SMT HAS NMAC WITH SMA IN TFC PATTERN.

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I WAS CLRED TO LAND BEHIND A C-172 ON RWY 04. THEN I WAS ADVISED TO GAR; AT WHICH POINT I DID. I WAS CLBING OUT ON RWY HDG WHEN I WAS INSTRUCTED BY THE TWR CTLR TO START MY L XWIND TURN. SO I DID AS WAS INSTRUCTED. WHEN I WAS IN THE XWIND STILL CLBING THE TWR CTLR CALLED TFC AT MY 1 O'CLOCK POS. I LEVELED OFF FROM THE CLB AND THERE WAS THE C-172 RIGHT IN FRONT OF ME IN THE DOWNWIND FOR RWY 04. I BELIEVE IT WAS THE FAILURE OF THE CTLR TO HAVE CALLED FOR ME TO TURN MY XWIND WHEN HE KNEW THERE WAS DOWNWIND TFC. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATES HE WAS BROUGHT IN ON A STRAIGHT APCH AND WAS NOT TOLD THERE WAS TFC AHEAD OF HIM. HAD HE KNOWN HE WOULD HAVE STARTED TO SLOW DOWN SOONER. HIS ACFT WAS MUCH FASTER THAN THE 172 AHEAD. WHEN ON THE GAR TWR CALLED HIS TURN; OTHERWISE HE WOULD HAVE CONTINUED OUT FURTHER ON THE UP WIND LEG. HE SAID IT IS JUST LUCKY THAT HE LOWERED THE NOSE A BIT IN HIS TURN OR HE WOULD HAVE OVERRUN THE SECOND 172. HE WAS NEVER ADVISED OF THE TFC.