From 51dbabe47930264f11a8c511872f3ebbd49502d3 Mon Sep 17 00:00:00 2001 From: Luke Kenneth Casson Leighton Date: Mon, 18 Apr 2022 21:48:54 +0100 Subject: [PATCH] add mul knuth algorithm by hannah suarez --- openpower/sv/bitmanip/mulmnu.c | 96 ++++++++++++++++++++++++++++++++++ 1 file changed, 96 insertions(+) create mode 100644 openpower/sv/bitmanip/mulmnu.c diff --git a/openpower/sv/bitmanip/mulmnu.c b/openpower/sv/bitmanip/mulmnu.c new file mode 100644 index 000000000..2acdc08ec --- /dev/null +++ b/openpower/sv/bitmanip/mulmnu.c @@ -0,0 +1,96 @@ +/* from hacker's delight, originsl by hannah suarez (hcs0) */ +// Computes the m+n-halfword product of n halfwords x m halfwords, unsigned. +// Max line length is 57, to fit in hacker.book. +#include +#include //To define "exit", req'd by XLC. + +// w[0], u[0], and v[0] contain the LEAST significant halfwords. +// (The halfwords are in little-endian order). +// This is Knuth's Algorithm M from [Knuth Vol. 2 Third edition (1998)] +// section 4.3.1. Picture is: +// u[m-1] ... u[1] u[0] +// x v[n-1] ... v[1] v[0] +// -------------------- +// w[m+n-1] ............ w[1] w[0] + +void mulmnu(unsigned short w[], unsigned short u[], + unsigned short v[], int m, int n) { + + unsigned int k, t; + int i, j; + + for (i = 0; i < m; i++) + w[i] = 0; + + for (j = 0; j < n; j++) { + k = 0; + for (i = 0; i < m; i++) { + t = u[i]*v[j] + w[i + j] + k; + w[i + j] = t; // (I.e., t & 0xFFFF). + k = t >> 16; + } + w[j + m] = k; + } + return; +} + +int errors; + +void check(unsigned short result[], unsigned short u[], + unsigned short v[], int m, int n, unsigned short correct[]) { + int i, j; + + for (i = 0; i < m + n; i++) { + if (correct[i] != result[i]) { + errors = errors + 1; + printf("Error, m = %d, n = %d, u = ", m, n); + for (j = 0; j < m; j++) printf(" %04x", u[j]); + printf(" v ="); + for (j = 0; j < n; j++) printf(" %04x", v[j]); + printf("\nShould get:"); + for (j = 0; j < n+m; j++) printf(" %04x", correct[j]); + printf("\n Got:"); + for (j = 0; j < n+m; j++) printf(" %04x", result[j]); + printf("\n"); + break; + } + } +} + +int main() { + static unsigned short test[] = { + // m, n, u ..., v ..., result. + 1, 1, 7, 3, 21,0, + 1, 1, 2, 0xFFFF, 0xFFFE,0x0001, // 2*FFFF = 0001_FFFE. + 1, 1, 0xFFFF, 0xFFFF, 1,0xFFFE, + 1, 2, 7, 5, 6, 35,42,0, + 1, 2, 65000, 63000, 64000, 0xBDC0,0x8414,0xF7F5, + 1, 3, 65535, 31000, 32000, 33000, 0x86E8,0xFC17,0xFC17,0x80E7, + 2, 3, 400, 300, 500, 100, 200, 0x0D40,0xE633,0xADB2,0xEA61,0, + 2, 3, 400, 65535, 500, 100, 65534, 0x0D40,0x9A4F,0xFE70,0x01F5,0xFFFD, + 4, 4, 65535, 65535, 65535, 65535, 65535, 65535, 65535, 65535, + 1, 0, 0, 0, 65534, 65535, 65535, 65535, + }; + int i, n, m, ncases; + unsigned short result[10]; + unsigned short *u, *v; + + printf("mulmnu:\n"); + i = 0; + ncases = 0; + while (i < sizeof(test)/2) { + m = test[i]; + n = test[i+1]; + u = &test[i+2]; + v = &test[i+2+m]; + mulmnu(result, u, v, m, n); + check (result, u, v, m, n, &test[i+2+m+n]); + mulmnu(result, v, u, n, m); // Interchange operands. + check (result, v, u, n, m, &test[i+2+m+n]); + i = i + 2 + 2*(m + n); + ncases = ncases + 1; + } + + if (errors == 0) + printf("Passed all %d cases.\n", ncases); +} -- 2.30.2