SMA X CONFLICT ON FINAL APCH WITH SMA Y. SEE AND AVOID CONCEPT. EVASIVE ACTION TAKEN.

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15 MI NE OF FIELD AT 4000 FT MSL; CLRED FOR VISUAL APCH BY ZSE. AT 8 MI AND 2500 FT MSL; HANDED OFF TO TWR. CHKED IN WITH CALL SIGN; LOCATION AND REQUEST FOR RWY 16L. TWR RESPONDED 'PLAN FOR STRAIGHT-IN TO RWY 16L; RPT THE SAND PIT.' (LCL REF POINT ON GND.) APCHING THE SAND PIT; TWR ASKED ME IF I WAS THE SMA X ON A VISUAL APCH. WHEN I SAID I WAS; HE RESPONDED YOU NEED TO TELL ME THAT ON YOUR INITIAL CALL. APCH CONTINUED UNTIL 1 MI FINAL WITHOUT ADDITIONAL RADIO COM. ANOTHER SMA Y CALLED TWR SAYING THEY HAD STARTED A 360 DEG TURN TO AVOID A CONFLICT WITH MY ACFT. (THEY WERE ON A L BASE LEG FOR RWY 16L.) UNTIL THIS POINT I HAD NOT SEEN ANY OTHER ACFT IN THE PATTERN. TWR ASKED WHY I HAD NOT MADE A 2 MI CALL AND STATED YOU JUST CUT OUT ANOTHER ACFT IN THE PATTERN. MY REPLY WAS I WAS NOT AWARE HE HAD ASKED FOR A 2 MI CALL. SUMMARY: FAILED TO NOTE I WAS ON A VISUAL APCH ON INITIAL CHK IN WITH TWR. DID NOT HEAR REQUEST FOR 2 MI CALL. FAILED TO SEE OTHER ACFT ON BASE LEG FOR RWY 16L. ADDITIONAL FACTORS: TIRED; AWAKE FOR 12 HRS AFTER 6 HRS OF INTERRUPTED SLEEP. FOCUSED ATTN ON RWY AND DID NOT SCAN TO THE L FOR OTHER PATTERN TFC. THOUGHT CTLR HAD SEEN ME AND WAS AWARE OF PATTERN SPACING.