2c.c | 680 |
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 |