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math: clean up __rem_pio2
- remove the HAVE_EFFICIENT_IRINT case: fn is an exact integer, so it can be converted to int32_t a bit more efficiently than with a cast (the rounding mode change can be avoided), but musl does not support this case on any arch. - __rem_pio2: use double_t where possible - __rem_pio2f: use less assignments to avoid stores on i386 - use unsigned int bit manipulation (and union instead of macros) - use hexfloat literals instead of named constants
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@ -270,10 +270,6 @@ static const double PIo2[] = {
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2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
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};
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static const double
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two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
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twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
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int __rem_pio2_large(double *x, double *y, int e0, int nx, int prec)
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{
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int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
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@ -304,8 +300,8 @@ int __rem_pio2_large(double *x, double *y, int e0, int nx, int prec)
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recompute:
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/* distill q[] into iq[] reversingly */
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for (i=0,j=jz,z=q[jz]; j>0; i++,j--) {
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fw = (double)((int32_t)(twon24* z));
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iq[i] = (int32_t)(z-two24*fw);
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fw = (double)(int32_t)(0x1p-24*z);
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iq[i] = (int32_t)(z - 0x1p24*fw);
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z = q[j-1]+fw;
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}
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@ -330,7 +326,7 @@ recompute:
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if (carry == 0) {
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if (j != 0) {
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carry = 1;
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iq[i] = 0x1000000- j;
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iq[i] = 0x1000000 - j;
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}
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} else
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iq[i] = 0xffffff - j;
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@ -378,9 +374,9 @@ recompute:
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}
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} else { /* break z into 24-bit if necessary */
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z = scalbn(z,-q0);
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if (z >= two24) {
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fw = (double)((int32_t)(twon24*z));
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iq[jz] = (int32_t)(z-two24*fw);
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if (z >= 0x1p24) {
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fw = (double)(int32_t)(0x1p-24*z);
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iq[jz] = (int32_t)(z - 0x1p24*fw);
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jz += 1;
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q0 += 24;
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iq[jz] = (int32_t)fw;
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@ -392,7 +388,7 @@ recompute:
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fw = scalbn(1.0,q0);
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for (i=jz; i>=0; i--) {
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q[i] = fw*(double)iq[i];
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fw *= twon24;
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fw *= 0x1p-24;
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}
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/* compute PIo2[0,...,jp]*q[jz,...,0] */
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