FPREM
Usage: FPREM Modifies flags: See below.
Computes the remainder obtained from dividing the value in the ST(0) register (the dividend) by the value in the ST(1) register (the divisor or modulus), and stores the result in ST(0).
Floating-Point Partial Remainder
FPREM ; D9 F8 [8086,FPU]
FPREM1 ; D9 F5 [386,FPU]
These instructions both produce the remainder obtained by dividing ST0 by ST1. This is calculated, notionally, by dividing ST0 by ST1, rounding the result to an integer, multiplying by ST1 again, and computing the value which would need to be added back on to the result to get back to the original value in ST0.
The two instructions differ in the way the notional round-to-integer operation is performed. FPREM does it by rounding towards zero, so that the remainder it returns always has the same sign as the original value in ST0; FPREM1 does it by rounding to the nearest integer, so that the remainder always has at most half the magnitude of ST1.
Both instructions calculate remainders, meaning that they may not manage to provide the final result, but might leave intermediate results in ST0 instead. If this happens, they will set the C2 flag in the FPU status word; therefore, to calculate a remainder, you should repeatedly execute FPREM or FPREM1 until C2 becomes clear.
FPU Flags Affected C0 Set to bit 2 (Q2) of the quotient. C1 Set to 0 if stack underflow occurred; otherwise, set to least significant bit of quotient (Q0). C2 Set to 0 if reduction complete; set to 1 if incomplete. C3 Set to bit 1 (Q1) of the quotient.
Example:
fprem