aboutsummaryrefslogtreecommitdiff
path: root/pl/math/pairwise_horner_wrap.h
diff options
context:
space:
mode:
Diffstat (limited to 'pl/math/pairwise_horner_wrap.h')
-rw-r--r--pl/math/pairwise_horner_wrap.h48
1 files changed, 48 insertions, 0 deletions
diff --git a/pl/math/pairwise_horner_wrap.h b/pl/math/pairwise_horner_wrap.h
new file mode 100644
index 0000000..e56f059
--- /dev/null
+++ b/pl/math/pairwise_horner_wrap.h
@@ -0,0 +1,48 @@
+/*
+ * Helper macros for pairwise Horner polynomial evaluation.
+ *
+ * Copyright (c) 2022-2023, Arm Limited.
+ * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
+ */
+
+// clang-format off
+#define PW_HORNER_1_(x, c, i) FMA(x, c(i + 1), c(i))
+#define PW_HORNER_3_(x, x2, c, i) FMA(x2, PW_HORNER_1_ (x, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_5_(x, x2, c, i) FMA(x2, PW_HORNER_3_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_7_(x, x2, c, i) FMA(x2, PW_HORNER_5_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_9_(x, x2, c, i) FMA(x2, PW_HORNER_7_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_11_(x, x2, c, i) FMA(x2, PW_HORNER_9_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_13_(x, x2, c, i) FMA(x2, PW_HORNER_11_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_15_(x, x2, c, i) FMA(x2, PW_HORNER_13_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_17_(x, x2, c, i) FMA(x2, PW_HORNER_15_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+
+#define PAIRWISE_HORNER_1(x, c) PW_HORNER_1_ (x, c, 0)
+#define PAIRWISE_HORNER_3(x, x2, c) PW_HORNER_3_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_5(x, x2, c) PW_HORNER_5_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_7(x, x2, c) PW_HORNER_7_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_9(x, x2, c) PW_HORNER_9_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_11(x, x2, c) PW_HORNER_11_(x, x2, c, 0)
+#define PAIRWISE_HORNER_13(x, x2, c) PW_HORNER_13_(x, x2, c, 0)
+#define PAIRWISE_HORNER_15(x, x2, c) PW_HORNER_15_(x, x2, c, 0)
+#define PAIRWISE_HORNER_17(x, x2, c) PW_HORNER_17_(x, x2, c, 0)
+
+#define PW_HORNER_2_(x, x2, c, i) FMA(x2, c(i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_4_(x, x2, c, i) FMA(x2, PW_HORNER_2_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_6_(x, x2, c, i) FMA(x2, PW_HORNER_4_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_8_(x, x2, c, i) FMA(x2, PW_HORNER_6_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_10_(x, x2, c, i) FMA(x2, PW_HORNER_8_ (x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_12_(x, x2, c, i) FMA(x2, PW_HORNER_10_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_14_(x, x2, c, i) FMA(x2, PW_HORNER_12_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_16_(x, x2, c, i) FMA(x2, PW_HORNER_14_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+#define PW_HORNER_18_(x, x2, c, i) FMA(x2, PW_HORNER_16_(x, x2, c, i + 2), PW_HORNER_1_(x, c, i))
+
+#define PAIRWISE_HORNER_2(x, x2, c) PW_HORNER_2_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_4(x, x2, c) PW_HORNER_4_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_6(x, x2, c) PW_HORNER_6_ (x, x2, c, 0)
+#define PAIRWISE_HORNER_8(x, x2, c) PW_HORNER_8_(x, x2, c, 0)
+#define PAIRWISE_HORNER_10(x, x2, c) PW_HORNER_10_(x, x2, c, 0)
+#define PAIRWISE_HORNER_12(x, x2, c) PW_HORNER_12_(x, x2, c, 0)
+#define PAIRWISE_HORNER_14(x, x2, c) PW_HORNER_14_(x, x2, c, 0)
+#define PAIRWISE_HORNER_16(x, x2, c) PW_HORNER_16_(x, x2, c, 0)
+#define PAIRWISE_HORNER_18(x, x2, c) PW_HORNER_18_(x, x2, c, 0)
+// clang-format on