diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/double/ltstd.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/double/ltstd.c')
-rw-r--r-- | libm/double/ltstd.c | 469 |
1 files changed, 469 insertions, 0 deletions
diff --git a/libm/double/ltstd.c b/libm/double/ltstd.c new file mode 100644 index 000000000..f47fc3907 --- /dev/null +++ b/libm/double/ltstd.c @@ -0,0 +1,469 @@ +/* ltstd.c */ +/* Function test routine. + * Requires long double type check routine and double precision function + * under test. Indicate function name and range in #define statements + * below. Modifications for two argument functions and absolute + * rather than relative accuracy report are indicated. + */ + +#include <stdio.h> +/* int printf(), gets(), sscanf(); */ + +#include <math.h> +#ifdef ANSIPROT +int drand ( void ); +int dprec ( void ); +int ldprec ( void ); +double exp ( double ); +double sqrt ( double ); +double fabs ( double ); +double floor ( double ); +long double sqrtl ( long double ); +long double fabsl ( long double ); +#else +int drand(); +int dprec(), ldprec(); +double exp(), sqrt(), fabs(), floor(); +long double sqrtl(), fabsl(); +#endif + +#define RELERR 1 +#define ONEARG 0 +#define ONEINT 0 +#define TWOARG 0 +#define TWOINT 0 +#define THREEARG 1 +#define THREEINT 0 +#define FOURARG 0 +#define VECARG 0 +#define FOURANS 0 +#define TWOANS 0 +#define PROB 0 +#define EXPSCALE 0 +#define EXPSC2 0 +/* insert function to be tested here: */ +#define FUNC hyperg +double FUNC(); +#define QFUNC hypergl +long double QFUNC(); +/*extern int aiconf;*/ + +extern double MAXLOG; +extern double MINLOG; +extern double MAXNUM; +#define LTS 3.258096538 +/* insert low end and width of test interval */ +#define LOW 0.0 +#define WIDTH 30.0 +#define LOWA 0.0 +#define WIDTHA 30.0 +/* 1.073741824e9 */ +/* 2.147483648e9 */ +long double qone = 1.0L; +static long double q1, q2, q3, qa, qb, qc, qz, qy1, qy2, qy3, qy4; +static double y2, y3, y4, a, b, c, x, y, z, e; +static long double qe, qmax, qrmsa, qave; +volatile double v; +static long double lp[3], lq[3]; +static double dp[3], dq[3]; + +char strave[20]; +char strrms[20]; +char strmax[20]; +double underthresh = 2.22507385850720138309E-308; /* 2^-1022 */ + +void main() +{ +char s[80]; +int i, j, k; +long m, n; + +merror = 0; +ldprec(); /* set up coprocessor. */ +/*aiconf = -1;*/ /* configure Airy function */ +x = 1.0; +z = x * x; +qmax = 0.0L; +sprintf(strmax, "%.4Le", qmax ); +qrmsa = 0.0L; +qave = 0.0L; + +#if 1 +printf(" Start at random number #:" ); +gets( s ); +sscanf( s, "%ld", &n ); +printf("%ld\n", n ); +#else +n = 0; +#endif + +for( m=0; m<n; m++ ) + drand( &x ); +n = 0; +m = 0; +x = floor( x ); + +loop: + +for( i=0; i<500; i++ ) +{ +n++; +m++; + +#if ONEARG || TWOARG || THREEARG || FOURARG +/*ldprec();*/ /* set up floating point coprocessor */ +/* make random number in desired range */ +drand( &x ); +x = WIDTH * ( x - 1.0 ) + LOW; +#if EXPSCALE +x = exp(x); +drand( &a ); +a = 1.0e-13 * x * a; +if( x > 0.0 ) + x -= a; +else + x += a; +#endif +#if ONEINT +k = x; +x = k; +#endif +v = x; +q1 = v; /* double number to q type */ +#endif + +/* do again if second argument required */ + +#if TWOARG || THREEARG || FOURARG +drand( &a ); +a = WIDTHA * ( a - 1.0 ) + LOWA; +/*a /= 50.0;*/ +#if EXPSC2 +a = exp(a); +drand( &y2 ); +y2 = 1.0e-13 * y2 * a; +if( a > 0.0 ) + a -= y2; +else + a += y2; +#endif +#if TWOINT || THREEINT +k = a + 0.25; +a = k; +#endif +v = a; +qy4 = v; +#endif + +#if THREEARG || FOURARG +drand( &b ); +#if PROB +/* +b = b - 1.0; +b = a * b; +*/ +#if 1 +/* This makes b <= a, for bdtr. */ +b = (a - LOWA) * ( b - 1.0 ) + LOWA; +if( b > 1.0 && a > 1.0 ) + b -= 1.0; +else + { + a += 1.0; + k = a; + a = k; + v = a; + qy4 = v; + } +#else +b = WIDTHA * ( b - 1.0 ) + LOWA; +#endif + +/* Half-integer a and b */ +/* +a = 0.5*floor(2.0*a+1.0); +b = 0.5*floor(2.0*b+1.0); +*/ +v = a; +qy4 = v; +/*x = (a / (a+b));*/ + +#else +b = WIDTHA * ( b - 1.0 ) + LOWA; +#endif +#if THREEINT +j = b + 0.25; +b = j; +#endif +v = b; +qb = v; +#endif + +#if FOURARG +drand( &c ); +c = WIDTHA * ( c - 1.0 ) + LOWA; +/* for hyp2f1 to ensure c-a-b > -1 */ +/* +z = c-a-b; +if( z < -1.0 ) + c -= 1.6 * z; +*/ +v = c; +qc = v; +#endif + +#if VECARG +for( j=0; j<3; j++) + { + drand( &x ); + x = WIDTH * ( x - 1.0 ) + LOW; + v = x; + dp[j] = v; + q1 = v; /* double number to q type */ + lp[j] = q1; + drand( &x ); + x = WIDTH * ( x - 1.0 ) + LOW; + v = x; + dq[j] = v; + q1 = v; /* double number to q type */ + lq[j] = q1; + } +#endif /* VECARG */ + +/*printf("%.16E %.16E\n", a, x);*/ +/* compute function under test */ +/* Set to double precision */ +/*dprec();*/ +#if ONEARG +#if FOURANS +/*FUNC( x, &z, &y2, &y3, &y4 );*/ +FUNC( x, &y4, &y2, &y3, &z ); +#else +#if TWOANS +FUNC( x, &z, &y2 ); +/*FUNC( x, &y2, &z );*/ +#else +#if ONEINT +z = FUNC( k ); +#else +z = FUNC( x ); +#endif +#endif +#endif +#endif + +#if TWOARG +#if TWOINT +z = FUNC( k, x ); +/*z = FUNC( x, k );*/ +/*z = FUNC( a, x );*/ +#else +#if FOURANS +FUNC( a, x, &z, &y2, &y3, &y4 ); +#else +z = FUNC( a, x ); +#endif +#endif +#endif + +#if THREEARG +#if THREEINT +z = FUNC( j, k, x ); +#else +z = FUNC( a, b, x ); +#endif +#endif + +#if FOURARG +z = FUNC( a, b, c, x ); +#endif + +#if VECARG +z = FUNC( dp, dq ); +#endif + +q2 = z; +/* handle detected overflow */ +if( (z == MAXNUM) || (z == -MAXNUM) ) + { + printf("detected overflow "); +#if FOURARG + printf("%.4E %.4E %.4E %.4E %.4E %6ld \n", + a, b, c, x, y, n); +#else + printf("%.16E %.4E %.4E %6ld \n", x, a, z, n); +#endif + e = 0.0; + m -= 1; + goto endlup; + } +/* Skip high precision if underflow. */ +if( merror == UNDERFLOW ) + goto underf; + +/* compute high precision function */ +/*ldprec();*/ +#if ONEARG +#if FOURANS +/*qy4 = QFUNC( q1, qz, qy2, qy3 );*/ +qz = QFUNC( q1, qy4, qy2, qy3 ); +#else +#if TWOANS +qy2 = QFUNC( q1, qz ); +/*qz = QFUNC( q1, qy2 );*/ +#else +/* qy4 = 0.0L;*/ +/* qy4 = 1.0L;*/ +/*qz = QFUNC( qy4, q1 );*/ +/*qz = QFUNC( 1, q1 );*/ +qz = QFUNC( q1 ); /* normal */ +#endif +#endif +#endif + +#if TWOARG +#if TWOINT +qz = QFUNC( k, q1 ); +/*qz = QFUNC( q1, qy4 );*/ +/*qz = QFUNC( qy4, q1 );*/ +#else +#if FOURANS +qc = QFUNC( qy4, q1, qz, qy2, qy3 ); +#else +/*qy4 = 0.0L;;*/ +/*qy4 = 1.0L );*/ +qz = QFUNC( qy4, q1 ); +#endif +#endif +#endif + +#if THREEARG +#if THREEINT +qz = QFUNC( j, k, q1 ); +#else +qz = QFUNC( qy4, qb, q1 ); +#endif +#endif + +#if FOURARG +qz = QFUNC( qy4, qb, qc, q1 ); +#endif + +#if VECARG +qz = QFUNC( lp, lq ); +#endif + +y = qz; /* correct answer, in double precision */ + +/* get absolute error, in extended precision */ +qe = q2 - qz; +e = qe; /* the error in double precision */ + +/* handle function result equal to zero + or underflowed. */ +if( qz == 0.0L || merror == UNDERFLOW || fabs(z) < underthresh ) + { +underf: + merror = 0; +/* Don't bother to print anything. */ +#if 0 + printf("ans 0 "); +#if ONEARG + printf("%.8E %.8E %.4E %6ld \n", x, y, e, n); +#endif + +#if TWOARG +#if TWOINT + printf("%d %.8E %.8E %.4E %6ld \n", k, x, y, e, n); +#else + printf("%.6E %.6E %.6E %.4E %6ld \n", a, x, y, e, n); +#endif +#endif + +#if THREEARG + printf("%.6E %.6E %.6E %.6E %.4E %6ld \n", a, b, x, y, e, n); +#endif + +#if FOURARG + printf("%.4E %.4E %.4E %.4E %.4E %.4E %6ld \n", + a, b, c, x, y, e, n); +#endif +#endif /* 0 */ + qe = 0.0L; + e = 0.0; + m -= 1; + goto endlup; + } + +else + +/* relative error */ + +/* comment out the following two lines if absolute accuracy report */ + +#if RELERR + qe = qe / qz; +#else + { + q2 = qz; + q2 = fabsl(q2); + if( q2 > 1.0L ) + qe = qe / qz; + } +#endif + +qave = qave + qe; +/* absolute value of error */ +qe = fabs(qe); + +/* peak detect the error */ +if( qe > qmax ) + { + qmax = qe; + sprintf(strmax, "%.4Le", qmax ); +#if ONEARG + printf("%.8E %.8E %s %6ld \n", x, y, strmax, n); +#endif +#if TWOARG +#if TWOINT + printf("%d %.8E %.8E %s %6ld \n", k, x, y, strmax, n); +#else + printf("%.6E %.6E %.6E %s %6ld \n", a, x, y, strmax, n); +#endif +#endif +#if THREEARG + printf("%.6E %.6E %.6E %.6E %s %6ld \n", a, b, x, y, strmax, n); +#endif +#if FOURARG + printf("%.4E %.4E %.4E %.4E %.4E %s %6ld \n", + a, b, c, x, y, strmax, n); +#endif +#if VECARG + printf("%.8E %s %6ld \n", y, strmax, n); +#endif + } + +/* accumulate rms error */ +/* rmsa += e * e; accumulate the square of the error */ +q2 = qe * qe; +qrmsa = qrmsa + q2; +endlup: ; +/*ldprec();*/ +} + +/* report every 500 trials */ +/* rms = sqrt( rmsa/m ); */ +q1 = m; +q2 = qrmsa / q1; +q2 = sqrtl(q2); +sprintf(strrms, "%.4Le", q2 ); + +q2 = qave / q1; +sprintf(strave, "%.4Le", q2 ); +/* +printf("%6ld max = %s rms = %s ave = %s \n", m, strmax, strrms, strave ); +*/ +printf("%6ld max = %s rms = %s ave = %s \r", m, strmax, strrms, strave ); +fflush(stdout); +goto loop; +} |