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+//
+// This confidential and proprietary software may be used only as
+// authorised by a licensing agreement from ARM Limited
+// (C) COPYRIGHT 2020-2024 ARM Limited
+// ALL RIGHTS RESERVED
+// The entire notice above must be reproduced on all authorised
+// copies and copies may only be made to the extent permitted
+// by a licensing agreement from ARM Limited.
+
+fp64_t exp2(int n) {
+ if (n < -1075) {
+ return 0.0; // smaller than smallest denormal
+ }
+ REQUIRE(n <= 1023);
+ fp64_t v = 1.0;
+ while (n > 0) { v = v*2.0; n--; }
+ while (n < 0) { v = v/2.0; n++; }
+ return v;
+}
+
+int ilog2(fp64_t v) {
+ REQURE(0 < v && v < infinity);
+ int n = 0;
+ while (v >= 2.0) { v = v/2.0; n++; }
+ while (v < 1.0) { v = v*2.0; n--; }
+ return n;
+}
+
+fp64_t normal_min<in_t>() {
+ switch (in_t) {
+ case fp32_t: return exp2(-126);
+ case bf16_t: return exp2(-126);
+ case fp16_t: return exp2( -14);
+ }
+}
+
+fp64_t normal_max<in_t>() {
+ switch (in_t) {
+ case fp32_t: return exp2(128) - exp2(127-23);
+ case bf16_t: return exp2(128) - exp2(127- 7);
+ case fp16_t: return exp2( 16) - exp2( 15-10);
+ }
+}
+
+// Number of fractional (mantissa bits)
+int normal_frac<in_t> () {
+ switch (in_t) {
+ case fp32_t: return 23;
+ case fp16_t: return 10;
+ case bf16_t: return 7;
+ }
+}