ref: 3d4d7c4ca9eb30d468d71c26f4b4588c800c9d1c
dir: /lib/math/ancillary/ulp.gp/
/* I always end up need this for debugging */ { ulp32(a) = my(aa, q); aa = abs(a); if(aa < 2^(-150),return(2^(-126 - 23)),); q = floor(log(aa)/log(2)); if(q < -126,q=-126,); return(2^(q-23)); } { ulp64(a) = my(aa, q); aa = abs(a); if(aa < 2^(-2000),return(2^(-1022 - 52)),); q = floor(log(aa)/log(2)); if(q < -1022,q=-1022,); return(2^(q-52)); } { err32(x, y) = return(abs(x-y)/ulp32(x)); } { err64(x, y) = return(abs(x-y)/ulp64(x)); }