? allocatemem(20*10^6); ? gettime;oo=[1]; ? \p96 realprecision = 96 significant digits ? intcirc(s=1,0.5,zeta(s))-1 -1.001878740 E-94 - 1.227730322 E-97*I ? intlaplaceinv(x=2,1,1/x)-1 7.37240875280988848267836598625171458524622502643 E-55 + 1.71877297004949632 7338218359953890598325317714312 E-54*I ? m=intnumstep(); ? intlaplaceinv(x=2,1,1/x,m+1)-1 1.498136434 E-95 + 8.25851081 E-95*I ? intlaplaceinv(x=5,1,1/x)-1 -5.985125294502659643 E-85 + 8.085986448700465906 E-85*I ? intlaplaceinv(x=100,1,1/x)-1 -2.047123106 E-55 - 3.351417365 E-53*I ? A=intmellininv(s=2,4,gamma(s)^3); ? tab=intfuncinit(t=[-oo,4.5],[oo,4.5],gamma(2+I*t)^3,1); ? intmellininvshort(2,4,tab)-A -3.072350108 E-97 + 9.90717831 E-100*I ? f(x)=1/(exp(x)-1)-exp(-x)/x ? F=truncate(f(t+O(t^7))); ? g(x)=if(x>1e-18,f(x),subst(F,t,x)) ? intnum(x=0,[oo,1],f(x))-Euler 3.7783741346110721665958525482 E-67 ? intnum(x=0,[oo,1],g(x))-Euler 0.E-96 ? intnum(x=0,1,1/sqrt(x))-2 -1.4009863823182375326 E-54 ? intnum(x=[0,-1/2],1,1/sqrt(x))-2 0.E-96 ? intnum(x=0,oo,sin(x)/x)-Pi/2 11.84217614 ? intnum(x=0,[oo,1],sin(x)/x)-Pi/2 0.00448267113448250456172244085159836765958193607953130895411895619311247452 425300891424918944797442 ? intnum(x=0,[oo,-I],sin(x)/x)-Pi/2 0.E-96 ? intnum(x=0,[oo,-2*I],sin(2*x)/x)-Pi/2 0.E-96 ? intnum(x=0,1,(1-cos(x))/x^2)+intnum(x=1,oo,1/x^2)-intnum(x=1,[oo,I],cos(x) /x^2)-Pi/2 -9.36335271 E-97 ? intnum(x=0,[oo,1],sin(x)^3*exp(-x))-0.3 0.E-96 ? intnum(x=0,[oo,-I],sin(x)^3*exp(-x))-0.3 -1.335284649 E-89 ? tab=intnuminit(0,[oo,-I],m+1); ? intnum(x=0,oo,sin(x)^3*exp(-x),tab)-0.3 0.E-96 ? intnum(x=0,[oo,-I],x^2*sin(x))+2 5.618011626 E-96 ? tab=intnuminit(-1,1); ? intnum(x=-1,1,intnum(y=-sqrt(1-x^2),sqrt(1-x^2),x^2+y^2,tab),tab)-Pi/2 -1.779037015 E-94 ? \p308 realprecision = 308 significant digits ? a=sumpos(n=1,1/(n^3+n+1)); ? tab=sumnuminit(2); ? b=sumnum(n=1,2,1/(n^3+n+1),tab); ? a-b -1.004064578 E-306 + 0.E-320*I ? sumnum(n=1,2,1/(n^3+n+1),tab,1)-a 1.004064578 E-306 ? c=sumnum(n=1,2,1/(n^2+1),tab,1); ? d=sumpos(n=1,1/(n^2+1)); ? d-c 1.969190365 E-306 ? sumnum(n=1,2,n^(-4/3),,1)-zeta(4/3) -2.4216544207504506114899981581969759071445497499100570634176004383007422693 6954882413244126542269381152110599476350651837206116316883640508880554373752 13154920980196906076673594248661407504915027261660100 E-107 ? tab=sumnuminit([2,-3/2]); ? sumnum(n=1,[2,-3/2],1/(n*sqrt(n)),tab,1)-zeta(3/2) -1.190414514 E-305 ? suminf(n=1,2^(-n))-1 -1.112536929 E-308 ? sumpos(n=1,2^(-n))-1 -2.781342324 E-308 ? sumnum(n=1,[2,log(2)],2^(-n),intnumstep()+1,1)-1 -1.950277237 E-305 ? tab=sumnuminit(2,,-1); ? a=sumnumalt(n=1,2,1/(n^3+n+1),tab,1); ? b=sumalt(n=1,(-1)^n/(n^3+n+1)); ? a-b -1.390671162 E-308 ? print("Total time spent: ",gettime); Total time spent: 46978 ? \q